Global Index

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Notation Index

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Binder Index

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Module Index

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(94 entries)

Variable Index

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(764 entries)

Library Index

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(191 entries)

Lemma Index

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Constructor Index

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(281 entries)

Axiom Index

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(52 entries)

Inductive Index

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(119 entries)

Projection Index

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(110 entries)

Section Index

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(284 entries)

Instance Index

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(366 entries)

Abbreviation Index

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(182 entries)

Definition Index

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(1487 entries)

Record Index

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(52 entries)

---

Global Index

A

A [definition, in hydras.OrdinalNotations.ON_Omega2]
Abelian_Monoid [record, in additions.Monoid_def]
Abelian_EMonoid [record, in additions.Monoid_def]
Abstract_Properties.alpha [variable, in hydras.Epsilon0.Hprime]
Abstract_Properties [section, in hydras.Epsilon0.Hprime]
absurd1 [lemma, in hydras.Ackermann.LNN]
absurd1 [lemma, in hydras.Ackermann.LNT]
absurd1 [lemma, in hydras.Ackermann.folLogic]
AB_given.rel_to_fun.Rf [variable, in hydras.Schutte.PartialFun]
AB_given.rel_to_fun [section, in hydras.Schutte.PartialFun]
AB_given.f_given.Rf [variable, in hydras.Schutte.PartialFun]
AB_given.f_given.f [variable, in hydras.Schutte.PartialFun]
AB_given.f_given [section, in hydras.Schutte.PartialFun]
AB_given.DB [variable, in hydras.Schutte.PartialFun]
AB_given.DA [variable, in hydras.Schutte.PartialFun]
AB_given.Hb [variable, in hydras.Schutte.PartialFun]
AB_given.Ha [variable, in hydras.Schutte.PartialFun]
AB_given.B [variable, in hydras.Schutte.PartialFun]
AB_given.A [variable, in hydras.Schutte.PartialFun]
AB_given [section, in hydras.Schutte.PartialFun]
ab1:18 [binder, in hydras.MoreAck.Ack]
ab2:19 [binder, in hydras.MoreAck.Ack]
ab:34 [binder, in hydras.MoreAck.Ack]
Accs_all [lemma, in hydras.solutions_exercises.MultisetWf]
acc_from_to_round_plus [lemma, in hydras.Hydra.O2H]
acc_from [definition, in gaia_hydras.GPaths]
Acc_nil [lemma, in hydras.solutions_exercises.MultisetWf]
Acc_inverse_image [lemma, in additions.Wf_transparent]
Acc_lemma [lemma, in additions.Wf_transparent]
acc_from_LT [lemma, in hydras.Epsilon0.Paths]
acc_from_trans [lemma, in hydras.Epsilon0.Paths]
acc_from [definition, in hydras.Epsilon0.Paths]
acc_trans [lemma, in hydras.rpo.closure]
acc_rec [lemma, in gaia_hydras.nfwfgaia]
acc_imp [lemma, in hydras.solutions_exercises.T1_ltNotWf]
acc1:10 [binder, in additions.fib]
acc1:5 [binder, in additions.fib]
acc2:11 [binder, in additions.fib]
acc2:6 [binder, in additions.fib]
acc:108 [binder, in hydras.MoreAck.PrimRecExamples]
acc:113 [binder, in hydras.rpo.list_set]
acc:118 [binder, in hydras.rpo.list_set]
acc:126 [binder, in hydras.rpo.list_set]
acc:133 [binder, in hydras.rpo.list_set]
acc:140 [binder, in hydras.rpo.list_set]
acc:144 [binder, in hydras.rpo.list_set]
acc:148 [binder, in hydras.rpo.list_set]
acc:16 [binder, in additions.Compatibility]
acc:18 [binder, in additions.fib]
acc:20 [binder, in additions.Compatibility]
acc:232 [binder, in hydras.rpo.list_set]
acc:235 [binder, in hydras.rpo.list_set]
acc:238 [binder, in hydras.rpo.list_set]
acc:242 [binder, in hydras.rpo.list_set]
acc:71 [binder, in additions.fib]
acc:78 [binder, in additions.fib]
acc:87 [binder, in hydras.rpo.list_set]
Ack [definition, in hydras.MoreAck.Ack]
Ack [definition, in hydras.MoreAck.Ack]
Ack [library]
Ackermann [module, in gaia_hydras.nfwfgaia]
Ackermann.addC_CE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_normal [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_le4 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_le3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_inj [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_le2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_le1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_to_cons [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_fin_omega [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add_int [lemma, in gaia_hydras.nfwfgaia]
Ackermann.add1Nfin [lemma, in gaia_hydras.nfwfgaia]
Ackermann.all_zeroE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.all_zero [definition, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr2CE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr4 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_limit [lemma, in gaia_hydras.nfwfgaia]
Ackermann.ap_pr0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.CompareT3Eq [constructor, in gaia_hydras.nfwfgaia]
Ackermann.CompareT3Gt [constructor, in gaia_hydras.nfwfgaia]
Ackermann.CompareT3Lt [constructor, in gaia_hydras.nfwfgaia]
Ackermann.compare_T3 [inductive, in gaia_hydras.nfwfgaia]
Ackermann.conc1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.cons [constructor, in gaia_hydras.nfwfgaia]
Ackermann.epsilon0 [definition, in gaia_hydras.nfwfgaia]
Ackermann.fincP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.finite_ltP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.fooCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.le_succ_succE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.le_succ_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit_of [definition, in gaia_hydras.nfwfgaia]
Ackermann.limit_pr [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit_pr1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit10 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit11 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12a [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12b1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12b2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12b3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12b4 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12b5 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit12_hyp [definition, in gaia_hydras.nfwfgaia]
Ackermann.limit2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit4 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit5 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit6 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit7 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit8 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.limit9 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_4 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_succE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_omega2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_omega1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_epsilon0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_not_wf [lemma, in gaia_hydras.nfwfgaia]
Ackermann.lt_psi [definition, in gaia_hydras.nfwfgaia]
Ackermann.lt_rec [definition, in gaia_hydras.nfwfgaia]
Ackermann.lt_psi_rec [definition, in gaia_hydras.nfwfgaia]
Ackermann.minus_le [lemma, in gaia_hydras.nfwfgaia]
Ackermann.minus_lt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_add [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_sub [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_pred [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_finite [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_omega [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_split [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_Wf [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_consE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_cons_cons [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_int [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_psi [lemma, in gaia_hydras.nfwfgaia]
Ackermann.nf_0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.normal [definition, in gaia_hydras.nfwfgaia]
Ackermann.normal_compose [lemma, in gaia_hydras.nfwfgaia]
Ackermann.normal_limit [lemma, in gaia_hydras.nfwfgaia]
Ackermann.normal_id [lemma, in gaia_hydras.nfwfgaia]
Ackermann.omega [definition, in gaia_hydras.nfwfgaia]
Ackermann.omega_minus_one [lemma, in gaia_hydras.nfwfgaia]
Ackermann.omega_least_inf2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.omega_least_inf1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.one [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi [definition, in gaia_hydras.nfwfgaia]
Ackermann.phia [definition, in gaia_hydras.nfwfgaia]
Ackermann.phiE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phiE_3 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phiE_2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phiE_1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phiL [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phi_rec [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi_rec_psi [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi0 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi1 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi10 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi11 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi12a [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi12b2 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi12b3 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi12b4 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi12b5 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi3 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi3v [lemma, in gaia_hydras.nfwfgaia]
Ackermann.phi4 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi5 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi6 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi7 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi8 [definition, in gaia_hydras.nfwfgaia]
Ackermann.phi9 [definition, in gaia_hydras.nfwfgaia]
Ackermann.pred_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.pred_lt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.pred_le [lemma, in gaia_hydras.nfwfgaia]
Ackermann.psi_succ_pr1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.psi_succ [definition, in gaia_hydras.nfwfgaia]
Ackermann.psi_lt2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.psi_lt1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size [definition, in gaia_hydras.nfwfgaia]
Ackermann.size_prop [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_prop1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_psi [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_d [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_c [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_b [lemma, in gaia_hydras.nfwfgaia]
Ackermann.size_a [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_add [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_le [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_pred [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_is_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_limit [lemma, in gaia_hydras.nfwfgaia]
Ackermann.split_finite [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1rCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1r [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_nz [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_pr [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_le1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_1bCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_1aCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub_int [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub1a [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub1b [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sub1Nfin [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psiCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_prCE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psi2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psi1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_is_add_one [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psi_lt2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psi_lt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_psi [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_nz [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_inj [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_p1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_pred [lemma, in gaia_hydras.nfwfgaia]
Ackermann.succ_lt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_limit [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_zero [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sup_unique [lemma, in gaia_hydras.nfwfgaia]
Ackermann.sup_of [definition, in gaia_hydras.nfwfgaia]
Ackermann.Tf [abbreviation, in gaia_hydras.nfwfgaia]
Ackermann.TT1T3_inj [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T1succ_nat [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T1T3_surj [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T1T3_inc [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T1T3_lt_epsilon0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T1_T3 [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3 [inductive, in gaia_hydras.nfwfgaia]
Ackermann.T3add [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3addA [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3addn0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3addS [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3add_eq0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3add0n [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ap [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3bad [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3eq [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3eqE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3eqP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3eq_add2l [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3eq_le [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3finite [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3finite_succ [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3finite1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3finite2 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3GeqNotGtn [constructor, in gaia_hydras.nfwfgaia]
Ackermann.T3GeqNotLtn [constructor, in gaia_hydras.nfwfgaia]
Ackermann.T3ge1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3GtnNotLeq [constructor, in gaia_hydras.nfwfgaia]
Ackermann.T3gt1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3is_succ [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3lcp0_pr [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3leNgt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lenn [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3len0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3leP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3leq_xor_gtn [inductive, in gaia_hydras.nfwfgaia]
Ackermann.T3le_add2r [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_add2l [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_psi [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_total [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_anti [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_trans [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_lt_trans [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_consE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le_eqVlt [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3le0n [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3limit [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3lt [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3lta [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3ltE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ltgtP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ltNge [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ltnn [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3LtnNotGeq [constructor, in gaia_hydras.nfwfgaia]
Ackermann.T3ltn_xor_geq [inductive, in gaia_hydras.nfwfgaia]
Ackermann.T3ltn0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ltP [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3ltW [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_add2r [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_add2l [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_a [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_c [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_b [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_bc [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_le_trans [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_trans [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi' [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_trichotomy [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_anti [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_neAle [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_ne' [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_ne [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_consE [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt0n [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3lt1 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3nat [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3nf [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3nf_finite [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3pred [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3split [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3sub [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3subnn [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3subn0 [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3sub0n [lemma, in gaia_hydras.nfwfgaia]
Ackermann.T3succ [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3_eqType [definition, in gaia_hydras.nfwfgaia]
Ackermann.T3_eqMixin [definition, in gaia_hydras.nfwfgaia]
Ackermann.zero [constructor, in gaia_hydras.nfwfgaia]
_ - _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ + _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ > _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ >= _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ <= _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ < _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
\F _ (ak_scope) [notation, in gaia_hydras.nfwfgaia]
[ _ , _ , _ ] (ak_scope) [notation, in gaia_hydras.nfwfgaia]
_ < _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
Ackm:13 [binder, in hydras.MoreAck.Ack]
AckNotPR [library]
Ackn_IsPR [instance, in hydras.MoreAck.AckNotPR]
AckSn_as_PRiterate [lemma, in hydras.MoreAck.AckNotPR]
AckSn_as_iterate [lemma, in hydras.MoreAck.AckNotPR]
Ack_not_PR [lemma, in hydras.MoreAck.AckNotPR]
Ack_iterate_rw [lemma, in hydras.Epsilon0.F_omega]
Ack_strict_mono_l [lemma, in hydras.MoreAck.Ack]
Ack_Sn_plus [lemma, in hydras.MoreAck.Ack]
Ack_mono_r [lemma, in hydras.MoreAck.Ack]
Ack_mono_l [lemma, in hydras.MoreAck.Ack]
Ack_strict_mono [lemma, in hydras.MoreAck.Ack]
Ack_properties [lemma, in hydras.MoreAck.Ack]
Ack_m_mono_weak [lemma, in hydras.MoreAck.Ack]
Ack_Properties.Induc_step.Hm [variable, in hydras.MoreAck.Ack]
Ack_Properties.Induc_step.m [variable, in hydras.MoreAck.Ack]
Ack_Properties.Induc_step [section, in hydras.MoreAck.Ack]
Ack_Properties.P [variable, in hydras.MoreAck.Ack]
Ack_Properties [section, in hydras.MoreAck.Ack]
Ack_4_n [lemma, in hydras.MoreAck.Ack]
Ack_3_n [lemma, in hydras.MoreAck.Ack]
Ack_2_n [lemma, in hydras.MoreAck.Ack]
Ack_1_n [lemma, in hydras.MoreAck.Ack]
Ack_S_S [lemma, in hydras.MoreAck.Ack]
Ack_S_0 [lemma, in hydras.MoreAck.Ack]
Ack_0 [lemma, in hydras.MoreAck.Ack]
Adaptation [section, in additions.Compatibility]
Add [constructor, in additions.Trace_exercise]
addExists [definition, in Goedel.PRrepresentable]
addForalls [definition, in Goedel.PRrepresentable]
Addition [library]
Addition_Chains [library]
addPairwiseEquals [lemma, in hydras.Ackermann.folLogic3]
add_r_0 [lemma, in hydras.Hydra.Hydra_Lemmas]
add_r [definition, in hydras.Hydra.Hydra_Definitions]
add_head_r_plus [definition, in hydras.Hydra.Hydra_Definitions]
add_head_r [definition, in hydras.Hydra.Hydra_Definitions]
Aeq:64 [binder, in additions.Monoid_def]
Alive [definition, in hydras.Hydra.Hydra_Definitions]
Alive_standard [lemma, in hydras.Hydra.Hydra_Theorems]
Alive_free [lemma, in hydras.Hydra.Hydra_Theorems]
all_cases [lemma, in hydras.Hydra.O2H]
all_ord_acc [lemma, in hydras.Schutte.Schutte_basics]
Almost_done [lemma, in hydras.Hydra.BigBattle]
alpha_0_eq [definition, in hydras.Epsilon0.T1]
alpha_0 [definition, in hydras.Epsilon0.T1]
alpha_pos [lemma, in hydras.Hydra.O2H]
alpha_lt_beta [lemma, in hydras.Schutte.AP]
alpha_plus_zero [lemma, in hydras.Epsilon0.E0]
alpha_sup [lemma, in hydras.Schutte.Ordering_Functions]
alpha_A [lemma, in hydras.Schutte.Ordering_Functions]
alpha_plus_sup [lemma, in hydras.Schutte.Addition]
alpha_plus_zero [lemma, in hydras.Schutte.Addition]
alpha':137 [binder, in hydras.Gamma0.Gamma0]
alpha':193 [binder, in hydras.Epsilon0.T1]
alpha':322 [binder, in hydras.Epsilon0.T1]
alpha':462 [binder, in hydras.Gamma0.Gamma0]
alpha':505 [binder, in hydras.Gamma0.Gamma0]
alpha':509 [binder, in hydras.Gamma0.Gamma0]
alpha':548 [binder, in hydras.Gamma0.Gamma0]
alpha':551 [binder, in hydras.Gamma0.Gamma0]
alpha':92 [binder, in hydras.Epsilon0.T1]
alpha1 [definition, in hydras.OrdinalNotations.ON_Finite]
alpha1:28 [binder, in hydras.Gamma0.T2]
alpha1:36 [binder, in hydras.Gamma0.T2]
alpha1:43 [binder, in hydras.Gamma0.T2]
alpha1:51 [binder, in hydras.Gamma0.T2]
alpha1:58 [binder, in hydras.Gamma0.T2]
alpha1:64 [binder, in hydras.Gamma0.T2]
alpha1:665 [binder, in hydras.Gamma0.Gamma0]
alpha1:674 [binder, in hydras.Gamma0.Gamma0]
alpha2:29 [binder, in hydras.Gamma0.T2]
alpha2:44 [binder, in hydras.Gamma0.T2]
alpha2:52 [binder, in hydras.Gamma0.T2]
alpha2:667 [binder, in hydras.Gamma0.Gamma0]
alpha2:676 [binder, in hydras.Gamma0.Gamma0]
alpha:1 [binder, in hydras.solutions_exercises.is_F_monotonous]
alpha:1 [binder, in gaia_hydras.GF_alpha]
alpha:1 [binder, in gaia_hydras.GHprime]
alpha:1 [binder, in hydras.Epsilon0.Hessenberg]
alpha:1 [binder, in hydras.Epsilon0.Large_Sets]
alpha:1 [binder, in hydras.Schutte.Critical]
alpha:1 [binder, in hydras.Schutte.AP]
alpha:1 [binder, in hydras.Epsilon0.L_alpha]
alpha:1 [binder, in hydras.Hydra.Hydra_Theorems]
alpha:1 [binder, in hydras.Epsilon0.Canon]
alpha:1 [binder, in hydras.solutions_exercises.ge_omega_iff]
alpha:1 [binder, in hydras.Epsilon0.Hprime]
alpha:1 [binder, in gaia_hydras.GL_alpha]
alpha:1 [binder, in gaia_hydras.T2Bridge]
alpha:1 [binder, in hydras.Schutte.Addition]
alpha:1 [binder, in gaia_hydras.GHessenberg]
alpha:10 [binder, in hydras.Schutte.Correctness_E0]
alpha:10 [binder, in gaia_hydras.GF_alpha]
alpha:10 [binder, in gaia_hydras.GHprime]
alpha:10 [binder, in hydras.Epsilon0.Hessenberg]
alpha:10 [binder, in hydras.Schutte.Critical]
alpha:10 [binder, in hydras.Schutte.Addition]
alpha:100 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:100 [binder, in hydras.Schutte.Schutte_basics]
alpha:100 [binder, in hydras.Epsilon0.E0]
alpha:100 [binder, in hydras.Epsilon0.Paths]
alpha:101 [binder, in hydras.Hydra.O2H]
alpha:101 [binder, in hydras.Prelude.Comparable]
alpha:101 [binder, in hydras.Schutte.Schutte_basics]
alpha:102 [binder, in hydras.Epsilon0.T1]
alpha:102 [binder, in hydras.Schutte.Schutte_basics]
alpha:102 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:102 [binder, in hydras.Epsilon0.E0]
alpha:103 [binder, in hydras.Prelude.Comparable]
alpha:103 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:103 [binder, in hydras.Epsilon0.Paths]
alpha:104 [binder, in hydras.Hydra.O2H]
alpha:104 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:104 [binder, in hydras.Epsilon0.Canon]
alpha:104 [binder, in hydras.Schutte.Schutte_basics]
alpha:104 [binder, in hydras.Epsilon0.E0]
alpha:105 [binder, in hydras.Schutte.Schutte_basics]
alpha:105 [binder, in hydras.Epsilon0.E0]
alpha:106 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:106 [binder, in hydras.Epsilon0.Canon]
alpha:107 [binder, in hydras.Schutte.Schutte_basics]
alpha:107 [binder, in hydras.Epsilon0.E0]
alpha:108 [binder, in hydras.Schutte.Schutte_basics]
alpha:108 [binder, in hydras.Epsilon0.E0]
alpha:108 [binder, in hydras.Epsilon0.Paths]
alpha:109 [binder, in hydras.Epsilon0.Hessenberg]
alpha:109 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:109 [binder, in hydras.Epsilon0.Canon]
alpha:109 [binder, in hydras.Schutte.Schutte_basics]
alpha:109 [binder, in hydras.Epsilon0.Paths]
alpha:11 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:11 [binder, in hydras.Gamma0.T2]
alpha:11 [binder, in hydras.Schutte.CNF]
alpha:11 [binder, in hydras.Schutte.Critical]
alpha:11 [binder, in hydras.Schutte.AP]
alpha:11 [binder, in hydras.OrdinalNotations.ON_mult]
alpha:11 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:11 [binder, in hydras.Epsilon0.E0]
alpha:11 [binder, in hydras.Schutte.Addition]
alpha:110 [binder, in hydras.Epsilon0.T1]
alpha:110 [binder, in hydras.Hydra.O2H]
alpha:110 [binder, in hydras.Epsilon0.E0]
alpha:111 [binder, in hydras.Epsilon0.Canon]
alpha:111 [binder, in hydras.Schutte.Schutte_basics]
alpha:111 [binder, in hydras.Epsilon0.E0]
alpha:112 [binder, in hydras.Epsilon0.Hessenberg]
alpha:113 [binder, in hydras.Epsilon0.Canon]
alpha:113 [binder, in hydras.Schutte.Schutte_basics]
alpha:113 [binder, in hydras.Epsilon0.E0]
alpha:113 [binder, in hydras.Epsilon0.Paths]
alpha:114 [binder, in hydras.Epsilon0.F_alpha]
alpha:114 [binder, in hydras.Epsilon0.Canon]
alpha:115 [binder, in hydras.Schutte.Schutte_basics]
alpha:115 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:115 [binder, in hydras.Epsilon0.E0]
alpha:117 [binder, in hydras.Schutte.Schutte_basics]
alpha:117 [binder, in hydras.Epsilon0.E0]
alpha:117 [binder, in hydras.Epsilon0.Hprime]
alpha:118 [binder, in hydras.Epsilon0.E0]
alpha:118 [binder, in hydras.Epsilon0.Paths]
alpha:119 [binder, in hydras.Epsilon0.T1]
alpha:119 [binder, in hydras.Epsilon0.F_alpha]
alpha:119 [binder, in hydras.Schutte.Schutte_basics]
alpha:12 [binder, in hydras.Epsilon0.T1]
alpha:12 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:12 [binder, in hydras.Hydra.O2H]
alpha:12 [binder, in gaia_hydras.GHprime]
alpha:12 [binder, in hydras.Epsilon0.Large_Sets]
alpha:12 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:12 [binder, in hydras.Epsilon0.E0]
alpha:12 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
alpha:12 [binder, in hydras.Schutte.Addition]
alpha:120 [binder, in hydras.Schutte.Schutte_basics]
alpha:120 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:120 [binder, in hydras.Epsilon0.E0]
alpha:121 [binder, in hydras.Epsilon0.T1]
alpha:121 [binder, in hydras.Schutte.Schutte_basics]
alpha:123 [binder, in hydras.Epsilon0.Paths]
alpha:124 [binder, in hydras.Epsilon0.T1]
alpha:124 [binder, in hydras.Epsilon0.Hprime]
alpha:124 [binder, in hydras.Gamma0.Gamma0]
alpha:125 [binder, in hydras.Epsilon0.Large_Sets]
alpha:127 [binder, in hydras.Epsilon0.Large_Sets]
alpha:127 [binder, in hydras.Epsilon0.Paths]
alpha:127 [binder, in hydras.Gamma0.Gamma0]
alpha:128 [binder, in hydras.Epsilon0.Hprime]
alpha:129 [binder, in hydras.Epsilon0.Large_Sets]
alpha:13 [binder, in hydras.solutions_exercises.predSuccUnicity]
alpha:13 [binder, in gaia_hydras.GF_alpha]
alpha:13 [binder, in gaia_hydras.GHprime]
alpha:13 [binder, in hydras.OrdinalNotations.ON_O]
alpha:13 [binder, in hydras.Epsilon0.Hessenberg]
alpha:13 [binder, in hydras.Schutte.CNF]
alpha:13 [binder, in hydras.OrdinalNotations.ON_mult]
alpha:13 [binder, in hydras.OrdinalNotations.ON_plus]
alpha:13 [binder, in gaia_hydras.GL_alpha]
alpha:13 [binder, in hydras.Gamma0.Gamma0]
alpha:130 [binder, in hydras.Gamma0.Gamma0]
alpha:131 [binder, in hydras.Epsilon0.Large_Sets]
alpha:132 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:132 [binder, in hydras.Epsilon0.Paths]
alpha:133 [binder, in hydras.Epsilon0.Large_Sets]
alpha:133 [binder, in hydras.Gamma0.Gamma0]
alpha:135 [binder, in hydras.Epsilon0.Large_Sets]
alpha:136 [binder, in hydras.Schutte.Ordering_Functions]
alpha:137 [binder, in hydras.Epsilon0.Large_Sets]
alpha:137 [binder, in hydras.Schutte.Ordering_Functions]
alpha:139 [binder, in hydras.Epsilon0.Large_Sets]
alpha:139 [binder, in hydras.Epsilon0.Paths]
alpha:14 [binder, in hydras.Schutte.Correctness_E0]
alpha:14 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:14 [binder, in hydras.Schutte.Critical]
alpha:14 [binder, in hydras.Schutte.AP]
alpha:14 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:14 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:14 [binder, in hydras.Epsilon0.E0]
alpha:14 [binder, in hydras.Epsilon0.Paths]
alpha:14 [binder, in hydras.Gamma0.Gamma0]
alpha:141 [binder, in hydras.Epsilon0.T1]
alpha:141 [binder, in hydras.Epsilon0.Large_Sets]
alpha:145 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:145 [binder, in hydras.Epsilon0.Paths]
alpha:146 [binder, in hydras.Epsilon0.T1]
alpha:146 [binder, in hydras.Gamma0.Gamma0]
alpha:147 [binder, in hydras.Schutte.Schutte_basics]
alpha:147 [binder, in hydras.Gamma0.Gamma0]
alpha:149 [binder, in hydras.Schutte.Schutte_basics]
alpha:15 [binder, in hydras.Epsilon0.T1]
alpha:15 [binder, in hydras.Gamma0.T2]
alpha:15 [binder, in hydras.Hydra.O2H]
alpha:15 [binder, in gaia_hydras.GF_alpha]
alpha:15 [binder, in hydras.Schutte.CNF]
alpha:15 [binder, in hydras.Schutte.Critical]
alpha:15 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:15 [binder, in hydras.OrdinalNotations.ON_mult]
alpha:15 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
alpha:15 [binder, in hydras.OrdinalNotations.ON_plus]
alpha:15 [binder, in gaia_hydras.GHydra]
alpha:15 [binder, in hydras.solutions_exercises.F_3]
alpha:15 [binder, in gaia_hydras.GL_alpha]
alpha:15 [binder, in hydras.Gamma0.Gamma0]
alpha:15 [binder, in hydras.Schutte.Addition]
alpha:150 [binder, in hydras.Epsilon0.T1]
alpha:151 [binder, in hydras.Schutte.Schutte_basics]
alpha:151 [binder, in hydras.Epsilon0.Paths]
alpha:151 [binder, in hydras.Gamma0.Gamma0]
alpha:153 [binder, in hydras.Epsilon0.Paths]
alpha:153 [binder, in hydras.Gamma0.Gamma0]
alpha:154 [binder, in hydras.Epsilon0.Large_Sets]
alpha:155 [binder, in hydras.Epsilon0.T1]
alpha:156 [binder, in hydras.Epsilon0.Paths]
alpha:157 [binder, in hydras.Epsilon0.T1]
alpha:157 [binder, in hydras.Epsilon0.Large_Sets]
alpha:157 [binder, in hydras.Epsilon0.Paths]
alpha:157 [binder, in hydras.Gamma0.Gamma0]
alpha:158 [binder, in hydras.Epsilon0.F_alpha]
alpha:159 [binder, in hydras.Epsilon0.Paths]
alpha:16 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:16 [binder, in hydras.solutions_exercises.predSuccUnicity]
alpha:16 [binder, in gaia_hydras.GF_alpha]
alpha:16 [binder, in hydras.OrdinalNotations.ON_O]
alpha:16 [binder, in hydras.Epsilon0.Paths]
alpha:16 [binder, in hydras.Gamma0.Gamma0]
alpha:16 [binder, in hydras.Schutte.Addition]
alpha:160 [binder, in hydras.Epsilon0.F_alpha]
alpha:161 [binder, in hydras.Epsilon0.Paths]
alpha:162 [binder, in hydras.Epsilon0.F_alpha]
alpha:164 [binder, in hydras.Epsilon0.Paths]
alpha:165 [binder, in hydras.Epsilon0.F_alpha]
alpha:167 [binder, in hydras.Epsilon0.F_alpha]
alpha:168 [binder, in hydras.Schutte.Ordering_Functions]
alpha:169 [binder, in hydras.Epsilon0.Large_Sets]
alpha:169 [binder, in hydras.Epsilon0.Paths]
alpha:169 [binder, in hydras.Schutte.Ordering_Functions]
alpha:17 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:17 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:17 [binder, in hydras.OrdinalNotations.ON_plus]
alpha:17 [binder, in gaia_hydras.GHydra]
alpha:17 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:17 [binder, in gaia_hydras.GL_alpha]
alpha:17 [binder, in hydras.Gamma0.Gamma0]
alpha:17 [binder, in hydras.Schutte.Addition]
alpha:170 [binder, in hydras.Epsilon0.F_alpha]
alpha:170 [binder, in gaia_hydras.T1Bridge]
alpha:172 [binder, in gaia_hydras.T1Bridge]
alpha:174 [binder, in hydras.Epsilon0.F_alpha]
alpha:174 [binder, in hydras.Epsilon0.Paths]
alpha:174 [binder, in hydras.Gamma0.Gamma0]
alpha:175 [binder, in hydras.Schutte.Schutte_basics]
alpha:175 [binder, in hydras.Gamma0.Gamma0]
alpha:176 [binder, in hydras.Epsilon0.F_alpha]
alpha:176 [binder, in hydras.Epsilon0.Large_Sets]
alpha:176 [binder, in hydras.Gamma0.Gamma0]
alpha:177 [binder, in hydras.Schutte.Schutte_basics]
alpha:177 [binder, in hydras.Epsilon0.Paths]
alpha:178 [binder, in hydras.Epsilon0.F_alpha]
alpha:178 [binder, in hydras.Schutte.Schutte_basics]
alpha:179 [binder, in hydras.Epsilon0.Large_Sets]
alpha:18 [binder, in hydras.Schutte.Correctness_E0]
alpha:18 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:18 [binder, in hydras.Hydra.O2H]
alpha:18 [binder, in gaia_hydras.GF_alpha]
alpha:18 [binder, in hydras.Schutte.Schutte_basics]
alpha:180 [binder, in hydras.Epsilon0.F_alpha]
alpha:180 [binder, in hydras.Gamma0.Gamma0]
alpha:181 [binder, in hydras.Epsilon0.Large_Sets]
alpha:181 [binder, in hydras.Epsilon0.Paths]
alpha:182 [binder, in hydras.Gamma0.Gamma0]
alpha:183 [binder, in hydras.Epsilon0.Large_Sets]
alpha:185 [binder, in hydras.Epsilon0.Paths]
alpha:186 [binder, in hydras.Epsilon0.Large_Sets]
alpha:186 [binder, in hydras.Epsilon0.Paths]
alpha:188 [binder, in hydras.Epsilon0.Large_Sets]
alpha:188 [binder, in hydras.Schutte.Ordering_Functions]
alpha:188 [binder, in hydras.Gamma0.Gamma0]
alpha:19 [binder, in hydras.OrdinalNotations.ON_O]
alpha:19 [binder, in hydras.Schutte.CNF]
alpha:19 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:19 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
alpha:19 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:19 [binder, in hydras.Epsilon0.Paths]
alpha:190 [binder, in hydras.Gamma0.Gamma0]
alpha:191 [binder, in hydras.Epsilon0.T1]
alpha:191 [binder, in hydras.Schutte.Schutte_basics]
alpha:191 [binder, in hydras.Epsilon0.Paths]
alpha:192 [binder, in hydras.Epsilon0.T1]
alpha:192 [binder, in hydras.Gamma0.Gamma0]
alpha:193 [binder, in hydras.Epsilon0.Large_Sets]
alpha:193 [binder, in hydras.Epsilon0.Paths]
alpha:194 [binder, in hydras.Gamma0.Gamma0]
alpha:195 [binder, in hydras.Epsilon0.Large_Sets]
alpha:196 [binder, in hydras.Epsilon0.Paths]
alpha:196 [binder, in hydras.Gamma0.Gamma0]
alpha:197 [binder, in hydras.Epsilon0.Large_Sets]
alpha:197 [binder, in hydras.Schutte.Schutte_basics]
alpha:198 [binder, in hydras.Gamma0.Gamma0]
alpha:199 [binder, in hydras.Epsilon0.Large_Sets]
alpha:2 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:2 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:2 [binder, in hydras.solutions_exercises.schutte_cnf_counter_example]
alpha:2 [binder, in gaia_hydras.ON_gfinite]
alpha:2 [binder, in hydras.solutions_exercises.F_3]
alpha:2 [binder, in hydras.OrdinalNotations.ON_Omega]
alpha:2 [binder, in hydras.Epsilon0.Paths]
alpha:2 [binder, in hydras.Schutte.Ordering_Functions]
alpha:2 [binder, in hydras.Schutte.Addition]
alpha:20 [binder, in hydras.Gamma0.T2]
alpha:20 [binder, in hydras.Hydra.O2H]
alpha:20 [binder, in hydras.Schutte.CNF]
alpha:20 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
alpha:20 [binder, in gaia_hydras.GHydra]
alpha:20 [binder, in hydras.Epsilon0.E0]
alpha:20 [binder, in hydras.Schutte.Addition]
alpha:200 [binder, in hydras.Epsilon0.Paths]
alpha:200 [binder, in hydras.Gamma0.Gamma0]
alpha:202 [binder, in hydras.Epsilon0.T1]
alpha:202 [binder, in hydras.Gamma0.Gamma0]
alpha:203 [binder, in hydras.Epsilon0.T1]
alpha:203 [binder, in hydras.Epsilon0.Paths]
alpha:204 [binder, in hydras.Gamma0.Gamma0]
alpha:206 [binder, in hydras.Epsilon0.Paths]
alpha:207 [binder, in hydras.Schutte.Schutte_basics]
alpha:207 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:208 [binder, in hydras.Epsilon0.T1]
alpha:209 [binder, in hydras.Schutte.Schutte_basics]
alpha:21 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:21 [binder, in hydras.Gamma0.Gamma0]
alpha:210 [binder, in hydras.Epsilon0.T1]
alpha:210 [binder, in hydras.Schutte.Schutte_basics]
alpha:211 [binder, in hydras.Schutte.Schutte_basics]
alpha:211 [binder, in hydras.Gamma0.Gamma0]
alpha:212 [binder, in hydras.Schutte.Schutte_basics]
alpha:212 [binder, in hydras.Gamma0.Gamma0]
alpha:213 [binder, in hydras.Schutte.Schutte_basics]
alpha:213 [binder, in hydras.Gamma0.Gamma0]
alpha:214 [binder, in hydras.Schutte.Schutte_basics]
alpha:215 [binder, in hydras.Schutte.Schutte_basics]
alpha:22 [binder, in hydras.Schutte.Critical]
alpha:22 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:22 [binder, in hydras.Epsilon0.E0]
alpha:22 [binder, in hydras.Epsilon0.Paths]
alpha:22 [binder, in hydras.Schutte.Addition]
alpha:223 [binder, in hydras.Epsilon0.Paths]
alpha:228 [binder, in hydras.Epsilon0.Paths]
alpha:229 [binder, in hydras.Schutte.Schutte_basics]
alpha:23 [binder, in hydras.Epsilon0.T1]
alpha:23 [binder, in hydras.Hydra.O2H]
alpha:23 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:23 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
alpha:23 [binder, in hydras.Schutte.Schutte_basics]
alpha:231 [binder, in hydras.Epsilon0.Paths]
alpha:232 [binder, in hydras.Schutte.Schutte_basics]
alpha:237 [binder, in hydras.Epsilon0.Paths]
alpha:238 [binder, in hydras.Gamma0.Gamma0]
alpha:24 [binder, in hydras.Gamma0.T2]
alpha:24 [binder, in hydras.Schutte.CNF]
alpha:24 [binder, in hydras.Epsilon0.Large_Sets]
alpha:24 [binder, in hydras.Epsilon0.E0]
alpha:24 [binder, in hydras.Schutte.Addition]
alpha:240 [binder, in hydras.Epsilon0.T1]
alpha:240 [binder, in hydras.Gamma0.Gamma0]
alpha:242 [binder, in hydras.Epsilon0.T1]
alpha:242 [binder, in hydras.Epsilon0.Paths]
alpha:244 [binder, in hydras.Epsilon0.T1]
alpha:245 [binder, in hydras.Epsilon0.Paths]
alpha:247 [binder, in hydras.Epsilon0.Paths]
alpha:248 [binder, in hydras.Epsilon0.Paths]
alpha:25 [binder, in hydras.Hydra.O2H]
alpha:25 [binder, in gaia_hydras.GF_alpha]
alpha:25 [binder, in hydras.Schutte.Critical]
alpha:25 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:25 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:251 [binder, in hydras.Epsilon0.Paths]
alpha:254 [binder, in hydras.Epsilon0.Paths]
alpha:257 [binder, in hydras.Epsilon0.Paths]
alpha:26 [binder, in hydras.Schutte.CNF]
alpha:26 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:26 [binder, in hydras.Epsilon0.Canon]
alpha:26 [binder, in hydras.Epsilon0.E0]
alpha:26 [binder, in hydras.solutions_exercises.F_3]
alpha:261 [binder, in hydras.Epsilon0.Paths]
alpha:264 [binder, in hydras.Epsilon0.Paths]
alpha:265 [binder, in hydras.Epsilon0.Paths]
alpha:268 [binder, in hydras.Epsilon0.Paths]
alpha:27 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:27 [binder, in gaia_hydras.GF_alpha]
alpha:27 [binder, in hydras.Schutte.CNF]
alpha:27 [binder, in hydras.solutions_exercises.F_3]
alpha:27 [binder, in hydras.Schutte.Ordering_Functions]
alpha:27 [binder, in hydras.Schutte.Addition]
alpha:273 [binder, in hydras.Epsilon0.Paths]
alpha:276 [binder, in hydras.Epsilon0.Paths]
alpha:279 [binder, in hydras.Epsilon0.Paths]
alpha:28 [binder, in hydras.Epsilon0.T1]
alpha:28 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:28 [binder, in hydras.Epsilon0.Large_Sets]
alpha:281 [binder, in hydras.Epsilon0.Paths]
alpha:284 [binder, in hydras.Epsilon0.Paths]
alpha:287 [binder, in hydras.Epsilon0.Paths]
alpha:288 [binder, in hydras.Epsilon0.T1]
alpha:29 [binder, in hydras.Epsilon0.Canon]
alpha:29 [binder, in hydras.Epsilon0.E0]
alpha:29 [binder, in hydras.Epsilon0.Paths]
alpha:29 [binder, in hydras.Schutte.Addition]
alpha:290 [binder, in hydras.Epsilon0.T1]
alpha:290 [binder, in hydras.Epsilon0.Paths]
alpha:292 [binder, in hydras.Epsilon0.T1]
alpha:293 [binder, in hydras.Epsilon0.Paths]
alpha:294 [binder, in hydras.Epsilon0.T1]
alpha:296 [binder, in hydras.Epsilon0.T1]
alpha:296 [binder, in hydras.Epsilon0.Paths]
alpha:298 [binder, in hydras.Epsilon0.T1]
alpha:3 [binder, in hydras.Epsilon0.T1]
alpha:3 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:3 [binder, in hydras.Gamma0.T2]
alpha:3 [binder, in hydras.Epsilon0.Large_Sets]
alpha:3 [binder, in hydras.Schutte.Critical]
alpha:3 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:3 [binder, in hydras.Schutte.Schutte_basics]
alpha:30 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:30 [binder, in gaia_hydras.GF_alpha]
alpha:30 [binder, in hydras.Schutte.Critical]
alpha:300 [binder, in hydras.Epsilon0.T1]
alpha:300 [binder, in hydras.Epsilon0.Paths]
alpha:302 [binder, in hydras.Epsilon0.T1]
alpha:304 [binder, in hydras.Epsilon0.T1]
alpha:304 [binder, in hydras.Epsilon0.Paths]
alpha:306 [binder, in hydras.Epsilon0.T1]
alpha:307 [binder, in hydras.Epsilon0.T1]
alpha:307 [binder, in hydras.Epsilon0.Paths]
alpha:308 [binder, in hydras.Epsilon0.T1]
alpha:309 [binder, in hydras.Epsilon0.T1]
alpha:31 [binder, in hydras.Schutte.CNF]
alpha:31 [binder, in hydras.Epsilon0.Large_Sets]
alpha:31 [binder, in hydras.Epsilon0.Canon]
alpha:31 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:31 [binder, in hydras.Epsilon0.E0]
alpha:31 [binder, in hydras.Epsilon0.Paths]
alpha:311 [binder, in hydras.Epsilon0.Paths]
alpha:313 [binder, in hydras.Epsilon0.T1]
alpha:316 [binder, in hydras.Epsilon0.T1]
alpha:316 [binder, in hydras.Epsilon0.Paths]
alpha:318 [binder, in hydras.Epsilon0.T1]
alpha:319 [binder, in hydras.Epsilon0.Paths]
alpha:32 [binder, in hydras.Schutte.Correctness_E0]
alpha:32 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:32 [binder, in gaia_hydras.GF_alpha]
alpha:32 [binder, in hydras.Epsilon0.L_alpha]
alpha:32 [binder, in hydras.Epsilon0.Canon]
alpha:32 [binder, in hydras.Schutte.Schutte_basics]
alpha:32 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:32 [binder, in hydras.Epsilon0.Hprime]
alpha:32 [binder, in hydras.Schutte.Addition]
alpha:321 [binder, in hydras.Epsilon0.T1]
alpha:323 [binder, in hydras.Epsilon0.Paths]
alpha:325 [binder, in hydras.Epsilon0.Paths]
alpha:327 [binder, in hydras.Epsilon0.T1]
alpha:33 [binder, in gaia_hydras.GF_alpha]
alpha:33 [binder, in hydras.Epsilon0.Large_Sets]
alpha:33 [binder, in hydras.Epsilon0.E0]
alpha:330 [binder, in hydras.Epsilon0.Paths]
alpha:332 [binder, in hydras.Epsilon0.T1]
alpha:332 [binder, in hydras.Epsilon0.Paths]
alpha:334 [binder, in hydras.Epsilon0.Paths]
alpha:336 [binder, in hydras.Epsilon0.T1]
alpha:337 [binder, in hydras.Epsilon0.T1]
alpha:339 [binder, in hydras.Epsilon0.Paths]
alpha:34 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:34 [binder, in hydras.Epsilon0.L_alpha]
alpha:34 [binder, in hydras.Schutte.Schutte_basics]
alpha:34 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:34 [binder, in hydras.Epsilon0.Hprime]
alpha:34 [binder, in hydras.Epsilon0.Paths]
alpha:340 [binder, in hydras.Epsilon0.T1]
alpha:343 [binder, in hydras.Epsilon0.T1]
alpha:343 [binder, in hydras.Epsilon0.Paths]
alpha:347 [binder, in hydras.Epsilon0.Paths]
alpha:349 [binder, in hydras.Epsilon0.T1]
alpha:35 [binder, in hydras.Schutte.Critical]
alpha:35 [binder, in hydras.Epsilon0.E0]
alpha:35 [binder, in hydras.Schutte.Ordering_Functions]
alpha:35 [binder, in hydras.Schutte.Addition]
alpha:351 [binder, in hydras.Epsilon0.Paths]
alpha:352 [binder, in hydras.Epsilon0.T1]
alpha:356 [binder, in hydras.Epsilon0.Paths]
alpha:357 [binder, in hydras.Epsilon0.Paths]
alpha:36 [binder, in hydras.Epsilon0.T1]
alpha:36 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:36 [binder, in hydras.Schutte.CNF]
alpha:36 [binder, in hydras.Epsilon0.Large_Sets]
alpha:36 [binder, in hydras.Epsilon0.L_alpha]
alpha:36 [binder, in hydras.Epsilon0.Hprime]
alpha:36 [binder, in hydras.Schutte.Addition]
alpha:362 [binder, in hydras.Epsilon0.Paths]
alpha:364 [binder, in hydras.Epsilon0.Paths]
alpha:37 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:37 [binder, in hydras.Epsilon0.E0]
alpha:37 [binder, in hydras.Epsilon0.Paths]
alpha:377 [binder, in hydras.Epsilon0.Paths]
alpha:38 [binder, in hydras.Epsilon0.T1]
alpha:38 [binder, in hydras.Schutte.Addition]
alpha:383 [binder, in hydras.Epsilon0.Paths]
alpha:388 [binder, in hydras.Epsilon0.Paths]
alpha:39 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:39 [binder, in hydras.Epsilon0.Large_Sets]
alpha:39 [binder, in hydras.Schutte.Critical]
alpha:39 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:39 [binder, in hydras.Epsilon0.F_omega]
alpha:39 [binder, in hydras.Epsilon0.E0]
alpha:393 [binder, in hydras.Epsilon0.T1]
alpha:395 [binder, in hydras.Epsilon0.Paths]
alpha:397 [binder, in hydras.Epsilon0.T1]
alpha:398 [binder, in hydras.Epsilon0.T1]
alpha:399 [binder, in hydras.Epsilon0.Paths]
alpha:4 [binder, in gaia_hydras.GHprime]
alpha:4 [binder, in hydras.Epsilon0.Large_Sets_Examples]
alpha:4 [binder, in hydras.Hydra.Hydra_Theorems]
alpha:4 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:4 [binder, in hydras.Epsilon0.E0]
alpha:4 [binder, in gaia_hydras.GL_alpha]
alpha:4 [binder, in gaia_hydras.T2Bridge]
alpha:4 [binder, in gaia_hydras.GHessenberg]
alpha:40 [binder, in hydras.Epsilon0.T1]
alpha:40 [binder, in hydras.Epsilon0.F_alpha]
alpha:40 [binder, in hydras.Epsilon0.F_omega]
alpha:40 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:40 [binder, in hydras.Epsilon0.E0]
alpha:40 [binder, in hydras.Epsilon0.Paths]
alpha:403 [binder, in hydras.Epsilon0.Paths]
alpha:405 [binder, in hydras.Epsilon0.T1]
alpha:406 [binder, in hydras.Epsilon0.T1]
alpha:407 [binder, in hydras.Epsilon0.Paths]
alpha:409 [binder, in hydras.Epsilon0.T1]
alpha:41 [binder, in hydras.Schutte.Correctness_E0]
alpha:41 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:41 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:41 [binder, in hydras.Epsilon0.L_alpha]
alpha:41 [binder, in hydras.Epsilon0.E0]
alpha:41 [binder, in hydras.Epsilon0.Hprime]
alpha:413 [binder, in hydras.Epsilon0.T1]
alpha:413 [binder, in hydras.Epsilon0.Paths]
alpha:418 [binder, in hydras.Epsilon0.T1]
alpha:419 [binder, in hydras.Epsilon0.T1]
alpha:419 [binder, in hydras.Epsilon0.Paths]
alpha:42 [binder, in hydras.Epsilon0.T1]
alpha:42 [binder, in hydras.Schutte.Correctness_E0]
alpha:42 [binder, in hydras.Epsilon0.F_alpha]
alpha:42 [binder, in hydras.Schutte.CNF]
alpha:42 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:42 [binder, in hydras.Epsilon0.Canon]
alpha:42 [binder, in hydras.Epsilon0.E0]
alpha:42 [binder, in hydras.Schutte.Addition]
alpha:420 [binder, in hydras.Epsilon0.T1]
alpha:423 [binder, in hydras.Epsilon0.Paths]
alpha:427 [binder, in hydras.Epsilon0.Paths]
alpha:43 [binder, in hydras.Schutte.Critical]
alpha:43 [binder, in hydras.Epsilon0.L_alpha]
alpha:43 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:431 [binder, in hydras.Epsilon0.Paths]
alpha:433 [binder, in hydras.Epsilon0.Paths]
alpha:437 [binder, in hydras.Epsilon0.Paths]
alpha:44 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:44 [binder, in hydras.Epsilon0.F_alpha]
alpha:44 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:44 [binder, in hydras.Epsilon0.Canon]
alpha:44 [binder, in hydras.Epsilon0.E0]
alpha:44 [binder, in hydras.Epsilon0.Paths]
alpha:443 [binder, in hydras.Epsilon0.Paths]
alpha:448 [binder, in hydras.Epsilon0.Paths]
alpha:45 [binder, in hydras.Epsilon0.T1]
alpha:45 [binder, in hydras.Epsilon0.Large_Sets]
alpha:45 [binder, in hydras.Schutte.Critical]
alpha:452 [binder, in hydras.Epsilon0.Paths]
alpha:453 [binder, in hydras.Gamma0.Gamma0]
alpha:454 [binder, in hydras.Epsilon0.Paths]
alpha:456 [binder, in hydras.Epsilon0.T1]
alpha:459 [binder, in hydras.Epsilon0.Paths]
alpha:46 [binder, in hydras.Schutte.Correctness_E0]
alpha:46 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:46 [binder, in hydras.Schutte.CNF]
alpha:46 [binder, in hydras.Schutte.AP]
alpha:46 [binder, in hydras.Epsilon0.E0]
alpha:460 [binder, in hydras.Gamma0.Gamma0]
alpha:462 [binder, in hydras.Epsilon0.Paths]
alpha:464 [binder, in hydras.Gamma0.Gamma0]
alpha:466 [binder, in hydras.Epsilon0.T1]
alpha:466 [binder, in hydras.Gamma0.Gamma0]
alpha:47 [binder, in hydras.Epsilon0.F_alpha]
alpha:47 [binder, in hydras.Schutte.AP]
alpha:47 [binder, in hydras.Epsilon0.L_alpha]
alpha:47 [binder, in hydras.Epsilon0.Canon]
alpha:47 [binder, in hydras.Epsilon0.E0]
alpha:470 [binder, in hydras.Epsilon0.Paths]
alpha:472 [binder, in hydras.Epsilon0.T1]
alpha:473 [binder, in hydras.Epsilon0.Paths]
alpha:474 [binder, in hydras.Epsilon0.T1]
alpha:475 [binder, in hydras.Epsilon0.Paths]
alpha:479 [binder, in hydras.Epsilon0.Paths]
alpha:48 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:48 [binder, in hydras.Schutte.CNF]
alpha:48 [binder, in hydras.Epsilon0.Large_Sets]
alpha:48 [binder, in hydras.Schutte.Critical]
alpha:48 [binder, in hydras.Epsilon0.Canon]
alpha:480 [binder, in hydras.Epsilon0.T1]
alpha:481 [binder, in hydras.Gamma0.Gamma0]
alpha:482 [binder, in hydras.Epsilon0.T1]
alpha:482 [binder, in hydras.Epsilon0.Paths]
alpha:484 [binder, in hydras.Epsilon0.T1]
alpha:486 [binder, in hydras.Epsilon0.T1]
alpha:486 [binder, in hydras.Epsilon0.Paths]
alpha:49 [binder, in hydras.Hydra.O2H]
alpha:49 [binder, in hydras.Epsilon0.F_alpha]
alpha:49 [binder, in hydras.Schutte.AP]
alpha:49 [binder, in hydras.Epsilon0.L_alpha]
alpha:49 [binder, in hydras.Epsilon0.E0]
alpha:49 [binder, in hydras.Epsilon0.Paths]
alpha:490 [binder, in hydras.Epsilon0.T1]
alpha:490 [binder, in hydras.Epsilon0.Paths]
alpha:492 [binder, in hydras.Gamma0.Gamma0]
alpha:494 [binder, in hydras.Epsilon0.Paths]
alpha:494 [binder, in hydras.Gamma0.Gamma0]
alpha:498 [binder, in hydras.Epsilon0.T1]
alpha:498 [binder, in hydras.Epsilon0.Paths]
alpha:499 [binder, in hydras.Gamma0.Gamma0]
alpha:5 [binder, in hydras.Gamma0.T2]
alpha:5 [binder, in gaia_hydras.GF_alpha]
alpha:5 [binder, in hydras.Schutte.CNF]
alpha:5 [binder, in hydras.Hydra.Battle_length]
alpha:5 [binder, in gaia_hydras.ON_gfinite]
alpha:50 [binder, in hydras.Hydra.O2H]
alpha:50 [binder, in hydras.Epsilon0.Canon]
alpha:50 [binder, in hydras.Epsilon0.E0]
alpha:502 [binder, in hydras.Epsilon0.Paths]
alpha:503 [binder, in hydras.Gamma0.Gamma0]
alpha:505 [binder, in hydras.Epsilon0.Paths]
alpha:507 [binder, in hydras.Gamma0.Gamma0]
alpha:51 [binder, in hydras.Schutte.CNF]
alpha:51 [binder, in hydras.Schutte.Critical]
alpha:51 [binder, in hydras.Schutte.AP]
alpha:51 [binder, in hydras.Schutte.Ordering_Functions]
alpha:510 [binder, in hydras.Epsilon0.Paths]
alpha:511 [binder, in hydras.Gamma0.Gamma0]
alpha:514 [binder, in hydras.Gamma0.Gamma0]
alpha:516 [binder, in hydras.Epsilon0.T1]
alpha:516 [binder, in hydras.Epsilon0.Paths]
alpha:517 [binder, in hydras.Gamma0.Gamma0]
alpha:52 [binder, in hydras.Epsilon0.F_alpha]
alpha:52 [binder, in hydras.Schutte.Critical]
alpha:52 [binder, in hydras.Epsilon0.Canon]
alpha:52 [binder, in hydras.Epsilon0.E0]
alpha:523 [binder, in hydras.Epsilon0.Paths]
alpha:524 [binder, in hydras.Epsilon0.T1]
alpha:525 [binder, in hydras.Epsilon0.T1]
alpha:526 [binder, in hydras.Epsilon0.Paths]
alpha:529 [binder, in hydras.Epsilon0.Paths]
alpha:53 [binder, in hydras.Schutte.Critical]
alpha:53 [binder, in hydras.Schutte.AP]
alpha:53 [binder, in hydras.Schutte.Addition]
alpha:532 [binder, in hydras.Epsilon0.Paths]
alpha:536 [binder, in hydras.Gamma0.Gamma0]
alpha:537 [binder, in hydras.Gamma0.Gamma0]
alpha:54 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:54 [binder, in hydras.Schutte.CNF]
alpha:54 [binder, in hydras.Epsilon0.Canon]
alpha:54 [binder, in hydras.Epsilon0.E0]
alpha:541 [binder, in hydras.Epsilon0.T1]
alpha:542 [binder, in hydras.Epsilon0.T1]
alpha:544 [binder, in hydras.Epsilon0.T1]
alpha:547 [binder, in hydras.Epsilon0.T1]
alpha:547 [binder, in hydras.Gamma0.Gamma0]
alpha:548 [binder, in hydras.Epsilon0.Paths]
alpha:549 [binder, in hydras.Epsilon0.T1]
alpha:55 [binder, in hydras.Epsilon0.Hessenberg]
alpha:55 [binder, in hydras.Schutte.AP]
alpha:55 [binder, in hydras.Epsilon0.Hprime]
alpha:55 [binder, in hydras.Epsilon0.Paths]
alpha:55 [binder, in hydras.Schutte.Addition]
alpha:550 [binder, in hydras.Gamma0.Gamma0]
alpha:551 [binder, in hydras.Epsilon0.T1]
alpha:552 [binder, in hydras.Epsilon0.Paths]
alpha:553 [binder, in hydras.Gamma0.Gamma0]
alpha:556 [binder, in hydras.Epsilon0.Paths]
alpha:558 [binder, in hydras.Epsilon0.T1]
alpha:56 [binder, in hydras.Epsilon0.F_alpha]
alpha:56 [binder, in hydras.Schutte.CNF]
alpha:56 [binder, in hydras.Epsilon0.Canon]
alpha:56 [binder, in hydras.Epsilon0.E0]
alpha:56 [binder, in hydras.Schutte.Addition]
alpha:561 [binder, in hydras.Epsilon0.Paths]
alpha:562 [binder, in hydras.Gamma0.Gamma0]
alpha:564 [binder, in hydras.Epsilon0.Paths]
alpha:568 [binder, in hydras.Epsilon0.T1]
alpha:569 [binder, in hydras.Epsilon0.Paths]
alpha:57 [binder, in hydras.Epsilon0.Hessenberg]
alpha:57 [binder, in hydras.Schutte.AP]
alpha:57 [binder, in hydras.Epsilon0.L_alpha]
alpha:57 [binder, in hydras.Epsilon0.E0]
alpha:573 [binder, in hydras.Epsilon0.Paths]
alpha:575 [binder, in hydras.Gamma0.Gamma0]
alpha:576 [binder, in hydras.Epsilon0.Paths]
alpha:576 [binder, in hydras.Gamma0.Gamma0]
alpha:58 [binder, in hydras.Epsilon0.F_alpha]
alpha:58 [binder, in hydras.Schutte.CNF]
alpha:58 [binder, in hydras.Epsilon0.L_alpha]
alpha:58 [binder, in hydras.Epsilon0.Paths]
alpha:581 [binder, in hydras.Gamma0.Gamma0]
alpha:582 [binder, in hydras.Epsilon0.T1]
alpha:582 [binder, in hydras.Epsilon0.Paths]
alpha:585 [binder, in hydras.Epsilon0.T1]
alpha:586 [binder, in hydras.Epsilon0.Paths]
alpha:589 [binder, in hydras.Epsilon0.Paths]
alpha:59 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:59 [binder, in hydras.Schutte.AP]
alpha:59 [binder, in hydras.Epsilon0.L_alpha]
alpha:59 [binder, in hydras.Epsilon0.E0]
alpha:59 [binder, in hydras.Schutte.Addition]
alpha:6 [binder, in hydras.Schutte.Correctness_E0]
alpha:6 [binder, in gaia_hydras.GHprime]
alpha:6 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:6 [binder, in hydras.Epsilon0.E0]
alpha:6 [binder, in gaia_hydras.GL_alpha]
alpha:6 [binder, in hydras.Schutte.Addition]
alpha:60 [binder, in hydras.Schutte.AP]
alpha:60 [binder, in hydras.Epsilon0.E0]
alpha:60 [binder, in hydras.Epsilon0.Hprime]
alpha:600 [binder, in hydras.Gamma0.Gamma0]
alpha:602 [binder, in hydras.Gamma0.Gamma0]
alpha:603 [binder, in hydras.Gamma0.Gamma0]
alpha:61 [binder, in hydras.Hydra.O2H]
alpha:61 [binder, in hydras.Epsilon0.Hessenberg]
alpha:61 [binder, in hydras.Schutte.CNF]
alpha:61 [binder, in hydras.Schutte.Schutte_basics]
alpha:62 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:62 [binder, in hydras.Epsilon0.E0]
alpha:62 [binder, in hydras.Epsilon0.Paths]
alpha:621 [binder, in hydras.Gamma0.Gamma0]
alpha:623 [binder, in hydras.Gamma0.Gamma0]
alpha:625 [binder, in hydras.Gamma0.Gamma0]
alpha:629 [binder, in hydras.Gamma0.Gamma0]
alpha:63 [binder, in hydras.Schutte.Correctness_E0]
alpha:63 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:63 [binder, in hydras.Epsilon0.F_alpha]
alpha:63 [binder, in hydras.Epsilon0.Hessenberg]
alpha:63 [binder, in hydras.Schutte.AP]
alpha:633 [binder, in hydras.Epsilon0.T1]
alpha:635 [binder, in hydras.Epsilon0.T1]
alpha:638 [binder, in hydras.Epsilon0.T1]
alpha:64 [binder, in hydras.Epsilon0.F_alpha]
alpha:64 [binder, in hydras.Schutte.AP]
alpha:64 [binder, in hydras.Schutte.Addition]
alpha:640 [binder, in hydras.Epsilon0.T1]
alpha:640 [binder, in hydras.Gamma0.Gamma0]
alpha:642 [binder, in hydras.Epsilon0.T1]
alpha:644 [binder, in hydras.Gamma0.Gamma0]
alpha:645 [binder, in hydras.Gamma0.Gamma0]
alpha:646 [binder, in hydras.Epsilon0.T1]
alpha:646 [binder, in hydras.Gamma0.Gamma0]
alpha:647 [binder, in hydras.Epsilon0.T1]
alpha:649 [binder, in hydras.Epsilon0.T1]
alpha:65 [binder, in hydras.Schutte.Correctness_E0]
alpha:65 [binder, in hydras.Epsilon0.E0]
alpha:65 [binder, in hydras.Epsilon0.Hprime]
alpha:650 [binder, in hydras.Epsilon0.T1]
alpha:652 [binder, in hydras.Epsilon0.T1]
alpha:654 [binder, in hydras.Epsilon0.T1]
alpha:655 [binder, in hydras.Epsilon0.T1]
alpha:656 [binder, in hydras.Epsilon0.T1]
alpha:657 [binder, in hydras.Epsilon0.T1]
alpha:66 [binder, in hydras.Schutte.AP]
alpha:66 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:66 [binder, in hydras.Epsilon0.E0]
alpha:660 [binder, in hydras.Epsilon0.T1]
alpha:661 [binder, in hydras.Epsilon0.T1]
alpha:664 [binder, in hydras.Epsilon0.T1]
alpha:667 [binder, in hydras.Epsilon0.T1]
alpha:669 [binder, in hydras.Epsilon0.T1]
alpha:67 [binder, in hydras.Schutte.Correctness_E0]
alpha:67 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:67 [binder, in hydras.Epsilon0.E0]
alpha:67 [binder, in hydras.Schutte.Addition]
alpha:671 [binder, in hydras.Epsilon0.T1]
alpha:673 [binder, in hydras.Epsilon0.T1]
alpha:677 [binder, in hydras.Epsilon0.T1]
alpha:68 [binder, in hydras.Epsilon0.Hessenberg]
alpha:68 [binder, in hydras.Epsilon0.E0]
alpha:68 [binder, in hydras.Epsilon0.Hprime]
alpha:681 [binder, in hydras.Epsilon0.T1]
alpha:683 [binder, in hydras.Epsilon0.T1]
alpha:688 [binder, in hydras.Epsilon0.T1]
alpha:69 [binder, in hydras.Epsilon0.Epsilon0rpo]
alpha:69 [binder, in hydras.Schutte.AP]
alpha:69 [binder, in hydras.Epsilon0.E0]
alpha:692 [binder, in hydras.Epsilon0.T1]
alpha:694 [binder, in hydras.Gamma0.Gamma0]
alpha:7 [binder, in hydras.Schutte.Correctness_E0]
alpha:7 [binder, in gaia_hydras.T1Choice]
alpha:7 [binder, in hydras.Hydra.O2H]
alpha:7 [binder, in gaia_hydras.GF_alpha]
alpha:7 [binder, in hydras.Schutte.CNF]
alpha:7 [binder, in hydras.Schutte.AP]
alpha:7 [binder, in hydras.Hydra.Battle_length]
alpha:7 [binder, in hydras.Epsilon0.E0]
alpha:7 [binder, in hydras.Epsilon0.Paths]
alpha:7 [binder, in gaia_hydras.GHessenberg]
alpha:70 [binder, in hydras.Epsilon0.T1]
alpha:70 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:70 [binder, in hydras.Epsilon0.Hessenberg]
alpha:70 [binder, in hydras.Schutte.AP]
alpha:70 [binder, in hydras.Epsilon0.Paths]
alpha:700 [binder, in hydras.Epsilon0.T1]
alpha:700 [binder, in hydras.Gamma0.Gamma0]
alpha:702 [binder, in hydras.Gamma0.Gamma0]
alpha:704 [binder, in hydras.Epsilon0.T1]
alpha:704 [binder, in hydras.Gamma0.Gamma0]
alpha:705 [binder, in hydras.Epsilon0.T1]
alpha:709 [binder, in hydras.Epsilon0.T1]
alpha:71 [binder, in hydras.Schutte.Correctness_E0]
alpha:71 [binder, in hydras.Epsilon0.E0]
alpha:710 [binder, in hydras.Gamma0.Gamma0]
alpha:713 [binder, in hydras.Epsilon0.T1]
alpha:713 [binder, in hydras.Gamma0.Gamma0]
alpha:715 [binder, in hydras.Gamma0.Gamma0]
alpha:716 [binder, in hydras.Epsilon0.T1]
alpha:719 [binder, in hydras.Epsilon0.T1]
alpha:72 [binder, in hydras.Schutte.AP]
alpha:72 [binder, in hydras.Epsilon0.Paths]
alpha:72 [binder, in hydras.Schutte.Addition]
alpha:73 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:73 [binder, in hydras.Schutte.AP]
alpha:73 [binder, in hydras.Epsilon0.E0]
alpha:74 [binder, in hydras.Schutte.Correctness_E0]
alpha:74 [binder, in hydras.Schutte.AP]
alpha:74 [binder, in hydras.Epsilon0.Paths]
alpha:740 [binder, in hydras.Epsilon0.T1]
alpha:75 [binder, in hydras.Epsilon0.E0]
alpha:76 [binder, in hydras.Epsilon0.Hessenberg]
alpha:76 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:77 [binder, in hydras.Schutte.Correctness_E0]
alpha:77 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:77 [binder, in hydras.Epsilon0.Canon]
alpha:77 [binder, in hydras.Epsilon0.E0]
alpha:78 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:78 [binder, in hydras.Epsilon0.E0]
alpha:8 [binder, in hydras.Hydra.O2H]
alpha:8 [binder, in gaia_hydras.GF_alpha]
alpha:8 [binder, in hydras.Schutte.AP]
alpha:8 [binder, in gaia_hydras.ON_gfinite]
alpha:8 [binder, in hydras.Epsilon0.Canon]
alpha:8 [binder, in hydras.Schutte.Schutte_basics]
alpha:8 [binder, in hydras.OrdinalNotations.ON_Finite]
alpha:8 [binder, in hydras.Epsilon0.E0]
alpha:8 [binder, in gaia_hydras.GL_alpha]
alpha:80 [binder, in hydras.Epsilon0.Hessenberg]
alpha:80 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:80 [binder, in hydras.Epsilon0.Canon]
alpha:80 [binder, in hydras.Epsilon0.E0]
alpha:81 [binder, in hydras.Schutte.Critical]
alpha:82 [binder, in hydras.Schutte.Critical]
alpha:82 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:82 [binder, in hydras.Epsilon0.Paths]
alpha:83 [binder, in hydras.Schutte.Critical]
alpha:83 [binder, in hydras.Epsilon0.Canon]
alpha:83 [binder, in hydras.Epsilon0.E0]
alpha:83 [binder, in hydras.Schutte.Ordering_Functions]
alpha:84 [binder, in hydras.Hydra.O2H]
alpha:84 [binder, in hydras.Schutte.Critical]
alpha:84 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:84 [binder, in hydras.Epsilon0.Paths]
alpha:85 [binder, in hydras.Schutte.Critical]
alpha:85 [binder, in hydras.Epsilon0.Canon]
alpha:85 [binder, in hydras.Schutte.Schutte_basics]
alpha:86 [binder, in hydras.Gamma0.T2]
alpha:86 [binder, in hydras.Epsilon0.E0]
alpha:86 [binder, in hydras.Epsilon0.Paths]
alpha:87 [binder, in hydras.Epsilon0.F_alpha]
alpha:87 [binder, in hydras.Schutte.Schutte_basics]
alpha:88 [binder, in hydras.Hydra.O2H]
alpha:88 [binder, in hydras.Epsilon0.F_alpha]
alpha:89 [binder, in hydras.Epsilon0.F_alpha]
alpha:89 [binder, in hydras.Epsilon0.E0]
alpha:89 [binder, in hydras.Epsilon0.Paths]
alpha:9 [binder, in hydras.Epsilon0.T1]
alpha:9 [binder, in hydras.OrdinalNotations.ON_Omega2]
alpha:9 [binder, in gaia_hydras.GF_alpha]
alpha:9 [binder, in hydras.OrdinalNotations.ON_O]
alpha:9 [binder, in hydras.Schutte.CNF]
alpha:9 [binder, in hydras.Epsilon0.Large_Sets]
alpha:9 [binder, in hydras.Schutte.Critical]
alpha:9 [binder, in hydras.OrdinalNotations.ON_mult]
alpha:9 [binder, in hydras.OrdinalNotations.ON_plus]
alpha:9 [binder, in hydras.Schutte.Schutte_basics]
alpha:9 [binder, in hydras.Epsilon0.E0]
alpha:9 [binder, in hydras.Schutte.Addition]
alpha:90 [binder, in hydras.OrdinalNotations.ON_Generic]
alpha:91 [binder, in hydras.Epsilon0.T1]
alpha:91 [binder, in hydras.Epsilon0.F_alpha]
alpha:92 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:92 [binder, in hydras.Epsilon0.Canon]
alpha:92 [binder, in hydras.Epsilon0.E0]
alpha:92 [binder, in hydras.Epsilon0.Hprime]
alpha:93 [binder, in hydras.Epsilon0.F_alpha]
alpha:94 [binder, in hydras.Epsilon0.F_alpha]
alpha:94 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:94 [binder, in hydras.Schutte.Schutte_basics]
alpha:94 [binder, in hydras.Epsilon0.Paths]
alpha:95 [binder, in hydras.Epsilon0.F_alpha]
alpha:95 [binder, in hydras.Epsilon0.E0]
alpha:95 [binder, in hydras.Epsilon0.Hprime]
alpha:96 [binder, in hydras.Gamma0.T2]
alpha:96 [binder, in hydras.Epsilon0.Hessenberg]
alpha:96 [binder, in hydras.Epsilon0.Paths]
alpha:96 [binder, in hydras.Gamma0.Gamma0]
alpha:97 [binder, in hydras.Epsilon0.T1]
alpha:97 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:97 [binder, in hydras.Epsilon0.Paths]
alpha:98 [binder, in hydras.OrdinalNotations.OmegaOmega]
alpha:98 [binder, in hydras.Epsilon0.Canon]
alpha:98 [binder, in hydras.Epsilon0.E0]
alpha:99 [binder, in hydras.Gamma0.T2]
alpha:99 [binder, in hydras.Prelude.Comparable]
Alt [module, in hydras.Epsilon0.Epsilon0rpo]
Alt [module, in hydras.MoreAck.Ack]
Alt [module, in additions.Demo]
Alt [module, in hydras.MoreAck.PrimRecExamples]
Alt [module, in hydras.Hydra.Hydra_Definitions]
alt_double_ok [lemma, in additions.Demo]
Alt.Ack [definition, in hydras.MoreAck.Ack]
Alt.addIsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt.addIsPR' [instance, in hydras.MoreAck.PrimRecExamples]
Alt.add' [definition, in hydras.MoreAck.PrimRecExamples]
Alt.add'_ok [lemma, in hydras.MoreAck.PrimRecExamples]
Alt.compose_01 [lemma, in hydras.MoreAck.PrimRecExamples]
Alt.const0_NIsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt.double [definition, in additions.Demo]
Alt.Eps0_rpo [module, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_alg [module, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec_transitive [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec_antisym [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec_dec [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.status [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.Mul [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.Lex [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.status_type [inductive, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.A [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec [module, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.arity [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.Free [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.C [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.AC [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.arity_type [inductive, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.eq_symbol_dec [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.symb [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.ord_cons [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.ord_zero [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.nat_S [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.nat_0 [constructor, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.symb0 [inductive, in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig [module, in hydras.Epsilon0.Epsilon0rpo]
Alt.hnode [constructor, in hydras.Hydra.Hydra_Definitions]
Alt.Hydra [inductive, in hydras.Hydra.Hydra_Definitions]
Alt.lt_inc_rpo_0 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.lt_subterm2 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.lt_subterm1 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_2_term_mono [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_lt_cons [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_2_term [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.nf_Acc [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.nf_Wf [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.pi2_5IsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt.predIsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt.rpo_trans [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.R_inc_rpo [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.R1 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.R2 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.R3 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.R4 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.succIsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt.transfinite_recursor [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.transfinite_recursor_lt [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size3 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size2 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size1 [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_2_term [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars [module, in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars.empty_set [inductive, in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars.eq_variable_dec [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars.var [definition, in hydras.Epsilon0.Epsilon0rpo]
Alt.well_founded.R [variable, in hydras.Epsilon0.Epsilon0rpo]
Alt.well_founded [section, in hydras.Epsilon0.Epsilon0rpo]
Alt.well_founded_rpo [lemma, in hydras.Epsilon0.Epsilon0rpo]
Alt.xpred [definition, in hydras.MoreAck.PrimRecExamples]
Alt.zeroIsPR [instance, in hydras.MoreAck.PrimRecExamples]
Alt2 [module, in hydras.MoreAck.Ack]
Alt2.Ack [definition, in hydras.MoreAck.Ack]
Alt2.test1 [definition, in hydras.MoreAck.Ack]
Alt2.test2 [definition, in hydras.MoreAck.Ack]
Alt3 [module, in hydras.MoreAck.Ack]
Alt3.ack [definition, in hydras.MoreAck.Ack]
AM [library]
AM_power_Ok [lemma, in additions.AM]
AM_power [definition, in additions.AM]
AM:105 [binder, in additions.Pow]
AM:96 [binder, in additions.Pow_variant]
andE1 [lemma, in hydras.Ackermann.LNN]
andE1 [lemma, in hydras.Ackermann.LNT]
andE1 [lemma, in hydras.Ackermann.folLogic]
andE2 [lemma, in hydras.Ackermann.LNN]
andE2 [lemma, in hydras.Ackermann.LNT]
andE2 [lemma, in hydras.Ackermann.folLogic]
andH [definition, in hydras.Ackermann.fol]
andI [lemma, in hydras.Ackermann.LNN]
andI [lemma, in hydras.Ackermann.LNT]
andI [lemma, in hydras.Ackermann.folLogic]
andRel [definition, in hydras.Ackermann.primRec]
andRelPR [lemma, in hydras.Ackermann.primRec]
andSym [lemma, in hydras.Ackermann.LNN]
andSym [lemma, in hydras.Ackermann.LNT]
andSym [lemma, in hydras.Ackermann.folLogic]
anonymous0:360 [binder, in additions.Euclidean_Chains]
anonymous0:366 [binder, in additions.Euclidean_Chains]
anonymous0:372 [binder, in additions.Euclidean_Chains]
anonymous0:379 [binder, in additions.Euclidean_Chains]
anonymous:359 [binder, in additions.Euclidean_Chains]
anonymous:365 [binder, in additions.Euclidean_Chains]
anonymous:371 [binder, in additions.Euclidean_Chains]
anonymous:378 [binder, in additions.Euclidean_Chains]
anonymous:386 [binder, in additions.Euclidean_Chains]
anonymous:392 [binder, in additions.Euclidean_Chains]
anonymous:399 [binder, in additions.Euclidean_Chains]
answer [inductive, in hydras.Epsilon0.Large_Sets_Examples]
any_chain_parametric [definition, in additions.Addition_Chains]
ap [inductive, in hydras.Epsilon0.T1]
ap [definition, in hydras.OrdinalNotations.ON_Omega2]
ap [inductive, in hydras.Gamma0.T2]
AP [definition, in hydras.Schutte.AP]
AP [library]
apply [constructor, in hydras.Ackermann.fol]
approx [definition, in hydras.Epsilon0.Canon]
approx_ok [lemma, in hydras.Epsilon0.Canon]
ap_plusR [lemma, in hydras.Epsilon0.T1]
ap_plus [lemma, in hydras.Epsilon0.T1]
ap_intro [constructor, in hydras.Epsilon0.T1]
ap_cases [lemma, in hydras.OrdinalNotations.ON_Omega2]
ap_intro [constructor, in hydras.Gamma0.T2]
AP_plus_AP [lemma, in hydras.Schutte.AP]
AP_to_phi0 [lemma, in hydras.Schutte.AP]
AP_phi0 [lemma, in hydras.Schutte.AP]
AP_o_segment [lemma, in hydras.Schutte.AP]
AP_closed [lemma, in hydras.Schutte.AP]
AP_sup [lemma, in hydras.Schutte.AP]
AP_closed.denM [variable, in hydras.Schutte.AP]
AP_closed.inhM [variable, in hydras.Schutte.AP]
AP_closed.OM [variable, in hydras.Schutte.AP]
AP_closed.M [variable, in hydras.Schutte.AP]
AP_closed [section, in hydras.Schutte.AP]
AP_unbounded [lemma, in hydras.Schutte.AP]
AP_unbounded_0 [lemma, in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.n [variable, in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.lt_ksi [variable, in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.ksi [variable, in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed [section, in hydras.Schutte.AP]
AP_Unbounded.beta [variable, in hydras.Schutte.AP]
AP_Unbounded.seq [variable, in hydras.Schutte.AP]
AP_Unbounded.alpha [variable, in hydras.Schutte.AP]
AP_Unbounded [section, in hydras.Schutte.AP]
AP_mult_fin_r_closed [lemma, in hydras.Schutte.AP]
AP_mult_Sn_closed [lemma, in hydras.Schutte.AP]
AP_plus_closed [lemma, in hydras.Schutte.AP]
AP_finite_eq_one [lemma, in hydras.Schutte.AP]
AP_omega [lemma, in hydras.Schutte.AP]
AP_one [lemma, in hydras.Schutte.AP]
ap_ref [lemma, in gaia_hydras.T1Bridge]
Arith_lemmas [section, in hydras.Prelude.More_Arith]
arityF [projection, in hydras.Ackermann.fol]
arityR [projection, in hydras.Ackermann.fol]
assoc [projection, in hydras.Prelude.STDPP_compat]
Assoc [record, in hydras.Prelude.STDPP_compat]
assoc [constructor, in hydras.Prelude.STDPP_compat]
Assoc [inductive, in hydras.Prelude.STDPP_compat]
assoc:105 [binder, in additions.fib]
assoc:112 [binder, in additions.fib]
assoc:123 [binder, in additions.fib]
atomic [constructor, in hydras.Ackermann.fol]
aux:10 [binder, in additions.Trace_exercise]
AXM [constructor, in hydras.Ackermann.folProof]
Axm [lemma, in hydras.Ackermann.LNN]
Axm [lemma, in hydras.Ackermann.LNT]
Axm [lemma, in hydras.Ackermann.folLogic]
AxmEq4 [definition, in hydras.Ackermann.folProof]
AxmEq5 [definition, in hydras.Ackermann.folProof]
Axm:120 [binder, in hydras.Ackermann.LNN2LNT]
axm:126 [binder, in hydras.Ackermann.LNN2LNT]
Axm:128 [binder, in hydras.Ackermann.LNN2LNT]
Axm:141 [binder, in hydras.Ackermann.LNN2LNT]
Axm:145 [binder, in hydras.Ackermann.LNN2LNT]
Axm:15 [binder, in Goedel.goedel2]
Axm:19 [binder, in Goedel.goedel2]
Axm:44 [binder, in Goedel.rosserPA]
Axm:47 [binder, in Goedel.rosserPA]
axp_scheme_length1 [lemma, in additions.Addition_Chains]
axp_correct [lemma, in additions.Addition_Chains]
axp_scheme [definition, in additions.Addition_Chains]
AX1 [axiom, in hydras.Schutte.Schutte_basics]
AX2 [axiom, in hydras.Schutte.Schutte_basics]
AX3 [axiom, in hydras.Schutte.Schutte_basics]
ax:252 [binder, in additions.Addition_Chains]
A_def.m [variable, in hydras.OrdinalNotations.ON_Omega2]
A_def [section, in hydras.OrdinalNotations.ON_Omega2]
A_full [lemma, in hydras.Schutte.Critical]
A_Cr [lemma, in hydras.Schutte.Critical]
A_ [definition, in hydras.Schutte.Critical]
A_given.LtA [variable, in hydras.solutions_exercises.MultisetWf]
A_given.A [variable, in hydras.solutions_exercises.MultisetWf]
A_given [section, in hydras.solutions_exercises.MultisetWf]
A_node [constructor, in additions.Addition_Chains]
A_closed [lemma, in hydras.Schutte.Ordering_Functions]
A_denum [lemma, in hydras.Schutte.Ordering_Functions]
a'':44 [binder, in hydras.Hydra.BigBattle]
a':1022 [binder, in gaia_hydras.nfwfgaia]
a':11 [binder, in hydras.Prelude.Simple_LexProd]
a':1150 [binder, in gaia_hydras.nfwfgaia]
a':116 [binder, in hydras.Epsilon0.T1]
a':1297 [binder, in gaia_hydras.nfwfgaia]
a':130 [binder, in gaia_hydras.nfwfgaia]
a':1301 [binder, in gaia_hydras.nfwfgaia]
a':1305 [binder, in gaia_hydras.nfwfgaia]
a':1309 [binder, in gaia_hydras.nfwfgaia]
a':1335 [binder, in gaia_hydras.nfwfgaia]
a':1381 [binder, in gaia_hydras.nfwfgaia]
a':1391 [binder, in gaia_hydras.nfwfgaia]
a':1419 [binder, in gaia_hydras.nfwfgaia]
a':1425 [binder, in gaia_hydras.nfwfgaia]
a':1433 [binder, in gaia_hydras.nfwfgaia]
a':1497 [binder, in gaia_hydras.nfwfgaia]
a':1505 [binder, in gaia_hydras.nfwfgaia]
a':153 [binder, in hydras.rpo.more_list]
a':1548 [binder, in gaia_hydras.nfwfgaia]
a':1582 [binder, in gaia_hydras.nfwfgaia]
a':1606 [binder, in gaia_hydras.nfwfgaia]
a':1615 [binder, in gaia_hydras.nfwfgaia]
a':1624 [binder, in gaia_hydras.nfwfgaia]
a':1632 [binder, in gaia_hydras.nfwfgaia]
a':164 [binder, in hydras.Epsilon0.T1]
a':1688 [binder, in gaia_hydras.nfwfgaia]
a':169 [binder, in hydras.rpo.rpo]
a':1694 [binder, in gaia_hydras.nfwfgaia]
a':173 [binder, in gaia_hydras.nfwfgaia]
a':175 [binder, in hydras.Epsilon0.T1]
a':18 [binder, in hydras.Epsilon0.Hessenberg]
a':189 [binder, in hydras.rpo.rpo]
a':191 [binder, in hydras.rpo.rpo]
a':2063 [binder, in gaia_hydras.nfwfgaia]
a':2077 [binder, in gaia_hydras.nfwfgaia]
a':2082 [binder, in gaia_hydras.nfwfgaia]
a':22 [binder, in hydras.Schutte.Correctness_E0]
a':222 [binder, in hydras.Epsilon0.T1]
a':224 [binder, in gaia_hydras.nfwfgaia]
a':228 [binder, in hydras.Epsilon0.T1]
a':23 [binder, in hydras.Hydra.BigBattle]
a':230 [binder, in gaia_hydras.nfwfgaia]
a':237 [binder, in hydras.rpo.rpo]
a':24 [binder, in hydras.Epsilon0.Hessenberg]
a':24 [binder, in additions.Monoid_instances]
a':240 [binder, in gaia_hydras.nfwfgaia]
a':250 [binder, in hydras.rpo.rpo]
a':255 [binder, in hydras.rpo.rpo]
a':256 [binder, in hydras.Epsilon0.T1]
a':257 [binder, in gaia_hydras.nfwfgaia]
a':300 [binder, in hydras.Gamma0.Gamma0]
a':307 [binder, in hydras.rpo.rpo]
a':308 [binder, in hydras.rpo.rpo]
a':32 [binder, in hydras.Hydra.BigBattle]
a':33 [binder, in hydras.Epsilon0.T1]
a':33 [binder, in hydras.Gamma0.Gamma0]
a':34 [binder, in hydras.Schutte.PartialFun]
a':346 [binder, in hydras.Epsilon0.T1]
a':35 [binder, in hydras.Epsilon0.Hessenberg]
a':358 [binder, in hydras.Epsilon0.T1]
a':364 [binder, in hydras.Epsilon0.T1]
a':378 [binder, in hydras.Epsilon0.T1]
a':388 [binder, in hydras.Epsilon0.T1]
a':40 [binder, in hydras.Hydra.BigBattle]
a':41 [binder, in hydras.Epsilon0.Hessenberg]
a':428 [binder, in hydras.Epsilon0.T1]
a':429 [binder, in gaia_hydras.nfwfgaia]
a':439 [binder, in hydras.Epsilon0.T1]
a':44 [binder, in hydras.Prelude.DecPreOrder_Instances]
a':44 [binder, in hydras.Schutte.PartialFun]
a':48 [binder, in hydras.Prelude.DecPreOrder_Instances]
a':49 [binder, in hydras.Epsilon0.Epsilon0rpo]
a':51 [binder, in hydras.Epsilon0.Hessenberg]
a':52 [binder, in hydras.Prelude.DecPreOrder_Instances]
a':53 [binder, in hydras.Epsilon0.T1]
a':53 [binder, in hydras.Epsilon0.Epsilon0rpo]
a':534 [binder, in hydras.Epsilon0.T1]
a':541 [binder, in hydras.Ackermann.primRec]
a':56 [binder, in hydras.Prelude.DecPreOrder_Instances]
a':56 [binder, in hydras.Hydra.BigBattle]
a':57 [binder, in hydras.Prelude.Sort_spec]
a':60 [binder, in hydras.Prelude.DecPreOrder_Instances]
a':67 [binder, in hydras.Epsilon0.T1]
a':69 [binder, in gaia_hydras.T1Bridge]
a':725 [binder, in hydras.Epsilon0.T1]
a':74 [binder, in hydras.Epsilon0.T1]
a':74 [binder, in hydras.rpo.rpo]
a':75 [binder, in gaia_hydras.T1Bridge]
a':789 [binder, in gaia_hydras.nfwfgaia]
a':81 [binder, in hydras.Gamma0.T2]
a':846 [binder, in gaia_hydras.nfwfgaia]
a':869 [binder, in gaia_hydras.nfwfgaia]
a':896 [binder, in gaia_hydras.nfwfgaia]
a':900 [binder, in gaia_hydras.nfwfgaia]
a':906 [binder, in gaia_hydras.nfwfgaia]
a':914 [binder, in gaia_hydras.nfwfgaia]
a':942 [binder, in gaia_hydras.nfwfgaia]
a':990 [binder, in gaia_hydras.nfwfgaia]
a0:17 [binder, in hydras.Schutte.Well_Orders]
a0:191 [binder, in hydras.Ackermann.cPair]
a0:194 [binder, in hydras.Ackermann.cPair]
a0:198 [binder, in hydras.Ackermann.cPair]
a0:221 [binder, in hydras.Ackermann.cPair]
a0:225 [binder, in hydras.Ackermann.cPair]
a0:229 [binder, in hydras.Ackermann.cPair]
a0:233 [binder, in hydras.Ackermann.cPair]
a0:236 [binder, in hydras.Ackermann.cPair]
a0:238 [binder, in hydras.Ackermann.cPair]
a0:240 [binder, in hydras.Ackermann.cPair]
a0:242 [binder, in hydras.Ackermann.cPair]
a0:301 [binder, in hydras.Ackermann.folProp]
a0:308 [binder, in hydras.Ackermann.folProp]
a0:317 [binder, in hydras.Ackermann.folProp]
a0:324 [binder, in hydras.Ackermann.folProp]
a0:333 [binder, in hydras.Ackermann.folProp]
a0:340 [binder, in hydras.Ackermann.folProp]
a0:349 [binder, in hydras.Ackermann.folProp]
a0:356 [binder, in hydras.Ackermann.folProp]
a0:44 [binder, in hydras.Ackermann.LNN2LNT]
a0:534 [binder, in hydras.Ackermann.primRec]
a0:536 [binder, in hydras.Ackermann.primRec]
A1_A2 [lemma, in hydras.Schutte.Ordering_Functions]
a1:105 [binder, in hydras.rpo.more_list]
a1:113 [binder, in hydras.rpo.more_list]
A1:114 [binder, in hydras.Schutte.Ordering_Functions]
a1:122 [binder, in hydras.Prelude.Merge_Sort]
a1:130 [binder, in hydras.Prelude.Merge_Sort]
a1:1360 [binder, in hydras.Ackermann.codeSubFormula]
a1:137 [binder, in hydras.rpo.more_list]
a1:146 [binder, in hydras.rpo.more_list]
a1:156 [binder, in hydras.rpo.more_list]
a1:165 [binder, in hydras.rpo.more_list]
a1:172 [binder, in hydras.rpo.more_list]
a1:180 [binder, in hydras.rpo.more_list]
a1:188 [binder, in hydras.rpo.more_list]
a1:192 [binder, in hydras.Ackermann.cPair]
a1:195 [binder, in hydras.Ackermann.cPair]
a1:199 [binder, in hydras.Ackermann.cPair]
a1:2 [binder, in hydras.rpo.decidable_set]
a1:20 [binder, in hydras.Epsilon0.Epsilon0rpo]
a1:203 [binder, in hydras.rpo.more_list]
a1:212 [binder, in hydras.rpo.more_list]
a1:222 [binder, in hydras.rpo.more_list]
a1:240 [binder, in hydras.rpo.more_list]
a1:249 [binder, in hydras.rpo.more_list]
a1:261 [binder, in hydras.rpo.more_list]
a1:261 [binder, in hydras.Gamma0.Gamma0]
a1:27 [binder, in hydras.rpo.rpo]
a1:3 [binder, in hydras.rpo.rpo]
a1:35 [binder, in hydras.Gamma0.Gamma0]
a1:43 [binder, in hydras.Gamma0.Gamma0]
a1:51 [binder, in hydras.Gamma0.Gamma0]
a1:59 [binder, in hydras.Gamma0.Gamma0]
a1:67 [binder, in hydras.Gamma0.Gamma0]
a1:75 [binder, in hydras.Gamma0.Gamma0]
a1:79 [binder, in hydras.rpo.more_list]
a1:81 [binder, in hydras.rpo.list_permut]
a1:82 [binder, in hydras.Gamma0.Gamma0]
a1:89 [binder, in hydras.rpo.more_list]
a1:97 [binder, in hydras.rpo.more_list]
A2_A1 [lemma, in hydras.Schutte.Ordering_Functions]
a2:106 [binder, in hydras.rpo.more_list]
a2:114 [binder, in hydras.rpo.more_list]
A2:115 [binder, in hydras.Schutte.Ordering_Functions]
a2:124 [binder, in hydras.Prelude.Merge_Sort]
a2:132 [binder, in hydras.Prelude.Merge_Sort]
a2:1361 [binder, in hydras.Ackermann.codeSubFormula]
a2:138 [binder, in hydras.rpo.more_list]
a2:147 [binder, in hydras.rpo.more_list]
a2:157 [binder, in hydras.rpo.more_list]
a2:166 [binder, in hydras.rpo.more_list]
a2:173 [binder, in hydras.rpo.more_list]
a2:181 [binder, in hydras.rpo.more_list]
a2:189 [binder, in hydras.rpo.more_list]
a2:196 [binder, in hydras.Ackermann.cPair]
a2:200 [binder, in hydras.Ackermann.cPair]
a2:204 [binder, in hydras.rpo.more_list]
a2:21 [binder, in hydras.Epsilon0.Epsilon0rpo]
a2:213 [binder, in hydras.rpo.more_list]
a2:223 [binder, in hydras.rpo.more_list]
a2:241 [binder, in hydras.rpo.more_list]
a2:250 [binder, in hydras.rpo.more_list]
a2:262 [binder, in hydras.rpo.more_list]
a2:262 [binder, in hydras.Gamma0.Gamma0]
a2:28 [binder, in hydras.rpo.rpo]
a2:3 [binder, in hydras.rpo.decidable_set]
a2:36 [binder, in hydras.Gamma0.Gamma0]
a2:4 [binder, in hydras.rpo.rpo]
a2:44 [binder, in hydras.Gamma0.Gamma0]
a2:52 [binder, in hydras.Gamma0.Gamma0]
a2:60 [binder, in hydras.Gamma0.Gamma0]
a2:68 [binder, in hydras.Gamma0.Gamma0]
a2:76 [binder, in hydras.Gamma0.Gamma0]
a2:80 [binder, in hydras.rpo.more_list]
a2:83 [binder, in hydras.rpo.list_permut]
a2:90 [binder, in hydras.rpo.more_list]
a2:98 [binder, in hydras.rpo.more_list]
a:1 [binder, in Goedel.PRrepresentable]
a:1 [binder, in gaia_hydras.T1Choice]
A:1 [binder, in hydras.Prelude.DecPreOrder_Instances]
A:1 [binder, in hydras.Prelude.Iterates]
A:1 [binder, in hydras.solutions_exercises.predSuccUnicity]
a:1 [binder, in hydras.Hydra.O2H]
a:1 [binder, in additions.Compatibility]
A:1 [binder, in hydras.Prelude.Restriction]
A:1 [binder, in hydras.solutions_exercises.Limit_Infinity]
A:1 [binder, in hydras.rpo.more_list]
A:1 [binder, in hydras.Prelude.Comparable]
A:1 [binder, in hydras.OrdinalNotations.ON_O]
A:1 [binder, in additions.Pow_variant]
a:1 [binder, in Goedel.fixPoint]
A:1 [binder, in additions.Pow]
A:1 [binder, in hydras.Prelude.Sort_spec]
A:1 [binder, in hydras.Prelude.DecPreOrder]
a:1 [binder, in gaia_hydras.GCanon]
A:1 [binder, in hydras.Schutte.MoreEpsilonIota]
a:1 [binder, in hydras.solutions_exercises.OnCodeList]
A:1 [binder, in hydras.solutions_exercises.MultisetWf]
A:1 [binder, in additions.Wf_transparent]
a:1 [binder, in gaia_hydras.T1Bridge]
A:1 [binder, in hydras.Prelude.MoreOrders]
A:1 [binder, in additions.Monoid_def]
A:1 [binder, in additions.Trace_exercise]
A:1 [binder, in hydras.solutions_exercises.lt_succ_le]
a:1 [binder, in hydras.Ackermann.prLogic]
A:1 [binder, in hydras.OrdinalNotations.ON_mult]
A:1 [binder, in additions.Euclidean_Chains]
A:1 [binder, in hydras.OrdinalNotations.ON_plus]
A:1 [binder, in hydras.Prelude.STDPP_compat]
a:1 [binder, in hydras.solutions_exercises.MinPR]
a:1 [binder, in hydras.Ackermann.NNtheory]
a:1 [binder, in gaia_hydras.GLarge_Sets]
A:1 [binder, in hydras.OrdinalNotations.ON_Generic]
A:1 [binder, in gaia_hydras.onType]
A:1 [binder, in additions.Addition_Chains]
a:1 [binder, in gaia_hydras.GaiaToHydra]
A:1 [binder, in hydras.Schutte.Ordering_Functions]
a:1 [binder, in hydras.Gamma0.Gamma0]
A:1 [binder, in hydras.rpo.closure]
A:1 [binder, in hydras.rpo.rpo]
A:1 [binder, in hydras.Prelude.MoreVectors]
a:10 [binder, in gaia_hydras.T1Choice]
A:10 [binder, in additions.Pow_variant]
a:10 [binder, in Goedel.fixPoint]
A:10 [binder, in additions.Pow]
A:10 [binder, in hydras.Prelude.DecPreOrder]
a:10 [binder, in gaia_hydras.GCanon]
a:10 [binder, in hydras.Hydra.Hydra_Termination]
a:10 [binder, in hydras.Ackermann.prLogic]
a:10 [binder, in hydras.Schutte.Ordering_Functions]
A:10 [binder, in hydras.rpo.closure]
a:10 [binder, in hydras.Prelude.Simple_LexProd]
A:10 [binder, in hydras.Ackermann.expressible]
a:100 [binder, in hydras.rpo.more_list]
a:100 [binder, in hydras.Ackermann.cPair]
a:100 [binder, in gaia_hydras.nfwfgaia]
a:1000 [binder, in gaia_hydras.nfwfgaia]
a:1003 [binder, in gaia_hydras.nfwfgaia]
a:1006 [binder, in gaia_hydras.nfwfgaia]
a:1008 [binder, in gaia_hydras.nfwfgaia]
A:101 [binder, in additions.fib]
A:101 [binder, in additions.Addition_Chains]
a:1012 [binder, in gaia_hydras.nfwfgaia]
a:1014 [binder, in gaia_hydras.nfwfgaia]
a:1019 [binder, in gaia_hydras.nfwfgaia]
a:102 [binder, in hydras.Prelude.Merge_Sort]
a:102 [binder, in gaia_hydras.T1Bridge]
a:102 [binder, in hydras.Ackermann.cPair]
a:102 [binder, in hydras.Ackermann.folLogic3]
a:1026 [binder, in gaia_hydras.nfwfgaia]
a:1029 [binder, in gaia_hydras.nfwfgaia]
a:103 [binder, in hydras.Gamma0.T2]
A:103 [binder, in additions.AM]
a:103 [binder, in hydras.Epsilon0.Hessenberg]
a:103 [binder, in hydras.MoreAck.AckNotPR]
a:103 [binder, in hydras.Ackermann.cPair]
a:1034 [binder, in gaia_hydras.nfwfgaia]
A:104 [binder, in hydras.rpo.more_list]
a:104 [binder, in gaia_hydras.T1Bridge]
a:1049 [binder, in gaia_hydras.nfwfgaia]
a:105 [binder, in hydras.MoreAck.AckNotPR]
a:105 [binder, in hydras.Ackermann.cPair]
a:105 [binder, in hydras.Ackermann.codeList]
a:105 [binder, in gaia_hydras.nfwfgaia]
A:105 [binder, in hydras.MoreAck.PrimRecExamples]
a:106 [binder, in hydras.Gamma0.T2]
a:106 [binder, in hydras.Epsilon0.Hessenberg]
a:106 [binder, in gaia_hydras.T1Bridge]
A:106 [binder, in hydras.OrdinalNotations.ON_Generic]
a:107 [binder, in hydras.Hydra.O2H]
a:107 [binder, in gaia_hydras.T1Bridge]
a:107 [binder, in hydras.Ackermann.cPair]
a:107 [binder, in gaia_hydras.nfwfgaia]
a:1077 [binder, in gaia_hydras.nfwfgaia]
a:1079 [binder, in gaia_hydras.nfwfgaia]
A:108 [binder, in additions.AM]
A:108 [binder, in hydras.Prelude.MoreLists]
a:108 [binder, in hydras.rpo.more_list]
a:108 [binder, in hydras.Ackermann.codeSubFormula]
A:108 [binder, in additions.fib]
A:108 [binder, in hydras.Hydra.Hydra_Lemmas]
a:1080 [binder, in gaia_hydras.nfwfgaia]
a:1081 [binder, in gaia_hydras.nfwfgaia]
a:1082 [binder, in gaia_hydras.nfwfgaia]
a:1083 [binder, in gaia_hydras.nfwfgaia]
a:109 [binder, in gaia_hydras.T1Bridge]
a:109 [binder, in hydras.Ackermann.cPair]
A:109 [binder, in additions.Addition_Chains]
a:1097 [binder, in gaia_hydras.nfwfgaia]
a:1099 [binder, in gaia_hydras.nfwfgaia]
A:11 [binder, in hydras.rpo.more_list]
a:11 [binder, in hydras.OrdinalNotations.ON_O]
a:11 [binder, in hydras.Schutte.Lub]
A:11 [binder, in hydras.Ackermann.folProp]
A:11 [binder, in hydras.MoreAck.AckNotPR]
a:11 [binder, in gaia_hydras.T1Bridge]
a:11 [binder, in hydras.Ackermann.prLogic]
A:11 [binder, in additions.Euclidean_Chains]
a:11 [binder, in hydras.Schutte.PartialFun]
a:11 [binder, in hydras.Schutte.Schutte_basics]
a:11 [binder, in hydras.Ackermann.NNtheory]
a:11 [binder, in gaia_hydras.GLarge_Sets]
A:11 [binder, in hydras.OrdinalNotations.ON_Generic]
a:11 [binder, in Goedel.goedel1]
a:11 [binder, in hydras.Ackermann.NN]
a:11 [binder, in hydras.rpo.dickson]
a:11 [binder, in hydras.solutions_exercises.isqrt]
a:11 [binder, in gaia_hydras.T2Bridge]
a:11 [binder, in Goedel.goedel2]
a:11 [binder, in hydras.Ackermann.expressible]
A:11 [binder, in hydras.Prelude.MoreVectors]
a:110 [binder, in hydras.Ackermann.cPair]
A:110 [binder, in additions.Euclidean_Chains]
a:110 [binder, in hydras.Ackermann.codeList]
a:110 [binder, in hydras.rpo.rpo]
a:1101 [binder, in gaia_hydras.nfwfgaia]
a:1103 [binder, in gaia_hydras.nfwfgaia]
a:1106 [binder, in gaia_hydras.nfwfgaia]
a:1109 [binder, in gaia_hydras.nfwfgaia]
a:111 [binder, in gaia_hydras.T1Bridge]
a:111 [binder, in gaia_hydras.nfwfgaia]
a:1111 [binder, in gaia_hydras.nfwfgaia]
a:112 [binder, in hydras.Hydra.O2H]
A:112 [binder, in hydras.rpo.more_list]
a:112 [binder, in gaia_hydras.T1Bridge]
a:112 [binder, in hydras.Ackermann.cPair]
a:1126 [binder, in gaia_hydras.nfwfgaia]
a:1129 [binder, in gaia_hydras.nfwfgaia]
a:113 [binder, in hydras.Epsilon0.T1]
a:113 [binder, in hydras.Ackermann.cPair]
a:113 [binder, in hydras.Schutte.Ordering_Functions]
a:113 [binder, in gaia_hydras.nfwfgaia]
a:1131 [binder, in gaia_hydras.nfwfgaia]
a:1135 [binder, in gaia_hydras.nfwfgaia]
a:1136 [binder, in gaia_hydras.nfwfgaia]
a:1137 [binder, in gaia_hydras.nfwfgaia]
a:1144 [binder, in gaia_hydras.nfwfgaia]
a:1148 [binder, in gaia_hydras.nfwfgaia]
a:115 [binder, in hydras.Epsilon0.Hessenberg]
A:115 [binder, in additions.Addition_Chains]
a:1154 [binder, in gaia_hydras.nfwfgaia]
a:1158 [binder, in gaia_hydras.nfwfgaia]
a:116 [binder, in gaia_hydras.T1Bridge]
A:116 [binder, in additions.fib]
a:1160 [binder, in gaia_hydras.nfwfgaia]
a:1162 [binder, in gaia_hydras.nfwfgaia]
a:1164 [binder, in gaia_hydras.nfwfgaia]
a:1166 [binder, in gaia_hydras.nfwfgaia]
a:1169 [binder, in gaia_hydras.nfwfgaia]
a:117 [binder, in gaia_hydras.T1Bridge]
a:117 [binder, in hydras.Ackermann.cPair]
a:117 [binder, in gaia_hydras.nfwfgaia]
a:1171 [binder, in gaia_hydras.nfwfgaia]
A:118 [binder, in additions.AM]
A:119 [binder, in hydras.Prelude.MoreLists]
a:119 [binder, in hydras.Epsilon0.Hessenberg]
a:119 [binder, in gaia_hydras.T1Bridge]
a:119 [binder, in hydras.Ackermann.cPair]
a:1191 [binder, in gaia_hydras.nfwfgaia]
a:1193 [binder, in gaia_hydras.nfwfgaia]
a:1195 [binder, in gaia_hydras.nfwfgaia]
a:1199 [binder, in gaia_hydras.nfwfgaia]
a:12 [binder, in gaia_hydras.T1Choice]
a:12 [binder, in hydras.Prelude.WfVariant]
a:12 [binder, in hydras.Ackermann.extEqualNat]
A:12 [binder, in hydras.Prelude.Comparable]
a:12 [binder, in hydras.OrdinalNotations.ON_O]
a:12 [binder, in gaia_hydras.GPaths]
a:12 [binder, in gaia_hydras.GCanon]
a:12 [binder, in hydras.OrdinalNotations.OmegaOmega]
A:12 [binder, in hydras.Prelude.STDPP_compat]
a:12 [binder, in hydras.Ackermann.NN]
a:12 [binder, in hydras.rpo.closure]
a:12 [binder, in hydras.solutions_exercises.T1_ltNotWf]
A:12 [binder, in hydras.rpo.rpo]
a:1208 [binder, in gaia_hydras.nfwfgaia]
a:1209 [binder, in hydras.Ackermann.codeSubFormula]
A:121 [binder, in hydras.rpo.more_list]
a:121 [binder, in hydras.Epsilon0.Hessenberg]
A:121 [binder, in hydras.OrdinalNotations.ON_Generic]
a:1211 [binder, in gaia_hydras.nfwfgaia]
a:1212 [binder, in hydras.Ackermann.codeSubFormula]
a:1214 [binder, in gaia_hydras.nfwfgaia]
a:1216 [binder, in hydras.Ackermann.codeSubFormula]
a:122 [binder, in gaia_hydras.T1Bridge]
A:122 [binder, in additions.Addition_Chains]
A:122 [binder, in hydras.Schutte.Ordering_Functions]
a:1226 [binder, in gaia_hydras.nfwfgaia]
a:123 [binder, in hydras.Gamma0.T2]
A:123 [binder, in additions.AM]
a:123 [binder, in hydras.Epsilon0.Hessenberg]
a:123 [binder, in gaia_hydras.T1Bridge]
a:123 [binder, in hydras.Ackermann.fol]
a:1231 [binder, in gaia_hydras.nfwfgaia]
a:1233 [binder, in gaia_hydras.nfwfgaia]
a:1235 [binder, in gaia_hydras.nfwfgaia]
a:1237 [binder, in gaia_hydras.nfwfgaia]
A:124 [binder, in Goedel.PRrepresentable]
a:124 [binder, in hydras.Ackermann.folProp]
a:124 [binder, in gaia_hydras.T1Bridge]
a:1240 [binder, in gaia_hydras.nfwfgaia]
a:1244 [binder, in gaia_hydras.nfwfgaia]
a:1248 [binder, in gaia_hydras.nfwfgaia]
a:125 [binder, in hydras.Epsilon0.T1]
a:125 [binder, in hydras.rpo.more_list]
a:125 [binder, in hydras.Epsilon0.Hessenberg]
a:125 [binder, in gaia_hydras.T1Bridge]
a:125 [binder, in additions.fib]
a:1252 [binder, in gaia_hydras.nfwfgaia]
a:1255 [binder, in gaia_hydras.nfwfgaia]
a:1258 [binder, in gaia_hydras.nfwfgaia]
A:126 [binder, in hydras.Prelude.MoreLists]
a:126 [binder, in gaia_hydras.T1Bridge]
a:1261 [binder, in gaia_hydras.nfwfgaia]
a:127 [binder, in hydras.Gamma0.T2]
a:127 [binder, in gaia_hydras.T1Bridge]
a:127 [binder, in gaia_hydras.nfwfgaia]
a:1270 [binder, in gaia_hydras.nfwfgaia]
a:1271 [binder, in gaia_hydras.nfwfgaia]
a:1273 [binder, in gaia_hydras.nfwfgaia]
a:1275 [binder, in gaia_hydras.nfwfgaia]
a:1278 [binder, in gaia_hydras.nfwfgaia]
a:128 [binder, in hydras.Epsilon0.Hessenberg]
a:128 [binder, in hydras.Ackermann.fol]
A:128 [binder, in hydras.Hydra.Hydra_Lemmas]
a:1281 [binder, in hydras.Ackermann.codeSubFormula]
a:1283 [binder, in hydras.Ackermann.codeSubFormula]
a:1283 [binder, in gaia_hydras.nfwfgaia]
a:1285 [binder, in hydras.Ackermann.codeSubFormula]
a:1286 [binder, in gaia_hydras.nfwfgaia]
a:1289 [binder, in hydras.Ackermann.codeSubFormula]
a:1289 [binder, in gaia_hydras.nfwfgaia]
a:129 [binder, in gaia_hydras.T1Bridge]
A:129 [binder, in additions.Addition_Chains]
a:1292 [binder, in gaia_hydras.nfwfgaia]
a:1295 [binder, in gaia_hydras.nfwfgaia]
a:1299 [binder, in gaia_hydras.nfwfgaia]
a:13 [binder, in hydras.Prelude.Restriction]
a:13 [binder, in Goedel.fixPoint]
a:13 [binder, in gaia_hydras.GCanon]
a:13 [binder, in gaia_hydras.T1Bridge]
a:13 [binder, in hydras.Ackermann.prLogic]
a:13 [binder, in hydras.Hydra.BigBattle]
a:13 [binder, in hydras.Ackermann.NNtheory]
a:13 [binder, in hydras.Schutte.Well_Orders]
A:13 [binder, in additions.Addition_Chains]
a:13 [binder, in hydras.Schutte.Ordering_Functions]
a:13 [binder, in hydras.solutions_exercises.isqrt]
a:130 [binder, in hydras.OrdinalNotations.ON_Generic]
a:1303 [binder, in gaia_hydras.nfwfgaia]
a:1307 [binder, in gaia_hydras.nfwfgaia]
a:131 [binder, in hydras.Epsilon0.T1]
A:131 [binder, in Goedel.PRrepresentable]
a:131 [binder, in hydras.Gamma0.T2]
A:131 [binder, in hydras.Prelude.MoreLists]
A:131 [binder, in hydras.rpo.more_list]
a:131 [binder, in hydras.Epsilon0.Hessenberg]
a:131 [binder, in gaia_hydras.T1Bridge]
a:1312 [binder, in gaia_hydras.nfwfgaia]
a:1314 [binder, in gaia_hydras.nfwfgaia]
a:1318 [binder, in gaia_hydras.nfwfgaia]
a:132 [binder, in gaia_hydras.T1Bridge]
a:1320 [binder, in gaia_hydras.nfwfgaia]
a:133 [binder, in gaia_hydras.T1Bridge]
A:133 [binder, in hydras.OrdinalNotations.ON_Generic]
a:133 [binder, in gaia_hydras.nfwfgaia]
a:1330 [binder, in gaia_hydras.nfwfgaia]
a:134 [binder, in hydras.rpo.more_list]
a:1345 [binder, in gaia_hydras.nfwfgaia]
a:135 [binder, in hydras.Gamma0.T2]
A:135 [binder, in hydras.rpo.more_list]
a:1350 [binder, in gaia_hydras.nfwfgaia]
a:1355 [binder, in gaia_hydras.nfwfgaia]
a:136 [binder, in hydras.Epsilon0.T1]
A:136 [binder, in hydras.Prelude.MoreLists]
a:136 [binder, in hydras.Ackermann.codeSubFormula]
a:136 [binder, in hydras.Ackermann.primRec]
a:136 [binder, in gaia_hydras.nfwfgaia]
a:1360 [binder, in gaia_hydras.nfwfgaia]
a:1365 [binder, in gaia_hydras.nfwfgaia]
a:137 [binder, in hydras.Ackermann.LNT]
A:137 [binder, in hydras.Ackermann.fol]
a:1370 [binder, in gaia_hydras.nfwfgaia]
a:1376 [binder, in gaia_hydras.nfwfgaia]
a:138 [binder, in hydras.Ackermann.codeSubFormula]
a:138 [binder, in hydras.Ackermann.primRec]
a:138 [binder, in additions.fib]
a:1388 [binder, in gaia_hydras.nfwfgaia]
a:139 [binder, in hydras.Ackermann.LNT]
a:14 [binder, in Goedel.PRrepresentable]
a:14 [binder, in hydras.solutions_exercises.MinPR2]
a:14 [binder, in hydras.Prelude.WfVariant]
a:14 [binder, in hydras.Ackermann.extEqualNat]
a:14 [binder, in hydras.Schutte.MoreEpsilonIota]
a:14 [binder, in hydras.solutions_exercises.MultisetWf]
a:14 [binder, in hydras.Ackermann.folLogic3]
A:14 [binder, in additions.Addition_Chains]
a:14 [binder, in hydras.solutions_exercises.T1_ltNotWf]
a:14 [binder, in hydras.MoreAck.PrimRecExamples]
a:14 [binder, in hydras.Prelude.Simple_LexProd]
A:14 [binder, in hydras.Prelude.MoreVectors]
a:140 [binder, in hydras.Gamma0.T2]
a:140 [binder, in hydras.rpo.more_list]
a:140 [binder, in hydras.Ackermann.LNN]
a:140 [binder, in hydras.Ackermann.primRec]
A:140 [binder, in hydras.Ackermann.fol]
a:1407 [binder, in gaia_hydras.nfwfgaia]
A:141 [binder, in hydras.Prelude.MoreLists]
a:141 [binder, in gaia_hydras.T1Bridge]
a:141 [binder, in hydras.Gamma0.Gamma0]
a:1416 [binder, in gaia_hydras.nfwfgaia]
A:142 [binder, in Goedel.PRrepresentable]
a:142 [binder, in hydras.Ackermann.LNN]
a:142 [binder, in hydras.Ackermann.LNT]
a:142 [binder, in gaia_hydras.T1Bridge]
A:142 [binder, in additions.Euclidean_Chains]
A:142 [binder, in hydras.Ackermann.fol]
a:1422 [binder, in gaia_hydras.nfwfgaia]
a:1428 [binder, in gaia_hydras.nfwfgaia]
a:143 [binder, in hydras.Ackermann.primRec]
a:143 [binder, in additions.fib]
A:143 [binder, in hydras.Schutte.Ordering_Functions]
a:144 [binder, in hydras.Gamma0.T2]
A:144 [binder, in hydras.rpo.more_list]
a:144 [binder, in gaia_hydras.T1Bridge]
A:144 [binder, in hydras.Ackermann.fol]
A:144 [binder, in hydras.Hydra.Hydra_Definitions]
a:1441 [binder, in gaia_hydras.nfwfgaia]
a:1443 [binder, in gaia_hydras.nfwfgaia]
a:1445 [binder, in gaia_hydras.nfwfgaia]
a:1447 [binder, in gaia_hydras.nfwfgaia]
a:1449 [binder, in gaia_hydras.nfwfgaia]
a:145 [binder, in hydras.Ackermann.LNN]
a:146 [binder, in hydras.Gamma0.T2]
a:146 [binder, in hydras.Ackermann.LNT]
a:146 [binder, in hydras.Ackermann.primRec]
A:146 [binder, in hydras.Ackermann.fol]
A:146 [binder, in hydras.OrdinalNotations.ON_Generic]
a:1460 [binder, in gaia_hydras.nfwfgaia]
a:1461 [binder, in gaia_hydras.nfwfgaia]
a:1463 [binder, in gaia_hydras.nfwfgaia]
a:1465 [binder, in gaia_hydras.nfwfgaia]
a:1468 [binder, in gaia_hydras.nfwfgaia]
A:147 [binder, in hydras.Ackermann.fol]
A:147 [binder, in hydras.Schutte.Ordering_Functions]
a:1470 [binder, in gaia_hydras.nfwfgaia]
A:148 [binder, in additions.Euclidean_Chains]
a:148 [binder, in additions.fib]
a:149 [binder, in hydras.rpo.more_list]
a:149 [binder, in hydras.Ackermann.LNN]
a:149 [binder, in hydras.Ackermann.primRec]
A:149 [binder, in additions.Euclidean_Chains]
A:149 [binder, in hydras.Ackermann.fol]
a:1492 [binder, in gaia_hydras.nfwfgaia]
A:15 [binder, in hydras.Prelude.DecPreOrder_Instances]
A:15 [binder, in hydras.rpo.more_list]
a:15 [binder, in hydras.OrdinalNotations.ON_O]
a:15 [binder, in hydras.Epsilon0.Hessenberg]
A:15 [binder, in hydras.Prelude.DecPreOrder]
a:15 [binder, in gaia_hydras.GCanon]
a:15 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:15 [binder, in gaia_hydras.T1Bridge]
a:15 [binder, in hydras.Schutte.Schutte_basics]
a:15 [binder, in hydras.Prelude.MoreDecidable]
a:15 [binder, in hydras.Schutte.Ordering_Functions]
A:15 [binder, in hydras.rpo.closure]
A:15 [binder, in hydras.MoreAck.FolExamples]
a:15 [binder, in gaia_hydras.GHessenberg]
a:150 [binder, in gaia_hydras.T1Bridge]
A:150 [binder, in additions.Euclidean_Chains]
A:150 [binder, in hydras.Schutte.Ordering_Functions]
a:1502 [binder, in gaia_hydras.nfwfgaia]
a:1509 [binder, in gaia_hydras.nfwfgaia]
a:151 [binder, in hydras.Ackermann.LNT]
a:152 [binder, in gaia_hydras.nfwfgaia]
a:1521 [binder, in gaia_hydras.nfwfgaia]
a:1524 [binder, in gaia_hydras.nfwfgaia]
a:1527 [binder, in gaia_hydras.nfwfgaia]
A:153 [binder, in Goedel.PRrepresentable]
a:153 [binder, in hydras.Ackermann.primRec]
a:153 [binder, in hydras.Ackermann.fol]
a:1531 [binder, in gaia_hydras.nfwfgaia]
a:1536 [binder, in gaia_hydras.nfwfgaia]
A:154 [binder, in hydras.rpo.more_list]
a:154 [binder, in hydras.Ackermann.LNN]
a:154 [binder, in gaia_hydras.nfwfgaia]
A:154 [binder, in hydras.Hydra.Hydra_Definitions]
a:1540 [binder, in gaia_hydras.nfwfgaia]
a:1543 [binder, in gaia_hydras.nfwfgaia]
A:155 [binder, in additions.Euclidean_Chains]
a:1551 [binder, in gaia_hydras.nfwfgaia]
a:1558 [binder, in gaia_hydras.nfwfgaia]
a:156 [binder, in hydras.Ackermann.LNT]
a:156 [binder, in gaia_hydras.nfwfgaia]
a:1561 [binder, in gaia_hydras.nfwfgaia]
a:1564 [binder, in gaia_hydras.nfwfgaia]
a:1568 [binder, in gaia_hydras.nfwfgaia]
a:157 [binder, in hydras.Ackermann.primRec]
a:1574 [binder, in gaia_hydras.nfwfgaia]
a:1578 [binder, in gaia_hydras.nfwfgaia]
a:158 [binder, in gaia_hydras.T1Bridge]
a:158 [binder, in hydras.Ackermann.fol]
a:158 [binder, in gaia_hydras.nfwfgaia]
a:1587 [binder, in gaia_hydras.nfwfgaia]
a:159 [binder, in hydras.rpo.more_list]
a:159 [binder, in hydras.Ackermann.LNN]
A:159 [binder, in hydras.OrdinalNotations.ON_Generic]
A:159 [binder, in additions.Addition_Chains]
a:1592 [binder, in gaia_hydras.nfwfgaia]
a:1595 [binder, in gaia_hydras.nfwfgaia]
a:1598 [binder, in gaia_hydras.nfwfgaia]
a:16 [binder, in hydras.solutions_exercises.MinPR2]
a:16 [binder, in additions.Fib2]
a:16 [binder, in hydras.Prelude.Comparable]
A:16 [binder, in additions.Pow_variant]
a:16 [binder, in Goedel.fixPoint]
A:16 [binder, in additions.Pow]
a:16 [binder, in hydras.Prelude.Sort_spec]
A:16 [binder, in hydras.MoreAck.AckNotPR]
a:16 [binder, in hydras.Schutte.MoreEpsilonIota]
a:16 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:16 [binder, in hydras.Hydra.BigBattle]
A:16 [binder, in hydras.Ackermann.fol]
a:16 [binder, in hydras.Ackermann.NNtheory]
a:16 [binder, in gaia_hydras.GLarge_Sets]
a:16 [binder, in hydras.Schutte.Well_Orders]
a:16 [binder, in Goedel.rosser]
A:16 [binder, in hydras.Ackermann.expressible]
A:16 [binder, in hydras.Prelude.MoreVectors]
a:160 [binder, in hydras.Epsilon0.T1]
a:160 [binder, in gaia_hydras.nfwfgaia]
a:1601 [binder, in gaia_hydras.nfwfgaia]
a:161 [binder, in hydras.Ackermann.LNT]
a:161 [binder, in hydras.Ackermann.primRec]
a:161 [binder, in hydras.Ackermann.fol]
a:1612 [binder, in gaia_hydras.nfwfgaia]
a:162 [binder, in hydras.Epsilon0.T1]
a:162 [binder, in hydras.Ackermann.LNN]
a:162 [binder, in gaia_hydras.T1Bridge]
A:162 [binder, in additions.Euclidean_Chains]
a:162 [binder, in hydras.rpo.rpo]
a:1621 [binder, in gaia_hydras.nfwfgaia]
a:1629 [binder, in gaia_hydras.nfwfgaia]
A:163 [binder, in hydras.rpo.more_list]
a:1635 [binder, in gaia_hydras.nfwfgaia]
a:164 [binder, in gaia_hydras.T1Bridge]
a:164 [binder, in hydras.Ackermann.fol]
A:165 [binder, in hydras.Prelude.MoreLists]
a:165 [binder, in hydras.Gamma0.Gamma0]
a:1650 [binder, in gaia_hydras.nfwfgaia]
a:166 [binder, in gaia_hydras.T1Bridge]
a:166 [binder, in hydras.Ackermann.cPair]
A:166 [binder, in additions.Addition_Chains]
a:1660 [binder, in gaia_hydras.nfwfgaia]
a:167 [binder, in hydras.Epsilon0.T1]
a:167 [binder, in hydras.Ackermann.primRec]
a:167 [binder, in hydras.Ackermann.fol]
a:1671 [binder, in gaia_hydras.nfwfgaia]
a:1674 [binder, in gaia_hydras.nfwfgaia]
a:168 [binder, in hydras.rpo.more_list]
a:168 [binder, in gaia_hydras.T1Bridge]
A:168 [binder, in additions.Euclidean_Chains]
a:169 [binder, in Goedel.PRrepresentable]
a:169 [binder, in hydras.Ackermann.LNN]
a:169 [binder, in hydras.Ackermann.primRec]
a:169 [binder, in hydras.OrdinalNotations.ON_Generic]
a:169 [binder, in hydras.Gamma0.Gamma0]
A:17 [binder, in hydras.Prelude.Iterates]
a:17 [binder, in gaia_hydras.GPaths]
a:17 [binder, in hydras.Ackermann.folProp]
a:17 [binder, in gaia_hydras.GCanon]
A:17 [binder, in hydras.Schutte.MoreEpsilonIota]
a:17 [binder, in hydras.OrdinalNotations.OmegaOmega]
A:17 [binder, in additions.Euclidean_Chains]
a:17 [binder, in hydras.Schutte.PartialFun]
a:17 [binder, in hydras.rpo.closure]
a:17 [binder, in hydras.solutions_exercises.T1_ltNotWf]
A:17 [binder, in hydras.rpo.rpo]
a:170 [binder, in hydras.Epsilon0.T1]
a:170 [binder, in Goedel.PRrepresentable]
A:170 [binder, in hydras.rpo.more_list]
a:170 [binder, in hydras.Ackermann.model]
a:170 [binder, in gaia_hydras.nfwfgaia]
A:171 [binder, in hydras.Epsilon0.Large_Sets]
a:171 [binder, in hydras.Ackermann.primRec]
A:171 [binder, in hydras.OrdinalNotations.ON_Generic]
a:1718 [binder, in gaia_hydras.nfwfgaia]
a:1719 [binder, in gaia_hydras.nfwfgaia]
A:172 [binder, in hydras.Prelude.Iterates]
a:172 [binder, in hydras.Ackermann.model]
a:172 [binder, in hydras.Prelude.Merge_Sort]
A:172 [binder, in additions.Addition_Chains]
a:1720 [binder, in gaia_hydras.nfwfgaia]
a:1721 [binder, in gaia_hydras.nfwfgaia]
a:1722 [binder, in gaia_hydras.nfwfgaia]
a:173 [binder, in hydras.Epsilon0.T1]
a:173 [binder, in hydras.Ackermann.folProp]
a:1736 [binder, in gaia_hydras.nfwfgaia]
a:1738 [binder, in gaia_hydras.nfwfgaia]
A:174 [binder, in hydras.Ackermann.model]
a:174 [binder, in hydras.Ackermann.cPair]
a:1740 [binder, in gaia_hydras.nfwfgaia]
a:1742 [binder, in gaia_hydras.nfwfgaia]
a:1745 [binder, in gaia_hydras.nfwfgaia]
a:1749 [binder, in gaia_hydras.nfwfgaia]
a:175 [binder, in hydras.rpo.more_list]
a:175 [binder, in hydras.Ackermann.model]
a:175 [binder, in hydras.Ackermann.primRec]
a:175 [binder, in hydras.Ackermann.fol]
a:1752 [binder, in gaia_hydras.nfwfgaia]
a:176 [binder, in hydras.Ackermann.cPair]
A:176 [binder, in hydras.Schutte.Ordering_Functions]
a:176 [binder, in gaia_hydras.nfwfgaia]
a:1768 [binder, in gaia_hydras.nfwfgaia]
a:177 [binder, in hydras.Ackermann.primRec]
a:1771 [binder, in gaia_hydras.nfwfgaia]
a:1773 [binder, in gaia_hydras.nfwfgaia]
a:1777 [binder, in gaia_hydras.nfwfgaia]
a:1778 [binder, in gaia_hydras.nfwfgaia]
a:1779 [binder, in gaia_hydras.nfwfgaia]
a:178 [binder, in hydras.Epsilon0.T1]
A:178 [binder, in hydras.rpo.more_list]
a:178 [binder, in hydras.Ackermann.cPair]
a:1782 [binder, in gaia_hydras.nfwfgaia]
a:1783 [binder, in gaia_hydras.nfwfgaia]
a:179 [binder, in hydras.Ackermann.model]
a:179 [binder, in hydras.Ackermann.primRec]
A:179 [binder, in hydras.Schutte.Ordering_Functions]
a:179 [binder, in gaia_hydras.nfwfgaia]
a:1791 [binder, in gaia_hydras.nfwfgaia]
a:1796 [binder, in gaia_hydras.nfwfgaia]
a:1798 [binder, in gaia_hydras.nfwfgaia]
a:18 [binder, in Goedel.PRrepresentable]
a:18 [binder, in hydras.Prelude.Comparable]
a:18 [binder, in hydras.OrdinalNotations.ON_O]
a:18 [binder, in hydras.solutions_exercises.MorePRExamples]
A:18 [binder, in additions.Monoid_def]
a:18 [binder, in hydras.Hydra.BigBattle]
A:18 [binder, in hydras.Ackermann.fol]
A:18 [binder, in gaia_hydras.GLarge_Sets]
A:18 [binder, in additions.Addition_Chains]
A:18 [binder, in hydras.Schutte.Ordering_Functions]
A:18 [binder, in Goedel.rosser]
A:18 [binder, in hydras.rpo.closure]
a:18 [binder, in hydras.solutions_exercises.T1_ltNotWf]
A:18 [binder, in hydras.Ackermann.expressible]
a:180 [binder, in hydras.Ackermann.folProp]
a:180 [binder, in hydras.Ackermann.cPair]
a:180 [binder, in gaia_hydras.nfwfgaia]
a:1802 [binder, in gaia_hydras.nfwfgaia]
a:1804 [binder, in gaia_hydras.nfwfgaia]
a:1806 [binder, in gaia_hydras.nfwfgaia]
a:1808 [binder, in gaia_hydras.nfwfgaia]
a:181 [binder, in hydras.Epsilon0.T1]
A:181 [binder, in hydras.Ackermann.model]
a:1810 [binder, in gaia_hydras.nfwfgaia]
a:1813 [binder, in gaia_hydras.nfwfgaia]
a:1815 [binder, in gaia_hydras.nfwfgaia]
a:182 [binder, in hydras.Ackermann.model]
A:182 [binder, in additions.Euclidean_Chains]
A:182 [binder, in additions.Addition_Chains]
a:182 [binder, in gaia_hydras.nfwfgaia]
a:183 [binder, in hydras.rpo.more_list]
a:183 [binder, in hydras.Ackermann.primRec]
a:1835 [binder, in gaia_hydras.nfwfgaia]
a:1837 [binder, in gaia_hydras.nfwfgaia]
a:1839 [binder, in gaia_hydras.nfwfgaia]
A:184 [binder, in hydras.OrdinalNotations.ON_Generic]
A:184 [binder, in hydras.Schutte.Ordering_Functions]
a:1841 [binder, in gaia_hydras.nfwfgaia]
a:1843 [binder, in gaia_hydras.nfwfgaia]
a:185 [binder, in additions.Addition_Chains]
a:185 [binder, in hydras.Schutte.Ordering_Functions]
a:1856 [binder, in gaia_hydras.nfwfgaia]
a:186 [binder, in hydras.Epsilon0.T1]
A:186 [binder, in hydras.rpo.more_list]
a:186 [binder, in hydras.Ackermann.model]
a:186 [binder, in hydras.Ackermann.primRec]
a:1860 [binder, in gaia_hydras.nfwfgaia]
a:1865 [binder, in gaia_hydras.nfwfgaia]
a:1869 [binder, in gaia_hydras.nfwfgaia]
A:187 [binder, in hydras.Prelude.MoreLists]
A:187 [binder, in hydras.Schutte.Ordering_Functions]
a:1877 [binder, in gaia_hydras.nfwfgaia]
a:188 [binder, in additions.Euclidean_Chains]
a:1886 [binder, in gaia_hydras.nfwfgaia]
a:189 [binder, in hydras.Ackermann.folProp]
a:189 [binder, in hydras.Ackermann.primRec]
A:19 [binder, in hydras.Ackermann.folProof]
a:19 [binder, in Goedel.fixPoint]
a:19 [binder, in gaia_hydras.GCanon]
a:19 [binder, in hydras.Ackermann.cPair]
a:19 [binder, in gaia_hydras.GHydra]
A:19 [binder, in hydras.solutions_exercises.T1_ltNotWf]
a:19 [binder, in gaia_hydras.GHessenberg]
a:19 [binder, in hydras.Ackermann.expressible]
a:192 [binder, in hydras.Ackermann.model]
a:193 [binder, in hydras.rpo.more_list]
a:193 [binder, in additions.Addition_Chains]
a:194 [binder, in hydras.rpo.more_list]
a:194 [binder, in hydras.Ackermann.model]
a:194 [binder, in hydras.Ackermann.primRec]
A:194 [binder, in additions.Euclidean_Chains]
a:195 [binder, in hydras.rpo.more_list]
a:196 [binder, in hydras.rpo.more_list]
a:196 [binder, in hydras.Ackermann.model]
a:196 [binder, in hydras.Ackermann.folProp]
a:196 [binder, in additions.Addition_Chains]
a:197 [binder, in hydras.Epsilon0.T1]
a:197 [binder, in hydras.Ackermann.primRec]
a:198 [binder, in hydras.Ackermann.model]
A:198 [binder, in hydras.OrdinalNotations.ON_Generic]
a:2 [binder, in hydras.Hydra.O2H]
a:2 [binder, in gaia_hydras.GF_alpha]
a:2 [binder, in gaia_hydras.GPaths]
A:2 [binder, in hydras.Ackermann.model]
A:2 [binder, in additions.Euclidean_Chains]
a:2 [binder, in hydras.Ackermann.ListExt]
a:2 [binder, in hydras.Ackermann.NN]
A:20 [binder, in hydras.rpo.more_list]
a:20 [binder, in hydras.Prelude.Comparable]
a:20 [binder, in hydras.Prelude.Sort_spec]
A:20 [binder, in hydras.Prelude.DecPreOrder]
a:20 [binder, in hydras.Ackermann.folProp]
A:20 [binder, in hydras.MoreAck.AckNotPR]
A:20 [binder, in hydras.Schutte.MoreEpsilonIota]
a:20 [binder, in hydras.solutions_exercises.MultisetWf]
a:20 [binder, in hydras.Hydra.BigBattle]
A:20 [binder, in hydras.Ackermann.fol]
a:20 [binder, in additions.Monoid_instances]
a:20 [binder, in hydras.Schutte.Well_Orders]
a:20 [binder, in hydras.Ackermann.NN]
A:20 [binder, in hydras.rpo.closure]
A:200 [binder, in hydras.Ackermann.model]
a:200 [binder, in hydras.Ackermann.primRec]
a:2006 [binder, in gaia_hydras.nfwfgaia]
A:201 [binder, in hydras.Prelude.MoreLists]
A:201 [binder, in hydras.rpo.more_list]
a:201 [binder, in hydras.Ackermann.model]
a:201 [binder, in additions.Addition_Chains]
a:202 [binder, in additions.Addition_Chains]
a:2021 [binder, in gaia_hydras.nfwfgaia]
a:2025 [binder, in gaia_hydras.nfwfgaia]
a:2030 [binder, in gaia_hydras.nfwfgaia]
a:2037 [binder, in gaia_hydras.nfwfgaia]
a:2047 [binder, in gaia_hydras.nfwfgaia]
a:205 [binder, in hydras.Ackermann.model]
a:205 [binder, in hydras.Ackermann.folProp]
a:205 [binder, in hydras.Ackermann.primRec]
a:2050 [binder, in gaia_hydras.nfwfgaia]
a:2053 [binder, in gaia_hydras.nfwfgaia]
A:206 [binder, in hydras.Prelude.MoreLists]
a:206 [binder, in additions.Addition_Chains]
a:2061 [binder, in gaia_hydras.nfwfgaia]
A:207 [binder, in hydras.Ackermann.model]
a:207 [binder, in gaia_hydras.nfwfgaia]
a:2070 [binder, in gaia_hydras.nfwfgaia]
a:2073 [binder, in gaia_hydras.nfwfgaia]
a:208 [binder, in hydras.Ackermann.model]
a:208 [binder, in hydras.Ackermann.primRec]
A:208 [binder, in additions.Euclidean_Chains]
a:209 [binder, in hydras.OrdinalNotations.ON_Generic]
a:21 [binder, in hydras.Schutte.Correctness_E0]
a:21 [binder, in additions.Fib2]
A:21 [binder, in hydras.Prelude.MoreLists]
a:21 [binder, in hydras.OrdinalNotations.ON_O]
a:21 [binder, in gaia_hydras.GPaths]
a:21 [binder, in hydras.Epsilon0.Hessenberg]
A:21 [binder, in additions.Monoid_def]
a:21 [binder, in hydras.Ackermann.cPair]
A:21 [binder, in additions.Euclidean_Chains]
a:21 [binder, in hydras.Prelude.MoreDecidable]
a:21 [binder, in hydras.Ackermann.NN]
a:21 [binder, in gaia_hydras.GL_alpha]
a:21 [binder, in gaia_hydras.GHessenberg]
A:210 [binder, in hydras.rpo.more_list]
a:210 [binder, in hydras.Ackermann.codeList]
a:210 [binder, in gaia_hydras.nfwfgaia]
a:2109 [binder, in gaia_hydras.nfwfgaia]
a:211 [binder, in hydras.Epsilon0.T1]
a:211 [binder, in hydras.Ackermann.primRec]
a:211 [binder, in hydras.OrdinalNotations.ON_Generic]
a:212 [binder, in hydras.Epsilon0.T1]
a:212 [binder, in hydras.Ackermann.model]
a:212 [binder, in hydras.Ackermann.folProp]
a:213 [binder, in hydras.Ackermann.cPair]
a:213 [binder, in hydras.Ackermann.fol]
a:213 [binder, in hydras.OrdinalNotations.ON_Generic]
a:213 [binder, in gaia_hydras.nfwfgaia]
a:214 [binder, in hydras.Epsilon0.T1]
a:215 [binder, in hydras.OrdinalNotations.ON_Generic]
a:215 [binder, in hydras.Ackermann.codeList]
a:215 [binder, in hydras.Gamma0.Gamma0]
a:216 [binder, in hydras.Ackermann.primRec]
a:216 [binder, in hydras.Ackermann.fol]
a:216 [binder, in hydras.OrdinalNotations.ON_Generic]
a:216 [binder, in gaia_hydras.nfwfgaia]
a:217 [binder, in hydras.Gamma0.Gamma0]
a:218 [binder, in hydras.Epsilon0.T1]
a:218 [binder, in hydras.rpo.more_list]
a:218 [binder, in hydras.Ackermann.model]
a:218 [binder, in gaia_hydras.nfwfgaia]
a:219 [binder, in hydras.Epsilon0.T1]
a:219 [binder, in hydras.Ackermann.primRec]
A:22 [binder, in hydras.Ackermann.folProof]
a:22 [binder, in hydras.Epsilon0.T1]
a:22 [binder, in Goedel.PRrepresentable]
a:22 [binder, in hydras.Prelude.Comparable]
a:22 [binder, in hydras.OrdinalNotations.ON_O]
A:22 [binder, in Goedel.fixPoint]
a:22 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:22 [binder, in additions.fib]
A:22 [binder, in hydras.Ackermann.expressible]
a:22 [binder, in hydras.Prelude.MoreVectors]
A:220 [binder, in hydras.rpo.more_list]
a:220 [binder, in hydras.Ackermann.model]
a:221 [binder, in hydras.Ackermann.folProp]
a:221 [binder, in gaia_hydras.nfwfgaia]
a:222 [binder, in hydras.Ackermann.primRec]
A:223 [binder, in additions.Addition_Chains]
a:223 [binder, in hydras.Gamma0.Gamma0]
A:224 [binder, in additions.Euclidean_Chains]
a:225 [binder, in hydras.Epsilon0.T1]
a:225 [binder, in hydras.Ackermann.primRec]
a:226 [binder, in additions.Euclidean_Chains]
a:227 [binder, in hydras.Gamma0.Gamma0]
a:227 [binder, in gaia_hydras.nfwfgaia]
a:228 [binder, in hydras.rpo.more_list]
a:228 [binder, in hydras.Ackermann.folProp]
a:228 [binder, in hydras.Ackermann.primRec]
a:228 [binder, in additions.Addition_Chains]
a:229 [binder, in hydras.Epsilon0.T1]
a:23 [binder, in hydras.Ackermann.extEqualNat]
a:23 [binder, in hydras.rpo.more_list]
a:23 [binder, in hydras.OrdinalNotations.ON_O]
A:23 [binder, in additions.Pow_variant]
A:23 [binder, in additions.Pow]
a:23 [binder, in hydras.Prelude.Sort_spec]
a:23 [binder, in hydras.Prelude.DecPreOrder]
A:23 [binder, in hydras.Schutte.MoreEpsilonIota]
a:23 [binder, in hydras.Ackermann.cPair]
A:23 [binder, in hydras.Ackermann.fol]
a:23 [binder, in hydras.Schutte.Well_Orders]
a:23 [binder, in hydras.Gamma0.Gamma0]
a:23 [binder, in hydras.rpo.closure]
a:23 [binder, in gaia_hydras.GHessenberg]
a:230 [binder, in hydras.Epsilon0.T1]
A:230 [binder, in additions.AM]
a:230 [binder, in hydras.rpo.rpo]
a:231 [binder, in hydras.rpo.more_list]
A:231 [binder, in additions.Addition_Chains]
a:231 [binder, in hydras.Gamma0.Gamma0]
a:232 [binder, in hydras.Ackermann.primRec]
A:233 [binder, in hydras.Ackermann.checkPrf]
a:233 [binder, in gaia_hydras.nfwfgaia]
a:234 [binder, in hydras.Epsilon0.T1]
a:234 [binder, in hydras.rpo.more_list]
a:235 [binder, in hydras.Ackermann.primRec]
A:235 [binder, in additions.Euclidean_Chains]
a:235 [binder, in gaia_hydras.nfwfgaia]
a:236 [binder, in hydras.Ackermann.fol]
a:236 [binder, in additions.Addition_Chains]
a:237 [binder, in hydras.Epsilon0.T1]
A:237 [binder, in additions.AM]
a:237 [binder, in additions.Euclidean_Chains]
a:237 [binder, in gaia_hydras.nfwfgaia]
A:238 [binder, in hydras.rpo.more_list]
a:238 [binder, in hydras.Ackermann.primRec]
a:239 [binder, in hydras.Ackermann.fol]
a:24 [binder, in hydras.Prelude.More_Arith]
a:24 [binder, in hydras.OrdinalNotations.ON_O]
a:24 [binder, in gaia_hydras.GPaths]
a:24 [binder, in hydras.Epsilon0.F_omega]
a:24 [binder, in hydras.OrdinalNotations.OmegaOmega]
A:24 [binder, in hydras.Ackermann.fol]
a:24 [binder, in hydras.Schutte.PartialFun]
A:24 [binder, in additions.Addition_Chains]
a:24 [binder, in gaia_hydras.GL_alpha]
a:24 [binder, in gaia_hydras.nfwfgaia]
A:240 [binder, in additions.Addition_Chains]
a:240 [binder, in hydras.rpo.rpo]
a:241 [binder, in hydras.Ackermann.primRec]
A:241 [binder, in additions.Euclidean_Chains]
a:243 [binder, in hydras.Ackermann.cPair]
a:243 [binder, in additions.Euclidean_Chains]
a:244 [binder, in hydras.Ackermann.primRec]
a:244 [binder, in additions.Addition_Chains]
A:247 [binder, in hydras.rpo.more_list]
a:247 [binder, in additions.Addition_Chains]
a:248 [binder, in hydras.Epsilon0.T1]
a:248 [binder, in hydras.Ackermann.primRec]
a:249 [binder, in hydras.Ackermann.subAll]
A:25 [binder, in hydras.Ackermann.folProof]
a:25 [binder, in hydras.Ackermann.extEqualNat]
A:25 [binder, in hydras.rpo.more_list]
a:25 [binder, in hydras.Prelude.Comparable]
A:25 [binder, in hydras.Prelude.DecPreOrder]
a:25 [binder, in hydras.Ackermann.PA]
a:25 [binder, in hydras.rpo.closure]
a:250 [binder, in additions.Addition_Chains]
a:251 [binder, in hydras.Ackermann.primRec]
a:252 [binder, in hydras.Epsilon0.T1]
a:252 [binder, in hydras.Ackermann.folProp]
a:253 [binder, in hydras.Epsilon0.T1]
a:253 [binder, in gaia_hydras.nfwfgaia]
a:254 [binder, in hydras.Ackermann.primRec]
A:254 [binder, in additions.Addition_Chains]
a:255 [binder, in hydras.rpo.more_list]
a:255 [binder, in gaia_hydras.nfwfgaia]
a:256 [binder, in hydras.rpo.rpo]
a:257 [binder, in hydras.Epsilon0.T1]
a:257 [binder, in hydras.Ackermann.primRec]
A:259 [binder, in hydras.rpo.more_list]
a:259 [binder, in hydras.Ackermann.folProp]
a:26 [binder, in Goedel.PRrepresentable]
A:26 [binder, in hydras.Prelude.DecPreOrder_Instances]
A:26 [binder, in hydras.Prelude.MoreLists]
a:26 [binder, in additions.Compatibility]
a:26 [binder, in hydras.Prelude.Comparable]
A:26 [binder, in Goedel.fixPoint]
a:26 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:26 [binder, in hydras.Ackermann.PA]
A:26 [binder, in additions.Euclidean_Chains]
a:26 [binder, in hydras.Schutte.PartialFun]
a:26 [binder, in gaia_hydras.GHessenberg]
a:26 [binder, in hydras.MoreAck.PrimRecExamples]
A:26 [binder, in hydras.Ackermann.expressible]
a:260 [binder, in hydras.Epsilon0.T1]
a:260 [binder, in hydras.Ackermann.primRec]
a:260 [binder, in gaia_hydras.nfwfgaia]
A:261 [binder, in Goedel.PRrepresentable]
a:263 [binder, in hydras.Epsilon0.T1]
a:263 [binder, in gaia_hydras.nfwfgaia]
a:264 [binder, in hydras.Ackermann.primRec]
A:264 [binder, in additions.Addition_Chains]
A:265 [binder, in Goedel.PRrepresentable]
A:265 [binder, in hydras.Ackermann.checkPrf]
a:266 [binder, in hydras.Epsilon0.T1]
a:266 [binder, in hydras.Ackermann.cPair]
a:267 [binder, in hydras.rpo.more_list]
a:268 [binder, in hydras.Ackermann.folProp]
a:268 [binder, in hydras.Ackermann.primRec]
a:268 [binder, in hydras.Ackermann.cPair]
a:268 [binder, in hydras.Ackermann.fol]
a:268 [binder, in hydras.rpo.rpo]
a:269 [binder, in Goedel.PRrepresentable]
A:27 [binder, in hydras.Ackermann.folProof]
a:27 [binder, in hydras.Schutte.Correctness_E0]
a:27 [binder, in hydras.Prelude.More_Arith]
a:27 [binder, in hydras.Ackermann.extEqualNat]
a:27 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:27 [binder, in hydras.Epsilon0.Hessenberg]
a:27 [binder, in gaia_hydras.GCanon]
a:27 [binder, in hydras.solutions_exercises.MultisetWf]
a:27 [binder, in Goedel.rosserPA]
a:27 [binder, in hydras.OrdinalNotations.ON_Generic]
a:27 [binder, in gaia_hydras.GL_alpha]
a:27 [binder, in hydras.Ackermann.Languages]
A:27 [binder, in hydras.Prelude.MoreVectors]
a:270 [binder, in hydras.Epsilon0.T1]
a:270 [binder, in hydras.Ackermann.cPair]
a:270 [binder, in hydras.rpo.rpo]
a:271 [binder, in additions.Addition_Chains]
a:272 [binder, in hydras.Epsilon0.T1]
A:272 [binder, in Goedel.PRrepresentable]
a:272 [binder, in hydras.Ackermann.primRec]
a:272 [binder, in hydras.Ackermann.cPair]
a:272 [binder, in hydras.Ackermann.fol]
a:272 [binder, in hydras.Gamma0.Gamma0]
a:274 [binder, in hydras.Epsilon0.T1]
a:274 [binder, in hydras.Ackermann.cPair]
a:275 [binder, in hydras.Ackermann.folProp]
a:276 [binder, in hydras.Epsilon0.T1]
a:276 [binder, in hydras.Ackermann.primRec]
a:276 [binder, in hydras.Ackermann.cPair]
a:277 [binder, in hydras.Ackermann.cPair]
a:277 [binder, in hydras.Gamma0.Gamma0]
a:278 [binder, in hydras.Ackermann.cPair]
a:278 [binder, in gaia_hydras.nfwfgaia]
a:279 [binder, in hydras.Ackermann.cPair]
A:28 [binder, in Goedel.PRrepresentable]
A:28 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:28 [binder, in additions.Compatibility]
a:28 [binder, in hydras.Prelude.Comparable]
a:28 [binder, in gaia_hydras.GPaths]
a:28 [binder, in hydras.Prelude.DecPreOrder]
a:28 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:28 [binder, in hydras.Schutte.PartialFun]
a:28 [binder, in gaia_hydras.GL_alpha]
a:28 [binder, in gaia_hydras.GHessenberg]
a:280 [binder, in hydras.Ackermann.primRec]
a:280 [binder, in hydras.Ackermann.cPair]
a:280 [binder, in hydras.Ackermann.fol]
a:281 [binder, in hydras.Ackermann.cPair]
a:282 [binder, in hydras.Epsilon0.T1]
a:283 [binder, in hydras.Gamma0.Gamma0]
a:283 [binder, in gaia_hydras.nfwfgaia]
a:284 [binder, in gaia_hydras.nfwfgaia]
A:285 [binder, in Goedel.PRrepresentable]
a:285 [binder, in hydras.Ackermann.primRec]
a:287 [binder, in hydras.Epsilon0.T1]
a:287 [binder, in hydras.Gamma0.Gamma0]
a:289 [binder, in hydras.Ackermann.primRec]
A:29 [binder, in hydras.Ackermann.folProof]
a:29 [binder, in hydras.Prelude.Comparable]
A:29 [binder, in additions.Pow_variant]
A:29 [binder, in additions.Pow]
a:29 [binder, in gaia_hydras.GCanon]
A:29 [binder, in Goedel.rosserPA]
a:29 [binder, in hydras.Hydra.BigBattle]
A:29 [binder, in hydras.OrdinalNotations.ON_Generic]
a:29 [binder, in hydras.Ackermann.NN]
a:29 [binder, in hydras.Gamma0.Gamma0]
a:29 [binder, in hydras.MoreAck.PrimRecExamples]
A:291 [binder, in Goedel.PRrepresentable]
a:291 [binder, in hydras.Gamma0.Gamma0]
a:291 [binder, in gaia_hydras.nfwfgaia]
a:293 [binder, in hydras.Ackermann.primRec]
a:295 [binder, in hydras.Gamma0.Gamma0]
a:296 [binder, in gaia_hydras.nfwfgaia]
a:298 [binder, in hydras.Ackermann.primRec]
a:299 [binder, in hydras.Gamma0.Gamma0]
a:3 [binder, in additions.Compatibility]
a:3 [binder, in hydras.Ackermann.folLogic2]
a:3 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:3 [binder, in hydras.OrdinalNotations.Example_3PlusOmega]
a:3 [binder, in hydras.Ackermann.prLogic]
A:3 [binder, in additions.Euclidean_Chains]
a:3 [binder, in hydras.Ackermann.NNtheory]
a:3 [binder, in gaia_hydras.GLarge_Sets]
a:3 [binder, in hydras.Schutte.Well_Orders]
a:3 [binder, in hydras.Ackermann.folLogic3]
a:3 [binder, in hydras.Ackermann.NN]
a:30 [binder, in hydras.Epsilon0.T1]
a:30 [binder, in hydras.Ackermann.extEqualNat]
a:30 [binder, in additions.Compatibility]
a:30 [binder, in hydras.rpo.more_list]
a:30 [binder, in gaia_hydras.GPaths]
A:30 [binder, in hydras.Prelude.Sort_spec]
A:30 [binder, in hydras.Prelude.DecPreOrder]
a:30 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:30 [binder, in hydras.Ackermann.primRec]
a:30 [binder, in hydras.Ackermann.NN]
a:30 [binder, in gaia_hydras.GHessenberg]
a:302 [binder, in hydras.Ackermann.primRec]
a:306 [binder, in Goedel.PRrepresentable]
a:306 [binder, in hydras.Ackermann.primRec]
a:306 [binder, in hydras.Gamma0.Gamma0]
a:31 [binder, in Goedel.PRrepresentable]
A:31 [binder, in hydras.rpo.more_list]
a:31 [binder, in hydras.Ackermann.folLogic3]
a:310 [binder, in hydras.Epsilon0.T1]
a:310 [binder, in Goedel.PRrepresentable]
a:310 [binder, in hydras.Ackermann.primRec]
a:313 [binder, in Goedel.PRrepresentable]
a:314 [binder, in hydras.Ackermann.primRec]
a:316 [binder, in Goedel.PRrepresentable]
a:318 [binder, in Goedel.PRrepresentable]
A:318 [binder, in hydras.Ackermann.checkPrf]
a:318 [binder, in hydras.Ackermann.primRec]
a:318 [binder, in hydras.Ackermann.fol]
A:32 [binder, in hydras.Ackermann.folProof]
A:32 [binder, in Goedel.PRrepresentable]
a:32 [binder, in additions.Compatibility]
a:32 [binder, in hydras.Prelude.Restriction]
a:32 [binder, in hydras.Prelude.Comparable]
a:32 [binder, in gaia_hydras.GPaths]
a:32 [binder, in hydras.Epsilon0.Hessenberg]
A:32 [binder, in hydras.solutions_exercises.MultisetWf]
a:32 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:32 [binder, in hydras.Schutte.PartialFun]
A:32 [binder, in Goedel.codeSysPrf]
A:32 [binder, in hydras.Schutte.Ordering_Functions]
a:32 [binder, in hydras.Ackermann.Languages]
A:32 [binder, in hydras.Ackermann.expressible]
a:322 [binder, in hydras.Ackermann.primRec]
a:322 [binder, in hydras.Ackermann.fol]
A:326 [binder, in Goedel.PRrepresentable]
a:327 [binder, in hydras.Ackermann.primRec]
a:327 [binder, in gaia_hydras.nfwfgaia]
a:328 [binder, in gaia_hydras.nfwfgaia]
a:33 [binder, in hydras.Prelude.More_Arith]
a:33 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:33 [binder, in gaia_hydras.GCanon]
a:33 [binder, in hydras.Ackermann.cPair]
a:33 [binder, in hydras.Schutte.PartialFun]
a:33 [binder, in gaia_hydras.GHessenberg]
a:330 [binder, in hydras.Ackermann.fol]
A:331 [binder, in Goedel.PRrepresentable]
a:331 [binder, in hydras.Ackermann.primRec]
a:334 [binder, in gaia_hydras.nfwfgaia]
a:335 [binder, in hydras.Ackermann.primRec]
a:335 [binder, in gaia_hydras.nfwfgaia]
A:336 [binder, in Goedel.PRrepresentable]
a:336 [binder, in gaia_hydras.nfwfgaia]
a:337 [binder, in gaia_hydras.nfwfgaia]
a:338 [binder, in hydras.Ackermann.cPair]
a:338 [binder, in gaia_hydras.nfwfgaia]
a:339 [binder, in hydras.Ackermann.primRec]
A:339 [binder, in additions.Euclidean_Chains]
A:34 [binder, in hydras.Ackermann.folProof]
a:34 [binder, in additions.Compatibility]
A:34 [binder, in additions.FirstSteps]
a:34 [binder, in hydras.Prelude.Comparable]
a:34 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:34 [binder, in hydras.Ackermann.PA]
a:34 [binder, in hydras.Schutte.Well_Orders]
a:34 [binder, in hydras.Schutte.Ordering_Functions]
A:34 [binder, in hydras.Ackermann.expressible]
a:34 [binder, in hydras.Prelude.MoreVectors]
a:340 [binder, in hydras.Ackermann.cPair]
A:341 [binder, in hydras.Ackermann.subAll]
a:343 [binder, in hydras.Ackermann.primRec]
a:344 [binder, in hydras.Epsilon0.T1]
A:346 [binder, in hydras.Ackermann.subAll]
a:346 [binder, in hydras.Ackermann.cPair]
a:349 [binder, in hydras.Ackermann.cPair]
a:35 [binder, in Goedel.PRrepresentable]
A:35 [binder, in additions.AM]
a:35 [binder, in additions.Compatibility]
a:35 [binder, in hydras.Prelude.Comparable]
a:35 [binder, in additions.Pow_variant]
a:35 [binder, in additions.Pow]
A:35 [binder, in hydras.Prelude.DecPreOrder]
a:35 [binder, in hydras.Ackermann.folProp]
A:35 [binder, in hydras.solutions_exercises.MultisetWf]
a:35 [binder, in hydras.Ackermann.PA]
A:35 [binder, in additions.Euclidean_Chains]
a:35 [binder, in hydras.Schutte.Schutte_basics]
a:35 [binder, in Goedel.codeSysPrf]
A:35 [binder, in additions.Addition_Chains]
A:35 [binder, in hydras.MoreAck.FolExamples]
a:35 [binder, in hydras.Ackermann.expressible]
a:351 [binder, in Goedel.PRrepresentable]
A:351 [binder, in hydras.Ackermann.subAll]
a:352 [binder, in hydras.Ackermann.cPair]
a:353 [binder, in gaia_hydras.nfwfgaia]
A:354 [binder, in hydras.Ackermann.checkPrf]
a:355 [binder, in hydras.Epsilon0.T1]
a:355 [binder, in Goedel.PRrepresentable]
a:355 [binder, in hydras.Ackermann.cPair]
a:355 [binder, in gaia_hydras.nfwfgaia]
A:357 [binder, in hydras.Ackermann.subAll]
a:357 [binder, in gaia_hydras.nfwfgaia]
a:359 [binder, in Goedel.PRrepresentable]
a:359 [binder, in gaia_hydras.nfwfgaia]
A:36 [binder, in hydras.rpo.more_list]
a:36 [binder, in hydras.OrdinalNotations.OmegaOmega]
A:36 [binder, in additions.Monoid_def]
a:36 [binder, in hydras.Hydra.BigBattle]
a:36 [binder, in additions.Addition_Chains]
a:36 [binder, in hydras.rpo.list_permut]
A:36 [binder, in hydras.Schutte.Ordering_Functions]
a:36 [binder, in gaia_hydras.GHessenberg]
a:361 [binder, in hydras.Epsilon0.T1]
a:361 [binder, in gaia_hydras.nfwfgaia]
a:362 [binder, in hydras.Ackermann.cPair]
a:362 [binder, in gaia_hydras.nfwfgaia]
a:363 [binder, in Goedel.PRrepresentable]
a:364 [binder, in hydras.Ackermann.fol]
a:365 [binder, in hydras.Ackermann.folProp]
a:365 [binder, in hydras.Ackermann.cPair]
a:368 [binder, in hydras.Ackermann.cPair]
a:368 [binder, in hydras.Ackermann.fol]
A:37 [binder, in hydras.Ackermann.folProof]
a:37 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:37 [binder, in hydras.Ackermann.cPair]
a:37 [binder, in hydras.Ackermann.wellFormed]
a:37 [binder, in gaia_hydras.onType]
a:37 [binder, in hydras.Schutte.Well_Orders]
a:37 [binder, in Goedel.codeSysPrf]
A:37 [binder, in hydras.Schutte.Addition]
A:370 [binder, in hydras.Ackermann.subAll]
a:371 [binder, in hydras.Ackermann.cPair]
a:372 [binder, in hydras.Ackermann.folProp]
a:375 [binder, in hydras.Epsilon0.T1]
a:375 [binder, in gaia_hydras.nfwfgaia]
a:376 [binder, in hydras.Ackermann.fol]
a:376 [binder, in gaia_hydras.nfwfgaia]
a:377 [binder, in gaia_hydras.nfwfgaia]
a:38 [binder, in additions.Compatibility]
a:38 [binder, in hydras.Prelude.Comparable]
a:38 [binder, in hydras.Epsilon0.Hessenberg]
a:38 [binder, in hydras.Prelude.DecPreOrder]
a:38 [binder, in hydras.Ackermann.NN]
a:38 [binder, in hydras.Schutte.Ordering_Functions]
A:38 [binder, in hydras.MoreAck.FolExamples]
A:38 [binder, in hydras.Ackermann.expressible]
a:380 [binder, in gaia_hydras.nfwfgaia]
a:381 [binder, in hydras.Epsilon0.T1]
a:381 [binder, in hydras.Ackermann.folProp]
a:381 [binder, in gaia_hydras.nfwfgaia]
a:385 [binder, in hydras.Epsilon0.T1]
a:385 [binder, in Goedel.PRrepresentable]
a:388 [binder, in hydras.Ackermann.folProp]
a:389 [binder, in Goedel.PRrepresentable]
A:39 [binder, in hydras.Ackermann.folProof]
a:39 [binder, in Goedel.PRrepresentable]
a:39 [binder, in hydras.Epsilon0.Epsilon0rpo]
A:39 [binder, in additions.Pow_variant]
a:39 [binder, in gaia_hydras.GPaths]
A:39 [binder, in additions.Pow]
A:39 [binder, in hydras.Prelude.Sort_spec]
A:39 [binder, in hydras.Prelude.DecPreOrder]
a:39 [binder, in hydras.Ackermann.cPair]
a:39 [binder, in hydras.Ackermann.wellFormed]
a:39 [binder, in hydras.Schutte.Schutte_basics]
a:39 [binder, in gaia_hydras.onType]
a:390 [binder, in hydras.Epsilon0.T1]
a:393 [binder, in Goedel.PRrepresentable]
a:393 [binder, in hydras.Ackermann.checkPrf]
a:393 [binder, in gaia_hydras.nfwfgaia]
a:396 [binder, in gaia_hydras.nfwfgaia]
a:397 [binder, in Goedel.PRrepresentable]
a:397 [binder, in hydras.Ackermann.checkPrf]
a:398 [binder, in gaia_hydras.nfwfgaia]
a:4 [binder, in hydras.Prelude.Restriction]
A:4 [binder, in hydras.Prelude.Comparable]
a:4 [binder, in Goedel.fixPoint]
a:4 [binder, in hydras.Prelude.DecPreOrder]
a:4 [binder, in gaia_hydras.T1Bridge]
A:4 [binder, in additions.Monoid_def]
a:4 [binder, in additions.Addition_Chains]
A:4 [binder, in hydras.Schutte.Ordering_Functions]
A:40 [binder, in additions.FirstSteps]
a:40 [binder, in hydras.Prelude.Comparable]
a:40 [binder, in hydras.Schutte.PartialFun]
a:400 [binder, in Goedel.PRrepresentable]
A:401 [binder, in hydras.Epsilon0.T1]
a:402 [binder, in Goedel.PRrepresentable]
a:403 [binder, in hydras.Epsilon0.T1]
a:405 [binder, in Goedel.PRrepresentable]
A:407 [binder, in hydras.Ackermann.checkPrf]
a:408 [binder, in hydras.Ackermann.fol]
a:408 [binder, in gaia_hydras.nfwfgaia]
a:409 [binder, in Goedel.PRrepresentable]
A:41 [binder, in additions.AM]
A:41 [binder, in hydras.rpo.more_list]
a:41 [binder, in hydras.solutions_exercises.MultisetWf]
a:41 [binder, in gaia_hydras.T1Bridge]
A:41 [binder, in additions.Monoid_def]
a:41 [binder, in hydras.Ackermann.cPair]
a:41 [binder, in additions.Euclidean_Chains]
a:41 [binder, in hydras.Schutte.Schutte_basics]
a:41 [binder, in hydras.Schutte.Well_Orders]
A:41 [binder, in additions.Addition_Chains]
A:41 [binder, in hydras.MoreAck.FolExamples]
A:41 [binder, in hydras.Ackermann.expressible]
A:41 [binder, in hydras.Prelude.MoreVectors]
a:411 [binder, in gaia_hydras.nfwfgaia]
a:412 [binder, in hydras.Ackermann.fol]
a:413 [binder, in Goedel.PRrepresentable]
a:415 [binder, in hydras.Epsilon0.T1]
a:415 [binder, in gaia_hydras.nfwfgaia]
a:417 [binder, in Goedel.PRrepresentable]
a:417 [binder, in hydras.Ackermann.primRec]
a:419 [binder, in hydras.Ackermann.primRec]
a:42 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:42 [binder, in hydras.Prelude.Comparable]
a:42 [binder, in hydras.Prelude.DecPreOrder]
a:42 [binder, in additions.More_on_positive]
a:42 [binder, in gaia_hydras.T1Bridge]
A:42 [binder, in hydras.Prelude.MoreOrders]
A:42 [binder, in additions.Euclidean_Chains]
a:42 [binder, in hydras.Schutte.PartialFun]
a:42 [binder, in hydras.Ackermann.folLogic3]
a:420 [binder, in Goedel.PRrepresentable]
a:421 [binder, in hydras.Epsilon0.T1]
a:421 [binder, in hydras.Ackermann.primRec]
a:421 [binder, in hydras.Ackermann.fol]
a:422 [binder, in hydras.Epsilon0.T1]
a:422 [binder, in gaia_hydras.nfwfgaia]
a:423 [binder, in hydras.Ackermann.primRec]
a:424 [binder, in Goedel.PRrepresentable]
a:425 [binder, in hydras.Epsilon0.T1]
a:427 [binder, in hydras.Ackermann.primRec]
a:428 [binder, in hydras.Ackermann.fol]
a:429 [binder, in Goedel.PRrepresentable]
a:429 [binder, in hydras.Gamma0.Gamma0]
a:43 [binder, in hydras.Epsilon0.T1]
a:43 [binder, in Goedel.PRrepresentable]
a:43 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:43 [binder, in hydras.rpo.more_list]
a:43 [binder, in hydras.Ackermann.LNN2LNT]
a:43 [binder, in hydras.Prelude.Comparable]
a:43 [binder, in gaia_hydras.T1Bridge]
a:43 [binder, in hydras.Ackermann.PA]
a:43 [binder, in hydras.Schutte.PartialFun]
a:43 [binder, in hydras.rpo.dickson]
a:43 [binder, in hydras.rpo.list_permut]
A:43 [binder, in hydras.Schutte.Ordering_Functions]
a:430 [binder, in hydras.Ackermann.fol]
a:431 [binder, in hydras.Epsilon0.T1]
a:432 [binder, in Goedel.PRrepresentable]
a:432 [binder, in hydras.Ackermann.primRec]
a:432 [binder, in gaia_hydras.nfwfgaia]
a:435 [binder, in Goedel.PRrepresentable]
a:436 [binder, in hydras.Epsilon0.T1]
a:437 [binder, in gaia_hydras.nfwfgaia]
a:438 [binder, in Goedel.PRrepresentable]
A:438 [binder, in hydras.Ackermann.folProp]
a:439 [binder, in hydras.Ackermann.primRec]
a:44 [binder, in Goedel.PRrepresentable]
A:44 [binder, in hydras.Prelude.MoreLists]
a:44 [binder, in hydras.Prelude.Comparable]
a:44 [binder, in hydras.Epsilon0.Hessenberg]
A:44 [binder, in hydras.Prelude.DecPreOrder]
a:44 [binder, in hydras.solutions_exercises.MultisetWf]
a:44 [binder, in hydras.Ackermann.PA]
a:44 [binder, in hydras.Prelude.MoreOrders]
a:44 [binder, in hydras.Ackermann.primRec]
a:441 [binder, in gaia_hydras.nfwfgaia]
a:442 [binder, in hydras.Epsilon0.T1]
a:443 [binder, in gaia_hydras.nfwfgaia]
a:444 [binder, in hydras.Ackermann.fol]
a:445 [binder, in hydras.Ackermann.checkPrf]
a:445 [binder, in hydras.Gamma0.Gamma0]
a:445 [binder, in gaia_hydras.nfwfgaia]
a:446 [binder, in hydras.Epsilon0.T1]
a:447 [binder, in gaia_hydras.nfwfgaia]
a:448 [binder, in hydras.Epsilon0.T1]
a:448 [binder, in hydras.Ackermann.primRec]
a:449 [binder, in hydras.Ackermann.checkPrf]
a:449 [binder, in gaia_hydras.nfwfgaia]
a:45 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:45 [binder, in gaia_hydras.T1Bridge]
a:45 [binder, in hydras.Ackermann.cPair]
a:45 [binder, in Goedel.codeSysPrf]
A:45 [binder, in hydras.Schutte.Ordering_Functions]
A:45 [binder, in hydras.Ackermann.expressible]
a:450 [binder, in hydras.Gamma0.Gamma0]
a:450 [binder, in gaia_hydras.nfwfgaia]
a:451 [binder, in hydras.Epsilon0.T1]
a:451 [binder, in hydras.Gamma0.Gamma0]
a:452 [binder, in hydras.Gamma0.Gamma0]
a:452 [binder, in gaia_hydras.nfwfgaia]
a:453 [binder, in hydras.Epsilon0.T1]
A:453 [binder, in hydras.Ackermann.checkPrf]
a:453 [binder, in hydras.Ackermann.primRec]
a:457 [binder, in hydras.Gamma0.Gamma0]
a:457 [binder, in gaia_hydras.nfwfgaia]
a:458 [binder, in hydras.Epsilon0.T1]
a:459 [binder, in gaia_hydras.nfwfgaia]
a:46 [binder, in hydras.Epsilon0.T1]
A:46 [binder, in hydras.rpo.more_list]
a:46 [binder, in hydras.Prelude.Comparable]
A:46 [binder, in hydras.Prelude.Sort_spec]
a:46 [binder, in additions.More_on_positive]
A:46 [binder, in hydras.Prelude.MoreOrders]
A:46 [binder, in additions.Monoid_def]
a:46 [binder, in hydras.Schutte.PartialFun]
A:46 [binder, in hydras.Schutte.Schutte_basics]
a:46 [binder, in hydras.Schutte.Well_Orders]
A:46 [binder, in additions.Addition_Chains]
a:461 [binder, in hydras.Epsilon0.T1]
a:461 [binder, in hydras.Ackermann.primRec]
a:462 [binder, in gaia_hydras.nfwfgaia]
a:464 [binder, in hydras.Epsilon0.T1]
a:464 [binder, in gaia_hydras.nfwfgaia]
a:466 [binder, in hydras.Ackermann.primRec]
a:466 [binder, in gaia_hydras.nfwfgaia]
a:467 [binder, in hydras.Gamma0.Gamma0]
a:468 [binder, in hydras.Epsilon0.T1]
a:468 [binder, in gaia_hydras.nfwfgaia]
a:47 [binder, in Goedel.PRrepresentable]
a:47 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:47 [binder, in hydras.Prelude.More_Arith]
a:47 [binder, in hydras.Prelude.DecPreOrder]
A:47 [binder, in additions.Euclidean_Chains]
a:47 [binder, in Goedel.codeSysPrf]
a:47 [binder, in hydras.Schutte.Ordering_Functions]
a:470 [binder, in hydras.Epsilon0.T1]
a:471 [binder, in hydras.Ackermann.primRec]
a:473 [binder, in gaia_hydras.nfwfgaia]
a:475 [binder, in hydras.Ackermann.primRec]
a:476 [binder, in hydras.Epsilon0.T1]
a:478 [binder, in hydras.Epsilon0.T1]
a:48 [binder, in hydras.Epsilon0.T1]
a:48 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:48 [binder, in hydras.Prelude.Comparable]
A:48 [binder, in additions.Pow_variant]
A:48 [binder, in additions.Pow]
a:48 [binder, in hydras.Epsilon0.Hessenberg]
a:48 [binder, in gaia_hydras.GCanon]
a:48 [binder, in hydras.Ackermann.code]
a:48 [binder, in hydras.Hydra.BigBattle]
A:48 [binder, in hydras.OrdinalNotations.ON_Generic]
A:48 [binder, in hydras.Prelude.MoreVectors]
a:482 [binder, in hydras.Gamma0.Gamma0]
a:483 [binder, in hydras.Ackermann.primRec]
a:486 [binder, in hydras.Ackermann.checkPrf]
a:488 [binder, in hydras.Ackermann.primRec]
a:489 [binder, in hydras.Gamma0.Gamma0]
A:49 [binder, in hydras.Prelude.DecPreOrder]
a:49 [binder, in hydras.solutions_exercises.MultisetWf]
a:49 [binder, in gaia_hydras.T1Bridge]
a:49 [binder, in hydras.Ackermann.cPair]
a:49 [binder, in hydras.Schutte.Well_Orders]
a:49 [binder, in hydras.Ackermann.folLogic3]
A:49 [binder, in hydras.Schutte.Ordering_Functions]
a:490 [binder, in hydras.Ackermann.checkPrf]
a:490 [binder, in gaia_hydras.nfwfgaia]
a:492 [binder, in hydras.Ackermann.primRec]
a:492 [binder, in gaia_hydras.nfwfgaia]
a:494 [binder, in gaia_hydras.nfwfgaia]
a:496 [binder, in hydras.Epsilon0.T1]
a:497 [binder, in hydras.Ackermann.primRec]
a:5 [binder, in hydras.Ackermann.folProof]
a:5 [binder, in gaia_hydras.GPaths]
a:5 [binder, in hydras.Schutte.Lub]
a:5 [binder, in hydras.Prelude.Sort_spec]
a:5 [binder, in gaia_hydras.GCanon]
a:5 [binder, in hydras.Schutte.MoreEpsilonIota]
a:5 [binder, in hydras.Ackermann.prLogic]
a:5 [binder, in hydras.Schutte.Schutte_basics]
a:5 [binder, in hydras.Ackermann.NNtheory]
a:5 [binder, in gaia_hydras.GLarge_Sets]
a:5 [binder, in hydras.Ackermann.ListExt]
a:5 [binder, in hydras.Ackermann.folLogic3]
a:5 [binder, in hydras.Gamma0.Gamma0]
a:5 [binder, in hydras.MoreAck.FolExamples]
a:50 [binder, in hydras.Epsilon0.T1]
A:50 [binder, in hydras.rpo.more_list]
A:50 [binder, in hydras.Ackermann.code]
A:50 [binder, in additions.Euclidean_Chains]
a:50 [binder, in hydras.rpo.dickson]
a:50 [binder, in hydras.MoreAck.PrimRecExamples]
A:50 [binder, in hydras.Ackermann.expressible]
a:500 [binder, in hydras.Epsilon0.T1]
a:502 [binder, in hydras.Epsilon0.T1]
a:502 [binder, in hydras.Ackermann.checkPrf]
a:502 [binder, in hydras.Ackermann.primRec]
a:506 [binder, in hydras.Ackermann.checkPrf]
a:506 [binder, in hydras.Ackermann.primRec]
a:508 [binder, in hydras.Ackermann.primRec]
a:509 [binder, in hydras.Epsilon0.T1]
a:51 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:51 [binder, in hydras.Prelude.More_Arith]
a:51 [binder, in hydras.Prelude.Comparable]
a:51 [binder, in gaia_hydras.GPaths]
A:51 [binder, in additions.Monoid_def]
a:51 [binder, in hydras.Prelude.MoreVectors]
a:510 [binder, in hydras.Ackermann.checkPrf]
a:510 [binder, in hydras.Ackermann.primRec]
a:512 [binder, in hydras.Ackermann.primRec]
a:513 [binder, in hydras.Epsilon0.T1]
a:514 [binder, in hydras.Epsilon0.T1]
a:514 [binder, in hydras.Ackermann.checkPrf]
a:514 [binder, in hydras.Ackermann.primRec]
a:515 [binder, in hydras.Epsilon0.T1]
a:516 [binder, in hydras.Ackermann.primRec]
a:518 [binder, in hydras.Epsilon0.T1]
a:518 [binder, in hydras.Ackermann.primRec]
a:518 [binder, in hydras.Gamma0.Gamma0]
A:52 [binder, in additions.AM]
a:52 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:52 [binder, in hydras.Prelude.DecPreOrder]
a:52 [binder, in hydras.MoreAck.AckNotPR]
a:52 [binder, in hydras.Hydra.BigBattle]
a:52 [binder, in hydras.Schutte.PartialFun]
a:52 [binder, in hydras.Schutte.Schutte_basics]
a:520 [binder, in hydras.Epsilon0.T1]
a:520 [binder, in hydras.Ackermann.primRec]
a:520 [binder, in hydras.Gamma0.Gamma0]
a:521 [binder, in hydras.Epsilon0.T1]
a:522 [binder, in hydras.Ackermann.primRec]
a:524 [binder, in hydras.Ackermann.primRec]
a:524 [binder, in hydras.Gamma0.Gamma0]
a:526 [binder, in hydras.Epsilon0.T1]
a:526 [binder, in hydras.Ackermann.primRec]
a:527 [binder, in hydras.Gamma0.Gamma0]
a:528 [binder, in hydras.Epsilon0.T1]
a:528 [binder, in hydras.Ackermann.primRec]
a:53 [binder, in hydras.Ackermann.cPair]
A:53 [binder, in additions.Euclidean_Chains]
a:53 [binder, in hydras.Schutte.Schutte_basics]
A:53 [binder, in additions.Addition_Chains]
A:53 [binder, in hydras.Prelude.MoreVectors]
a:530 [binder, in hydras.Ackermann.primRec]
a:530 [binder, in hydras.Gamma0.Gamma0]
a:531 [binder, in hydras.Epsilon0.T1]
a:532 [binder, in hydras.Ackermann.primRec]
a:533 [binder, in hydras.Gamma0.Gamma0]
a:535 [binder, in hydras.Ackermann.primRec]
a:537 [binder, in hydras.Ackermann.primRec]
a:538 [binder, in hydras.Epsilon0.T1]
a:539 [binder, in hydras.Ackermann.primRec]
a:54 [binder, in hydras.Ackermann.LNN2LNT]
a:54 [binder, in hydras.Prelude.Comparable]
a:54 [binder, in hydras.Prelude.Sort_spec]
A:54 [binder, in hydras.Prelude.DecPreOrder]
a:54 [binder, in hydras.Ackermann.code]
a:54 [binder, in hydras.Schutte.Schutte_basics]
A:54 [binder, in hydras.Schutte.Ordering_Functions]
a:548 [binder, in hydras.Epsilon0.T1]
a:55 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:55 [binder, in hydras.rpo.more_list]
a:55 [binder, in hydras.Schutte.Schutte_basics]
a:55 [binder, in additions.Addition_Chains]
A:55 [binder, in hydras.Ackermann.expressible]
a:551 [binder, in hydras.Ackermann.primRec]
a:553 [binder, in hydras.Epsilon0.T1]
a:553 [binder, in hydras.Ackermann.primRec]
a:555 [binder, in hydras.Epsilon0.T1]
a:555 [binder, in hydras.Ackermann.primRec]
a:557 [binder, in hydras.Ackermann.primRec]
a:557 [binder, in gaia_hydras.nfwfgaia]
A:56 [binder, in hydras.rpo.more_list]
a:56 [binder, in hydras.Ackermann.LNN2LNT]
a:56 [binder, in gaia_hydras.GCanon]
a:56 [binder, in hydras.Ackermann.code]
a:56 [binder, in gaia_hydras.T1Bridge]
A:56 [binder, in additions.Monoid_def]
a:56 [binder, in hydras.Schutte.Schutte_basics]
a:56 [binder, in hydras.rpo.dickson]
a:56 [binder, in hydras.Schutte.Ordering_Functions]
a:562 [binder, in hydras.Epsilon0.T1]
a:562 [binder, in gaia_hydras.nfwfgaia]
a:563 [binder, in hydras.Gamma0.Gamma0]
a:564 [binder, in hydras.Ackermann.checkPrf]
a:564 [binder, in gaia_hydras.nfwfgaia]
a:565 [binder, in hydras.Gamma0.Gamma0]
a:566 [binder, in hydras.Ackermann.checkPrf]
a:567 [binder, in hydras.Ackermann.checkPrf]
a:568 [binder, in hydras.Ackermann.checkPrf]
a:569 [binder, in hydras.Gamma0.Gamma0]
a:569 [binder, in gaia_hydras.nfwfgaia]
a:57 [binder, in hydras.Prelude.Comparable]
a:57 [binder, in gaia_hydras.GPaths]
a:57 [binder, in hydras.Prelude.DecPreOrder]
A:57 [binder, in additions.Monoid_def]
a:57 [binder, in hydras.Ackermann.primRec]
a:57 [binder, in hydras.Ackermann.cPair]
A:57 [binder, in additions.Addition_Chains]
a:57 [binder, in hydras.Prelude.MoreVectors]
a:571 [binder, in hydras.Epsilon0.T1]
a:571 [binder, in hydras.Gamma0.Gamma0]
a:575 [binder, in hydras.Epsilon0.T1]
a:579 [binder, in hydras.Epsilon0.T1]
a:579 [binder, in hydras.Gamma0.Gamma0]
A:58 [binder, in Goedel.PRrepresentable]
a:58 [binder, in hydras.Ackermann.LNN2LNT]
a:58 [binder, in gaia_hydras.GPaths]
a:58 [binder, in hydras.Ackermann.code]
a:58 [binder, in hydras.Ackermann.cPair]
A:58 [binder, in Goedel.codeSysPrf]
a:58 [binder, in hydras.rpo.dickson]
A:58 [binder, in hydras.Ackermann.expressible]
a:585 [binder, in hydras.Gamma0.Gamma0]
a:586 [binder, in hydras.Ackermann.primRec]
a:587 [binder, in hydras.Gamma0.Gamma0]
a:588 [binder, in hydras.Ackermann.primRec]
a:59 [binder, in hydras.Prelude.DecPreOrder_Instances]
A:59 [binder, in additions.AM]
a:59 [binder, in hydras.Prelude.Comparable]
A:59 [binder, in hydras.Prelude.DecPreOrder]
a:59 [binder, in hydras.solutions_exercises.MultisetWf]
a:59 [binder, in hydras.Ackermann.code]
A:59 [binder, in hydras.Schutte.Ordering_Functions]
a:59 [binder, in hydras.Ackermann.expressible]
a:590 [binder, in hydras.Ackermann.primRec]
a:592 [binder, in hydras.Ackermann.primRec]
a:592 [binder, in hydras.Gamma0.Gamma0]
a:594 [binder, in hydras.Ackermann.primRec]
a:595 [binder, in gaia_hydras.nfwfgaia]
a:596 [binder, in hydras.Ackermann.primRec]
a:596 [binder, in hydras.Gamma0.Gamma0]
a:597 [binder, in hydras.Epsilon0.T1]
a:598 [binder, in hydras.Ackermann.primRec]
a:6 [binder, in hydras.OrdinalNotations.ON_O]
A:6 [binder, in hydras.Ackermann.model]
A:6 [binder, in hydras.Schutte.MoreEpsilonIota]
a:6 [binder, in hydras.solutions_exercises.MultisetWf]
a:6 [binder, in hydras.solutions_exercises.MorePRExamples]
A:6 [binder, in additions.Monoid_def]
a:6 [binder, in hydras.Ackermann.cPair]
A:6 [binder, in gaia_hydras.GLarge_Sets]
a:6 [binder, in hydras.Schutte.Well_Orders]
A:6 [binder, in hydras.Schutte.Ordering_Functions]
a:6 [binder, in hydras.MoreAck.PrimRecExamples]
a:60 [binder, in hydras.Schutte.Correctness_E0]
a:60 [binder, in hydras.rpo.more_list]
A:60 [binder, in hydras.Prelude.Sort_spec]
a:60 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:60 [binder, in hydras.Ackermann.cPair]
a:60 [binder, in hydras.Hydra.BigBattle]
a:60 [binder, in hydras.rpo.dickson]
a:601 [binder, in hydras.Epsilon0.T1]
a:604 [binder, in hydras.Gamma0.Gamma0]
a:606 [binder, in hydras.Gamma0.Gamma0]
a:61 [binder, in hydras.Ackermann.LNN2LNT]
a:61 [binder, in hydras.Prelude.Comparable]
a:61 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:61 [binder, in hydras.Ackermann.code]
a:61 [binder, in gaia_hydras.T1Bridge]
A:61 [binder, in additions.Monoid_def]
a:61 [binder, in hydras.Ackermann.primRec]
a:61 [binder, in hydras.Ackermann.cPair]
A:61 [binder, in additions.Euclidean_Chains]
a:61 [binder, in hydras.Schutte.Ordering_Functions]
A:61 [binder, in hydras.Prelude.MoreVectors]
a:610 [binder, in gaia_hydras.nfwfgaia]
a:614 [binder, in gaia_hydras.nfwfgaia]
a:618 [binder, in hydras.Epsilon0.T1]
A:62 [binder, in Goedel.PRrepresentable]
a:62 [binder, in hydras.Prelude.DecPreOrder]
a:62 [binder, in hydras.solutions_exercises.MultisetWf]
a:62 [binder, in hydras.Ackermann.cPair]
a:62 [binder, in hydras.Schutte.Schutte_basics]
a:62 [binder, in hydras.OrdinalNotations.ON_Generic]
a:62 [binder, in additions.Addition_Chains]
A:62 [binder, in hydras.Ackermann.expressible]
a:620 [binder, in hydras.Gamma0.Gamma0]
a:626 [binder, in hydras.Epsilon0.T1]
a:626 [binder, in gaia_hydras.nfwfgaia]
a:629 [binder, in gaia_hydras.nfwfgaia]
A:63 [binder, in hydras.rpo.more_list]
a:63 [binder, in hydras.Prelude.Comparable]
a:63 [binder, in hydras.Ackermann.code]
a:63 [binder, in hydras.Hydra.BigBattle]
A:63 [binder, in additions.Addition_Chains]
a:633 [binder, in hydras.Gamma0.Gamma0]
a:637 [binder, in hydras.Gamma0.Gamma0]
a:64 [binder, in hydras.Epsilon0.T1]
a:64 [binder, in hydras.Ackermann.subAll]
a:64 [binder, in gaia_hydras.GPaths]
A:64 [binder, in hydras.Prelude.DecPreOrder]
a:64 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:64 [binder, in hydras.Ackermann.code]
a:64 [binder, in hydras.Schutte.Schutte_basics]
a:64 [binder, in hydras.rpo.list_permut]
A:64 [binder, in hydras.Schutte.Ordering_Functions]
a:64 [binder, in hydras.MoreAck.PrimRecExamples]
A:65 [binder, in Goedel.PRrepresentable]
a:65 [binder, in hydras.Prelude.Comparable]
a:65 [binder, in hydras.Epsilon0.Hessenberg]
a:65 [binder, in hydras.Ackermann.primRec]
A:65 [binder, in hydras.Schutte.PartialFun]
A:653 [binder, in hydras.Ackermann.checkPrf]
a:654 [binder, in gaia_hydras.nfwfgaia]
a:655 [binder, in hydras.Ackermann.checkPrf]
a:656 [binder, in gaia_hydras.nfwfgaia]
a:657 [binder, in hydras.Ackermann.checkPrf]
a:658 [binder, in gaia_hydras.nfwfgaia]
a:659 [binder, in hydras.Ackermann.checkPrf]
a:66 [binder, in hydras.Ackermann.code]
a:66 [binder, in gaia_hydras.T1Bridge]
a:66 [binder, in hydras.Schutte.Schutte_basics]
a:66 [binder, in hydras.MoreAck.PrimRecExamples]
A:66 [binder, in hydras.Ackermann.expressible]
a:661 [binder, in hydras.Ackermann.checkPrf]
a:663 [binder, in hydras.Ackermann.checkPrf]
a:665 [binder, in hydras.Ackermann.checkPrf]
a:667 [binder, in hydras.Ackermann.checkPrf]
a:669 [binder, in hydras.Ackermann.checkPrf]
a:669 [binder, in hydras.Gamma0.Gamma0]
a:67 [binder, in hydras.Ackermann.subAll]
a:67 [binder, in hydras.Prelude.Comparable]
a:67 [binder, in hydras.Prelude.DecPreOrder]
a:67 [binder, in hydras.Hydra.BigBattle]
A:67 [binder, in hydras.OrdinalNotations.ON_Generic]
A:67 [binder, in hydras.Schutte.Ordering_Functions]
a:67 [binder, in hydras.rpo.rpo]
A:67 [binder, in hydras.Prelude.MoreVectors]
a:670 [binder, in gaia_hydras.nfwfgaia]
a:671 [binder, in hydras.Ackermann.checkPrf]
a:671 [binder, in hydras.Gamma0.Gamma0]
a:673 [binder, in hydras.Ackermann.checkPrf]
a:675 [binder, in hydras.Ackermann.checkPrf]
a:677 [binder, in hydras.Ackermann.checkPrf]
a:678 [binder, in hydras.Ackermann.primRec]
A:68 [binder, in hydras.Prelude.Iterates]
A:68 [binder, in hydras.rpo.more_list]
a:68 [binder, in gaia_hydras.GPaths]
A:68 [binder, in hydras.Prelude.Sort_spec]
a:68 [binder, in gaia_hydras.GCanon]
A:68 [binder, in hydras.solutions_exercises.MultisetWf]
a:68 [binder, in hydras.Ackermann.code]
A:68 [binder, in additions.Euclidean_Chains]
a:682 [binder, in hydras.Ackermann.primRec]
a:689 [binder, in hydras.Gamma0.Gamma0]
A:69 [binder, in Goedel.PRrepresentable]
a:69 [binder, in hydras.Prelude.Comparable]
a:69 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:69 [binder, in hydras.Schutte.Schutte_basics]
a:69 [binder, in hydras.Ackermann.folLogic3]
a:69 [binder, in hydras.rpo.dickson]
a:69 [binder, in hydras.Schutte.Ordering_Functions]
a:69 [binder, in hydras.Schutte.Addition]
A:69 [binder, in hydras.Prelude.MoreVectors]
a:694 [binder, in hydras.Ackermann.primRec]
a:695 [binder, in gaia_hydras.nfwfgaia]
a:697 [binder, in hydras.Ackermann.primRec]
a:697 [binder, in gaia_hydras.nfwfgaia]
a:7 [binder, in hydras.Gamma0.T2]
A:7 [binder, in hydras.Prelude.Iterates]
a:7 [binder, in hydras.Ackermann.folLogic2]
a:7 [binder, in Goedel.fixPoint]
A:7 [binder, in hydras.Prelude.DecPreOrder]
a:7 [binder, in hydras.Schutte.MoreEpsilonIota]
a:7 [binder, in gaia_hydras.T1Bridge]
a:7 [binder, in hydras.Ackermann.prLogic]
a:7 [binder, in hydras.Ackermann.NNtheory]
a:7 [binder, in gaia_hydras.GLarge_Sets]
A:7 [binder, in hydras.OrdinalNotations.ON_Generic]
a:7 [binder, in gaia_hydras.T2Bridge]
a:7 [binder, in hydras.MoreAck.PrimRecExamples]
A:7 [binder, in hydras.Prelude.MoreVectors]
A:70 [binder, in hydras.Prelude.DecPreOrder]
a:70 [binder, in gaia_hydras.GCanon]
a:70 [binder, in hydras.Ackermann.code]
a:70 [binder, in hydras.Ackermann.primRec]
a:707 [binder, in hydras.Epsilon0.T1]
a:707 [binder, in gaia_hydras.nfwfgaia]
a:71 [binder, in hydras.Epsilon0.T1]
A:71 [binder, in hydras.rpo.more_list]
a:71 [binder, in hydras.Prelude.Comparable]
a:71 [binder, in gaia_hydras.GPaths]
a:71 [binder, in hydras.Hydra.BigBattle]
a:71 [binder, in hydras.Ackermann.folLogic3]
A:71 [binder, in additions.Addition_Chains]
A:71 [binder, in hydras.Schutte.Ordering_Functions]
A:71 [binder, in Goedel.rosser]
A:71 [binder, in hydras.Ackermann.expressible]
a:71 [binder, in hydras.Prelude.MoreVectors]
a:717 [binder, in gaia_hydras.nfwfgaia]
a:718 [binder, in gaia_hydras.nfwfgaia]
a:72 [binder, in hydras.Ackermann.subAll]
A:72 [binder, in additions.AM]
A:72 [binder, in hydras.Prelude.Iterates]
A:72 [binder, in hydras.rpo.more_list]
a:72 [binder, in hydras.Prelude.Comparable]
a:72 [binder, in hydras.Epsilon0.Hessenberg]
a:72 [binder, in hydras.Ackermann.code]
a:72 [binder, in gaia_hydras.T1Bridge]
A:72 [binder, in hydras.Schutte.PartialFun]
a:72 [binder, in hydras.Schutte.Schutte_basics]
a:720 [binder, in gaia_hydras.nfwfgaia]
a:722 [binder, in hydras.Epsilon0.T1]
a:723 [binder, in gaia_hydras.nfwfgaia]
a:727 [binder, in gaia_hydras.nfwfgaia]
a:729 [binder, in gaia_hydras.nfwfgaia]
A:73 [binder, in Goedel.PRrepresentable]
a:73 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:73 [binder, in hydras.Prelude.DecPreOrder]
a:73 [binder, in hydras.OrdinalNotations.ON_Generic]
A:73 [binder, in hydras.Prelude.MoreVectors]
a:731 [binder, in gaia_hydras.nfwfgaia]
a:732 [binder, in hydras.Epsilon0.T1]
a:733 [binder, in gaia_hydras.nfwfgaia]
a:735 [binder, in hydras.Epsilon0.T1]
a:737 [binder, in gaia_hydras.nfwfgaia]
a:739 [binder, in gaia_hydras.nfwfgaia]
a:74 [binder, in hydras.Prelude.Comparable]
A:74 [binder, in hydras.Prelude.Sort_spec]
a:74 [binder, in hydras.Ackermann.code]
A:74 [binder, in additions.fib]
a:747 [binder, in gaia_hydras.nfwfgaia]
a:749 [binder, in gaia_hydras.nfwfgaia]
a:75 [binder, in hydras.Gamma0.T2]
a:75 [binder, in gaia_hydras.GPaths]
a:75 [binder, in additions.Euclidean_Chains]
a:75 [binder, in hydras.Schutte.Schutte_basics]
a:752 [binder, in gaia_hydras.nfwfgaia]
a:756 [binder, in hydras.Ackermann.checkPrf]
a:756 [binder, in gaia_hydras.nfwfgaia]
a:758 [binder, in gaia_hydras.nfwfgaia]
A:76 [binder, in hydras.Prelude.Iterates]
a:76 [binder, in hydras.Prelude.Comparable]
a:76 [binder, in additions.Pow_variant]
A:76 [binder, in hydras.Prelude.DecPreOrder]
a:76 [binder, in hydras.Ackermann.fol]
A:76 [binder, in hydras.Schutte.Ordering_Functions]
a:760 [binder, in hydras.Ackermann.checkPrf]
a:760 [binder, in gaia_hydras.nfwfgaia]
a:77 [binder, in hydras.Epsilon0.T1]
a:77 [binder, in hydras.Ackermann.subAll]
a:77 [binder, in hydras.Epsilon0.Epsilon0rpo]
a:77 [binder, in hydras.Epsilon0.Hessenberg]
A:77 [binder, in Goedel.codeSysPrf]
a:77 [binder, in hydras.Schutte.Ordering_Functions]
a:776 [binder, in gaia_hydras.nfwfgaia]
a:779 [binder, in gaia_hydras.nfwfgaia]
a:78 [binder, in hydras.Gamma0.T2]
A:78 [binder, in hydras.rpo.more_list]
a:78 [binder, in hydras.Prelude.Comparable]
a:78 [binder, in gaia_hydras.T1Bridge]
a:78 [binder, in hydras.Schutte.Schutte_basics]
a:78 [binder, in hydras.OrdinalNotations.ON_Generic]
A:78 [binder, in hydras.Prelude.MoreVectors]
a:783 [binder, in gaia_hydras.nfwfgaia]
a:786 [binder, in hydras.Ackermann.checkPrf]
a:786 [binder, in gaia_hydras.nfwfgaia]
a:788 [binder, in hydras.Ackermann.checkPrf]
a:79 [binder, in hydras.Ackermann.subAll]
a:79 [binder, in additions.Pow]
a:79 [binder, in hydras.Prelude.DecPreOrder]
a:79 [binder, in hydras.Schutte.Schutte_basics]
a:79 [binder, in hydras.Ackermann.folLogic3]
a:79 [binder, in hydras.rpo.list_permut]
A:79 [binder, in hydras.Schutte.Ordering_Functions]
a:792 [binder, in gaia_hydras.nfwfgaia]
a:793 [binder, in hydras.Ackermann.checkPrf]
a:799 [binder, in hydras.Ackermann.checkPrf]
A:8 [binder, in hydras.Prelude.DecPreOrder_Instances]
a:8 [binder, in hydras.Ackermann.extEqualNat]
A:8 [binder, in hydras.rpo.more_list]
a:8 [binder, in hydras.OrdinalNotations.ON_O]
a:8 [binder, in gaia_hydras.GCanon]
a:8 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:8 [binder, in hydras.Ackermann.prLogic]
A:8 [binder, in additions.Euclidean_Chains]
a:8 [binder, in hydras.Schutte.PartialFun]
A:8 [binder, in gaia_hydras.GLarge_Sets]
a:8 [binder, in hydras.rpo.dickson]
a:8 [binder, in hydras.MoreAck.FolExamples]
A:8 [binder, in hydras.Ackermann.expressible]
A:80 [binder, in hydras.Prelude.Iterates]
a:80 [binder, in hydras.Prelude.Comparable]
a:80 [binder, in gaia_hydras.GPaths]
a:80 [binder, in hydras.Ackermann.cPair]
A:80 [binder, in hydras.Prelude.MoreVectors]
a:807 [binder, in hydras.Ackermann.checkPrf]
a:81 [binder, in hydras.Ackermann.subAll]
A:81 [binder, in hydras.Prelude.DecPreOrder]
a:81 [binder, in gaia_hydras.T1Bridge]
a:81 [binder, in hydras.Ackermann.cPair]
a:81 [binder, in hydras.Ackermann.fol]
a:81 [binder, in hydras.Schutte.Schutte_basics]
A:81 [binder, in additions.fib]
A:81 [binder, in hydras.OrdinalNotations.ON_Generic]
a:81 [binder, in hydras.Ackermann.folLogic3]
A:81 [binder, in hydras.Schutte.Ordering_Functions]
a:811 [binder, in hydras.Ackermann.checkPrf]
a:819 [binder, in hydras.Ackermann.codeSubFormula]
a:82 [binder, in hydras.Epsilon0.T1]
A:82 [binder, in additions.AM]
a:82 [binder, in hydras.Prelude.Comparable]
A:82 [binder, in hydras.Schutte.PartialFun]
A:82 [binder, in additions.Addition_Chains]
a:822 [binder, in hydras.Ackermann.codeSubFormula]
a:826 [binder, in hydras.Ackermann.codeSubFormula]
a:83 [binder, in hydras.Ackermann.cPair]
a:83 [binder, in hydras.Schutte.Schutte_basics]
a:830 [binder, in gaia_hydras.nfwfgaia]
a:84 [binder, in hydras.Prelude.Comparable]
A:84 [binder, in hydras.Prelude.DecPreOrder]
a:84 [binder, in gaia_hydras.T1Bridge]
A:84 [binder, in Goedel.codeSysPrf]
A:84 [binder, in hydras.Prelude.MoreVectors]
a:842 [binder, in hydras.Ackermann.codeSubFormula]
a:842 [binder, in gaia_hydras.nfwfgaia]
a:845 [binder, in hydras.Ackermann.codeSubFormula]
a:848 [binder, in hydras.Ackermann.codeSubFormula]
a:849 [binder, in hydras.Ackermann.checkPrf]
A:85 [binder, in Goedel.PRrepresentable]
a:85 [binder, in hydras.Ackermann.cPair]
a:85 [binder, in hydras.Ackermann.folLogic3]
a:851 [binder, in hydras.Ackermann.checkPrf]
a:852 [binder, in hydras.Ackermann.codeSubFormula]
a:852 [binder, in gaia_hydras.nfwfgaia]
a:853 [binder, in hydras.Ackermann.checkPrf]
a:854 [binder, in hydras.Ackermann.codeSubFormula]
a:855 [binder, in hydras.Ackermann.checkPrf]
a:856 [binder, in hydras.Ackermann.codeSubFormula]
a:86 [binder, in hydras.Hydra.O2H]
a:86 [binder, in hydras.Prelude.Comparable]
a:86 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:86 [binder, in gaia_hydras.T1Bridge]
a:86 [binder, in gaia_hydras.nfwfgaia]
a:860 [binder, in gaia_hydras.nfwfgaia]
a:865 [binder, in gaia_hydras.nfwfgaia]
a:87 [binder, in hydras.Epsilon0.T1]
A:87 [binder, in hydras.Prelude.DecPreOrder]
a:87 [binder, in hydras.Ackermann.cPair]
a:87 [binder, in additions.Addition_Chains]
A:88 [binder, in hydras.rpo.more_list]
a:88 [binder, in hydras.Prelude.Comparable]
a:88 [binder, in hydras.Epsilon0.Hessenberg]
a:88 [binder, in gaia_hydras.T1Bridge]
A:88 [binder, in additions.Euclidean_Chains]
A:88 [binder, in hydras.Schutte.PartialFun]
a:88 [binder, in hydras.Schutte.Schutte_basics]
A:88 [binder, in Goedel.codeSysPrf]
A:88 [binder, in additions.Addition_Chains]
a:88 [binder, in hydras.MoreAck.PrimRecExamples]
A:88 [binder, in hydras.Prelude.MoreVectors]
a:885 [binder, in gaia_hydras.nfwfgaia]
A:89 [binder, in Goedel.PRrepresentable]
a:89 [binder, in hydras.Prelude.Comparable]
a:89 [binder, in gaia_hydras.T1Bridge]
a:89 [binder, in hydras.Ackermann.cPair]
a:894 [binder, in gaia_hydras.nfwfgaia]
a:898 [binder, in gaia_hydras.nfwfgaia]
a:9 [binder, in gaia_hydras.T1Choice]
a:9 [binder, in hydras.Prelude.Restriction]
a:9 [binder, in additions.FirstSteps]
a:9 [binder, in hydras.Prelude.Comparable]
a:9 [binder, in gaia_hydras.GPaths]
a:9 [binder, in hydras.Ackermann.PAtheory]
a:9 [binder, in hydras.solutions_exercises.MultisetWf]
a:9 [binder, in hydras.OrdinalNotations.OmegaOmega]
a:9 [binder, in gaia_hydras.T1Bridge]
a:9 [binder, in hydras.Ackermann.prLogic]
a:9 [binder, in hydras.Ackermann.NNtheory]
a:9 [binder, in gaia_hydras.GLarge_Sets]
a:9 [binder, in hydras.Prelude.MoreDecidable]
a:9 [binder, in gaia_hydras.T2Bridge]
a:9 [binder, in hydras.Gamma0.Gamma0]
A:9 [binder, in hydras.Prelude.MoreVectors]
a:90 [binder, in hydras.Gamma0.T2]
a:90 [binder, in hydras.Epsilon0.Hessenberg]
a:90 [binder, in gaia_hydras.T1Bridge]
a:90 [binder, in hydras.Schutte.Schutte_basics]
a:90 [binder, in additions.fib]
a:902 [binder, in gaia_hydras.nfwfgaia]
a:91 [binder, in hydras.Prelude.Comparable]
a:91 [binder, in hydras.Prelude.DecPreOrder]
a:91 [binder, in gaia_hydras.T1Bridge]
a:91 [binder, in hydras.Ackermann.cPair]
a:91 [binder, in hydras.OrdinalNotations.ON_Generic]
a:91 [binder, in hydras.Schutte.Ordering_Functions]
a:910 [binder, in gaia_hydras.nfwfgaia]
A:92 [binder, in Goedel.PRrepresentable]
a:92 [binder, in hydras.Epsilon0.Hessenberg]
a:92 [binder, in gaia_hydras.T1Bridge]
a:92 [binder, in hydras.Schutte.Schutte_basics]
a:92 [binder, in hydras.Prelude.MoreVectors]
a:923 [binder, in gaia_hydras.nfwfgaia]
a:925 [binder, in gaia_hydras.nfwfgaia]
a:927 [binder, in gaia_hydras.nfwfgaia]
a:929 [binder, in gaia_hydras.nfwfgaia]
A:93 [binder, in additions.AM]
a:93 [binder, in hydras.Prelude.Comparable]
A:93 [binder, in hydras.Prelude.DecPreOrder]
a:93 [binder, in hydras.Prelude.Merge_Sort]
a:93 [binder, in gaia_hydras.T1Bridge]
a:93 [binder, in hydras.Ackermann.cPair]
A:93 [binder, in hydras.OrdinalNotations.ON_Generic]
A:93 [binder, in Goedel.codeSysPrf]
A:93 [binder, in additions.Addition_Chains]
a:931 [binder, in gaia_hydras.nfwfgaia]
a:938 [binder, in gaia_hydras.nfwfgaia]
a:94 [binder, in hydras.Epsilon0.Hessenberg]
a:94 [binder, in hydras.Ackermann.folLogic3]
a:944 [binder, in gaia_hydras.nfwfgaia]
a:95 [binder, in gaia_hydras.T1Bridge]
a:95 [binder, in hydras.Ackermann.cPair]
a:955 [binder, in gaia_hydras.nfwfgaia]
a:956 [binder, in gaia_hydras.nfwfgaia]
a:958 [binder, in gaia_hydras.nfwfgaia]
A:96 [binder, in Goedel.PRrepresentable]
A:96 [binder, in hydras.rpo.more_list]
a:96 [binder, in hydras.Prelude.DecPreOrder]
a:960 [binder, in gaia_hydras.nfwfgaia]
a:962 [binder, in gaia_hydras.nfwfgaia]
a:964 [binder, in gaia_hydras.nfwfgaia]
a:97 [binder, in hydras.Prelude.Comparable]
a:97 [binder, in hydras.Epsilon0.Hessenberg]
a:97 [binder, in gaia_hydras.T1Bridge]
A:98 [binder, in additions.AM]
A:98 [binder, in hydras.Hydra.Hydra_Lemmas]
a:988 [binder, in gaia_hydras.nfwfgaia]
A:99 [binder, in additions.Euclidean_Chains]
a:99 [binder, in hydras.Schutte.Schutte_basics]
a:994 [binder, in gaia_hydras.nfwfgaia]

B

Bad [module, in additions.FirstSteps]
Bad [module, in hydras.Hydra.Hydra_Examples]
Bad [module, in additions.Euclidean_Chains]
Bad [module, in additions.Monoid_instances]
bad [definition, in hydras.OrdinalNotations.ON_Finite]
BadExample [section, in hydras.MoreAck.BadSubst]
BadExample.F [variable, in hydras.MoreAck.BadSubst]
BadExample.F1 [variable, in hydras.MoreAck.BadSubst]
BadSubst [module, in hydras.MoreAck.BadSubst]
BadSubst [library]
BadSubstF2 [module, in hydras.MoreAck.BadSubst]
BadSubstF2.substF [definition, in hydras.MoreAck.BadSubst]
BadSubst.substF [definition, in hydras.MoreAck.BadSubst]
bad_term [definition, in hydras.Epsilon0.T1]
Bad.correct_exp_too_strong [lemma, in additions.FirstSteps]
Bad.correct_expt_function [definition, in additions.FirstSteps]
Bad.CounterExample [section, in additions.FirstSteps]
Bad.CounterExample.mul [variable, in additions.FirstSteps]
Bad.CounterExample.one [variable, in additions.FirstSteps]
Bad.fact [definition, in additions.Monoid_instances]
Bad.Fchain_correct [definition, in additions.Euclidean_Chains]
Bad.F3_correct [lemma, in additions.Euclidean_Chains]
Bad.height_lt_size [lemma, in hydras.Hydra.Hydra_Examples]
Bad.int63_from_nat [definition, in additions.Monoid_instances]
Bad.mul_not_associative [lemma, in additions.FirstSteps]
Bad.one_not_neutral [lemma, in additions.FirstSteps]
Bad2 [module, in additions.Euclidean_Chains]
Bad2.Fcompose_correct [lemma, in additions.Euclidean_Chains]
Bad3 [module, in additions.Euclidean_Chains]
Bad3.Fchain_proper_bad_prf [projection, in additions.Euclidean_Chains]
Bad3.Fchain_proper [record, in additions.Euclidean_Chains]
Bad3.Fchain_proper_bad_prf [constructor, in additions.Euclidean_Chains]
Bad3.Fchain_proper [inductive, in additions.Euclidean_Chains]
Bad3.Fcompose_proper [instance, in additions.Euclidean_Chains]
Bad4 [module, in additions.Euclidean_Chains]
Bad4.Fplus [definition, in additions.Euclidean_Chains]
Bad4.F23 [definition, in additions.Euclidean_Chains]
Bad4.F23_ok [lemma, in additions.Euclidean_Chains]
bare_syntax [section, in hydras.MoreAck.LNN_Examples]
battle [abbreviation, in hydras.Hydra.Hydra_Definitions]
Battle [record, in hydras.Hydra.Hydra_Definitions]
battle_length_notPR.m [variable, in hydras.Hydra.Hydra_Theorems]
battle_length_notPR.h [variable, in hydras.Hydra.Hydra_Theorems]
battle_length_notPR.alpha [variable, in hydras.Hydra.Hydra_Theorems]
battle_length_notPR [section, in hydras.Hydra.Hydra_Theorems]
battle_length_std_Hardy [lemma, in hydras.Hydra.Hydra_Theorems]
battle_length_std [lemma, in hydras.Hydra.Battle_length]
Battle_length.l [variable, in hydras.Hydra.Battle_length]
Battle_length.Hk [variable, in hydras.Hydra.Battle_length]
Battle_length.k [variable, in hydras.Hydra.Battle_length]
Battle_length.Halpha [variable, in hydras.Hydra.Battle_length]
Battle_length.alpha [variable, in hydras.Hydra.Battle_length]
Battle_length [section, in hydras.Hydra.Battle_length]
battle_example [lemma, in hydras.Hydra.KP_example]
battle_length [definition, in hydras.Hydra.Hydra_Definitions]
battle_ok [projection, in hydras.Hydra.Hydra_Definitions]
battle_rel [projection, in hydras.Hydra.Hydra_Definitions]
Battle_length [library]
Bbeta_denum [lemma, in hydras.Schutte.Ordering_Functions]
beta [definition, in Goedel.PRrepresentable]
betaEquiv [lemma, in Goedel.PRrepresentable]
betaFormula [definition, in Goedel.PRrepresentable]
betaRepresentable [lemma, in Goedel.PRrepresentable]
betaThm2 [lemma, in Goedel.PRrepresentable]
betaThm3 [lemma, in Goedel.PRrepresentable]
betaThm4 [lemma, in Goedel.PRrepresentable]
betaThm5 [lemma, in Goedel.PRrepresentable]
beta_def [lemma, in Goedel.PRrepresentable]
beta_h [definition, in hydras.Hydra.Epsilon0_Needed_Generic]
beta':101 [binder, in hydras.Epsilon0.T1]
beta':105 [binder, in hydras.Epsilon0.T1]
beta':119 [binder, in hydras.Schutte.Ordering_Functions]
beta':138 [binder, in hydras.Gamma0.Gamma0]
beta':195 [binder, in hydras.Epsilon0.T1]
beta':314 [binder, in hydras.Epsilon0.Paths]
beta':326 [binder, in hydras.Epsilon0.T1]
beta':331 [binder, in hydras.Epsilon0.T1]
beta':335 [binder, in hydras.Epsilon0.T1]
beta':463 [binder, in hydras.Gamma0.Gamma0]
beta':506 [binder, in hydras.Gamma0.Gamma0]
beta':510 [binder, in hydras.Gamma0.Gamma0]
beta':680 [binder, in hydras.Epsilon0.T1]
beta':96 [binder, in hydras.Epsilon0.T1]
beta0:138 [binder, in hydras.Schutte.Ordering_Functions]
beta0:139 [binder, in hydras.Schutte.Ordering_Functions]
beta0:678 [binder, in hydras.Gamma0.Gamma0]
beta0:681 [binder, in hydras.Gamma0.Gamma0]
beta0:686 [binder, in hydras.Gamma0.Gamma0]
beta1 [definition, in hydras.OrdinalNotations.ON_Finite]
beta1:134 [binder, in hydras.Schutte.Ordering_Functions]
beta1:30 [binder, in hydras.Gamma0.T2]
beta1:37 [binder, in hydras.Gamma0.T2]
beta1:45 [binder, in hydras.Gamma0.T2]
beta1:495 [binder, in hydras.Gamma0.Gamma0]
beta1:501 [binder, in hydras.Gamma0.Gamma0]
beta1:53 [binder, in hydras.Gamma0.T2]
beta1:541 [binder, in hydras.Gamma0.Gamma0]
beta1:59 [binder, in hydras.Gamma0.T2]
beta1:649 [binder, in hydras.Gamma0.Gamma0]
beta1:65 [binder, in hydras.Gamma0.T2]
beta1:652 [binder, in hydras.Gamma0.Gamma0]
beta1:655 [binder, in hydras.Gamma0.Gamma0]
beta1:657 [binder, in hydras.Gamma0.Gamma0]
beta1:666 [binder, in hydras.Gamma0.Gamma0]
beta1:675 [binder, in hydras.Gamma0.Gamma0]
beta2:135 [binder, in hydras.Schutte.Ordering_Functions]
beta2:31 [binder, in hydras.Gamma0.T2]
beta2:38 [binder, in hydras.Gamma0.T2]
beta2:46 [binder, in hydras.Gamma0.T2]
beta2:496 [binder, in hydras.Gamma0.Gamma0]
beta2:502 [binder, in hydras.Gamma0.Gamma0]
beta2:542 [binder, in hydras.Gamma0.Gamma0]
beta2:650 [binder, in hydras.Gamma0.Gamma0]
beta2:653 [binder, in hydras.Gamma0.Gamma0]
beta2:656 [binder, in hydras.Gamma0.Gamma0]
beta2:658 [binder, in hydras.Gamma0.Gamma0]
beta2:668 [binder, in hydras.Gamma0.Gamma0]
beta2:677 [binder, in hydras.Gamma0.Gamma0]
beta:10 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:10 [binder, in hydras.OrdinalNotations.ON_O]
beta:10 [binder, in hydras.Schutte.CNF]
beta:10 [binder, in hydras.OrdinalNotations.ON_mult]
beta:10 [binder, in hydras.OrdinalNotations.ON_plus]
beta:10 [binder, in hydras.Epsilon0.Canon]
beta:10 [binder, in hydras.Epsilon0.E0]
beta:10 [binder, in hydras.Epsilon0.Paths]
beta:10 [binder, in gaia_hydras.GHessenberg]
beta:100 [binder, in hydras.Epsilon0.T1]
beta:100 [binder, in hydras.Gamma0.T2]
beta:100 [binder, in hydras.Prelude.Comparable]
beta:100 [binder, in hydras.Epsilon0.Canon]
beta:101 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:101 [binder, in hydras.Epsilon0.E0]
beta:102 [binder, in hydras.Prelude.Comparable]
beta:102 [binder, in hydras.Epsilon0.Hprime]
beta:102 [binder, in hydras.Epsilon0.Paths]
beta:103 [binder, in hydras.Hydra.O2H]
beta:103 [binder, in hydras.Schutte.Schutte_basics]
beta:103 [binder, in hydras.Epsilon0.E0]
beta:104 [binder, in hydras.Epsilon0.T1]
beta:104 [binder, in hydras.Prelude.Comparable]
beta:105 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:105 [binder, in hydras.Epsilon0.Paths]
beta:106 [binder, in hydras.Hydra.O2H]
beta:106 [binder, in hydras.Epsilon0.E0]
beta:106 [binder, in hydras.Epsilon0.Hprime]
beta:106 [binder, in hydras.Epsilon0.Paths]
beta:109 [binder, in hydras.Epsilon0.E0]
beta:11 [binder, in hydras.Schutte.Correctness_E0]
beta:11 [binder, in gaia_hydras.GHprime]
beta:110 [binder, in hydras.Epsilon0.Hessenberg]
beta:110 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:110 [binder, in hydras.Schutte.Schutte_basics]
beta:111 [binder, in hydras.Epsilon0.T1]
beta:111 [binder, in hydras.Hydra.O2H]
beta:111 [binder, in hydras.Epsilon0.Hprime]
beta:111 [binder, in hydras.Epsilon0.Paths]
beta:112 [binder, in hydras.Schutte.Schutte_basics]
beta:113 [binder, in hydras.Epsilon0.Hessenberg]
beta:114 [binder, in hydras.Schutte.Schutte_basics]
beta:114 [binder, in hydras.Epsilon0.E0]
beta:114 [binder, in hydras.Epsilon0.Paths]
beta:115 [binder, in hydras.Epsilon0.Hprime]
beta:115 [binder, in hydras.Epsilon0.Paths]
beta:116 [binder, in hydras.Schutte.Schutte_basics]
beta:116 [binder, in hydras.Epsilon0.E0]
beta:117 [binder, in hydras.Epsilon0.F_alpha]
beta:118 [binder, in gaia_hydras.T1Bridge]
beta:118 [binder, in hydras.Schutte.Schutte_basics]
beta:118 [binder, in hydras.Schutte.Ordering_Functions]
beta:119 [binder, in hydras.Epsilon0.E0]
beta:12 [binder, in hydras.Schutte.CNF]
beta:12 [binder, in hydras.Schutte.AP]
beta:12 [binder, in hydras.OrdinalNotations.ON_mult]
beta:12 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:120 [binder, in hydras.Epsilon0.T1]
beta:120 [binder, in gaia_hydras.T1Bridge]
beta:120 [binder, in hydras.Epsilon0.Hprime]
beta:120 [binder, in hydras.Epsilon0.Paths]
beta:121 [binder, in hydras.Epsilon0.E0]
beta:121 [binder, in hydras.Schutte.Ordering_Functions]
beta:122 [binder, in hydras.Schutte.Schutte_basics]
beta:125 [binder, in hydras.Epsilon0.Hprime]
beta:125 [binder, in hydras.Gamma0.Gamma0]
beta:128 [binder, in gaia_hydras.T1Bridge]
beta:128 [binder, in hydras.Epsilon0.Paths]
beta:128 [binder, in hydras.Gamma0.Gamma0]
beta:129 [binder, in hydras.Epsilon0.Hprime]
beta:13 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:13 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
beta:130 [binder, in gaia_hydras.T1Bridge]
beta:131 [binder, in hydras.Gamma0.Gamma0]
beta:132 [binder, in hydras.Schutte.Ordering_Functions]
beta:133 [binder, in hydras.Epsilon0.Paths]
beta:133 [binder, in hydras.Schutte.Ordering_Functions]
beta:134 [binder, in gaia_hydras.T1Bridge]
beta:134 [binder, in hydras.Gamma0.Gamma0]
beta:14 [binder, in hydras.solutions_exercises.predSuccUnicity]
beta:14 [binder, in gaia_hydras.GF_alpha]
beta:14 [binder, in hydras.OrdinalNotations.ON_O]
beta:14 [binder, in hydras.Epsilon0.Hessenberg]
beta:14 [binder, in hydras.OrdinalNotations.ON_mult]
beta:14 [binder, in hydras.OrdinalNotations.ON_plus]
beta:142 [binder, in hydras.Epsilon0.T1]
beta:142 [binder, in hydras.Epsilon0.Paths]
beta:142 [binder, in hydras.Schutte.Ordering_Functions]
beta:145 [binder, in hydras.Gamma0.Gamma0]
beta:148 [binder, in hydras.Epsilon0.Paths]
beta:148 [binder, in hydras.Gamma0.Gamma0]
beta:15 [binder, in hydras.Schutte.Correctness_E0]
beta:15 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:15 [binder, in hydras.Schutte.AP]
beta:15 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:151 [binder, in hydras.Epsilon0.T1]
beta:152 [binder, in hydras.Gamma0.Gamma0]
beta:154 [binder, in hydras.Gamma0.Gamma0]
beta:155 [binder, in hydras.Epsilon0.Large_Sets]
beta:156 [binder, in hydras.Epsilon0.T1]
beta:158 [binder, in hydras.Gamma0.Gamma0]
beta:159 [binder, in hydras.Epsilon0.T1]
beta:16 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:16 [binder, in hydras.OrdinalNotations.ON_mult]
beta:16 [binder, in hydras.OrdinalNotations.ON_plus]
beta:16 [binder, in hydras.Epsilon0.E0]
beta:163 [binder, in gaia_hydras.T1Bridge]
beta:163 [binder, in hydras.Epsilon0.Paths]
beta:165 [binder, in gaia_hydras.T1Bridge]
beta:166 [binder, in hydras.Epsilon0.Paths]
beta:167 [binder, in gaia_hydras.T1Bridge]
beta:17 [binder, in hydras.solutions_exercises.predSuccUnicity]
beta:17 [binder, in hydras.OrdinalNotations.ON_O]
beta:17 [binder, in hydras.Schutte.CNF]
beta:17 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
beta:17 [binder, in hydras.solutions_exercises.F_3]
beta:171 [binder, in gaia_hydras.T1Bridge]
beta:171 [binder, in hydras.Epsilon0.Paths]
beta:173 [binder, in gaia_hydras.T1Bridge]
beta:176 [binder, in hydras.Schutte.Schutte_basics]
beta:177 [binder, in hydras.Gamma0.Gamma0]
beta:179 [binder, in hydras.Schutte.Schutte_basics]
beta:18 [binder, in hydras.solutions_exercises.Limit_Infinity]
beta:18 [binder, in hydras.OrdinalNotations.ON_plus]
beta:18 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:18 [binder, in hydras.Gamma0.Gamma0]
beta:184 [binder, in hydras.Epsilon0.F_alpha]
beta:19 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:19 [binder, in hydras.Schutte.Schutte_basics]
beta:191 [binder, in hydras.Gamma0.Gamma0]
beta:193 [binder, in hydras.Gamma0.Gamma0]
beta:194 [binder, in hydras.Epsilon0.Paths]
beta:195 [binder, in hydras.Gamma0.Gamma0]
beta:197 [binder, in hydras.Epsilon0.Paths]
beta:197 [binder, in hydras.Gamma0.Gamma0]
beta:199 [binder, in hydras.Gamma0.Gamma0]
beta:2 [binder, in hydras.solutions_exercises.is_F_monotonous]
beta:2 [binder, in hydras.Epsilon0.Hessenberg]
beta:2 [binder, in hydras.Schutte.Critical]
beta:2 [binder, in hydras.Schutte.AP]
beta:2 [binder, in gaia_hydras.GHessenberg]
beta:20 [binder, in hydras.Schutte.Correctness_E0]
beta:20 [binder, in hydras.OrdinalNotations.ON_O]
beta:20 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:20 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:201 [binder, in hydras.Gamma0.Gamma0]
beta:203 [binder, in hydras.Gamma0.Gamma0]
beta:205 [binder, in hydras.Gamma0.Gamma0]
beta:209 [binder, in hydras.Epsilon0.T1]
beta:21 [binder, in hydras.Gamma0.T2]
beta:21 [binder, in hydras.solutions_exercises.Limit_Infinity]
beta:21 [binder, in hydras.Epsilon0.E0]
beta:21 [binder, in hydras.Epsilon0.Paths]
beta:21 [binder, in hydras.Schutte.Addition]
beta:214 [binder, in hydras.Gamma0.Gamma0]
beta:217 [binder, in hydras.Schutte.Schutte_basics]
beta:219 [binder, in hydras.Schutte.Schutte_basics]
beta:22 [binder, in hydras.Schutte.CNF]
beta:22 [binder, in hydras.solutions_exercises.F_3]
beta:22 [binder, in hydras.Gamma0.Gamma0]
beta:221 [binder, in hydras.Schutte.Schutte_basics]
beta:225 [binder, in hydras.Epsilon0.Paths]
beta:23 [binder, in hydras.Schutte.Addition]
beta:233 [binder, in hydras.Epsilon0.Paths]
beta:239 [binder, in hydras.Gamma0.Gamma0]
beta:24 [binder, in hydras.Epsilon0.T1]
beta:24 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:24 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
beta:24 [binder, in hydras.Schutte.Schutte_basics]
beta:24 [binder, in hydras.solutions_exercises.F_3]
beta:24 [binder, in hydras.Epsilon0.Paths]
beta:241 [binder, in hydras.Epsilon0.T1]
beta:241 [binder, in hydras.Gamma0.Gamma0]
beta:243 [binder, in hydras.Epsilon0.T1]
beta:243 [binder, in hydras.Epsilon0.Paths]
beta:245 [binder, in hydras.Epsilon0.T1]
beta:249 [binder, in hydras.Epsilon0.Paths]
beta:25 [binder, in hydras.Gamma0.T2]
beta:25 [binder, in hydras.Epsilon0.Paths]
beta:25 [binder, in hydras.Schutte.Addition]
beta:252 [binder, in hydras.Epsilon0.Paths]
beta:255 [binder, in hydras.Epsilon0.Paths]
beta:258 [binder, in hydras.Epsilon0.Paths]
beta:259 [binder, in hydras.Epsilon0.Paths]
beta:26 [binder, in gaia_hydras.GF_alpha]
beta:26 [binder, in hydras.OrdinalNotations.ON_Generic]
beta:26 [binder, in hydras.Schutte.Ordering_Functions]
beta:262 [binder, in hydras.Epsilon0.Paths]
beta:266 [binder, in hydras.Epsilon0.Paths]
beta:269 [binder, in hydras.Epsilon0.Paths]
beta:27 [binder, in hydras.Hydra.O2H]
beta:27 [binder, in hydras.Schutte.Critical]
beta:27 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:274 [binder, in hydras.Epsilon0.Paths]
beta:277 [binder, in hydras.Epsilon0.Paths]
beta:28 [binder, in gaia_hydras.GF_alpha]
beta:28 [binder, in hydras.Schutte.CNF]
beta:28 [binder, in hydras.Schutte.Addition]
beta:282 [binder, in hydras.Epsilon0.Paths]
beta:285 [binder, in hydras.Epsilon0.Paths]
beta:288 [binder, in hydras.Epsilon0.Paths]
beta:289 [binder, in hydras.Epsilon0.T1]
beta:29 [binder, in hydras.Epsilon0.T1]
beta:29 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:291 [binder, in hydras.Epsilon0.T1]
beta:291 [binder, in hydras.Epsilon0.Paths]
beta:293 [binder, in hydras.Epsilon0.T1]
beta:294 [binder, in hydras.Epsilon0.Paths]
beta:295 [binder, in hydras.Epsilon0.T1]
beta:297 [binder, in hydras.Epsilon0.T1]
beta:297 [binder, in hydras.Epsilon0.Paths]
beta:299 [binder, in hydras.Epsilon0.T1]
beta:3 [binder, in hydras.solutions_exercises.schutte_cnf_counter_example]
beta:3 [binder, in gaia_hydras.ON_gfinite]
beta:3 [binder, in hydras.Epsilon0.Paths]
beta:3 [binder, in hydras.Schutte.Ordering_Functions]
beta:30 [binder, in hydras.Epsilon0.E0]
beta:30 [binder, in hydras.Schutte.Addition]
beta:301 [binder, in hydras.Epsilon0.T1]
beta:301 [binder, in hydras.Epsilon0.Paths]
beta:303 [binder, in hydras.Epsilon0.T1]
beta:305 [binder, in hydras.Epsilon0.T1]
beta:305 [binder, in hydras.Epsilon0.Paths]
beta:308 [binder, in hydras.Epsilon0.Paths]
beta:313 [binder, in hydras.Epsilon0.Paths]
beta:314 [binder, in hydras.Epsilon0.T1]
beta:317 [binder, in hydras.Epsilon0.T1]
beta:317 [binder, in hydras.Epsilon0.Paths]
beta:32 [binder, in hydras.Schutte.CNF]
beta:32 [binder, in hydras.Schutte.Critical]
beta:32 [binder, in hydras.Epsilon0.E0]
beta:320 [binder, in hydras.Epsilon0.T1]
beta:321 [binder, in hydras.Epsilon0.Paths]
beta:325 [binder, in hydras.Epsilon0.T1]
beta:33 [binder, in hydras.Schutte.Correctness_E0]
beta:33 [binder, in hydras.Schutte.Schutte_basics]
beta:33 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:33 [binder, in hydras.Schutte.Addition]
beta:330 [binder, in hydras.Epsilon0.T1]
beta:334 [binder, in hydras.Epsilon0.T1]
beta:335 [binder, in hydras.Epsilon0.Paths]
beta:338 [binder, in hydras.Epsilon0.T1]
beta:34 [binder, in hydras.Epsilon0.E0]
beta:340 [binder, in hydras.Epsilon0.Paths]
beta:341 [binder, in hydras.Epsilon0.T1]
beta:344 [binder, in hydras.Epsilon0.Paths]
beta:348 [binder, in hydras.Epsilon0.Paths]
beta:35 [binder, in hydras.Schutte.Correctness_E0]
beta:35 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:351 [binder, in hydras.Epsilon0.T1]
beta:352 [binder, in hydras.Epsilon0.Paths]
beta:354 [binder, in hydras.Epsilon0.T1]
beta:358 [binder, in hydras.Epsilon0.Paths]
beta:36 [binder, in hydras.Epsilon0.E0]
beta:36 [binder, in hydras.Epsilon0.Paths]
beta:361 [binder, in hydras.Epsilon0.Paths]
beta:365 [binder, in hydras.Epsilon0.Paths]
beta:37 [binder, in hydras.Epsilon0.T1]
beta:37 [binder, in hydras.Schutte.Correctness_E0]
beta:37 [binder, in hydras.Schutte.Critical]
beta:378 [binder, in hydras.Epsilon0.Paths]
beta:38 [binder, in hydras.Epsilon0.E0]
beta:38 [binder, in hydras.Epsilon0.Paths]
beta:384 [binder, in hydras.Epsilon0.Paths]
beta:389 [binder, in hydras.Epsilon0.Paths]
beta:39 [binder, in hydras.Epsilon0.T1]
beta:39 [binder, in hydras.Schutte.Correctness_E0]
beta:39 [binder, in hydras.Schutte.Addition]
beta:393 [binder, in hydras.Epsilon0.Paths]
beta:395 [binder, in hydras.Epsilon0.T1]
beta:396 [binder, in hydras.Epsilon0.Paths]
beta:4 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:4 [binder, in hydras.Gamma0.T2]
beta:4 [binder, in hydras.Epsilon0.Hessenberg]
beta:4 [binder, in hydras.Schutte.Critical]
beta:4 [binder, in hydras.Schutte.Schutte_basics]
beta:40 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:400 [binder, in hydras.Epsilon0.T1]
beta:400 [binder, in hydras.Epsilon0.Paths]
beta:405 [binder, in hydras.Epsilon0.Paths]
beta:407 [binder, in hydras.Epsilon0.T1]
beta:408 [binder, in hydras.Epsilon0.T1]
beta:409 [binder, in hydras.Epsilon0.Paths]
beta:41 [binder, in hydras.Epsilon0.T1]
beta:41 [binder, in hydras.Schutte.Critical]
beta:415 [binder, in hydras.Epsilon0.Paths]
beta:417 [binder, in hydras.Epsilon0.Paths]
beta:421 [binder, in hydras.Epsilon0.Paths]
beta:425 [binder, in hydras.Epsilon0.Paths]
beta:429 [binder, in hydras.Epsilon0.Paths]
beta:43 [binder, in hydras.Schutte.Correctness_E0]
beta:43 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:43 [binder, in hydras.Schutte.Addition]
beta:435 [binder, in hydras.Epsilon0.Paths]
beta:439 [binder, in hydras.Epsilon0.Paths]
beta:44 [binder, in hydras.Schutte.CNF]
beta:44 [binder, in hydras.Schutte.Critical]
beta:44 [binder, in hydras.Epsilon0.L_alpha]
beta:450 [binder, in hydras.Epsilon0.Paths]
beta:454 [binder, in hydras.Gamma0.Gamma0]
beta:456 [binder, in hydras.Epsilon0.Paths]
beta:456 [binder, in hydras.Gamma0.Gamma0]
beta:457 [binder, in hydras.Epsilon0.T1]
beta:46 [binder, in hydras.Schutte.Critical]
beta:460 [binder, in hydras.Epsilon0.Paths]
beta:461 [binder, in hydras.Gamma0.Gamma0]
beta:464 [binder, in hydras.Epsilon0.Paths]
beta:465 [binder, in hydras.Gamma0.Gamma0]
beta:466 [binder, in hydras.Epsilon0.Paths]
beta:467 [binder, in hydras.Epsilon0.T1]
beta:47 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:47 [binder, in hydras.Schutte.CNF]
beta:473 [binder, in hydras.Epsilon0.T1]
beta:475 [binder, in hydras.Epsilon0.T1]
beta:48 [binder, in hydras.Schutte.AP]
beta:48 [binder, in hydras.Epsilon0.L_alpha]
beta:48 [binder, in hydras.Epsilon0.E0]
beta:481 [binder, in hydras.Epsilon0.T1]
beta:483 [binder, in hydras.Epsilon0.T1]
beta:483 [binder, in hydras.Epsilon0.Paths]
beta:485 [binder, in hydras.Epsilon0.T1]
beta:487 [binder, in hydras.Epsilon0.Paths]
beta:488 [binder, in hydras.Epsilon0.T1]
beta:49 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:49 [binder, in hydras.Schutte.CNF]
beta:49 [binder, in hydras.Schutte.Critical]
beta:491 [binder, in hydras.Epsilon0.Paths]
beta:492 [binder, in hydras.Epsilon0.T1]
beta:493 [binder, in hydras.Gamma0.Gamma0]
beta:495 [binder, in hydras.Epsilon0.Paths]
beta:499 [binder, in hydras.Epsilon0.T1]
beta:499 [binder, in hydras.Epsilon0.Paths]
beta:5 [binder, in hydras.Epsilon0.T1]
beta:5 [binder, in hydras.solutions_exercises.schutte_cnf_counter_example]
beta:5 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:5 [binder, in hydras.Epsilon0.E0]
beta:50 [binder, in hydras.Schutte.AP]
beta:50 [binder, in hydras.Epsilon0.L_alpha]
beta:500 [binder, in hydras.Gamma0.Gamma0]
beta:503 [binder, in hydras.Epsilon0.Paths]
beta:504 [binder, in hydras.Gamma0.Gamma0]
beta:507 [binder, in hydras.Epsilon0.Paths]
beta:508 [binder, in hydras.Gamma0.Gamma0]
beta:51 [binder, in hydras.Epsilon0.E0]
beta:512 [binder, in hydras.Epsilon0.Paths]
beta:512 [binder, in hydras.Gamma0.Gamma0]
beta:515 [binder, in hydras.Gamma0.Gamma0]
beta:518 [binder, in hydras.Epsilon0.Paths]
beta:52 [binder, in hydras.Hydra.O2H]
beta:52 [binder, in hydras.Schutte.AP]
beta:52 [binder, in hydras.Epsilon0.Hprime]
beta:52 [binder, in hydras.Schutte.Ordering_Functions]
beta:525 [binder, in hydras.Epsilon0.Paths]
beta:53 [binder, in hydras.Epsilon0.E0]
beta:54 [binder, in hydras.Schutte.AP]
beta:549 [binder, in hydras.Epsilon0.Paths]
beta:55 [binder, in hydras.Epsilon0.E0]
beta:553 [binder, in hydras.Epsilon0.Paths]
beta:554 [binder, in hydras.Gamma0.Gamma0]
beta:557 [binder, in hydras.Epsilon0.Paths]
beta:56 [binder, in hydras.Epsilon0.Hessenberg]
beta:56 [binder, in hydras.Schutte.AP]
beta:56 [binder, in hydras.Epsilon0.Paths]
beta:560 [binder, in hydras.Epsilon0.T1]
beta:562 [binder, in hydras.Epsilon0.Paths]
beta:565 [binder, in hydras.Epsilon0.Paths]
beta:57 [binder, in hydras.Hydra.O2H]
beta:57 [binder, in hydras.Schutte.Addition]
beta:570 [binder, in hydras.Epsilon0.T1]
beta:570 [binder, in hydras.Epsilon0.Paths]
beta:577 [binder, in hydras.Epsilon0.Paths]
beta:577 [binder, in hydras.Gamma0.Gamma0]
beta:58 [binder, in hydras.Epsilon0.Hessenberg]
beta:58 [binder, in hydras.Epsilon0.Canon]
beta:58 [binder, in hydras.Epsilon0.E0]
beta:582 [binder, in hydras.Gamma0.Gamma0]
beta:583 [binder, in hydras.Epsilon0.T1]
beta:583 [binder, in hydras.Epsilon0.Paths]
beta:586 [binder, in hydras.Epsilon0.T1]
beta:587 [binder, in hydras.Epsilon0.Paths]
beta:589 [binder, in hydras.Epsilon0.T1]
beta:59 [binder, in hydras.Epsilon0.Paths]
beta:590 [binder, in hydras.Epsilon0.Paths]
beta:6 [binder, in hydras.Schutte.CNF]
beta:6 [binder, in gaia_hydras.ON_gfinite]
beta:60 [binder, in hydras.Schutte.Addition]
beta:601 [binder, in hydras.Gamma0.Gamma0]
beta:61 [binder, in hydras.Schutte.AP]
beta:62 [binder, in hydras.Epsilon0.Hessenberg]
beta:62 [binder, in hydras.Schutte.CNF]
beta:62 [binder, in hydras.Epsilon0.Canon]
beta:622 [binder, in hydras.Gamma0.Gamma0]
beta:624 [binder, in hydras.Gamma0.Gamma0]
beta:626 [binder, in hydras.Gamma0.Gamma0]
beta:63 [binder, in hydras.Epsilon0.Paths]
beta:630 [binder, in hydras.Gamma0.Gamma0]
beta:632 [binder, in hydras.Epsilon0.T1]
beta:634 [binder, in hydras.Epsilon0.T1]
beta:636 [binder, in hydras.Epsilon0.T1]
beta:64 [binder, in hydras.Schutte.Correctness_E0]
beta:64 [binder, in hydras.Epsilon0.Hessenberg]
beta:641 [binder, in hydras.Gamma0.Gamma0]
beta:644 [binder, in hydras.Epsilon0.T1]
beta:645 [binder, in hydras.Epsilon0.T1]
beta:648 [binder, in hydras.Epsilon0.T1]
beta:65 [binder, in hydras.Schutte.AP]
beta:65 [binder, in hydras.Schutte.Addition]
beta:651 [binder, in hydras.Epsilon0.T1]
beta:653 [binder, in hydras.Epsilon0.T1]
beta:659 [binder, in hydras.Epsilon0.T1]
beta:66 [binder, in hydras.Epsilon0.Paths]
beta:661 [binder, in hydras.Gamma0.Gamma0]
beta:662 [binder, in hydras.Gamma0.Gamma0]
beta:663 [binder, in hydras.Epsilon0.T1]
beta:666 [binder, in hydras.Epsilon0.T1]
beta:668 [binder, in hydras.Epsilon0.T1]
beta:67 [binder, in hydras.Schutte.AP]
beta:670 [binder, in hydras.Epsilon0.T1]
beta:672 [binder, in hydras.Epsilon0.T1]
beta:675 [binder, in hydras.Epsilon0.T1]
beta:679 [binder, in hydras.Epsilon0.T1]
beta:679 [binder, in hydras.Gamma0.Gamma0]
beta:682 [binder, in hydras.Epsilon0.T1]
beta:682 [binder, in hydras.Gamma0.Gamma0]
beta:684 [binder, in hydras.Epsilon0.T1]
beta:687 [binder, in hydras.Gamma0.Gamma0]
beta:69 [binder, in hydras.Epsilon0.Hessenberg]
beta:7 [binder, in hydras.Schutte.Critical]
beta:7 [binder, in hydras.Epsilon0.Large_Sets_Examples]
beta:70 [binder, in hydras.Epsilon0.E0]
beta:701 [binder, in hydras.Gamma0.Gamma0]
beta:703 [binder, in hydras.Gamma0.Gamma0]
beta:705 [binder, in hydras.Gamma0.Gamma0]
beta:706 [binder, in hydras.Epsilon0.T1]
beta:71 [binder, in hydras.OrdinalNotations.ON_Omega2]
beta:71 [binder, in hydras.Epsilon0.F_alpha]
beta:71 [binder, in hydras.Epsilon0.Hessenberg]
beta:711 [binder, in hydras.Gamma0.Gamma0]
beta:712 [binder, in hydras.Epsilon0.T1]
beta:714 [binder, in hydras.Gamma0.Gamma0]
beta:715 [binder, in hydras.Epsilon0.T1]
beta:716 [binder, in hydras.Gamma0.Gamma0]
beta:718 [binder, in hydras.Epsilon0.T1]
beta:72 [binder, in hydras.Epsilon0.E0]
beta:721 [binder, in hydras.Epsilon0.T1]
beta:73 [binder, in hydras.Epsilon0.Canon]
beta:74 [binder, in hydras.Epsilon0.E0]
beta:75 [binder, in hydras.OrdinalNotations.ON_Generic]
beta:76 [binder, in hydras.Epsilon0.F_alpha]
beta:76 [binder, in hydras.Epsilon0.E0]
beta:76 [binder, in hydras.Epsilon0.Paths]
beta:78 [binder, in hydras.Epsilon0.Paths]
beta:79 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:79 [binder, in hydras.Epsilon0.E0]
beta:8 [binder, in hydras.Schutte.Correctness_E0]
beta:8 [binder, in hydras.Epsilon0.Paths]
beta:8 [binder, in gaia_hydras.GHessenberg]
beta:80 [binder, in hydras.Hydra.O2H]
beta:81 [binder, in hydras.Epsilon0.F_alpha]
beta:81 [binder, in hydras.Epsilon0.Hessenberg]
beta:81 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:81 [binder, in hydras.Epsilon0.E0]
beta:83 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:84 [binder, in hydras.Epsilon0.E0]
beta:85 [binder, in hydras.Epsilon0.F_alpha]
beta:85 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:86 [binder, in hydras.Epsilon0.Canon]
beta:86 [binder, in hydras.Schutte.Schutte_basics]
beta:87 [binder, in hydras.Epsilon0.E0]
beta:88 [binder, in hydras.Epsilon0.Paths]
beta:89 [binder, in hydras.Hydra.O2H]
beta:9 [binder, in hydras.Schutte.AP]
beta:9 [binder, in gaia_hydras.ON_gfinite]
beta:9 [binder, in hydras.OrdinalNotations.ON_Finite]
beta:90 [binder, in hydras.Epsilon0.E0]
beta:90 [binder, in hydras.Epsilon0.Paths]
beta:93 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:93 [binder, in hydras.Epsilon0.Canon]
beta:93 [binder, in hydras.Epsilon0.E0]
beta:93 [binder, in hydras.Epsilon0.Hprime]
beta:95 [binder, in hydras.Epsilon0.T1]
beta:95 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:95 [binder, in hydras.Schutte.Schutte_basics]
beta:96 [binder, in hydras.Epsilon0.F_alpha]
beta:97 [binder, in hydras.Gamma0.T2]
beta:99 [binder, in hydras.OrdinalNotations.OmegaOmega]
beta:99 [binder, in hydras.Epsilon0.E0]
beta:99 [binder, in hydras.Epsilon0.Paths]
bigarg [definition, in additions.fib]
BigBattle [library]
bigO [definition, in hydras.OrdinalNotations.ON_Generic]
Bigstep [lemma, in hydras.Hydra.BigBattle]
big_to_small [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
big_h [definition, in hydras.Hydra.Epsilon0_Needed_Generic]
big_to_small [lemma, in hydras.Hydra.Omega2_Small]
big_to_small [lemma, in hydras.Hydra.Omega_Small]
big0 [definition, in hydras.Schutte.Schutte_basics]
BinaryStrat [library]
binary_power_mult [definition, in additions.FirstSteps]
binary_power_mult_ok [lemma, in additions.Pow_variant]
binary_power_mult [definition, in additions.Pow_variant]
binary_power_mult_ok [lemma, in additions.Pow]
binary_power_mult [definition, in additions.Pow]
binary_power_mult [definition, in additions.fib]
binary_chain_length [lemma, in additions.Addition_Chains]
binary_generator_not_optimal [lemma, in additions.Addition_Chains]
binary_generator_correct [lemma, in additions.Addition_Chains]
binary_correct [lemma, in additions.Addition_Chains]
binary_power_proof.E_eq [variable, in additions.Addition_Chains]
binary_power_proof.E_one [variable, in additions.Addition_Chains]
binary_power_proof.E_op [variable, in additions.Addition_Chains]
binary_power_proof.A [variable, in additions.Addition_Chains]
binary_power_proof [section, in additions.Addition_Chains]
binary_chain [definition, in additions.Addition_Chains]
Binary_strat [instance, in additions.BinaryStrat]
bin_pow_scheme_length1 [lemma, in additions.Addition_Chains]
bin_pow_scheme [definition, in additions.Addition_Chains]
bits [definition, in additions.fib]
bitsP [lemma, in additions.fib]
bits_cat [lemma, in additions.fib]
bodd [definition, in hydras.Ackermann.primRec]
boddIsPR [instance, in hydras.Ackermann.primRec]
bool_eq_iff [lemma, in hydras.Epsilon0.T1]
bool_and_binop [instance, in additions.Monoid_def]
bool_decide_eq_false [lemma, in hydras.Prelude.STDPP_compat]
bool_decide_eq_true [lemma, in hydras.Prelude.STDPP_compat]
bool_decide [definition, in hydras.Prelude.STDPP_compat]
boundComputation [definition, in hydras.Ackermann.codeSubFormula]
boundComputationIsPR [instance, in hydras.Ackermann.codeSubFormula]
boundComputationMonotone [lemma, in hydras.Ackermann.codeSubFormula]
Bounded [section, in hydras.Hydra.Epsilon0_Needed_Generic]
boundedCheck [lemma, in hydras.Prelude.MoreDecidable]
boundedLT [lemma, in hydras.Ackermann.NNtheory]
boundedSearch [definition, in hydras.Ackermann.primRec]
boundedSearchHelp [definition, in hydras.Ackermann.primRec]
boundedSearch1 [lemma, in hydras.Ackermann.primRec]
boundedSearch2 [lemma, in hydras.Ackermann.primRec]
boundedSearch3 [lemma, in hydras.solutions_exercises.isqrt]
boundedSearch4 [lemma, in hydras.solutions_exercises.isqrt]
BoundedVariant [record, in hydras.Hydra.Hydra_Definitions]
bounded_by [definition, in hydras.Prelude.MoreLists]
bounded_transitionS [definition, in gaia_hydras.GPaths]
bounded_transitionS [definition, in hydras.Epsilon0.Paths]
Bounded.m_decrease [variable, in hydras.Hydra.Epsilon0_Needed_Generic]
boundMakeTrace [lemma, in hydras.Ackermann.codeSubFormula]
boundSearchIsPR [instance, in hydras.Ackermann.primRec]
boundSubFormulaHelp [lemma, in hydras.Ackermann.codeSubFormula]
boundSubFormulaHelp1 [lemma, in hydras.Ackermann.codeSubFormula]
boundSubFormulaHelp2 [lemma, in hydras.Ackermann.codeSubFormula]
boundSubTerm [lemma, in hydras.Ackermann.codeSubFormula]
boundSubTerms [lemma, in hydras.Ackermann.codeSubFormula]
box [definition, in Goedel.goedel2]
building_ordering_function_by_induction.B [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_by_induction [section, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.g_1 [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed.beta_B [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed.beta [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed [section, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.H_B [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.B [variable, in hydras.Schutte.Ordering_Functions]
building_ordering_function_1 [section, in hydras.Schutte.Ordering_Functions]
Build_OF [constructor, in hydras.Schutte.Ordering_Functions]
but_last_iota_from' [lemma, in hydras.Prelude.MoreLists]
but_last_app [lemma, in hydras.Prelude.MoreLists]
but_last_shift' [lemma, in hydras.Prelude.MoreLists]
but_last_interval [lemma, in hydras.Prelude.MoreLists]
but_last_iota_from [lemma, in hydras.Prelude.MoreLists]
but_last [definition, in hydras.Prelude.MoreLists]
bVar [instance, in gaia_hydras.GHydra]
BVar:28 [binder, in gaia_hydras.GHydra]
B_termination [definition, in hydras.Hydra.Hydra_Definitions]
b'':45 [binder, in hydras.Hydra.BigBattle]
b':1023 [binder, in gaia_hydras.nfwfgaia]
b':1151 [binder, in gaia_hydras.nfwfgaia]
b':118 [binder, in hydras.Epsilon0.T1]
b':1280 [binder, in gaia_hydras.nfwfgaia]
b':1285 [binder, in gaia_hydras.nfwfgaia]
b':1288 [binder, in gaia_hydras.nfwfgaia]
b':1291 [binder, in gaia_hydras.nfwfgaia]
b':1294 [binder, in gaia_hydras.nfwfgaia]
b':1298 [binder, in gaia_hydras.nfwfgaia]
b':13 [binder, in hydras.Prelude.Simple_LexProd]
b':1302 [binder, in gaia_hydras.nfwfgaia]
b':1306 [binder, in gaia_hydras.nfwfgaia]
b':1310 [binder, in gaia_hydras.nfwfgaia]
b':1316 [binder, in gaia_hydras.nfwfgaia]
b':132 [binder, in gaia_hydras.nfwfgaia]
b':1336 [binder, in gaia_hydras.nfwfgaia]
b':1382 [binder, in gaia_hydras.nfwfgaia]
b':1392 [binder, in gaia_hydras.nfwfgaia]
b':1420 [binder, in gaia_hydras.nfwfgaia]
b':1426 [binder, in gaia_hydras.nfwfgaia]
b':1434 [binder, in gaia_hydras.nfwfgaia]
b':1498 [binder, in gaia_hydras.nfwfgaia]
b':1506 [binder, in gaia_hydras.nfwfgaia]
b':1549 [binder, in gaia_hydras.nfwfgaia]
b':1583 [binder, in gaia_hydras.nfwfgaia]
b':16 [binder, in hydras.Prelude.Simple_LexProd]
b':1607 [binder, in gaia_hydras.nfwfgaia]
b':1616 [binder, in gaia_hydras.nfwfgaia]
b':1618 [binder, in gaia_hydras.nfwfgaia]
b':1625 [binder, in gaia_hydras.nfwfgaia]
b':1627 [binder, in gaia_hydras.nfwfgaia]
b':1633 [binder, in gaia_hydras.nfwfgaia]
b':1689 [binder, in gaia_hydras.nfwfgaia]
b':1695 [binder, in gaia_hydras.nfwfgaia]
b':175 [binder, in gaia_hydras.nfwfgaia]
b':177 [binder, in hydras.Epsilon0.T1]
b':185 [binder, in hydras.Epsilon0.T1]
b':20 [binder, in hydras.Epsilon0.Hessenberg]
b':2064 [binder, in gaia_hydras.nfwfgaia]
b':2078 [binder, in gaia_hydras.nfwfgaia]
b':2083 [binder, in gaia_hydras.nfwfgaia]
b':224 [binder, in hydras.Epsilon0.T1]
b':226 [binder, in gaia_hydras.nfwfgaia]
b':232 [binder, in gaia_hydras.nfwfgaia]
b':233 [binder, in hydras.Epsilon0.T1]
b':24 [binder, in hydras.Hydra.BigBattle]
b':247 [binder, in hydras.Epsilon0.T1]
b':25 [binder, in additions.Monoid_instances]
b':259 [binder, in gaia_hydras.nfwfgaia]
b':26 [binder, in hydras.Schutte.Correctness_E0]
b':26 [binder, in hydras.Epsilon0.Hessenberg]
b':286 [binder, in hydras.Epsilon0.T1]
b':295 [binder, in gaia_hydras.nfwfgaia]
b':30 [binder, in hydras.Schutte.PartialFun]
b':302 [binder, in hydras.Gamma0.Gamma0]
b':31 [binder, in hydras.Schutte.Correctness_E0]
b':31 [binder, in hydras.Epsilon0.Hessenberg]
b':33 [binder, in hydras.Hydra.BigBattle]
b':34 [binder, in hydras.Gamma0.Gamma0]
b':35 [binder, in hydras.Epsilon0.T1]
b':360 [binder, in hydras.Epsilon0.T1]
b':365 [binder, in hydras.Epsilon0.T1]
b':37 [binder, in hydras.Epsilon0.Hessenberg]
b':379 [binder, in hydras.Epsilon0.T1]
b':384 [binder, in hydras.Epsilon0.T1]
b':389 [binder, in hydras.Epsilon0.T1]
b':41 [binder, in hydras.Hydra.BigBattle]
b':426 [binder, in gaia_hydras.nfwfgaia]
b':43 [binder, in hydras.Epsilon0.Hessenberg]
b':430 [binder, in hydras.Epsilon0.T1]
b':431 [binder, in gaia_hydras.nfwfgaia]
b':435 [binder, in hydras.Epsilon0.T1]
b':441 [binder, in hydras.Epsilon0.T1]
b':46 [binder, in hydras.Prelude.DecPreOrder_Instances]
b':491 [binder, in hydras.Gamma0.Gamma0]
b':50 [binder, in hydras.Prelude.DecPreOrder_Instances]
b':51 [binder, in hydras.Epsilon0.Epsilon0rpo]
b':53 [binder, in hydras.Epsilon0.Hessenberg]
b':536 [binder, in hydras.Epsilon0.T1]
b':54 [binder, in hydras.Epsilon0.T1]
b':54 [binder, in hydras.Prelude.DecPreOrder_Instances]
b':542 [binder, in hydras.Ackermann.primRec]
b':55 [binder, in gaia_hydras.T1Bridge]
b':57 [binder, in hydras.Epsilon0.Epsilon0rpo]
b':57 [binder, in hydras.Hydra.BigBattle]
b':58 [binder, in hydras.Prelude.DecPreOrder_Instances]
b':58 [binder, in hydras.Prelude.Sort_spec]
b':59 [binder, in hydras.OrdinalNotations.OmegaOmega]
b':60 [binder, in gaia_hydras.T1Bridge]
b':62 [binder, in hydras.Prelude.DecPreOrder_Instances]
b':65 [binder, in gaia_hydras.T1Bridge]
b':69 [binder, in hydras.Epsilon0.T1]
b':71 [binder, in gaia_hydras.T1Bridge]
b':727 [binder, in hydras.Epsilon0.T1]
b':76 [binder, in hydras.Epsilon0.T1]
b':77 [binder, in gaia_hydras.T1Bridge]
b':791 [binder, in gaia_hydras.nfwfgaia]
b':81 [binder, in hydras.Epsilon0.T1]
b':82 [binder, in hydras.Gamma0.T2]
b':847 [binder, in gaia_hydras.nfwfgaia]
b':86 [binder, in hydras.Epsilon0.T1]
b':870 [binder, in gaia_hydras.nfwfgaia]
b':897 [binder, in gaia_hydras.nfwfgaia]
b':9 [binder, in hydras.Schutte.PartialFun]
b':90 [binder, in hydras.Epsilon0.T1]
b':901 [binder, in gaia_hydras.nfwfgaia]
b':907 [binder, in gaia_hydras.nfwfgaia]
b':915 [binder, in gaia_hydras.nfwfgaia]
b':943 [binder, in gaia_hydras.nfwfgaia]
b':991 [binder, in gaia_hydras.nfwfgaia]
b0:193 [binder, in hydras.Ackermann.cPair]
b0:197 [binder, in hydras.Ackermann.cPair]
b0:201 [binder, in hydras.Ackermann.cPair]
b0:239 [binder, in hydras.Ackermann.cPair]
b0:241 [binder, in hydras.Ackermann.cPair]
b0:302 [binder, in hydras.Ackermann.folProp]
b0:309 [binder, in hydras.Ackermann.folProp]
b0:318 [binder, in hydras.Ackermann.folProp]
b0:325 [binder, in hydras.Ackermann.folProp]
b0:334 [binder, in hydras.Ackermann.folProp]
b0:341 [binder, in hydras.Ackermann.folProp]
b0:350 [binder, in hydras.Ackermann.folProp]
b0:357 [binder, in hydras.Ackermann.folProp]
b0:45 [binder, in hydras.Ackermann.LNN2LNT]
b0:721 [binder, in hydras.Ackermann.primRec]
b0:725 [binder, in hydras.Ackermann.primRec]
b0:727 [binder, in hydras.Ackermann.primRec]
b0:730 [binder, in hydras.Ackermann.primRec]
b0:733 [binder, in hydras.Ackermann.primRec]
b0:736 [binder, in hydras.Ackermann.primRec]
b0:739 [binder, in hydras.Ackermann.primRec]
b0:742 [binder, in hydras.Ackermann.primRec]
b0:745 [binder, in hydras.Ackermann.primRec]
b0:748 [binder, in hydras.Ackermann.primRec]
b0:751 [binder, in hydras.Ackermann.primRec]
b0:754 [binder, in hydras.Ackermann.primRec]
b0:757 [binder, in hydras.Ackermann.primRec]
b0:759 [binder, in hydras.Ackermann.primRec]
b0:761 [binder, in hydras.Ackermann.primRec]
b0:763 [binder, in hydras.Ackermann.primRec]
b0:765 [binder, in hydras.Ackermann.primRec]
b0:767 [binder, in hydras.Ackermann.primRec]
b0:769 [binder, in hydras.Ackermann.primRec]
b0:771 [binder, in hydras.Ackermann.primRec]
b0:773 [binder, in hydras.Ackermann.primRec]
b0:775 [binder, in hydras.Ackermann.primRec]
b0:777 [binder, in hydras.Ackermann.primRec]
b0:779 [binder, in hydras.Ackermann.primRec]
b0:781 [binder, in hydras.Ackermann.primRec]
b0:783 [binder, in hydras.Ackermann.primRec]
b0:785 [binder, in hydras.Ackermann.primRec]
b0:788 [binder, in hydras.Ackermann.primRec]
b0:792 [binder, in hydras.Ackermann.primRec]
b0:795 [binder, in hydras.Ackermann.primRec]
b0:799 [binder, in hydras.Ackermann.primRec]
b0:805 [binder, in hydras.Ackermann.primRec]
b0:810 [binder, in hydras.Ackermann.primRec]
b0:813 [binder, in hydras.Ackermann.primRec]
b1:1362 [binder, in hydras.Ackermann.codeSubFormula]
b1:366 [binder, in hydras.Ackermann.folProp]
b1:37 [binder, in hydras.Gamma0.Gamma0]
b1:373 [binder, in hydras.Ackermann.folProp]
b1:382 [binder, in hydras.Ackermann.folProp]
b1:389 [binder, in hydras.Ackermann.folProp]
b1:45 [binder, in hydras.Gamma0.Gamma0]
b1:458 [binder, in hydras.Gamma0.Gamma0]
b1:468 [binder, in hydras.Gamma0.Gamma0]
b1:472 [binder, in hydras.Gamma0.Gamma0]
b1:474 [binder, in hydras.Gamma0.Gamma0]
b1:477 [binder, in hydras.Gamma0.Gamma0]
b1:484 [binder, in hydras.Gamma0.Gamma0]
b1:486 [binder, in hydras.Gamma0.Gamma0]
b1:521 [binder, in hydras.Gamma0.Gamma0]
b1:53 [binder, in hydras.Gamma0.Gamma0]
b1:555 [binder, in hydras.Gamma0.Gamma0]
b1:559 [binder, in hydras.Gamma0.Gamma0]
b1:61 [binder, in hydras.Gamma0.Gamma0]
b1:69 [binder, in hydras.Gamma0.Gamma0]
b1:77 [binder, in hydras.Gamma0.Gamma0]
b1:82 [binder, in hydras.rpo.list_permut]
b1:83 [binder, in hydras.Gamma0.Gamma0]
b2:1363 [binder, in hydras.Ackermann.codeSubFormula]
b2:38 [binder, in hydras.Gamma0.Gamma0]
b2:459 [binder, in hydras.Gamma0.Gamma0]
b2:46 [binder, in hydras.Gamma0.Gamma0]
b2:469 [binder, in hydras.Gamma0.Gamma0]
b2:473 [binder, in hydras.Gamma0.Gamma0]
b2:475 [binder, in hydras.Gamma0.Gamma0]
b2:478 [binder, in hydras.Gamma0.Gamma0]
b2:485 [binder, in hydras.Gamma0.Gamma0]
b2:487 [binder, in hydras.Gamma0.Gamma0]
b2:522 [binder, in hydras.Gamma0.Gamma0]
b2:54 [binder, in hydras.Gamma0.Gamma0]
b2:556 [binder, in hydras.Gamma0.Gamma0]
b2:560 [binder, in hydras.Gamma0.Gamma0]
b2:62 [binder, in hydras.Gamma0.Gamma0]
b2:70 [binder, in hydras.Gamma0.Gamma0]
b2:84 [binder, in hydras.rpo.list_permut]
B:1 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
b:10 [binder, in hydras.Prelude.Comparable]
b:10 [binder, in gaia_hydras.GPaths]
b:10 [binder, in hydras.Ackermann.PAtheory]
b:10 [binder, in gaia_hydras.T1Bridge]
b:10 [binder, in hydras.Ackermann.NNtheory]
b:10 [binder, in hydras.Prelude.MoreDecidable]
b:10 [binder, in gaia_hydras.T2Bridge]
b:10 [binder, in hydras.Gamma0.Gamma0]
b:1002 [binder, in gaia_hydras.nfwfgaia]
b:1005 [binder, in gaia_hydras.nfwfgaia]
b:1009 [binder, in gaia_hydras.nfwfgaia]
b:101 [binder, in gaia_hydras.nfwfgaia]
b:1013 [binder, in gaia_hydras.nfwfgaia]
b:1015 [binder, in gaia_hydras.nfwfgaia]
b:102 [binder, in hydras.Ackermann.model]
b:1020 [binder, in gaia_hydras.nfwfgaia]
b:1027 [binder, in gaia_hydras.nfwfgaia]
b:103 [binder, in hydras.Prelude.Merge_Sort]
b:103 [binder, in gaia_hydras.T1Bridge]
b:103 [binder, in hydras.Ackermann.folLogic3]
b:1030 [binder, in gaia_hydras.nfwfgaia]
b:1035 [binder, in gaia_hydras.nfwfgaia]
b:104 [binder, in hydras.Epsilon0.Hessenberg]
b:104 [binder, in hydras.Ackermann.cPair]
b:105 [binder, in gaia_hydras.T1Bridge]
b:1050 [binder, in gaia_hydras.nfwfgaia]
b:106 [binder, in hydras.Ackermann.model]
b:106 [binder, in hydras.Ackermann.cPair]
b:107 [binder, in hydras.Epsilon0.Hessenberg]
b:1078 [binder, in gaia_hydras.nfwfgaia]
b:108 [binder, in gaia_hydras.T1Bridge]
b:108 [binder, in hydras.Ackermann.cPair]
b:109 [binder, in hydras.Hydra.O2H]
B:109 [binder, in hydras.Prelude.MoreLists]
b:109 [binder, in hydras.Ackermann.codeSubFormula]
b:1098 [binder, in gaia_hydras.nfwfgaia]
b:11 [binder, in gaia_hydras.T1Choice]
b:110 [binder, in hydras.Ackermann.model]
b:110 [binder, in gaia_hydras.T1Bridge]
B:110 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1100 [binder, in gaia_hydras.nfwfgaia]
b:1102 [binder, in gaia_hydras.nfwfgaia]
b:1104 [binder, in gaia_hydras.nfwfgaia]
b:1107 [binder, in gaia_hydras.nfwfgaia]
b:111 [binder, in hydras.Gamma0.T2]
b:111 [binder, in hydras.Ackermann.folProp]
b:111 [binder, in hydras.Ackermann.cPair]
b:1110 [binder, in gaia_hydras.nfwfgaia]
b:1112 [binder, in gaia_hydras.nfwfgaia]
b:112 [binder, in hydras.Ackermann.codeSubFormula]
b:112 [binder, in gaia_hydras.nfwfgaia]
b:1127 [binder, in gaia_hydras.nfwfgaia]
b:113 [binder, in hydras.Hydra.O2H]
b:1130 [binder, in gaia_hydras.nfwfgaia]
b:1132 [binder, in gaia_hydras.nfwfgaia]
b:114 [binder, in hydras.Ackermann.model]
b:114 [binder, in hydras.Ackermann.cPair]
b:1145 [binder, in gaia_hydras.nfwfgaia]
b:1149 [binder, in gaia_hydras.nfwfgaia]
b:115 [binder, in hydras.Epsilon0.T1]
b:1155 [binder, in gaia_hydras.nfwfgaia]
b:1159 [binder, in gaia_hydras.nfwfgaia]
b:116 [binder, in hydras.Epsilon0.Hessenberg]
B:116 [binder, in hydras.Schutte.Ordering_Functions]
b:1161 [binder, in gaia_hydras.nfwfgaia]
b:1163 [binder, in gaia_hydras.nfwfgaia]
b:1165 [binder, in gaia_hydras.nfwfgaia]
b:1167 [binder, in gaia_hydras.nfwfgaia]
B:117 [binder, in hydras.Schutte.Ordering_Functions]
b:1170 [binder, in gaia_hydras.nfwfgaia]
b:1172 [binder, in gaia_hydras.nfwfgaia]
b:118 [binder, in hydras.Ackermann.cPair]
b:118 [binder, in hydras.Ackermann.codeList]
b:119 [binder, in hydras.Ackermann.codeList]
b:1192 [binder, in gaia_hydras.nfwfgaia]
b:1194 [binder, in gaia_hydras.nfwfgaia]
b:1196 [binder, in gaia_hydras.nfwfgaia]
B:12 [binder, in hydras.rpo.more_list]
b:12 [binder, in gaia_hydras.T1Bridge]
b:12 [binder, in hydras.Ackermann.prLogic]
b:12 [binder, in hydras.Schutte.PartialFun]
b:12 [binder, in hydras.Ackermann.NNtheory]
b:12 [binder, in hydras.Schutte.Ordering_Functions]
b:12 [binder, in hydras.solutions_exercises.isqrt]
b:12 [binder, in gaia_hydras.T2Bridge]
b:12 [binder, in hydras.Prelude.Simple_LexProd]
B:120 [binder, in hydras.Prelude.MoreLists]
b:120 [binder, in hydras.Epsilon0.Hessenberg]
b:120 [binder, in hydras.Ackermann.cPair]
b:1200 [binder, in gaia_hydras.nfwfgaia]
b:1209 [binder, in gaia_hydras.nfwfgaia]
b:1212 [binder, in gaia_hydras.nfwfgaia]
b:1215 [binder, in gaia_hydras.nfwfgaia]
b:1219 [binder, in gaia_hydras.nfwfgaia]
B:122 [binder, in hydras.rpo.more_list]
b:122 [binder, in hydras.Epsilon0.Hessenberg]
b:1227 [binder, in gaia_hydras.nfwfgaia]
b:1228 [binder, in hydras.Ackermann.codeSubFormula]
b:1231 [binder, in hydras.Ackermann.codeSubFormula]
b:1232 [binder, in gaia_hydras.nfwfgaia]
b:1234 [binder, in gaia_hydras.nfwfgaia]
b:1236 [binder, in gaia_hydras.nfwfgaia]
b:124 [binder, in hydras.Gamma0.T2]
b:1241 [binder, in gaia_hydras.nfwfgaia]
b:1247 [binder, in hydras.Ackermann.codeSubFormula]
b:1249 [binder, in gaia_hydras.nfwfgaia]
B:125 [binder, in Goedel.PRrepresentable]
b:125 [binder, in hydras.Ackermann.folProp]
B:125 [binder, in hydras.OrdinalNotations.ON_Generic]
B:125 [binder, in hydras.Hydra.Hydra_Definitions]
b:1250 [binder, in hydras.Ackermann.codeSubFormula]
b:1253 [binder, in gaia_hydras.nfwfgaia]
b:1256 [binder, in gaia_hydras.nfwfgaia]
b:126 [binder, in hydras.Ackermann.model]
b:126 [binder, in hydras.Epsilon0.Hessenberg]
b:1264 [binder, in gaia_hydras.nfwfgaia]
b:1269 [binder, in gaia_hydras.nfwfgaia]
B:127 [binder, in hydras.Prelude.MoreLists]
B:127 [binder, in hydras.Hydra.Hydra_Lemmas]
b:1272 [binder, in gaia_hydras.nfwfgaia]
b:1274 [binder, in gaia_hydras.nfwfgaia]
b:1276 [binder, in gaia_hydras.nfwfgaia]
b:1279 [binder, in gaia_hydras.nfwfgaia]
b:128 [binder, in hydras.Gamma0.T2]
b:1282 [binder, in hydras.Ackermann.codeSubFormula]
b:1284 [binder, in gaia_hydras.nfwfgaia]
b:1287 [binder, in gaia_hydras.nfwfgaia]
b:1288 [binder, in hydras.Ackermann.codeSubFormula]
b:129 [binder, in hydras.Epsilon0.Hessenberg]
b:129 [binder, in hydras.Ackermann.folProp]
b:129 [binder, in hydras.Ackermann.codeSubFormula]
b:129 [binder, in gaia_hydras.nfwfgaia]
b:1290 [binder, in gaia_hydras.nfwfgaia]
b:1293 [binder, in gaia_hydras.nfwfgaia]
b:1296 [binder, in gaia_hydras.nfwfgaia]
b:13 [binder, in gaia_hydras.T1Choice]
b:13 [binder, in hydras.Prelude.WfVariant]
b:13 [binder, in hydras.Ackermann.extEqualNat]
b:13 [binder, in gaia_hydras.GPaths]
b:13 [binder, in hydras.Schutte.PartialFun]
B:13 [binder, in hydras.Prelude.STDPP_compat]
b:13 [binder, in hydras.Ackermann.NN]
b:13 [binder, in hydras.rpo.closure]
b:13 [binder, in hydras.solutions_exercises.T1_ltNotWf]
B:13 [binder, in hydras.rpo.rpo]
b:130 [binder, in hydras.Ackermann.model]
b:130 [binder, in hydras.Ackermann.codeSubFormula]
b:1300 [binder, in gaia_hydras.nfwfgaia]
b:1304 [binder, in hydras.Ackermann.codeSubFormula]
b:1304 [binder, in gaia_hydras.nfwfgaia]
b:1307 [binder, in hydras.Ackermann.codeSubFormula]
b:1308 [binder, in gaia_hydras.nfwfgaia]
b:131 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1313 [binder, in gaia_hydras.nfwfgaia]
b:1315 [binder, in gaia_hydras.nfwfgaia]
b:1319 [binder, in gaia_hydras.nfwfgaia]
b:132 [binder, in hydras.Epsilon0.T1]
B:132 [binder, in Goedel.PRrepresentable]
b:132 [binder, in hydras.Gamma0.T2]
B:132 [binder, in hydras.Prelude.MoreLists]
b:132 [binder, in hydras.Epsilon0.Hessenberg]
b:1321 [binder, in gaia_hydras.nfwfgaia]
b:1331 [binder, in gaia_hydras.nfwfgaia]
b:134 [binder, in hydras.Ackermann.model]
b:1346 [binder, in gaia_hydras.nfwfgaia]
b:1351 [binder, in gaia_hydras.nfwfgaia]
b:1356 [binder, in gaia_hydras.nfwfgaia]
b:136 [binder, in hydras.Gamma0.T2]
B:136 [binder, in hydras.rpo.more_list]
B:136 [binder, in hydras.Hydra.Hydra_Definitions]
b:1361 [binder, in gaia_hydras.nfwfgaia]
b:1366 [binder, in gaia_hydras.nfwfgaia]
b:137 [binder, in hydras.Epsilon0.T1]
B:137 [binder, in hydras.Prelude.MoreLists]
b:137 [binder, in hydras.Ackermann.codeSubFormula]
b:137 [binder, in hydras.Ackermann.primRec]
B:137 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1371 [binder, in gaia_hydras.nfwfgaia]
b:1377 [binder, in gaia_hydras.nfwfgaia]
b:138 [binder, in hydras.Ackermann.model]
b:1384 [binder, in hydras.Ackermann.codeSubFormula]
b:1387 [binder, in hydras.Ackermann.codeSubFormula]
b:1389 [binder, in gaia_hydras.nfwfgaia]
b:139 [binder, in hydras.Ackermann.codeSubFormula]
b:139 [binder, in hydras.Ackermann.primRec]
b:14 [binder, in gaia_hydras.T1Bridge]
b:14 [binder, in hydras.Ackermann.prLogic]
b:14 [binder, in hydras.Hydra.BigBattle]
b:14 [binder, in hydras.Ackermann.NNtheory]
b:14 [binder, in hydras.solutions_exercises.isqrt]
b:140 [binder, in hydras.Ackermann.LNT]
B:140 [binder, in hydras.Hydra.Hydra_Definitions]
b:1402 [binder, in hydras.Ackermann.codeSubFormula]
b:1403 [binder, in hydras.Ackermann.codeSubFormula]
b:1408 [binder, in gaia_hydras.nfwfgaia]
b:141 [binder, in hydras.Gamma0.T2]
b:141 [binder, in hydras.Ackermann.primRec]
B:141 [binder, in hydras.Ackermann.fol]
b:1417 [binder, in gaia_hydras.nfwfgaia]
B:142 [binder, in hydras.Prelude.MoreLists]
b:142 [binder, in hydras.Gamma0.Gamma0]
b:1423 [binder, in gaia_hydras.nfwfgaia]
b:1429 [binder, in gaia_hydras.nfwfgaia]
B:143 [binder, in Goedel.PRrepresentable]
b:143 [binder, in hydras.Ackermann.LNN]
b:143 [binder, in hydras.Ackermann.LNT]
b:143 [binder, in gaia_hydras.T1Bridge]
B:143 [binder, in hydras.Ackermann.fol]
b:144 [binder, in hydras.Ackermann.primRec]
b:144 [binder, in additions.fib]
b:1442 [binder, in gaia_hydras.nfwfgaia]
b:1444 [binder, in gaia_hydras.nfwfgaia]
b:1446 [binder, in gaia_hydras.nfwfgaia]
b:1448 [binder, in gaia_hydras.nfwfgaia]
b:145 [binder, in hydras.Gamma0.T2]
B:145 [binder, in hydras.rpo.more_list]
b:145 [binder, in gaia_hydras.T1Bridge]
B:145 [binder, in hydras.Ackermann.fol]
b:1450 [binder, in gaia_hydras.nfwfgaia]
b:1459 [binder, in gaia_hydras.nfwfgaia]
b:146 [binder, in hydras.Ackermann.LNN]
b:1462 [binder, in gaia_hydras.nfwfgaia]
b:1464 [binder, in gaia_hydras.nfwfgaia]
b:1466 [binder, in gaia_hydras.nfwfgaia]
b:1469 [binder, in gaia_hydras.nfwfgaia]
b:147 [binder, in hydras.Gamma0.T2]
b:147 [binder, in hydras.Ackermann.LNT]
b:147 [binder, in hydras.Ackermann.primRec]
B:147 [binder, in hydras.Hydra.Hydra_Definitions]
b:1471 [binder, in gaia_hydras.nfwfgaia]
b:149 [binder, in additions.fib]
b:1493 [binder, in gaia_hydras.nfwfgaia]
b:15 [binder, in hydras.solutions_exercises.MinPR2]
b:15 [binder, in hydras.Prelude.WfVariant]
b:15 [binder, in hydras.Ackermann.extEqualNat]
b:15 [binder, in hydras.solutions_exercises.MultisetWf]
B:15 [binder, in hydras.OrdinalNotations.ON_Generic]
b:15 [binder, in hydras.Ackermann.folLogic3]
b:15 [binder, in hydras.solutions_exercises.T1_ltNotWf]
b:15 [binder, in hydras.MoreAck.PrimRecExamples]
b:15 [binder, in hydras.Prelude.Simple_LexProd]
b:150 [binder, in hydras.rpo.more_list]
b:150 [binder, in hydras.Ackermann.LNN]
b:150 [binder, in hydras.Ackermann.primRec]
B:150 [binder, in hydras.Ackermann.fol]
B:150 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1503 [binder, in gaia_hydras.nfwfgaia]
b:1508 [binder, in gaia_hydras.nfwfgaia]
B:151 [binder, in hydras.Schutte.Ordering_Functions]
b:152 [binder, in hydras.Ackermann.LNT]
b:1520 [binder, in gaia_hydras.nfwfgaia]
b:1523 [binder, in gaia_hydras.nfwfgaia]
b:1526 [binder, in gaia_hydras.nfwfgaia]
b:153 [binder, in gaia_hydras.nfwfgaia]
b:1532 [binder, in gaia_hydras.nfwfgaia]
b:1537 [binder, in gaia_hydras.nfwfgaia]
B:154 [binder, in Goedel.PRrepresentable]
b:154 [binder, in hydras.Ackermann.primRec]
b:154 [binder, in hydras.Ackermann.fol]
b:154 [binder, in hydras.Ackermann.codePA]
b:1541 [binder, in gaia_hydras.nfwfgaia]
b:1544 [binder, in gaia_hydras.nfwfgaia]
B:155 [binder, in hydras.rpo.more_list]
b:155 [binder, in hydras.Ackermann.LNN]
b:155 [binder, in gaia_hydras.nfwfgaia]
b:1552 [binder, in gaia_hydras.nfwfgaia]
b:1559 [binder, in gaia_hydras.nfwfgaia]
b:156 [binder, in hydras.Ackermann.fol]
b:1562 [binder, in gaia_hydras.nfwfgaia]
b:1565 [binder, in gaia_hydras.nfwfgaia]
b:1569 [binder, in gaia_hydras.nfwfgaia]
b:157 [binder, in hydras.Ackermann.LNT]
b:157 [binder, in gaia_hydras.nfwfgaia]
b:157 [binder, in hydras.Ackermann.codePA]
B:157 [binder, in hydras.Hydra.Hydra_Definitions]
b:1575 [binder, in gaia_hydras.nfwfgaia]
b:1579 [binder, in gaia_hydras.nfwfgaia]
b:158 [binder, in hydras.Ackermann.primRec]
b:1588 [binder, in gaia_hydras.nfwfgaia]
b:159 [binder, in hydras.Ackermann.fol]
b:159 [binder, in gaia_hydras.nfwfgaia]
b:1593 [binder, in gaia_hydras.nfwfgaia]
b:1596 [binder, in gaia_hydras.nfwfgaia]
b:1599 [binder, in gaia_hydras.nfwfgaia]
B:16 [binder, in hydras.Prelude.DecPreOrder_Instances]
B:16 [binder, in hydras.rpo.more_list]
b:16 [binder, in hydras.Prelude.MoreDecidable]
b:16 [binder, in hydras.rpo.dickson]
b:16 [binder, in hydras.Schutte.Ordering_Functions]
B:16 [binder, in hydras.MoreAck.FolExamples]
b:16 [binder, in gaia_hydras.GHessenberg]
b:160 [binder, in hydras.Ackermann.LNN]
b:1602 [binder, in gaia_hydras.nfwfgaia]
b:161 [binder, in gaia_hydras.nfwfgaia]
b:1613 [binder, in gaia_hydras.nfwfgaia]
b:162 [binder, in hydras.Ackermann.primRec]
b:1622 [binder, in gaia_hydras.nfwfgaia]
b:163 [binder, in hydras.Ackermann.LNN]
B:163 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1630 [binder, in gaia_hydras.nfwfgaia]
b:1636 [binder, in gaia_hydras.nfwfgaia]
B:164 [binder, in hydras.rpo.more_list]
B:164 [binder, in hydras.Hydra.Hydra_Definitions]
b:165 [binder, in hydras.Ackermann.fol]
b:1651 [binder, in gaia_hydras.nfwfgaia]
b:166 [binder, in hydras.Epsilon0.T1]
b:166 [binder, in hydras.Gamma0.Gamma0]
b:1661 [binder, in gaia_hydras.nfwfgaia]
b:167 [binder, in hydras.Ackermann.cPair]
b:1672 [binder, in gaia_hydras.nfwfgaia]
b:1675 [binder, in gaia_hydras.nfwfgaia]
b:168 [binder, in hydras.Ackermann.primRec]
b:168 [binder, in hydras.Ackermann.fol]
b:168 [binder, in hydras.rpo.rpo]
b:169 [binder, in hydras.Epsilon0.T1]
b:169 [binder, in gaia_hydras.T1Bridge]
b:17 [binder, in hydras.solutions_exercises.MinPR2]
b:17 [binder, in additions.Fib2]
b:17 [binder, in hydras.Prelude.Comparable]
b:17 [binder, in hydras.Prelude.Sort_spec]
b:17 [binder, in hydras.Epsilon0.Hessenberg]
b:17 [binder, in hydras.Hydra.BigBattle]
B:17 [binder, in hydras.Ackermann.fol]
b:17 [binder, in Goedel.rosser]
b:170 [binder, in hydras.Ackermann.primRec]
b:170 [binder, in hydras.OrdinalNotations.ON_Generic]
b:170 [binder, in hydras.Gamma0.Gamma0]
B:171 [binder, in hydras.rpo.more_list]
b:171 [binder, in hydras.Ackermann.model]
b:171 [binder, in hydras.Ackermann.fol]
b:172 [binder, in hydras.Epsilon0.T1]
B:172 [binder, in hydras.Epsilon0.Large_Sets]
b:172 [binder, in hydras.Ackermann.primRec]
b:172 [binder, in gaia_hydras.nfwfgaia]
b:173 [binder, in hydras.Ackermann.model]
b:173 [binder, in hydras.Prelude.Merge_Sort]
b:1737 [binder, in gaia_hydras.nfwfgaia]
b:1739 [binder, in gaia_hydras.nfwfgaia]
b:174 [binder, in hydras.Ackermann.folProp]
B:174 [binder, in hydras.Schutte.Ordering_Functions]
b:1741 [binder, in gaia_hydras.nfwfgaia]
b:1743 [binder, in gaia_hydras.nfwfgaia]
b:1746 [binder, in gaia_hydras.nfwfgaia]
b:175 [binder, in hydras.Ackermann.cPair]
B:175 [binder, in hydras.OrdinalNotations.ON_Generic]
b:1750 [binder, in gaia_hydras.nfwfgaia]
b:1753 [binder, in gaia_hydras.nfwfgaia]
b:176 [binder, in hydras.Ackermann.model]
b:176 [binder, in hydras.Ackermann.primRec]
b:1769 [binder, in gaia_hydras.nfwfgaia]
b:177 [binder, in hydras.rpo.more_list]
b:177 [binder, in hydras.Ackermann.cPair]
B:177 [binder, in hydras.Schutte.Ordering_Functions]
b:177 [binder, in gaia_hydras.nfwfgaia]
b:1772 [binder, in gaia_hydras.nfwfgaia]
b:1774 [binder, in gaia_hydras.nfwfgaia]
b:178 [binder, in hydras.Ackermann.primRec]
b:178 [binder, in hydras.Ackermann.fol]
b:178 [binder, in gaia_hydras.nfwfgaia]
B:179 [binder, in hydras.rpo.more_list]
b:179 [binder, in hydras.Ackermann.cPair]
b:1792 [binder, in gaia_hydras.nfwfgaia]
b:1797 [binder, in gaia_hydras.nfwfgaia]
b:1799 [binder, in gaia_hydras.nfwfgaia]
b:18 [binder, in gaia_hydras.GPaths]
b:18 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:18 [binder, in hydras.Ackermann.codePA]
B:18 [binder, in hydras.rpo.rpo]
b:180 [binder, in hydras.Epsilon0.T1]
b:180 [binder, in hydras.Ackermann.model]
b:180 [binder, in hydras.Ackermann.primRec]
B:180 [binder, in hydras.Schutte.Ordering_Functions]
b:1803 [binder, in gaia_hydras.nfwfgaia]
b:1805 [binder, in gaia_hydras.nfwfgaia]
b:1807 [binder, in gaia_hydras.nfwfgaia]
b:1809 [binder, in gaia_hydras.nfwfgaia]
b:181 [binder, in hydras.Ackermann.folProp]
b:181 [binder, in hydras.Ackermann.cPair]
b:181 [binder, in gaia_hydras.nfwfgaia]
b:1811 [binder, in gaia_hydras.nfwfgaia]
b:1814 [binder, in gaia_hydras.nfwfgaia]
b:1816 [binder, in gaia_hydras.nfwfgaia]
B:182 [binder, in hydras.Schutte.Ordering_Functions]
b:183 [binder, in hydras.Epsilon0.T1]
b:183 [binder, in hydras.Ackermann.model]
B:183 [binder, in additions.Addition_Chains]
b:183 [binder, in gaia_hydras.nfwfgaia]
b:1836 [binder, in gaia_hydras.nfwfgaia]
b:1838 [binder, in gaia_hydras.nfwfgaia]
b:184 [binder, in hydras.Epsilon0.T1]
b:184 [binder, in hydras.Ackermann.primRec]
b:184 [binder, in hydras.Ackermann.fol]
b:1840 [binder, in gaia_hydras.nfwfgaia]
b:1842 [binder, in gaia_hydras.nfwfgaia]
b:1844 [binder, in gaia_hydras.nfwfgaia]
b:1857 [binder, in gaia_hydras.nfwfgaia]
b:186 [binder, in additions.Addition_Chains]
b:186 [binder, in hydras.Schutte.Ordering_Functions]
b:1866 [binder, in gaia_hydras.nfwfgaia]
B:187 [binder, in hydras.rpo.more_list]
b:187 [binder, in hydras.Ackermann.model]
b:187 [binder, in hydras.Ackermann.primRec]
b:1870 [binder, in gaia_hydras.nfwfgaia]
b:1878 [binder, in gaia_hydras.nfwfgaia]
b:188 [binder, in hydras.Epsilon0.T1]
B:188 [binder, in hydras.OrdinalNotations.ON_Generic]
b:188 [binder, in hydras.rpo.rpo]
b:1887 [binder, in gaia_hydras.nfwfgaia]
b:19 [binder, in hydras.Prelude.Comparable]
B:19 [binder, in hydras.Ackermann.fol]
b:19 [binder, in hydras.Schutte.PartialFun]
B:19 [binder, in gaia_hydras.GLarge_Sets]
B:19 [binder, in hydras.OrdinalNotations.ON_Generic]
B:19 [binder, in hydras.Schutte.Ordering_Functions]
b:190 [binder, in hydras.Ackermann.folProp]
b:190 [binder, in hydras.Ackermann.primRec]
b:190 [binder, in hydras.Ackermann.fol]
b:190 [binder, in hydras.rpo.rpo]
b:193 [binder, in hydras.Ackermann.model]
b:195 [binder, in hydras.Ackermann.model]
b:195 [binder, in hydras.Ackermann.primRec]
b:197 [binder, in hydras.Ackermann.model]
b:197 [binder, in hydras.Ackermann.folProp]
b:198 [binder, in hydras.Ackermann.primRec]
b:199 [binder, in hydras.Epsilon0.T1]
b:199 [binder, in hydras.Ackermann.model]
B:2 [binder, in hydras.Prelude.DecPreOrder_Instances]
B:2 [binder, in hydras.rpo.more_list]
b:2 [binder, in hydras.Ackermann.prLogic]
b:2 [binder, in hydras.solutions_exercises.MinPR]
b:2 [binder, in hydras.Ackermann.NNtheory]
b:2 [binder, in hydras.solutions_exercises.isqrt]
b:2 [binder, in hydras.Gamma0.Gamma0]
B:2 [binder, in hydras.rpo.rpo]
b:20 [binder, in hydras.Ackermann.cPair]
b:20 [binder, in hydras.Schutte.PartialFun]
B:20 [binder, in Goedel.rosser]
b:20 [binder, in gaia_hydras.GHessenberg]
b:2007 [binder, in gaia_hydras.nfwfgaia]
b:201 [binder, in hydras.Ackermann.primRec]
B:202 [binder, in hydras.rpo.more_list]
b:202 [binder, in hydras.Ackermann.model]
B:202 [binder, in hydras.OrdinalNotations.ON_Generic]
b:2022 [binder, in gaia_hydras.nfwfgaia]
b:2026 [binder, in gaia_hydras.nfwfgaia]
b:2031 [binder, in gaia_hydras.nfwfgaia]
b:2038 [binder, in gaia_hydras.nfwfgaia]
b:2048 [binder, in gaia_hydras.nfwfgaia]
b:2051 [binder, in gaia_hydras.nfwfgaia]
b:2054 [binder, in gaia_hydras.nfwfgaia]
b:2059 [binder, in gaia_hydras.nfwfgaia]
b:206 [binder, in hydras.Ackermann.model]
b:206 [binder, in hydras.Ackermann.folProp]
b:206 [binder, in hydras.Ackermann.primRec]
b:206 [binder, in gaia_hydras.nfwfgaia]
b:2062 [binder, in gaia_hydras.nfwfgaia]
b:2071 [binder, in gaia_hydras.nfwfgaia]
b:2074 [binder, in gaia_hydras.nfwfgaia]
b:209 [binder, in hydras.Ackermann.model]
b:209 [binder, in hydras.Ackermann.primRec]
b:209 [binder, in gaia_hydras.nfwfgaia]
B:21 [binder, in hydras.rpo.more_list]
b:21 [binder, in hydras.Prelude.Comparable]
b:21 [binder, in gaia_hydras.GCanon]
b:21 [binder, in hydras.Hydra.BigBattle]
B:21 [binder, in hydras.Ackermann.fol]
b:21 [binder, in additions.Monoid_instances]
b:21 [binder, in hydras.Schutte.PartialFun]
b:21 [binder, in hydras.Schutte.Well_Orders]
B:21 [binder, in hydras.Schutte.Ordering_Functions]
b:21 [binder, in hydras.Ackermann.codePA]
b:210 [binder, in hydras.OrdinalNotations.ON_Generic]
B:211 [binder, in hydras.rpo.more_list]
b:212 [binder, in hydras.Ackermann.primRec]
b:212 [binder, in hydras.OrdinalNotations.ON_Generic]
b:212 [binder, in gaia_hydras.nfwfgaia]
b:213 [binder, in hydras.Epsilon0.T1]
b:213 [binder, in hydras.Ackermann.model]
b:213 [binder, in hydras.Ackermann.folProp]
b:214 [binder, in hydras.Ackermann.fol]
b:214 [binder, in hydras.OrdinalNotations.ON_Generic]
b:215 [binder, in hydras.Epsilon0.T1]
b:215 [binder, in gaia_hydras.nfwfgaia]
b:216 [binder, in hydras.Gamma0.Gamma0]
b:217 [binder, in hydras.Epsilon0.T1]
b:217 [binder, in hydras.Ackermann.primRec]
b:217 [binder, in hydras.Ackermann.fol]
b:218 [binder, in hydras.Gamma0.Gamma0]
b:219 [binder, in hydras.rpo.more_list]
b:219 [binder, in hydras.Ackermann.model]
b:219 [binder, in hydras.Ackermann.fol]
b:22 [binder, in additions.Fib2]
b:22 [binder, in gaia_hydras.GPaths]
b:22 [binder, in hydras.Ackermann.cPair]
b:22 [binder, in gaia_hydras.GHydra]
b:22 [binder, in hydras.Prelude.MoreDecidable]
b:22 [binder, in hydras.Ackermann.NN]
b:22 [binder, in gaia_hydras.GHessenberg]
b:220 [binder, in hydras.Ackermann.primRec]
b:220 [binder, in gaia_hydras.nfwfgaia]
b:221 [binder, in hydras.Epsilon0.T1]
B:221 [binder, in hydras.rpo.more_list]
b:221 [binder, in hydras.Ackermann.model]
b:222 [binder, in hydras.Ackermann.folProp]
b:222 [binder, in hydras.Ackermann.cPair]
b:223 [binder, in hydras.Ackermann.primRec]
b:223 [binder, in hydras.Ackermann.codeList]
b:223 [binder, in gaia_hydras.nfwfgaia]
b:224 [binder, in hydras.Ackermann.codeList]
b:224 [binder, in hydras.Gamma0.Gamma0]
b:226 [binder, in hydras.Ackermann.primRec]
b:226 [binder, in hydras.Ackermann.cPair]
b:227 [binder, in hydras.Epsilon0.T1]
b:228 [binder, in hydras.Gamma0.Gamma0]
b:229 [binder, in hydras.rpo.more_list]
b:229 [binder, in hydras.Ackermann.folProp]
b:229 [binder, in hydras.Ackermann.primRec]
b:229 [binder, in gaia_hydras.nfwfgaia]
B:23 [binder, in hydras.Ackermann.folProof]
b:23 [binder, in hydras.Prelude.Comparable]
b:23 [binder, in hydras.Epsilon0.Hessenberg]
b:23 [binder, in hydras.OrdinalNotations.OmegaOmega]
B:23 [binder, in hydras.Schutte.Ordering_Functions]
B:23 [binder, in Goedel.rosser]
B:23 [binder, in hydras.Ackermann.expressible]
b:23 [binder, in hydras.Prelude.MoreVectors]
b:230 [binder, in hydras.rpo.more_list]
b:230 [binder, in hydras.Ackermann.cPair]
b:232 [binder, in hydras.Epsilon0.T1]
b:232 [binder, in hydras.Gamma0.Gamma0]
b:233 [binder, in hydras.rpo.more_list]
b:233 [binder, in hydras.Ackermann.primRec]
B:234 [binder, in hydras.Ackermann.checkPrf]
b:234 [binder, in hydras.Ackermann.cPair]
b:234 [binder, in gaia_hydras.nfwfgaia]
b:235 [binder, in hydras.Ackermann.cPair]
b:236 [binder, in hydras.Epsilon0.T1]
b:236 [binder, in hydras.rpo.more_list]
b:236 [binder, in hydras.Ackermann.primRec]
b:236 [binder, in gaia_hydras.nfwfgaia]
b:236 [binder, in hydras.rpo.rpo]
b:237 [binder, in hydras.rpo.more_list]
b:237 [binder, in hydras.Ackermann.cPair]
b:237 [binder, in hydras.Ackermann.fol]
b:239 [binder, in hydras.Epsilon0.T1]
B:239 [binder, in hydras.rpo.more_list]
b:239 [binder, in hydras.Ackermann.primRec]
b:239 [binder, in gaia_hydras.nfwfgaia]
B:24 [binder, in Goedel.fixPoint]
b:24 [binder, in hydras.Prelude.DecPreOrder]
b:24 [binder, in hydras.Ackermann.cPair]
b:24 [binder, in hydras.Schutte.Well_Orders]
b:24 [binder, in hydras.Gamma0.Gamma0]
b:24 [binder, in hydras.rpo.closure]
b:24 [binder, in gaia_hydras.GHessenberg]
b:242 [binder, in hydras.Ackermann.primRec]
b:245 [binder, in hydras.Ackermann.primRec]
b:245 [binder, in hydras.rpo.rpo]
b:246 [binder, in hydras.Epsilon0.T1]
b:247 [binder, in hydras.Ackermann.cPair]
B:248 [binder, in hydras.rpo.more_list]
b:248 [binder, in hydras.rpo.rpo]
b:249 [binder, in hydras.Ackermann.primRec]
b:249 [binder, in hydras.rpo.rpo]
b:25 [binder, in hydras.Schutte.Correctness_E0]
b:25 [binder, in hydras.Prelude.More_Arith]
b:25 [binder, in hydras.Epsilon0.F_omega]
b:25 [binder, in hydras.OrdinalNotations.OmegaOmega]
B:25 [binder, in hydras.Ackermann.fol]
b:25 [binder, in hydras.Schutte.PartialFun]
B:25 [binder, in hydras.Schutte.Ordering_Functions]
b:25 [binder, in gaia_hydras.nfwfgaia]
b:250 [binder, in hydras.Epsilon0.T1]
b:252 [binder, in hydras.Ackermann.primRec]
b:252 [binder, in hydras.Ackermann.cPair]
b:253 [binder, in hydras.Ackermann.folProp]
b:253 [binder, in hydras.Ackermann.cPair]
b:253 [binder, in hydras.rpo.rpo]
b:254 [binder, in hydras.rpo.rpo]
b:255 [binder, in hydras.Epsilon0.T1]
b:255 [binder, in hydras.Ackermann.primRec]
b:256 [binder, in hydras.rpo.more_list]
b:257 [binder, in hydras.rpo.more_list]
b:258 [binder, in hydras.rpo.more_list]
b:258 [binder, in hydras.Ackermann.primRec]
b:259 [binder, in hydras.Epsilon0.T1]
B:26 [binder, in hydras.rpo.more_list]
b:26 [binder, in gaia_hydras.GPaths]
b:26 [binder, in hydras.rpo.closure]
B:260 [binder, in hydras.rpo.more_list]
b:260 [binder, in hydras.Ackermann.folProp]
b:260 [binder, in hydras.Ackermann.cPair]
b:261 [binder, in hydras.Ackermann.primRec]
b:261 [binder, in hydras.rpo.rpo]
b:262 [binder, in hydras.Epsilon0.T1]
B:262 [binder, in Goedel.PRrepresentable]
b:262 [binder, in gaia_hydras.nfwfgaia]
b:263 [binder, in hydras.Ackermann.cPair]
b:265 [binder, in hydras.Epsilon0.T1]
b:265 [binder, in hydras.Ackermann.primRec]
b:265 [binder, in gaia_hydras.nfwfgaia]
B:266 [binder, in Goedel.PRrepresentable]
B:266 [binder, in hydras.Ackermann.checkPrf]
b:267 [binder, in hydras.Epsilon0.T1]
b:267 [binder, in gaia_hydras.nfwfgaia]
b:268 [binder, in hydras.rpo.more_list]
b:269 [binder, in hydras.rpo.more_list]
b:269 [binder, in hydras.Ackermann.folProp]
b:269 [binder, in hydras.Ackermann.primRec]
b:269 [binder, in hydras.Ackermann.fol]
b:269 [binder, in gaia_hydras.nfwfgaia]
B:27 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:27 [binder, in hydras.Prelude.Comparable]
b:27 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:27 [binder, in hydras.Ackermann.PA]
b:27 [binder, in hydras.Schutte.PartialFun]
b:27 [binder, in gaia_hydras.GHessenberg]
b:27 [binder, in hydras.MoreAck.PrimRecExamples]
B:27 [binder, in hydras.Ackermann.expressible]
b:270 [binder, in Goedel.PRrepresentable]
b:270 [binder, in hydras.rpo.more_list]
b:271 [binder, in hydras.Epsilon0.T1]
b:271 [binder, in Goedel.PRrepresentable]
b:273 [binder, in hydras.Epsilon0.T1]
B:273 [binder, in Goedel.PRrepresentable]
b:273 [binder, in hydras.Ackermann.primRec]
b:273 [binder, in hydras.Ackermann.fol]
b:273 [binder, in hydras.Gamma0.Gamma0]
b:273 [binder, in gaia_hydras.nfwfgaia]
b:274 [binder, in gaia_hydras.nfwfgaia]
b:275 [binder, in hydras.Epsilon0.T1]
b:276 [binder, in hydras.Ackermann.folProp]
b:276 [binder, in hydras.Ackermann.fol]
b:277 [binder, in hydras.Epsilon0.T1]
b:277 [binder, in hydras.Ackermann.primRec]
B:28 [binder, in hydras.Ackermann.folProof]
b:28 [binder, in hydras.Prelude.More_Arith]
b:28 [binder, in hydras.Ackermann.extEqualNat]
b:28 [binder, in hydras.rpo.more_list]
B:28 [binder, in Goedel.fixPoint]
b:28 [binder, in hydras.solutions_exercises.MultisetWf]
b:28 [binder, in Goedel.rosserPA]
b:281 [binder, in hydras.Ackermann.primRec]
b:281 [binder, in hydras.Ackermann.fol]
b:284 [binder, in hydras.Epsilon0.T1]
b:284 [binder, in hydras.Ackermann.fol]
b:284 [binder, in hydras.Gamma0.Gamma0]
B:286 [binder, in Goedel.PRrepresentable]
b:286 [binder, in hydras.Ackermann.primRec]
b:288 [binder, in hydras.Gamma0.Gamma0]
b:29 [binder, in hydras.Epsilon0.Epsilon0rpo]
b:29 [binder, in hydras.Epsilon0.Hessenberg]
b:29 [binder, in hydras.Prelude.DecPreOrder]
b:29 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:29 [binder, in hydras.Schutte.PartialFun]
B:29 [binder, in hydras.Schutte.Ordering_Functions]
b:29 [binder, in gaia_hydras.GHessenberg]
b:290 [binder, in hydras.Ackermann.primRec]
b:290 [binder, in additions.Euclidean_Chains]
B:292 [binder, in Goedel.PRrepresentable]
b:292 [binder, in hydras.Gamma0.Gamma0]
b:293 [binder, in gaia_hydras.nfwfgaia]
b:294 [binder, in hydras.Ackermann.primRec]
b:295 [binder, in additions.Euclidean_Chains]
b:296 [binder, in hydras.Gamma0.Gamma0]
b:299 [binder, in hydras.Ackermann.primRec]
b:3 [binder, in gaia_hydras.GPaths]
b:3 [binder, in hydras.Ackermann.ListExt]
B:30 [binder, in hydras.Ackermann.folProof]
b:30 [binder, in hydras.Schutte.Correctness_E0]
b:30 [binder, in hydras.Ackermann.codeSubTerm]
b:30 [binder, in hydras.Prelude.Comparable]
b:30 [binder, in hydras.Hydra.BigBattle]
b:30 [binder, in hydras.Gamma0.Gamma0]
b:30 [binder, in hydras.MoreAck.PrimRecExamples]
b:300 [binder, in Goedel.PRrepresentable]
b:303 [binder, in hydras.Ackermann.primRec]
b:307 [binder, in Goedel.PRrepresentable]
b:307 [binder, in hydras.Ackermann.primRec]
b:307 [binder, in hydras.Gamma0.Gamma0]
b:31 [binder, in hydras.Ackermann.extEqualNat]
b:31 [binder, in hydras.Ackermann.codeSubTerm]
b:31 [binder, in hydras.OrdinalNotations.OmegaOmega]
B:31 [binder, in Goedel.rosserPA]
b:31 [binder, in hydras.Schutte.PartialFun]
b:31 [binder, in hydras.Ackermann.NN]
b:31 [binder, in gaia_hydras.GHessenberg]
b:311 [binder, in hydras.Epsilon0.T1]
b:311 [binder, in Goedel.PRrepresentable]
b:311 [binder, in hydras.Ackermann.primRec]
b:315 [binder, in hydras.Ackermann.primRec]
b:319 [binder, in Goedel.PRrepresentable]
B:319 [binder, in hydras.Ackermann.checkPrf]
b:319 [binder, in hydras.Ackermann.primRec]
b:319 [binder, in hydras.Ackermann.fol]
b:32 [binder, in hydras.Epsilon0.T1]
b:32 [binder, in hydras.Ackermann.codeSubTerm]
B:32 [binder, in hydras.rpo.more_list]
b:32 [binder, in hydras.Ackermann.folLogic3]
b:323 [binder, in hydras.Ackermann.primRec]
b:323 [binder, in hydras.Ackermann.fol]
b:326 [binder, in hydras.Ackermann.fol]
B:328 [binder, in Goedel.PRrepresentable]
b:328 [binder, in hydras.Ackermann.primRec]
B:33 [binder, in hydras.Ackermann.folProof]
b:33 [binder, in hydras.Ackermann.codeSubTerm]
b:33 [binder, in hydras.Prelude.Comparable]
b:33 [binder, in hydras.OrdinalNotations.OmegaOmega]
B:33 [binder, in hydras.OrdinalNotations.ON_Generic]
B:33 [binder, in hydras.Schutte.Ordering_Functions]
b:331 [binder, in hydras.Ackermann.fol]
b:332 [binder, in hydras.Ackermann.primRec]
B:333 [binder, in Goedel.PRrepresentable]
b:336 [binder, in hydras.Ackermann.primRec]
B:338 [binder, in Goedel.PRrepresentable]
b:339 [binder, in hydras.Ackermann.cPair]
b:34 [binder, in hydras.Prelude.More_Arith]
b:34 [binder, in hydras.Ackermann.codeSubTerm]
b:34 [binder, in hydras.Epsilon0.Hessenberg]
B:34 [binder, in Goedel.rosserPA]
b:34 [binder, in hydras.Ackermann.cPair]
b:34 [binder, in gaia_hydras.GHessenberg]
b:340 [binder, in hydras.Ackermann.primRec]
b:341 [binder, in hydras.Ackermann.cPair]
B:342 [binder, in hydras.Ackermann.subAll]
b:344 [binder, in hydras.Ackermann.primRec]
B:347 [binder, in hydras.Ackermann.subAll]
b:347 [binder, in hydras.Ackermann.cPair]
b:348 [binder, in hydras.Epsilon0.T1]
b:35 [binder, in hydras.Ackermann.codeSubTerm]
b:35 [binder, in gaia_hydras.GCanon]
b:35 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:35 [binder, in hydras.Schutte.PartialFun]
b:35 [binder, in hydras.Schutte.Well_Orders]
b:35 [binder, in hydras.Prelude.MoreVectors]
b:350 [binder, in hydras.Ackermann.cPair]
b:352 [binder, in Goedel.PRrepresentable]
B:352 [binder, in hydras.Ackermann.subAll]
b:353 [binder, in hydras.Ackermann.cPair]
b:354 [binder, in gaia_hydras.nfwfgaia]
b:356 [binder, in Goedel.PRrepresentable]
b:356 [binder, in hydras.Ackermann.cPair]
b:356 [binder, in gaia_hydras.nfwfgaia]
b:357 [binder, in hydras.Epsilon0.T1]
b:358 [binder, in hydras.Ackermann.cPair]
b:358 [binder, in gaia_hydras.nfwfgaia]
b:36 [binder, in additions.Compatibility]
b:36 [binder, in hydras.Prelude.Comparable]
b:36 [binder, in hydras.Ackermann.folProp]
b:36 [binder, in hydras.Ackermann.PA]
b:36 [binder, in hydras.Schutte.Schutte_basics]
B:36 [binder, in hydras.MoreAck.FolExamples]
b:360 [binder, in Goedel.PRrepresentable]
b:360 [binder, in hydras.Ackermann.cPair]
b:360 [binder, in gaia_hydras.nfwfgaia]
b:362 [binder, in hydras.Epsilon0.T1]
b:363 [binder, in hydras.Ackermann.cPair]
b:364 [binder, in Goedel.PRrepresentable]
b:364 [binder, in gaia_hydras.nfwfgaia]
b:365 [binder, in hydras.Ackermann.fol]
b:366 [binder, in hydras.Ackermann.cPair]
b:369 [binder, in hydras.Ackermann.cPair]
b:369 [binder, in hydras.Ackermann.fol]
b:37 [binder, in gaia_hydras.GPaths]
b:37 [binder, in hydras.Hydra.BigBattle]
b:37 [binder, in gaia_hydras.GHessenberg]
b:372 [binder, in hydras.Ackermann.fol]
b:376 [binder, in hydras.Epsilon0.T1]
b:38 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:38 [binder, in hydras.Ackermann.cPair]
b:38 [binder, in hydras.Ackermann.wellFormed]
b:38 [binder, in gaia_hydras.onType]
b:38 [binder, in hydras.Schutte.Well_Orders]
b:383 [binder, in hydras.Epsilon0.T1]
b:386 [binder, in Goedel.PRrepresentable]
b:387 [binder, in hydras.Epsilon0.T1]
b:39 [binder, in hydras.Prelude.Comparable]
b:39 [binder, in hydras.Ackermann.NN]
b:39 [binder, in hydras.Schutte.Ordering_Functions]
b:390 [binder, in Goedel.PRrepresentable]
b:392 [binder, in hydras.Epsilon0.T1]
b:394 [binder, in Goedel.PRrepresentable]
b:394 [binder, in hydras.Ackermann.checkPrf]
b:395 [binder, in gaia_hydras.nfwfgaia]
b:397 [binder, in gaia_hydras.nfwfgaia]
b:398 [binder, in Goedel.PRrepresentable]
b:398 [binder, in hydras.Ackermann.checkPrf]
b:4 [binder, in hydras.solutions_exercises.MinPR2]
b:4 [binder, in hydras.Ackermann.folLogic2]
b:4 [binder, in hydras.Ackermann.prLogic]
b:4 [binder, in hydras.Ackermann.NNtheory]
b:4 [binder, in hydras.Schutte.Well_Orders]
b:4 [binder, in hydras.Ackermann.NN]
b:4 [binder, in hydras.solutions_exercises.isqrt]
B:40 [binder, in hydras.Ackermann.folProof]
b:40 [binder, in hydras.Epsilon0.Hessenberg]
b:40 [binder, in hydras.Ackermann.cPair]
b:40 [binder, in hydras.Ackermann.wellFormed]
b:40 [binder, in gaia_hydras.onType]
b:40 [binder, in hydras.Schutte.Ordering_Functions]
b:400 [binder, in gaia_hydras.nfwfgaia]
b:401 [binder, in Goedel.PRrepresentable]
b:403 [binder, in Goedel.PRrepresentable]
b:404 [binder, in hydras.Epsilon0.T1]
b:406 [binder, in Goedel.PRrepresentable]
b:409 [binder, in hydras.Ackermann.fol]
b:409 [binder, in gaia_hydras.nfwfgaia]
b:41 [binder, in hydras.Epsilon0.Epsilon0rpo]
b:41 [binder, in hydras.Prelude.Comparable]
b:41 [binder, in hydras.Schutte.PartialFun]
b:410 [binder, in Goedel.PRrepresentable]
b:412 [binder, in gaia_hydras.nfwfgaia]
b:413 [binder, in hydras.Ackermann.fol]
b:414 [binder, in Goedel.PRrepresentable]
b:416 [binder, in hydras.Ackermann.fol]
b:416 [binder, in gaia_hydras.nfwfgaia]
b:417 [binder, in hydras.Epsilon0.T1]
b:418 [binder, in Goedel.PRrepresentable]
b:418 [binder, in hydras.Ackermann.primRec]
b:42 [binder, in hydras.Ackermann.cPair]
b:42 [binder, in hydras.Schutte.Schutte_basics]
b:42 [binder, in hydras.Schutte.Well_Orders]
b:420 [binder, in hydras.Ackermann.primRec]
b:421 [binder, in Goedel.PRrepresentable]
b:422 [binder, in hydras.Ackermann.primRec]
b:424 [binder, in hydras.Ackermann.primRec]
b:424 [binder, in hydras.Ackermann.fol]
b:424 [binder, in gaia_hydras.nfwfgaia]
b:425 [binder, in Goedel.PRrepresentable]
b:427 [binder, in hydras.Epsilon0.T1]
b:428 [binder, in gaia_hydras.nfwfgaia]
b:429 [binder, in hydras.Ackermann.fol]
b:43 [binder, in hydras.Prelude.DecPreOrder]
b:43 [binder, in additions.More_on_positive]
B:43 [binder, in hydras.Schutte.Schutte_basics]
b:430 [binder, in hydras.Gamma0.Gamma0]
b:432 [binder, in hydras.Ackermann.fol]
b:433 [binder, in hydras.Epsilon0.T1]
b:433 [binder, in hydras.Ackermann.primRec]
b:433 [binder, in gaia_hydras.nfwfgaia]
b:434 [binder, in hydras.Ackermann.fol]
b:436 [binder, in gaia_hydras.nfwfgaia]
b:438 [binder, in hydras.Epsilon0.T1]
b:438 [binder, in gaia_hydras.nfwfgaia]
b:44 [binder, in hydras.Epsilon0.T1]
b:44 [binder, in hydras.Epsilon0.Epsilon0rpo]
b:44 [binder, in hydras.rpo.more_list]
b:44 [binder, in gaia_hydras.T1Bridge]
b:44 [binder, in hydras.rpo.dickson]
b:440 [binder, in hydras.Ackermann.primRec]
b:442 [binder, in gaia_hydras.nfwfgaia]
b:443 [binder, in hydras.Epsilon0.T1]
b:444 [binder, in gaia_hydras.nfwfgaia]
b:445 [binder, in hydras.Ackermann.fol]
b:446 [binder, in hydras.Ackermann.checkPrf]
b:446 [binder, in gaia_hydras.nfwfgaia]
b:447 [binder, in hydras.Epsilon0.T1]
b:447 [binder, in hydras.Ackermann.primRec]
b:448 [binder, in gaia_hydras.nfwfgaia]
b:449 [binder, in hydras.Epsilon0.T1]
b:449 [binder, in hydras.Ackermann.primRec]
b:45 [binder, in Goedel.PRrepresentable]
b:45 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:45 [binder, in hydras.Prelude.Comparable]
b:45 [binder, in hydras.Epsilon0.Hessenberg]
b:45 [binder, in hydras.Ackermann.PA]
b:45 [binder, in hydras.Prelude.MoreOrders]
b:45 [binder, in hydras.Schutte.PartialFun]
b:450 [binder, in hydras.Ackermann.checkPrf]
b:451 [binder, in gaia_hydras.nfwfgaia]
b:452 [binder, in hydras.Epsilon0.T1]
b:453 [binder, in gaia_hydras.nfwfgaia]
B:454 [binder, in hydras.Ackermann.checkPrf]
b:454 [binder, in hydras.Ackermann.primRec]
b:455 [binder, in hydras.Epsilon0.T1]
b:458 [binder, in gaia_hydras.nfwfgaia]
b:459 [binder, in hydras.Epsilon0.T1]
b:46 [binder, in hydras.solutions_exercises.MultisetWf]
b:46 [binder, in gaia_hydras.T1Bridge]
b:46 [binder, in hydras.Ackermann.cPair]
B:46 [binder, in hydras.Schutte.Ordering_Functions]
B:46 [binder, in hydras.Ackermann.expressible]
b:460 [binder, in hydras.Ackermann.primRec]
b:460 [binder, in gaia_hydras.nfwfgaia]
b:462 [binder, in hydras.Epsilon0.T1]
b:462 [binder, in hydras.Ackermann.primRec]
b:463 [binder, in gaia_hydras.nfwfgaia]
b:465 [binder, in hydras.Epsilon0.T1]
b:465 [binder, in gaia_hydras.nfwfgaia]
b:467 [binder, in hydras.Ackermann.primRec]
b:467 [binder, in gaia_hydras.nfwfgaia]
b:469 [binder, in hydras.Epsilon0.T1]
b:469 [binder, in gaia_hydras.nfwfgaia]
b:47 [binder, in hydras.Epsilon0.T1]
b:47 [binder, in hydras.Epsilon0.Epsilon0rpo]
b:47 [binder, in hydras.Prelude.Comparable]
B:47 [binder, in hydras.Prelude.Sort_spec]
b:47 [binder, in additions.More_on_positive]
B:47 [binder, in hydras.Schutte.Schutte_basics]
b:471 [binder, in hydras.Epsilon0.T1]
b:474 [binder, in gaia_hydras.nfwfgaia]
b:477 [binder, in hydras.Epsilon0.T1]
b:479 [binder, in hydras.Epsilon0.T1]
b:48 [binder, in Goedel.PRrepresentable]
b:48 [binder, in hydras.Prelude.More_Arith]
b:48 [binder, in hydras.Ackermann.codeSubTerm]
b:48 [binder, in hydras.Prelude.DecPreOrder]
b:481 [binder, in hydras.Ackermann.primRec]
b:482 [binder, in hydras.Ackermann.primRec]
b:483 [binder, in hydras.Gamma0.Gamma0]
b:487 [binder, in hydras.Ackermann.checkPrf]
b:487 [binder, in hydras.Ackermann.primRec]
b:49 [binder, in hydras.Epsilon0.T1]
b:49 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:49 [binder, in hydras.Ackermann.codeSubTerm]
b:49 [binder, in hydras.Prelude.Comparable]
b:49 [binder, in hydras.Ackermann.code]
b:49 [binder, in hydras.Hydra.BigBattle]
b:490 [binder, in hydras.Gamma0.Gamma0]
b:491 [binder, in hydras.Ackermann.checkPrf]
b:491 [binder, in gaia_hydras.nfwfgaia]
b:493 [binder, in hydras.Ackermann.primRec]
b:493 [binder, in gaia_hydras.nfwfgaia]
b:495 [binder, in gaia_hydras.nfwfgaia]
b:497 [binder, in hydras.Epsilon0.T1]
b:498 [binder, in hydras.Ackermann.primRec]
b:5 [binder, in hydras.Prelude.Restriction]
b:5 [binder, in hydras.Prelude.DecPreOrder]
b:5 [binder, in hydras.Ackermann.cPair]
B:5 [binder, in hydras.OrdinalNotations.ON_mult]
B:5 [binder, in hydras.OrdinalNotations.ON_plus]
b:50 [binder, in hydras.Ackermann.codeSubTerm]
b:50 [binder, in hydras.Epsilon0.Hessenberg]
b:50 [binder, in gaia_hydras.T1Bridge]
b:50 [binder, in hydras.Ackermann.cPair]
b:50 [binder, in hydras.Schutte.Well_Orders]
B:50 [binder, in hydras.Schutte.Ordering_Functions]
b:501 [binder, in hydras.Epsilon0.T1]
b:503 [binder, in hydras.Ackermann.checkPrf]
b:504 [binder, in hydras.Epsilon0.T1]
b:507 [binder, in hydras.Ackermann.checkPrf]
b:507 [binder, in hydras.Ackermann.primRec]
b:509 [binder, in hydras.Ackermann.primRec]
b:51 [binder, in hydras.Epsilon0.T1]
b:51 [binder, in hydras.Ackermann.codeSubTerm]
b:51 [binder, in additions.More_on_positive]
b:51 [binder, in hydras.OrdinalNotations.OmegaOmega]
B:51 [binder, in hydras.Ackermann.code]
b:51 [binder, in hydras.Schutte.PartialFun]
b:51 [binder, in hydras.Ackermann.codeList]
b:51 [binder, in hydras.rpo.dickson]
b:510 [binder, in hydras.Epsilon0.T1]
b:511 [binder, in hydras.Ackermann.checkPrf]
b:511 [binder, in hydras.Ackermann.primRec]
b:513 [binder, in hydras.Ackermann.primRec]
b:515 [binder, in hydras.Ackermann.checkPrf]
b:515 [binder, in hydras.Ackermann.primRec]
b:517 [binder, in hydras.Ackermann.primRec]
b:519 [binder, in hydras.Epsilon0.T1]
b:519 [binder, in hydras.Ackermann.primRec]
b:519 [binder, in hydras.Gamma0.Gamma0]
b:52 [binder, in hydras.Prelude.More_Arith]
b:52 [binder, in hydras.Prelude.Comparable]
B:52 [binder, in hydras.OrdinalNotations.ON_Generic]
b:52 [binder, in hydras.Ackermann.codeList]
b:521 [binder, in hydras.Ackermann.primRec]
b:522 [binder, in hydras.Epsilon0.T1]
b:523 [binder, in hydras.Ackermann.primRec]
b:525 [binder, in hydras.Ackermann.primRec]
b:525 [binder, in hydras.Gamma0.Gamma0]
b:527 [binder, in hydras.Ackermann.primRec]
b:528 [binder, in hydras.Gamma0.Gamma0]
b:529 [binder, in hydras.Ackermann.primRec]
b:53 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:53 [binder, in hydras.Prelude.More_Arith]
b:53 [binder, in hydras.Prelude.DecPreOrder]
b:53 [binder, in hydras.solutions_exercises.MultisetWf]
b:53 [binder, in gaia_hydras.T1Bridge]
b:53 [binder, in hydras.Hydra.BigBattle]
b:530 [binder, in hydras.Epsilon0.T1]
b:531 [binder, in hydras.Ackermann.primRec]
b:531 [binder, in hydras.Gamma0.Gamma0]
b:533 [binder, in hydras.Epsilon0.T1]
b:533 [binder, in hydras.Ackermann.primRec]
b:534 [binder, in hydras.Gamma0.Gamma0]
b:54 [binder, in additions.More_on_positive]
b:54 [binder, in gaia_hydras.GCanon]
b:54 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:54 [binder, in hydras.Ackermann.cPair]
B:54 [binder, in hydras.Prelude.MoreVectors]
b:540 [binder, in hydras.Epsilon0.T1]
b:540 [binder, in hydras.Ackermann.primRec]
b:55 [binder, in hydras.Ackermann.LNN2LNT]
b:55 [binder, in hydras.Prelude.Comparable]
b:55 [binder, in gaia_hydras.GPaths]
b:55 [binder, in hydras.Prelude.Sort_spec]
b:55 [binder, in hydras.Ackermann.code]
B:55 [binder, in hydras.Schutte.Ordering_Functions]
b:552 [binder, in hydras.Ackermann.primRec]
b:554 [binder, in hydras.Ackermann.primRec]
b:556 [binder, in hydras.Ackermann.primRec]
b:557 [binder, in hydras.Epsilon0.T1]
b:558 [binder, in hydras.Ackermann.primRec]
b:56 [binder, in hydras.Epsilon0.Epsilon0rpo]
b:564 [binder, in hydras.Epsilon0.T1]
b:564 [binder, in hydras.Gamma0.Gamma0]
b:565 [binder, in gaia_hydras.nfwfgaia]
b:566 [binder, in hydras.Gamma0.Gamma0]
b:567 [binder, in gaia_hydras.nfwfgaia]
b:57 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:57 [binder, in hydras.Prelude.More_Arith]
b:57 [binder, in hydras.Ackermann.LNN2LNT]
b:57 [binder, in hydras.Ackermann.code]
b:57 [binder, in hydras.Schutte.Ordering_Functions]
b:570 [binder, in hydras.Gamma0.Gamma0]
b:572 [binder, in hydras.Epsilon0.T1]
b:572 [binder, in hydras.Gamma0.Gamma0]
b:576 [binder, in hydras.Epsilon0.T1]
b:58 [binder, in hydras.Prelude.Comparable]
b:58 [binder, in hydras.Prelude.DecPreOrder]
b:58 [binder, in additions.More_on_positive]
b:58 [binder, in gaia_hydras.T1Bridge]
b:58 [binder, in hydras.Prelude.MoreVectors]
b:580 [binder, in hydras.Epsilon0.T1]
b:586 [binder, in hydras.Gamma0.Gamma0]
b:587 [binder, in hydras.Ackermann.primRec]
b:588 [binder, in hydras.Gamma0.Gamma0]
b:589 [binder, in hydras.Ackermann.primRec]
b:59 [binder, in hydras.Ackermann.LNN2LNT]
b:59 [binder, in gaia_hydras.GPaths]
b:59 [binder, in hydras.Schutte.Schutte_basics]
b:591 [binder, in hydras.Ackermann.primRec]
b:593 [binder, in hydras.Ackermann.primRec]
b:593 [binder, in hydras.Gamma0.Gamma0]
b:595 [binder, in hydras.Ackermann.primRec]
b:597 [binder, in hydras.Ackermann.primRec]
b:597 [binder, in hydras.Gamma0.Gamma0]
b:599 [binder, in hydras.Epsilon0.T1]
b:599 [binder, in hydras.Ackermann.primRec]
b:6 [binder, in hydras.Ackermann.folProof]
b:6 [binder, in gaia_hydras.GPaths]
b:6 [binder, in hydras.Prelude.Sort_spec]
b:6 [binder, in hydras.Ackermann.prLogic]
b:6 [binder, in hydras.Ackermann.NNtheory]
b:6 [binder, in hydras.Ackermann.ListExt]
b:6 [binder, in hydras.Ackermann.folLogic3]
b:6 [binder, in hydras.Gamma0.Gamma0]
b:60 [binder, in hydras.Prelude.Comparable]
b:60 [binder, in hydras.Schutte.Schutte_basics]
B:60 [binder, in hydras.Schutte.Ordering_Functions]
b:603 [binder, in hydras.Epsilon0.T1]
b:604 [binder, in gaia_hydras.nfwfgaia]
b:605 [binder, in hydras.Gamma0.Gamma0]
b:61 [binder, in hydras.Schutte.Correctness_E0]
b:61 [binder, in hydras.Prelude.DecPreOrder_Instances]
B:61 [binder, in hydras.Prelude.Sort_spec]
b:61 [binder, in hydras.Hydra.BigBattle]
b:611 [binder, in gaia_hydras.nfwfgaia]
b:615 [binder, in gaia_hydras.nfwfgaia]
b:62 [binder, in hydras.Prelude.Comparable]
b:62 [binder, in hydras.Schutte.Ordering_Functions]
b:620 [binder, in hydras.Epsilon0.T1]
b:628 [binder, in hydras.Epsilon0.T1]
b:628 [binder, in gaia_hydras.nfwfgaia]
b:63 [binder, in hydras.Prelude.DecPreOrder]
b:63 [binder, in gaia_hydras.T1Bridge]
b:63 [binder, in hydras.Ackermann.cPair]
b:63 [binder, in hydras.Schutte.Schutte_basics]
b:630 [binder, in gaia_hydras.nfwfgaia]
b:634 [binder, in hydras.Gamma0.Gamma0]
b:638 [binder, in hydras.Gamma0.Gamma0]
b:64 [binder, in hydras.Prelude.Comparable]
b:64 [binder, in hydras.Ackermann.cPair]
b:64 [binder, in hydras.Hydra.BigBattle]
b:64 [binder, in hydras.Schutte.PartialFun]
b:64 [binder, in hydras.OrdinalNotations.ON_Generic]
b:65 [binder, in gaia_hydras.GPaths]
b:65 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:65 [binder, in hydras.Ackermann.code]
b:65 [binder, in hydras.Schutte.Schutte_basics]
B:65 [binder, in hydras.Schutte.Ordering_Functions]
B:654 [binder, in hydras.Ackermann.checkPrf]
b:656 [binder, in hydras.Ackermann.checkPrf]
b:658 [binder, in hydras.Ackermann.checkPrf]
b:66 [binder, in hydras.Epsilon0.T1]
B:66 [binder, in Goedel.PRrepresentable]
b:66 [binder, in hydras.Prelude.Comparable]
b:66 [binder, in hydras.Ackermann.cPair]
B:66 [binder, in hydras.Schutte.PartialFun]
b:660 [binder, in hydras.Ackermann.checkPrf]
b:662 [binder, in hydras.Ackermann.checkPrf]
b:664 [binder, in hydras.Ackermann.checkPrf]
b:666 [binder, in hydras.Ackermann.checkPrf]
b:668 [binder, in hydras.Ackermann.checkPrf]
b:67 [binder, in hydras.Ackermann.code]
b:67 [binder, in hydras.Schutte.Schutte_basics]
B:67 [binder, in hydras.Hydra.Hydra_Lemmas]
B:67 [binder, in hydras.Ackermann.expressible]
b:670 [binder, in hydras.Ackermann.checkPrf]
b:670 [binder, in hydras.Gamma0.Gamma0]
b:672 [binder, in hydras.Ackermann.checkPrf]
b:672 [binder, in hydras.Gamma0.Gamma0]
b:672 [binder, in gaia_hydras.nfwfgaia]
b:674 [binder, in hydras.Ackermann.checkPrf]
b:676 [binder, in hydras.Ackermann.checkPrf]
b:678 [binder, in hydras.Ackermann.checkPrf]
b:679 [binder, in hydras.Ackermann.primRec]
b:68 [binder, in hydras.Prelude.Comparable]
b:68 [binder, in hydras.Prelude.DecPreOrder]
b:68 [binder, in gaia_hydras.T1Bridge]
b:68 [binder, in hydras.Ackermann.cPair]
b:68 [binder, in hydras.Hydra.BigBattle]
B:68 [binder, in hydras.Schutte.Ordering_Functions]
b:683 [binder, in hydras.Ackermann.primRec]
b:686 [binder, in hydras.Ackermann.primRec]
b:688 [binder, in hydras.Ackermann.primRec]
b:69 [binder, in gaia_hydras.GPaths]
b:69 [binder, in hydras.Ackermann.code]
b:69 [binder, in hydras.Hydra.BigBattle]
b:690 [binder, in hydras.Ackermann.primRec]
b:690 [binder, in hydras.Gamma0.Gamma0]
b:692 [binder, in hydras.Ackermann.primRec]
b:695 [binder, in hydras.Ackermann.primRec]
b:696 [binder, in gaia_hydras.nfwfgaia]
b:698 [binder, in hydras.Ackermann.primRec]
b:698 [binder, in gaia_hydras.nfwfgaia]
b:7 [binder, in hydras.OrdinalNotations.ON_O]
b:7 [binder, in hydras.solutions_exercises.MorePRExamples]
B:7 [binder, in hydras.Schutte.Ordering_Functions]
B:70 [binder, in Goedel.PRrepresentable]
b:70 [binder, in hydras.Prelude.Comparable]
b:70 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:70 [binder, in hydras.Ackermann.cPair]
b:70 [binder, in hydras.Schutte.Schutte_basics]
b:70 [binder, in hydras.Ackermann.folLogic3]
b:70 [binder, in hydras.rpo.dickson]
b:70 [binder, in hydras.Schutte.Ordering_Functions]
b:701 [binder, in hydras.Ackermann.primRec]
b:706 [binder, in hydras.Ackermann.primRec]
b:708 [binder, in hydras.Epsilon0.T1]
b:71 [binder, in hydras.Ackermann.code]
b:712 [binder, in hydras.Ackermann.primRec]
b:715 [binder, in hydras.Ackermann.primRec]
b:719 [binder, in hydras.Ackermann.primRec]
b:72 [binder, in gaia_hydras.GPaths]
b:72 [binder, in hydras.Ackermann.cPair]
b:72 [binder, in hydras.Ackermann.folLogic3]
B:72 [binder, in hydras.Schutte.Ordering_Functions]
b:72 [binder, in hydras.Prelude.MoreVectors]
b:721 [binder, in gaia_hydras.nfwfgaia]
b:723 [binder, in hydras.Ackermann.primRec]
b:724 [binder, in hydras.Epsilon0.T1]
b:728 [binder, in gaia_hydras.nfwfgaia]
b:73 [binder, in hydras.Epsilon0.T1]
b:73 [binder, in hydras.Prelude.Comparable]
b:73 [binder, in hydras.Ackermann.code]
B:73 [binder, in hydras.Schutte.PartialFun]
b:73 [binder, in hydras.Schutte.Schutte_basics]
B:73 [binder, in hydras.Schutte.Ordering_Functions]
b:73 [binder, in hydras.rpo.rpo]
b:730 [binder, in gaia_hydras.nfwfgaia]
b:731 [binder, in hydras.Epsilon0.T1]
b:732 [binder, in gaia_hydras.nfwfgaia]
b:734 [binder, in gaia_hydras.nfwfgaia]
b:736 [binder, in hydras.Epsilon0.T1]
b:738 [binder, in gaia_hydras.nfwfgaia]
b:74 [binder, in hydras.Epsilon0.Hessenberg]
b:74 [binder, in hydras.Prelude.DecPreOrder]
b:74 [binder, in gaia_hydras.T1Bridge]
b:74 [binder, in hydras.Ackermann.cPair]
b:74 [binder, in hydras.Schutte.Ordering_Functions]
B:74 [binder, in hydras.Prelude.MoreVectors]
b:740 [binder, in gaia_hydras.nfwfgaia]
b:75 [binder, in hydras.Prelude.Comparable]
b:75 [binder, in hydras.Ackermann.code]
b:757 [binder, in hydras.Ackermann.checkPrf]
b:76 [binder, in hydras.Gamma0.T2]
b:76 [binder, in gaia_hydras.GPaths]
b:76 [binder, in hydras.Ackermann.cPair]
b:76 [binder, in hydras.Schutte.Schutte_basics]
b:76 [binder, in hydras.OrdinalNotations.ON_Generic]
b:761 [binder, in hydras.Ackermann.checkPrf]
b:761 [binder, in gaia_hydras.nfwfgaia]
b:765 [binder, in gaia_hydras.nfwfgaia]
b:77 [binder, in hydras.Prelude.Comparable]
b:777 [binder, in gaia_hydras.nfwfgaia]
b:78 [binder, in hydras.Epsilon0.Hessenberg]
b:78 [binder, in hydras.Ackermann.cPair]
b:78 [binder, in hydras.Schutte.Ordering_Functions]
b:781 [binder, in gaia_hydras.nfwfgaia]
b:785 [binder, in gaia_hydras.nfwfgaia]
b:787 [binder, in hydras.Ackermann.checkPrf]
b:788 [binder, in gaia_hydras.nfwfgaia]
b:789 [binder, in hydras.Ackermann.checkPrf]
b:79 [binder, in hydras.Gamma0.T2]
b:79 [binder, in hydras.Prelude.Comparable]
b:79 [binder, in hydras.OrdinalNotations.ON_Generic]
b:791 [binder, in hydras.Ackermann.primRec]
b:793 [binder, in gaia_hydras.nfwfgaia]
b:794 [binder, in hydras.Ackermann.primRec]
b:797 [binder, in hydras.Ackermann.primRec]
b:8 [binder, in hydras.Gamma0.T2]
b:8 [binder, in hydras.Ackermann.folLogic2]
b:8 [binder, in gaia_hydras.T1Bridge]
b:8 [binder, in hydras.Ackermann.NNtheory]
b:8 [binder, in gaia_hydras.T2Bridge]
b:8 [binder, in hydras.MoreAck.PrimRecExamples]
b:80 [binder, in hydras.Epsilon0.T1]
b:80 [binder, in hydras.Prelude.DecPreOrder]
b:80 [binder, in hydras.Ackermann.codeSubFormula]
b:80 [binder, in gaia_hydras.T1Bridge]
b:80 [binder, in hydras.Schutte.Schutte_basics]
b:80 [binder, in hydras.Ackermann.folLogic3]
b:80 [binder, in hydras.rpo.list_permut]
b:801 [binder, in hydras.Ackermann.primRec]
b:802 [binder, in hydras.Ackermann.primRec]
b:803 [binder, in hydras.Ackermann.primRec]
b:807 [binder, in hydras.Ackermann.primRec]
b:808 [binder, in hydras.Ackermann.primRec]
b:809 [binder, in hydras.Ackermann.primRec]
b:81 [binder, in hydras.Prelude.Comparable]
b:81 [binder, in gaia_hydras.GPaths]
b:812 [binder, in hydras.Ackermann.primRec]
b:82 [binder, in hydras.Ackermann.cPair]
b:82 [binder, in hydras.Schutte.Schutte_basics]
b:82 [binder, in hydras.Ackermann.folLogic3]
B:82 [binder, in hydras.Schutte.Ordering_Functions]
b:83 [binder, in hydras.Prelude.Comparable]
b:83 [binder, in gaia_hydras.T1Bridge]
B:83 [binder, in hydras.Schutte.PartialFun]
b:838 [binder, in hydras.Ackermann.codeSubFormula]
b:84 [binder, in hydras.Ackermann.cPair]
b:84 [binder, in hydras.Schutte.Schutte_basics]
b:841 [binder, in hydras.Ackermann.codeSubFormula]
b:843 [binder, in gaia_hydras.nfwfgaia]
b:849 [binder, in hydras.Ackermann.codeSubFormula]
b:85 [binder, in hydras.Epsilon0.T1]
b:85 [binder, in hydras.Prelude.Comparable]
b:85 [binder, in gaia_hydras.T1Bridge]
B:85 [binder, in hydras.OrdinalNotations.ON_Generic]
b:850 [binder, in hydras.Ackermann.checkPrf]
b:852 [binder, in hydras.Ackermann.checkPrf]
b:853 [binder, in hydras.Ackermann.codeSubFormula]
b:853 [binder, in gaia_hydras.nfwfgaia]
b:854 [binder, in hydras.Ackermann.checkPrf]
b:855 [binder, in hydras.Ackermann.codeSubFormula]
b:856 [binder, in hydras.Ackermann.checkPrf]
b:857 [binder, in hydras.Ackermann.codeSubFormula]
b:86 [binder, in hydras.Ackermann.folLogic3]
b:861 [binder, in gaia_hydras.nfwfgaia]
b:866 [binder, in gaia_hydras.nfwfgaia]
b:869 [binder, in hydras.Ackermann.codeSubFormula]
b:87 [binder, in hydras.Prelude.Comparable]
b:87 [binder, in hydras.Epsilon0.Hessenberg]
b:87 [binder, in hydras.OrdinalNotations.OmegaOmega]
b:87 [binder, in gaia_hydras.T1Bridge]
b:87 [binder, in gaia_hydras.nfwfgaia]
b:872 [binder, in hydras.Ackermann.codeSubFormula]
b:886 [binder, in gaia_hydras.nfwfgaia]
b:89 [binder, in hydras.Epsilon0.T1]
b:89 [binder, in hydras.Epsilon0.Hessenberg]
B:89 [binder, in hydras.Schutte.PartialFun]
b:89 [binder, in hydras.Schutte.Schutte_basics]
b:89 [binder, in hydras.MoreAck.PrimRecExamples]
b:893 [binder, in hydras.Ackermann.codeSubFormula]
b:895 [binder, in gaia_hydras.nfwfgaia]
b:896 [binder, in hydras.Ackermann.codeSubFormula]
b:899 [binder, in gaia_hydras.nfwfgaia]
B:9 [binder, in hydras.Prelude.DecPreOrder_Instances]
b:9 [binder, in hydras.Ackermann.extEqualNat]
b:9 [binder, in hydras.rpo.dickson]
b:9 [binder, in hydras.MoreAck.FolExamples]
b:90 [binder, in hydras.Prelude.Comparable]
b:903 [binder, in gaia_hydras.nfwfgaia]
b:909 [binder, in hydras.Ackermann.codeSubFormula]
b:91 [binder, in hydras.Gamma0.T2]
b:91 [binder, in hydras.Epsilon0.Hessenberg]
b:91 [binder, in hydras.Schutte.Schutte_basics]
b:911 [binder, in gaia_hydras.nfwfgaia]
b:912 [binder, in hydras.Ackermann.codeSubFormula]
b:92 [binder, in hydras.Prelude.Comparable]
b:92 [binder, in hydras.Prelude.DecPreOrder]
b:92 [binder, in hydras.OrdinalNotations.ON_Generic]
b:924 [binder, in gaia_hydras.nfwfgaia]
b:926 [binder, in gaia_hydras.nfwfgaia]
b:928 [binder, in gaia_hydras.nfwfgaia]
B:93 [binder, in Goedel.PRrepresentable]
b:93 [binder, in hydras.Epsilon0.Hessenberg]
b:93 [binder, in hydras.Schutte.Schutte_basics]
b:930 [binder, in gaia_hydras.nfwfgaia]
b:932 [binder, in gaia_hydras.nfwfgaia]
b:936 [binder, in hydras.Ackermann.codeSubFormula]
b:939 [binder, in hydras.Ackermann.codeSubFormula]
b:939 [binder, in gaia_hydras.nfwfgaia]
b:94 [binder, in hydras.Prelude.Comparable]
b:94 [binder, in hydras.Prelude.Merge_Sort]
b:94 [binder, in gaia_hydras.T1Bridge]
b:945 [binder, in gaia_hydras.nfwfgaia]
b:95 [binder, in hydras.Epsilon0.Hessenberg]
b:95 [binder, in hydras.Ackermann.folLogic3]
b:954 [binder, in gaia_hydras.nfwfgaia]
b:957 [binder, in gaia_hydras.nfwfgaia]
b:959 [binder, in gaia_hydras.nfwfgaia]
b:96 [binder, in gaia_hydras.T1Bridge]
b:961 [binder, in gaia_hydras.nfwfgaia]
b:963 [binder, in gaia_hydras.nfwfgaia]
b:965 [binder, in gaia_hydras.nfwfgaia]
b:97 [binder, in hydras.Prelude.DecPreOrder]
B:97 [binder, in hydras.OrdinalNotations.ON_Generic]
b:98 [binder, in hydras.Prelude.Comparable]
b:98 [binder, in gaia_hydras.T1Bridge]
b:989 [binder, in gaia_hydras.nfwfgaia]
b:99 [binder, in hydras.Epsilon0.Hessenberg]
b:993 [binder, in gaia_hydras.nfwfgaia]
b:999 [binder, in gaia_hydras.nfwfgaia]

C

callIsPR [instance, in hydras.Ackermann.cPair]
call_lt_wf [lemma, in hydras.Epsilon0.F_alpha]
call_lt [definition, in hydras.Epsilon0.F_alpha]
canon [definition, in hydras.OrdinalNotations.ON_Omega2]
canon [definition, in gaia_hydras.GCanon]
Canon [definition, in hydras.Epsilon0.Canon]
canon [definition, in hydras.Epsilon0.Canon]
Canon [library]
canonS [abbreviation, in gaia_hydras.GCanon]
CanonSSn [lemma, in hydras.Epsilon0.Canon]
canonSSn [abbreviation, in hydras.Epsilon0.Canon]
canonS_rel_rounds [lemma, in hydras.Hydra.O2H]
canonS_iota [lemma, in hydras.Hydra.O2H]
canonS_iota_i [lemma, in hydras.Hydra.O2H]
canonS_iota_final [lemma, in hydras.Hydra.O2H]
canonS_iota_6 [lemma, in hydras.Hydra.O2H]
canonS_iota_5 [lemma, in hydras.Hydra.O2H]
canonS_iota_4 [lemma, in hydras.Hydra.O2H]
canonS_ocons_succE [lemma, in gaia_hydras.GCanon]
canonS_zero_inv [lemma, in gaia_hydras.GCanon]
canonS_phi0_succE [lemma, in gaia_hydras.GCanon]
canonS_cons_not_zero [lemma, in gaia_hydras.GCanon]
canonS_lt [lemma, in gaia_hydras.GCanon]
canonS_LE [lemma, in gaia_hydras.GCanon]
CanonS_phi0_Succ [lemma, in hydras.Epsilon0.Canon]
CanonS_lt [lemma, in hydras.Epsilon0.Canon]
CanonS_phi0_lim [lemma, in hydras.Epsilon0.Canon]
canonS_LE [lemma, in hydras.Epsilon0.Canon]
canonS_limit_mono [lemma, in hydras.Epsilon0.Canon]
canonS_limit_lub [lemma, in hydras.Epsilon0.Canon]
canonS_limit_strong [lemma, in hydras.Epsilon0.Canon]
canonS_cons_not_zero [lemma, in hydras.Epsilon0.Canon]
canonS_LT [lemma, in hydras.Epsilon0.Canon]
canonS_zero_inv [lemma, in hydras.Epsilon0.Canon]
canonS_cons_succ_eqn2 [lemma, in hydras.Epsilon0.Canon]
canonS_phi0_succ_eqn [lemma, in hydras.Epsilon0.Canon]
canonS_succ [lemma, in hydras.Epsilon0.Canon]
canonS_lim2 [lemma, in hydras.Epsilon0.Canon]
canonS_lim1 [lemma, in hydras.Epsilon0.Canon]
CanonS_Phi0_Succ_eqn [lemma, in hydras.Epsilon0.Paths]
CanonS_plus_1 [lemma, in hydras.Epsilon0.Paths]
Canon_plus [definition, in gaia_hydras.GF_alpha]
Canon_plus [definition, in gaia_hydras.GPaths]
canon_limit_of [lemma, in gaia_hydras.GCanon]
canon_limit_mono [lemma, in gaia_hydras.GCanon]
canon_limit_strong [lemma, in gaia_hydras.GCanon]
canon_lim3 [lemma, in gaia_hydras.GCanon]
canon_lim2 [lemma, in gaia_hydras.GCanon]
canon_tail [lemma, in gaia_hydras.GCanon]
canon_lim1 [lemma, in gaia_hydras.GCanon]
canon_SSn_zero [lemma, in gaia_hydras.GCanon]
canon_lt [lemma, in gaia_hydras.GCanon]
canon_succ [lemma, in gaia_hydras.GCanon]
canon_not_null [lemma, in hydras.Epsilon0.Large_Sets]
Canon_of_limit_not_null [lemma, in hydras.Epsilon0.Canon]
Canon_lt [lemma, in hydras.Epsilon0.Canon]
Canon_Omega [lemma, in hydras.Epsilon0.Canon]
Canon_Succ [lemma, in hydras.Epsilon0.Canon]
canon_limit_mono [lemma, in hydras.Epsilon0.Canon]
canon_limit_strong [lemma, in hydras.Epsilon0.Canon]
canon_lt [lemma, in hydras.Epsilon0.Canon]
canon_LT [lemma, in hydras.Epsilon0.Canon]
canon_SSn_zero [lemma, in hydras.Epsilon0.Canon]
canon_succ [lemma, in hydras.Epsilon0.Canon]
canon_lim3 [lemma, in hydras.Epsilon0.Canon]
canon_lim2 [lemma, in hydras.Epsilon0.Canon]
canon_lim1 [lemma, in hydras.Epsilon0.Canon]
canon_tail [lemma, in hydras.Epsilon0.Canon]
canon_zero [lemma, in hydras.Epsilon0.Canon]
Canon_examples [section, in hydras.Epsilon0.Canon]
Canon_plus_first_step_lim [lemma, in hydras.Epsilon0.Paths]
Canon_plus_first_step [lemma, in hydras.Epsilon0.Paths]
Canon_mono1 [lemma, in hydras.Epsilon0.Paths]
Canon_plus_inv [lemma, in hydras.Epsilon0.Paths]
Canon_plus [definition, in hydras.Epsilon0.Paths]
canon0_lt [lemma, in gaia_hydras.GCanon]
canon0_phi0_succE [lemma, in gaia_hydras.GCanon]
canon0_LT [lemma, in hydras.Epsilon0.Canon]
canon0_cons_succ_eqn2 [lemma, in hydras.Epsilon0.Canon]
canon0_phi0_succ_eqn [lemma, in hydras.Epsilon0.Canon]
canon0_succ [lemma, in hydras.Epsilon0.Canon]
canon0_lim2 [lemma, in hydras.Epsilon0.Canon]
CantorOrdinal [module, in gaia_hydras.nfwfgaia]
CantorOrdinal.addC_CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.AddLocalNotation [section, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_normal [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le4 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_inj [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_to_cons [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_fin_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add_int [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.add1Nfin [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr4 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr2CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.cantorCE2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.cantorCE3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_CE1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_unique [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_exists [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.CompareT1Eq [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.CompareT1Gt [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.CompareT1Lt [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.compare_T1 [inductive, in gaia_hydras.nfwfgaia]
CantorOrdinal.cons [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.div_by_omega_pr [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_eq1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_eq0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_1n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_mul [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_add [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_add [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_eq1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_eq0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_1n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_n0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_mul1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expx_nat [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expx_pnat [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expx0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expx1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.expx1CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_prod [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_sum [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_consCE1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_int [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_eq1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_eq0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_O [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_F [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp0nz [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp00 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp1x [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.exp2omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ex_middle_pick [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.ex_middle [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.fincP [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.fooCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.head_lt_cons [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.le_succ_succE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.le_succ_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_prop [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_fct [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_lub [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_of [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_v2 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_v1 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_pr [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_pr1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.limit3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.LT [abbreviation, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_4 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_succE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ2CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_not_wf [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.minus_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.minus_lt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.min_exists [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mulA [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mulnf0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_pr3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega2_pr1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_pr1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_sum_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_limit [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_int_limit [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_fin_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_distr [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_phi0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_int [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_na [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_exp [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_expF [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_expO [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_prod [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_sum [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_unique [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_revCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_div_by_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_mul [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_toNF [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_omega_plus_n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_sub [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_add [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_pred [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_log [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_phi0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_finite [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_split [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_Wf' [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_Wf [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.normal [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_compose [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_limit [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_id [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_plus_n [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower_unbounded [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower_nf [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_minus_one [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.one [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_log [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_lt1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_lt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi1 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi2 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.phi3 [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.plus_int_Ox [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon3 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_succ_CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_lt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_add [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_limit1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_pred [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_finite [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_is_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.split_limit [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1rCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_nzCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_nz [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1r [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_le1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_int [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_1bCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_1aCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1a [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1b [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1Nfin [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_is_add_one [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_injCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_inj [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_p1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_predCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_pred [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_lt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sup [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_limit [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_zero [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_unique [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.tail_lt_cons [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.Tf [abbreviation, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_pred [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_ex2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_ex1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_mon [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_nf [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_nz [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1 [inductive, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addA [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addn0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addS [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add_eq0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add0n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ap [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ap_phi0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1bad [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1div_by_omega [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eqE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eqP [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_mul2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_add2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1exp [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite_succ [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite2CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1F_inj [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GeqNotGtn [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GeqNotLtn [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ge1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GtnNotLeq [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1is_succ [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leNgt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lenn [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1len0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leP [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leq_xor_gtn [inductive, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmull [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mulCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulrl [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulrCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulr [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul2r [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_add2r [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_add2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_cons_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_trans [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_lt_trans [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_total [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_consE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_eqVlt [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le0n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1limit [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp2 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_prod [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_phi0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltgtP [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltNge [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltnn [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1LtnNotGeq [constructor, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltn_xor_geq [inductive, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltn0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltP [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltW [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_mul2r [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_mul2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_add2r [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_add2l [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_cons_le [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_le_trans [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_trans [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_anti [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_trichotomy [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_neAle [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_ne' [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_ne [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt0n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln1_CE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_omega [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_eq1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_eq0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul0n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul1n [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul1nCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nat [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nat_inc [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nfCE [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_rect [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_finite [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_finite1 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_consb [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_consa [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_cons_cons [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_cons0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1omega [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1phi0_zero' [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1phi0_zero [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1pred [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1split [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1sub [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1subnn [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1subn0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1sub0 [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1succ [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1succ_nat [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1transfinite_induction_Q [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1transfinite_induction [lemma, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1_eqType [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.T1_eqMixin [definition, in gaia_hydras.nfwfgaia]
CantorOrdinal.zero [constructor, in gaia_hydras.nfwfgaia]
_ ^ _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ * _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ - _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ + _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ > _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ >= _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ <= _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
_ < _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
\F _ (cantor_scope) [notation, in gaia_hydras.nfwfgaia]
Cantor_normal_form [lemma, in hydras.Epsilon0.T1]
cases_for_mult [lemma, in hydras.Epsilon0.T1]
case_Eq [lemma, in hydras.Schutte.Correctness_E0]
case_gt [lemma, in hydras.Schutte.Correctness_E0]
case_lt [lemma, in hydras.Schutte.Correctness_E0]
cf:11 [binder, in hydras.Ackermann.code]
cf:14 [binder, in hydras.Ackermann.code]
cf:17 [binder, in hydras.Ackermann.code]
cf:2 [binder, in hydras.Ackermann.codeFreeVar]
cf:2 [binder, in hydras.Ackermann.codeSubTerm]
cf:2 [binder, in hydras.Ackermann.checkPrf]
cf:2 [binder, in hydras.Ackermann.codeSubFormula]
cf:2 [binder, in hydras.Ackermann.wellFormed]
cf:2 [binder, in Goedel.codeSysPrf]
cf:2 [binder, in hydras.Ackermann.codePA]
chain [definition, in additions.Addition_Chains]
chain_gen_OK [lemma, in additions.AM]
chain_apply [definition, in additions.AM]
chain_trace [definition, in additions.Trace_exercise]
chain_gen_OK [lemma, in additions.Euclidean_Chains]
chain_type [definition, in additions.Euclidean_Chains]
chain_generator [definition, in additions.Addition_Chains]
chain_correct [definition, in additions.Addition_Chains]
chain_correct_nat [definition, in additions.Addition_Chains]
chain_apply [definition, in additions.Addition_Chains]
chain_execute [definition, in additions.Addition_Chains]
chain_length [definition, in additions.Addition_Chains]
charFunction [definition, in hydras.Ackermann.extEqualNat]
checkPrf [definition, in hydras.Ackermann.checkPrf]
checkPrf [library]
checkPrfAXM [definition, in hydras.Ackermann.checkPrf]
checkPrfAXMIsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfCorrect1 [lemma, in hydras.Ackermann.checkPrf]
checkPrfCorrect2 [lemma, in hydras.Ackermann.checkPrf]
checkPrfCP [definition, in hydras.Ackermann.checkPrf]
checkPrfCPIsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfEQnIsPR [lemma, in hydras.Ackermann.checkPrf]
checkPrfEQ1 [definition, in hydras.Ackermann.checkPrf]
checkPrfEQ1IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfEQ2 [definition, in hydras.Ackermann.checkPrf]
checkPrfEQ2IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfEQ3 [definition, in hydras.Ackermann.checkPrf]
checkPrfEQ3IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfEQ4 [definition, in hydras.Ackermann.checkPrf]
checkPrfEQ4IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfEQ5 [definition, in hydras.Ackermann.checkPrf]
checkPrfEQ5IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfFA1 [definition, in hydras.Ackermann.checkPrf]
checkPrfFA1IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfFA2 [definition, in hydras.Ackermann.checkPrf]
checkPrfFA2IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfFA3 [definition, in hydras.Ackermann.checkPrf]
checkPrfFA3IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfGEN [definition, in hydras.Ackermann.checkPrf]
checkPrfGENIsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfHelp [definition, in hydras.Ackermann.checkPrf]
checkPrfHelpIsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfIMP1 [definition, in hydras.Ackermann.checkPrf]
checkPrfIMP1IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfIMP2 [definition, in hydras.Ackermann.checkPrf]
checkPrfIMP2IsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfIsPR [instance, in hydras.Ackermann.checkPrf]
checkPrfMP [definition, in hydras.Ackermann.checkPrf]
checkPrfMPIsPR [instance, in hydras.Ackermann.checkPrf]
checkSubFormulaTrace [definition, in hydras.Ackermann.codeSubFormula]
checkTraceCorrect [lemma, in hydras.Ackermann.codeSubFormula]
checkTraceIsPR [instance, in hydras.Ackermann.codeSubFormula]
Check_Proof.Prf [variable, in hydras.Ackermann.checkPrf]
Check_Proof.wellFormedFormula [variable, in hydras.Ackermann.checkPrf]
Check_Proof.wellFormedTerm [variable, in hydras.Ackermann.checkPrf]
Check_Proof.Formula [variable, in hydras.Ackermann.checkPrf]
Check_Proof.Terms [variable, in hydras.Ackermann.checkPrf]
Check_Proof.Term [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeRInj [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeFInj [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityRIsCorrect2 [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityRIsCorrect1 [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityFIsCorrect2 [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityFIsCorrect1 [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityR [variable, in hydras.Ackermann.checkPrf]
Check_Proof.codeArityF [variable, in hydras.Ackermann.checkPrf]
Check_Proof.L [variable, in hydras.Ackermann.checkPrf]
Check_Proof [section, in hydras.Ackermann.checkPrf]
ch:345 [binder, in additions.Euclidean_Chains]
ch:346 [binder, in additions.Euclidean_Chains]
ch:349 [binder, in additions.Euclidean_Chains]
ch:350 [binder, in additions.Euclidean_Chains]
classic_battle [definition, in hydras.Hydra.Hydra_Lemmas]
classification [lemma, in hydras.Schutte.Schutte_basics]
clog2 [definition, in additions.Addition_Chains]
close [definition, in hydras.Ackermann.folProp]
close [section, in hydras.Ackermann.codePA]
closed [definition, in hydras.Ackermann.folProp]
Closed [definition, in hydras.Schutte.Schutte_basics]
closedNatToTerm [lemma, in hydras.Ackermann.LNN]
closedNatToTerm [lemma, in hydras.Ackermann.LNT]
closedNN [lemma, in hydras.Ackermann.NN]
closedNN1 [lemma, in hydras.Ackermann.NN]
closedPA [lemma, in hydras.Ackermann.PA]
closedPA1 [lemma, in hydras.Ackermann.PA]
ClosedSystem [definition, in hydras.Ackermann.folProp]
closedT [lemma, in hydras.Ackermann.expressible]
Closed_Cr [lemma, in hydras.Schutte.Critical]
closeFrom [definition, in hydras.Ackermann.subAll]
closeList [definition, in hydras.Ackermann.folProp]
close.codeFormula [variable, in hydras.Ackermann.codePA]
close.Formula [variable, in hydras.Ackermann.codePA]
close.L [variable, in hydras.Ackermann.codePA]
closure [library]
cl:19 [binder, in hydras.Ackermann.code]
cL:4 [binder, in hydras.Ackermann.codeFreeVar]
cL:4 [binder, in hydras.Ackermann.codeSubTerm]
cL:4 [binder, in hydras.Ackermann.checkPrf]
cL:4 [binder, in hydras.Ackermann.codeSubFormula]
cL:4 [binder, in hydras.Ackermann.wellFormed]
cL:4 [binder, in Goedel.codeSysPrf]
cL:4 [binder, in hydras.Ackermann.codePA]
cmpA:3 [binder, in hydras.OrdinalNotations.ON_mult]
cmpA:3 [binder, in hydras.OrdinalNotations.ON_plus]
cmpA:4 [binder, in hydras.OrdinalNotations.ON_O]
cmpB:7 [binder, in hydras.OrdinalNotations.ON_mult]
cmpB:7 [binder, in hydras.OrdinalNotations.ON_plus]
cmp:13 [binder, in hydras.OrdinalNotations.ON_Generic]
cmp:14 [binder, in hydras.Prelude.Comparable]
cmp:3 [binder, in hydras.solutions_exercises.lt_succ_le]
cmp:3 [binder, in hydras.OrdinalNotations.ON_Generic]
cmp:4 [binder, in hydras.solutions_exercises.predSuccUnicity]
cmp:6 [binder, in hydras.Prelude.Comparable]
cmp:9 [binder, in hydras.OrdinalNotations.ON_Generic]
cm:106 [binder, in additions.fib]
cm:113 [binder, in additions.fib]
cm:124 [binder, in additions.fib]
cnf [projection, in gaia_hydras.T1Bridge]
cnf [projection, in hydras.Epsilon0.E0]
CNF [library]
cnf_of_epsilon0 [lemma, in hydras.Schutte.CNF]
cnf_lt_epsilon0 [lemma, in hydras.Schutte.CNF]
cnf_exists_unique [lemma, in hydras.Schutte.CNF]
cnf_unicity [lemma, in hydras.Schutte.CNF]
cnf_exists [lemma, in hydras.Schutte.CNF]
cnf_plus [lemma, in hydras.Schutte.CNF]
cnf_plus2 [lemma, in hydras.Schutte.CNF]
cnf_plus1 [lemma, in hydras.Schutte.CNF]
cnf_eq [lemma, in hydras.Schutte.CNF]
cnf_head_eq [lemma, in hydras.Schutte.CNF]
cnf_of_ap [lemma, in hydras.Schutte.CNF]
cnf_t [definition, in hydras.Schutte.CNF]
cnf_Cons [lemma, in hydras.Epsilon0.E0]
cnf_Omega_term [lemma, in hydras.Epsilon0.E0]
cnf_Succ [lemma, in hydras.Epsilon0.E0]
cnf_phi0 [lemma, in hydras.Epsilon0.E0]
cnf_rw [lemma, in hydras.Epsilon0.E0]
cnf_ok [projection, in hydras.Epsilon0.E0]
code [definition, in additions.AM]
code [library]
codeAnd [definition, in hydras.Ackermann.code]
codeAndCorrect [lemma, in hydras.Ackermann.code]
codeAndIsPR [instance, in hydras.Ackermann.checkPrf]
codeApp [definition, in hydras.Ackermann.codeList]
codeAppCorrect [lemma, in hydras.Ackermann.codeList]
codeAppIsPR [instance, in hydras.Ackermann.codeList]
codeArityFIsPR:6 [binder, in hydras.Ackermann.wellFormed]
codeArityFIsPR:7 [binder, in hydras.Ackermann.checkPrf]
codeArityFIsPR:7 [binder, in Goedel.codeSysPrf]
codeArityLNNFIsCorrect1 [lemma, in hydras.Ackermann.Languages]
codeArityLNNFIsCorrect2 [lemma, in hydras.Ackermann.Languages]
codeArityLNNR [definition, in hydras.Ackermann.Languages]
codeArityLNNRIsCorrect1 [lemma, in hydras.Ackermann.Languages]
codeArityLNNRIsCorrect2 [lemma, in hydras.Ackermann.Languages]
codeArityLNNRIsPR [instance, in hydras.Ackermann.Languages]
codeArityLNTF [definition, in hydras.Ackermann.Languages]
codeArityLNTFIsCorrect1 [lemma, in hydras.Ackermann.Languages]
codeArityLNTFIsCorrect2 [lemma, in hydras.Ackermann.Languages]
codeArityLNTFIsPR [instance, in hydras.Ackermann.Languages]
codeArityLNTR [definition, in hydras.Ackermann.Languages]
codeArityLNTRIsCorrect1 [lemma, in hydras.Ackermann.Languages]
codeArityLNTRIsCorrect2 [lemma, in hydras.Ackermann.Languages]
codeArityLNTRIsPR [instance, in hydras.Ackermann.Languages]
codeArityRIsPR:13 [binder, in hydras.Ackermann.checkPrf]
codeArityRIsPR:13 [binder, in Goedel.codeSysPrf]
codeArityRIsPR:181 [binder, in hydras.Ackermann.wellFormed]
codeAxmEqHelp [definition, in hydras.Ackermann.checkPrf]
codeAxmEqHelpIsPR [instance, in hydras.Ackermann.checkPrf]
codeClose [definition, in hydras.Ackermann.codePA]
codeCloseCorrect [lemma, in hydras.Ackermann.codePA]
codeCloseIsPR [instance, in hydras.Ackermann.codePA]
codeCloseList [definition, in hydras.Ackermann.codePA]
codeCloseListCorrect [lemma, in hydras.Ackermann.codePA]
codeCloseListIsPR [instance, in hydras.Ackermann.codePA]
codeF [definition, in hydras.Ackermann.code]
codeFInj [projection, in hydras.Ackermann.code]
codeFNN [definition, in Goedel.goedel1]
codeForall [definition, in hydras.Ackermann.code]
codeForallCorrect [lemma, in hydras.Ackermann.code]
codeForallIsPR [lemma, in hydras.Ackermann.prLogic]
codeFormula [definition, in hydras.Ackermann.code]
codeFormula [definition, in Goedel.rosserPA]
codeFormula [definition, in Goedel.rosser]
codeFormulaInj [lemma, in hydras.Ackermann.code]
codeFreeVar [library]
codeFreeVarFormula [definition, in hydras.Ackermann.codeFreeVar]
codeFreeVarFormulaCorrect [lemma, in hydras.Ackermann.codeFreeVar]
codeFreeVarFormulaIsPR [instance, in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormula [definition, in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormulaCorrect [lemma, in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormulaIsPR [instance, in hydras.Ackermann.codeFreeVar]
codeFreeVarTerm [definition, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermCorrect [lemma, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermIsPR [lemma, in hydras.Ackermann.codeFreeVar]
codeFreeVarTerms [definition, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermsCorrect [lemma, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermsIsPR [instance, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermTerms [definition, in hydras.Ackermann.codeFreeVar]
codeFreeVarTermTermsIsPR [instance, in hydras.Ackermann.codeFreeVar]
codeIff [definition, in hydras.Ackermann.code]
codeIffCorrect [lemma, in hydras.Ackermann.code]
codeIffIsPR [instance, in hydras.Ackermann.checkPrf]
codeImp [definition, in hydras.Ackermann.code]
codeImpCorrect [lemma, in hydras.Ackermann.code]
codeImpIsPR [instance, in hydras.Ackermann.prLogic]
codeIn [definition, in hydras.Ackermann.codeList]
codeInCorrect [lemma, in hydras.Ackermann.codeList]
codeInductionSchema [definition, in hydras.Ackermann.codePA]
codeInductionSchemaCorrect1 [lemma, in hydras.Ackermann.codePA]
codeInductionSchemaCorrect2 [lemma, in hydras.Ackermann.codePA]
codeInductionSchemaCorrect3 [lemma, in hydras.Ackermann.codePA]
codeInductionSchemaIsPR [instance, in hydras.Ackermann.codePA]
codeInIsPR [instance, in hydras.Ackermann.codeList]
codeLength [definition, in hydras.Ackermann.codeList]
codeLengthCorrect [lemma, in hydras.Ackermann.codeList]
codeLengthIsPR [instance, in hydras.Ackermann.codeList]
codeList [definition, in hydras.Ackermann.cPair]
codeList [library]
codeListInj [lemma, in hydras.Ackermann.cPair]
codeListRemove [definition, in hydras.Ackermann.codeList]
codeListRemoveCorrect [lemma, in hydras.Ackermann.codeList]
codeListRemoveIsPR [instance, in hydras.Ackermann.codeList]
codeLNNRelation [definition, in hydras.Ackermann.Languages]
codeLNNRelationInj [lemma, in hydras.Ackermann.Languages]
codeLNTFunction [definition, in hydras.Ackermann.Languages]
codeLNTFunctionInj [lemma, in hydras.Ackermann.Languages]
codeLNTRelation [definition, in hydras.Ackermann.Languages]
codeLNTRelationInj [lemma, in hydras.Ackermann.Languages]
codeNatToTerm [definition, in hydras.Ackermann.codeNatToTerm]
codeNatToTerm [library]
codeNatToTermCorrectLNN [lemma, in hydras.Ackermann.codeNatToTerm]
codeNatToTermCorrectLNT [lemma, in hydras.Ackermann.codeNatToTerm]
codeNatToTermIsPR [instance, in hydras.Ackermann.codeNatToTerm]
codeNewVar [definition, in hydras.Ackermann.codeSubFormula]
codeNewVarCorrect [lemma, in hydras.Ackermann.codeSubFormula]
codeNewVarIsPR [instance, in hydras.Ackermann.codeSubFormula]
codeNoDup [definition, in hydras.Ackermann.codeList]
codeNoDupCorrect [lemma, in hydras.Ackermann.codeList]
codeNoDupIsPR [instance, in hydras.Ackermann.codeList]
codeNot [definition, in hydras.Ackermann.code]
codeNotCorrect [lemma, in hydras.Ackermann.code]
codeNotIsPR [instance, in hydras.Ackermann.prLogic]
codeNth [definition, in hydras.Ackermann.cPair]
codeNthCorrect [lemma, in hydras.Ackermann.cPair]
codeNthIsPR [instance, in hydras.Ackermann.cPair]
codeNVarsCorrect [lemma, in hydras.Ackermann.checkPrf]
codeNVars1 [definition, in hydras.Ackermann.checkPrf]
codeNVars1IsPR [instance, in hydras.Ackermann.checkPrf]
codeNVars2 [definition, in hydras.Ackermann.checkPrf]
codeNVars2IsPR [instance, in hydras.Ackermann.checkPrf]
codeOpen [definition, in hydras.Ackermann.codePA]
codeOpenCorrect [lemma, in hydras.Ackermann.codePA]
codeOpenIsPR [instance, in hydras.Ackermann.codePA]
codeOr [definition, in hydras.Ackermann.code]
codeOrCorrect [lemma, in hydras.Ackermann.code]
codeOrIsPR [instance, in hydras.Ackermann.checkPrf]
codePA [definition, in hydras.Ackermann.codePA]
codePA [library]
codePAcorrect1 [lemma, in hydras.Ackermann.codePA]
codePAcorrect2 [lemma, in hydras.Ackermann.codePA]
codePAcorrect3 [lemma, in hydras.Ackermann.codePA]
codePAIsPR [instance, in hydras.Ackermann.codePA]
codePrf [definition, in hydras.Ackermann.code]
codePrf [definition, in Goedel.rosserPA]
codePrf [definition, in Goedel.rosser]
codePrfInjAxm [lemma, in hydras.Ackermann.code]
codeR [definition, in hydras.Ackermann.code]
codeRInj [projection, in hydras.Ackermann.code]
codeSubFormula [definition, in hydras.Ackermann.codeSubFormula]
codeSubFormula [library]
codeSubFormulaCorrect [lemma, in hydras.Ackermann.codeSubFormula]
codeSubFormulaIsPR [instance, in hydras.Ackermann.codeSubFormula]
codeSubTerm [definition, in hydras.Ackermann.codeSubTerm]
codeSubTerm [library]
codeSubTermCorrect [lemma, in hydras.Ackermann.codeSubTerm]
codeSubTermIsPR [instance, in hydras.Ackermann.codeSubTerm]
codeSubTerms [definition, in hydras.Ackermann.codeSubTerm]
codeSubTermsCorrect [lemma, in hydras.Ackermann.codeSubTerm]
codeSubTermsIsPR [lemma, in hydras.Ackermann.codeSubTerm]
codeSubTermTerms [definition, in hydras.Ackermann.codeSubTerm]
codeSubTermTermsIsPR [instance, in hydras.Ackermann.codeSubTerm]
codeSysPf [definition, in Goedel.codeSysPrf]
codeSysPf [definition, in Goedel.goedel1]
codeSysPf [definition, in Goedel.goedel2]
codeSysPfCorrect [lemma, in Goedel.codeSysPrf]
codeSysPfCorrect [definition, in Goedel.goedel1]
codeSysPfCorrect [definition, in Goedel.goedel2]
codeSysPrf [definition, in Goedel.rosserPA]
codeSysPrf [definition, in Goedel.codeSysPrf]
codeSysPrf [definition, in Goedel.goedel1]
codeSysPrf [definition, in Goedel.rosser]
codeSysPrf [library]
codeSysPrfCorrect1 [definition, in Goedel.rosserPA]
codeSysPrfCorrect1 [lemma, in Goedel.codeSysPrf]
codeSysPrfCorrect1 [definition, in Goedel.rosser]
codeSysPrfCorrect2 [definition, in Goedel.rosserPA]
codeSysPrfCorrect2 [lemma, in Goedel.codeSysPrf]
codeSysPrfCorrect2 [definition, in Goedel.goedel1]
codeSysPrfCorrect2 [definition, in Goedel.rosser]
codeSysPrfCorrect3 [definition, in Goedel.rosserPA]
codeSysPrfCorrect3 [lemma, in Goedel.codeSysPrf]
codeSysPrfCorrect3 [definition, in Goedel.goedel1]
codeSysPrfCorrect3 [definition, in Goedel.rosser]
codeSysPrfNCorrect1 [definition, in Goedel.rosserPA]
codeSysPrfNCorrect1 [lemma, in Goedel.codeSysPrf]
codeSysPrfNCorrect1 [definition, in Goedel.rosser]
codeSysPrfNCorrect2 [definition, in Goedel.rosserPA]
codeSysPrfNCorrect2 [lemma, in Goedel.codeSysPrf]
codeSysPrfNCorrect2 [definition, in Goedel.rosser]
codeSysPrfNCorrect3 [definition, in Goedel.rosserPA]
codeSysPrfNCorrect3 [lemma, in Goedel.codeSysPrf]
codeSysPrfNCorrect3 [definition, in Goedel.rosser]
codeSysPrfNot [definition, in Goedel.rosserPA]
codeSysPrfNot [definition, in Goedel.codeSysPrf]
codeSysPrfNot [definition, in Goedel.rosser]
codeTerm [definition, in hydras.Ackermann.code]
codeTermFreeVar [lemma, in hydras.Ackermann.codeSubFormula]
codeTermInj [lemma, in hydras.Ackermann.code]
codeTerms [definition, in hydras.Ackermann.code]
codeTermsInj [lemma, in hydras.Ackermann.code]
Code_Free_Vars.Terms [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Term [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.System [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Formulas [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Formula [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.L [variable, in hydras.Ackermann.codeFreeVar]
Code_Free_Vars [section, in hydras.Ackermann.codeFreeVar]
Code_Substitute_Term.Terms [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Term [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.System [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Formulas [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Formula [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.L [variable, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term [section, in hydras.Ackermann.codeSubTerm]
Code_Substitute_Formula.codeTerm [variable, in hydras.Ackermann.codeSubFormula]
Code_Substitute_Formula.codeFormula [variable, in hydras.Ackermann.codeSubFormula]
Code_Substitute_Formula.L [variable, in hydras.Ackermann.codeSubFormula]
Code_Substitute_Formula [section, in hydras.Ackermann.codeSubFormula]
Code_Term_Formula_Proof.codeTermFormDef [section, in hydras.Ackermann.code]
Code_Term_Formula_Proof.SysPrf [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.Prf [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.Terms [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.Term [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.System [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.Formulas [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.Formula [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef.cR [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef.cF [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef [section, in hydras.Ackermann.code]
Code_Term_Formula_Proof.L [variable, in hydras.Ackermann.code]
Code_Term_Formula_Proof [section, in hydras.Ackermann.code]
code_nat_list.drop [variable, in hydras.Ackermann.cPair]
code_nat_list [section, in hydras.Ackermann.cPair]
code_SysPrf.LNN.expressU2 [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.expressU1 [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.freeVarfU [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.v0 [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.fU [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.U [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.TextendsNN [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN.T [variable, in Goedel.codeSysPrf]
code_SysPrf.LNN [section, in Goedel.codeSysPrf]
code_SysPrf.codeArityRIsCorrect2 [variable, in Goedel.codeSysPrf]
code_SysPrf.codeArityRIsCorrect1 [variable, in Goedel.codeSysPrf]
code_SysPrf.codeArityFIsCorrect2 [variable, in Goedel.codeSysPrf]
code_SysPrf.codeArityFIsCorrect1 [variable, in Goedel.codeSysPrf]
code_SysPrf.codeArityR [variable, in Goedel.codeSysPrf]
code_SysPrf.codeArityF [variable, in Goedel.codeSysPrf]
code_SysPrf.L [variable, in Goedel.codeSysPrf]
code_SysPrf [section, in Goedel.codeSysPrf]
Code_PA.codeFormulaInj [variable, in hydras.Ackermann.codePA]
Code_PA.codeFormula [variable, in hydras.Ackermann.codePA]
Code_PA.codeTerm [variable, in hydras.Ackermann.codePA]
Code_PA [section, in hydras.Ackermann.codePA]
coeff_lt [lemma, in hydras.Epsilon0.T1]
coeff_lt [lemma, in hydras.Schutte.Correctness_E0]
comp [instance, in hydras.OrdinalNotations.ON_Finite]
Comparable [section, in hydras.Prelude.Comparable]
Comparable [record, in hydras.Prelude.Comparable]
Comparable [library]
comparable_comp_spec [projection, in hydras.Prelude.Comparable]
comparable_sto [projection, in hydras.Prelude.Comparable]
Comparable0:15 [binder, in hydras.Prelude.Comparable]
compare [projection, in hydras.Prelude.Comparable]
Compare [record, in hydras.Prelude.Comparable]
compare [constructor, in hydras.Prelude.Comparable]
Compare [inductive, in hydras.Prelude.Comparable]
compareA:108 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:123 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:135 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:148 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:161 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:173 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:186 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:200 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:31 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:50 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:69 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:83 [binder, in hydras.OrdinalNotations.ON_Generic]
compareA:95 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:112 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:127 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:139 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:152 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:165 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:177 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:190 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:204 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:35 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:54 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:87 [binder, in hydras.OrdinalNotations.ON_Generic]
compareB:99 [binder, in hydras.OrdinalNotations.ON_Generic]
compare_reflectR [lemma, in hydras.Epsilon0.T1]
compare_of_phi0 [lemma, in hydras.Epsilon0.T1]
compare_fin_rw [lemma, in hydras.Epsilon0.T1]
compare_lt_iff [lemma, in hydras.Epsilon0.T1]
compare_lt_impl [lemma, in hydras.Epsilon0.T1]
compare_eq_iff [lemma, in hydras.Epsilon0.T1]
compare_refl [lemma, in hydras.Epsilon0.T1]
compare_correct [lemma, in hydras.Epsilon0.T1]
compare_reflect [lemma, in hydras.Epsilon0.T1]
compare_rev [lemma, in hydras.Epsilon0.T1]
compare_cons [lemma, in hydras.Epsilon0.T1]
compare_T1 [instance, in hydras.Epsilon0.T1]
compare_correct [lemma, in hydras.OrdinalNotations.ON_Omega2]
compare_reflect [lemma, in hydras.OrdinalNotations.ON_Omega2]
compare_omega2 [instance, in hydras.OrdinalNotations.ON_Omega2]
compare_reflect [lemma, in hydras.Prelude.Comparable]
compare_trans [lemma, in hydras.Prelude.Comparable]
compare_ge_iff [lemma, in hydras.Prelude.Comparable]
compare_le_iff [lemma, in hydras.Prelude.Comparable]
compare_le_iff_refl [lemma, in hydras.Prelude.Comparable]
compare_gt_not_lt [lemma, in hydras.Prelude.Comparable]
compare_lt_not_gt [lemma, in hydras.Prelude.Comparable]
compare_gt_trans [lemma, in hydras.Prelude.Comparable]
compare_gt_irrefl [lemma, in hydras.Prelude.Comparable]
compare_gt_iff [lemma, in hydras.Prelude.Comparable]
compare_eq_trans [lemma, in hydras.Prelude.Comparable]
compare_refl [lemma, in hydras.Prelude.Comparable]
compare_eq_iff [lemma, in hydras.Prelude.Comparable]
compare_lt_irrefl [lemma, in hydras.Prelude.Comparable]
compare_lt_trans [lemma, in hydras.Prelude.Comparable]
compare_lt_iff [lemma, in hydras.Prelude.Comparable]
compare_reflect [lemma, in hydras.OrdinalNotations.ON_O]
compare_correct [lemma, in hydras.OrdinalNotations.ON_O]
compare_O [instance, in hydras.OrdinalNotations.ON_O]
compare_nat_nat [instance, in hydras.OrdinalNotations.ON_Omega_plus_omega]
compare_h2g [lemma, in gaia_hydras.T1Bridge]
compare_g2h [lemma, in gaia_hydras.T1Bridge]
compare_ref [lemma, in gaia_hydras.T1Bridge]
compare_correct [lemma, in hydras.OrdinalNotations.ON_mult]
compare_reflect [lemma, in hydras.OrdinalNotations.ON_mult]
compare_mult [instance, in hydras.OrdinalNotations.ON_mult]
compare_correct [lemma, in hydras.OrdinalNotations.ON_plus]
compare_reflect [lemma, in hydras.OrdinalNotations.ON_plus]
compare_plus [instance, in hydras.OrdinalNotations.ON_plus]
compare_reflect [lemma, in hydras.OrdinalNotations.ON_Finite]
compare_correct [lemma, in hydras.OrdinalNotations.ON_Finite]
compare_fin [instance, in hydras.OrdinalNotations.ON_Finite]
compare_correct [lemma, in hydras.Epsilon0.E0]
compare_E0 [instance, in hydras.Epsilon0.E0]
compare_nat [instance, in hydras.OrdinalNotations.ON_Omega]
compare_rw_gt [lemma, in hydras.Gamma0.Gamma0]
compare_rw_eq [lemma, in hydras.Gamma0.Gamma0]
compare_rw_lt [lemma, in hydras.Gamma0.Gamma0]
compare_Gt [lemma, in hydras.Gamma0.Gamma0]
compare_Eq [lemma, in hydras.Gamma0.Gamma0]
compare_Lt [lemma, in hydras.Gamma0.Gamma0]
compare_correct [lemma, in hydras.Gamma0.Gamma0]
compare_reflect [lemma, in hydras.Gamma0.Gamma0]
compare_T2 [instance, in hydras.Gamma0.Gamma0]
compare:2 [binder, in additions.Trace_exercise]
comparison_eq_dec [instance, in hydras.Prelude.DecPreOrder]
Compatibility [library]
Compat815 [module, in hydras.Prelude.Compat815]
Compat815 [library]
Compat815.ind_0_1_SS [definition, in hydras.Prelude.Compat815]
Compat815.le_not_lt [lemma, in hydras.Prelude.Compat815]
Compat815.le_plus_r [lemma, in hydras.Prelude.Compat815]
Compat815.le_lt_n_Sm [lemma, in hydras.Prelude.Compat815]
Compat815.le_lt_or_eq [lemma, in hydras.Prelude.Compat815]
Compat815.le_n_0_eq [lemma, in hydras.Prelude.Compat815]
Compat815.lt_not_le [lemma, in hydras.Prelude.Compat815]
Compat815.lt_n_S [lemma, in hydras.Prelude.Compat815]
Compat815.lt_S_n [lemma, in hydras.Prelude.Compat815]
Compat815.lt_n_Sm_le [lemma, in hydras.Prelude.Compat815]
Compat815.mult_O_le [lemma, in hydras.Prelude.Compat815]
Compat815.n_SSn [lemma, in hydras.Prelude.Compat815]
Compat815.n_SSSn [lemma, in hydras.Prelude.Compat815]
Compat815.plus_Snm_nSm [lemma, in hydras.Prelude.Compat815]
composeFunc [constructor, in hydras.Ackermann.primRec]
composeSigmaFormula [definition, in Goedel.PRrepresentable]
composeSigmaRepresentable [lemma, in Goedel.PRrepresentable]
compose1_NIsPR [instance, in hydras.Ackermann.primRec]
compose1_3IsPR [instance, in hydras.Ackermann.primRec]
compose1_2IsPR [instance, in hydras.Ackermann.primRec]
compose1_1IsPR [instance, in hydras.Ackermann.primRec]
compose2 [definition, in hydras.Ackermann.primRec]
compose2Examples [section, in hydras.MoreAck.PrimRecExamples]
compose2Examples.f [variable, in hydras.MoreAck.PrimRecExamples]
compose2Examples.f' [variable, in hydras.MoreAck.PrimRecExamples]
compose2Examples.g [variable, in hydras.MoreAck.PrimRecExamples]
compose2Examples.g' [variable, in hydras.MoreAck.PrimRecExamples]
compose2Examples.h [variable, in hydras.MoreAck.PrimRecExamples]
compose2IsPR [instance, in hydras.Ackermann.primRec]
compose2_4IsPR [instance, in hydras.Ackermann.primRec]
compose2_3IsPR [instance, in hydras.Ackermann.primRec]
compose2_2IsPR [instance, in hydras.Ackermann.primRec]
compose2_1IsPR [instance, in hydras.Ackermann.primRec]
compose2_3 [lemma, in hydras.MoreAck.PrimRecExamples]
compose2_2 [lemma, in hydras.MoreAck.PrimRecExamples]
compose2_1 [lemma, in hydras.MoreAck.PrimRecExamples]
compose2_0 [lemma, in hydras.MoreAck.PrimRecExamples]
compose3_3IsPR [instance, in hydras.Ackermann.primRec]
compose3_2IsPR [instance, in hydras.Ackermann.primRec]
compose3_1IsPR [instance, in hydras.Ackermann.primRec]
compose4_3IsPR [instance, in hydras.Ackermann.primRec]
compose4_2IsPR [instance, in hydras.Ackermann.primRec]
Composition [section, in hydras.MoreAck.PrimRecExamples]
CompositionProofs [section, in additions.AM]
CompositionProofs.App [section, in additions.AM]
CompositionProofs.App.cn [variable, in additions.AM]
CompositionProofs.App.cp [variable, in additions.AM]
CompositionProofs.App.Hn [variable, in additions.AM]
CompositionProofs.App.Hp [variable, in additions.AM]
CompositionProofs.App.n [variable, in additions.AM]
CompositionProofs.App.p [variable, in additions.AM]
CompositionProofs.FFK [section, in additions.AM]
CompositionProofs.FFK.cp [variable, in additions.AM]
CompositionProofs.FFK.cq [variable, in additions.AM]
CompositionProofs.FFK.Hp [variable, in additions.AM]
CompositionProofs.FFK.Hq [variable, in additions.AM]
CompositionProofs.FFK.p [variable, in additions.AM]
CompositionProofs.FFK.q [variable, in additions.AM]
CompositionProofs.FK [section, in additions.AM]
CompositionProofs.FK.cn [variable, in additions.AM]
CompositionProofs.FK.Hn [variable, in additions.AM]
CompositionProofs.FK.n [variable, in additions.AM]
CompositionProofs.KFK [section, in additions.AM]
CompositionProofs.KFK.Hpr [variable, in additions.AM]
CompositionProofs.KFK.Hq [variable, in additions.AM]
CompositionProofs.KFK.kpr [variable, in additions.AM]
CompositionProofs.KFK.mq [variable, in additions.AM]
CompositionProofs.KFK.p [variable, in additions.AM]
CompositionProofs.KFK.q [variable, in additions.AM]
CompositionProofs.KFK.r [variable, in additions.AM]
Composition.f [variable, in hydras.MoreAck.PrimRecExamples]
Composition.g [variable, in hydras.MoreAck.PrimRecExamples]
Composition.h [variable, in hydras.MoreAck.PrimRecExamples]
Composition.k [variable, in hydras.MoreAck.PrimRecExamples]
Composition.t [variable, in hydras.MoreAck.PrimRecExamples]
Composition.u [variable, in hydras.MoreAck.PrimRecExamples]
Composition.v [variable, in hydras.MoreAck.PrimRecExamples]
Composition.x [variable, in hydras.MoreAck.PrimRecExamples]
Composition.y [variable, in hydras.MoreAck.PrimRecExamples]
Composition.z [variable, in hydras.MoreAck.PrimRecExamples]
computation [inductive, in additions.Addition_Chains]
computation_equiv [definition, in additions.Euclidean_Chains]
computation_eval_rw [lemma, in additions.Addition_Chains]
computation_eval [definition, in additions.Addition_Chains]
computation_execute [definition, in additions.Addition_Chains]
computation_length [definition, in additions.Addition_Chains]
computeEvalStrongRecHelp [lemma, in hydras.Ackermann.cPair]
comp_res:96 [binder, in hydras.Prelude.Comparable]
comp_equiv_equivalence [instance, in additions.Euclidean_Chains]
Comp_equiv [instance, in additions.Euclidean_Chains]
comp128 [definition, in additions.Addition_Chains]
Con [definition, in Goedel.goedel2]
config [definition, in additions.AM]
config_equiv [definition, in additions.AM]
cons [constructor, in hydras.Epsilon0.T1]
Cons [instance, in hydras.Epsilon0.E0]
Consistent [definition, in hydras.Ackermann.folProof]
constant_to_standard_path [lemma, in gaia_hydras.GPaths]
constant_to_standard_path [lemma, in hydras.Epsilon0.Paths]
constant_to_standard [lemma, in hydras.Epsilon0.Paths]
constant_to_standard_0 [lemma, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.delta [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.m [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.gamma [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.l [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.l_def [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.P [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.t [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Hpa [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Hpos [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Halpha [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.n [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.beta [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.alpha [variable, in hydras.Epsilon0.Paths]
Constant_to_standard_Proof [section, in hydras.Epsilon0.Paths]
consTerms [lemma, in hydras.Ackermann.fol]
const_path [definition, in gaia_hydras.GPaths]
const_pathS_LT' [lemma, in hydras.Epsilon0.Paths]
const_pathS_eps_zero [lemma, in hydras.Epsilon0.Paths]
const_pathS_first_step [lemma, in hydras.Epsilon0.Paths]
const_pathS_eps_LE_2 [lemma, in hydras.Epsilon0.Paths]
const_pathS_eps_trans [lemma, in hydras.Epsilon0.Paths]
const_pathS_trans [lemma, in hydras.Epsilon0.Paths]
const_pathS_inv_strong [lemma, in hydras.Epsilon0.Paths]
const_pathS_inv [lemma, in hydras.Epsilon0.Paths]
const_pathS_LE [lemma, in hydras.Epsilon0.Paths]
const_path_LT [lemma, in hydras.Epsilon0.Paths]
const_pathS_LT [lemma, in hydras.Epsilon0.Paths]
const_pathS_zero [lemma, in hydras.Epsilon0.Paths]
const_pathS_nf [lemma, in hydras.Epsilon0.Paths]
const_pathS_repeatR [lemma, in hydras.Epsilon0.Paths]
const_pathS_repeat [lemma, in hydras.Epsilon0.Paths]
const_pathS_eps [definition, in hydras.Epsilon0.Paths]
const_pathSE [lemma, in hydras.Epsilon0.Paths]
const_path [definition, in hydras.Epsilon0.Paths]
const_pathS [definition, in hydras.Epsilon0.Paths]
const0_NIsPR [instance, in hydras.Ackermann.primRec]
const1_NIsPR [instance, in hydras.Ackermann.primRec]
cons_def [lemma, in hydras.Epsilon0.T1]
cons_nf [lemma, in hydras.Epsilon0.T1]
cons_succ [constructor, in hydras.Gamma0.T2]
cons_standard_path [lemma, in hydras.Epsilon0.Paths]
cons_standard_pathS [lemma, in hydras.Epsilon0.Paths]
cons_lt_epsilon0 [lemma, in hydras.Gamma0.Gamma0]
cons_rw [lemma, in hydras.Gamma0.Gamma0]
continuous [definition, in hydras.Schutte.Schutte_basics]
contrad [lemma, in hydras.solutions_exercises.MultisetWf]
contrad [lemma, in hydras.solutions_exercises.T1_ltNotWf]
contradiction [lemma, in hydras.Ackermann.LNN]
contradiction [lemma, in hydras.Ackermann.LNT]
contradiction [lemma, in hydras.Ackermann.folLogic]
Contradiction [lemma, in hydras.Hydra.Omega_Small]
Correctness [section, in hydras.Ackermann.fol]
correctness_statement [definition, in additions.AM]
correctness_statement [definition, in additions.Euclidean_Chains]
Correctness_E0 [library]
Correctness.L [variable, in hydras.Ackermann.fol]
Correctness.P [variable, in hydras.Ackermann.fol]
Correctness.Q [variable, in hydras.Ackermann.fol]
Correctness.R [variable, in hydras.Ackermann.fol]
correct_app [lemma, in additions.AM]
correct_generator [definition, in additions.Addition_Chains]
Cor12 [lemma, in gaia_hydras.GPaths]
Cor12 [lemma, in hydras.Epsilon0.Paths]
Cor12_E0 [lemma, in hydras.Epsilon0.Paths]
Cor12_3 [lemma, in hydras.Epsilon0.Paths]
Cor12_2 [lemma, in hydras.Epsilon0.Paths]
Cor12_1 [lemma, in hydras.Epsilon0.Paths]
Countable [section, in hydras.Schutte.Countable]
Countable [library]
countable_members [lemma, in hydras.Schutte.Schutte_basics]
countable_not_Unbounded [lemma, in hydras.Schutte.Schutte_basics]
countable_segment_proper [lemma, in hydras.Schutte.Ordering_Functions]
countable_image [lemma, in hydras.Schutte.Countable]
countable_bij_funR [lemma, in hydras.Schutte.Countable]
countable_bij_fun [lemma, in hydras.Schutte.Countable]
countable_surj [lemma, in hydras.Schutte.Countable]
Countable.Countable_bijection.g_bij [variable, in hydras.Schutte.Countable]
Countable.Countable_bijection.g [variable, in hydras.Schutte.Countable]
Countable.Countable_bijection.B [variable, in hydras.Schutte.Countable]
Countable.Countable_bijection.A [variable, in hydras.Schutte.Countable]
Countable.Countable_bijection.V [variable, in hydras.Schutte.Countable]
Countable.Countable_bijection [section, in hydras.Schutte.Countable]
Countable.Countable_seq_range [section, in hydras.Schutte.Countable]
Countable.Definitions [section, in hydras.Schutte.Countable]
Countable.Definitions.A [variable, in hydras.Schutte.Countable]
Countable.Definitions.U [variable, in hydras.Schutte.Countable]
Countable.U [variable, in hydras.Schutte.Countable]
Counter_Example.is_in_seq [variable, in hydras.solutions_exercises.MultisetWf]
Counter_Example.Hwf [variable, in hydras.solutions_exercises.MultisetWf]
Counter_Example.R [variable, in hydras.solutions_exercises.MultisetWf]
Counter_Example [section, in hydras.solutions_exercises.MultisetWf]
counter_ex [lemma, in hydras.solutions_exercises.schutte_cnf_counter_example]
count:9 [binder, in additions.AM]
CP [constructor, in hydras.Ackermann.folProof]
cPair [definition, in hydras.Ackermann.cPair]
cPair [library]
cPairInjHelp [lemma, in hydras.Ackermann.cPair]
cPairInj1 [lemma, in hydras.Ackermann.cPair]
cPairInj2 [lemma, in hydras.Ackermann.cPair]
cPairIsPR [instance, in hydras.Ackermann.cPair]
cPairLemma1 [lemma, in hydras.Ackermann.cPair]
cPairLe1 [lemma, in hydras.Ackermann.cPair]
cPairLe1A [lemma, in hydras.Ackermann.cPair]
cPairLe2 [lemma, in hydras.Ackermann.cPair]
cPairLe2A [lemma, in hydras.Ackermann.cPair]
cPairLe3 [lemma, in hydras.Ackermann.cPair]
cPairLt1 [lemma, in hydras.Ackermann.cPair]
cPairLt2 [lemma, in hydras.Ackermann.cPair]
cPairPi1 [definition, in hydras.Ackermann.cPair]
cPairPi1IsPR [instance, in hydras.Ackermann.cPair]
cPairPi2 [definition, in hydras.Ackermann.cPair]
cPairPi2IsPR [instance, in hydras.Ackermann.cPair]
cPairProjections [lemma, in hydras.Ackermann.cPair]
cPairProjectionsHelp [lemma, in hydras.Ackermann.cPair]
cPairProjections1 [lemma, in hydras.Ackermann.cPair]
cPairProjections2 [lemma, in hydras.Ackermann.cPair]
CPair_Order [section, in hydras.Ackermann.cPair]
CPair_projections.searchXY [variable, in hydras.Ackermann.cPair]
CPair_projections [section, in hydras.Ackermann.cPair]
CPair_Injectivity [section, in hydras.Ackermann.cPair]
cpower [definition, in additions.Addition_Chains]
cpower_pos [definition, in additions.Addition_Chains]
cp1 [lemma, in hydras.Ackermann.LNN]
cp1 [lemma, in hydras.Ackermann.LNT]
cp1 [lemma, in hydras.Ackermann.folLogic]
cp2 [lemma, in hydras.Ackermann.LNN]
cp2 [lemma, in hydras.Ackermann.LNT]
cp2 [lemma, in hydras.Ackermann.folLogic]
Cr [definition, in hydras.Schutte.Critical]
Critical [library]
Cr_1_iff [lemma, in hydras.Schutte.Critical]
Cr_incl [lemma, in hydras.Schutte.Critical]
Cr_lt [lemma, in hydras.Schutte.Critical]
Cr_pos_iff [lemma, in hydras.Schutte.Critical]
Cr_pos_inv [lemma, in hydras.Schutte.Critical]
Cr_zero_AP [lemma, in hydras.Schutte.Critical]
Cr_zero_inv [lemma, in hydras.Schutte.Critical]
Cr_pos [lemma, in hydras.Schutte.Critical]
Cr_zero [lemma, in hydras.Schutte.Critical]
Cr_inv [lemma, in hydras.Schutte.Critical]
Cr_equation [lemma, in hydras.Schutte.Critical]
Cr_extensional [lemma, in hydras.Schutte.Critical]
Cr_fun [definition, in hydras.Schutte.Critical]
cr:12 [binder, in hydras.Ackermann.code]
cr:15 [binder, in hydras.Ackermann.code]
cr:18 [binder, in hydras.Ackermann.code]
cr:3 [binder, in hydras.Ackermann.codeFreeVar]
cr:3 [binder, in hydras.Ackermann.codeSubTerm]
cr:3 [binder, in hydras.Ackermann.checkPrf]
cr:3 [binder, in hydras.Ackermann.codeSubFormula]
cr:3 [binder, in hydras.Ackermann.wellFormed]
cr:3 [binder, in Goedel.codeSysPrf]
cr:3 [binder, in hydras.Ackermann.codePA]
Cr:5 [binder, in hydras.Schutte.Critical]
cst_correct [lemma, in hydras.MoreAck.PrimRecExamples]
cst0_correct [lemma, in hydras.MoreAck.PrimRecExamples]
Cter_example.l [variable, in hydras.solutions_exercises.schutte_cnf_counter_example]
Cter_example.alpha [variable, in hydras.solutions_exercises.schutte_cnf_counter_example]
Cter_example.cnf_lt_epsilon0_iff [variable, in hydras.solutions_exercises.schutte_cnf_counter_example]
Cter_example [section, in hydras.solutions_exercises.schutte_cnf_counter_example]
cTriple [definition, in hydras.Ackermann.cPair]
cTripleIsPR [instance, in hydras.Ackermann.cPair]
cTriplePi1 [definition, in hydras.Ackermann.cPair]
cTriplePi1IsPR [instance, in hydras.Ackermann.cPair]
cTriplePi2 [definition, in hydras.Ackermann.cPair]
cTriplePi2IsPR [instance, in hydras.Ackermann.cPair]
cTriplePi3 [definition, in hydras.Ackermann.cPair]
cTriplePi3IsPR [instance, in hydras.Ackermann.cPair]
cTripleProj [lemma, in hydras.Ackermann.cPair]
cTripleProj1 [lemma, in hydras.Ackermann.cPair]
cTripleProj2 [lemma, in hydras.Ackermann.cPair]
cTripleProj3 [lemma, in hydras.Ackermann.cPair]
ctx:317 [binder, in hydras.rpo.rpo]
ctx:89 [binder, in hydras.rpo.rpo]
c'':46 [binder, in hydras.Hydra.BigBattle]
c':1025 [binder, in gaia_hydras.nfwfgaia]
c':1153 [binder, in gaia_hydras.nfwfgaia]
c':1337 [binder, in gaia_hydras.nfwfgaia]
c':1383 [binder, in gaia_hydras.nfwfgaia]
c':1393 [binder, in gaia_hydras.nfwfgaia]
c':1421 [binder, in gaia_hydras.nfwfgaia]
c':1427 [binder, in gaia_hydras.nfwfgaia]
c':1435 [binder, in gaia_hydras.nfwfgaia]
c':1499 [binder, in gaia_hydras.nfwfgaia]
c':1507 [binder, in gaia_hydras.nfwfgaia]
c':1550 [binder, in gaia_hydras.nfwfgaia]
c':1584 [binder, in gaia_hydras.nfwfgaia]
c':1608 [binder, in gaia_hydras.nfwfgaia]
c':1617 [binder, in gaia_hydras.nfwfgaia]
c':1619 [binder, in gaia_hydras.nfwfgaia]
c':1620 [binder, in gaia_hydras.nfwfgaia]
c':1626 [binder, in gaia_hydras.nfwfgaia]
c':1628 [binder, in gaia_hydras.nfwfgaia]
c':1634 [binder, in gaia_hydras.nfwfgaia]
c':1690 [binder, in gaia_hydras.nfwfgaia]
c':1696 [binder, in gaia_hydras.nfwfgaia]
c':2 [binder, in hydras.Epsilon0.F_alpha]
c':20 [binder, in additions.AM]
c':2065 [binder, in gaia_hydras.nfwfgaia]
c':2079 [binder, in gaia_hydras.nfwfgaia]
c':2084 [binder, in gaia_hydras.nfwfgaia]
c':25 [binder, in hydras.Hydra.BigBattle]
c':26 [binder, in additions.Monoid_instances]
c':28 [binder, in hydras.Gamma0.Gamma0]
c':303 [binder, in hydras.Gamma0.Gamma0]
c':34 [binder, in hydras.Hydra.BigBattle]
c':42 [binder, in hydras.Hydra.BigBattle]
c':46 [binder, in additions.Euclidean_Chains]
c':544 [binder, in hydras.Ackermann.primRec]
c':58 [binder, in additions.AM]
c':58 [binder, in hydras.Hydra.BigBattle]
c':584 [binder, in hydras.Gamma0.Gamma0]
c':81 [binder, in additions.Addition_Chains]
c':84 [binder, in hydras.Gamma0.T2]
c':872 [binder, in gaia_hydras.nfwfgaia]
c':909 [binder, in gaia_hydras.nfwfgaia]
c':917 [binder, in gaia_hydras.nfwfgaia]
c':949 [binder, in gaia_hydras.nfwfgaia]
c00 [projection, in additions.Monoid_instances]
c01 [projection, in additions.Monoid_instances]
C1 [definition, in additions.Addition_Chains]
c10 [projection, in additions.Monoid_instances]
c11 [projection, in additions.Monoid_instances]
c153 [definition, in additions.Fib2]
c1:1173 [binder, in gaia_hydras.nfwfgaia]
c1:1364 [binder, in hydras.Ackermann.codeSubFormula]
c1:1817 [binder, in gaia_hydras.nfwfgaia]
c1:470 [binder, in gaia_hydras.nfwfgaia]
c1:598 [binder, in gaia_hydras.nfwfgaia]
c1:73 [binder, in hydras.Gamma0.Gamma0]
c1:80 [binder, in hydras.Gamma0.Gamma0]
c1:85 [binder, in hydras.Gamma0.Gamma0]
c2:1174 [binder, in gaia_hydras.nfwfgaia]
c2:1365 [binder, in hydras.Ackermann.codeSubFormula]
c2:1818 [binder, in gaia_hydras.nfwfgaia]
c2:471 [binder, in gaia_hydras.nfwfgaia]
c2:599 [binder, in gaia_hydras.nfwfgaia]
c2:74 [binder, in hydras.Gamma0.Gamma0]
c2:81 [binder, in hydras.Gamma0.Gamma0]
c2:86 [binder, in hydras.Gamma0.Gamma0]
C3 [definition, in additions.Addition_Chains]
C31_7 [definition, in additions.AM]
c3:1175 [binder, in gaia_hydras.nfwfgaia]
c3:1819 [binder, in gaia_hydras.nfwfgaia]
c3:472 [binder, in gaia_hydras.nfwfgaia]
C7 [definition, in additions.Addition_Chains]
C7_ok' [definition, in additions.Addition_Chains]
C7_ok [definition, in additions.Addition_Chains]
C87 [definition, in additions.Addition_Chains]
C87_ok' [lemma, in additions.Addition_Chains]
C87_ok [definition, in additions.Addition_Chains]
C87' [definition, in additions.Euclidean_Chains]
c:1 [binder, in hydras.Epsilon0.F_alpha]
c:1001 [binder, in gaia_hydras.nfwfgaia]
c:1004 [binder, in gaia_hydras.nfwfgaia]
c:1007 [binder, in gaia_hydras.nfwfgaia]
c:101 [binder, in hydras.Epsilon0.Hessenberg]
c:1011 [binder, in gaia_hydras.nfwfgaia]
c:1032 [binder, in gaia_hydras.nfwfgaia]
c:1037 [binder, in gaia_hydras.nfwfgaia]
c:104 [binder, in hydras.Ackermann.primRec]
c:104 [binder, in hydras.MoreAck.PrimRecExamples]
c:105 [binder, in hydras.Epsilon0.Hessenberg]
c:1052 [binder, in gaia_hydras.nfwfgaia]
c:108 [binder, in hydras.Epsilon0.Hessenberg]
c:113 [binder, in hydras.Gamma0.T2]
c:113 [binder, in additions.AM]
c:1147 [binder, in gaia_hydras.nfwfgaia]
c:115 [binder, in hydras.Ackermann.cPair]
c:1168 [binder, in gaia_hydras.nfwfgaia]
c:117 [binder, in hydras.Epsilon0.Hessenberg]
c:12 [binder, in hydras.Gamma0.Gamma0]
c:1207 [binder, in gaia_hydras.nfwfgaia]
c:121 [binder, in hydras.Epsilon0.F_alpha]
c:1210 [binder, in gaia_hydras.nfwfgaia]
C:123 [binder, in hydras.rpo.more_list]
c:1254 [binder, in gaia_hydras.nfwfgaia]
c:1257 [binder, in gaia_hydras.nfwfgaia]
c:1260 [binder, in gaia_hydras.nfwfgaia]
c:1263 [binder, in gaia_hydras.nfwfgaia]
c:128 [binder, in hydras.Epsilon0.T1]
c:13 [binder, in additions.AM]
c:13 [binder, in hydras.Ackermann.code]
c:1322 [binder, in gaia_hydras.nfwfgaia]
c:133 [binder, in hydras.Epsilon0.Hessenberg]
c:1332 [binder, in gaia_hydras.nfwfgaia]
c:1347 [binder, in gaia_hydras.nfwfgaia]
c:1352 [binder, in gaia_hydras.nfwfgaia]
c:1357 [binder, in gaia_hydras.nfwfgaia]
c:1362 [binder, in gaia_hydras.nfwfgaia]
c:1367 [binder, in gaia_hydras.nfwfgaia]
C:1369 [binder, in hydras.Ackermann.codeSubFormula]
c:1372 [binder, in gaia_hydras.nfwfgaia]
c:1378 [binder, in gaia_hydras.nfwfgaia]
c:1390 [binder, in gaia_hydras.nfwfgaia]
c:14 [binder, in hydras.Prelude.MoreDecidable]
c:14 [binder, in hydras.rpo.closure]
C:1407 [binder, in hydras.Ackermann.codeSubFormula]
c:1418 [binder, in gaia_hydras.nfwfgaia]
c:142 [binder, in hydras.Ackermann.primRec]
c:1424 [binder, in gaia_hydras.nfwfgaia]
c:143 [binder, in hydras.Gamma0.T2]
c:1430 [binder, in gaia_hydras.nfwfgaia]
c:144 [binder, in hydras.Ackermann.LNT]
c:144 [binder, in hydras.Gamma0.Gamma0]
c:145 [binder, in hydras.Ackermann.primRec]
c:145 [binder, in additions.fib]
c:147 [binder, in hydras.Ackermann.LNN]
c:148 [binder, in hydras.Ackermann.LNT]
c:148 [binder, in hydras.Ackermann.primRec]
c:149 [binder, in hydras.Gamma0.T2]
c:1494 [binder, in gaia_hydras.nfwfgaia]
c:15 [binder, in hydras.solutions_exercises.FibonacciPR]
c:15 [binder, in hydras.Hydra.BigBattle]
c:1504 [binder, in gaia_hydras.nfwfgaia]
c:151 [binder, in hydras.Ackermann.LNN]
c:151 [binder, in hydras.Ackermann.primRec]
C:151 [binder, in hydras.Ackermann.fol]
c:1510 [binder, in gaia_hydras.nfwfgaia]
c:1522 [binder, in gaia_hydras.nfwfgaia]
c:1525 [binder, in gaia_hydras.nfwfgaia]
c:1528 [binder, in gaia_hydras.nfwfgaia]
c:153 [binder, in hydras.Ackermann.LNT]
c:1533 [binder, in gaia_hydras.nfwfgaia]
c:1538 [binder, in gaia_hydras.nfwfgaia]
c:1542 [binder, in gaia_hydras.nfwfgaia]
c:1545 [binder, in gaia_hydras.nfwfgaia]
c:155 [binder, in hydras.Ackermann.primRec]
c:1553 [binder, in gaia_hydras.nfwfgaia]
c:156 [binder, in hydras.Ackermann.LNN]
c:1560 [binder, in gaia_hydras.nfwfgaia]
c:1563 [binder, in gaia_hydras.nfwfgaia]
c:1566 [binder, in gaia_hydras.nfwfgaia]
c:157 [binder, in additions.AM]
c:1570 [binder, in gaia_hydras.nfwfgaia]
c:1576 [binder, in gaia_hydras.nfwfgaia]
c:1580 [binder, in gaia_hydras.nfwfgaia]
c:1589 [binder, in gaia_hydras.nfwfgaia]
c:159 [binder, in hydras.Ackermann.primRec]
c:16 [binder, in hydras.Ackermann.extEqualNat]
c:16 [binder, in hydras.Ackermann.code]
c:16 [binder, in additions.Euclidean_Chains]
c:16 [binder, in hydras.Ackermann.folLogic3]
c:16 [binder, in hydras.MoreAck.PrimRecExamples]
c:1603 [binder, in gaia_hydras.nfwfgaia]
c:1614 [binder, in gaia_hydras.nfwfgaia]
c:1623 [binder, in gaia_hydras.nfwfgaia]
c:163 [binder, in hydras.Ackermann.primRec]
c:1631 [binder, in gaia_hydras.nfwfgaia]
c:1637 [binder, in gaia_hydras.nfwfgaia]
c:164 [binder, in hydras.Ackermann.LNN]
c:164 [binder, in hydras.Gamma0.Gamma0]
c:1647 [binder, in gaia_hydras.nfwfgaia]
c:1652 [binder, in gaia_hydras.nfwfgaia]
c:1662 [binder, in gaia_hydras.nfwfgaia]
c:1673 [binder, in gaia_hydras.nfwfgaia]
c:1676 [binder, in gaia_hydras.nfwfgaia]
c:168 [binder, in hydras.Gamma0.Gamma0]
c:1685 [binder, in gaia_hydras.nfwfgaia]
c:1693 [binder, in gaia_hydras.nfwfgaia]
c:17 [binder, in hydras.solutions_exercises.FibonacciPR]
c:172 [binder, in hydras.Gamma0.Gamma0]
c:1747 [binder, in gaia_hydras.nfwfgaia]
c:1751 [binder, in gaia_hydras.nfwfgaia]
c:1754 [binder, in gaia_hydras.nfwfgaia]
c:179 [binder, in additions.Addition_Chains]
c:1793 [binder, in gaia_hydras.nfwfgaia]
c:180 [binder, in additions.Addition_Chains]
c:181 [binder, in additions.Addition_Chains]
c:1812 [binder, in gaia_hydras.nfwfgaia]
c:185 [binder, in hydras.Ackermann.primRec]
c:1858 [binder, in gaia_hydras.nfwfgaia]
c:187 [binder, in additions.Addition_Chains]
c:1879 [binder, in gaia_hydras.nfwfgaia]
c:188 [binder, in hydras.Ackermann.primRec]
c:1888 [binder, in gaia_hydras.nfwfgaia]
c:19 [binder, in additions.AM]
c:19 [binder, in hydras.solutions_exercises.FibonacciPR]
c:190 [binder, in hydras.Ackermann.cPair]
c:191 [binder, in hydras.Ackermann.primRec]
c:196 [binder, in hydras.Epsilon0.T1]
c:196 [binder, in hydras.Ackermann.primRec]
c:199 [binder, in hydras.Ackermann.primRec]
c:20 [binder, in hydras.Prelude.MoreDecidable]
c:2008 [binder, in gaia_hydras.nfwfgaia]
c:202 [binder, in hydras.Ackermann.primRec]
c:2023 [binder, in gaia_hydras.nfwfgaia]
c:2027 [binder, in gaia_hydras.nfwfgaia]
c:2032 [binder, in gaia_hydras.nfwfgaia]
c:2039 [binder, in gaia_hydras.nfwfgaia]
c:2046 [binder, in gaia_hydras.nfwfgaia]
c:2049 [binder, in gaia_hydras.nfwfgaia]
c:205 [binder, in additions.Addition_Chains]
c:2055 [binder, in gaia_hydras.nfwfgaia]
c:2060 [binder, in gaia_hydras.nfwfgaia]
c:207 [binder, in hydras.Ackermann.primRec]
c:207 [binder, in additions.Addition_Chains]
c:2072 [binder, in gaia_hydras.nfwfgaia]
c:2075 [binder, in gaia_hydras.nfwfgaia]
c:208 [binder, in additions.Addition_Chains]
c:208 [binder, in gaia_hydras.nfwfgaia]
c:21 [binder, in hydras.solutions_exercises.FibonacciPR]
c:210 [binder, in hydras.Ackermann.primRec]
c:211 [binder, in gaia_hydras.nfwfgaia]
c:213 [binder, in hydras.Ackermann.primRec]
c:213 [binder, in additions.Addition_Chains]
c:214 [binder, in additions.Addition_Chains]
c:214 [binder, in gaia_hydras.nfwfgaia]
c:215 [binder, in hydras.Ackermann.cPair]
c:216 [binder, in additions.Addition_Chains]
c:217 [binder, in gaia_hydras.nfwfgaia]
c:218 [binder, in hydras.Ackermann.primRec]
c:218 [binder, in additions.Addition_Chains]
c:22 [binder, in hydras.Hydra.BigBattle]
c:22 [binder, in additions.Monoid_instances]
c:220 [binder, in hydras.Gamma0.Gamma0]
c:221 [binder, in hydras.Ackermann.primRec]
c:224 [binder, in hydras.Ackermann.primRec]
c:226 [binder, in hydras.Gamma0.Gamma0]
c:227 [binder, in hydras.Ackermann.primRec]
c:23 [binder, in additions.Trace_exercise]
c:230 [binder, in hydras.Ackermann.primRec]
c:230 [binder, in hydras.Gamma0.Gamma0]
c:234 [binder, in hydras.Ackermann.primRec]
c:234 [binder, in hydras.Gamma0.Gamma0]
c:237 [binder, in hydras.Ackermann.primRec]
c:24 [binder, in hydras.Prelude.Comparable]
c:24 [binder, in additions.Trace_exercise]
c:240 [binder, in hydras.Ackermann.primRec]
c:243 [binder, in hydras.Ackermann.primRec]
c:246 [binder, in hydras.Ackermann.primRec]
c:25 [binder, in gaia_hydras.GHessenberg]
c:250 [binder, in hydras.Ackermann.primRec]
c:253 [binder, in hydras.Ackermann.primRec]
c:256 [binder, in hydras.Ackermann.primRec]
c:259 [binder, in hydras.Ackermann.primRec]
c:26 [binder, in additions.Fib2]
c:26 [binder, in hydras.Prelude.More_Arith]
C:26 [binder, in hydras.Ackermann.fol]
c:26 [binder, in hydras.Gamma0.Gamma0]
c:262 [binder, in hydras.Ackermann.primRec]
c:266 [binder, in hydras.Ackermann.primRec]
C:267 [binder, in hydras.Ackermann.checkPrf]
c:270 [binder, in hydras.Ackermann.primRec]
c:270 [binder, in hydras.Gamma0.Gamma0]
c:274 [binder, in hydras.Ackermann.primRec]
c:278 [binder, in hydras.Ackermann.primRec]
c:28 [binder, in additions.Fib2]
c:282 [binder, in hydras.Ackermann.primRec]
c:286 [binder, in hydras.Gamma0.Gamma0]
c:287 [binder, in hydras.Ackermann.primRec]
c:288 [binder, in additions.Addition_Chains]
c:290 [binder, in hydras.Gamma0.Gamma0]
c:291 [binder, in hydras.Ackermann.primRec]
c:294 [binder, in hydras.Gamma0.Gamma0]
c:295 [binder, in hydras.Ackermann.primRec]
c:297 [binder, in additions.Addition_Chains]
c:298 [binder, in hydras.Gamma0.Gamma0]
c:3 [binder, in additions.AM]
C:3 [binder, in hydras.rpo.more_list]
c:3 [binder, in hydras.Epsilon0.F_alpha]
c:3 [binder, in hydras.Prelude.MoreDecidable]
c:300 [binder, in hydras.Ackermann.primRec]
c:304 [binder, in hydras.Ackermann.primRec]
c:305 [binder, in gaia_hydras.nfwfgaia]
c:308 [binder, in Goedel.PRrepresentable]
c:308 [binder, in hydras.Ackermann.primRec]
c:308 [binder, in gaia_hydras.nfwfgaia]
c:309 [binder, in hydras.Gamma0.Gamma0]
C:31 [binder, in hydras.Ackermann.folProof]
c:31 [binder, in hydras.Prelude.Comparable]
c:31 [binder, in hydras.Hydra.BigBattle]
c:312 [binder, in hydras.Epsilon0.T1]
c:312 [binder, in hydras.Ackermann.primRec]
c:316 [binder, in hydras.Ackermann.primRec]
c:32 [binder, in hydras.Ackermann.extEqualNat]
c:32 [binder, in hydras.Gamma0.Gamma0]
c:32 [binder, in gaia_hydras.GHessenberg]
c:320 [binder, in hydras.Ackermann.primRec]
c:324 [binder, in hydras.Ackermann.primRec]
c:329 [binder, in hydras.Ackermann.primRec]
c:33 [binder, in hydras.Ackermann.folLogic3]
c:333 [binder, in hydras.Ackermann.primRec]
c:337 [binder, in hydras.Ackermann.primRec]
c:34 [binder, in additions.AM]
c:340 [binder, in Goedel.PRrepresentable]
c:341 [binder, in hydras.Ackermann.primRec]
c:342 [binder, in Goedel.PRrepresentable]
c:342 [binder, in hydras.Ackermann.cPair]
c:344 [binder, in Goedel.PRrepresentable]
c:345 [binder, in Goedel.PRrepresentable]
c:345 [binder, in hydras.Ackermann.primRec]
c:348 [binder, in hydras.Ackermann.cPair]
c:35 [binder, in hydras.Ackermann.cPair]
c:35 [binder, in gaia_hydras.GHessenberg]
c:351 [binder, in hydras.Ackermann.cPair]
c:352 [binder, in additions.Euclidean_Chains]
c:353 [binder, in Goedel.PRrepresentable]
c:354 [binder, in hydras.Ackermann.cPair]
c:357 [binder, in Goedel.PRrepresentable]
c:357 [binder, in hydras.Ackermann.cPair]
c:359 [binder, in hydras.Ackermann.cPair]
c:36 [binder, in hydras.Prelude.MoreVectors]
c:361 [binder, in Goedel.PRrepresentable]
c:361 [binder, in hydras.Ackermann.cPair]
c:364 [binder, in hydras.Ackermann.cPair]
c:365 [binder, in Goedel.PRrepresentable]
c:367 [binder, in hydras.Ackermann.cPair]
c:37 [binder, in hydras.Prelude.Comparable]
c:370 [binder, in hydras.Ackermann.cPair]
c:38 [binder, in hydras.Hydra.BigBattle]
c:38 [binder, in gaia_hydras.GHessenberg]
c:387 [binder, in Goedel.PRrepresentable]
c:39 [binder, in hydras.OrdinalNotations.OmegaOmega]
c:39 [binder, in hydras.Schutte.Well_Orders]
c:391 [binder, in Goedel.PRrepresentable]
c:395 [binder, in Goedel.PRrepresentable]
c:399 [binder, in Goedel.PRrepresentable]
c:4 [binder, in additions.AM]
c:4 [binder, in hydras.Gamma0.Gamma0]
c:40 [binder, in additions.Addition_Chains]
c:401 [binder, in gaia_hydras.nfwfgaia]
c:407 [binder, in Goedel.PRrepresentable]
c:407 [binder, in gaia_hydras.nfwfgaia]
c:410 [binder, in gaia_hydras.nfwfgaia]
c:411 [binder, in Goedel.PRrepresentable]
c:414 [binder, in hydras.Epsilon0.T1]
c:414 [binder, in gaia_hydras.nfwfgaia]
c:415 [binder, in Goedel.PRrepresentable]
c:419 [binder, in Goedel.PRrepresentable]
c:43 [binder, in hydras.Ackermann.cPair]
c:43 [binder, in additions.Addition_Chains]
c:432 [binder, in hydras.Gamma0.Gamma0]
c:441 [binder, in hydras.Ackermann.primRec]
c:444 [binder, in hydras.Epsilon0.T1]
c:445 [binder, in hydras.Epsilon0.T1]
c:45 [binder, in additions.Euclidean_Chains]
c:450 [binder, in hydras.Epsilon0.T1]
c:460 [binder, in hydras.Epsilon0.T1]
c:461 [binder, in gaia_hydras.nfwfgaia]
c:463 [binder, in hydras.Epsilon0.T1]
c:47 [binder, in hydras.Ackermann.cPair]
c:480 [binder, in hydras.Gamma0.Gamma0]
c:49 [binder, in hydras.Prelude.More_Arith]
c:50 [binder, in hydras.Prelude.Comparable]
c:50 [binder, in hydras.Hydra.BigBattle]
c:505 [binder, in hydras.Epsilon0.T1]
c:51 [binder, in gaia_hydras.T1Bridge]
c:51 [binder, in hydras.Ackermann.cPair]
c:51 [binder, in additions.Addition_Chains]
c:52 [binder, in additions.Addition_Chains]
c:526 [binder, in hydras.Gamma0.Gamma0]
c:529 [binder, in hydras.Gamma0.Gamma0]
c:53 [binder, in hydras.Prelude.Comparable]
c:532 [binder, in hydras.Gamma0.Gamma0]
c:54 [binder, in hydras.Hydra.BigBattle]
c:543 [binder, in hydras.Ackermann.primRec]
c:55 [binder, in hydras.Ackermann.cPair]
c:558 [binder, in hydras.Gamma0.Gamma0]
c:56 [binder, in hydras.Prelude.Comparable]
c:56 [binder, in additions.Addition_Chains]
c:565 [binder, in hydras.Epsilon0.T1]
c:567 [binder, in hydras.Gamma0.Gamma0]
c:57 [binder, in additions.AM]
c:573 [binder, in hydras.Epsilon0.T1]
c:574 [binder, in hydras.Gamma0.Gamma0]
c:577 [binder, in hydras.Epsilon0.T1]
c:578 [binder, in hydras.Gamma0.Gamma0]
c:580 [binder, in hydras.Gamma0.Gamma0]
c:581 [binder, in hydras.Epsilon0.T1]
c:583 [binder, in hydras.Gamma0.Gamma0]
c:59 [binder, in hydras.Hydra.BigBattle]
c:591 [binder, in hydras.Gamma0.Gamma0]
c:594 [binder, in hydras.Gamma0.Gamma0]
c:599 [binder, in hydras.Gamma0.Gamma0]
c:604 [binder, in hydras.Epsilon0.T1]
c:607 [binder, in hydras.Epsilon0.T1]
c:611 [binder, in hydras.Epsilon0.T1]
c:614 [binder, in hydras.Epsilon0.T1]
c:617 [binder, in hydras.Epsilon0.T1]
c:617 [binder, in hydras.Ackermann.primRec]
c:621 [binder, in hydras.Epsilon0.T1]
c:623 [binder, in hydras.Epsilon0.T1]
c:625 [binder, in hydras.Ackermann.primRec]
c:629 [binder, in hydras.Epsilon0.T1]
c:629 [binder, in hydras.Ackermann.primRec]
c:636 [binder, in hydras.Gamma0.Gamma0]
c:644 [binder, in hydras.Ackermann.primRec]
c:649 [binder, in hydras.Ackermann.primRec]
c:657 [binder, in hydras.Ackermann.primRec]
c:673 [binder, in hydras.Gamma0.Gamma0]
c:68 [binder, in hydras.Schutte.Schutte_basics]
c:68 [binder, in additions.Addition_Chains]
c:680 [binder, in hydras.Ackermann.primRec]
c:684 [binder, in hydras.Ackermann.primRec]
c:687 [binder, in hydras.Ackermann.primRec]
c:689 [binder, in hydras.Ackermann.primRec]
c:69 [binder, in hydras.Prelude.DecPreOrder]
c:691 [binder, in hydras.Ackermann.primRec]
c:692 [binder, in hydras.Gamma0.Gamma0]
c:693 [binder, in hydras.Ackermann.primRec]
c:696 [binder, in hydras.Ackermann.primRec]
c:699 [binder, in hydras.Ackermann.primRec]
c:70 [binder, in additions.Addition_Chains]
c:71 [binder, in hydras.Gamma0.T2]
c:71 [binder, in additions.AM]
c:71 [binder, in hydras.Schutte.Schutte_basics]
c:720 [binder, in hydras.Ackermann.primRec]
c:722 [binder, in gaia_hydras.nfwfgaia]
c:724 [binder, in hydras.Ackermann.primRec]
c:729 [binder, in hydras.Ackermann.primRec]
c:732 [binder, in hydras.Ackermann.primRec]
c:733 [binder, in hydras.Epsilon0.T1]
c:735 [binder, in hydras.Ackermann.primRec]
c:737 [binder, in hydras.Epsilon0.T1]
c:738 [binder, in hydras.Ackermann.primRec]
c:74 [binder, in hydras.Schutte.Schutte_basics]
c:741 [binder, in hydras.Ackermann.primRec]
c:744 [binder, in hydras.Ackermann.primRec]
c:747 [binder, in hydras.Ackermann.primRec]
c:75 [binder, in hydras.Prelude.DecPreOrder]
c:750 [binder, in hydras.Ackermann.primRec]
c:753 [binder, in hydras.Ackermann.primRec]
c:756 [binder, in hydras.Ackermann.primRec]
c:762 [binder, in hydras.Ackermann.primRec]
c:764 [binder, in hydras.Ackermann.primRec]
c:766 [binder, in hydras.Ackermann.primRec]
c:768 [binder, in hydras.Ackermann.primRec]
c:77 [binder, in hydras.Schutte.Schutte_basics]
c:770 [binder, in hydras.Ackermann.primRec]
c:772 [binder, in hydras.Ackermann.primRec]
c:774 [binder, in hydras.Ackermann.primRec]
c:776 [binder, in hydras.Ackermann.primRec]
c:778 [binder, in hydras.Ackermann.primRec]
c:78 [binder, in additions.Addition_Chains]
c:780 [binder, in hydras.Ackermann.primRec]
c:782 [binder, in hydras.Ackermann.primRec]
c:784 [binder, in hydras.Ackermann.primRec]
c:787 [binder, in hydras.Ackermann.primRec]
c:79 [binder, in hydras.Epsilon0.Hessenberg]
c:790 [binder, in hydras.Ackermann.primRec]
c:798 [binder, in hydras.Ackermann.primRec]
c:8 [binder, in hydras.Prelude.MoreDecidable]
c:8 [binder, in hydras.Gamma0.Gamma0]
c:80 [binder, in additions.Addition_Chains]
c:804 [binder, in hydras.Ackermann.primRec]
c:81 [binder, in additions.AM]
c:850 [binder, in hydras.Ackermann.codeSubFormula]
c:854 [binder, in gaia_hydras.nfwfgaia]
c:863 [binder, in gaia_hydras.nfwfgaia]
c:868 [binder, in gaia_hydras.nfwfgaia]
c:88 [binder, in hydras.OrdinalNotations.OmegaOmega]
c:9 [binder, in hydras.MoreAck.PrimRecExamples]
c:90 [binder, in hydras.MoreAck.PrimRecExamples]
c:905 [binder, in gaia_hydras.nfwfgaia]
c:91 [binder, in additions.AM]
c:913 [binder, in gaia_hydras.nfwfgaia]
c:92 [binder, in additions.AM]
c:93 [binder, in hydras.Gamma0.T2]
c:940 [binder, in gaia_hydras.nfwfgaia]
c:947 [binder, in gaia_hydras.nfwfgaia]
c:95 [binder, in hydras.Prelude.Comparable]
c:995 [binder, in gaia_hydras.nfwfgaia]

D

daughters:7 [binder, in hydras.Hydra.Hydra_Definitions]
DA:36 [binder, in hydras.Schutte.Countable]
DA:37 [binder, in hydras.Prelude.DecPreOrder_Instances]
DB:38 [binder, in hydras.Prelude.DecPreOrder_Instances]
DecidableSet [definition, in Goedel.rosser]
decidable_set [library]
decide [projection, in hydras.Prelude.STDPP_compat]
decide [constructor, in hydras.Prelude.STDPP_compat]
decideAxioms [lemma, in Goedel.rosserPA]
decideAxioms [lemma, in Goedel.rosser]
decide_hltE [lemma, in gaia_hydras.T1Bridge]
decide_rel [projection, in hydras.Prelude.STDPP_compat]
decide_rel [constructor, in hydras.Prelude.STDPP_compat]
Decision [record, in hydras.Prelude.STDPP_compat]
Decision [inductive, in hydras.Prelude.STDPP_compat]
decomp [lemma, in hydras.Prelude.MoreVectors]
decompose [lemma, in hydras.OrdinalNotations.ON_Omega2]
decompos2 [lemma, in hydras.Prelude.MoreVectors]
decomp1 [lemma, in hydras.Prelude.MoreVectors]
decomp2 [lemma, in hydras.Prelude.MoreVectors]
DecPreOrder [library]
DecPreOrder_Instances [library]
decr [projection, in hydras.Prelude.WfVariant]
decr_seq [lemma, in hydras.solutions_exercises.MultisetWf]
dec:20 [binder, in hydras.Prelude.STDPP_compat]
dec:33 [binder, in hydras.Prelude.Sort_spec]
dec:42 [binder, in hydras.Prelude.Sort_spec]
dec:66 [binder, in hydras.Prelude.Sort_spec]
dec:77 [binder, in hydras.Prelude.Sort_spec]
dec:90 [binder, in hydras.Prelude.DecPreOrder]
Deduction [library]
DeductionTheorem [lemma, in hydras.Ackermann.Deduction]
Deduction_Theorem.list_incl [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.SysPrf [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.Prf [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.Terms [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.Term [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.System [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.Formulas [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.Formula [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem.L [variable, in hydras.Ackermann.Deduction]
Deduction_Theorem [section, in hydras.Ackermann.Deduction]
Definitions [section, in additions.FirstSteps]
Definitions [section, in hydras.OrdinalNotations.ON_Generic]
Definitions [section, in hydras.Prelude.Simple_LexProd]
Definitions.A [variable, in additions.FirstSteps]
Definitions.A [variable, in hydras.Prelude.Simple_LexProd]
Definitions.B [variable, in hydras.Prelude.Simple_LexProd]
Definitions.ltA [variable, in hydras.Prelude.Simple_LexProd]
Definitions.ltB [variable, in hydras.Prelude.Simple_LexProd]
Definitions.mult [variable, in additions.FirstSteps]
Definitions.one [variable, in additions.FirstSteps]
Definitions.pair2sig [variable, in hydras.Prelude.Simple_LexProd]
Definitions.wfA [variable, in hydras.Prelude.Simple_LexProd]
Definitions.wfB [variable, in hydras.Prelude.Simple_LexProd]
_ ^ _ [notation, in additions.FirstSteps]
_ * _ [notation, in additions.FirstSteps]
1 [notation, in additions.FirstSteps]
Defs [section, in hydras.Prelude.MoreOrders]
Defs [section, in hydras.OrdinalNotations.ON_mult]
Defs [section, in hydras.OrdinalNotations.ON_plus]
Defs.A [variable, in hydras.Prelude.MoreOrders]
Defs.lt [variable, in hydras.Prelude.MoreOrders]
_ <= _ [notation, in hydras.Prelude.MoreOrders]
_ < _ [notation, in hydras.Prelude.MoreOrders]
delta:593 [binder, in hydras.Epsilon0.T1]
delta:62 [binder, in hydras.Schutte.Addition]
Demo [module, in additions.Monoid_def]
Demo [library]
Demo_power [library]
Demo.nat_mult_op [instance, in additions.Monoid_def]
den_U [lemma, in hydras.Schutte.Ordering_Functions]
depth [definition, in hydras.Ackermann.fol]
depthForall [lemma, in hydras.Ackermann.fol]
depthImp1 [lemma, in hydras.Ackermann.fol]
depthImp2 [lemma, in hydras.Ackermann.fol]
depthNot [lemma, in hydras.Ackermann.fol]
depth_rec_demo.a [variable, in hydras.MoreAck.FolExamples]
depth_rec_demo.P [variable, in hydras.MoreAck.FolExamples]
depth_rec_demo.L [variable, in hydras.MoreAck.FolExamples]
depth_rec_demo [section, in hydras.MoreAck.FolExamples]
dest:102 [binder, in hydras.Hydra.Hydra_Definitions]
dicho [definition, in additions.Dichotomy]
Dichotomy [library]
Dicho_strat [instance, in additions.Dichotomy]
dicho_gt [lemma, in additions.Dichotomy]
dicho_lt [lemma, in additions.Dichotomy]
dicho_aux_gt [lemma, in additions.Dichotomy]
dicho_aux_lt [lemma, in additions.Dichotomy]
dicho_aux_le_xIXI [lemma, in additions.Dichotomy]
dicho_aux_le_xIXO [lemma, in additions.Dichotomy]
dicho_aux_le_xOXI [lemma, in additions.Dichotomy]
dicho_aux_le_xOXO [lemma, in additions.Dichotomy]
dicho_aux_xIxI [lemma, in additions.Dichotomy]
dicho_aux_xIxO [lemma, in additions.Dichotomy]
dicho_aux_xOxI [lemma, in additions.Dichotomy]
dicho_aux_xOxO [lemma, in additions.Dichotomy]
dickson [library]
diffP [lemma, in gaia_hydras.GPrelude]
Direct_proof.nf_Acc [lemma, in hydras.Epsilon0.T1]
Direct_proof.Acc_implies_Acc_strong [lemma, in hydras.Epsilon0.T1]
Direct_proof.Acc_strong_stronger [lemma, in hydras.Epsilon0.T1]
Direct_proof.acc_impl [lemma, in hydras.Epsilon0.T1]
Direct_proof.well_foundedness_proof.Acc_strong [variable, in hydras.Epsilon0.T1]
Direct_proof.wf_LT [lemma, in hydras.Epsilon0.T1]
Direct_proof.well_foundedness_proof.First_attempt [section, in hydras.Epsilon0.T1]
Direct_proof.Acc_zero [lemma, in hydras.Epsilon0.T1]
Direct_proof.well_foundedness_proof [section, in hydras.Epsilon0.T1]
Direct_proof [module, in hydras.Epsilon0.T1]
disp:27 [binder, in gaia_hydras.onType]
div_eucl_unique [lemma, in hydras.Prelude.More_Arith]
div_not_qlt [lemma, in hydras.Prelude.More_Arith]
div_gamma_pos [lemma, in additions.Strategies]
div2IsPR [instance, in hydras.Ackermann.cPair]
div2_even_plus [lemma, in hydras.Prelude.More_Arith]
div2_incr [lemma, in hydras.Prelude.More_Arith]
div2_of_Even [lemma, in hydras.Prelude.More_Arith]
div2_double_is_id [lemma, in hydras.Prelude.More_Arith]
dominates [definition, in hydras.Prelude.Iterates]
dominates [definition, in gaia_hydras.T1Bridge]
dominates_iterate [lemma, in hydras.Prelude.Iterates]
dominates_from_le [lemma, in hydras.Prelude.Iterates]
dominates_trans_strong [lemma, in hydras.Prelude.Iterates]
dominates_trans [lemma, in hydras.Prelude.Iterates]
dominates_from_trans [lemma, in hydras.Prelude.Iterates]
dominates_strong [definition, in hydras.Prelude.Iterates]
dominates_from [definition, in hydras.Prelude.Iterates]
dominates_strong [definition, in gaia_hydras.T1Bridge]
dominates_from [definition, in gaia_hydras.T1Bridge]
dom_AckNotPR [lemma, in hydras.MoreAck.AckNotPR]
dom_AckNotPR.Hf [variable, in hydras.MoreAck.AckNotPR]
dom_AckNotPR.f [variable, in hydras.MoreAck.AckNotPR]
dom_AckNotPR [section, in hydras.MoreAck.AckNotPR]
dom:152 [binder, in hydras.rpo.more_list]
Done [lemma, in hydras.Hydra.BigBattle]
double [definition, in hydras.solutions_exercises.MorePRExamples]
double [definition, in hydras.MoreAck.PrimRecExamples]
doubleIsPR [lemma, in hydras.solutions_exercises.MorePRExamples]
doubleIsPR [instance, in hydras.MoreAck.PrimRecExamples]
doubleS [definition, in hydras.Hydra.BigBattle]
doubleS_law [lemma, in hydras.Hydra.BigBattle]
double_is_even [lemma, in hydras.Prelude.More_Arith]
double_inj [lemma, in hydras.Prelude.More_Arith]
double_plus [lemma, in hydras.Prelude.More_Arith]
double_S [lemma, in hydras.Prelude.More_Arith]
DS_iota.Proof_case_6.Hn [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.n [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.gamma_pos [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.Hgamma [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.Hbeta [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.gamma [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6.beta [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_6 [section, in hydras.Hydra.O2H]
DS_iota.Proof_case_5.Hn [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_5.n [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_5.Hgamma [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_5.gamma [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_5 [section, in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hn [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_4.n [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hlim [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hlambda [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_4.lambda [variable, in hydras.Hydra.O2H]
DS_iota.Proof_case_4 [section, in hydras.Hydra.O2H]
DS_iota_3 [lemma, in hydras.Hydra.O2H]
DS_iota_2 [lemma, in hydras.Hydra.O2H]
DS_iota_1 [lemma, in hydras.Hydra.O2H]
DS_iota.Hrec [variable, in hydras.Hydra.O2H]
DS_iota.nonzero [variable, in hydras.Hydra.O2H]
DS_iota.Halpha [variable, in hydras.Hydra.O2H]
DS_iota.i [variable, in hydras.Hydra.O2H]
DS_iota.alpha [variable, in hydras.Hydra.O2H]
DS_iota [section, in hydras.Hydra.O2H]
d':1205 [binder, in gaia_hydras.nfwfgaia]
d':1339 [binder, in gaia_hydras.nfwfgaia]
d':1385 [binder, in gaia_hydras.nfwfgaia]
d':1437 [binder, in gaia_hydras.nfwfgaia]
d':1501 [binder, in gaia_hydras.nfwfgaia]
d':1557 [binder, in gaia_hydras.nfwfgaia]
d':1586 [binder, in gaia_hydras.nfwfgaia]
d':1610 [binder, in gaia_hydras.nfwfgaia]
d':1692 [binder, in gaia_hydras.nfwfgaia]
d':2044 [binder, in gaia_hydras.nfwfgaia]
d':2067 [binder, in gaia_hydras.nfwfgaia]
d':27 [binder, in additions.Monoid_instances]
d':849 [binder, in gaia_hydras.nfwfgaia]
d:10 [binder, in hydras.MoreAck.PrimRecExamples]
d:116 [binder, in hydras.Ackermann.cPair]
d:118 [binder, in hydras.Epsilon0.Hessenberg]
d:13 [binder, in hydras.Prelude.MoreDecidable]
d:1308 [binder, in hydras.Ackermann.codeSubFormula]
d:1334 [binder, in gaia_hydras.nfwfgaia]
d:1349 [binder, in gaia_hydras.nfwfgaia]
d:1354 [binder, in gaia_hydras.nfwfgaia]
d:1359 [binder, in gaia_hydras.nfwfgaia]
d:1364 [binder, in gaia_hydras.nfwfgaia]
d:1369 [binder, in gaia_hydras.nfwfgaia]
d:1374 [binder, in gaia_hydras.nfwfgaia]
d:1380 [binder, in gaia_hydras.nfwfgaia]
d:1432 [binder, in gaia_hydras.nfwfgaia]
d:146 [binder, in additions.fib]
d:149 [binder, in hydras.Ackermann.LNT]
d:1496 [binder, in gaia_hydras.nfwfgaia]
d:152 [binder, in hydras.Ackermann.LNN]
d:152 [binder, in hydras.Ackermann.primRec]
d:1535 [binder, in gaia_hydras.nfwfgaia]
d:154 [binder, in hydras.Ackermann.LNT]
d:1546 [binder, in gaia_hydras.nfwfgaia]
d:1555 [binder, in gaia_hydras.nfwfgaia]
d:156 [binder, in hydras.Ackermann.primRec]
d:157 [binder, in hydras.Ackermann.LNN]
d:1591 [binder, in gaia_hydras.nfwfgaia]
d:160 [binder, in hydras.Ackermann.primRec]
d:1605 [binder, in gaia_hydras.nfwfgaia]
d:164 [binder, in hydras.Ackermann.primRec]
d:165 [binder, in hydras.Ackermann.LNN]
d:1654 [binder, in gaia_hydras.nfwfgaia]
d:1678 [binder, in gaia_hydras.nfwfgaia]
d:1687 [binder, in gaia_hydras.nfwfgaia]
d:17 [binder, in hydras.MoreAck.PrimRecExamples]
d:1795 [binder, in gaia_hydras.nfwfgaia]
d:19 [binder, in hydras.Prelude.MoreDecidable]
D:2 [binder, in hydras.Schutte.Lub]
d:2029 [binder, in gaia_hydras.nfwfgaia]
d:23 [binder, in additions.Monoid_instances]
d:267 [binder, in hydras.Ackermann.primRec]
d:271 [binder, in hydras.Ackermann.primRec]
d:275 [binder, in hydras.Ackermann.primRec]
d:279 [binder, in hydras.Ackermann.primRec]
d:283 [binder, in hydras.Ackermann.primRec]
d:288 [binder, in hydras.Ackermann.primRec]
d:292 [binder, in hydras.Ackermann.primRec]
d:296 [binder, in hydras.Ackermann.primRec]
d:301 [binder, in hydras.Ackermann.primRec]
d:305 [binder, in hydras.Ackermann.primRec]
d:309 [binder, in hydras.Ackermann.primRec]
d:313 [binder, in hydras.Ackermann.primRec]
d:317 [binder, in hydras.Ackermann.primRec]
d:321 [binder, in hydras.Ackermann.primRec]
d:325 [binder, in hydras.Ackermann.primRec]
d:330 [binder, in hydras.Ackermann.primRec]
d:334 [binder, in hydras.Ackermann.primRec]
d:335 [binder, in additions.Euclidean_Chains]
d:338 [binder, in hydras.Ackermann.primRec]
d:34 [binder, in hydras.Ackermann.folLogic3]
d:342 [binder, in hydras.Ackermann.primRec]
d:346 [binder, in hydras.Ackermann.primRec]
d:36 [binder, in hydras.Ackermann.cPair]
d:385 [binder, in additions.Euclidean_Chains]
d:391 [binder, in additions.Euclidean_Chains]
d:398 [binder, in additions.Euclidean_Chains]
d:4 [binder, in hydras.Prelude.MoreDecidable]
d:44 [binder, in hydras.Ackermann.cPair]
d:48 [binder, in hydras.Ackermann.cPair]
d:5 [binder, in hydras.Prelude.MoreDecidable]
d:52 [binder, in hydras.Ackermann.cPair]
d:56 [binder, in hydras.Ackermann.cPair]
d:567 [binder, in hydras.Epsilon0.T1]
d:595 [binder, in hydras.Gamma0.Gamma0]
d:609 [binder, in hydras.Epsilon0.T1]
d:625 [binder, in hydras.Epsilon0.T1]
d:631 [binder, in hydras.Epsilon0.T1]
d:658 [binder, in hydras.Ackermann.primRec]
D:8 [binder, in hydras.Schutte.Lub]
d:845 [binder, in gaia_hydras.nfwfgaia]
d:851 [binder, in hydras.Ackermann.codeSubFormula]
d:91 [binder, in hydras.MoreAck.PrimRecExamples]

E

Elements [definition, in hydras.Epsilon0.T1]
embedding [lemma, in hydras.Schutte.Correctness_E0]
EMonoid [record, in additions.Monoid_def]
empty_interval [lemma, in hydras.Prelude.MoreLists]
empty_ordering [lemma, in hydras.Schutte.Ordering_Functions]
Eone_right [projection, in additions.Monoid_def]
Eone_left [projection, in additions.Monoid_def]
Eop_proper [instance, in additions.Pow_variant]
Eop_proper [instance, in additions.Pow]
Eop_comm [projection, in additions.Monoid_def]
Eop_assoc [projection, in additions.Monoid_def]
Eop_proper [projection, in additions.Monoid_def]
epsilon [definition, in hydras.Gamma0.T2]
epsilon_0 [definition, in hydras.Epsilon0.T1]
epsilon_equiv [lemma, in hydras.Schutte.MoreEpsilonIota]
epsilon_ind [lemma, in hydras.Schutte.MoreEpsilonIota]
epsilon_fxp [lemma, in hydras.Gamma0.Gamma0]
epsilon0 [abbreviation, in hydras.Gamma0.T2]
epsilon0 [definition, in hydras.Schutte.AP]
Epsilon0 [instance, in gaia_hydras.T1Bridge]
Epsilon0 [instance, in hydras.Epsilon0.E0]
Epsilon0 [library]
Epsilon0rpo [library]
epsilon0_dec [instance, in hydras.Epsilon0.T1]
epsilon0_pre_order [instance, in hydras.Epsilon0.T1]
Epsilon0_correct [instance, in hydras.Schutte.Correctness_E0]
epsilon0_Cr1 [lemma, in hydras.Schutte.Critical]
epsilon0_lfp [lemma, in hydras.Schutte.AP]
epsilon0_AP [lemma, in hydras.Schutte.AP]
epsilon0_fxp [lemma, in hydras.Schutte.AP]
epsilon0_as_lub [lemma, in hydras.Gamma0.Gamma0]
epsilon0_fxp [lemma, in hydras.Gamma0.Gamma0]
Epsilon0_Needed_Std [library]
Epsilon0_Needed_Free [library]
Epsilon0_Needed_Generic [library]
eqA:107 [binder, in hydras.rpo.more_list]
eqA:115 [binder, in hydras.rpo.more_list]
eqA:139 [binder, in hydras.rpo.more_list]
eqA:148 [binder, in hydras.rpo.more_list]
eqA:158 [binder, in hydras.rpo.more_list]
eqA:167 [binder, in hydras.rpo.more_list]
eqA:174 [binder, in hydras.rpo.more_list]
eqA:182 [binder, in hydras.rpo.more_list]
eqA:190 [binder, in hydras.rpo.more_list]
eqA:205 [binder, in hydras.rpo.more_list]
eqA:214 [binder, in hydras.rpo.more_list]
eqA:224 [binder, in hydras.rpo.more_list]
eqA:242 [binder, in hydras.rpo.more_list]
eqA:251 [binder, in hydras.rpo.more_list]
eqA:263 [binder, in hydras.rpo.more_list]
eqA:81 [binder, in hydras.rpo.more_list]
eqA:91 [binder, in hydras.rpo.more_list]
eqA:99 [binder, in hydras.rpo.more_list]
EqDecision [abbreviation, in hydras.Prelude.STDPP_compat]
eqDepth [lemma, in hydras.Ackermann.fol]
eqIsPR [instance, in hydras.Ackermann.primRec]
eqLT [lemma, in hydras.Ackermann.LNN]
eqn_simpl2 [lemma, in gaia_hydras.nfwfgaia]
eqn_simpl1 [lemma, in gaia_hydras.nfwfgaia]
eqPlus [lemma, in hydras.Ackermann.LNN]
eqPlus [lemma, in hydras.Ackermann.LNT]
eqRefl [lemma, in hydras.Ackermann.LNN]
eqRefl [lemma, in hydras.Ackermann.LNT]
eqRefl [lemma, in hydras.Ackermann.folLogic3]
eqSucc [lemma, in hydras.Ackermann.LNN]
eqSucc [lemma, in hydras.Ackermann.LNT]
eqSym [lemma, in hydras.Ackermann.LNN]
eqSym [lemma, in hydras.Ackermann.LNT]
eqSym [lemma, in hydras.Ackermann.folLogic3]
eqTimes [lemma, in hydras.Ackermann.LNN]
eqTimes [lemma, in hydras.Ackermann.LNT]
eqTrans [lemma, in hydras.Ackermann.LNN]
eqTrans [lemma, in hydras.Ackermann.LNT]
eqTrans [lemma, in hydras.Ackermann.folLogic3]
equal [constructor, in hydras.Ackermann.fol]
equalFunction [lemma, in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.termsMap [variable, in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.SysPrf [variable, in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.Prf [variable, in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.L [variable, in hydras.Ackermann.folLogic3]
Equality_Logic_Rules [section, in hydras.Ackermann.folLogic3]
equalRelation [lemma, in hydras.Ackermann.folLogic3]
Equations_for_addition.case3.Hac [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.case3 [section, in hydras.Schutte.Correctness_E0]
Equations_for_addition.case2.Hac [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.case2 [section, in hydras.Schutte.Correctness_E0]
Equations_for_addition.case1.Hac [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.case1 [section, in hydras.Schutte.Correctness_E0]
Equations_for_addition.beta [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.alpha [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.Hnfc [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.Hnfa [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.p [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.n [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.d [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.c [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.b [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition.a [variable, in hydras.Schutte.Correctness_E0]
Equations_for_addition [section, in hydras.Schutte.Correctness_E0]
equiv [definition, in hydras.Prelude.Sort_spec]
equiv [projection, in additions.Monoid_def]
Equiv [record, in additions.Monoid_def]
equiv [constructor, in additions.Monoid_def]
Equiv [inductive, in additions.Monoid_def]
Equivalence [section, in additions.Compatibility]
Equivalence.A [variable, in additions.Compatibility]
Equivalence.is_power_of [variable, in additions.Compatibility]
Equivalence.one [variable, in additions.Compatibility]
Equivalence.op [variable, in additions.Compatibility]
Equivalence.pos_iter_M [variable, in additions.Compatibility]
equiv_equiv [instance, in hydras.Prelude.Sort_spec]
equiv_equiv [instance, in hydras.Prelude.DecPreOrder]
equiv_not_lt [lemma, in hydras.Prelude.DecPreOrder]
Equiv_Trans [instance, in additions.Monoid_def]
Equiv_Sym [instance, in additions.Monoid_def]
Equiv_Refl [instance, in additions.Monoid_def]
Equiv_Equiv [instance, in additions.Monoid_def]
equiv:44 [binder, in additions.Euclidean_Chains]
equiv:49 [binder, in additions.Euclidean_Chains]
equiv:52 [binder, in additions.Euclidean_Chains]
equ:101 [binder, in additions.AM]
equ:106 [binder, in additions.AM]
equ:111 [binder, in additions.AM]
equ:121 [binder, in additions.AM]
equ:126 [binder, in additions.AM]
equ:38 [binder, in additions.AM]
equ:44 [binder, in additions.AM]
equ:55 [binder, in additions.AM]
equ:62 [binder, in additions.AM]
equ:75 [binder, in additions.AM]
equ:85 [binder, in additions.AM]
equ:96 [binder, in additions.AM]
eqv:104 [binder, in additions.Addition_Chains]
eqv:112 [binder, in additions.Addition_Chains]
eqv:118 [binder, in additions.Addition_Chains]
eqv:125 [binder, in additions.Addition_Chains]
eqv:132 [binder, in additions.Addition_Chains]
eqv:162 [binder, in additions.Addition_Chains]
eqv:169 [binder, in additions.Addition_Chains]
eqv:175 [binder, in additions.Addition_Chains]
eq_succ_lt [lemma, in hydras.Epsilon0.T1]
eq_succ_LT [lemma, in hydras.Epsilon0.T1]
eq_dec [lemma, in hydras.OrdinalNotations.ON_Omega2]
eq_dec [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
eq_equiv [instance, in additions.Monoid_def]
Eq_equiv [projection, in additions.Monoid_def]
eq_le [lemma, in hydras.Schutte.Schutte_basics]
eq_A_dec:19 [binder, in hydras.rpo.rpo]
eq_A_dec:14 [binder, in hydras.rpo.rpo]
eq_A_dec:5 [binder, in hydras.rpo.rpo]
EQ1 [constructor, in hydras.Ackermann.folProof]
EQ2 [constructor, in hydras.Ackermann.folProof]
EQ3 [constructor, in hydras.Ackermann.folProof]
EQ4 [constructor, in hydras.Ackermann.folProof]
EQ5 [constructor, in hydras.Ackermann.folProof]
essai [section, in hydras.Epsilon0.T1]
essai.n [variable, in hydras.Epsilon0.T1]
eta:80 [binder, in hydras.Schutte.Critical]
Euclidean_Chains [library]
Euc1 [lemma, in hydras.Prelude.More_Arith]
eval [definition, in hydras.Schutte.CNF]
evalComposeFunc [definition, in hydras.Ackermann.primRec]
evalConstFunc [definition, in hydras.Ackermann.primRec]
evalList [section, in hydras.MoreAck.AckNotPR]
evalList [definition, in hydras.Ackermann.primRec]
evalListComp [lemma, in hydras.MoreAck.AckNotPR]
evalListCompose2 [lemma, in hydras.MoreAck.AckNotPR]
evalListPrimrec_S [lemma, in hydras.MoreAck.AckNotPR]
evalListPrimrec_0 [lemma, in hydras.MoreAck.AckNotPR]
evalList_Const [lemma, in hydras.MoreAck.AckNotPR]
evalOneParamList [definition, in hydras.Ackermann.primRec]
evalPrimRec [definition, in hydras.Ackermann.primRec]
evalPrimRecFunc [definition, in hydras.Ackermann.primRec]
evalPrimRecParam [lemma, in hydras.Ackermann.primRec]
evalPrimRecs [definition, in hydras.Ackermann.primRec]
evalProjFunc [definition, in hydras.Ackermann.primRec]
evalProjFuncInd [lemma, in hydras.Ackermann.primRec]
evalStrongRec [definition, in hydras.Ackermann.cPair]
evalStrongRecHelp [definition, in hydras.Ackermann.cPair]
evalStrongRecHelpParam [lemma, in hydras.Ackermann.cPair]
evalStrongRecHelp1 [lemma, in hydras.Ackermann.cPair]
evalStrongRecHelp2 [lemma, in hydras.Ackermann.cPair]
evalStrongRecIsPR [instance, in hydras.Ackermann.cPair]
eval_pp [definition, in hydras.Epsilon0.T1]
even_prod [lemma, in hydras.Prelude.More_Arith]
every_battle_terminates [lemma, in hydras.Hydra.Hydra_Termination]
every_battle_terminates [lemma, in gaia_hydras.GHydra]
Ex [definition, in hydras.Epsilon0.Large_Sets]
exact_log2_spec [lemma, in additions.More_on_positive]
exact_log2xOx0 [lemma, in additions.More_on_positive]
exact_log2 [definition, in additions.More_on_positive]
Examples [section, in hydras.Ackermann.LNT]
Examples [section, in hydras.MoreAck.LNN_Examples]
Examples [module, in hydras.Hydra.Hydra_Examples]
Examples [module, in hydras.Ackermann.primRec]
Examples [module, in additions.Euclidean_Chains]
Examples.big_correct''' [lemma, in additions.Euclidean_Chains]
Examples.big_correct' [lemma, in additions.Euclidean_Chains]
Examples.big_correct [lemma, in additions.Euclidean_Chains]
Examples.big_chain [definition, in additions.Euclidean_Chains]
Examples.binary_int31_power [definition, in additions.Euclidean_Chains]
Examples.C87' [definition, in additions.Euclidean_Chains]
Examples.exact_sqrt [definition, in hydras.Ackermann.primRec]
Examples.exp56789 [definition, in additions.Euclidean_Chains]
Examples.Exx [definition, in hydras.Hydra.Hydra_Examples]
Examples.ex_2 [definition, in hydras.Hydra.Hydra_Examples]
Examples.ex1 [definition, in hydras.Hydra.Hydra_Examples]
Examples.ex4 [definition, in hydras.Hydra.Hydra_Examples]
Examples.Ex5 [definition, in hydras.Hydra.Hydra_Examples]
Examples.f [variable, in hydras.Ackermann.LNT]
Examples.fast_int63_power [definition, in additions.Euclidean_Chains]
Examples.f1 [variable, in hydras.MoreAck.LNN_Examples]
Examples.f2 [variable, in hydras.MoreAck.LNN_Examples]
Examples.f2' [variable, in hydras.MoreAck.LNN_Examples]
Examples.f3 [variable, in hydras.MoreAck.LNN_Examples]
Examples.f4 [variable, in hydras.MoreAck.LNN_Examples]
Examples.height_not_strictly_decreasing [definition, in hydras.Hydra.Hydra_Examples]
Examples.hsize_bigger [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy_Hy''' [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy_3 [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy_2 [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy_1 [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy' [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy'H'' [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy'' [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy''_Hy''' [definition, in hydras.Hydra.Hydra_Examples]
Examples.Hy''' [definition, in hydras.Hydra.Hydra_Examples]
Examples.M [definition, in additions.Euclidean_Chains]
Examples.RM [lemma, in additions.Euclidean_Chains]
Examples.R2_example [definition, in hydras.Hydra.Hydra_Examples]
Examples.slow_int31_power [definition, in additions.Euclidean_Chains]
Examples.sqrtHelp [definition, in hydras.Ackermann.primRec]
Examples.t1 [variable, in hydras.MoreAck.LNN_Examples]
Examples.Unnamed_thm [definition, in additions.Euclidean_Chains]
Example_3PlusOmega [library]
exec [definition, in additions.AM]
exec_Proper [instance, in additions.AM]
exec_equiv [lemma, in additions.AM]
exec_app [lemma, in additions.AM]
exH' [abbreviation, in hydras.Ackermann.LNT]
existE [lemma, in hydras.Ackermann.LNN]
existE [lemma, in hydras.Ackermann.LNT]
existE [lemma, in hydras.Ackermann.folLogic]
existH [definition, in hydras.Ackermann.fol]
existI [lemma, in hydras.Ackermann.LNN]
existI [lemma, in hydras.Ackermann.LNT]
existI [lemma, in hydras.Ackermann.folLogic]
existSimp [lemma, in hydras.Ackermann.LNN]
existSimp [lemma, in hydras.Ackermann.LNT]
existSimp [lemma, in hydras.Ackermann.folLogic]
existSys [lemma, in hydras.Ackermann.LNN]
existSys [lemma, in hydras.Ackermann.LNT]
existSys [lemma, in hydras.Ackermann.folLogic]
exists_map12_without_repetition [lemma, in hydras.rpo.more_list]
exists_map_without_repetition [lemma, in hydras.rpo.more_list]
ExNotIncl [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
exp [definition, in hydras.Epsilon0.T1]
exp [definition, in hydras.solutions_exercises.MorePRExamples]
expIsPR [instance, in hydras.solutions_exercises.MorePRExamples]
exponents [definition, in additions.Trace_exercise]
exponents_lt_eval [lemma, in hydras.Schutte.CNF]
exponents_le [definition, in hydras.Schutte.CNF]
exponents_lt [definition, in hydras.Schutte.CNF]
exponent_pos_of_nat [lemma, in additions.Addition_Chains]
exponent_pos2nat [lemma, in additions.Addition_Chains]
exponent_nat_neq_0 [lemma, in additions.Addition_Chains]
Expressible [definition, in hydras.Ackermann.expressible]
expressible [library]
expressibleAlternate [lemma, in hydras.Ackermann.expressible]
expressibleExamples [library]
ExpressibleHelp [definition, in hydras.Ackermann.expressible]
expressT'1 [lemma, in Goedel.rosserPA]
expressT'1 [definition, in Goedel.goedel2]
expressT'2 [lemma, in Goedel.rosserPA]
expressT'2 [definition, in Goedel.goedel2]
exp_F_eq [lemma, in hydras.Epsilon0.T1]
exp_fin_omega [lemma, in hydras.Epsilon0.T1]
exp_F [definition, in hydras.Epsilon0.T1]
exp_alt_PR [instance, in hydras.solutions_exercises.MorePRExamples]
exp_alt_ok [lemma, in hydras.solutions_exercises.MorePRExamples]
exp_alt [definition, in hydras.solutions_exercises.MorePRExamples]
exp2 [definition, in additions.Addition_Chains]
exp2 [definition, in hydras.Prelude.Exp2]
Exp2 [library]
exp2S [lemma, in hydras.Prelude.Exp2]
exp2_as_iterate [lemma, in hydras.Prelude.Iterates]
exp2_mono_weak [lemma, in hydras.Prelude.Iterates]
exp2_mono [lemma, in hydras.Prelude.Iterates]
exp2_ge_S [lemma, in hydras.Prelude.Iterates]
exp2_k_mult_pos [lemma, in hydras.Epsilon0.Large_Sets]
exp2_mono1 [lemma, in hydras.Hydra.BigBattle]
exp2_Plus [lemma, in additions.Addition_Chains]
exp2_gt_id [lemma, in hydras.Prelude.Exp2]
exp2_not_zero [lemma, in hydras.Prelude.Exp2]
exp2_positive [lemma, in hydras.Prelude.Exp2]
exp:746 [binder, in hydras.Epsilon0.T1]
exp:751 [binder, in hydras.Epsilon0.T1]
Exs [section, in hydras.MoreAck.PrimRecExamples]
Exs.f [variable, in hydras.MoreAck.PrimRecExamples]
Exs.fdiv2 [variable, in hydras.MoreAck.PrimRecExamples]
Exs.ffib [variable, in hydras.MoreAck.PrimRecExamples]
extendsNN [lemma, in Goedel.rosserPA]
extendsNN [definition, in Goedel.goedel2]
extEqual [definition, in hydras.Ackermann.extEqualNat]
extEqualCompose [lemma, in hydras.Ackermann.primRec]
extEqualCompose2 [lemma, in hydras.Ackermann.primRec]
extEqualNat [library]
extEqualOneParamList [lemma, in hydras.Ackermann.primRec]
extEqualPrimRec [lemma, in hydras.Ackermann.primRec]
extEqualRefl [lemma, in hydras.Ackermann.extEqualNat]
extEqualSym [lemma, in hydras.Ackermann.extEqualNat]
extEqualTrans [lemma, in hydras.Ackermann.extEqualNat]
extEqualVector [definition, in hydras.Ackermann.primRec]
extEqualVectorGeneral [definition, in hydras.Ackermann.primRec]
extEqualVectorRefl [lemma, in hydras.Ackermann.primRec]
extEqual_ex1 [definition, in hydras.MoreAck.PrimRecExamples]
ex_pos [definition, in gaia_hydras.T1Choice]
ex_path4 [definition, in gaia_hydras.GPaths]
ex_path3 [definition, in gaia_hydras.GPaths]
ex_path2 [definition, in gaia_hydras.GPaths]
ex_path1 [definition, in gaia_hydras.GPaths]
ex_pathS2 [definition, in hydras.Epsilon0.Large_Sets_Examples]
ex_pathS1 [definition, in hydras.Epsilon0.Large_Sets_Examples]
ex_bool [definition, in additions.Monoid_def]
ex_string [definition, in additions.Monoid_def]
ex_path4 [definition, in hydras.Epsilon0.Paths]
ex_path3 [definition, in hydras.Epsilon0.Paths]
ex_path2 [definition, in hydras.Epsilon0.Paths]
ex_path1 [definition, in hydras.Epsilon0.Paths]
ex0 [definition, in gaia_hydras.GCanon]
Ex1 [definition, in hydras.Epsilon0.T1]
Ex1 [definition, in hydras.OrdinalNotations.ON_Omega2]
ex1 [definition, in hydras.OrdinalNotations.ON_Omega2]
Ex1 [definition, in hydras.Gamma0.T2]
ex1 [definition, in gaia_hydras.GCanon]
Ex1 [definition, in hydras.Schutte.MoreEpsilonIota]
ex1 [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Ex1 [definition, in hydras.solutions_exercises.MultisetWf]
Ex1 [definition, in hydras.Epsilon0.Large_Sets_Examples]
Ex1 [definition, in hydras.OrdinalNotations.ON_Finite]
Ex1 [definition, in gaia_hydras.GaiaToHydra]
Ex1 [definition, in hydras.MoreAck.PrimRecExamples]
Ex1 [definition, in hydras.Prelude.Simple_LexProd]
Ex10 [definition, in hydras.Gamma0.Gamma0]
Ex2 [definition, in hydras.Epsilon0.T1]
Ex2 [definition, in hydras.Gamma0.T2]
Ex2 [definition, in hydras.MoreAck.AckNotPR]
ex2 [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Ex2 [definition, in hydras.solutions_exercises.MultisetWf]
Ex2 [definition, in hydras.Epsilon0.Large_Sets_Examples]
Ex2 [definition, in hydras.MoreAck.PrimRecExamples]
Ex2 [definition, in hydras.Prelude.Simple_LexProd]
Ex3 [definition, in hydras.Epsilon0.T1]
Ex3 [definition, in hydras.Gamma0.T2]
ex3 [definition, in hydras.Epsilon0.Large_Sets]
Ex3 [definition, in hydras.solutions_exercises.MultisetWf]
Ex3 [definition, in hydras.MoreAck.PrimRecExamples]
Ex4 [definition, in hydras.Epsilon0.T1]
Ex4 [definition, in hydras.Gamma0.T2]
Ex4 [definition, in hydras.MoreAck.AckNotPR]
Ex4 [definition, in hydras.MoreAck.PrimRecExamples]
Ex42 [definition, in hydras.Schutte.Schutte]
Ex42 [definition, in hydras.OrdinalNotations.OmegaOmega]
Ex42 [definition, in hydras.Epsilon0.E0]
Ex5 [definition, in hydras.Epsilon0.T1]
Ex5 [definition, in hydras.Gamma0.T2]
Ex6 [definition, in hydras.Gamma0.T2]
Ex6 [definition, in hydras.Gamma0.Gamma0]
Ex7 [definition, in hydras.Gamma0.T2]
Ex7 [definition, in hydras.Gamma0.Gamma0]
Ex8 [definition, in hydras.Gamma0.T2]
Ex8 [definition, in hydras.Gamma0.Gamma0]
Ex9 [definition, in hydras.Gamma0.Gamma0]
E_eq:240 [binder, in additions.AM]
E_one:239 [binder, in additions.AM]
E_op:238 [binder, in additions.AM]
E_eq:233 [binder, in additions.AM]
E_one:232 [binder, in additions.AM]
E_op:231 [binder, in additions.AM]
E_eq:51 [binder, in additions.Pow_variant]
E_one:50 [binder, in additions.Pow_variant]
E_op:49 [binder, in additions.Pow_variant]
E_eq:42 [binder, in additions.Pow_variant]
E_one:41 [binder, in additions.Pow_variant]
E_op:40 [binder, in additions.Pow_variant]
E_eq:32 [binder, in additions.Pow_variant]
E_one:31 [binder, in additions.Pow_variant]
E_op:30 [binder, in additions.Pow_variant]
E_eq:26 [binder, in additions.Pow_variant]
E_one:25 [binder, in additions.Pow_variant]
E_op:24 [binder, in additions.Pow_variant]
E_eq:19 [binder, in additions.Pow_variant]
E_one:18 [binder, in additions.Pow_variant]
E_op:17 [binder, in additions.Pow_variant]
E_eq:13 [binder, in additions.Pow_variant]
E_one:12 [binder, in additions.Pow_variant]
E_op:11 [binder, in additions.Pow_variant]
E_eq:4 [binder, in additions.Pow_variant]
E_one:3 [binder, in additions.Pow_variant]
E_op:2 [binder, in additions.Pow_variant]
E_eq:59 [binder, in additions.Pow]
E_op:58 [binder, in additions.Pow]
E_eq:51 [binder, in additions.Pow]
E_one:50 [binder, in additions.Pow]
E_op:49 [binder, in additions.Pow]
E_eq:42 [binder, in additions.Pow]
E_one:41 [binder, in additions.Pow]
E_op:40 [binder, in additions.Pow]
E_eq:32 [binder, in additions.Pow]
E_one:31 [binder, in additions.Pow]
E_op:30 [binder, in additions.Pow]
E_eq:26 [binder, in additions.Pow]
E_one:25 [binder, in additions.Pow]
E_op:24 [binder, in additions.Pow]
E_eq:19 [binder, in additions.Pow]
E_one:18 [binder, in additions.Pow]
E_op:17 [binder, in additions.Pow]
E_eq:13 [binder, in additions.Pow]
E_one:12 [binder, in additions.Pow]
E_op:11 [binder, in additions.Pow]
E_eq:4 [binder, in additions.Pow]
E_one:3 [binder, in additions.Pow]
E_op:2 [binder, in additions.Pow]
E_eq:54 [binder, in additions.Monoid_def]
E_one:53 [binder, in additions.Monoid_def]
E_op:52 [binder, in additions.Monoid_def]
E_eq:49 [binder, in additions.Monoid_def]
E_one:48 [binder, in additions.Monoid_def]
E_op:47 [binder, in additions.Monoid_def]
E_eq:44 [binder, in additions.Monoid_def]
E_one:43 [binder, in additions.Monoid_def]
E_op:42 [binder, in additions.Monoid_def]
E_eq:39 [binder, in additions.Monoid_def]
E_one:38 [binder, in additions.Monoid_def]
E_op:37 [binder, in additions.Monoid_def]
E_eq:24 [binder, in additions.Monoid_def]
E_one:23 [binder, in additions.Monoid_def]
E_op:22 [binder, in additions.Monoid_def]
E_equiv:197 [binder, in additions.Euclidean_Chains]
E_one:196 [binder, in additions.Euclidean_Chains]
E_equiv:185 [binder, in additions.Euclidean_Chains]
E_one:184 [binder, in additions.Euclidean_Chains]
E_equiv:171 [binder, in additions.Euclidean_Chains]
E_one:170 [binder, in additions.Euclidean_Chains]
E_equiv:165 [binder, in additions.Euclidean_Chains]
E_one:164 [binder, in additions.Euclidean_Chains]
E_equiv:113 [binder, in additions.Euclidean_Chains]
E_one:112 [binder, in additions.Euclidean_Chains]
E_equiv:102 [binder, in additions.Euclidean_Chains]
E_one:101 [binder, in additions.Euclidean_Chains]
E_equiv:91 [binder, in additions.Euclidean_Chains]
E_one:90 [binder, in additions.Euclidean_Chains]
E_equiv:71 [binder, in additions.Euclidean_Chains]
E_one:70 [binder, in additions.Euclidean_Chains]
E_equiv:64 [binder, in additions.Euclidean_Chains]
E_one:63 [binder, in additions.Euclidean_Chains]
E_equiv:56 [binder, in additions.Euclidean_Chains]
E_one:55 [binder, in additions.Euclidean_Chains]
E_equiv:38 [binder, in additions.Euclidean_Chains]
E_one:37 [binder, in additions.Euclidean_Chains]
E_eq:234 [binder, in additions.Addition_Chains]
E_one:233 [binder, in additions.Addition_Chains]
E_op:232 [binder, in additions.Addition_Chains]
E_eq:226 [binder, in additions.Addition_Chains]
E_one:225 [binder, in additions.Addition_Chains]
E_op:224 [binder, in additions.Addition_Chains]
E_eq:74 [binder, in additions.Addition_Chains]
E_one:73 [binder, in additions.Addition_Chains]
E_op:72 [binder, in additions.Addition_Chains]
E_eq:66 [binder, in additions.Addition_Chains]
E_one:65 [binder, in additions.Addition_Chains]
E_op:64 [binder, in additions.Addition_Chains]
E_eq:60 [binder, in additions.Addition_Chains]
E_one:59 [binder, in additions.Addition_Chains]
E_op:58 [binder, in additions.Addition_Chains]
E_eq:49 [binder, in additions.Addition_Chains]
E_one:48 [binder, in additions.Addition_Chains]
E_op:47 [binder, in additions.Addition_Chains]
e':33 [binder, in hydras.rpo.list_set]
e':36 [binder, in hydras.rpo.list_set]
E0 [record, in gaia_hydras.T1Bridge]
E0 [record, in hydras.Epsilon0.E0]
E0 [library]
E0add [instance, in hydras.Epsilon0.E0]
E0Canon [definition, in gaia_hydras.GCanon]
E0compare [instance, in gaia_hydras.T1Bridge]
E0compare_correct [lemma, in gaia_hydras.T1Bridge]
E0eqb [definition, in gaia_hydras.T1Bridge]
E0fin [definition, in gaia_hydras.T1Bridge]
E0fin [instance, in hydras.Epsilon0.E0]
E0finS [instance, in hydras.Epsilon0.E0]
E0fin_cnf [lemma, in gaia_hydras.T1Bridge]
E0g2h_omegaE [lemma, in gaia_hydras.T1Bridge]
E0g2h_plusE [lemma, in gaia_hydras.T1Bridge]
E0g2h_mulE [lemma, in gaia_hydras.T1Bridge]
E0g2h_phi0 [lemma, in gaia_hydras.T1Bridge]
E0g2h_Fin [lemma, in gaia_hydras.T1Bridge]
E0is_succE [lemma, in gaia_hydras.T1Bridge]
E0is_succ_succ [lemma, in gaia_hydras.T1Bridge]
E0is_succ [definition, in gaia_hydras.T1Bridge]
E0is_succ [definition, in hydras.Epsilon0.E0]
E0le [definition, in gaia_hydras.T1Bridge]
E0le [definition, in hydras.Epsilon0.E0]
E0limit [definition, in gaia_hydras.T1Bridge]
E0limit [definition, in hydras.Epsilon0.E0]
E0lt [definition, in gaia_hydras.T1Bridge]
E0lt [definition, in hydras.Epsilon0.E0]
E0lt_wf [lemma, in hydras.Epsilon0.E0]
E0mul [definition, in gaia_hydras.T1Bridge]
E0mul [instance, in hydras.Epsilon0.E0]
E0one [instance, in hydras.Epsilon0.E0]
E0plus [definition, in gaia_hydras.T1Bridge]
e0Sub [definition, in gaia_hydras.T1Bridge]
E0succb [abbreviation, in hydras.Epsilon0.E0]
E0zero [definition, in gaia_hydras.T1Bridge]
E0zero [instance, in hydras.Epsilon0.E0]
E0_plus_correct [lemma, in hydras.Schutte.Correctness_E0]
E0_canon_lt [lemma, in gaia_hydras.GCanon]
E0_comp [instance, in gaia_hydras.T1Bridge]
E0_sto [instance, in gaia_hydras.T1Bridge]
E0_pred_succK [lemma, in gaia_hydras.T1Bridge]
E0_diffE [lemma, in gaia_hydras.T1Bridge]
E0_eqE [lemma, in gaia_hydras.T1Bridge]
E0_g2h_h2gK [lemma, in gaia_hydras.T1Bridge]
E0_h2g_g2hK [lemma, in gaia_hydras.T1Bridge]
E0_h2g_nf [lemma, in gaia_hydras.T1Bridge]
E0_g2h [definition, in gaia_hydras.T1Bridge]
E0_h2g [definition, in gaia_hydras.T1Bridge]
E0_phi0 [definition, in gaia_hydras.T1Bridge]
E0_omega [definition, in gaia_hydras.T1Bridge]
E0_pred [definition, in gaia_hydras.T1Bridge]
E0_succ [definition, in gaia_hydras.T1Bridge]
E0_eqtype [definition, in gaia_hydras.T1Bridge]
E0_eq_mixin [definition, in gaia_hydras.T1Bridge]
E0_lt_ge [lemma, in hydras.Epsilon0.E0]
E0_lt_eq_lt [lemma, in hydras.Epsilon0.E0]
E0_not_Lt_zero [lemma, in hydras.Epsilon0.E0]
E0_Lt_Succ_inv [lemma, in hydras.Epsilon0.E0]
E0_Lt_irrefl [lemma, in hydras.Epsilon0.E0]
E0_comp [instance, in hydras.Epsilon0.E0]
E0_pred_Lt [lemma, in hydras.Epsilon0.E0]
E0_pred_of_Succ [lemma, in hydras.Epsilon0.E0]
E0_sto [instance, in hydras.Epsilon0.E0]
E0_pred [definition, in hydras.Epsilon0.E0]
E0_eq_dec [lemma, in hydras.Epsilon0.E0]
E0_eq_iff [lemma, in hydras.Epsilon0.E0]
E0_eq_intro [lemma, in hydras.Epsilon0.E0]
E0_phi0 [instance, in hydras.Epsilon0.E0]
E0_succ [instance, in hydras.Epsilon0.E0]
E0_omega [instance, in hydras.Epsilon0.E0]
E1 [definition, in hydras.Epsilon0.T1]
e1 [definition, in hydras.OrdinalNotations.ON_Omega2]
e1:103 [binder, in additions.fib]
e1:110 [binder, in additions.fib]
e1:179 [binder, in hydras.rpo.list_set]
E2 [definition, in hydras.Epsilon0.T1]
e2 [definition, in hydras.OrdinalNotations.ON_Omega2]
e2:104 [binder, in additions.fib]
e2:111 [binder, in additions.fib]
e2:180 [binder, in hydras.rpo.list_set]
e:10 [binder, in hydras.rpo.list_set]
e:100 [binder, in hydras.rpo.list_set]
e:103 [binder, in hydras.rpo.list_set]
e:106 [binder, in hydras.rpo.list_set]
e:109 [binder, in hydras.rpo.list_set]
e:11 [binder, in hydras.MoreAck.PrimRecExamples]
e:112 [binder, in hydras.rpo.list_set]
e:119 [binder, in additions.fib]
e:121 [binder, in hydras.rpo.list_set]
E:126 [binder, in hydras.Schutte.Ordering_Functions]
e:129 [binder, in hydras.rpo.list_set]
e:132 [binder, in hydras.rpo.list_set]
e:136 [binder, in hydras.rpo.list_set]
e:139 [binder, in hydras.rpo.list_set]
e:143 [binder, in hydras.rpo.list_set]
e:147 [binder, in hydras.rpo.list_set]
e:151 [binder, in hydras.rpo.list_set]
e:154 [binder, in hydras.rpo.list_set]
e:157 [binder, in hydras.rpo.list_set]
e:170 [binder, in hydras.rpo.list_set]
e:199 [binder, in hydras.rpo.list_set]
E:2 [binder, in hydras.Prelude.Restriction]
E:2 [binder, in hydras.solutions_exercises.Limit_Infinity]
e:204 [binder, in hydras.rpo.term]
e:21 [binder, in hydras.rpo.term]
e:22 [binder, in hydras.rpo.list_set]
e:24 [binder, in hydras.rpo.list_set]
e:241 [binder, in hydras.rpo.list_set]
e:245 [binder, in hydras.rpo.list_set]
e:252 [binder, in hydras.rpo.list_set]
e:26 [binder, in hydras.rpo.list_set]
e:28 [binder, in hydras.rpo.list_set]
e:29 [binder, in hydras.rpo.list_permut]
e:30 [binder, in hydras.rpo.list_set]
e:32 [binder, in hydras.rpo.list_set]
e:32 [binder, in hydras.rpo.list_permut]
e:33 [binder, in hydras.rpo.list_permut]
e:35 [binder, in hydras.rpo.list_set]
e:39 [binder, in hydras.rpo.list_set]
e:46 [binder, in hydras.rpo.list_set]
e:54 [binder, in hydras.Prelude.More_Arith]
e:55 [binder, in hydras.rpo.list_permut]
e:57 [binder, in hydras.rpo.list_set]
e:61 [binder, in hydras.rpo.list_set]
e:65 [binder, in hydras.rpo.list_set]
e:69 [binder, in hydras.rpo.list_set]
e:73 [binder, in hydras.rpo.list_set]
e:743 [binder, in hydras.Epsilon0.T1]
e:75 [binder, in hydras.rpo.list_set]
e:754 [binder, in hydras.Epsilon0.T1]
e:78 [binder, in hydras.rpo.list_set]
e:81 [binder, in hydras.rpo.list_set]
e:84 [binder, in hydras.rpo.list_set]
e:85 [binder, in hydras.rpo.list_set]
e:92 [binder, in hydras.MoreAck.PrimRecExamples]
e:97 [binder, in hydras.rpo.list_set]

F

f [definition, in hydras.OrdinalNotations.Example_3PlusOmega]
F [abbreviation, in hydras.Schutte.Schutte_basics]
F [lemma, in gaia_hydras.onType]
f [axiom, in hydras.Prelude.LibHyps_Experiments]
F [definition, in Goedel.goedel2]
fact [definition, in hydras.solutions_exercises.MorePRExamples]
factIsPR [instance, in hydras.solutions_exercises.MorePRExamples]
fact_altIsPR [instance, in hydras.solutions_exercises.MorePRExamples]
fact_alt_ok [lemma, in hydras.solutions_exercises.MorePRExamples]
fact_alt [definition, in hydras.solutions_exercises.MorePRExamples]
fact_correct [lemma, in hydras.MoreAck.PrimRecExamples]
Fake_thm [lemma, in hydras.solutions_exercises.is_F_monotonous]
Fapply [definition, in additions.Euclidean_Chains]
fastexp [definition, in additions.fib]
fastexp2 [definition, in additions.fib]
fastexp3 [definition, in additions.fib]
fastexp3P [lemma, in additions.fib]
fastexp4 [definition, in additions.fib]
FA1 [constructor, in hydras.Ackermann.folProof]
FA2 [constructor, in hydras.Ackermann.folProof]
FA3 [constructor, in hydras.Ackermann.folProof]
fA:181 [binder, in hydras.OrdinalNotations.ON_Generic]
fbij [lemma, in hydras.Schutte.Ordering_Functions]
fB:182 [binder, in hydras.OrdinalNotations.ON_Generic]
Fchain [definition, in additions.Euclidean_Chains]
Fchain_correct [definition, in additions.AM]
Fchain_proper_prf [projection, in additions.Euclidean_Chains]
Fchain_proper [record, in additions.Euclidean_Chains]
Fchain_proper_prf [constructor, in additions.Euclidean_Chains]
Fchain_proper [inductive, in additions.Euclidean_Chains]
Fchain_correct [definition, in additions.Euclidean_Chains]
Fchain_correct_nat [definition, in additions.Euclidean_Chains]
Fcompose [definition, in additions.Euclidean_Chains]
Fcompose_proper [instance, in additions.Euclidean_Chains]
Fcompose_correct [lemma, in additions.Euclidean_Chains]
Fcompose_correct_nat [lemma, in additions.Euclidean_Chains]
fc1:120 [binder, in additions.Euclidean_Chains]
fc1:129 [binder, in additions.Euclidean_Chains]
fc1:133 [binder, in additions.Euclidean_Chains]
fc2:121 [binder, in additions.Euclidean_Chains]
fc2:130 [binder, in additions.Euclidean_Chains]
fc2:134 [binder, in additions.Euclidean_Chains]
fc:108 [binder, in additions.Euclidean_Chains]
fc:34 [binder, in additions.Euclidean_Chains]
fc:79 [binder, in additions.Euclidean_Chains]
fc:86 [binder, in additions.Euclidean_Chains]
Fexp2 [definition, in additions.Euclidean_Chains]
Fexp2_proper [instance, in additions.Euclidean_Chains]
Fexp2_correct [lemma, in additions.Euclidean_Chains]
Fexp2_nat_correct [lemma, in additions.Euclidean_Chains]
Fexp2_nat_proper [instance, in additions.Euclidean_Chains]
Fexp2_of_nat [definition, in additions.Euclidean_Chains]
FF [lemma, in hydras.Epsilon0.F_omega]
FFK [definition, in additions.AM]
FFK [definition, in additions.Euclidean_Chains]
FFK_correct [lemma, in additions.AM]
FFK_proper [instance, in additions.Euclidean_Chains]
FFK_correct [lemma, in additions.Euclidean_Chains]
FFK_correct_nat [lemma, in additions.Euclidean_Chains]
fib [definition, in additions.Fib2]
fib [definition, in hydras.solutions_exercises.FibonacciPR]
fib [definition, in additions.fib]
fib [library]
fibIsPR [instance, in hydras.solutions_exercises.FibonacciPR]
fibm [definition, in additions.fib]
fibmP [lemma, in additions.fib]
fibonacci [definition, in additions.FirstSteps]
fibonacci [definition, in additions.Naive]
FibonacciPR [library]
fibPR [definition, in hydras.solutions_exercises.FibonacciPR]
fibPRIsPR [instance, in hydras.solutions_exercises.FibonacciPR]
fibt [definition, in additions.fib]
fibtP [lemma, in additions.fib]
fibt_aux [lemma, in additions.fib]
fibZ2P [lemma, in additions.fib]
fibZ3P [lemma, in additions.fib]
fib_with_chain [definition, in additions.Fib2]
fib_eucl [definition, in additions.Fib2]
fib_pos [definition, in additions.Fib2]
fib_mul2_OK [lemma, in additions.Fib2]
fib_mul2_OK_0 [lemma, in additions.Fib2]
fib_mul2 [definition, in additions.Fib2]
fib_SSn [lemma, in additions.Fib2]
fib_ind [lemma, in additions.Fib2]
fib_alt_Ok [lemma, in hydras.solutions_exercises.FibonacciPR]
fib_OK0 [lemma, in hydras.solutions_exercises.FibonacciPR]
fib_altIsPR [instance, in hydras.solutions_exercises.FibonacciPR]
fib_alt [definition, in hydras.solutions_exercises.FibonacciPR]
Fib2 [library]
filter001IsPR [instance, in hydras.Ackermann.primRec]
filter0011IsPR [instance, in hydras.Ackermann.primRec]
filter01IsPR [instance, in hydras.Ackermann.primRec]
filter010IsPR [instance, in hydras.Ackermann.primRec]
filter011IsPR [instance, in hydras.Ackermann.primRec]
filter10IsPR [instance, in hydras.Ackermann.primRec]
filter100IsPR [instance, in hydras.Ackermann.primRec]
filter1000IsPR [instance, in hydras.Ackermann.primRec]
filter101IsPR [instance, in hydras.Ackermann.primRec]
filter1011IsPR [instance, in hydras.Ackermann.primRec]
filter110IsPR [instance, in hydras.Ackermann.primRec]
filter1100IsPR [instance, in hydras.Ackermann.primRec]
fin [abbreviation, in hydras.Epsilon0.T1]
fin [definition, in hydras.OrdinalNotations.ON_Omega2]
fin [definition, in hydras.Gamma0.T2]
fin [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Fin [abbreviation, in hydras.Epsilon0.E0]
find [definition, in hydras.rpo.more_list]
find_not_mem [lemma, in hydras.rpo.more_list]
finite [definition, in hydras.Schutte.Schutte_basics]
finite_ltR [lemma, in hydras.Epsilon0.T1]
finite_lt [lemma, in hydras.Epsilon0.T1]
finite_succ [constructor, in hydras.Gamma0.T2]
Finite_ref [lemma, in gaia_hydras.T1Bridge]
finite_not_limit [lemma, in hydras.Schutte.Schutte_basics]
finite_lt_omega [lemma, in hydras.Schutte.Schutte_basics]
finite_inj [lemma, in hydras.Schutte.Schutte_basics]
finite_mono [lemma, in hydras.Schutte.Schutte_basics]
finite_lt_inv [lemma, in hydras.Schutte.Schutte_basics]
finite_is_finite [lemma, in hydras.Gamma0.Gamma0]
finite_plus_infinite [lemma, in hydras.Schutte.Addition]
FinOrd [instance, in hydras.OrdinalNotations.ON_Finite]
finord_ON [instance, in gaia_hydras.ON_gfinite]
finord_lt_wf [lemma, in gaia_hydras.ON_gfinite]
finord_comp [instance, in gaia_hydras.ON_gfinite]
finord_sto [instance, in gaia_hydras.ON_gfinite]
finord_compare_correct [lemma, in gaia_hydras.ON_gfinite]
finord_compare [instance, in gaia_hydras.ON_gfinite]
finord_lt [definition, in gaia_hydras.ON_gfinite]
FinOrd_Omega [instance, in hydras.OrdinalNotations.ON_Omega]
FinS_Succ_eq [lemma, in hydras.Epsilon0.E0]
FinS_eq [lemma, in hydras.Epsilon0.E0]
fin_lt_omega [lemma, in hydras.Gamma0.Gamma0]
fin:90 [binder, in additions.Addition_Chains]
FirstIncompletenessA [lemma, in Goedel.goedel1]
FirstIncompletenessA [lemma, in Goedel.goedel2]
FirstIncompletenessB [lemma, in Goedel.goedel1]
FirstSteps [library]
first_toggle [definition, in hydras.Prelude.First_toggle]
First_Order_Logic.Formula_Depth_Induction [section, in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability.consTermsHelp [variable, in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability.nilTermsHelp [variable, in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability.language_eqdec [variable, in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability [section, in hydras.Ackermann.fol]
First_Order_Logic.L [variable, in hydras.Ackermann.fol]
First_Order_Logic [section, in hydras.Ackermann.fol]
First_toggle [library]
Fix [section, in hydras.Prelude.Restriction]
fixPoint [library]
FixpointDef [module, in gaia_hydras.GHessenberg]
FixpointDef.oplus [definition, in gaia_hydras.GHessenberg]
FixPointLNN [lemma, in Goedel.fixPoint]
FixPointLNT [lemma, in Goedel.fixPoint]
FixR [definition, in hydras.Prelude.Restriction]
FixR_F_eq [lemma, in hydras.Prelude.Restriction]
FixR_F [definition, in hydras.Prelude.Restriction]
Fix.A [variable, in hydras.Prelude.Restriction]
Fix.E [variable, in hydras.Prelude.Restriction]
Fix.F [variable, in hydras.Prelude.Restriction]
Fix.Hwf [variable, in hydras.Prelude.Restriction]
Fix.P [variable, in hydras.Prelude.Restriction]
Fix.R [variable, in hydras.Prelude.Restriction]
Fix.Rwf [variable, in hydras.Prelude.Restriction]
FK [definition, in additions.AM]
FK [definition, in additions.Euclidean_Chains]
Fkont [definition, in additions.Euclidean_Chains]
Fkont_equiv [definition, in additions.Euclidean_Chains]
Fkont_proper_prf [projection, in additions.Euclidean_Chains]
Fkont_proper [record, in additions.Euclidean_Chains]
Fkont_proper_prf [constructor, in additions.Euclidean_Chains]
Fkont_proper [inductive, in additions.Euclidean_Chains]
FK_correct [lemma, in additions.AM]
FK_proper [instance, in additions.Euclidean_Chains]
FK_correct [lemma, in additions.Euclidean_Chains]
flatten [definition, in additions.Addition_Chains]
flatten [lemma, in hydras.Epsilon0.Paths]
flatten_valid_2 [lemma, in additions.Addition_Chains]
flatten_valid [lemma, in additions.Addition_Chains]
flatten_aux_valid [lemma, in additions.Addition_Chains]
flatten_aux [definition, in additions.Addition_Chains]
fn1:47 [binder, in additions.fib]
fn2:48 [binder, in additions.fib]
fn3:49 [binder, in additions.fib]
fn:33 [binder, in additions.AM]
fn:446 [binder, in hydras.Ackermann.primRec]
fn:459 [binder, in hydras.Ackermann.primRec]
fn:480 [binder, in hydras.Ackermann.primRec]
FO [constructor, in hydras.Prelude.Fuel]
fol [library]
fold_left2 [definition, in hydras.rpo.more_list]
FolExamples [library]
folLogic [library]
folLogic2 [library]
folLogic3 [library]
FolNotations [module, in hydras.Ackermann.fol]
FolNotations.exH' [abbreviation, in hydras.Ackermann.fol]
_ <->' _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ <->'' _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ /\' _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ \/' _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ <> _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ = _ (fol_scope) [notation, in hydras.Ackermann.fol]
allH _ .. _ , _ (fol_scope) [notation, in hydras.Ackermann.fol]
exH _ .. _ , _ (fol_scope) [notation, in hydras.Ackermann.fol]
v# _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ <-> _ (fol_scope) [notation, in hydras.Ackermann.fol]
~ _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ -> _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ /\ _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ \/ _ (fol_scope) [notation, in hydras.Ackermann.fol]
_ = _ (fol_scope) [notation, in hydras.Ackermann.fol]
folProof [library]
folProp [library]
folReplace [library]
Fol_Properties.Substitution.Substitution_Properties [section, in hydras.Ackermann.folProp]
Fol_Properties.Substitution.Extensions [section, in hydras.Ackermann.folProp]
Fol_Properties.Substitution [section, in hydras.Ackermann.folProp]
Fol_Properties.Free_Variables [section, in hydras.Ackermann.folProp]
Fol_Properties.lt_depth [variable, in hydras.Ackermann.folProp]
Fol_Properties.L [variable, in hydras.Ackermann.folProp]
Fol_Properties [section, in hydras.Ackermann.folProp]
foo [definition, in hydras.Prelude.Fuel]
foo:167 [binder, in hydras.Schutte.Ordering_Functions]
foo:42 [binder, in hydras.Ackermann.fol]
foo:45 [binder, in hydras.Ackermann.fol]
forallE [lemma, in hydras.Ackermann.LNN]
forallE [lemma, in hydras.Ackermann.LNT]
forallE [lemma, in hydras.Ackermann.folLogic]
forallH [constructor, in hydras.Ackermann.fol]
forallI [lemma, in hydras.Ackermann.LNN]
forallI [lemma, in hydras.Ackermann.LNT]
forallI [lemma, in hydras.Ackermann.folLogic]
forallSimp [lemma, in hydras.Ackermann.LNN]
forallSimp [lemma, in hydras.Ackermann.LNT]
forallSimp [lemma, in hydras.Ackermann.folLogic]
forall_weak [lemma, in hydras.Prelude.Sort_spec]
Forall_forall [lemma, in hydras.Prelude.MoreVectors]
Forall_and [lemma, in hydras.Prelude.MoreVectors]
Forall_inv [lemma, in hydras.Prelude.MoreVectors]
Forall2R [inductive, in hydras.Prelude.MoreLists]
Forall2R_iff [lemma, in hydras.Prelude.MoreLists]
Forall2R_cons [lemma, in hydras.Prelude.MoreLists]
Forall2R_last [constructor, in hydras.Prelude.MoreLists]
Forall2R_nil [constructor, in hydras.Prelude.MoreLists]
Forall2_indR [lemma, in hydras.Prelude.MoreLists]
Forall2_RR [lemma, in hydras.Prelude.MoreLists]
Forall2_R [lemma, in hydras.Prelude.MoreLists]
Forall2_right_induction [section, in hydras.Prelude.MoreLists]
Forall2_inv [lemma, in hydras.Prelude.MoreVectors]
Formula [abbreviation, in hydras.Ackermann.subAll]
Formula [definition, in hydras.Ackermann.LNN]
Formula [definition, in hydras.Ackermann.LNT]
Formula [abbreviation, in hydras.Ackermann.folProp]
Formula [abbreviation, in hydras.Ackermann.codeSubFormula]
Formula [inductive, in hydras.Ackermann.fol]
Formula [abbreviation, in hydras.Ackermann.folLogic3]
Formulas [abbreviation, in hydras.Ackermann.subAll]
Formulas [definition, in hydras.Ackermann.LNN]
Formulas [definition, in hydras.Ackermann.LNT]
Formulas [abbreviation, in hydras.Ackermann.folProp]
Formulas [abbreviation, in hydras.Ackermann.codeSubFormula]
Formulas [definition, in hydras.Ackermann.fol]
Formulas [abbreviation, in hydras.Ackermann.folLogic3]
FormulasToFormula [definition, in Goedel.PRrepresentable]
FormulasToFuncs [definition, in Goedel.PRrepresentable]
Formula_depth_ind2 [lemma, in hydras.Ackermann.fol]
Formula_depth_ind [definition, in hydras.Ackermann.fol]
Formula_depth_rec2_forall [lemma, in hydras.Ackermann.fol]
Formula_depth_rec2_not [lemma, in hydras.Ackermann.fol]
Formula_depth_rec2_imp [lemma, in hydras.Ackermann.fol]
Formula_depth_rec2rec_nice [lemma, in hydras.Ackermann.fol]
Formula_depth_rec2 [definition, in hydras.Ackermann.fol]
Formula_depth_rec2rec [definition, in hydras.Ackermann.fol]
Formula_depth_rec_indep [lemma, in hydras.Ackermann.fol]
Formula_depth_rec [definition, in hydras.Ackermann.fol]
Formula_depth_rec_rec [definition, in hydras.Ackermann.fol]
formula_eqdec [lemma, in hydras.Ackermann.fol]
fp:233 [binder, in additions.Euclidean_Chains]
fp:302 [binder, in additions.Euclidean_Chains]
fp:318 [binder, in additions.Euclidean_Chains]
fp:320 [binder, in additions.Euclidean_Chains]
Fp:323 [binder, in additions.Euclidean_Chains]
Fp:328 [binder, in additions.Euclidean_Chains]
fq:223 [binder, in additions.Euclidean_Chains]
fq:232 [binder, in additions.Euclidean_Chains]
fq:234 [binder, in additions.Euclidean_Chains]
fq:294 [binder, in additions.Euclidean_Chains]
fq:299 [binder, in additions.Euclidean_Chains]
fq:303 [binder, in additions.Euclidean_Chains]
fq:319 [binder, in additions.Euclidean_Chains]
fq:321 [binder, in additions.Euclidean_Chains]
frec:113 [binder, in hydras.Ackermann.folProp]
frec:74 [binder, in hydras.Ackermann.codeSubFormula]
frec:76 [binder, in hydras.Ackermann.folProp]
frec:98 [binder, in hydras.Ackermann.folProp]
free [instance, in hydras.Hydra.Hydra_Definitions]
freeVarAddExists1 [lemma, in Goedel.PRrepresentable]
freeVarAddExists2 [lemma, in Goedel.PRrepresentable]
freeVarAddForalls1 [lemma, in Goedel.PRrepresentable]
freeVarAddForalls2 [lemma, in Goedel.PRrepresentable]
freeVarClosed [lemma, in hydras.Ackermann.folProp]
freeVarClosedList1 [lemma, in hydras.Ackermann.folProp]
freeVarClosedList2 [lemma, in hydras.Ackermann.folProp]
freeVarCodeSysPf [lemma, in Goedel.codeSysPrf]
freeVarCodeSysPrf [lemma, in Goedel.codeSysPrf]
freeVarCodeSysPrfN [definition, in Goedel.rosserPA]
freeVarCodeSysPrfN [lemma, in Goedel.codeSysPrf]
freeVarCodeSysPrfN [definition, in Goedel.rosser]
freeVarF [definition, in hydras.Ackermann.folProp]
freeVarFormula [abbreviation, in hydras.Ackermann.folProp]
freeVarG [lemma, in Goedel.goedel1]
freeVarInterpFormula [lemma, in hydras.Ackermann.model]
freeVarInterpRel [lemma, in hydras.Ackermann.model]
freeVarInterpTerm [lemma, in hydras.Ackermann.model]
freeVarListFormula [definition, in hydras.Ackermann.folProp]
freeVarListFormulaApp [lemma, in hydras.Ackermann.folProp]
freeVarLT [lemma, in hydras.Ackermann.LNN]
freeVarMap [definition, in hydras.Ackermann.subAll]
freeVarMap_ext [lemma, in hydras.Ackermann.subAll]
freeVarMap1 [lemma, in hydras.Ackermann.subAll]
freeVarNNHelp [lemma, in hydras.Ackermann.model]
freeVarPlus [lemma, in hydras.Ackermann.LNN]
freeVarPlus [lemma, in hydras.Ackermann.LNT]
freeVarPrimRecPiFormulaHelp1 [lemma, in Goedel.PRrepresentable]
freeVarPrimRecSigmaFormulaHelp1 [lemma, in Goedel.PRrepresentable]
freeVarRepT' [lemma, in Goedel.rosserPA]
freeVarRepT' [definition, in Goedel.goedel2]
freeVarSubAllFormula1 [lemma, in hydras.Ackermann.subAll]
freeVarSubAllFormula2 [lemma, in hydras.Ackermann.subAll]
freeVarSubAllTerms1 [lemma, in hydras.Ackermann.subAll]
freeVarSubAllTerms2 [lemma, in hydras.Ackermann.subAll]
freeVarSubAllTerm1 [lemma, in hydras.Ackermann.subAll]
freeVarSubAllTerm2 [lemma, in hydras.Ackermann.subAll]
freeVarSubFormula1 [lemma, in hydras.Ackermann.subProp]
freeVarSubFormula2 [lemma, in hydras.Ackermann.subProp]
freeVarSubFormula3 [lemma, in hydras.Ackermann.subProp]
freeVarSubFormula4 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerms1 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerms2 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerms3 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerms4 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerm1 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerm2 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerm3 [lemma, in hydras.Ackermann.subProp]
freeVarSubTerm4 [lemma, in hydras.Ackermann.subProp]
freeVarSucc [lemma, in hydras.Ackermann.LNN]
freeVarSucc [lemma, in hydras.Ackermann.LNT]
freeVarT [definition, in hydras.Ackermann.folProp]
freeVarTApply [lemma, in hydras.Ackermann.folProp]
freeVarTerm [abbreviation, in hydras.Ackermann.folProp]
freeVarTerms [abbreviation, in hydras.Ackermann.folProp]
freeVarTimes [lemma, in hydras.Ackermann.LNN]
freeVarTimes [lemma, in hydras.Ackermann.LNT]
freeVarTs [definition, in hydras.Ackermann.folProp]
freeVarZero [lemma, in hydras.Ackermann.LNN]
freeVarZero [lemma, in hydras.Ackermann.LNT]
Free_Variables [section, in hydras.Ackermann.LNN]
Free_Variables [section, in hydras.Ackermann.LNT]
from:16 [binder, in gaia_hydras.GPaths]
from:34 [binder, in gaia_hydras.GPaths]
from:44 [binder, in gaia_hydras.GPaths]
from:47 [binder, in gaia_hydras.GPaths]
from:64 [binder, in hydras.Prelude.MoreVectors]
from:70 [binder, in hydras.Prelude.Sort_spec]
FS [abbreviation, in hydras.Epsilon0.T1]
FS [abbreviation, in hydras.Gamma0.T2]
FS [constructor, in hydras.Prelude.Fuel]
fstar_S [lemma, in hydras.Epsilon0.F_alpha]
Fstar_S [lemma, in hydras.Epsilon0.F_alpha]
FS_rw [lemma, in hydras.Epsilon0.T1]
fs:19 [binder, in hydras.MoreAck.AckNotPR]
fs:448 [binder, in Goedel.PRrepresentable]
fs:459 [binder, in Goedel.PRrepresentable]
fs:467 [binder, in Goedel.PRrepresentable]
fs:77 [binder, in hydras.Ackermann.primRec]
fuel [inductive, in hydras.Prelude.Fuel]
Fuel [library]
fuel:747 [binder, in hydras.Epsilon0.T1]
fuel:87 [binder, in hydras.Epsilon0.Canon]
fuel:94 [binder, in hydras.Epsilon0.Canon]
func [projection, in hydras.Ackermann.model]
Functions [projection, in hydras.Ackermann.fol]
fun_le_trans [lemma, in hydras.Prelude.Iterates]
fun_le [definition, in hydras.Prelude.Iterates]
fun_le [definition, in gaia_hydras.T1Bridge]
fun_bijection_is_ZL_bijection [lemma, in hydras.Schutte.PartialFun]
fun_bijection_codomain [lemma, in hydras.Schutte.PartialFun]
fun_restr [definition, in hydras.Schutte.PartialFun]
fun_bij_i [constructor, in hydras.Schutte.PartialFun]
fun_bijection [inductive, in hydras.Schutte.PartialFun]
fun_inj_i [constructor, in hydras.Schutte.PartialFun]
fun_injection [inductive, in hydras.Schutte.PartialFun]
fun_inj [definition, in hydras.Schutte.PartialFun]
fun_onto [definition, in hydras.Schutte.PartialFun]
fun_codomain [definition, in hydras.Schutte.PartialFun]
fun_equiv [definition, in hydras.Schutte.Ordering_Functions]
fun2PR [definition, in hydras.Ackermann.primRec]
fusion [definition, in additions.Trace_exercise]
F_alpha_not_PR [lemma, in gaia_hydras.GF_alpha]
F_alpha_not_PR_E0 [lemma, in gaia_hydras.GF_alpha]
F_restricted_mono_l [lemma, in gaia_hydras.GF_alpha]
F_limE [lemma, in gaia_hydras.GF_alpha]
F_succE [lemma, in gaia_hydras.GF_alpha]
F_alpha_0_eq [lemma, in gaia_hydras.GF_alpha]
F_mono_l [lemma, in gaia_hydras.GF_alpha]
F_zeroE [lemma, in gaia_hydras.GF_alpha]
F_alpha_positive [lemma, in gaia_hydras.GF_alpha]
F_alpha_Succ_le [lemma, in gaia_hydras.GF_alpha]
F_alpha_dom [lemma, in gaia_hydras.GF_alpha]
F_alpha_mono [lemma, in gaia_hydras.GF_alpha]
F_alpha_gt [lemma, in gaia_hydras.GF_alpha]
F_ [definition, in gaia_hydras.GF_alpha]
f_succ_eqn [lemma, in hydras.Epsilon0.F_alpha]
f_lim_eqn [lemma, in hydras.Epsilon0.F_alpha]
f_zero_eqn [lemma, in hydras.Epsilon0.F_alpha]
f_star_iterate [lemma, in hydras.Epsilon0.F_alpha]
f_star_Succ [lemma, in hydras.Epsilon0.F_alpha]
f_eq2 [lemma, in hydras.Epsilon0.F_alpha]
f_star_zero_eqn [lemma, in hydras.Epsilon0.F_alpha]
f_ [definition, in hydras.Epsilon0.F_alpha]
f_star [definition, in hydras.Epsilon0.F_alpha]
F_mono_l [lemma, in hydras.Epsilon0.F_alpha]
F_mono_l_0 [lemma, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt.Hd [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt.Hlt [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt.n [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt [section, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_eq.Heq [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.case_eq [section, in hydras.Epsilon0.F_alpha]
F_monotony_l.H'_beta_alpha [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.beta [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l.alpha [variable, in hydras.Epsilon0.F_alpha]
F_monotony_l [section, in hydras.Epsilon0.F_alpha]
F_alpha_ge_S [abbreviation, in hydras.Epsilon0.F_alpha]
F_restricted_mono_l [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_dom [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_Succ_le [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_positive [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_gt [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_mono [lemma, in hydras.Epsilon0.F_alpha]
F_One_Zero_ge [lemma, in hydras.Epsilon0.F_alpha]
F_One_Zero_dom [lemma, in hydras.Epsilon0.F_alpha]
F_alpha_0_eq [lemma, in hydras.Epsilon0.F_alpha]
F_succ_eqn [lemma, in hydras.Epsilon0.F_alpha]
F_lim_eqn [lemma, in hydras.Epsilon0.F_alpha]
F_zero_eqn [lemma, in hydras.Epsilon0.F_alpha]
F_star_iterate [lemma, in hydras.Epsilon0.F_alpha]
F_star_Succ [lemma, in hydras.Epsilon0.F_alpha]
F_eq2 [lemma, in hydras.Epsilon0.F_alpha]
F_star_zero_eqn [lemma, in hydras.Epsilon0.F_alpha]
F_ [definition, in hydras.Epsilon0.F_alpha]
F_star [definition, in hydras.Epsilon0.F_alpha]
f_ok_inv [lemma, in hydras.Epsilon0.Large_Sets]
F_alpha_notPR_inv [lemma, in hydras.Epsilon0.F_omega]
F_alpha_PR_inv [lemma, in hydras.Epsilon0.F_omega]
F_n_PR [instance, in hydras.Epsilon0.F_omega]
F_0_isPR [instance, in hydras.Epsilon0.F_omega]
F_alpha_not_PR [lemma, in hydras.Epsilon0.F_omega]
F_alpha_notPR.H [variable, in hydras.Epsilon0.F_omega]
F_alpha_notPR.case_lt.Halpha [variable, in hydras.Epsilon0.F_omega]
F_alpha_notPR.case_lt [section, in hydras.Epsilon0.F_omega]
F_alpha_notPR.alpha [variable, in hydras.Epsilon0.F_omega]
F_alpha_notPR [section, in hydras.Epsilon0.F_omega]
F_omega_not_PR [lemma, in hydras.Epsilon0.F_omega]
F_omega_PR:13 [binder, in hydras.Epsilon0.F_omega]
F_omega_notPR [section, in hydras.Epsilon0.F_omega]
F_vs_Ack [lemma, in hydras.Epsilon0.F_omega]
F_iterate_rw [lemma, in hydras.Epsilon0.F_omega]
f_Sv:55 [binder, in hydras.Ackermann.PA]
f_0:54 [binder, in hydras.Ackermann.PA]
f_Sv:4 [binder, in hydras.Ackermann.PA]
f_0:3 [binder, in hydras.Ackermann.PA]
F_incl_ij [instance, in hydras.OrdinalNotations.ON_Finite]
F_alpha_Sn [lemma, in hydras.solutions_exercises.F_3]
F_3_eqn [lemma, in hydras.solutions_exercises.F_3]
f_minoration [lemma, in hydras.Epsilon0.Hprime]
f_sup_commutes [lemma, in hydras.Schutte.Ordering_Functions]
F_not_lim [lemma, in hydras.Gamma0.Gamma0]
f_l:286 [binder, in hydras.rpo.rpo]
f_l:283 [binder, in hydras.rpo.rpo]
f_l:274 [binder, in hydras.rpo.rpo]
F_3 [library]
F_alpha [library]
F_omega [library]
f':19 [binder, in gaia_hydras.T1Bridge]
f':22 [binder, in gaia_hydras.T1Bridge]
f':33 [binder, in gaia_hydras.T1Bridge]
f':351 [binder, in hydras.Ackermann.primRec]
f':36 [binder, in gaia_hydras.T1Bridge]
f0 [definition, in hydras.MoreAck.LNN_Examples]
F0 [lemma, in hydras.Epsilon0.Hprime]
f0:1239 [binder, in hydras.Ackermann.codeSubFormula]
f0:1242 [binder, in hydras.Ackermann.codeSubFormula]
f0:1296 [binder, in hydras.Ackermann.codeSubFormula]
f0:1299 [binder, in hydras.Ackermann.codeSubFormula]
f0:13 [binder, in hydras.Ackermann.PA]
f0:148 [binder, in hydras.Ackermann.codePA]
f0:151 [binder, in hydras.Ackermann.codePA]
f0:158 [binder, in hydras.Ackermann.codePA]
f0:160 [binder, in hydras.Ackermann.codePA]
f0:208 [binder, in hydras.Ackermann.fol]
f0:231 [binder, in hydras.Ackermann.fol]
f0:249 [binder, in hydras.Ackermann.fol]
f0:299 [binder, in hydras.Ackermann.fol]
f0:345 [binder, in hydras.Ackermann.fol]
f0:389 [binder, in hydras.Ackermann.fol]
f0:41 [binder, in hydras.Ackermann.Languages]
f0:42 [binder, in hydras.Ackermann.Languages]
f0:43 [binder, in hydras.Ackermann.Languages]
f0:44 [binder, in hydras.Ackermann.Languages]
f0:441 [binder, in hydras.Ackermann.fol]
f0:45 [binder, in hydras.Ackermann.Languages]
f0:46 [binder, in hydras.Ackermann.Languages]
f0:62 [binder, in hydras.Ackermann.folLogic3]
F1 [definition, in additions.AM]
F1 [lemma, in hydras.solutions_exercises.MultisetWf]
F1 [definition, in additions.Euclidean_Chains]
F1 [lemma, in hydras.Epsilon0.Hprime]
f1 [definition, in hydras.MoreAck.FolExamples]
F1 [lemma, in hydras.Hydra.KP_example]
f1rec:67 [binder, in hydras.Ackermann.codeSubFormula]
F1_correct [lemma, in additions.AM]
F1_proper [instance, in additions.Euclidean_Chains]
F1_correct [lemma, in additions.Euclidean_Chains]
F1_neutral_r [lemma, in additions.Euclidean_Chains]
F1_neutral_l [lemma, in additions.Euclidean_Chains]
F1_simpl [lemma, in hydras.Epsilon0.Hprime]
F144 [definition, in additions.Euclidean_Chains]
F197887 [definition, in additions.AM]
f1:109 [binder, in hydras.Ackermann.primRec]
f1:110 [binder, in hydras.Ackermann.folReplace]
f1:112 [binder, in hydras.Ackermann.primRec]
f1:12 [binder, in hydras.Ackermann.folReplace]
f1:140 [binder, in additions.Euclidean_Chains]
f1:144 [binder, in hydras.Ackermann.codeSubFormula]
f1:152 [binder, in hydras.Ackermann.folProp]
f1:17 [binder, in hydras.Ackermann.folReplace]
f1:19 [binder, in additions.Euclidean_Chains]
f1:2 [binder, in hydras.rpo.term]
f1:2 [binder, in hydras.Ackermann.folReplace]
f1:20 [binder, in hydras.Ackermann.folReplace]
f1:200 [binder, in hydras.Ackermann.codeSubFormula]
f1:203 [binder, in hydras.Ackermann.fol]
f1:208 [binder, in hydras.Ackermann.codeSubFormula]
f1:226 [binder, in hydras.Ackermann.fol]
f1:23 [binder, in hydras.Ackermann.folReplace]
f1:232 [binder, in hydras.rpo.term]
f1:244 [binder, in hydras.Ackermann.fol]
f1:244 [binder, in hydras.Gamma0.Gamma0]
f1:246 [binder, in hydras.rpo.term]
f1:26 [binder, in hydras.Ackermann.folReplace]
f1:294 [binder, in hydras.Ackermann.fol]
f1:3 [binder, in hydras.Epsilon0.Epsilon0rpo]
f1:30 [binder, in hydras.Ackermann.folReplace]
f1:34 [binder, in hydras.Ackermann.folReplace]
f1:340 [binder, in hydras.Ackermann.fol]
f1:354 [binder, in hydras.Ackermann.primRec]
f1:368 [binder, in hydras.Ackermann.primRec]
f1:37 [binder, in hydras.Ackermann.subAll]
f1:374 [binder, in hydras.Ackermann.primRec]
f1:384 [binder, in hydras.Ackermann.fol]
f1:386 [binder, in hydras.Ackermann.primRec]
f1:39 [binder, in hydras.Ackermann.folReplace]
f1:392 [binder, in hydras.Ackermann.folProp]
f1:392 [binder, in hydras.Ackermann.primRec]
f1:396 [binder, in hydras.Ackermann.folProp]
f1:399 [binder, in hydras.Ackermann.primRec]
f1:405 [binder, in hydras.Ackermann.folProp]
f1:406 [binder, in hydras.Ackermann.primRec]
f1:409 [binder, in hydras.Ackermann.folProp]
f1:44 [binder, in hydras.Ackermann.folReplace]
f1:49 [binder, in hydras.Ackermann.folReplace]
f1:54 [binder, in hydras.Ackermann.folReplace]
f1:55 [binder, in hydras.rpo.term]
f1:59 [binder, in hydras.Ackermann.folReplace]
f1:64 [binder, in hydras.Ackermann.folReplace]
f1:66 [binder, in hydras.Ackermann.codeSubFormula]
f1:68 [binder, in hydras.Ackermann.folReplace]
f1:7 [binder, in hydras.Ackermann.folReplace]
f1:70 [binder, in hydras.rpo.term]
f1:72 [binder, in hydras.Ackermann.folReplace]
f1:77 [binder, in hydras.Ackermann.folReplace]
f1:80 [binder, in additions.Euclidean_Chains]
f1:82 [binder, in hydras.Ackermann.folReplace]
f1:87 [binder, in hydras.Ackermann.folReplace]
f1:97 [binder, in additions.Euclidean_Chains]
F2 [lemma, in hydras.Epsilon0.F_alpha]
F2 [lemma, in hydras.solutions_exercises.MultisetWf]
F2 [definition, in additions.Euclidean_Chains]
F2 [lemma, in hydras.Epsilon0.Hprime]
f2 [definition, in hydras.MoreAck.FolExamples]
F2 [lemma, in hydras.Hydra.KP_example]
F2C [definition, in additions.Euclidean_Chains]
F2C_correct [lemma, in additions.Euclidean_Chains]
F2q [definition, in additions.AM]
F2q_correct [lemma, in additions.AM]
F2q_correct_1 [lemma, in additions.AM]
F2q_correct_0 [lemma, in additions.AM]
F2q_of_nat [definition, in additions.AM]
f2rec:69 [binder, in hydras.Ackermann.codeSubFormula]
F2_proper [instance, in additions.Euclidean_Chains]
F2_correct [lemma, in additions.Euclidean_Chains]
f2:102 [binder, in hydras.Ackermann.codeSubFormula]
f2:110 [binder, in hydras.Ackermann.primRec]
f2:111 [binder, in hydras.Ackermann.folReplace]
f2:113 [binder, in hydras.Ackermann.primRec]
f2:13 [binder, in hydras.Ackermann.folReplace]
f2:1370 [binder, in hydras.Ackermann.codeSubFormula]
f2:1373 [binder, in hydras.Ackermann.codeSubFormula]
f2:141 [binder, in additions.Euclidean_Chains]
f2:145 [binder, in hydras.Ackermann.codeSubFormula]
f2:153 [binder, in hydras.Ackermann.folProp]
f2:18 [binder, in hydras.Ackermann.folReplace]
f2:20 [binder, in additions.Euclidean_Chains]
f2:201 [binder, in hydras.Ackermann.codeSubFormula]
f2:206 [binder, in hydras.Ackermann.fol]
f2:209 [binder, in hydras.Ackermann.codeSubFormula]
f2:21 [binder, in hydras.Ackermann.folReplace]
f2:229 [binder, in hydras.Ackermann.fol]
f2:233 [binder, in hydras.rpo.term]
f2:24 [binder, in hydras.Ackermann.folReplace]
f2:245 [binder, in hydras.Gamma0.Gamma0]
f2:247 [binder, in hydras.rpo.term]
f2:247 [binder, in hydras.Ackermann.fol]
f2:27 [binder, in hydras.Ackermann.folReplace]
f2:297 [binder, in hydras.Ackermann.fol]
f2:3 [binder, in hydras.rpo.term]
f2:3 [binder, in hydras.Ackermann.folReplace]
f2:31 [binder, in hydras.Ackermann.folReplace]
f2:343 [binder, in hydras.Ackermann.fol]
f2:35 [binder, in hydras.Ackermann.folReplace]
f2:355 [binder, in hydras.Ackermann.primRec]
f2:369 [binder, in hydras.Ackermann.primRec]
f2:375 [binder, in hydras.Ackermann.primRec]
f2:38 [binder, in hydras.Ackermann.subAll]
f2:387 [binder, in hydras.Ackermann.primRec]
f2:387 [binder, in hydras.Ackermann.fol]
f2:393 [binder, in hydras.Ackermann.folProp]
f2:393 [binder, in hydras.Ackermann.primRec]
f2:397 [binder, in hydras.Ackermann.folProp]
f2:4 [binder, in hydras.Epsilon0.Epsilon0rpo]
f2:40 [binder, in hydras.Ackermann.folReplace]
f2:400 [binder, in hydras.Ackermann.primRec]
f2:406 [binder, in hydras.Ackermann.folProp]
f2:407 [binder, in hydras.Ackermann.primRec]
f2:410 [binder, in hydras.Ackermann.folProp]
f2:45 [binder, in hydras.Ackermann.folReplace]
f2:50 [binder, in hydras.Ackermann.folReplace]
f2:55 [binder, in hydras.Ackermann.folReplace]
f2:56 [binder, in hydras.rpo.term]
f2:60 [binder, in hydras.Ackermann.folReplace]
f2:65 [binder, in hydras.Ackermann.folReplace]
f2:68 [binder, in hydras.Ackermann.codeSubFormula]
f2:69 [binder, in hydras.Ackermann.folReplace]
f2:71 [binder, in hydras.rpo.term]
f2:73 [binder, in hydras.Ackermann.folReplace]
f2:78 [binder, in hydras.Ackermann.folReplace]
f2:8 [binder, in hydras.Ackermann.folReplace]
f2:81 [binder, in additions.Euclidean_Chains]
f2:83 [binder, in hydras.Ackermann.folReplace]
f2:88 [binder, in hydras.Ackermann.folReplace]
f2:93 [binder, in hydras.Ackermann.codeSubFormula]
f2:98 [binder, in additions.Euclidean_Chains]
F3 [definition, in additions.AM]
F3 [definition, in additions.Euclidean_Chains]
F3 [lemma, in hydras.Epsilon0.Hprime]
f3 [definition, in hydras.MoreAck.FolExamples]
F3_correct [lemma, in additions.AM]
F3_proper [instance, in additions.Euclidean_Chains]
F3_correct [lemma, in additions.Euclidean_Chains]
f3:14 [binder, in hydras.Ackermann.folReplace]
f3:146 [binder, in hydras.Ackermann.codeSubFormula]
f3:202 [binder, in hydras.Ackermann.codeSubFormula]
f3:209 [binder, in hydras.Ackermann.fol]
f3:210 [binder, in hydras.Ackermann.codeSubFormula]
f3:232 [binder, in hydras.Ackermann.fol]
f3:250 [binder, in hydras.Ackermann.fol]
f3:300 [binder, in hydras.Ackermann.fol]
f3:346 [binder, in hydras.Ackermann.fol]
f3:356 [binder, in hydras.Ackermann.primRec]
f3:36 [binder, in hydras.Ackermann.folReplace]
f3:370 [binder, in hydras.Ackermann.primRec]
f3:376 [binder, in hydras.Ackermann.primRec]
f3:390 [binder, in hydras.Ackermann.fol]
f3:394 [binder, in hydras.Ackermann.primRec]
f3:4 [binder, in hydras.Ackermann.folReplace]
f3:408 [binder, in hydras.Ackermann.primRec]
f3:41 [binder, in hydras.Ackermann.folReplace]
f3:411 [binder, in hydras.Ackermann.folProp]
f3:46 [binder, in hydras.Ackermann.folReplace]
f3:51 [binder, in hydras.Ackermann.folReplace]
f3:56 [binder, in hydras.Ackermann.folReplace]
f3:61 [binder, in hydras.Ackermann.folReplace]
f3:74 [binder, in hydras.Ackermann.folReplace]
f3:79 [binder, in hydras.Ackermann.folReplace]
f3:84 [binder, in hydras.Ackermann.folReplace]
f3:89 [binder, in hydras.Ackermann.folReplace]
f3:9 [binder, in hydras.Ackermann.folReplace]
f4:10 [binder, in hydras.Ackermann.folReplace]
f4:147 [binder, in hydras.Ackermann.codeSubFormula]
f4:15 [binder, in hydras.Ackermann.folReplace]
f4:203 [binder, in hydras.Ackermann.codeSubFormula]
f4:211 [binder, in hydras.Ackermann.codeSubFormula]
f4:211 [binder, in hydras.Ackermann.fol]
f4:234 [binder, in hydras.Ackermann.fol]
f4:261 [binder, in hydras.Ackermann.fol]
f4:311 [binder, in hydras.Ackermann.fol]
f4:357 [binder, in hydras.Ackermann.fol]
f4:37 [binder, in hydras.Ackermann.folReplace]
f4:377 [binder, in hydras.Ackermann.primRec]
f4:401 [binder, in hydras.Ackermann.fol]
f4:42 [binder, in hydras.Ackermann.folReplace]
f4:47 [binder, in hydras.Ackermann.folReplace]
f4:5 [binder, in hydras.Ackermann.folReplace]
f4:52 [binder, in hydras.Ackermann.folReplace]
f4:57 [binder, in hydras.Ackermann.folReplace]
f4:62 [binder, in hydras.Ackermann.folReplace]
f4:75 [binder, in hydras.Ackermann.folReplace]
f4:80 [binder, in hydras.Ackermann.folReplace]
f4:85 [binder, in hydras.Ackermann.folReplace]
f4:90 [binder, in hydras.Ackermann.folReplace]
F5 [lemma, in hydras.Epsilon0.F_alpha]
f5:148 [binder, in hydras.Ackermann.codeSubFormula]
f5:204 [binder, in hydras.Ackermann.codeSubFormula]
f5:212 [binder, in hydras.Ackermann.codeSubFormula]
f5:215 [binder, in hydras.Ackermann.fol]
f5:238 [binder, in hydras.Ackermann.fol]
f5:270 [binder, in hydras.Ackermann.fol]
f5:320 [binder, in hydras.Ackermann.fol]
f5:366 [binder, in hydras.Ackermann.fol]
f5:410 [binder, in hydras.Ackermann.fol]
f5:91 [binder, in hydras.Ackermann.folReplace]
F6 [lemma, in hydras.Epsilon0.F_alpha]
f6:92 [binder, in hydras.Ackermann.folReplace]
F7 [lemma, in hydras.Epsilon0.F_alpha]
F8 [lemma, in hydras.Epsilon0.F_alpha]
F87 [definition, in additions.Euclidean_Chains]
F9 [lemma, in hydras.Epsilon0.F_alpha]
F9 [definition, in additions.Euclidean_Chains]
F9_correct [lemma, in additions.Euclidean_Chains]
f:1 [binder, in hydras.Ackermann.PAconsistent]
f:1 [binder, in hydras.Ackermann.NN2PA]
f:1 [binder, in hydras.MoreAck.AckNotPR]
f:1 [binder, in hydras.MoreAck.Iterate_compat]
f:1 [binder, in hydras.Ackermann.PA]
f:10 [binder, in hydras.Ackermann.folProof]
f:10 [binder, in hydras.Prelude.DecPreOrder_Instances]
f:10 [binder, in hydras.MoreAck.AckNotPR]
f:10 [binder, in hydras.Epsilon0.Large_Sets]
f:10 [binder, in Goedel.rosserPA]
f:10 [binder, in hydras.Ackermann.wellFormed]
f:10 [binder, in gaia_hydras.GLarge_Sets]
f:10 [binder, in hydras.Ackermann.wConsistent]
f:100 [binder, in hydras.Ackermann.LNN2LNT]
f:100 [binder, in hydras.Ackermann.folLogic]
f:100 [binder, in hydras.Ackermann.folLogic3]
f:1000 [binder, in hydras.Ackermann.codeSubFormula]
f:1001 [binder, in hydras.Ackermann.codeSubFormula]
f:1002 [binder, in hydras.Ackermann.codeSubFormula]
f:1003 [binder, in hydras.Ackermann.codeSubFormula]
f:1006 [binder, in hydras.Ackermann.codeSubFormula]
f:1009 [binder, in hydras.Ackermann.codeSubFormula]
f:101 [binder, in hydras.Ackermann.LNT]
f:101 [binder, in hydras.Ackermann.codePA]
f:1012 [binder, in hydras.Ackermann.codeSubFormula]
f:1015 [binder, in hydras.Ackermann.codeSubFormula]
f:1018 [binder, in hydras.Ackermann.codeSubFormula]
f:102 [binder, in hydras.Ackermann.LNN]
f:102 [binder, in hydras.Ackermann.folReplace]
f:102 [binder, in hydras.Ackermann.codePA]
f:1021 [binder, in hydras.Ackermann.codeSubFormula]
f:1022 [binder, in hydras.Ackermann.codeSubFormula]
f:1023 [binder, in hydras.Ackermann.codeSubFormula]
f:1024 [binder, in hydras.Ackermann.codeSubFormula]
f:1025 [binder, in hydras.Ackermann.codeSubFormula]
f:1026 [binder, in hydras.Ackermann.codeSubFormula]
f:1027 [binder, in hydras.Ackermann.codeSubFormula]
f:1029 [binder, in hydras.Ackermann.codeSubFormula]
f:103 [binder, in hydras.Ackermann.folProp]
f:103 [binder, in hydras.Ackermann.folLogic]
f:103 [binder, in hydras.OrdinalNotations.ON_Generic]
f:103 [binder, in gaia_hydras.nfwfgaia]
f:103 [binder, in hydras.Ackermann.codePA]
f:1031 [binder, in hydras.Ackermann.codeSubFormula]
f:1033 [binder, in hydras.Ackermann.codeSubFormula]
f:1035 [binder, in hydras.Ackermann.codeSubFormula]
f:1037 [binder, in hydras.Ackermann.codeSubFormula]
f:1039 [binder, in hydras.Ackermann.codeSubFormula]
f:104 [binder, in hydras.Prelude.Iterates]
f:104 [binder, in hydras.Ackermann.LNN]
f:104 [binder, in hydras.Ackermann.LNT]
f:104 [binder, in hydras.rpo.rpo]
f:1041 [binder, in hydras.Ackermann.codeSubFormula]
f:1043 [binder, in hydras.Ackermann.codeSubFormula]
f:1045 [binder, in hydras.Ackermann.codeSubFormula]
f:1047 [binder, in hydras.Ackermann.codeSubFormula]
f:105 [binder, in hydras.Ackermann.codePA]
f:1050 [binder, in hydras.Ackermann.codeSubFormula]
f:1053 [binder, in hydras.Ackermann.codeSubFormula]
f:1056 [binder, in hydras.Ackermann.codeSubFormula]
f:1059 [binder, in hydras.Ackermann.codeSubFormula]
f:106 [binder, in hydras.Ackermann.folLogic]
f:1062 [binder, in hydras.Ackermann.codeSubFormula]
f:1065 [binder, in hydras.Ackermann.codeSubFormula]
f:1068 [binder, in hydras.Ackermann.codeSubFormula]
f:107 [binder, in hydras.Ackermann.LNN]
f:107 [binder, in hydras.Ackermann.LNT]
f:107 [binder, in hydras.Ackermann.folReplace]
f:107 [binder, in hydras.Ackermann.codePA]
f:1071 [binder, in hydras.Ackermann.codeSubFormula]
f:1073 [binder, in hydras.Ackermann.codeSubFormula]
f:1075 [binder, in hydras.Ackermann.codeSubFormula]
f:1077 [binder, in hydras.Ackermann.codeSubFormula]
f:1079 [binder, in hydras.Ackermann.codeSubFormula]
f:108 [binder, in hydras.Prelude.Iterates]
f:108 [binder, in hydras.Ackermann.folLogic]
f:1081 [binder, in hydras.Ackermann.codeSubFormula]
f:1083 [binder, in hydras.Ackermann.codeSubFormula]
f:1084 [binder, in hydras.Ackermann.codeSubFormula]
f:1085 [binder, in hydras.Ackermann.codeSubFormula]
f:1086 [binder, in hydras.Ackermann.codeSubFormula]
f:1087 [binder, in hydras.Ackermann.codeSubFormula]
f:1088 [binder, in hydras.Ackermann.codeSubFormula]
f:1089 [binder, in hydras.Ackermann.codeSubFormula]
f:109 [binder, in Goedel.rosserPA]
f:109 [binder, in hydras.Ackermann.fol]
f:109 [binder, in hydras.Ackermann.codePA]
f:1090 [binder, in hydras.Ackermann.codeSubFormula]
f:1091 [binder, in hydras.Ackermann.codeSubFormula]
f:1093 [binder, in hydras.Ackermann.codeSubFormula]
f:1095 [binder, in hydras.Ackermann.codeSubFormula]
f:1097 [binder, in hydras.Ackermann.codeSubFormula]
f:1099 [binder, in hydras.Ackermann.codeSubFormula]
f:11 [binder, in hydras.Prelude.Iterates]
f:11 [binder, in hydras.Ackermann.checkPrf]
f:11 [binder, in hydras.Ackermann.fol]
f:11 [binder, in hydras.Ackermann.folLogic]
f:11 [binder, in Goedel.codeSysPrf]
f:110 [binder, in hydras.rpo.term]
f:110 [binder, in hydras.Ackermann.LNN]
f:110 [binder, in hydras.Ackermann.LNT]
f:110 [binder, in hydras.Ackermann.folProp]
f:110 [binder, in Goedel.rosserPA]
f:1101 [binder, in hydras.Ackermann.codeSubFormula]
f:1103 [binder, in hydras.Ackermann.codeSubFormula]
f:1105 [binder, in hydras.Ackermann.codeSubFormula]
f:1107 [binder, in hydras.Ackermann.codeSubFormula]
f:1109 [binder, in hydras.Ackermann.codeSubFormula]
f:111 [binder, in hydras.Ackermann.codePA]
f:111 [binder, in hydras.rpo.rpo]
f:1111 [binder, in hydras.Ackermann.codeSubFormula]
f:1112 [binder, in hydras.Ackermann.codeSubFormula]
f:1113 [binder, in hydras.Ackermann.codeSubFormula]
f:1114 [binder, in hydras.Ackermann.codeSubFormula]
f:1115 [binder, in hydras.Ackermann.codeSubFormula]
f:1116 [binder, in hydras.Ackermann.codeSubFormula]
f:1117 [binder, in hydras.Ackermann.codeSubFormula]
f:1119 [binder, in hydras.Ackermann.codeSubFormula]
f:112 [binder, in Goedel.rosserPA]
f:112 [binder, in hydras.Ackermann.folLogic]
f:1121 [binder, in hydras.Ackermann.codeSubFormula]
f:1123 [binder, in hydras.Ackermann.codeSubFormula]
f:1125 [binder, in hydras.Ackermann.codeSubFormula]
f:1127 [binder, in hydras.Ackermann.codeSubFormula]
f:1129 [binder, in hydras.Ackermann.codeSubFormula]
f:113 [binder, in hydras.Prelude.Iterates]
f:113 [binder, in hydras.Ackermann.LNN2LNT]
f:113 [binder, in hydras.Ackermann.LNN]
f:113 [binder, in hydras.Ackermann.LNT]
f:113 [binder, in hydras.Ackermann.codePA]
f:1131 [binder, in hydras.Ackermann.codeSubFormula]
f:1133 [binder, in hydras.Ackermann.codeSubFormula]
f:1135 [binder, in hydras.Ackermann.codeSubFormula]
f:1137 [binder, in hydras.Ackermann.codeSubFormula]
f:1139 [binder, in hydras.Ackermann.codeSubFormula]
f:114 [binder, in hydras.Ackermann.subAll]
f:114 [binder, in hydras.Ackermann.LNN2LNT]
f:1141 [binder, in hydras.Ackermann.codeSubFormula]
f:1143 [binder, in hydras.Ackermann.codeSubFormula]
f:1145 [binder, in hydras.Ackermann.codeSubFormula]
f:1146 [binder, in hydras.Ackermann.codeSubFormula]
f:1147 [binder, in hydras.Ackermann.codeSubFormula]
f:1148 [binder, in hydras.Ackermann.codeSubFormula]
f:1149 [binder, in hydras.Ackermann.codeSubFormula]
f:115 [binder, in hydras.Ackermann.folLogic]
f:115 [binder, in hydras.Ackermann.codePA]
f:1150 [binder, in hydras.Ackermann.codeSubFormula]
f:1151 [binder, in hydras.Ackermann.codeSubFormula]
f:1152 [binder, in hydras.Ackermann.codeSubFormula]
f:1153 [binder, in hydras.Ackermann.codeSubFormula]
f:1155 [binder, in hydras.Ackermann.codeSubFormula]
f:1157 [binder, in hydras.Ackermann.codeSubFormula]
f:1159 [binder, in hydras.Ackermann.codeSubFormula]
f:116 [binder, in hydras.Ackermann.LNN]
f:116 [binder, in hydras.Ackermann.LNT]
f:116 [binder, in hydras.Ackermann.codeSubFormula]
f:116 [binder, in hydras.Ackermann.fol]
f:116 [binder, in hydras.OrdinalNotations.ON_Generic]
f:116 [binder, in hydras.Ackermann.codePA]
f:1161 [binder, in hydras.Ackermann.codeSubFormula]
f:1162 [binder, in hydras.Ackermann.codeSubFormula]
f:1163 [binder, in hydras.Ackermann.codeSubFormula]
f:1164 [binder, in hydras.Ackermann.codeSubFormula]
f:1165 [binder, in hydras.Ackermann.codeSubFormula]
f:1166 [binder, in hydras.Ackermann.codeSubFormula]
f:1167 [binder, in hydras.Ackermann.codeSubFormula]
f:1168 [binder, in hydras.Ackermann.codeSubFormula]
f:1169 [binder, in hydras.Ackermann.codeSubFormula]
f:117 [binder, in hydras.Ackermann.codePA]
f:1171 [binder, in hydras.Ackermann.codeSubFormula]
f:1173 [binder, in hydras.Ackermann.codeSubFormula]
f:1175 [binder, in hydras.Ackermann.codeSubFormula]
f:1177 [binder, in hydras.Ackermann.codeSubFormula]
f:1179 [binder, in hydras.Ackermann.codeSubFormula]
f:118 [binder, in hydras.Ackermann.LNT]
f:118 [binder, in hydras.Ackermann.folLogic]
f:118 [binder, in hydras.Ackermann.codePA]
f:118 [binder, in hydras.rpo.rpo]
f:1181 [binder, in hydras.Ackermann.codeSubFormula]
f:1183 [binder, in hydras.Ackermann.codeSubFormula]
f:1185 [binder, in hydras.Ackermann.codeSubFormula]
f:1187 [binder, in hydras.Ackermann.codeSubFormula]
f:1189 [binder, in hydras.Ackermann.codeSubFormula]
f:119 [binder, in hydras.Prelude.Iterates]
f:119 [binder, in hydras.Ackermann.LNN2LNT]
f:119 [binder, in hydras.Ackermann.LNN]
f:119 [binder, in hydras.Ackermann.codeSubFormula]
f:119 [binder, in hydras.Ackermann.codePA]
f:1191 [binder, in hydras.Ackermann.codeSubFormula]
f:1193 [binder, in hydras.Ackermann.codeSubFormula]
f:1195 [binder, in hydras.Ackermann.codeSubFormula]
f:1197 [binder, in hydras.Ackermann.codeSubFormula]
f:1198 [binder, in hydras.Ackermann.codeSubFormula]
f:1199 [binder, in hydras.Ackermann.codeSubFormula]
f:12 [binder, in hydras.Ackermann.folProof]
f:12 [binder, in hydras.solutions_exercises.MinPR2]
f:12 [binder, in hydras.Ackermann.model]
f:12 [binder, in hydras.Ackermann.PA]
f:12 [binder, in Goedel.goedel1]
f:12 [binder, in hydras.Ackermann.codePA]
f:12 [binder, in Goedel.goedel2]
f:12 [binder, in hydras.MoreAck.PrimRecExamples]
f:120 [binder, in hydras.rpo.term]
f:120 [binder, in hydras.Ackermann.folLogic]
f:1201 [binder, in hydras.Ackermann.codeSubFormula]
f:1203 [binder, in hydras.Ackermann.codeSubFormula]
f:1205 [binder, in hydras.Ackermann.codeSubFormula]
f:1207 [binder, in hydras.Ackermann.codeSubFormula]
f:1208 [binder, in hydras.Ackermann.codeSubFormula]
f:121 [binder, in hydras.Ackermann.LNN]
f:121 [binder, in hydras.Ackermann.codePA]
f:122 [binder, in hydras.Ackermann.LNT]
f:122 [binder, in hydras.Ackermann.codeSubFormula]
f:122 [binder, in hydras.Ackermann.primRec]
f:1220 [binder, in hydras.Ackermann.codeSubFormula]
f:1223 [binder, in hydras.Ackermann.codeSubFormula]
f:123 [binder, in hydras.Prelude.Iterates]
f:123 [binder, in hydras.Ackermann.folLogic]
f:123 [binder, in hydras.Ackermann.codePA]
f:1232 [binder, in hydras.Ackermann.codeSubFormula]
f:1235 [binder, in hydras.Ackermann.codeSubFormula]
f:124 [binder, in hydras.rpo.more_list]
f:124 [binder, in hydras.rpo.rpo]
f:125 [binder, in hydras.Ackermann.LNN2LNT]
f:125 [binder, in hydras.Ackermann.LNN]
f:125 [binder, in hydras.Ackermann.LNT]
f:125 [binder, in hydras.Ackermann.codePA]
f:1256 [binder, in hydras.Ackermann.codeSubFormula]
f:126 [binder, in hydras.Prelude.Iterates]
f:127 [binder, in hydras.Ackermann.primRec]
f:127 [binder, in hydras.Ackermann.folLogic]
f:127 [binder, in hydras.Schutte.Ordering_Functions]
f:127 [binder, in hydras.Ackermann.codePA]
f:128 [binder, in hydras.Prelude.Iterates]
f:128 [binder, in hydras.Ackermann.LNN]
f:128 [binder, in hydras.Ackermann.LNT]
f:129 [binder, in hydras.Ackermann.codePA]
f:1293 [binder, in hydras.Ackermann.codeSubFormula]
f:13 [binder, in hydras.Ackermann.folProof]
f:13 [binder, in hydras.Epsilon0.Epsilon0rpo]
f:13 [binder, in hydras.rpo.more_list]
f:13 [binder, in hydras.Ackermann.LNT]
f:13 [binder, in hydras.Epsilon0.Large_Sets]
f:13 [binder, in Goedel.rosserPA]
f:13 [binder, in gaia_hydras.onType]
f:13 [binder, in Goedel.goedel1]
f:13 [binder, in hydras.Ackermann.Languages]
f:13 [binder, in Goedel.goedel2]
f:130 [binder, in hydras.Ackermann.codeFreeVar]
f:130 [binder, in hydras.Ackermann.LNT]
f:131 [binder, in hydras.Prelude.Iterates]
f:131 [binder, in hydras.Ackermann.LNN]
f:131 [binder, in hydras.Ackermann.codeSubFormula]
f:131 [binder, in hydras.Ackermann.codePA]
f:132 [binder, in hydras.Ackermann.codeFreeVar]
f:132 [binder, in hydras.Ackermann.codePA]
f:133 [binder, in hydras.Ackermann.codeFreeVar]
f:133 [binder, in hydras.Ackermann.LNN]
f:133 [binder, in hydras.Ackermann.LNT]
f:133 [binder, in hydras.Ackermann.folProp]
f:133 [binder, in hydras.Ackermann.subProp]
f:133 [binder, in hydras.Ackermann.fol]
f:133 [binder, in hydras.Ackermann.codePA]
f:134 [binder, in hydras.Ackermann.fol]
f:134 [binder, in hydras.Ackermann.codePA]
f:135 [binder, in hydras.Ackermann.codeFreeVar]
f:135 [binder, in hydras.Ackermann.codePA]
f:136 [binder, in hydras.Ackermann.LNN]
f:136 [binder, in hydras.Ackermann.codePA]
f:136 [binder, in hydras.rpo.rpo]
f:1366 [binder, in hydras.Ackermann.codeSubFormula]
f:137 [binder, in hydras.Ackermann.folProp]
f:137 [binder, in hydras.Ackermann.subProp]
f:137 [binder, in hydras.Ackermann.codePA]
f:1376 [binder, in hydras.Ackermann.codeSubFormula]
f:1379 [binder, in hydras.Ackermann.codeSubFormula]
f:138 [binder, in hydras.Ackermann.LNN2LNT]
f:138 [binder, in hydras.Ackermann.codePA]
f:1387 [binder, in gaia_hydras.nfwfgaia]
f:139 [binder, in hydras.Ackermann.LNN2LNT]
f:139 [binder, in hydras.Ackermann.folProp]
f:139 [binder, in additions.Euclidean_Chains]
f:139 [binder, in hydras.Ackermann.codePA]
f:1396 [binder, in hydras.Ackermann.codeSubFormula]
f:1396 [binder, in gaia_hydras.nfwfgaia]
f:1399 [binder, in hydras.Ackermann.codeSubFormula]
f:14 [binder, in hydras.Ackermann.PA]
f:14 [binder, in hydras.Ackermann.folLogic]
f:14 [binder, in Goedel.goedel1]
f:14 [binder, in hydras.Ackermann.Languages]
f:14 [binder, in hydras.Schutte.Addition]
f:14 [binder, in Goedel.goedel2]
f:140 [binder, in hydras.Ackermann.LNN2LNT]
f:140 [binder, in hydras.rpo.rpo]
f:1404 [binder, in hydras.Ackermann.codeSubFormula]
f:141 [binder, in hydras.Prelude.Iterates]
f:141 [binder, in hydras.Ackermann.folProp]
f:1410 [binder, in hydras.Ackermann.codeSubFormula]
f:1417 [binder, in hydras.Ackermann.codeSubFormula]
f:142 [binder, in hydras.OrdinalNotations.ON_Generic]
f:142 [binder, in hydras.Ackermann.codePA]
f:1422 [binder, in hydras.Ackermann.codeSubFormula]
f:1427 [binder, in hydras.Ackermann.codeSubFormula]
f:143 [binder, in hydras.Ackermann.model]
f:143 [binder, in hydras.Ackermann.codePA]
f:1430 [binder, in hydras.Ackermann.codeSubFormula]
f:1433 [binder, in hydras.Ackermann.codeSubFormula]
f:1436 [binder, in hydras.Ackermann.codeSubFormula]
f:1439 [binder, in hydras.Ackermann.codeSubFormula]
f:144 [binder, in hydras.Ackermann.LNN2LNT]
f:1442 [binder, in hydras.Ackermann.codeSubFormula]
f:1445 [binder, in hydras.Ackermann.codeSubFormula]
f:1448 [binder, in hydras.Ackermann.codeSubFormula]
f:145 [binder, in hydras.rpo.rpo]
f:1451 [binder, in hydras.Ackermann.codeSubFormula]
f:1454 [binder, in hydras.Ackermann.codeSubFormula]
f:1457 [binder, in hydras.Ackermann.codeSubFormula]
f:146 [binder, in hydras.Schutte.Ordering_Functions]
f:1460 [binder, in hydras.Ackermann.codeSubFormula]
f:1463 [binder, in hydras.Ackermann.codeSubFormula]
f:1466 [binder, in hydras.Ackermann.codeSubFormula]
f:1469 [binder, in hydras.Ackermann.codeSubFormula]
f:147 [binder, in hydras.Ackermann.codeFreeVar]
f:147 [binder, in hydras.Ackermann.model]
f:147 [binder, in hydras.Hydra.Hydra_Lemmas]
f:1472 [binder, in hydras.Ackermann.codeSubFormula]
f:1475 [binder, in hydras.Ackermann.codeSubFormula]
f:1478 [binder, in hydras.Ackermann.codeSubFormula]
f:148 [binder, in hydras.Schutte.Ordering_Functions]
f:1481 [binder, in hydras.Ackermann.codeSubFormula]
f:1484 [binder, in hydras.Ackermann.codeSubFormula]
f:1487 [binder, in hydras.Ackermann.codeSubFormula]
f:149 [binder, in hydras.Ackermann.codeFreeVar]
f:149 [binder, in hydras.Schutte.Ordering_Functions]
f:149 [binder, in hydras.rpo.rpo]
f:1490 [binder, in hydras.Ackermann.codeSubFormula]
f:1493 [binder, in hydras.Ackermann.codeSubFormula]
f:1496 [binder, in hydras.Ackermann.codeSubFormula]
f:1499 [binder, in hydras.Ackermann.codeSubFormula]
f:15 [binder, in hydras.Ackermann.folProof]
f:15 [binder, in additions.Euclidean_Chains]
f:15 [binder, in Goedel.goedel1]
f:15 [binder, in hydras.Ackermann.codePA]
f:15 [binder, in hydras.Ackermann.expressible]
f:150 [binder, in hydras.Ackermann.model]
f:150 [binder, in hydras.Hydra.Hydra_Lemmas]
f:1502 [binder, in hydras.Ackermann.codeSubFormula]
f:1505 [binder, in hydras.Ackermann.codeSubFormula]
f:1508 [binder, in hydras.Ackermann.codeSubFormula]
f:151 [binder, in hydras.Prelude.Iterates]
f:151 [binder, in hydras.Ackermann.codeFreeVar]
f:1511 [binder, in hydras.Ackermann.codeSubFormula]
f:1513 [binder, in hydras.Ackermann.codeSubFormula]
f:1515 [binder, in hydras.Ackermann.codeSubFormula]
f:1518 [binder, in hydras.Ackermann.codeSubFormula]
f:1521 [binder, in hydras.Ackermann.codeSubFormula]
f:1524 [binder, in hydras.Ackermann.codeSubFormula]
f:1527 [binder, in hydras.Ackermann.codeSubFormula]
f:153 [binder, in hydras.Ackermann.codeFreeVar]
f:153 [binder, in hydras.Ackermann.model]
f:1530 [binder, in hydras.Ackermann.codeSubFormula]
f:1533 [binder, in hydras.Ackermann.codeSubFormula]
f:1536 [binder, in hydras.Ackermann.codeSubFormula]
f:1539 [binder, in hydras.Ackermann.codeSubFormula]
f:154 [binder, in hydras.Ackermann.model]
f:1542 [binder, in hydras.Ackermann.codeSubFormula]
f:1545 [binder, in hydras.Ackermann.codeSubFormula]
f:1548 [binder, in hydras.Ackermann.codeSubFormula]
f:155 [binder, in hydras.Ackermann.codeFreeVar]
f:155 [binder, in hydras.Ackermann.model]
f:155 [binder, in hydras.OrdinalNotations.ON_Generic]
f:1551 [binder, in hydras.Ackermann.codeSubFormula]
f:1554 [binder, in hydras.Ackermann.codeSubFormula]
f:1557 [binder, in hydras.Ackermann.codeSubFormula]
f:156 [binder, in hydras.Ackermann.subProp]
f:156 [binder, in hydras.Prelude.Merge_Sort]
f:1560 [binder, in hydras.Ackermann.codeSubFormula]
f:1563 [binder, in hydras.Ackermann.codeSubFormula]
f:1566 [binder, in hydras.Ackermann.codeSubFormula]
f:157 [binder, in hydras.Ackermann.codeFreeVar]
f:159 [binder, in hydras.Ackermann.codeFreeVar]
f:16 [binder, in hydras.Ackermann.LNN]
f:16 [binder, in hydras.Ackermann.LNT]
f:16 [binder, in hydras.Ackermann.folProp]
f:160 [binder, in hydras.Prelude.Iterates]
f:160 [binder, in hydras.Ackermann.subProp]
f:161 [binder, in hydras.Ackermann.codeFreeVar]
f:162 [binder, in hydras.Ackermann.codePA]
f:163 [binder, in hydras.Ackermann.codeFreeVar]
f:165 [binder, in hydras.Ackermann.codeFreeVar]
f:165 [binder, in hydras.Ackermann.subProp]
f:165 [binder, in hydras.Ackermann.cPair]
f:165 [binder, in hydras.Ackermann.codePA]
f:166 [binder, in hydras.Ackermann.model]
f:166 [binder, in hydras.Ackermann.codePA]
f:167 [binder, in hydras.Ackermann.codeFreeVar]
f:167 [binder, in hydras.OrdinalNotations.ON_Generic]
f:167 [binder, in hydras.Ackermann.codePA]
f:168 [binder, in hydras.rpo.term]
f:169 [binder, in hydras.Ackermann.codeFreeVar]
f:169 [binder, in hydras.Ackermann.cPair]
f:17 [binder, in hydras.Prelude.DecPreOrder_Instances]
f:17 [binder, in hydras.rpo.more_list]
f:17 [binder, in hydras.Ackermann.folLogic]
f:17 [binder, in hydras.Ackermann.expressible]
f:170 [binder, in hydras.Prelude.Iterates]
f:170 [binder, in hydras.Ackermann.codePA]
f:171 [binder, in hydras.Prelude.Iterates]
f:173 [binder, in hydras.Prelude.Iterates]
f:173 [binder, in hydras.Ackermann.codeFreeVar]
f:173 [binder, in hydras.Ackermann.cPair]
f:173 [binder, in hydras.Ackermann.codePA]
f:174 [binder, in gaia_hydras.T1Bridge]
f:174 [binder, in hydras.Ackermann.codePA]
f:175 [binder, in hydras.Ackermann.codeFreeVar]
f:175 [binder, in hydras.Schutte.Ordering_Functions]
f:175 [binder, in hydras.Ackermann.codePA]
f:176 [binder, in hydras.Ackermann.codePA]
f:177 [binder, in hydras.Ackermann.codeFreeVar]
f:177 [binder, in hydras.Ackermann.codePA]
f:178 [binder, in hydras.Schutte.Ordering_Functions]
f:178 [binder, in hydras.Ackermann.codePA]
f:179 [binder, in hydras.Ackermann.codeFreeVar]
f:179 [binder, in gaia_hydras.T1Bridge]
f:179 [binder, in hydras.OrdinalNotations.ON_Generic]
f:179 [binder, in hydras.Ackermann.codePA]
f:18 [binder, in hydras.Prelude.Iterates]
f:18 [binder, in hydras.Ackermann.LNT]
f:18 [binder, in hydras.Schutte.Critical]
f:18 [binder, in gaia_hydras.T1Bridge]
f:18 [binder, in gaia_hydras.GL_alpha]
f:18 [binder, in hydras.Ackermann.Languages]
f:18 [binder, in Goedel.goedel2]
f:180 [binder, in hydras.Ackermann.codePA]
f:181 [binder, in hydras.Ackermann.codeFreeVar]
f:181 [binder, in hydras.Schutte.Ordering_Functions]
f:181 [binder, in hydras.Ackermann.codePA]
f:182 [binder, in gaia_hydras.T1Bridge]
f:182 [binder, in hydras.Ackermann.codePA]
f:183 [binder, in hydras.Ackermann.codeFreeVar]
f:183 [binder, in hydras.Schutte.Ordering_Functions]
f:183 [binder, in hydras.Ackermann.codePA]
f:184 [binder, in hydras.Prelude.Iterates]
f:184 [binder, in hydras.Ackermann.codePA]
f:1845 [binder, in gaia_hydras.nfwfgaia]
f:185 [binder, in gaia_hydras.T1Bridge]
f:185 [binder, in hydras.Ackermann.codePA]
f:1852 [binder, in gaia_hydras.nfwfgaia]
f:186 [binder, in hydras.Ackermann.codePA]
f:1861 [binder, in gaia_hydras.nfwfgaia]
f:1863 [binder, in gaia_hydras.nfwfgaia]
f:1867 [binder, in gaia_hydras.nfwfgaia]
f:187 [binder, in hydras.Ackermann.codeFreeVar]
f:187 [binder, in gaia_hydras.T1Bridge]
f:187 [binder, in hydras.Ackermann.wellFormed]
f:187 [binder, in hydras.Ackermann.codePA]
f:1871 [binder, in gaia_hydras.nfwfgaia]
f:1872 [binder, in gaia_hydras.nfwfgaia]
f:1876 [binder, in gaia_hydras.nfwfgaia]
f:188 [binder, in hydras.Ackermann.codePA]
f:189 [binder, in hydras.Ackermann.subAll]
f:189 [binder, in hydras.Ackermann.codeFreeVar]
f:189 [binder, in hydras.Ackermann.cPair]
f:189 [binder, in hydras.Ackermann.wellFormed]
f:189 [binder, in hydras.Ackermann.codePA]
f:19 [binder, in hydras.Epsilon0.Epsilon0rpo]
f:19 [binder, in hydras.Ackermann.LNN]
f:19 [binder, in hydras.Ackermann.checkPrf]
f:19 [binder, in hydras.Ackermann.PA]
f:19 [binder, in gaia_hydras.GL_alpha]
f:190 [binder, in hydras.Ackermann.wellFormed]
f:190 [binder, in hydras.Ackermann.codePA]
f:191 [binder, in hydras.Prelude.Iterates]
f:191 [binder, in hydras.Ackermann.codeFreeVar]
f:191 [binder, in hydras.Ackermann.codePA]
f:192 [binder, in hydras.Ackermann.wellFormed]
f:192 [binder, in hydras.OrdinalNotations.ON_Generic]
f:192 [binder, in hydras.Ackermann.codePA]
f:193 [binder, in hydras.Ackermann.codeFreeVar]
f:193 [binder, in hydras.Ackermann.codePA]
f:194 [binder, in hydras.Ackermann.codePA]
f:195 [binder, in hydras.Ackermann.codeFreeVar]
f:195 [binder, in hydras.Ackermann.wellFormed]
f:195 [binder, in hydras.Ackermann.codePA]
f:1950 [binder, in gaia_hydras.nfwfgaia]
f:1956 [binder, in gaia_hydras.nfwfgaia]
f:196 [binder, in hydras.Ackermann.codePA]
f:1963 [binder, in gaia_hydras.nfwfgaia]
f:1968 [binder, in gaia_hydras.nfwfgaia]
f:197 [binder, in hydras.Ackermann.codeFreeVar]
f:197 [binder, in hydras.Ackermann.codePA]
f:1974 [binder, in gaia_hydras.nfwfgaia]
f:198 [binder, in hydras.Ackermann.wellFormed]
f:198 [binder, in hydras.Ackermann.codePA]
f:1980 [binder, in gaia_hydras.nfwfgaia]
f:1985 [binder, in gaia_hydras.nfwfgaia]
f:199 [binder, in hydras.Ackermann.codePA]
f:1991 [binder, in gaia_hydras.nfwfgaia]
f:1996 [binder, in gaia_hydras.nfwfgaia]
F:2 [binder, in hydras.MoreAck.BadSubst]
f:2 [binder, in hydras.Prelude.Iterates]
f:2 [binder, in hydras.Ackermann.wConsistent]
f:20 [binder, in hydras.Ackermann.model]
f:20 [binder, in Goedel.rosserPA]
f:20 [binder, in hydras.Ackermann.folLogic]
f:20 [binder, in hydras.Schutte.Ordering_Functions]
f:200 [binder, in hydras.Prelude.Iterates]
f:200 [binder, in hydras.Ackermann.codePA]
f:2002 [binder, in gaia_hydras.nfwfgaia]
f:2005 [binder, in gaia_hydras.nfwfgaia]
f:2009 [binder, in gaia_hydras.nfwfgaia]
f:201 [binder, in hydras.Ackermann.codeFreeVar]
f:201 [binder, in hydras.Ackermann.wellFormed]
f:201 [binder, in hydras.Ackermann.codePA]
f:202 [binder, in hydras.Ackermann.codeFreeVar]
f:202 [binder, in hydras.Ackermann.cPair]
f:202 [binder, in hydras.Ackermann.wellFormed]
f:202 [binder, in hydras.Ackermann.codePA]
f:203 [binder, in hydras.Ackermann.codeFreeVar]
f:203 [binder, in hydras.Ackermann.codePA]
f:204 [binder, in hydras.Ackermann.wellFormed]
f:204 [binder, in hydras.Ackermann.codePA]
f:205 [binder, in hydras.Ackermann.codeFreeVar]
f:205 [binder, in hydras.Ackermann.codePA]
f:206 [binder, in hydras.rpo.more_list]
f:206 [binder, in hydras.Ackermann.cPair]
f:206 [binder, in hydras.Ackermann.wellFormed]
f:206 [binder, in hydras.OrdinalNotations.ON_Generic]
f:206 [binder, in hydras.Ackermann.codePA]
f:207 [binder, in hydras.Ackermann.codeFreeVar]
f:207 [binder, in hydras.Ackermann.fol]
f:207 [binder, in hydras.Ackermann.codePA]
f:208 [binder, in hydras.Ackermann.wellFormed]
f:208 [binder, in hydras.Ackermann.codePA]
f:2088 [binder, in gaia_hydras.nfwfgaia]
f:209 [binder, in hydras.Ackermann.codeFreeVar]
f:209 [binder, in hydras.Ackermann.cPair]
f:209 [binder, in hydras.Ackermann.codePA]
f:2094 [binder, in gaia_hydras.nfwfgaia]
f:2099 [binder, in gaia_hydras.nfwfgaia]
f:21 [binder, in hydras.Prelude.Iterates]
f:21 [binder, in hydras.Ackermann.LNN]
f:21 [binder, in hydras.Ackermann.LNT]
f:21 [binder, in hydras.Ackermann.subProp]
f:21 [binder, in gaia_hydras.T1Bridge]
f:21 [binder, in Goedel.rosserPA]
f:21 [binder, in hydras.Ackermann.expressible]
f:210 [binder, in hydras.Ackermann.wellFormed]
f:210 [binder, in hydras.Ackermann.fol]
f:210 [binder, in hydras.Ackermann.codePA]
f:2105 [binder, in gaia_hydras.nfwfgaia]
f:2107 [binder, in gaia_hydras.nfwfgaia]
f:211 [binder, in hydras.Ackermann.codeFreeVar]
f:211 [binder, in hydras.Ackermann.cPair]
f:211 [binder, in hydras.Ackermann.codePA]
f:212 [binder, in hydras.Ackermann.codeFreeVar]
f:212 [binder, in hydras.Ackermann.wellFormed]
f:212 [binder, in hydras.Ackermann.codePA]
f:213 [binder, in hydras.Ackermann.codeFreeVar]
f:213 [binder, in hydras.Ackermann.codePA]
f:214 [binder, in hydras.Ackermann.wellFormed]
f:214 [binder, in hydras.Ackermann.codePA]
f:215 [binder, in hydras.Ackermann.codeFreeVar]
f:215 [binder, in hydras.Ackermann.codePA]
f:216 [binder, in hydras.rpo.term]
f:216 [binder, in hydras.rpo.more_list]
f:216 [binder, in hydras.Ackermann.cPair]
f:216 [binder, in hydras.Ackermann.wellFormed]
f:216 [binder, in hydras.Ackermann.codePA]
f:217 [binder, in hydras.Ackermann.codeFreeVar]
f:217 [binder, in hydras.Ackermann.codePA]
f:218 [binder, in hydras.Ackermann.wellFormed]
f:218 [binder, in hydras.Ackermann.codePA]
f:219 [binder, in hydras.Ackermann.codeFreeVar]
f:219 [binder, in hydras.Ackermann.codePA]
f:22 [binder, in hydras.rpo.more_list]
f:22 [binder, in hydras.Ackermann.PA]
f:22 [binder, in hydras.Ackermann.folLogic]
f:22 [binder, in gaia_hydras.GL_alpha]
f:22 [binder, in Goedel.goedel2]
f:220 [binder, in hydras.Ackermann.wellFormed]
f:220 [binder, in hydras.Ackermann.codePA]
f:221 [binder, in hydras.rpo.term]
f:221 [binder, in hydras.Ackermann.codeFreeVar]
f:221 [binder, in hydras.Ackermann.codePA]
f:222 [binder, in hydras.Prelude.Iterates]
f:222 [binder, in hydras.Ackermann.codeFreeVar]
f:222 [binder, in hydras.Ackermann.wellFormed]
f:222 [binder, in hydras.Ackermann.codePA]
f:223 [binder, in hydras.Ackermann.codeFreeVar]
f:223 [binder, in hydras.Ackermann.model]
f:223 [binder, in hydras.Ackermann.codePA]
f:224 [binder, in hydras.Ackermann.codeFreeVar]
f:224 [binder, in hydras.Ackermann.wellFormed]
f:224 [binder, in hydras.Ackermann.codePA]
f:225 [binder, in hydras.Ackermann.codeFreeVar]
f:225 [binder, in hydras.Ackermann.codePA]
f:226 [binder, in hydras.Ackermann.codeFreeVar]
f:226 [binder, in hydras.rpo.more_list]
f:226 [binder, in hydras.Ackermann.wellFormed]
f:226 [binder, in hydras.Ackermann.codePA]
f:227 [binder, in hydras.Ackermann.subAll]
f:227 [binder, in hydras.Ackermann.codeFreeVar]
f:227 [binder, in hydras.Ackermann.codePA]
f:228 [binder, in hydras.Ackermann.codeFreeVar]
f:228 [binder, in hydras.Ackermann.wellFormed]
f:228 [binder, in hydras.Ackermann.codePA]
f:229 [binder, in hydras.Ackermann.codeFreeVar]
f:23 [binder, in hydras.MoreAck.AckNotPR]
f:230 [binder, in hydras.Ackermann.wellFormed]
f:230 [binder, in hydras.Ackermann.fol]
f:231 [binder, in hydras.Ackermann.codeFreeVar]
f:231 [binder, in hydras.Ackermann.codePA]
f:232 [binder, in hydras.Ackermann.folProp]
f:232 [binder, in hydras.Ackermann.wellFormed]
f:233 [binder, in hydras.Ackermann.codeFreeVar]
f:233 [binder, in hydras.Ackermann.fol]
f:234 [binder, in hydras.Ackermann.codePA]
f:235 [binder, in hydras.Ackermann.codeFreeVar]
f:235 [binder, in hydras.Ackermann.wellFormed]
f:235 [binder, in hydras.Ackermann.codePA]
f:236 [binder, in hydras.Prelude.Iterates]
f:236 [binder, in hydras.Ackermann.codePA]
f:237 [binder, in hydras.Ackermann.codeFreeVar]
f:237 [binder, in hydras.Ackermann.codePA]
f:238 [binder, in hydras.Ackermann.codeFreeVar]
f:238 [binder, in hydras.Ackermann.wellFormed]
f:239 [binder, in hydras.Ackermann.codeFreeVar]
f:24 [binder, in hydras.Ackermann.LNN]
f:24 [binder, in hydras.Ackermann.LNT]
f:24 [binder, in hydras.Ackermann.folLogic]
f:24 [binder, in Goedel.goedel1]
f:24 [binder, in hydras.Schutte.Ordering_Functions]
f:24 [binder, in hydras.Ackermann.codePA]
f:24 [binder, in Goedel.goedel2]
f:240 [binder, in hydras.Ackermann.codeFreeVar]
f:240 [binder, in additions.Euclidean_Chains]
f:240 [binder, in hydras.Ackermann.wellFormed]
f:241 [binder, in hydras.Prelude.Iterates]
f:241 [binder, in hydras.Ackermann.codeFreeVar]
f:242 [binder, in hydras.Ackermann.codeFreeVar]
f:242 [binder, in hydras.Ackermann.wellFormed]
f:243 [binder, in hydras.Ackermann.codeFreeVar]
f:243 [binder, in hydras.rpo.more_list]
f:244 [binder, in hydras.Ackermann.cPair]
f:244 [binder, in hydras.Ackermann.wellFormed]
f:245 [binder, in hydras.Prelude.Iterates]
f:245 [binder, in hydras.Ackermann.codeFreeVar]
f:246 [binder, in hydras.Ackermann.wellFormed]
f:247 [binder, in hydras.Ackermann.codeFreeVar]
f:248 [binder, in hydras.Ackermann.wellFormed]
f:248 [binder, in hydras.Ackermann.fol]
f:248 [binder, in hydras.Gamma0.Gamma0]
f:249 [binder, in hydras.Prelude.Iterates]
f:249 [binder, in hydras.Ackermann.codeFreeVar]
f:249 [binder, in hydras.Ackermann.wellFormed]
f:25 [binder, in hydras.Prelude.Iterates]
f:25 [binder, in hydras.Ackermann.folLogic2]
f:25 [binder, in additions.Euclidean_Chains]
f:25 [binder, in gaia_hydras.GL_alpha]
f:25 [binder, in hydras.Ackermann.expressible]
f:250 [binder, in hydras.Ackermann.wellFormed]
f:251 [binder, in hydras.Ackermann.subAll]
f:251 [binder, in hydras.Ackermann.codeFreeVar]
f:251 [binder, in hydras.Ackermann.wellFormed]
f:251 [binder, in hydras.Ackermann.fol]
f:252 [binder, in hydras.Ackermann.wellFormed]
f:253 [binder, in hydras.Ackermann.codeFreeVar]
f:253 [binder, in hydras.rpo.more_list]
f:253 [binder, in hydras.Ackermann.wellFormed]
f:254 [binder, in hydras.Ackermann.wellFormed]
f:254 [binder, in hydras.Gamma0.Gamma0]
f:255 [binder, in hydras.Ackermann.subAll]
f:255 [binder, in hydras.Ackermann.codeFreeVar]
f:256 [binder, in hydras.Ackermann.wellFormed]
f:257 [binder, in hydras.Ackermann.codeFreeVar]
f:258 [binder, in hydras.Ackermann.wellFormed]
f:259 [binder, in hydras.Ackermann.codeFreeVar]
f:26 [binder, in Goedel.codeSysPrf]
f:26 [binder, in gaia_hydras.nfwfgaia]
f:26 [binder, in hydras.Ackermann.Languages]
f:260 [binder, in hydras.Ackermann.codeFreeVar]
f:260 [binder, in hydras.Ackermann.wellFormed]
f:260 [binder, in hydras.Ackermann.fol]
f:260 [binder, in hydras.Gamma0.Gamma0]
f:261 [binder, in hydras.Ackermann.codeFreeVar]
f:262 [binder, in hydras.Ackermann.codeFreeVar]
f:262 [binder, in hydras.Ackermann.wellFormed]
f:262 [binder, in hydras.Ackermann.fol]
f:263 [binder, in hydras.Ackermann.codeFreeVar]
f:264 [binder, in hydras.Ackermann.codeFreeVar]
f:264 [binder, in hydras.Ackermann.wellFormed]
f:265 [binder, in hydras.Ackermann.codeFreeVar]
f:265 [binder, in hydras.rpo.more_list]
f:266 [binder, in hydras.Ackermann.codeFreeVar]
f:266 [binder, in hydras.Ackermann.wellFormed]
f:267 [binder, in hydras.Ackermann.codeFreeVar]
f:268 [binder, in hydras.Ackermann.wellFormed]
f:269 [binder, in hydras.Ackermann.codeFreeVar]
f:27 [binder, in hydras.rpo.more_list]
f:27 [binder, in hydras.Ackermann.LNN]
f:27 [binder, in hydras.Ackermann.LNT]
f:27 [binder, in additions.Euclidean_Chains]
f:27 [binder, in hydras.Ackermann.folLogic]
f:27 [binder, in Goedel.rosser]
f:27 [binder, in hydras.Ackermann.codePA]
f:27 [binder, in hydras.Schutte.Countable]
f:270 [binder, in hydras.Ackermann.wellFormed]
f:271 [binder, in hydras.Ackermann.codeFreeVar]
f:272 [binder, in hydras.Ackermann.wellFormed]
f:273 [binder, in hydras.Ackermann.codeFreeVar]
f:274 [binder, in hydras.Ackermann.wellFormed]
f:275 [binder, in hydras.Ackermann.codeFreeVar]
f:276 [binder, in hydras.Ackermann.codeFreeVar]
f:276 [binder, in hydras.Ackermann.wellFormed]
f:277 [binder, in hydras.Ackermann.codeFreeVar]
f:278 [binder, in hydras.Ackermann.codeFreeVar]
f:278 [binder, in hydras.Ackermann.wellFormed]
f:279 [binder, in hydras.Ackermann.codeFreeVar]
f:279 [binder, in hydras.Ackermann.folProp]
f:28 [binder, in hydras.Ackermann.model]
f:28 [binder, in additions.Euclidean_Chains]
f:28 [binder, in Goedel.codeSysPrf]
f:28 [binder, in hydras.Schutte.Ordering_Functions]
f:28 [binder, in hydras.Schutte.Countable]
f:280 [binder, in hydras.Ackermann.codeFreeVar]
f:280 [binder, in hydras.Ackermann.wellFormed]
f:280 [binder, in hydras.rpo.rpo]
f:281 [binder, in hydras.Ackermann.codeFreeVar]
f:282 [binder, in hydras.Ackermann.subAll]
f:282 [binder, in hydras.Ackermann.codeFreeVar]
f:282 [binder, in hydras.Ackermann.wellFormed]
f:283 [binder, in hydras.Ackermann.codeFreeVar]
f:284 [binder, in hydras.Ackermann.codeFreeVar]
f:284 [binder, in hydras.Ackermann.wellFormed]
f:285 [binder, in hydras.Ackermann.codeFreeVar]
f:286 [binder, in hydras.Ackermann.codeFreeVar]
f:286 [binder, in hydras.Ackermann.wellFormed]
f:287 [binder, in hydras.Ackermann.subAll]
f:287 [binder, in hydras.Ackermann.codeFreeVar]
f:288 [binder, in hydras.rpo.term]
f:288 [binder, in hydras.Ackermann.codeFreeVar]
f:288 [binder, in hydras.Ackermann.wellFormed]
f:289 [binder, in hydras.Ackermann.codeFreeVar]
f:29 [binder, in hydras.Ackermann.model]
f:29 [binder, in hydras.Prelude.Sort_spec]
f:29 [binder, in gaia_hydras.nfwfgaia]
f:290 [binder, in hydras.Ackermann.codeFreeVar]
f:290 [binder, in hydras.Ackermann.wellFormed]
f:291 [binder, in hydras.Ackermann.codeFreeVar]
f:292 [binder, in hydras.Ackermann.codeFreeVar]
f:292 [binder, in hydras.Ackermann.wellFormed]
f:294 [binder, in hydras.Ackermann.wellFormed]
f:296 [binder, in hydras.Ackermann.wellFormed]
f:297 [binder, in hydras.Ackermann.subAll]
f:298 [binder, in hydras.rpo.term]
f:298 [binder, in hydras.Ackermann.wellFormed]
f:298 [binder, in hydras.Ackermann.fol]
f:3 [binder, in hydras.Prelude.DecPreOrder_Instances]
F:3 [binder, in hydras.Ackermann.NN2PA]
f:3 [binder, in hydras.Prelude.STDPP_compat]
f:3 [binder, in hydras.Ackermann.folLogic]
f:30 [binder, in hydras.Prelude.Iterates]
f:30 [binder, in hydras.Ackermann.LNN]
f:30 [binder, in hydras.Ackermann.LNT]
f:30 [binder, in hydras.Ackermann.folLogic]
f:30 [binder, in hydras.Schutte.Ordering_Functions]
f:30 [binder, in hydras.Ackermann.codePA]
f:30 [binder, in hydras.MoreAck.FolExamples]
f:300 [binder, in hydras.Ackermann.wellFormed]
f:301 [binder, in hydras.Ackermann.fol]
f:302 [binder, in hydras.Ackermann.wellFormed]
f:303 [binder, in hydras.Ackermann.wellFormed]
f:304 [binder, in hydras.Ackermann.wellFormed]
f:305 [binder, in hydras.Ackermann.wellFormed]
f:306 [binder, in hydras.Ackermann.wellFormed]
f:307 [binder, in hydras.Ackermann.wellFormed]
f:308 [binder, in hydras.Ackermann.wellFormed]
f:309 [binder, in hydras.Ackermann.wellFormed]
f:31 [binder, in hydras.Ackermann.folLogic2]
f:31 [binder, in Goedel.codeSysPrf]
f:31 [binder, in hydras.Ackermann.Languages]
f:31 [binder, in hydras.Ackermann.expressible]
f:310 [binder, in hydras.Ackermann.wellFormed]
f:310 [binder, in hydras.Ackermann.fol]
f:311 [binder, in hydras.Ackermann.wellFormed]
f:312 [binder, in hydras.Ackermann.wellFormed]
f:312 [binder, in hydras.Ackermann.fol]
f:313 [binder, in hydras.Ackermann.wellFormed]
f:314 [binder, in hydras.Ackermann.wellFormed]
f:315 [binder, in hydras.Ackermann.wellFormed]
f:316 [binder, in hydras.Ackermann.subAll]
f:316 [binder, in hydras.Ackermann.wellFormed]
f:317 [binder, in hydras.Ackermann.wellFormed]
f:318 [binder, in hydras.Ackermann.wellFormed]
f:319 [binder, in hydras.Ackermann.wellFormed]
f:32 [binder, in hydras.Prelude.Iterates]
f:32 [binder, in hydras.Ackermann.LNT]
f:32 [binder, in gaia_hydras.T1Bridge]
f:320 [binder, in hydras.Ackermann.wellFormed]
f:321 [binder, in hydras.Ackermann.wellFormed]
f:322 [binder, in hydras.Ackermann.wellFormed]
f:323 [binder, in hydras.Ackermann.wellFormed]
f:324 [binder, in hydras.Ackermann.wellFormed]
f:326 [binder, in hydras.Ackermann.wellFormed]
f:328 [binder, in hydras.Ackermann.wellFormed]
f:33 [binder, in hydras.rpo.more_list]
f:33 [binder, in hydras.Ackermann.LNN]
f:33 [binder, in hydras.Ackermann.folLogic]
f:33 [binder, in hydras.Ackermann.codePA]
f:33 [binder, in hydras.Ackermann.expressible]
f:330 [binder, in hydras.Ackermann.wellFormed]
f:332 [binder, in hydras.Ackermann.wellFormed]
f:333 [binder, in hydras.Ackermann.wellFormed]
f:334 [binder, in hydras.Ackermann.wellFormed]
f:335 [binder, in hydras.Ackermann.wellFormed]
f:336 [binder, in hydras.Ackermann.wellFormed]
f:337 [binder, in hydras.Ackermann.wellFormed]
f:338 [binder, in hydras.Ackermann.wellFormed]
f:339 [binder, in hydras.Ackermann.wellFormed]
f:34 [binder, in hydras.Ackermann.LNT]
f:340 [binder, in hydras.Ackermann.wellFormed]
f:341 [binder, in hydras.Ackermann.wellFormed]
f:342 [binder, in hydras.Ackermann.wellFormed]
f:343 [binder, in hydras.Ackermann.wellFormed]
f:344 [binder, in hydras.Ackermann.wellFormed]
f:344 [binder, in hydras.Ackermann.fol]
f:345 [binder, in hydras.Ackermann.wellFormed]
f:346 [binder, in hydras.rpo.term]
f:347 [binder, in hydras.Ackermann.primRec]
f:347 [binder, in hydras.Ackermann.fol]
f:35 [binder, in hydras.Ackermann.folLogic2]
f:35 [binder, in hydras.Ackermann.LNN]
f:35 [binder, in gaia_hydras.T1Bridge]
F:350 [binder, in Goedel.PRrepresentable]
f:350 [binder, in hydras.Ackermann.primRec]
F:354 [binder, in Goedel.PRrepresentable]
f:356 [binder, in hydras.Ackermann.fol]
F:358 [binder, in Goedel.PRrepresentable]
f:358 [binder, in hydras.Ackermann.fol]
f:359 [binder, in hydras.Ackermann.primRec]
f:36 [binder, in hydras.Prelude.Iterates]
f:36 [binder, in hydras.Ackermann.LNT]
f:36 [binder, in hydras.Ackermann.folLogic]
f:36 [binder, in hydras.Ackermann.Languages]
f:36 [binder, in hydras.Ackermann.codePA]
F:362 [binder, in Goedel.PRrepresentable]
f:363 [binder, in hydras.Ackermann.primRec]
f:37 [binder, in hydras.rpo.term]
f:37 [binder, in hydras.Ackermann.LNN]
f:37 [binder, in hydras.Epsilon0.Large_Sets]
f:37 [binder, in Goedel.rosserPA]
f:37 [binder, in hydras.Schutte.Countable]
f:37 [binder, in hydras.Ackermann.expressible]
f:38 [binder, in hydras.Prelude.Sort_spec]
f:38 [binder, in hydras.Ackermann.folProp]
f:38 [binder, in hydras.Ackermann.code]
f:38 [binder, in hydras.Ackermann.folLogic]
f:381 [binder, in hydras.Ackermann.primRec]
F:384 [binder, in Goedel.PRrepresentable]
F:388 [binder, in Goedel.PRrepresentable]
f:388 [binder, in hydras.Ackermann.fol]
f:39 [binder, in hydras.Prelude.Iterates]
f:39 [binder, in additions.FirstSteps]
f:39 [binder, in hydras.Ackermann.LNN]
f:39 [binder, in hydras.Ackermann.LNT]
F:39 [binder, in hydras.Ackermann.folProp]
f:39 [binder, in hydras.Ackermann.codePA]
f:39 [binder, in hydras.MoreAck.PrimRecExamples]
f:391 [binder, in hydras.Ackermann.fol]
F:392 [binder, in Goedel.PRrepresentable]
F:396 [binder, in Goedel.PRrepresentable]
f:4 [binder, in hydras.MoreAck.AckNotPR]
f:4 [binder, in hydras.MoreAck.Iterate_compat]
f:40 [binder, in hydras.Epsilon0.Large_Sets]
f:40 [binder, in hydras.Ackermann.expressible]
f:400 [binder, in hydras.Ackermann.folProp]
f:400 [binder, in hydras.Ackermann.fol]
f:402 [binder, in hydras.Ackermann.fol]
F:404 [binder, in Goedel.PRrepresentable]
F:408 [binder, in Goedel.PRrepresentable]
f:41 [binder, in hydras.Prelude.Iterates]
F:41 [binder, in hydras.Ackermann.folProp]
f:41 [binder, in hydras.Ackermann.code]
f:41 [binder, in hydras.rpo.rpo]
F:412 [binder, in Goedel.PRrepresentable]
f:414 [binder, in hydras.Ackermann.folProp]
f:414 [binder, in hydras.Ackermann.primRec]
F:416 [binder, in Goedel.PRrepresentable]
f:42 [binder, in hydras.Ackermann.LNN]
f:42 [binder, in hydras.Ackermann.LNT]
f:42 [binder, in hydras.Ackermann.folProp]
f:42 [binder, in hydras.MoreAck.AckNotPR]
f:42 [binder, in hydras.Ackermann.folLogic]
f:42 [binder, in gaia_hydras.nfwfgaia]
f:425 [binder, in hydras.Ackermann.primRec]
f:426 [binder, in hydras.Ackermann.folProp]
f:428 [binder, in Goedel.PRrepresentable]
f:428 [binder, in hydras.Ackermann.folProp]
f:43 [binder, in hydras.rpo.term]
f:43 [binder, in hydras.Ackermann.folProof]
f:43 [binder, in hydras.Prelude.Iterates]
f:43 [binder, in hydras.Epsilon0.Large_Sets]
f:430 [binder, in hydras.Ackermann.primRec]
f:431 [binder, in Goedel.PRrepresentable]
f:433 [binder, in hydras.Ackermann.folProp]
f:434 [binder, in Goedel.PRrepresentable]
f:437 [binder, in Goedel.PRrepresentable]
f:437 [binder, in hydras.Ackermann.primRec]
f:44 [binder, in hydras.Ackermann.subAll]
f:44 [binder, in hydras.Ackermann.model]
f:44 [binder, in hydras.Ackermann.subProp]
f:44 [binder, in hydras.Ackermann.code]
f:44 [binder, in hydras.Schutte.Ordering_Functions]
f:44 [binder, in hydras.Ackermann.expressible]
f:440 [binder, in hydras.Ackermann.fol]
f:442 [binder, in hydras.Ackermann.folProp]
f:442 [binder, in hydras.Ackermann.fol]
f:445 [binder, in Goedel.PRrepresentable]
f:446 [binder, in hydras.Ackermann.fol]
f:45 [binder, in hydras.Ackermann.folProof]
f:45 [binder, in hydras.Ackermann.LNN]
f:45 [binder, in hydras.Ackermann.LNT]
f:45 [binder, in hydras.Ackermann.folProp]
f:45 [binder, in hydras.Schutte.AP]
f:45 [binder, in hydras.Epsilon0.L_alpha]
f:45 [binder, in hydras.Schutte.Schutte_basics]
f:45 [binder, in hydras.rpo.rpo]
f:456 [binder, in Goedel.PRrepresentable]
f:46 [binder, in hydras.Prelude.Iterates]
f:46 [binder, in hydras.MoreAck.AckNotPR]
f:46 [binder, in hydras.Epsilon0.Large_Sets]
f:46 [binder, in hydras.Ackermann.folLogic]
f:46 [binder, in hydras.MoreAck.PrimRecExamples]
f:47 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
f:47 [binder, in gaia_hydras.nfwfgaia]
f:47 [binder, in hydras.Ackermann.Languages]
f:47 [binder, in hydras.MoreAck.PrimRecExamples]
f:474 [binder, in Goedel.PRrepresentable]
f:48 [binder, in hydras.Ackermann.LNN]
f:48 [binder, in hydras.Ackermann.LNT]
f:48 [binder, in hydras.Schutte.Ordering_Functions]
f:48 [binder, in hydras.Ackermann.Languages]
f:48 [binder, in hydras.Ackermann.expressible]
f:49 [binder, in hydras.Prelude.Iterates]
f:49 [binder, in hydras.Ackermann.LNN2LNT]
f:49 [binder, in hydras.Epsilon0.Large_Sets]
f:49 [binder, in hydras.Ackermann.folLogic]
f:49 [binder, in gaia_hydras.nfwfgaia]
f:5 [binder, in hydras.rpo.more_list]
f:5 [binder, in hydras.Ackermann.folLogic2]
f:5 [binder, in hydras.Ackermann.code]
f:5 [binder, in hydras.Ackermann.PA]
f:5 [binder, in hydras.Schutte.Ordering_Functions]
f:50 [binder, in hydras.Ackermann.folProof]
f:50 [binder, in hydras.Ackermann.subAll]
f:50 [binder, in hydras.MoreAck.AckNotPR]
f:50 [binder, in hydras.Ackermann.Languages]
f:50 [binder, in hydras.rpo.rpo]
f:51 [binder, in hydras.Ackermann.LNN]
f:514 [binder, in gaia_hydras.nfwfgaia]
f:519 [binder, in gaia_hydras.nfwfgaia]
f:52 [binder, in hydras.Ackermann.folProof]
f:52 [binder, in Goedel.PRrepresentable]
f:52 [binder, in hydras.Ackermann.LNT]
f:52 [binder, in hydras.Ackermann.PA]
f:52 [binder, in hydras.Ackermann.folLogic]
f:52 [binder, in gaia_hydras.nfwfgaia]
f:52 [binder, in hydras.MoreAck.PrimRecExamples]
f:524 [binder, in gaia_hydras.nfwfgaia]
f:527 [binder, in gaia_hydras.nfwfgaia]
f:53 [binder, in hydras.Prelude.Iterates]
f:53 [binder, in hydras.Schutte.Ordering_Functions]
f:538 [binder, in hydras.Ackermann.checkPrf]
f:54 [binder, in hydras.Ackermann.folProof]
f:54 [binder, in hydras.Ackermann.model]
f:54 [binder, in hydras.rpo.rpo]
f:541 [binder, in hydras.Ackermann.checkPrf]
f:542 [binder, in gaia_hydras.nfwfgaia]
f:544 [binder, in hydras.Ackermann.checkPrf]
f:545 [binder, in hydras.Ackermann.checkPrf]
f:546 [binder, in gaia_hydras.nfwfgaia]
f:548 [binder, in hydras.Ackermann.checkPrf]
f:55 [binder, in hydras.Ackermann.LNN]
f:55 [binder, in hydras.Ackermann.folLogic]
f:55 [binder, in hydras.MoreAck.PrimRecExamples]
f:550 [binder, in gaia_hydras.nfwfgaia]
f:553 [binder, in gaia_hydras.nfwfgaia]
f:558 [binder, in gaia_hydras.nfwfgaia]
f:56 [binder, in hydras.Ackermann.LNT]
f:56 [binder, in hydras.Ackermann.primRec]
f:56 [binder, in hydras.OrdinalNotations.ON_Generic]
f:560 [binder, in gaia_hydras.nfwfgaia]
f:566 [binder, in gaia_hydras.nfwfgaia]
f:568 [binder, in gaia_hydras.nfwfgaia]
f:57 [binder, in hydras.Prelude.Iterates]
f:57 [binder, in Goedel.rosserPA]
f:57 [binder, in Goedel.codeSysPrf]
f:576 [binder, in gaia_hydras.nfwfgaia]
f:58 [binder, in hydras.Ackermann.model]
f:58 [binder, in hydras.Ackermann.folLogic]
f:58 [binder, in hydras.Schutte.Ordering_Functions]
f:582 [binder, in gaia_hydras.nfwfgaia]
f:587 [binder, in gaia_hydras.nfwfgaia]
f:59 [binder, in hydras.Ackermann.LNN]
f:59 [binder, in hydras.Ackermann.LNT]
f:59 [binder, in hydras.Prelude.Sort_spec]
f:59 [binder, in hydras.MoreAck.PrimRecExamples]
f:593 [binder, in gaia_hydras.nfwfgaia]
f:596 [binder, in gaia_hydras.nfwfgaia]
F:6 [binder, in hydras.Ackermann.Deduction]
f:6 [binder, in hydras.Ackermann.folLogic]
f:602 [binder, in hydras.Ackermann.primRec]
f:61 [binder, in hydras.Ackermann.folLogic]
f:62 [binder, in hydras.Prelude.Iterates]
f:62 [binder, in hydras.Ackermann.LNN2LNT]
f:62 [binder, in hydras.Ackermann.LNN]
f:62 [binder, in hydras.Ackermann.LNT]
f:62 [binder, in hydras.Ackermann.fol]
f:62 [binder, in hydras.Prelude.MoreVectors]
f:621 [binder, in hydras.Ackermann.primRec]
f:624 [binder, in hydras.Ackermann.primRec]
f:628 [binder, in hydras.Ackermann.primRec]
f:63 [binder, in hydras.Ackermann.primRec]
f:63 [binder, in hydras.Epsilon0.Hprime]
f:63 [binder, in hydras.Schutte.Ordering_Functions]
f:633 [binder, in hydras.Ackermann.primRec]
f:637 [binder, in hydras.Ackermann.primRec]
f:64 [binder, in hydras.Ackermann.LNN2LNT]
f:64 [binder, in hydras.Ackermann.folProp]
f:64 [binder, in hydras.Ackermann.folLogic]
f:64 [binder, in hydras.Ackermann.codePA]
f:642 [binder, in hydras.Ackermann.primRec]
f:65 [binder, in hydras.Prelude.Iterates]
f:65 [binder, in hydras.Ackermann.LNN]
f:65 [binder, in hydras.Ackermann.LNT]
f:65 [binder, in hydras.Ackermann.Languages]
f:65 [binder, in hydras.Ackermann.codePA]
f:66 [binder, in hydras.Ackermann.LNN2LNT]
f:66 [binder, in hydras.Schutte.Ordering_Functions]
f:66 [binder, in hydras.Ackermann.codePA]
f:664 [binder, in hydras.Ackermann.primRec]
f:67 [binder, in hydras.Ackermann.subProp]
f:67 [binder, in additions.Euclidean_Chains]
f:67 [binder, in hydras.Ackermann.folLogic]
f:67 [binder, in hydras.Ackermann.codePA]
f:672 [binder, in hydras.Ackermann.primRec]
f:68 [binder, in hydras.Ackermann.LNN]
f:68 [binder, in hydras.Ackermann.LNT]
f:68 [binder, in hydras.Schutte.PartialFun]
f:68 [binder, in hydras.Ackermann.codePA]
f:69 [binder, in hydras.Prelude.Iterates]
f:69 [binder, in hydras.Ackermann.LNN2LNT]
f:69 [binder, in hydras.Ackermann.fol]
f:69 [binder, in Goedel.rosser]
f:69 [binder, in hydras.Ackermann.codePA]
f:7 [binder, in hydras.Epsilon0.Epsilon0rpo]
f:7 [binder, in hydras.Epsilon0.Large_Sets]
f:7 [binder, in hydras.Ackermann.wellFormed]
f:7 [binder, in Goedel.goedel1]
f:7 [binder, in Goedel.rosser]
f:7 [binder, in hydras.Ackermann.codePA]
f:7 [binder, in Goedel.goedel2]
f:7 [binder, in hydras.Ackermann.expressible]
f:70 [binder, in Goedel.rosser]
f:70 [binder, in gaia_hydras.nfwfgaia]
f:70 [binder, in hydras.Ackermann.codePA]
f:70 [binder, in hydras.MoreAck.PrimRecExamples]
f:71 [binder, in hydras.Ackermann.LNN]
f:71 [binder, in hydras.Ackermann.LNT]
f:71 [binder, in hydras.Schutte.PartialFun]
f:71 [binder, in hydras.Ackermann.folLogic]
f:72 [binder, in hydras.MoreAck.AckNotPR]
f:72 [binder, in hydras.Ackermann.codePA]
f:73 [binder, in hydras.Prelude.Iterates]
f:73 [binder, in hydras.Prelude.Sort_spec]
f:73 [binder, in hydras.MoreAck.AckNotPR]
f:73 [binder, in hydras.Ackermann.codeSubFormula]
f:73 [binder, in gaia_hydras.nfwfgaia]
f:73 [binder, in hydras.Ackermann.codePA]
f:73 [binder, in hydras.MoreAck.PrimRecExamples]
f:731 [binder, in hydras.Ackermann.checkPrf]
f:74 [binder, in hydras.Ackermann.LNN]
f:74 [binder, in hydras.Ackermann.LNT]
f:74 [binder, in hydras.Ackermann.folProp]
f:74 [binder, in hydras.MoreAck.AckNotPR]
f:74 [binder, in hydras.Ackermann.primRec]
f:74 [binder, in hydras.Ackermann.folLogic]
f:75 [binder, in Goedel.codeSysPrf]
f:75 [binder, in hydras.rpo.list_permut]
f:75 [binder, in Goedel.rosser]
f:75 [binder, in hydras.Ackermann.codePA]
f:75 [binder, in hydras.Prelude.MoreVectors]
f:76 [binder, in hydras.Ackermann.model]
f:76 [binder, in hydras.Ackermann.folLogic3]
f:77 [binder, in hydras.Prelude.Iterates]
f:77 [binder, in hydras.Ackermann.LNN]
f:77 [binder, in hydras.Ackermann.LNT]
f:77 [binder, in additions.Euclidean_Chains]
f:77 [binder, in gaia_hydras.nfwfgaia]
f:77 [binder, in hydras.Ackermann.codePA]
f:78 [binder, in hydras.MoreAck.AckNotPR]
f:78 [binder, in hydras.Ackermann.folLogic]
f:78 [binder, in hydras.rpo.list_permut]
f:78 [binder, in hydras.MoreAck.PrimRecExamples]
f:79 [binder, in Goedel.PRrepresentable]
f:79 [binder, in hydras.Ackermann.model]
f:79 [binder, in hydras.Ackermann.codeSubFormula]
f:79 [binder, in hydras.Ackermann.codePA]
f:8 [binder, in hydras.Ackermann.folProof]
F:8 [binder, in hydras.MoreAck.BadSubst]
f:8 [binder, in hydras.Prelude.Iterates]
f:8 [binder, in hydras.Ackermann.checkPrf]
f:8 [binder, in Goedel.rosserPA]
f:8 [binder, in hydras.Ackermann.folLogic]
f:8 [binder, in gaia_hydras.onType]
f:8 [binder, in hydras.Schutte.Well_Orders]
f:8 [binder, in Goedel.codeSysPrf]
f:80 [binder, in hydras.Ackermann.LNN]
f:80 [binder, in hydras.Schutte.Ordering_Functions]
f:80 [binder, in gaia_hydras.nfwfgaia]
f:81 [binder, in hydras.Prelude.Iterates]
f:81 [binder, in hydras.Ackermann.LNT]
f:81 [binder, in Goedel.codeSysPrf]
f:81 [binder, in hydras.Ackermann.codePA]
f:82 [binder, in hydras.Ackermann.folLogic]
f:82 [binder, in hydras.MoreAck.PrimRecExamples]
f:821 [binder, in hydras.Ackermann.checkPrf]
f:822 [binder, in hydras.Ackermann.primRec]
f:823 [binder, in hydras.Ackermann.checkPrf]
f:825 [binder, in hydras.Ackermann.checkPrf]
f:825 [binder, in hydras.Ackermann.primRec]
f:827 [binder, in hydras.Ackermann.checkPrf]
f:829 [binder, in hydras.Ackermann.checkPrf]
f:83 [binder, in hydras.MoreAck.AckNotPR]
f:83 [binder, in Goedel.codeSysPrf]
f:83 [binder, in hydras.Ackermann.codePA]
f:831 [binder, in hydras.Ackermann.checkPrf]
f:833 [binder, in hydras.Ackermann.checkPrf]
f:836 [binder, in hydras.Ackermann.checkPrf]
f:84 [binder, in hydras.Ackermann.LNN]
f:84 [binder, in hydras.Ackermann.LNT]
f:846 [binder, in hydras.Ackermann.checkPrf]
f:85 [binder, in hydras.Ackermann.folProp]
f:85 [binder, in hydras.Ackermann.folLogic]
f:85 [binder, in hydras.Epsilon0.Hprime]
f:85 [binder, in hydras.Ackermann.codePA]
f:859 [binder, in hydras.Ackermann.checkPrf]
f:86 [binder, in hydras.Ackermann.subAll]
f:864 [binder, in hydras.Ackermann.checkPrf]
f:87 [binder, in hydras.Prelude.Iterates]
f:87 [binder, in hydras.Ackermann.LNN]
f:87 [binder, in hydras.Ackermann.model]
f:87 [binder, in hydras.Ackermann.primRec]
f:87 [binder, in Goedel.codeSysPrf]
F:87 [binder, in hydras.Epsilon0.Hprime]
f:87 [binder, in hydras.Ackermann.codePA]
f:874 [binder, in gaia_hydras.nfwfgaia]
f:877 [binder, in hydras.Ackermann.checkPrf]
f:88 [binder, in hydras.Ackermann.LNT]
f:880 [binder, in hydras.Ackermann.checkPrf]
f:89 [binder, in hydras.Ackermann.folLogic]
f:89 [binder, in hydras.Ackermann.codePA]
f:9 [binder, in hydras.Ackermann.folLogic2]
f:9 [binder, in hydras.Prelude.Sort_spec]
f:9 [binder, in hydras.Ackermann.folProp]
f:9 [binder, in hydras.Ackermann.Deduction]
f:9 [binder, in Goedel.goedel1]
f:9 [binder, in Goedel.rosser]
f:9 [binder, in hydras.Ackermann.codePA]
f:9 [binder, in Goedel.goedel2]
f:9 [binder, in hydras.Ackermann.expressible]
f:90 [binder, in hydras.Ackermann.subProp]
f:90 [binder, in hydras.Ackermann.fol]
f:91 [binder, in hydras.Ackermann.LNN]
f:91 [binder, in hydras.Ackermann.fol]
f:91 [binder, in hydras.Ackermann.folLogic]
f:91 [binder, in Goedel.codeSysPrf]
f:91 [binder, in hydras.Ackermann.codePA]
f:92 [binder, in hydras.Ackermann.subAll]
f:92 [binder, in hydras.Prelude.Iterates]
f:92 [binder, in hydras.Ackermann.LNT]
f:93 [binder, in hydras.Ackermann.codePA]
f:94 [binder, in hydras.Ackermann.folLogic]
f:940 [binder, in hydras.Ackermann.codeSubFormula]
f:943 [binder, in hydras.Ackermann.codeSubFormula]
f:946 [binder, in hydras.Ackermann.codeSubFormula]
f:949 [binder, in hydras.Ackermann.codeSubFormula]
f:95 [binder, in hydras.Ackermann.LNN]
f:95 [binder, in hydras.Ackermann.LNT]
f:95 [binder, in hydras.Ackermann.codePA]
f:952 [binder, in hydras.Ackermann.codeSubFormula]
f:955 [binder, in hydras.Ackermann.codeSubFormula]
f:958 [binder, in hydras.Ackermann.codeSubFormula]
f:96 [binder, in hydras.Ackermann.LNN2LNT]
f:96 [binder, in hydras.Ackermann.folProp]
f:961 [binder, in hydras.Ackermann.codeSubFormula]
f:964 [binder, in hydras.Ackermann.codeSubFormula]
f:967 [binder, in hydras.Ackermann.codeSubFormula]
f:97 [binder, in hydras.Ackermann.folLogic]
f:97 [binder, in hydras.Ackermann.folReplace]
f:97 [binder, in hydras.Ackermann.codePA]
f:970 [binder, in hydras.Ackermann.codeSubFormula]
f:973 [binder, in hydras.Ackermann.codeSubFormula]
f:976 [binder, in hydras.Ackermann.codeSubFormula]
f:979 [binder, in hydras.Ackermann.codeSubFormula]
f:98 [binder, in hydras.Prelude.Iterates]
f:98 [binder, in hydras.Ackermann.LNN]
f:980 [binder, in hydras.Ackermann.codeSubFormula]
f:981 [binder, in hydras.Ackermann.codeSubFormula]
f:984 [binder, in hydras.Ackermann.codeSubFormula]
f:987 [binder, in hydras.Ackermann.codeSubFormula]
f:99 [binder, in hydras.Ackermann.LNT]
f:99 [binder, in hydras.Ackermann.codePA]
f:990 [binder, in hydras.Ackermann.codeSubFormula]
f:993 [binder, in hydras.Ackermann.codeSubFormula]
f:996 [binder, in hydras.Ackermann.codeSubFormula]
f:999 [binder, in hydras.Ackermann.codeSubFormula]

G

g [definition, in hydras.OrdinalNotations.Example_3PlusOmega]
g [axiom, in hydras.Prelude.LibHyps_Experiments]
G [definition, in Goedel.goedel1]
g [definition, in hydras.Schutte.Ordering_Functions]
G [definition, in Goedel.goedel2]
GaiaToHydra [library]
Gamma [section, in additions.AM]
Gamma [section, in additions.Euclidean_Chains]
gammaA:295 [binder, in additions.Addition_Chains]
gammaB:296 [binder, in additions.Addition_Chains]
gamma_gt [projection, in additions.Strategies]
gamma_lt [projection, in additions.Strategies]
gamma_ [definition, in hydras.Schutte.Critical]
gamma_nat:204 [binder, in additions.Addition_Chains]
gamma_positive [lemma, in hydras.Epsilon0.Paths]
gamma':140 [binder, in hydras.Gamma0.Gamma0]
gamma':161 [binder, in hydras.Gamma0.Gamma0]
Gamma.All_OK.c [variable, in additions.AM]
Gamma.All_OK.n [variable, in additions.AM]
Gamma.All_OK [section, in additions.AM]
Gamma.gamma [variable, in additions.AM]
Gamma.gamma [variable, in additions.Euclidean_Chains]
Gamma0 [definition, in hydras.Schutte.Critical]
Gamma0 [module, in gaia_hydras.nfwfgaia]
Gamma0 [library]
Gamma0_rpo [module, in hydras.Gamma0.Gamma0]
Gamma0_alg [module, in hydras.Gamma0.Gamma0]
Gamma0_prec.prec_transitive [lemma, in hydras.Gamma0.Gamma0]
Gamma0_prec.prec_antisym [lemma, in hydras.Gamma0.Gamma0]
Gamma0_prec.prec_dec [lemma, in hydras.Gamma0.Gamma0]
Gamma0_prec.status [definition, in hydras.Gamma0.Gamma0]
Gamma0_prec.Mul [constructor, in hydras.Gamma0.Gamma0]
Gamma0_prec.Lex [constructor, in hydras.Gamma0.Gamma0]
Gamma0_prec.status_type [inductive, in hydras.Gamma0.Gamma0]
Gamma0_prec.prec [definition, in hydras.Gamma0.Gamma0]
Gamma0_prec.A [definition, in hydras.Gamma0.Gamma0]
Gamma0_prec [module, in hydras.Gamma0.Gamma0]
Gamma0_sig.arity [definition, in hydras.Gamma0.Gamma0]
Gamma0_sig.Free [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.C [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.AC [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.arity_type [inductive, in hydras.Gamma0.Gamma0]
Gamma0_sig.eq_symbol_dec [lemma, in hydras.Gamma0.Gamma0]
Gamma0_sig.symb [definition, in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_cons [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_psi [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_zero [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.nat_S [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.nat_0 [constructor, in hydras.Gamma0.Gamma0]
Gamma0_sig.symb0 [inductive, in hydras.Gamma0.Gamma0]
Gamma0_sig [module, in hydras.Gamma0.Gamma0]
Gamma0.add_le4 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_le3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_inj [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_le2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_le1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_to_cons [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_fin_omega [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add_int [lemma, in gaia_hydras.nfwfgaia]
Gamma0.add1Nfin [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_pr4 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_pr3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_pr2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_pr1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_limit [lemma, in gaia_hydras.nfwfgaia]
Gamma0.ap_pr0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.CompareT2Eq [constructor, in gaia_hydras.nfwfgaia]
Gamma0.CompareT2Gt [constructor, in gaia_hydras.nfwfgaia]
Gamma0.CompareT2Lt [constructor, in gaia_hydras.nfwfgaia]
Gamma0.compare_T2 [inductive, in gaia_hydras.nfwfgaia]
Gamma0.cons [constructor, in gaia_hydras.nfwfgaia]
Gamma0.epsilon0 [definition, in gaia_hydras.nfwfgaia]
Gamma0.le_succ_succE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.le_succ_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.limit_pr [lemma, in gaia_hydras.nfwfgaia]
Gamma0.limit_pr1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_4 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_succE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_tail [lemma, in gaia_hydras.nfwfgaia]
Gamma0.lt_psi [definition, in gaia_hydras.nfwfgaia]
Gamma0.lt_rec [definition, in gaia_hydras.nfwfgaia]
Gamma0.minus_le [lemma, in gaia_hydras.nfwfgaia]
Gamma0.minus_lt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_phi [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_add [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_sub [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_pred [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_split [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_finite [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_one [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_omega [lemma, in gaia_hydras.nfwfgaia]
Gamma0.nf_psi [lemma, in gaia_hydras.nfwfgaia]
Gamma0.no_critical [lemma, in gaia_hydras.nfwfgaia]
Gamma0.omega [definition, in gaia_hydras.nfwfgaia]
Gamma0.omega_minus_one [lemma, in gaia_hydras.nfwfgaia]
Gamma0.omega_least_inf2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.omega_least_inf1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.omega_lt_epsilon0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.one [definition, in gaia_hydras.nfwfgaia]
Gamma0.phi [definition, in gaia_hydras.nfwfgaia]
Gamma0.phi_inv3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_inv2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_inv0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_ltE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_eqE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_inj1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_inj [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_c [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_b [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_a [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_inv1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_ab_le2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_ab_le1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4c [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4b [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4a [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_spec1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_principalR [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_cases [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_fix2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_fix1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_le3 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_le2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_le1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.phi_ap [lemma, in gaia_hydras.nfwfgaia]
Gamma0.pred_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.pred_lt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.pred_le [lemma, in gaia_hydras.nfwfgaia]
Gamma0.psi [definition, in gaia_hydras.nfwfgaia]
Gamma0.psi_phi1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.psi_phi [definition, in gaia_hydras.nfwfgaia]
Gamma0.psi_phi_aux [definition, in gaia_hydras.nfwfgaia]
Gamma0.psi_lt2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.psi_lt1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.size [definition, in gaia_hydras.nfwfgaia]
Gamma0.size_prop [lemma, in gaia_hydras.nfwfgaia]
Gamma0.size_prop1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_add [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_le [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_pred [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_is_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_limit [lemma, in gaia_hydras.nfwfgaia]
Gamma0.split_finite [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_pr1r [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_nz [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_pr1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_pr [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_le1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub_int [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub1a [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub1b [lemma, in gaia_hydras.nfwfgaia]
Gamma0.sub1Nfin [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_is_add_one [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_psi_lt2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_psi_lt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_psi [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_nz [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_inj [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_p1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_pred [lemma, in gaia_hydras.nfwfgaia]
Gamma0.succ_lt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T1succ_nat [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T1T2 [definition, in gaia_hydras.nfwfgaia]
Gamma0.T1T2range1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T1T2range2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T1T2_inc [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T1T2_inj [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2 [inductive, in gaia_hydras.nfwfgaia]
Gamma0.T2add [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2addA [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2addn0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2add_eq0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2add0n [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ap [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2eq [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2eqE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2eqP [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2eq_add2l [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2eq_le [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2finite [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2finite_succ [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2finite1 [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2finite2 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2GeqNotGtn [constructor, in gaia_hydras.nfwfgaia]
Gamma0.T2GeqNotLtn [constructor, in gaia_hydras.nfwfgaia]
Gamma0.T2ge1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2GtnNotLeq [constructor, in gaia_hydras.nfwfgaia]
Gamma0.T2gt1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2is_succ [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2le [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2leNgt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lenn [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2len0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2leP [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2leq_xor_gtn [inductive, in gaia_hydras.nfwfgaia]
Gamma0.T2le_add2r [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_add2l [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_psi_b [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_psi1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_trans [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_lt_trans [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_total [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_eqVlt [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le_consE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2le0n [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2limit [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2lt [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2lta [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2ltE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ltgtP [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ltNge [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ltnn [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2LtnNotGeq [constructor, in gaia_hydras.nfwfgaia]
Gamma0.T2ltn_xor_geq [inductive, in gaia_hydras.nfwfgaia]
Gamma0.T2ltn0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ltP [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2ltW [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_add2r [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_add2l [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_a [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_b [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_le_trans [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_trans [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_aux [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_trichotomy [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_anti [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_neAle [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_ne' [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_ne [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_consE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt0n [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2lt1 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2nat [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2nat_inc [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2nf [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2nf_finite [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2nf_consE [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2nf_cons_cons [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2pred [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2split [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2sub [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2subnn [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2subn0 [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2sub0n [lemma, in gaia_hydras.nfwfgaia]
Gamma0.T2succ [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2_pr2 [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2_pr1 [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2_eqType [definition, in gaia_hydras.nfwfgaia]
Gamma0.T2_eqMixin [definition, in gaia_hydras.nfwfgaia]
Gamma0.zero [constructor, in gaia_hydras.nfwfgaia]
_ - _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
_ + _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
_ > _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
_ >= _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
_ <= _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
_ < _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
\F _ (g0_scope) [notation, in gaia_hydras.nfwfgaia]
[ _ , _ ] (g0_scope) [notation, in gaia_hydras.nfwfgaia]
gamma0:544 [binder, in hydras.Gamma0.Gamma0]
gamma1 [definition, in hydras.OrdinalNotations.ON_Finite]
gamma1:34 [binder, in hydras.Gamma0.T2]
gamma1:41 [binder, in hydras.Gamma0.T2]
gamma1:49 [binder, in hydras.Gamma0.T2]
gamma1:56 [binder, in hydras.Gamma0.T2]
gamma1:62 [binder, in hydras.Gamma0.T2]
gamma1:67 [binder, in hydras.Gamma0.T2]
gamma2:35 [binder, in hydras.Gamma0.T2]
gamma2:42 [binder, in hydras.Gamma0.T2]
gamma2:50 [binder, in hydras.Gamma0.T2]
gamma2:57 [binder, in hydras.Gamma0.T2]
gamma2:63 [binder, in hydras.Gamma0.T2]
gamma2:68 [binder, in hydras.Gamma0.T2]
gamma:1 [binder, in additions.Strategies]
gamma:10 [binder, in hydras.Schutte.AP]
gamma:102 [binder, in hydras.Gamma0.T2]
gamma:111 [binder, in hydras.Epsilon0.Hessenberg]
gamma:112 [binder, in hydras.Epsilon0.T1]
gamma:114 [binder, in hydras.Epsilon0.Hessenberg]
gamma:117 [binder, in hydras.Epsilon0.Paths]
gamma:12 [binder, in hydras.Schutte.Critical]
gamma:122 [binder, in hydras.Epsilon0.E0]
gamma:122 [binder, in hydras.Epsilon0.Paths]
gamma:125 [binder, in hydras.Epsilon0.Paths]
gamma:126 [binder, in hydras.Gamma0.Gamma0]
gamma:129 [binder, in hydras.Gamma0.Gamma0]
gamma:13 [binder, in hydras.Schutte.Correctness_E0]
gamma:131 [binder, in hydras.Epsilon0.Paths]
gamma:132 [binder, in hydras.Gamma0.Gamma0]
gamma:136 [binder, in hydras.Gamma0.Gamma0]
gamma:138 [binder, in hydras.Epsilon0.Paths]
gamma:144 [binder, in hydras.Epsilon0.Paths]
gamma:15 [binder, in hydras.solutions_exercises.predSuccUnicity]
gamma:150 [binder, in hydras.Gamma0.Gamma0]
gamma:156 [binder, in hydras.Gamma0.Gamma0]
gamma:160 [binder, in hydras.Gamma0.Gamma0]
gamma:162 [binder, in hydras.Gamma0.Gamma0]
gamma:167 [binder, in hydras.Epsilon0.Paths]
gamma:17 [binder, in hydras.Schutte.Correctness_E0]
gamma:172 [binder, in hydras.Epsilon0.Paths]
gamma:179 [binder, in hydras.Gamma0.Gamma0]
gamma:18 [binder, in hydras.solutions_exercises.predSuccUnicity]
gamma:18 [binder, in hydras.Epsilon0.Paths]
gamma:19 [binder, in hydras.solutions_exercises.Limit_Infinity]
gamma:20 [binder, in hydras.Gamma0.Gamma0]
gamma:203 [binder, in additions.Addition_Chains]
gamma:216 [binder, in hydras.Epsilon0.Paths]
gamma:22 [binder, in hydras.solutions_exercises.Limit_Infinity]
gamma:220 [binder, in hydras.Epsilon0.Paths]
gamma:23 [binder, in additions.Fib2]
gamma:25 [binder, in gaia_hydras.GCanon]
gamma:250 [binder, in hydras.Epsilon0.Paths]
gamma:26 [binder, in hydras.Schutte.Addition]
gamma:27 [binder, in hydras.Gamma0.T2]
gamma:298 [binder, in hydras.Epsilon0.Paths]
gamma:302 [binder, in hydras.Epsilon0.Paths]
gamma:309 [binder, in hydras.Epsilon0.Paths]
gamma:31 [binder, in hydras.Schutte.Addition]
gamma:315 [binder, in hydras.Epsilon0.T1]
gamma:33 [binder, in hydras.Epsilon0.Paths]
gamma:339 [binder, in hydras.Epsilon0.T1]
gamma:34 [binder, in hydras.Schutte.Correctness_E0]
gamma:34 [binder, in hydras.Epsilon0.Canon]
gamma:34 [binder, in hydras.Schutte.Addition]
gamma:342 [binder, in hydras.Epsilon0.T1]
gamma:35 [binder, in hydras.Epsilon0.Canon]
gamma:36 [binder, in hydras.Schutte.Correctness_E0]
gamma:38 [binder, in hydras.Schutte.Correctness_E0]
gamma:38 [binder, in hydras.Epsilon0.Canon]
gamma:39 [binder, in gaia_hydras.GCanon]
gamma:396 [binder, in hydras.Epsilon0.T1]
gamma:40 [binder, in hydras.Schutte.Correctness_E0]
gamma:40 [binder, in hydras.Epsilon0.Canon]
gamma:44 [binder, in hydras.Schutte.Addition]
gamma:468 [binder, in hydras.Epsilon0.Paths]
gamma:47 [binder, in hydras.Schutte.Addition]
gamma:48 [binder, in hydras.Schutte.Addition]
gamma:498 [binder, in hydras.Gamma0.Gamma0]
gamma:50 [binder, in hydras.Schutte.CNF]
gamma:50 [binder, in hydras.Schutte.Addition]
gamma:509 [binder, in hydras.Epsilon0.Paths]
gamma:51 [binder, in hydras.Schutte.Addition]
gamma:513 [binder, in hydras.Epsilon0.Paths]
gamma:513 [binder, in hydras.Gamma0.Gamma0]
gamma:516 [binder, in hydras.Gamma0.Gamma0]
gamma:519 [binder, in hydras.Epsilon0.Paths]
gamma:52 [binder, in hydras.Schutte.Addition]
gamma:54 [binder, in hydras.Epsilon0.Hessenberg]
gamma:542 [binder, in hydras.Epsilon0.Paths]
gamma:545 [binder, in hydras.Gamma0.Gamma0]
gamma:58 [binder, in hydras.Hydra.O2H]
gamma:58 [binder, in hydras.Schutte.Addition]
gamma:581 [binder, in hydras.Epsilon0.Paths]
gamma:584 [binder, in hydras.Epsilon0.T1]
gamma:59 [binder, in hydras.Epsilon0.Hessenberg]
gamma:590 [binder, in hydras.Epsilon0.T1]
gamma:60 [binder, in hydras.Hydra.O2H]
gamma:60 [binder, in hydras.Epsilon0.Hessenberg]
gamma:61 [binder, in hydras.Schutte.Addition]
gamma:627 [binder, in hydras.Gamma0.Gamma0]
gamma:63 [binder, in hydras.Hydra.O2H]
gamma:631 [binder, in hydras.Gamma0.Gamma0]
gamma:637 [binder, in hydras.Epsilon0.T1]
gamma:643 [binder, in hydras.Gamma0.Gamma0]
gamma:660 [binder, in hydras.Gamma0.Gamma0]
gamma:663 [binder, in hydras.Gamma0.Gamma0]
gamma:67 [binder, in hydras.Epsilon0.Hessenberg]
gamma:676 [binder, in hydras.Epsilon0.T1]
gamma:68 [binder, in hydras.Schutte.AP]
gamma:693 [binder, in hydras.Gamma0.Gamma0]
gamma:7 [binder, in additions.Strategies]
gamma:72 [binder, in hydras.OrdinalNotations.ON_Omega2]
gamma:74 [binder, in hydras.Schutte.Critical]
gamma:82 [binder, in hydras.Hydra.O2H]
gamma:82 [binder, in hydras.Epsilon0.Hessenberg]
gamma:82 [binder, in hydras.Epsilon0.E0]
gamma:85 [binder, in hydras.Epsilon0.E0]
gamma:91 [binder, in hydras.Epsilon0.Canon]
gamma:96 [binder, in hydras.Epsilon0.E0]
gamma:97 [binder, in hydras.Epsilon0.Canon]
GCanon [library]
gcanon_limit_v2 [lemma, in gaia_hydras.GCanon]
gcanon_zero [lemma, in gaia_hydras.GCanon]
gcons [constructor, in hydras.Gamma0.T2]
gcons_lt_e0 [constructor, in hydras.Gamma0.T2]
gcons_nf [constructor, in hydras.Gamma0.T2]
ge [definition, in hydras.Schutte.Schutte_basics]
GEN [constructor, in hydras.Ackermann.folProof]
General_Relations.elagage.to_nat_elagage.R [variable, in hydras.Schutte.GRelations]
General_Relations.elagage.to_nat_elagage [section, in hydras.Schutte.GRelations]
General_Relations.elagage [section, in hydras.Schutte.GRelations]
General_Relations.surjection2injection.R_surj [variable, in hydras.Schutte.GRelations]
General_Relations.surjection2injection.R [variable, in hydras.Schutte.GRelations]
General_Relations.surjection2injection [section, in hydras.Schutte.GRelations]
General_Relations.injection2surjection.R_inj [variable, in hydras.Schutte.GRelations]
General_Relations.injection2surjection.R [variable, in hydras.Schutte.GRelations]
General_Relations.injection2surjection [section, in hydras.Schutte.GRelations]
General_Relations.DB [variable, in hydras.Schutte.GRelations]
General_Relations.DA [variable, in hydras.Schutte.GRelations]
General_Relations.B [variable, in hydras.Schutte.GRelations]
General_Relations.A [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions.R [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions.DB [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions.DA [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions.B [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions.A [variable, in hydras.Schutte.GRelations]
General_Relations.Definitions [section, in hydras.Schutte.GRelations]
General_Relations [section, in hydras.Schutte.GRelations]
Generic [section, in hydras.Prelude.Merge_Sort]
Generic.A [variable, in hydras.Prelude.Merge_Sort]
Generic.Merging [section, in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness [section, in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split_permutation [variable, in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split_decr [variable, in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split [variable, in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort [section, in hydras.Prelude.Merge_Sort]
Generic.Merging.le [variable, in hydras.Prelude.Merge_Sort]
_ <= _ [notation, in hydras.Prelude.Merge_Sort]
Generic.Splitting [section, in hydras.Prelude.Merge_Sort]
gen_K [constructor, in additions.Euclidean_Chains]
gen_F [constructor, in additions.Euclidean_Chains]
gen:219 [binder, in additions.Addition_Chains]
get_decomposition [definition, in hydras.Epsilon0.T1]
get_predecessor [lemma, in hydras.Prelude.More_Arith]
ge_omega_iff [lemma, in hydras.solutions_exercises.ge_omega_iff]
ge_zero [lemma, in hydras.Schutte.Addition]
ge_o_segment [lemma, in hydras.Schutte.Addition]
ge_omega_iff [library]
gE0le_iff [lemma, in gaia_hydras.T1Bridge]
gE0lt_wf [lemma, in gaia_hydras.T1Bridge]
gE0lt_iff [lemma, in gaia_hydras.T1Bridge]
gE0_eq_intro [lemma, in gaia_hydras.T1Bridge]
GF_alpha [library]
GHessenberg [library]
GHprime [library]
GHydra [library]
GLarge_Sets [library]
GL_alpha [library]
gnaw [definition, in gaia_hydras.GPaths]
Gnaw [definition, in hydras.Epsilon0.Large_Sets]
gnaw [definition, in hydras.Epsilon0.Paths]
gnawS [definition, in gaia_hydras.GPaths]
GnawS [definition, in hydras.Epsilon0.Large_Sets]
gnawS [definition, in hydras.Epsilon0.Paths]
GnawS_omega [lemma, in hydras.Epsilon0.Large_Sets]
GnawS_Gnaw [lemma, in hydras.Epsilon0.Large_Sets]
gnawS_path_toS [lemma, in hydras.Epsilon0.Paths]
gnawS_cut2 [lemma, in hydras.Epsilon0.Paths]
gnawS_cut1 [lemma, in hydras.Epsilon0.Paths]
gnawS_SSn [lemma, in hydras.Epsilon0.Paths]
gnawS_tail [lemma, in hydras.Epsilon0.Paths]
gnawS_succ_eqn2 [lemma, in hydras.Epsilon0.Paths]
gnawS_succ_eqn1 [lemma, in hydras.Epsilon0.Paths]
gnawS_lim2 [lemma, in hydras.Epsilon0.Paths]
gnawS_lim1 [lemma, in hydras.Epsilon0.Paths]
gnaws_rw [lemma, in hydras.Epsilon0.Paths]
gnawS_app [lemma, in hydras.Epsilon0.Paths]
gnawS_to_path_toS [lemma, in hydras.Epsilon0.Paths]
gnawS_nf [lemma, in hydras.Epsilon0.Paths]
gnawS_zero [lemma, in hydras.Epsilon0.Paths]
gnawS_gnaw [lemma, in hydras.Epsilon0.Paths]
gnaw_omega_1 [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_omega_n_SSn [lemma, in hydras.Epsilon0.Large_Sets]
Gnaw_omega [lemma, in hydras.Epsilon0.Large_Sets]
Gnaw_GnawS [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_last_step [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_n_R [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_finite [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_finite_1 [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_finite_1_iota [lemma, in hydras.Epsilon0.Large_Sets]
gnaw_path_to [lemma, in hydras.Epsilon0.Paths]
gnaw_app [lemma, in hydras.Epsilon0.Paths]
gnaw_to_path_to [lemma, in hydras.Epsilon0.Paths]
gnaw_rw [lemma, in hydras.Epsilon0.Paths]
gnaw_succ [lemma, in hydras.Epsilon0.Paths]
gnaw_zero [lemma, in hydras.Epsilon0.Paths]
gnaw_nf [lemma, in hydras.Epsilon0.Paths]
gnaw_gnawS [lemma, in hydras.Epsilon0.Paths]
Goedel'sIncompleteness1st [lemma, in Goedel.goedel1]
Goedel's_1st_Incompleteness.expressT2 [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.expressT1 [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.freeVarRepT [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.v0 [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.repT [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.extendsNN [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness.T [variable, in Goedel.goedel1]
Goedel's_1st_Incompleteness [section, in Goedel.goedel1]
Goedel's_2nd_Incompleteness.HBL3 [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.HBL2 [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.Goedel1PA [section, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.expressT2 [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.expressT1 [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.freeVarRepT [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.v0 [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.repT [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.extendsPA [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness.T [variable, in Goedel.goedel2]
Goedel's_2nd_Incompleteness [section, in Goedel.goedel2]
goedel1 [library]
goedel2 [library]
go:159 [binder, in hydras.Hydra.Hydra_Lemmas]
GPaths [library]
GPrelude [library]
gP:26 [binder, in gaia_hydras.T1Bridge]
grec:79 [binder, in hydras.Ackermann.folProp]
GRelation [definition, in hydras.Schutte.GRelations]
GRelations [library]
gR:29 [binder, in gaia_hydras.T1Bridge]
GS [lemma, in Goedel.goedel2]
gstrict_lub [definition, in gaia_hydras.T1Bridge]
gs:37 [binder, in hydras.MoreAck.AckNotPR]
gtail [definition, in hydras.Gamma0.T2]
gtIsPR [instance, in hydras.Ackermann.primRec]
g_bij:91 [binder, in hydras.Schutte.PartialFun]
g_bij:85 [binder, in hydras.Schutte.PartialFun]
g_1_of [lemma, in hydras.Schutte.Ordering_Functions]
g_1_bij [lemma, in hydras.Schutte.Ordering_Functions]
g_bij [lemma, in hydras.Schutte.Ordering_Functions]
g_mono [lemma, in hydras.Schutte.Ordering_Functions]
g_lemma [lemma, in hydras.Schutte.Ordering_Functions]
g_def [lemma, in hydras.Schutte.Ordering_Functions]
g_beta':130 [binder, in hydras.Schutte.Ordering_Functions]
g_beta:129 [binder, in hydras.Schutte.Ordering_Functions]
g_unic [lemma, in hydras.Schutte.Ordering_Functions]
g_beta:128 [binder, in hydras.Schutte.Ordering_Functions]
g_def1 [lemma, in hydras.Schutte.Ordering_Functions]
g_l':275 [binder, in hydras.rpo.rpo]
G0 [module, in hydras.Gamma0.Gamma0]
G0.compare_correct [lemma, in hydras.Gamma0.Gamma0]
G0.compare_G0 [instance, in hydras.Gamma0.Gamma0]
G0.Ex42 [definition, in hydras.Gamma0.Gamma0]
G0.Finite [instance, in hydras.Gamma0.Gamma0]
G0.Gamma0 [instance, in hydras.Gamma0.Gamma0]
G0.Gamma0_comp [instance, in hydras.Gamma0.Gamma0]
G0.G0 [record, in hydras.Gamma0.Gamma0]
G0.le [definition, in hydras.Gamma0.Gamma0]
G0.lt [definition, in hydras.Gamma0.Gamma0]
G0.LT [definition, in hydras.Gamma0.Gamma0]
G0.lt_wf [lemma, in hydras.Gamma0.Gamma0]
G0.lt_sto [instance, in hydras.Gamma0.Gamma0]
G0.lt_LT_incl [lemma, in hydras.Gamma0.Gamma0]
G0.Lt_wf [lemma, in hydras.Gamma0.Gamma0]
G0.mkg0 [constructor, in hydras.Gamma0.Gamma0]
G0.nfb_proof_unicity [lemma, in hydras.Gamma0.Gamma0]
G0.nfb_equiv [lemma, in hydras.Gamma0.Gamma0]
G0.nfb_a [lemma, in hydras.Gamma0.Gamma0]
G0.omega [abbreviation, in hydras.Gamma0.Gamma0]
G0.Omega [instance, in hydras.Gamma0.Gamma0]
G0.phi [abbreviation, in hydras.Gamma0.Gamma0]
G0.Phi [instance, in hydras.Gamma0.Gamma0]
G0.phi0 [abbreviation, in hydras.Gamma0.Gamma0]
G0.Plus [instance, in hydras.Gamma0.Gamma0]
G0.vnf [projection, in hydras.Gamma0.Gamma0]
G0.vnf_ok [projection, in hydras.Gamma0.Gamma0]
G0.zero [instance, in hydras.Gamma0.Gamma0]
G0.zero_nfb [lemma, in hydras.Gamma0.Gamma0]
omega^ (g0_scope) [notation, in hydras.Gamma0.Gamma0]
_ + _ (g0_scope) [notation, in hydras.Gamma0.Gamma0]
g0:22 [binder, in hydras.Ackermann.Deduction]
g0:23 [binder, in hydras.Ackermann.Deduction]
g0:64 [binder, in hydras.MoreAck.AckNotPR]
g0:65 [binder, in hydras.MoreAck.AckNotPR]
g1:114 [binder, in hydras.Ackermann.primRec]
g1:117 [binder, in hydras.Ackermann.primRec]
g2h [definition, in gaia_hydras.T1Bridge]
g2h [definition, in gaia_hydras.T2Bridge]
g2h_canon [lemma, in gaia_hydras.GCanon]
g2h_seq [definition, in gaia_hydras.T1Bridge]
g2h_E0zero [lemma, in gaia_hydras.T1Bridge]
g2h_E0_succ [lemma, in gaia_hydras.T1Bridge]
g2h_succ [lemma, in gaia_hydras.T1Bridge]
g2h_plusE [lemma, in gaia_hydras.T1Bridge]
g2h_multE [lemma, in gaia_hydras.T1Bridge]
g2h_zero [lemma, in gaia_hydras.T1Bridge]
g2h_cons [lemma, in gaia_hydras.T1Bridge]
g2h_phi0 [lemma, in gaia_hydras.T1Bridge]
g2h_diffE [lemma, in gaia_hydras.T1Bridge]
g2h_eqE [lemma, in gaia_hydras.T1Bridge]
g2h_h2gK [lemma, in gaia_hydras.T1Bridge]
g2h_eqE [lemma, in gaia_hydras.T2Bridge]
g2h_h2gK [lemma, in gaia_hydras.T2Bridge]
g2:115 [binder, in hydras.Ackermann.primRec]
g2:118 [binder, in hydras.Ackermann.primRec]
g:10 [binder, in hydras.Ackermann.Deduction]
g:102 [binder, in hydras.Ackermann.LNT]
g:103 [binder, in hydras.Ackermann.folReplace]
g:104 [binder, in hydras.OrdinalNotations.ON_Generic]
g:105 [binder, in hydras.Ackermann.LNN]
g:105 [binder, in hydras.Ackermann.LNT]
g:108 [binder, in hydras.Ackermann.LNN]
g:108 [binder, in hydras.Ackermann.LNT]
g:108 [binder, in hydras.Ackermann.folReplace]
g:109 [binder, in hydras.Ackermann.folLogic]
g:110 [binder, in hydras.Ackermann.fol]
g:111 [binder, in hydras.Ackermann.LNN]
g:113 [binder, in hydras.Ackermann.folLogic]
g:116 [binder, in hydras.Ackermann.folLogic]
g:117 [binder, in hydras.Ackermann.fol]
g:117 [binder, in hydras.OrdinalNotations.ON_Generic]
g:119 [binder, in hydras.Ackermann.LNT]
g:12 [binder, in hydras.Ackermann.primRec]
g:12 [binder, in hydras.Ackermann.Deduction]
g:12 [binder, in hydras.Ackermann.folLogic]
g:121 [binder, in hydras.Ackermann.folLogic]
g:122 [binder, in hydras.Ackermann.LNN2LNT]
g:122 [binder, in hydras.Ackermann.LNN]
g:123 [binder, in hydras.Ackermann.LNT]
g:124 [binder, in hydras.Ackermann.folLogic]
g:126 [binder, in hydras.Ackermann.LNN]
g:126 [binder, in hydras.Ackermann.LNT]
g:127 [binder, in hydras.Ackermann.LNN2LNT]
g:129 [binder, in hydras.Ackermann.LNN]
g:13 [binder, in hydras.solutions_exercises.MinPR2]
g:13 [binder, in Goedel.rosser]
g:130 [binder, in hydras.Ackermann.LNN2LNT]
g:131 [binder, in hydras.Ackermann.LNT]
g:132 [binder, in hydras.Ackermann.LNN2LNT]
g:133 [binder, in Goedel.PRrepresentable]
g:133 [binder, in hydras.Ackermann.LNN2LNT]
g:134 [binder, in hydras.Ackermann.LNN2LNT]
g:134 [binder, in hydras.Ackermann.LNN]
g:134 [binder, in hydras.Ackermann.LNT]
g:134 [binder, in hydras.Ackermann.subProp]
g:135 [binder, in hydras.Ackermann.LNN2LNT]
g:137 [binder, in hydras.Ackermann.LNN]
g:14 [binder, in hydras.Epsilon0.Epsilon0rpo]
g:14 [binder, in Goedel.rosser]
G:14 [binder, in hydras.MoreAck.FolExamples]
g:141 [binder, in hydras.Ackermann.codePA]
g:141 [binder, in hydras.rpo.rpo]
g:142 [binder, in hydras.Ackermann.LNN2LNT]
g:143 [binder, in hydras.OrdinalNotations.ON_Generic]
g:144 [binder, in Goedel.PRrepresentable]
g:146 [binder, in hydras.Ackermann.LNN2LNT]
g:149 [binder, in hydras.Ackermann.codeSubFormula]
g:15 [binder, in hydras.Ackermann.Deduction]
g:15 [binder, in hydras.Ackermann.folLogic]
g:152 [binder, in hydras.Prelude.Iterates]
g:155 [binder, in Goedel.PRrepresentable]
g:156 [binder, in hydras.OrdinalNotations.ON_Generic]
g:16 [binder, in Goedel.rosserPA]
g:16 [binder, in Goedel.goedel2]
g:161 [binder, in hydras.Prelude.Iterates]
g:165 [binder, in hydras.Ackermann.primRec]
g:167 [binder, in hydras.Ackermann.model]
g:168 [binder, in hydras.Ackermann.model]
g:168 [binder, in hydras.OrdinalNotations.ON_Generic]
g:169 [binder, in hydras.Prelude.Iterates]
g:169 [binder, in hydras.Ackermann.model]
g:169 [binder, in hydras.Ackermann.codePA]
g:17 [binder, in Goedel.rosserPA]
g:172 [binder, in hydras.Ackermann.codePA]
g:173 [binder, in hydras.Ackermann.primRec]
g:174 [binder, in hydras.Prelude.Iterates]
g:178 [binder, in hydras.Ackermann.codeSubTerm]
g:178 [binder, in gaia_hydras.T1Bridge]
g:18 [binder, in Goedel.rosserPA]
g:18 [binder, in hydras.Ackermann.folLogic]
g:18 [binder, in Goedel.goedel1]
g:180 [binder, in hydras.OrdinalNotations.ON_Generic]
g:181 [binder, in hydras.Ackermann.codeSubTerm]
g:181 [binder, in gaia_hydras.T1Bridge]
g:181 [binder, in hydras.Ackermann.primRec]
g:184 [binder, in gaia_hydras.T1Bridge]
g:185 [binder, in hydras.Prelude.Iterates]
g:186 [binder, in hydras.Prelude.Iterates]
g:188 [binder, in hydras.Prelude.Iterates]
g:188 [binder, in gaia_hydras.T1Bridge]
g:19 [binder, in hydras.Ackermann.LNT]
g:19 [binder, in hydras.Schutte.Critical]
g:19 [binder, in Goedel.rosserPA]
g:19 [binder, in Goedel.goedel1]
g:19 [binder, in hydras.Ackermann.Languages]
g:192 [binder, in hydras.Prelude.Iterates]
g:192 [binder, in hydras.Ackermann.primRec]
g:193 [binder, in hydras.Prelude.Iterates]
g:193 [binder, in hydras.OrdinalNotations.ON_Generic]
g:195 [binder, in hydras.Prelude.Iterates]
g:199 [binder, in hydras.Prelude.Iterates]
g:20 [binder, in hydras.Ackermann.checkPrf]
g:20 [binder, in Goedel.goedel1]
g:20 [binder, in Goedel.goedel2]
g:201 [binder, in hydras.Prelude.Iterates]
g:203 [binder, in hydras.Ackermann.primRec]
g:204 [binder, in hydras.Prelude.Iterates]
g:205 [binder, in hydras.Ackermann.codeSubFormula]
g:21 [binder, in Goedel.goedel1]
g:2108 [binder, in gaia_hydras.nfwfgaia]
g:213 [binder, in hydras.Ackermann.codeSubFormula]
g:214 [binder, in hydras.Ackermann.primRec]
g:216 [binder, in hydras.Prelude.Iterates]
g:217 [binder, in hydras.Prelude.Iterates]
g:218 [binder, in hydras.Prelude.Iterates]
g:219 [binder, in hydras.Prelude.Iterates]
g:22 [binder, in hydras.Ackermann.LNN]
g:22 [binder, in hydras.Ackermann.LNT]
g:22 [binder, in Goedel.goedel1]
g:220 [binder, in hydras.Prelude.Iterates]
g:221 [binder, in additions.Addition_Chains]
g:223 [binder, in hydras.Prelude.Iterates]
g:227 [binder, in hydras.Prelude.Iterates]
g:229 [binder, in additions.Addition_Chains]
g:23 [binder, in Goedel.goedel1]
g:231 [binder, in hydras.Ackermann.primRec]
g:234 [binder, in hydras.Ackermann.wellFormed]
g:237 [binder, in hydras.Ackermann.wellFormed]
g:238 [binder, in additions.Addition_Chains]
g:24 [binder, in Goedel.rosserPA]
g:247 [binder, in hydras.Ackermann.primRec]
g:25 [binder, in hydras.Ackermann.LNN]
g:25 [binder, in hydras.Ackermann.LNT]
g:25 [binder, in Goedel.rosserPA]
g:25 [binder, in hydras.Ackermann.folLogic]
g:25 [binder, in Goedel.rosser]
g:25 [binder, in Goedel.goedel2]
g:252 [binder, in hydras.Ackermann.fol]
g:255 [binder, in hydras.Gamma0.Gamma0]
g:263 [binder, in hydras.Ackermann.primRec]
g:264 [binder, in hydras.Ackermann.cPair]
g:278 [binder, in hydras.rpo.rpo]
g:279 [binder, in hydras.rpo.rpo]
g:28 [binder, in hydras.Ackermann.LNN]
g:28 [binder, in hydras.Ackermann.LNT]
g:28 [binder, in hydras.Ackermann.folLogic]
g:284 [binder, in hydras.Ackermann.primRec]
g:29 [binder, in hydras.Prelude.Iterates]
g:297 [binder, in hydras.Ackermann.primRec]
g:302 [binder, in hydras.Ackermann.fol]
g:31 [binder, in hydras.Ackermann.LNN]
g:31 [binder, in hydras.Ackermann.folLogic]
g:31 [binder, in hydras.Schutte.Ordering_Functions]
g:31 [binder, in hydras.MoreAck.FolExamples]
g:320 [binder, in hydras.rpo.rpo]
g:321 [binder, in hydras.rpo.rpo]
g:326 [binder, in hydras.Ackermann.primRec]
g:327 [binder, in Goedel.PRrepresentable]
g:33 [binder, in hydras.Prelude.Iterates]
g:332 [binder, in Goedel.PRrepresentable]
g:337 [binder, in Goedel.PRrepresentable]
g:34 [binder, in hydras.Ackermann.folLogic]
g:34 [binder, in Goedel.codeSysPrf]
g:348 [binder, in hydras.Ackermann.primRec]
g:348 [binder, in hydras.Ackermann.fol]
g:35 [binder, in hydras.Prelude.Iterates]
g:352 [binder, in hydras.Ackermann.primRec]
g:357 [binder, in hydras.Ackermann.primRec]
g:36 [binder, in Goedel.rosserPA]
g:360 [binder, in hydras.Ackermann.primRec]
g:364 [binder, in hydras.Ackermann.primRec]
g:37 [binder, in hydras.Ackermann.LNT]
g:371 [binder, in hydras.Ackermann.primRec]
g:378 [binder, in hydras.Ackermann.primRec]
g:38 [binder, in hydras.Prelude.Iterates]
g:382 [binder, in hydras.Ackermann.primRec]
g:388 [binder, in hydras.Ackermann.primRec]
g:39 [binder, in hydras.MoreAck.AckNotPR]
g:39 [binder, in Goedel.rosserPA]
g:39 [binder, in hydras.Ackermann.folLogic]
g:392 [binder, in hydras.Ackermann.fol]
g:395 [binder, in hydras.Ackermann.primRec]
g:40 [binder, in hydras.Ackermann.LNN]
g:40 [binder, in hydras.Ackermann.LNT]
g:401 [binder, in hydras.Ackermann.primRec]
g:409 [binder, in hydras.Ackermann.primRec]
g:41 [binder, in hydras.Epsilon0.Large_Sets]
g:42 [binder, in hydras.Ackermann.code]
g:42 [binder, in Goedel.rosserPA]
g:426 [binder, in hydras.Ackermann.primRec]
g:43 [binder, in hydras.Ackermann.LNN]
g:43 [binder, in hydras.Ackermann.LNT]
g:43 [binder, in hydras.MoreAck.AckNotPR]
g:43 [binder, in hydras.Ackermann.folLogic]
g:431 [binder, in hydras.Ackermann.primRec]
g:438 [binder, in hydras.Ackermann.primRec]
g:44 [binder, in hydras.Prelude.Iterates]
g:45 [binder, in hydras.MoreAck.PrimRecExamples]
g:46 [binder, in hydras.Ackermann.LNN]
g:46 [binder, in hydras.Ackermann.LNT]
g:46 [binder, in Goedel.rosserPA]
g:46 [binder, in hydras.rpo.rpo]
g:47 [binder, in hydras.MoreAck.AckNotPR]
g:47 [binder, in hydras.Ackermann.folLogic]
g:48 [binder, in hydras.Ackermann.folProof]
g:48 [binder, in hydras.MoreAck.PrimRecExamples]
g:49 [binder, in hydras.Ackermann.LNN]
g:49 [binder, in hydras.Ackermann.LNT]
g:49 [binder, in Goedel.rosserPA]
g:49 [binder, in hydras.Ackermann.expressible]
g:50 [binder, in hydras.Epsilon0.Large_Sets]
g:50 [binder, in Goedel.rosserPA]
g:50 [binder, in hydras.Ackermann.folLogic]
g:51 [binder, in hydras.MoreAck.AckNotPR]
g:51 [binder, in Goedel.rosserPA]
g:51 [binder, in hydras.MoreAck.PrimRecExamples]
g:52 [binder, in hydras.Ackermann.LNN]
g:52 [binder, in Goedel.rosserPA]
g:53 [binder, in hydras.Ackermann.LNT]
g:53 [binder, in Goedel.rosserPA]
g:53 [binder, in hydras.Ackermann.folLogic]
g:53 [binder, in gaia_hydras.nfwfgaia]
g:53 [binder, in hydras.MoreAck.PrimRecExamples]
g:54 [binder, in Goedel.rosserPA]
g:55 [binder, in Goedel.rosserPA]
g:56 [binder, in hydras.Ackermann.LNN]
g:56 [binder, in hydras.Ackermann.folLogic]
g:56 [binder, in hydras.MoreAck.PrimRecExamples]
g:563 [binder, in hydras.Ackermann.checkPrf]
g:565 [binder, in hydras.Ackermann.checkPrf]
g:57 [binder, in hydras.Ackermann.LNT]
g:57 [binder, in hydras.OrdinalNotations.ON_Generic]
g:58 [binder, in hydras.Prelude.Iterates]
g:59 [binder, in hydras.Ackermann.folLogic]
g:59 [binder, in Goedel.codeSysPrf]
g:597 [binder, in gaia_hydras.nfwfgaia]
g:6 [binder, in hydras.rpo.more_list]
g:6 [binder, in hydras.Ackermann.code]
g:6 [binder, in hydras.Ackermann.PA]
g:60 [binder, in hydras.Ackermann.LNN]
g:60 [binder, in hydras.Ackermann.LNT]
g:60 [binder, in hydras.MoreAck.PrimRecExamples]
g:62 [binder, in hydras.Ackermann.primRec]
g:62 [binder, in hydras.Ackermann.folLogic]
g:63 [binder, in hydras.Prelude.Iterates]
g:63 [binder, in hydras.Ackermann.LNN]
g:63 [binder, in hydras.Ackermann.LNT]
g:63 [binder, in hydras.Ackermann.fol]
g:64 [binder, in hydras.Ackermann.primRec]
g:648 [binder, in hydras.Ackermann.primRec]
g:65 [binder, in hydras.MoreAck.PrimRecExamples]
g:654 [binder, in hydras.Ackermann.primRec]
g:659 [binder, in hydras.Ackermann.primRec]
g:66 [binder, in hydras.Prelude.Iterates]
g:66 [binder, in hydras.Ackermann.LNN]
g:66 [binder, in hydras.Ackermann.LNT]
g:66 [binder, in hydras.MoreAck.AckNotPR]
g:666 [binder, in hydras.Ackermann.primRec]
g:67 [binder, in hydras.MoreAck.AckNotPR]
g:67 [binder, in hydras.MoreAck.PrimRecExamples]
g:671 [binder, in hydras.Ackermann.primRec]
g:68 [binder, in hydras.Ackermann.model]
g:68 [binder, in hydras.Ackermann.primRec]
g:69 [binder, in hydras.Ackermann.LNN]
g:69 [binder, in hydras.Ackermann.LNT]
g:70 [binder, in hydras.Ackermann.fol]
g:71 [binder, in hydras.MoreAck.PrimRecExamples]
g:72 [binder, in hydras.Ackermann.LNN]
g:72 [binder, in hydras.Ackermann.LNT]
g:74 [binder, in hydras.MoreAck.PrimRecExamples]
g:75 [binder, in hydras.Ackermann.LNN]
g:77 [binder, in hydras.Ackermann.folProp]
g:781 [binder, in hydras.Ackermann.codeSubFormula]
g:784 [binder, in hydras.Ackermann.codeSubFormula]
g:79 [binder, in hydras.Ackermann.folLogic]
g:79 [binder, in hydras.MoreAck.PrimRecExamples]
g:8 [binder, in hydras.solutions_exercises.MinPR2]
g:815 [binder, in hydras.Ackermann.primRec]
g:819 [binder, in hydras.Ackermann.primRec]
g:82 [binder, in hydras.Prelude.Iterates]
g:823 [binder, in hydras.Ackermann.primRec]
g:826 [binder, in hydras.Ackermann.primRec]
g:83 [binder, in hydras.MoreAck.PrimRecExamples]
g:84 [binder, in hydras.Schutte.PartialFun]
g:86 [binder, in hydras.Ackermann.folProp]
g:86 [binder, in hydras.Ackermann.folLogic]
g:86 [binder, in Goedel.codeSysPrf]
g:89 [binder, in hydras.Ackermann.LNT]
g:89 [binder, in Goedel.codeSysPrf]
g:89 [binder, in hydras.Epsilon0.Hprime]
g:9 [binder, in hydras.Ackermann.primRec]
g:9 [binder, in hydras.Ackermann.folLogic]
g:90 [binder, in hydras.Schutte.PartialFun]
g:92 [binder, in hydras.Ackermann.LNN]
g:92 [binder, in hydras.Ackermann.folLogic]
g:94 [binder, in hydras.Ackermann.codeSubFormula]
g:95 [binder, in hydras.Ackermann.folLogic]
g:96 [binder, in hydras.Ackermann.LNT]
g:96 [binder, in hydras.MoreAck.AckNotPR]
g:98 [binder, in hydras.Ackermann.folLogic]
g:98 [binder, in hydras.Ackermann.folReplace]
g:99 [binder, in hydras.Ackermann.LNN]

H

h [axiom, in hydras.Prelude.LibHyps_Experiments]
HAB:175 [binder, in hydras.Epsilon0.Large_Sets]
HAB:22 [binder, in gaia_hydras.GLarge_Sets]
HAck:88 [binder, in hydras.MoreAck.AckNotPR]
half [definition, in additions.BinaryStrat]
Halpha:14 [binder, in gaia_hydras.GHprime]
Halpha:170 [binder, in hydras.Epsilon0.Large_Sets]
Halpha:401 [binder, in hydras.Epsilon0.Paths]
Halpha:662 [binder, in hydras.Epsilon0.T1]
Halpha:665 [binder, in hydras.Epsilon0.T1]
Halpha:710 [binder, in hydras.Epsilon0.T1]
Ha:17 [binder, in gaia_hydras.GLarge_Sets]
HA:173 [binder, in hydras.Epsilon0.Large_Sets]
HA:20 [binder, in gaia_hydras.GLarge_Sets]
Ha:390 [binder, in hydras.Epsilon0.Paths]
Ha:50 [binder, in gaia_hydras.GCanon]
Ha:9 [binder, in gaia_hydras.GCanon]
Ha:98 [binder, in hydras.Epsilon0.Hessenberg]
HBL1 [lemma, in Goedel.goedel2]
hbounded_transitionS [abbreviation, in gaia_hydras.GPaths]
Hb:100 [binder, in hydras.Epsilon0.Hessenberg]
HB:174 [binder, in hydras.Epsilon0.Large_Sets]
HB:21 [binder, in gaia_hydras.GLarge_Sets]
Hb:391 [binder, in hydras.Epsilon0.Paths]
hcanon [abbreviation, in gaia_hydras.GCanon]
hCanon_plus [abbreviation, in gaia_hydras.GPaths]
hcnf [abbreviation, in gaia_hydras.T1Bridge]
hcons [abbreviation, in gaia_hydras.T2Bridge]
hcons [constructor, in hydras.Hydra.Hydra_Definitions]
hconst_path [abbreviation, in gaia_hydras.GPaths]
hconst_pathS [abbreviation, in gaia_hydras.GPaths]
hcons_mult_S2 [lemma, in hydras.Hydra.Hydra_Lemmas]
hcons_mult_S1 [lemma, in hydras.Hydra.Hydra_Lemmas]
hcons_mult_S0 [lemma, in hydras.Hydra.Hydra_Lemmas]
hcons_mult_comm [lemma, in hydras.Hydra.Hydra_Lemmas]
hcons_mult_app [lemma, in hydras.Hydra.Hydra_Lemmas]
hcons_mult [definition, in hydras.Hydra.Hydra_Definitions]
Hc:102 [binder, in hydras.Epsilon0.Hessenberg]
head [abbreviation, in hydras.Hydra.Hydra_Definitions]
headbits [lemma, in additions.fib]
head_LT_cons [lemma, in hydras.Epsilon0.T1]
head_lt_cons [lemma, in hydras.Epsilon0.T1]
head_lt [lemma, in hydras.Epsilon0.T1]
head_lt [lemma, in hydras.Schutte.Correctness_E0]
head_no_round [lemma, in hydras.Hydra.Hydra_Lemmas]
head_no_round_n [lemma, in hydras.Hydra.Hydra_Lemmas]
height [definition, in hydras.Hydra.Hydra_Definitions]
height_lt_size [lemma, in hydras.Hydra.Hydra_Examples]
height_bad [lemma, in hydras.Hydra.Omega_Small]
height_var [instance, in hydras.Hydra.Omega_Small]
height:17 [binder, in hydras.Epsilon0.T1]
Hessenberg [library]
hE0 [abbreviation, in gaia_hydras.T1Bridge]
hE0fin [abbreviation, in gaia_hydras.T1Bridge]
hE0is_succ [abbreviation, in gaia_hydras.T1Bridge]
hE0le [abbreviation, in gaia_hydras.T1Bridge]
hE0limit [abbreviation, in gaia_hydras.T1Bridge]
hE0lt [abbreviation, in gaia_hydras.T1Bridge]
hE0omega [abbreviation, in gaia_hydras.T1Bridge]
hE0phi0 [abbreviation, in gaia_hydras.T1Bridge]
hE0zero [abbreviation, in gaia_hydras.T1Bridge]
HFLim [lemma, in hydras.Epsilon0.F_alpha]
HFsucc [lemma, in hydras.Epsilon0.F_alpha]
hF_ [abbreviation, in gaia_hydras.GF_alpha]
Hf':121 [binder, in hydras.Prelude.Iterates]
Hf':155 [binder, in hydras.Prelude.Iterates]
Hf':94 [binder, in hydras.Prelude.Iterates]
HF0 [lemma, in hydras.Epsilon0.F_alpha]
Hf:120 [binder, in hydras.Prelude.Iterates]
Hf:154 [binder, in hydras.Prelude.Iterates]
Hf:47 [binder, in hydras.Prelude.Iterates]
Hf:50 [binder, in hydras.Prelude.Iterates]
Hf:74 [binder, in hydras.Schutte.PartialFun]
Hf:75 [binder, in hydras.MoreAck.AckNotPR]
Hf:79 [binder, in hydras.MoreAck.AckNotPR]
Hf:84 [binder, in hydras.MoreAck.AckNotPR]
Hf:88 [binder, in hydras.Prelude.Iterates]
Hf:93 [binder, in hydras.Prelude.Iterates]
Hgamma:159 [binder, in additions.AM]
Hgamma:24 [binder, in additions.Fib2]
Hgamma:354 [binder, in additions.Euclidean_Chains]
Hgamma:8 [binder, in additions.Strategies]
hgnaw [abbreviation, in gaia_hydras.GPaths]
hgnawS [abbreviation, in gaia_hydras.GPaths]
Hgt:163 [binder, in hydras.Prelude.Iterates]
hh_2 [constructor, in hydras.Hydra.O2H]
hh_1 [constructor, in hydras.Hydra.O2H]
Hij:64 [binder, in gaia_hydras.GCanon]
Hincl:170 [binder, in hydras.Prelude.MoreLists]
hinit [definition, in hydras.Hydra.BigBattle]
Hk:74 [binder, in additions.Euclidean_Chains]
Hlambda:51 [binder, in gaia_hydras.GCanon]
hlarge [abbreviation, in gaia_hydras.GLarge_Sets]
hlargeS [abbreviation, in gaia_hydras.GLarge_Sets]
Hlim:45 [binder, in gaia_hydras.GCanon]
Hlim:52 [binder, in gaia_hydras.GCanon]
Hlim:63 [binder, in gaia_hydras.GCanon]
Hlim:67 [binder, in gaia_hydras.GCanon]
hlt_iff [lemma, in gaia_hydras.T1Bridge]
hL_spec [abbreviation, in gaia_hydras.GLarge_Sets]
hmlarge [abbreviation, in gaia_hydras.GLarge_Sets]
hmlargeS [abbreviation, in gaia_hydras.GLarge_Sets]
Hmono:200 [binder, in hydras.Schutte.Schutte_basics]
Hmu [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
hmultA [lemma, in gaia_hydras.GaiaToHydra]
hmult_dist [lemma, in gaia_hydras.GaiaToHydra]
Hmu:2 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
Hmu:3 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
Hm':165 [binder, in hydras.Prelude.Iterates]
Hm:164 [binder, in hydras.Prelude.Iterates]
hnf_g2h [lemma, in gaia_hydras.T1Bridge]
Hnf:3 [binder, in gaia_hydras.GF_alpha]
Hnf:34 [binder, in gaia_hydras.GF_alpha]
Hnf:40 [binder, in gaia_hydras.GCanon]
Hnf:44 [binder, in gaia_hydras.GCanon]
Hnf:62 [binder, in gaia_hydras.GCanon]
Hnf:66 [binder, in gaia_hydras.GCanon]
hnil [constructor, in hydras.Hydra.Hydra_Definitions]
hoplus [abbreviation, in gaia_hydras.GHessenberg]
hpath [abbreviation, in gaia_hydras.GPaths]
hpathS [abbreviation, in gaia_hydras.GPaths]
hpath_to [abbreviation, in gaia_hydras.GPaths]
Hprime [library]
hP:25 [binder, in gaia_hydras.T1Bridge]
Hrecb:722 [binder, in hydras.Ackermann.primRec]
Hrecb:726 [binder, in hydras.Ackermann.primRec]
Hrecb:728 [binder, in hydras.Ackermann.primRec]
Hrecb:731 [binder, in hydras.Ackermann.primRec]
Hrecb:734 [binder, in hydras.Ackermann.primRec]
Hrecb:737 [binder, in hydras.Ackermann.primRec]
Hrecb:740 [binder, in hydras.Ackermann.primRec]
Hrecb:743 [binder, in hydras.Ackermann.primRec]
Hrecb:746 [binder, in hydras.Ackermann.primRec]
Hrecb:749 [binder, in hydras.Ackermann.primRec]
Hrecb:752 [binder, in hydras.Ackermann.primRec]
Hrecb:755 [binder, in hydras.Ackermann.primRec]
Hrecb:758 [binder, in hydras.Ackermann.primRec]
Hrecb:760 [binder, in hydras.Ackermann.primRec]
Hrecb:786 [binder, in hydras.Ackermann.primRec]
Hrecb:789 [binder, in hydras.Ackermann.primRec]
Hrecb:793 [binder, in hydras.Ackermann.primRec]
Hrecb:796 [binder, in hydras.Ackermann.primRec]
Hrecb:800 [binder, in hydras.Ackermann.primRec]
Hrecb:806 [binder, in hydras.Ackermann.primRec]
Hrecb:811 [binder, in hydras.Ackermann.primRec]
Hrecb:814 [binder, in hydras.Ackermann.primRec]
Hrecn:128 [binder, in hydras.Ackermann.cPair]
Hrecn:144 [binder, in hydras.Ackermann.cPair]
Hrecn:147 [binder, in hydras.Ackermann.cPair]
Hrecn:151 [binder, in hydras.Ackermann.cPair]
Hrecn:155 [binder, in hydras.Ackermann.cPair]
Hrecn:157 [binder, in hydras.Ackermann.cPair]
Hrecn:160 [binder, in hydras.Ackermann.cPair]
Hrecn:178 [binder, in hydras.Ackermann.model]
Hrecn:185 [binder, in hydras.Ackermann.model]
Hrecn:204 [binder, in hydras.Ackermann.model]
Hrecn:211 [binder, in hydras.Ackermann.model]
Hrecn:64 [binder, in hydras.Ackermann.folLogic3]
Hrecs:10 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:108 [binder, in hydras.Ackermann.codeList]
Hrecs:11 [binder, in hydras.Ackermann.codeList]
Hrecs:113 [binder, in hydras.Ackermann.codeList]
Hrecs:116 [binder, in hydras.Ackermann.codeList]
Hrecs:12 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:121 [binder, in hydras.Ackermann.codeList]
Hrecs:124 [binder, in hydras.Ackermann.codeList]
Hrecs:127 [binder, in hydras.Ackermann.codeList]
Hrecs:13 [binder, in hydras.Ackermann.codeList]
Hrecs:130 [binder, in hydras.Ackermann.codeList]
Hrecs:133 [binder, in hydras.Ackermann.codeList]
Hrecs:136 [binder, in hydras.Ackermann.codeList]
Hrecs:139 [binder, in hydras.Ackermann.codeList]
Hrecs:14 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:142 [binder, in hydras.Ackermann.codeList]
Hrecs:145 [binder, in hydras.Ackermann.codeList]
Hrecs:147 [binder, in hydras.Ackermann.codeList]
Hrecs:149 [binder, in hydras.Ackermann.codeList]
Hrecs:15 [binder, in hydras.Ackermann.codeList]
Hrecs:151 [binder, in hydras.Ackermann.codeList]
Hrecs:153 [binder, in hydras.Ackermann.codeList]
Hrecs:155 [binder, in hydras.Ackermann.codeList]
Hrecs:16 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:165 [binder, in hydras.Ackermann.codeList]
Hrecs:168 [binder, in hydras.Ackermann.codeList]
Hrecs:17 [binder, in hydras.Ackermann.codeList]
Hrecs:171 [binder, in hydras.Ackermann.codeList]
Hrecs:174 [binder, in hydras.Ackermann.codeList]
Hrecs:177 [binder, in hydras.Ackermann.codeList]
Hrecs:18 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:180 [binder, in hydras.Ackermann.codeList]
Hrecs:19 [binder, in hydras.Ackermann.wellFormed]
Hrecs:19 [binder, in hydras.Ackermann.codeList]
Hrecs:197 [binder, in hydras.Ackermann.codeList]
Hrecs:199 [binder, in hydras.Ackermann.codeList]
Hrecs:2 [binder, in hydras.Ackermann.codeList]
Hrecs:20 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:201 [binder, in hydras.Ackermann.codeList]
Hrecs:203 [binder, in hydras.Ackermann.codeList]
Hrecs:205 [binder, in hydras.Ackermann.codeList]
Hrecs:207 [binder, in hydras.Ackermann.codeList]
Hrecs:21 [binder, in hydras.Ackermann.wellFormed]
Hrecs:21 [binder, in hydras.Ackermann.codeList]
Hrecs:213 [binder, in hydras.Ackermann.codeList]
Hrecs:218 [binder, in hydras.Ackermann.codeList]
Hrecs:22 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:221 [binder, in hydras.Ackermann.codeList]
Hrecs:226 [binder, in hydras.Ackermann.codeList]
Hrecs:229 [binder, in hydras.Ackermann.codeList]
Hrecs:23 [binder, in hydras.Ackermann.codeList]
Hrecs:232 [binder, in hydras.Ackermann.codeList]
Hrecs:235 [binder, in hydras.Ackermann.codeList]
Hrecs:238 [binder, in hydras.Ackermann.codeList]
Hrecs:24 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:241 [binder, in hydras.Ackermann.codeList]
Hrecs:244 [binder, in hydras.Ackermann.codeList]
Hrecs:247 [binder, in hydras.Ackermann.codeList]
Hrecs:25 [binder, in hydras.Ackermann.codeList]
Hrecs:250 [binder, in hydras.Ackermann.codeList]
Hrecs:253 [binder, in hydras.Ackermann.codeList]
Hrecs:256 [binder, in hydras.Ackermann.codeList]
Hrecs:259 [binder, in hydras.Ackermann.codeList]
Hrecs:26 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:27 [binder, in hydras.Ackermann.codeList]
Hrecs:276 [binder, in hydras.Ackermann.codeList]
Hrecs:278 [binder, in hydras.Ackermann.codeList]
Hrecs:28 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:280 [binder, in hydras.Ackermann.codeList]
Hrecs:282 [binder, in hydras.Ackermann.codeList]
Hrecs:284 [binder, in hydras.Ackermann.codeList]
Hrecs:286 [binder, in hydras.Ackermann.codeList]
Hrecs:29 [binder, in hydras.Ackermann.codeList]
Hrecs:30 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:31 [binder, in hydras.Ackermann.codeList]
Hrecs:32 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:34 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:36 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:41 [binder, in hydras.Ackermann.codeList]
Hrecs:42 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:44 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:46 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:46 [binder, in hydras.Ackermann.codeList]
Hrecs:48 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:49 [binder, in hydras.Ackermann.codeList]
Hrecs:5 [binder, in hydras.Ackermann.codeList]
Hrecs:54 [binder, in hydras.Ackermann.codeList]
Hrecs:57 [binder, in hydras.Ackermann.codeList]
Hrecs:60 [binder, in hydras.Ackermann.codeList]
Hrecs:63 [binder, in hydras.Ackermann.codeList]
Hrecs:66 [binder, in hydras.Ackermann.codeList]
Hrecs:69 [binder, in hydras.Ackermann.codeList]
Hrecs:7 [binder, in hydras.Ackermann.codeSubFormula]
Hrecs:7 [binder, in hydras.Ackermann.codeList]
Hrecs:72 [binder, in hydras.Ackermann.codeList]
Hrecs:74 [binder, in hydras.Ackermann.codeList]
Hrecs:76 [binder, in hydras.Ackermann.codeList]
Hrecs:78 [binder, in hydras.Ackermann.codeList]
Hrecs:80 [binder, in hydras.Ackermann.codeList]
Hrecs:82 [binder, in hydras.Ackermann.codeList]
Hrecs:84 [binder, in hydras.Ackermann.codeList]
Hrecs:86 [binder, in hydras.Ackermann.codeList]
Hrecs:9 [binder, in hydras.Ackermann.codeList]
Hrecs:90 [binder, in hydras.Ackermann.codeList]
Hrecs:92 [binder, in hydras.Ackermann.codeList]
Hrecs:94 [binder, in hydras.Ackermann.codeList]
Hrecs:96 [binder, in hydras.Ackermann.codeList]
hR:28 [binder, in gaia_hydras.T1Bridge]
hsize [definition, in hydras.Hydra.Hydra_Definitions]
hstandard_gnaw [abbreviation, in gaia_hydras.GPaths]
hs_eq_dec [lemma, in hydras.Hydra.Hydra_Definitions]
hs':140 [binder, in hydras.Hydra.Hydra_Lemmas]
hs':142 [binder, in hydras.Hydra.Hydra_Lemmas]
hs2l [definition, in hydras.Hydra.Hydra_Definitions]
hs2lK [lemma, in hydras.Hydra.Hydra_Definitions]
hs:139 [binder, in hydras.Hydra.Hydra_Lemmas]
hs:141 [binder, in hydras.Hydra.Hydra_Lemmas]
hs:8 [binder, in gaia_hydras.GHydra]
hs:9 [binder, in gaia_hydras.GHydra]
htransition [abbreviation, in gaia_hydras.GPaths]
Htrans:18 [binder, in hydras.Prelude.Sort_spec]
Htrans:21 [binder, in hydras.Prelude.Sort_spec]
Htrans:25 [binder, in hydras.Prelude.Sort_spec]
hT1 [abbreviation, in gaia_hydras.T1Bridge]
hT2 [abbreviation, in gaia_hydras.T2Bridge]
hVar [instance, in gaia_hydras.GHydra]
HVariant [instance, in hydras.Hydra.Hydra_Termination]
Hvariant [record, in hydras.Hydra.Hydra_Definitions]
HVariant_0 [instance, in hydras.Hydra.Hydra_Termination]
Hvariant_Termination [lemma, in hydras.Hydra.Hydra_Lemmas]
Hvar:2 [binder, in hydras.Hydra.Omega2_Small]
Hvar:2 [binder, in hydras.Hydra.Omega_Small]
Hwf:130 [binder, in hydras.Hydra.Hydra_Lemmas]
Hwf:21 [binder, in hydras.solutions_exercises.T1_ltNotWf]
HX:142 [binder, in hydras.Schutte.Schutte_basics]
HX:145 [binder, in hydras.Schutte.Schutte_basics]
Hx:27 [binder, in hydras.Prelude.Restriction]
Hx:31 [binder, in hydras.Prelude.Restriction]
Hx:38 [binder, in hydras.Prelude.Restriction]
HX:61 [binder, in hydras.Schutte.Well_Orders]
hyd [abbreviation, in hydras.Hydra.BigBattle]
Hydra [inductive, in hydras.Hydra.Hydra_Definitions]
Hydrae [inductive, in hydras.Hydra.Hydra_Definitions]
Hydrae_rect2 [definition, in hydras.Hydra.Hydra_Definitions]
HydraGaia_Examples [library]
Hydra_rect2 [definition, in hydras.Hydra.Hydra_Definitions]
Hydra_Termination [library]
Hydra_Extraction [library]
Hydra_Lemmas [library]
Hydra_Definitions [library]
Hydra_Examples [library]
Hydra_Theorems [library]
hyd_mult [definition, in hydras.Hydra.Hydra_Definitions]
hyd1 [abbreviation, in hydras.Hydra.Hydra_Definitions]
hyd2 [abbreviation, in hydras.Hydra.Hydra_Definitions]
hyd3 [abbreviation, in hydras.Hydra.Hydra_Definitions]
hyd4 [abbreviation, in hydras.Hydra.KP_example]
hyper_exp2_S [lemma, in hydras.Prelude.Iterates]
hyper_exp2 [definition, in hydras.Prelude.Iterates]
Hypos [section, in hydras.Prelude.First_toggle]
Hypos.Hn [variable, in hydras.Prelude.First_toggle]
Hypos.Hnp [variable, in hydras.Prelude.First_toggle]
Hypos.Hp [variable, in hydras.Prelude.First_toggle]
Hypos.R [variable, in hydras.Prelude.First_toggle]
Hypos.search_toggle [variable, in hydras.Prelude.First_toggle]
Hypos.spec [variable, in hydras.Prelude.First_toggle]
Hyp1:20 [binder, in hydras.Ackermann.folProof]
Hyp2:21 [binder, in hydras.Ackermann.folProof]
hyp:220 [binder, in hydras.Ackermann.fol]
hyp:221 [binder, in hydras.Ackermann.fol]
hyp:222 [binder, in hydras.Ackermann.fol]
Hyp:24 [binder, in hydras.Ackermann.folProof]
Hyp:46 [binder, in hydras.Ackermann.folProof]
Hyp:48 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
hy_app_l_nil [lemma, in hydras.Hydra.O2H]
hy_app_assoc [lemma, in hydras.Hydra.Hydra_Lemmas]
hy_app [definition, in hydras.Hydra.Hydra_Definitions]
Hy'':5 [binder, in hydras.Hydra.Hydra_Examples]
Hy:28 [binder, in hydras.Prelude.Restriction]
Hy:4 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
Hy:5 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
Hy:6 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
hzero [abbreviation, in gaia_hydras.T2Bridge]
h_eq_dec [lemma, in hydras.Hydra.Hydra_Definitions]
h_forall [definition, in hydras.Hydra.Hydra_Definitions]
H'_F [lemma, in gaia_hydras.GF_alpha]
H'_omega_cube_min [lemma, in gaia_hydras.GHprime]
H'_alpha_gt [lemma, in gaia_hydras.GHprime]
H'_alpha_mono [lemma, in gaia_hydras.GHprime]
H'_dom [lemma, in gaia_hydras.GHprime]
H'_omega_double [lemma, in gaia_hydras.GHprime]
H'_omega [lemma, in gaia_hydras.GHprime]
H'_eq3 [lemma, in gaia_hydras.GHprime]
H'_eq2 [lemma, in gaia_hydras.GHprime]
H'_eq1 [lemma, in gaia_hydras.GHprime]
H'_ [definition, in gaia_hydras.GHprime]
H'_F [lemma, in hydras.Epsilon0.F_alpha]
H'_F.IHalpha [variable, in hydras.Epsilon0.F_alpha]
H'_F.alpha [variable, in hydras.Epsilon0.F_alpha]
H'_F.P [variable, in hydras.Epsilon0.F_alpha]
H'_F [section, in hydras.Epsilon0.F_alpha]
H'_L_ [lemma, in hydras.Epsilon0.L_alpha]
H'_dom [lemma, in hydras.Epsilon0.Hprime]
H'_mono_l [lemma, in hydras.Epsilon0.Hprime]
H'_mono_l_1 [lemma, in hydras.Epsilon0.Hprime]
H'_mono_l_0 [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_mono_weak [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_ge_id [lemma, in hydras.Epsilon0.Hprime]
H'_restricted_mono_l [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_dom [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_Succ_le [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_gt [lemma, in hydras.Epsilon0.Hprime]
H'_alpha_mono [lemma, in hydras.Epsilon0.Hprime]
H'_non_mono1 [lemma, in hydras.Epsilon0.Hprime]
H'_omega_cube_min [lemma, in hydras.Epsilon0.Hprime]
H'_omega_sqr_min [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_omega_exact_formula [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_omega [lemma, in hydras.Epsilon0.Hprime]
H'_omega_cube_3.N [variable, in hydras.Epsilon0.Hprime]
H'_omega_cube_3.f [variable, in hydras.Epsilon0.Hprime]
H'_omega_cube_3 [section, in hydras.Epsilon0.Hprime]
H'_omega_cube [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_Si [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_succ [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_succ_0 [lemma, in hydras.Epsilon0.Hprime]
H'_Phi0_succ_1 [lemma, in hydras.Epsilon0.Hprime]
H'_succ_fun [definition, in hydras.Epsilon0.Hprime]
H'_Omega_term [lemma, in hydras.Epsilon0.Hprime]
H'_Fin_iterate [lemma, in hydras.Epsilon0.Hprime]
H'_Omega_term_0 [lemma, in hydras.Epsilon0.Hprime]
H'_Omega_term_1 [lemma, in hydras.Epsilon0.Hprime]
H'_cons [lemma, in hydras.Epsilon0.Hprime]
H'_cons.i [variable, in hydras.Epsilon0.Hprime]
H'_cons.alpha [variable, in hydras.Epsilon0.Hprime]
H'_cons [section, in hydras.Epsilon0.Hprime]
H'_omega_sqr [lemma, in hydras.Epsilon0.Hprime]
H'_omega_i [lemma, in hydras.Epsilon0.Hprime]
H'_omega_4 [lemma, in hydras.Epsilon0.Hprime]
H'_omega_3 [lemma, in hydras.Epsilon0.Hprime]
H'_omega_double [lemma, in hydras.Epsilon0.Hprime]
H'_Plus_Fin [lemma, in hydras.Epsilon0.Hprime]
H'_omega [lemma, in hydras.Epsilon0.Hprime]
H'_Fin [lemma, in hydras.Epsilon0.Hprime]
H'_eq2 [lemma, in hydras.Epsilon0.Hprime]
H'_eq3 [lemma, in hydras.Epsilon0.Hprime]
H'_eq2_0 [lemma, in hydras.Epsilon0.Hprime]
H'_eq1 [lemma, in hydras.Epsilon0.Hprime]
H'_ [definition, in hydras.Epsilon0.Hprime]
H'_L_ [lemma, in gaia_hydras.GL_alpha]
h'':100 [binder, in hydras.Hydra.Hydra_Definitions]
h'':135 [binder, in hydras.Hydra.Hydra_Definitions]
h'':83 [binder, in hydras.Hydra.Hydra_Lemmas]
h':100 [binder, in hydras.Hydra.O2H]
h':101 [binder, in hydras.Hydra.Hydra_Definitions]
h':107 [binder, in hydras.Hydra.Hydra_Lemmas]
H':108 [binder, in hydras.OrdinalNotations.OmegaOmega]
h':110 [binder, in hydras.Hydra.Hydra_Definitions]
h':113 [binder, in hydras.Hydra.Hydra_Definitions]
h':115 [binder, in hydras.Hydra.Hydra_Lemmas]
h':116 [binder, in hydras.Hydra.Hydra_Definitions]
h':118 [binder, in hydras.Hydra.Hydra_Lemmas]
h':12 [binder, in gaia_hydras.GHydra]
h':121 [binder, in hydras.Hydra.Hydra_Definitions]
h':122 [binder, in hydras.Hydra.Hydra_Lemmas]
h':124 [binder, in hydras.Hydra.Hydra_Lemmas]
h':124 [binder, in hydras.Hydra.Hydra_Definitions]
h':13 [binder, in hydras.Hydra.Hydra_Definitions]
h':130 [binder, in hydras.Hydra.Hydra_Definitions]
h':132 [binder, in hydras.Hydra.Hydra_Lemmas]
h':134 [binder, in hydras.Hydra.Hydra_Lemmas]
h':134 [binder, in hydras.Hydra.Hydra_Definitions]
h':138 [binder, in hydras.Hydra.Hydra_Lemmas]
h':14 [binder, in gaia_hydras.GHydra]
h':141 [binder, in hydras.Hydra.Hydra_Definitions]
h':152 [binder, in hydras.Hydra.Hydra_Definitions]
h':167 [binder, in hydras.Hydra.Hydra_Definitions]
h':178 [binder, in hydras.Prelude.Iterates]
h':19 [binder, in hydras.Hydra.Hydra_Lemmas]
h':2 [binder, in hydras.Hydra.Hydra_Examples]
h':23 [binder, in hydras.Hydra.Hydra_Termination]
h':25 [binder, in hydras.Hydra.Hydra_Termination]
H':28 [binder, in hydras.Epsilon0.E0]
h':3 [binder, in hydras.Hydra.Hydra_Examples]
h':35 [binder, in hydras.Hydra.Hydra_Termination]
h':36 [binder, in hydras.Hydra.O2H]
h':4 [binder, in hydras.Hydra.Hydra_Examples]
h':44 [binder, in hydras.Hydra.Hydra_Termination]
h':46 [binder, in hydras.Hydra.Hydra_Termination]
H':489 [binder, in hydras.Epsilon0.T1]
h':49 [binder, in hydras.Hydra.Hydra_Termination]
H':493 [binder, in hydras.Epsilon0.T1]
h':51 [binder, in hydras.Hydra.O2H]
h':51 [binder, in hydras.Hydra.Hydra_Termination]
H':696 [binder, in hydras.Gamma0.Gamma0]
h':7 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
h':71 [binder, in hydras.Hydra.Hydra_Lemmas]
h':72 [binder, in hydras.Hydra.Hydra_Definitions]
h':76 [binder, in hydras.Hydra.Hydra_Lemmas]
h':80 [binder, in hydras.Hydra.Hydra_Lemmas]
h':82 [binder, in hydras.Hydra.Hydra_Lemmas]
h':86 [binder, in hydras.Hydra.Hydra_Definitions]
h':9 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
h':90 [binder, in hydras.Hydra.O2H]
h':93 [binder, in hydras.Hydra.O2H]
h':93 [binder, in hydras.Hydra.Hydra_Definitions]
h':95 [binder, in hydras.Hydra.Hydra_Definitions]
h':98 [binder, in hydras.Hydra.Hydra_Definitions]
h0 [definition, in hydras.Hydra.KP_example]
h0_h1 [lemma, in hydras.Hydra.KP_example]
H0:21 [binder, in hydras.Epsilon0.F_omega]
H0:294 [binder, in hydras.rpo.rpo]
H0:296 [binder, in hydras.rpo.rpo]
H0:298 [binder, in hydras.rpo.rpo]
h0:35 [binder, in hydras.Prelude.Restriction]
h0:41 [binder, in hydras.Prelude.Restriction]
H0:47 [binder, in hydras.Ackermann.LNN2LNT]
h0:6 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
H0:7 [binder, in hydras.Prelude.Compat815]
H0:73 [binder, in hydras.Ackermann.LNN2LNT]
h0:73 [binder, in hydras.Hydra.Hydra_Lemmas]
H0:76 [binder, in hydras.Ackermann.LNN2LNT]
H0:79 [binder, in hydras.Ackermann.LNN2LNT]
H0:82 [binder, in hydras.Ackermann.LNN2LNT]
H0:85 [binder, in hydras.Ackermann.LNN2LNT]
H0:88 [binder, in hydras.Ackermann.LNN2LNT]
h0:9 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
H0:91 [binder, in hydras.Ackermann.LNN2LNT]
H0:94 [binder, in hydras.Ackermann.LNN2LNT]
h1 [abbreviation, in hydras.Hydra.BigBattle]
h1 [definition, in hydras.Hydra.KP_example]
h1_h2 [lemma, in hydras.Hydra.KP_example]
h1:119 [binder, in hydras.Ackermann.primRec]
H1:310 [binder, in hydras.rpo.rpo]
H1:312 [binder, in hydras.rpo.rpo]
H1:32 [binder, in hydras.MoreAck.FolExamples]
h1:36 [binder, in hydras.Hydra.Hydra_Lemmas]
H1:371 [binder, in hydras.Epsilon0.T1]
H1:373 [binder, in hydras.Epsilon0.T1]
h1:41 [binder, in hydras.Hydra.Hydra_Lemmas]
H1:48 [binder, in hydras.Ackermann.LNN2LNT]
H1:60 [binder, in hydras.Epsilon0.T1]
H1:62 [binder, in hydras.Epsilon0.T1]
H1:74 [binder, in hydras.Ackermann.LNN2LNT]
H1:77 [binder, in hydras.Ackermann.LNN2LNT]
H1:8 [binder, in hydras.Prelude.Compat815]
H1:80 [binder, in hydras.Ackermann.LNN2LNT]
H1:83 [binder, in hydras.Ackermann.LNN2LNT]
H1:86 [binder, in hydras.Ackermann.LNN2LNT]
H1:89 [binder, in hydras.Ackermann.LNN2LNT]
H1:92 [binder, in hydras.Ackermann.LNN2LNT]
H1:95 [binder, in hydras.Ackermann.LNN2LNT]
h2 [abbreviation, in hydras.Hydra.BigBattle]
h2 [definition, in hydras.Hydra.KP_example]
h2g [definition, in gaia_hydras.T1Bridge]
h2g [definition, in gaia_hydras.T2Bridge]
h2g_seq [definition, in gaia_hydras.T1Bridge]
h2g_zero [lemma, in gaia_hydras.T1Bridge]
h2g_cons [lemma, in gaia_hydras.T1Bridge]
h2g_diffE [lemma, in gaia_hydras.T1Bridge]
h2g_eqE [lemma, in gaia_hydras.T1Bridge]
h2g_g2hK [lemma, in gaia_hydras.T1Bridge]
h2g_eqE [lemma, in gaia_hydras.T2Bridge]
h2g_g2hK [lemma, in gaia_hydras.T2Bridge]
h2_h3 [lemma, in hydras.Hydra.KP_example]
H2:10 [binder, in hydras.Prelude.Compat815]
h2:120 [binder, in hydras.Ackermann.primRec]
H2:33 [binder, in hydras.MoreAck.FolExamples]
h2:37 [binder, in hydras.Hydra.Hydra_Lemmas]
H2:374 [binder, in hydras.Epsilon0.T1]
h2:42 [binder, in hydras.Hydra.Hydra_Lemmas]
H2:63 [binder, in hydras.Epsilon0.T1]
h3 [abbreviation, in hydras.Hydra.BigBattle]
h3 [definition, in hydras.Hydra.KP_example]
h:1 [binder, in hydras.Hydra.Hydra_Examples]
h:1 [binder, in hydras.Hydra.Hydra_Termination]
h:1 [binder, in gaia_hydras.GHydra]
h:1 [binder, in hydras.Hydra.Hydra_Lemmas]
h:10 [binder, in hydras.Ackermann.primRec]
h:10 [binder, in gaia_hydras.GHydra]
h:10 [binder, in hydras.Hydra.Hydra_Lemmas]
h:105 [binder, in hydras.Hydra.Hydra_Lemmas]
h:106 [binder, in hydras.Hydra.Hydra_Definitions]
H:107 [binder, in hydras.OrdinalNotations.OmegaOmega]
h:109 [binder, in hydras.Hydra.Hydra_Definitions]
h:11 [binder, in hydras.Hydra.Hydra_Termination]
h:11 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
h:11 [binder, in gaia_hydras.GHydra]
h:11 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
H:11 [binder, in hydras.Schutte.Countable]
h:110 [binder, in hydras.Ackermann.folLogic]
h:112 [binder, in hydras.Hydra.Hydra_Definitions]
h:114 [binder, in hydras.Hydra.Hydra_Lemmas]
h:114 [binder, in hydras.Hydra.Hydra_Definitions]
h:117 [binder, in hydras.Hydra.Hydra_Lemmas]
h:12 [binder, in hydras.solutions_exercises.MorePRExamples]
h:12 [binder, in hydras.Hydra.Hydra_Definitions]
h:120 [binder, in hydras.Ackermann.LNT]
h:120 [binder, in additions.fib]
h:120 [binder, in hydras.Hydra.Hydra_Definitions]
h:121 [binder, in hydras.Hydra.Hydra_Lemmas]
h:123 [binder, in hydras.Ackermann.LNN]
h:123 [binder, in hydras.Hydra.Hydra_Lemmas]
h:123 [binder, in hydras.Hydra.Hydra_Definitions]
h:125 [binder, in hydras.Ackermann.folLogic]
h:129 [binder, in hydras.Hydra.Hydra_Definitions]
h:13 [binder, in hydras.Ackermann.primRec]
h:13 [binder, in gaia_hydras.GHydra]
H:13 [binder, in hydras.MoreAck.PrimRecExamples]
h:132 [binder, in hydras.Hydra.Hydra_Definitions]
h:133 [binder, in hydras.Hydra.Hydra_Lemmas]
h:135 [binder, in hydras.Ackermann.LNT]
h:135 [binder, in hydras.Hydra.Hydra_Lemmas]
h:137 [binder, in hydras.Hydra.Hydra_Lemmas]
h:138 [binder, in hydras.Ackermann.LNN]
h:138 [binder, in hydras.Hydra.Hydra_Definitions]
H:14 [binder, in hydras.MoreAck.BadSubst]
H:14 [binder, in hydras.Prelude.Sort_spec]
h:142 [binder, in hydras.Hydra.Hydra_Definitions]
h:144 [binder, in hydras.Hydra.Hydra_Lemmas]
h:146 [binder, in hydras.Hydra.Hydra_Lemmas]
h:149 [binder, in hydras.Hydra.Hydra_Lemmas]
h:15 [binder, in hydras.Hydra.Hydra_Termination]
h:151 [binder, in hydras.Hydra.Hydra_Definitions]
h:152 [binder, in hydras.Hydra.Hydra_Lemmas]
h:155 [binder, in hydras.Hydra.Hydra_Lemmas]
H:157 [binder, in hydras.Prelude.Iterates]
H:16 [binder, in hydras.Prelude.First_toggle]
h:162 [binder, in hydras.Hydra.Hydra_Definitions]
H:166 [binder, in hydras.Ackermann.primRec]
h:166 [binder, in hydras.Hydra.Hydra_Definitions]
H:172 [binder, in hydras.Ackermann.folProp]
H:174 [binder, in hydras.Ackermann.primRec]
h:175 [binder, in hydras.Prelude.Iterates]
H:179 [binder, in hydras.Ackermann.folProp]
H:18 [binder, in hydras.Epsilon0.F_omega]
h:18 [binder, in hydras.Hydra.Hydra_Lemmas]
H:182 [binder, in hydras.Ackermann.primRec]
H:188 [binder, in hydras.Ackermann.folProp]
H:193 [binder, in hydras.Ackermann.primRec]
H:195 [binder, in hydras.Ackermann.folProp]
H:201 [binder, in hydras.Schutte.Schutte_basics]
H:204 [binder, in hydras.Ackermann.folProp]
H:204 [binder, in hydras.Ackermann.primRec]
h:205 [binder, in hydras.Prelude.Iterates]
H:21 [binder, in hydras.Schutte.MoreEpsilonIota]
H:211 [binder, in hydras.Ackermann.folProp]
H:215 [binder, in hydras.Ackermann.primRec]
h:22 [binder, in hydras.Hydra.Hydra_Termination]
H:22 [binder, in hydras.Prelude.STDPP_compat]
H:220 [binder, in hydras.Ackermann.folProp]
H:227 [binder, in hydras.Ackermann.folProp]
H:24 [binder, in hydras.Prelude.Restriction]
h:24 [binder, in hydras.Schutte.Critical]
H:24 [binder, in hydras.Schutte.MoreEpsilonIota]
h:24 [binder, in hydras.Hydra.Hydra_Termination]
H:24 [binder, in hydras.Prelude.STDPP_compat]
h:24 [binder, in hydras.Hydra.Hydra_Definitions]
H:25 [binder, in hydras.Epsilon0.E0]
H:251 [binder, in hydras.Ackermann.folProp]
H:258 [binder, in hydras.Ackermann.folProp]
h:26 [binder, in gaia_hydras.GHydra]
H:265 [binder, in hydras.Ackermann.cPair]
H:267 [binder, in hydras.Ackermann.folProp]
H:27 [binder, in hydras.Epsilon0.E0]
H:274 [binder, in hydras.Ackermann.folProp]
h:28 [binder, in hydras.Hydra.O2H]
H:28 [binder, in hydras.Schutte.Critical]
H:29 [binder, in hydras.Prelude.Restriction]
h:30 [binder, in hydras.Hydra.Hydra_Definitions]
H:300 [binder, in hydras.Ackermann.folProp]
H:307 [binder, in hydras.Ackermann.folProp]
H:316 [binder, in hydras.Ackermann.folProp]
h:32 [binder, in hydras.Hydra.O2H]
H:323 [binder, in hydras.Ackermann.folProp]
h:329 [binder, in Goedel.PRrepresentable]
H:33 [binder, in hydras.MoreAck.AckNotPR]
H:33 [binder, in hydras.Schutte.Critical]
H:332 [binder, in hydras.Ackermann.folProp]
h:334 [binder, in Goedel.PRrepresentable]
h:339 [binder, in Goedel.PRrepresentable]
H:339 [binder, in hydras.Ackermann.folProp]
h:34 [binder, in hydras.Hydra.Hydra_Termination]
H:34 [binder, in hydras.MoreAck.FolExamples]
H:348 [binder, in hydras.Ackermann.folProp]
h:35 [binder, in hydras.Hydra.O2H]
H:355 [binder, in hydras.Ackermann.folProp]
h:36 [binder, in hydras.Prelude.Restriction]
h:36 [binder, in hydras.Hydra.Hydra_Definitions]
H:364 [binder, in hydras.Ackermann.folProp]
h:365 [binder, in hydras.Ackermann.primRec]
H:369 [binder, in hydras.Epsilon0.T1]
H:37 [binder, in hydras.Schutte.Ordering_Functions]
H:370 [binder, in hydras.Epsilon0.T1]
H:371 [binder, in hydras.Ackermann.folProp]
H:372 [binder, in hydras.Epsilon0.T1]
h:38 [binder, in hydras.MoreAck.AckNotPR]
H:38 [binder, in hydras.Schutte.Critical]
H:38 [binder, in hydras.Hydra.Hydra_Termination]
H:380 [binder, in hydras.Ackermann.folProp]
H:385 [binder, in hydras.Epsilon0.Paths]
H:387 [binder, in hydras.Ackermann.folProp]
h:40 [binder, in hydras.Hydra.O2H]
h:40 [binder, in hydras.Ackermann.folLogic]
H:41 [binder, in hydras.Hydra.Hydra_Termination]
h:41 [binder, in hydras.Hydra.Hydra_Definitions]
h:42 [binder, in hydras.Prelude.Restriction]
H:42 [binder, in hydras.Schutte.Critical]
H:423 [binder, in hydras.Epsilon0.T1]
h:43 [binder, in hydras.Hydra.Hydra_Termination]
H:44 [binder, in hydras.Schutte.Correctness_E0]
h:44 [binder, in hydras.Ackermann.folLogic]
h:45 [binder, in hydras.Prelude.Iterates]
h:45 [binder, in hydras.Hydra.O2H]
H:45 [binder, in hydras.Prelude.Restriction]
h:45 [binder, in hydras.Hydra.Hydra_Termination]
H:46 [binder, in hydras.Ackermann.LNN2LNT]
h:47 [binder, in hydras.Hydra.Hydra_Termination]
h:48 [binder, in hydras.Hydra.Hydra_Termination]
H:487 [binder, in hydras.Epsilon0.T1]
H:491 [binder, in hydras.Epsilon0.T1]
H:5 [binder, in hydras.Hydra.Hydra_Theorems]
h:5 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
h:5 [binder, in hydras.Hydra.Hydra_Lemmas]
h:50 [binder, in hydras.Ackermann.LNT]
H:50 [binder, in hydras.Schutte.Critical]
h:50 [binder, in hydras.Hydra.Hydra_Termination]
h:50 [binder, in hydras.Hydra.Hydra_Lemmas]
h:53 [binder, in hydras.Ackermann.LNN]
H:54 [binder, in hydras.Prelude.Iterates]
h:54 [binder, in hydras.Ackermann.LNT]
h:54 [binder, in hydras.Hydra.Hydra_Definitions]
H:55 [binder, in hydras.MoreAck.AckNotPR]
h:55 [binder, in hydras.Hydra.Hydra_Lemmas]
h:57 [binder, in hydras.Ackermann.LNN]
H:58 [binder, in hydras.Epsilon0.T1]
H:59 [binder, in hydras.Epsilon0.T1]
h:59 [binder, in hydras.Prelude.Iterates]
h:6 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
h:6 [binder, in hydras.Hydra.Hydra_Examples]
h:60 [binder, in hydras.Hydra.Hydra_Lemmas]
h:60 [binder, in hydras.Hydra.Hydra_Definitions]
H:61 [binder, in hydras.Epsilon0.T1]
h:63 [binder, in gaia_hydras.nfwfgaia]
h:64 [binder, in hydras.Prelude.Iterates]
H:64 [binder, in hydras.Prelude.MoreLists]
h:65 [binder, in hydras.Hydra.Hydra_Lemmas]
h:66 [binder, in hydras.Hydra.Hydra_Lemmas]
h:660 [binder, in hydras.Ackermann.primRec]
h:67 [binder, in hydras.Prelude.Iterates]
H:68 [binder, in hydras.Schutte.Correctness_E0]
h:69 [binder, in hydras.Ackermann.primRec]
h:69 [binder, in hydras.Hydra.Hydra_Lemmas]
H:695 [binder, in hydras.Gamma0.Gamma0]
h:7 [binder, in hydras.Hydra.Hydra_Examples]
h:7 [binder, in hydras.Hydra.Hydra_Termination]
h:7 [binder, in gaia_hydras.GHydra]
h:71 [binder, in hydras.Hydra.Hydra_Definitions]
H:711 [binder, in hydras.Epsilon0.T1]
H:72 [binder, in hydras.Schutte.Correctness_E0]
H:72 [binder, in hydras.Ackermann.LNN2LNT]
h:73 [binder, in hydras.Hydra.Hydra_Definitions]
H:75 [binder, in hydras.Schutte.Correctness_E0]
h:75 [binder, in hydras.Hydra.Hydra_Lemmas]
H:78 [binder, in hydras.Ackermann.LNN2LNT]
h:78 [binder, in hydras.Hydra.Hydra_Lemmas]
H:8 [binder, in hydras.Schutte.Critical]
h:8 [binder, in hydras.Hydra.Hydra_Examples]
h:8 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
H:8 [binder, in hydras.Schutte.Countable]
h:81 [binder, in hydras.Hydra.Hydra_Lemmas]
H:84 [binder, in hydras.Prelude.Iterates]
H:84 [binder, in hydras.Ackermann.LNN2LNT]
h:85 [binder, in hydras.Hydra.Hydra_Definitions]
h:88 [binder, in hydras.Hydra.Hydra_Lemmas]
h:88 [binder, in hydras.Hydra.Hydra_Definitions]
h:9 [binder, in hydras.solutions_exercises.MinPR2]
h:9 [binder, in hydras.Hydra.Hydra_Examples]
H:90 [binder, in hydras.Ackermann.LNN2LNT]
h:91 [binder, in hydras.Hydra.Hydra_Lemmas]
h:92 [binder, in hydras.Hydra.O2H]
h:92 [binder, in hydras.Hydra.Hydra_Definitions]
h:93 [binder, in hydras.Hydra.Hydra_Lemmas]
h:94 [binder, in hydras.Hydra.Hydra_Definitions]
h:96 [binder, in hydras.Hydra.O2H]
h:96 [binder, in hydras.Hydra.Hydra_Lemmas]
h:97 [binder, in hydras.Hydra.Hydra_Definitions]
h:98 [binder, in hydras.Hydra.O2H]
h:99 [binder, in hydras.Hydra.Hydra_Definitions]

I

idIsPR [instance, in hydras.Ackermann.primRec]
idn:126 [binder, in additions.fib]
id_le_f_alpha [lemma, in hydras.Epsilon0.F_alpha]
Id2 [definition, in additions.Monoid_instances]
id:118 [binder, in additions.fib]
iffExist [lemma, in hydras.Ackermann.folReplace]
iffE1 [lemma, in hydras.Ackermann.LNN]
iffE1 [lemma, in hydras.Ackermann.LNT]
iffE1 [lemma, in hydras.Ackermann.folLogic]
iffE2 [lemma, in hydras.Ackermann.LNN]
iffE2 [lemma, in hydras.Ackermann.LNT]
iffE2 [lemma, in hydras.Ackermann.folLogic]
iffH [definition, in hydras.Ackermann.fol]
iffI [lemma, in hydras.Ackermann.LNN]
iffI [lemma, in hydras.Ackermann.LNT]
iffI [lemma, in hydras.Ackermann.folLogic]
iffRefl [lemma, in hydras.Ackermann.LNN]
iffRefl [lemma, in hydras.Ackermann.LNT]
iffRefl [lemma, in hydras.Ackermann.folLogic]
iffSym [lemma, in hydras.Ackermann.LNN]
iffSym [lemma, in hydras.Ackermann.LNT]
iffSym [lemma, in hydras.Ackermann.folLogic]
iffTrans [lemma, in hydras.Ackermann.LNN]
iffTrans [lemma, in hydras.Ackermann.LNT]
iffTrans [lemma, in hydras.Ackermann.folLogic]
ifThenElseH [definition, in hydras.Ackermann.fol]
if_simpl [lemma, in gaia_hydras.nfwfgaia]
If2IsPR [instance, in hydras.solutions_exercises.MinPR2]
ignoreParams [definition, in hydras.Ackermann.primRec]
ignoreParamsIsPR [instance, in hydras.Ackermann.primRec]
Ignore_Params [section, in hydras.Ackermann.primRec]
IHn:102 [binder, in hydras.MoreAck.AckNotPR]
image [definition, in hydras.Schutte.PartialFun]
image_as_Im [lemma, in hydras.Schutte.PartialFun]
image_B_g_seg [lemma, in hydras.Schutte.Ordering_Functions]
impE [lemma, in hydras.Ackermann.LNN]
impE [lemma, in hydras.Ackermann.LNT]
impE [lemma, in hydras.Ackermann.folLogic]
impForall [lemma, in hydras.Ackermann.folReplace]
impH [constructor, in hydras.Ackermann.fol]
impI [lemma, in hydras.Ackermann.LNN]
impI [lemma, in hydras.Ackermann.LNT]
impI [lemma, in hydras.Ackermann.folLogic]
ImpossibilityProof [section, in gaia_hydras.GHydra]
ImpossibilityProof.m [variable, in gaia_hydras.GHydra]
ImpossibilityProof.mh [variable, in gaia_hydras.GHydra]
ImpossibilityProof.mu [variable, in gaia_hydras.GHydra]
ImpossibilityProof.nfMu [variable, in gaia_hydras.GHydra]
Impossibility_free [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof.small_h [variable, in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof.big_h [variable, in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof [section, in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof [section, in hydras.MoreAck.AckNotPR]
Impossibility_std [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof.small_h [variable, in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof.big_h [variable, in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof [section, in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_std [lemma, in gaia_hydras.GHydra]
Impossibility_free [lemma, in gaia_hydras.GHydra]
Impossibility_Proof.small_h [variable, in hydras.Hydra.Omega2_Small]
Impossibility_Proof.iota [variable, in hydras.Hydra.Omega2_Small]
Impossibility_Proof.big_h [variable, in hydras.Hydra.Omega2_Small]
Impossibility_Proof.m [variable, in hydras.Hydra.Omega2_Small]
Impossibility_Proof [section, in hydras.Hydra.Omega2_Small]
Impossibility_Proof.small_h [variable, in hydras.Hydra.Omega_Small]
Impossibility_Proof.big_h [variable, in hydras.Hydra.Omega_Small]
Impossibility_Proof.iota [variable, in hydras.Hydra.Omega_Small]
Impossibility_Proof.m [variable, in hydras.Hydra.Omega_Small]
Impossibility_Proof [section, in hydras.Hydra.Omega_Small]
Impossibility1 [section, in hydras.solutions_exercises.MultisetWf]
Impossibility1.m [variable, in hydras.solutions_exercises.MultisetWf]
Impossibility1.mDecr [variable, in hydras.solutions_exercises.MultisetWf]
Impossibility1.x [variable, in hydras.solutions_exercises.MultisetWf]
Impossibility1.y [variable, in hydras.solutions_exercises.MultisetWf]
Impossible [lemma, in hydras.Hydra.Omega2_Small]
impossible_nat [lemma, in hydras.solutions_exercises.MultisetWf]
impRefl [lemma, in hydras.Ackermann.LNN]
impRefl [lemma, in hydras.Ackermann.LNT]
impRefl [lemma, in hydras.Ackermann.folLogic]
impTrans [lemma, in hydras.Ackermann.LNN]
impTrans [lemma, in hydras.Ackermann.LNT]
impTrans [lemma, in hydras.Ackermann.folLogic]
IMP1 [constructor, in hydras.Ackermann.folProof]
IMP2 [constructor, in hydras.Ackermann.folProof]
im_U_f [lemma, in hydras.Schutte.Ordering_Functions]
Incl [instance, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Included_s [definition, in hydras.Prelude.DecPreOrder_Instances]
Inclusion_ij.b [variable, in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.Hij [variable, in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.j [variable, in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.i [variable, in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij [section, in hydras.OrdinalNotations.ON_Finite]
incl_decomp [lemma, in hydras.Prelude.MoreLists]
incl_inv [lemma, in hydras.Prelude.MoreLists]
Incompleteness [lemma, in Goedel.rosser]
Inconsistent [definition, in hydras.Ackermann.folProof]
Inc_U_A [lemma, in hydras.Schutte.Ordering_Functions]
independent [definition, in hydras.Ackermann.folProof]
indIsPR [instance, in hydras.Ackermann.primRec]
induct [lemma, in hydras.Ackermann.PA]
InductionSchema [definition, in hydras.Ackermann.PA]
inductive_step.Hn [variable, in hydras.Epsilon0.F_omega]
inductive_step.n [variable, in hydras.Epsilon0.F_omega]
inductive_step [section, in hydras.Epsilon0.F_omega]
induct_step [lemma, in hydras.Schutte.Critical]
ind1ParamIsPR [instance, in hydras.Ackermann.primRec]
ind2ParamIsPR [instance, in hydras.Ackermann.primRec]
Infinite [definition, in hydras.solutions_exercises.Limit_Infinity]
info [inductive, in additions.Trace_exercise]
InH [record, in hydras.Schutte.MoreEpsilonIota]
InH [inductive, in hydras.Schutte.MoreEpsilonIota]
inhNat [instance, in hydras.Schutte.MoreEpsilonIota]
InHWit [projection, in hydras.Schutte.MoreEpsilonIota]
InHWit [constructor, in hydras.Schutte.MoreEpsilonIota]
inhX:45 [binder, in hydras.Schutte.Well_Orders]
Inh_ord [lemma, in hydras.Schutte.Schutte_basics]
Inh_Ord_Ord [instance, in hydras.Schutte.Schutte_basics]
Inh_OSets [instance, in hydras.Schutte.Schutte_basics]
InH_Ord [instance, in hydras.Schutte.Schutte_basics]
inh_Ord [axiom, in hydras.Schutte.Schutte_basics]
inh_U [lemma, in hydras.Schutte.Ordering_Functions]
inh:2 [binder, in hydras.Schutte.MoreEpsilonIota]
inh:53 [binder, in hydras.Schutte.Well_Orders]
inh:58 [binder, in hydras.Schutte.Well_Orders]
Init [constructor, in additions.Trace_exercise]
inject [definition, in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0_ex_unique [lemma, in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0_ex [lemma, in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0_ex_cnf [lemma, in hydras.Schutte.Correctness_E0]
inject_mult_fin_r [lemma, in hydras.Schutte.Correctness_E0]
inject_plus [lemma, in hydras.Schutte.Correctness_E0]
inject_rw [lemma, in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0 [lemma, in hydras.Schutte.Correctness_E0]
inject_monoR [lemma, in hydras.Schutte.Correctness_E0]
inject_injective [lemma, in hydras.Schutte.Correctness_E0]
inject_mono [lemma, in hydras.Schutte.Correctness_E0]
inject_mono_0 [lemma, in hydras.Schutte.Correctness_E0]
inject_of_phi0 [lemma, in hydras.Schutte.Correctness_E0]
inject_of_omega [lemma, in hydras.Schutte.Correctness_E0]
inject_of_finite [lemma, in hydras.Schutte.Correctness_E0]
inject_of_zero [lemma, in hydras.Schutte.Correctness_E0]
inject_of_finite_pos [lemma, in hydras.Schutte.Correctness_E0]
input:61 [binder, in hydras.Ackermann.codeSubFormula]
instr [inductive, in additions.AM]
interpFormula [definition, in hydras.Ackermann.model]
interpRels [definition, in hydras.Ackermann.model]
interpTerm [definition, in hydras.Ackermann.model]
interpTerms [definition, in hydras.Ackermann.model]
interpTermsVector [definition, in hydras.Ackermann.model]
interval [definition, in hydras.Prelude.MoreLists]
interval_lt_not_In [lemma, in hydras.Prelude.MoreLists]
interval_sorted_ge [lemma, in hydras.Prelude.MoreLists]
interval_unroll [lemma, in hydras.Prelude.MoreLists]
interval_app [lemma, in hydras.Prelude.MoreLists]
interval_singleton [lemma, in hydras.Prelude.MoreLists]
interval_not_empty_iff [lemma, in hydras.Prelude.MoreLists]
interval_not_empty [lemma, in hydras.Prelude.MoreLists]
interval_length [lemma, in hydras.Prelude.MoreLists]
interval_def [lemma, in gaia_hydras.GPaths]
Int63mult [instance, in additions.Monoid_instances]
int63_mult_op [instance, in additions.Monoid_instances]
inv [definition, in hydras.solutions_exercises.FibonacciPR]
invar:18 [binder, in hydras.Prelude.First_toggle]
Inverse_fun [instance, in hydras.Prelude.DecPreOrder_Instances]
Inverse_Image_transp.Rof [variable, in additions.Wf_transparent]
Inverse_Image_transp.f [variable, in additions.Wf_transparent]
Inverse_Image_transp.R [variable, in additions.Wf_transparent]
Inverse_Image_transp.B [variable, in additions.Wf_transparent]
Inverse_Image_transp.A [variable, in additions.Wf_transparent]
Inverse_Image_transp [section, in additions.Wf_transparent]
inversion_of_bijection.f_b [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.inv_spec [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.f [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.DB [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.DA [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.inhA [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.B [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection.A [variable, in hydras.Schutte.PartialFun]
inversion_of_bijection [section, in hydras.Schutte.PartialFun]
inv_Pi [lemma, in hydras.solutions_exercises.FibonacciPR]
inv_fun_bij [lemma, in hydras.Schutte.PartialFun]
inv_composeR [lemma, in hydras.Schutte.PartialFun]
inv_compose [lemma, in hydras.Schutte.PartialFun]
inv_fun [definition, in hydras.Schutte.PartialFun]
inv_trans [lemma, in hydras.rpo.closure]
In_betaFormula_subst_2_1 [lemma, in Goedel.PRrepresentable]
In_betaFormula_subst_2 [lemma, in Goedel.PRrepresentable]
In_betaFormula [lemma, in Goedel.PRrepresentable]
In_betaFormula_subst_1 [lemma, in Goedel.PRrepresentable]
In_betaFormula_subst_1_2 [lemma, in Goedel.PRrepresentable]
In_betaFormula_subst_1_2_0 [lemma, in Goedel.PRrepresentable]
In_sorted_ge_inv [lemma, in hydras.Prelude.MoreLists]
in_remove [lemma, in hydras.rpo.more_list]
in_map_in [lemma, in hydras.rpo.more_list]
in_in_map [lemma, in hydras.rpo.more_list]
In_freeVarSys [definition, in hydras.Ackermann.folProp]
In_freeVarListFormulaE [lemma, in hydras.Ackermann.folProp]
In_freeVarListFormula [lemma, in hydras.Ackermann.folProp]
In_list_remove2 [abbreviation, in hydras.Ackermann.ListExt]
in_remove_neq [lemma, in hydras.Ackermann.ListExt]
In_add2 [lemma, in hydras.MoreAck.FolExamples]
In_add1 [lemma, in hydras.MoreAck.FolExamples]
In_cases [lemma, in hydras.Prelude.MoreVectors]
iota [definition, in hydras.Hydra.O2H]
iota [definition, in hydras.solutions_exercises.MultisetWf]
iotas [definition, in hydras.Hydra.O2H]
iotas_succ [lemma, in hydras.Hydra.O2H]
iota_phi0 [lemma, in hydras.Hydra.O2H]
iota_of_succ [lemma, in hydras.Hydra.O2H]
iota_tail [lemma, in hydras.Hydra.O2H]
iota_rw4 [lemma, in hydras.Hydra.O2H]
iota_rw3 [lemma, in hydras.Hydra.O2H]
iota_rw2 [lemma, in hydras.Hydra.O2H]
iota_rw1 [lemma, in hydras.Hydra.O2H]
iota_succ_round [lemma, in hydras.Hydra.O2H]
iota_succ_round_n [lemma, in hydras.Hydra.O2H]
iota_succ_R1 [lemma, in hydras.Hydra.O2H]
iota_iotas [lemma, in hydras.Hydra.O2H]
iota_from_lt_not_In [lemma, in hydras.Prelude.MoreLists]
iota_from_sorted_ge [lemma, in hydras.Prelude.MoreLists]
iota_from_unroll [lemma, in hydras.Prelude.MoreLists]
iota_from_plus [lemma, in hydras.Prelude.MoreLists]
iota_from_app [lemma, in hydras.Prelude.MoreLists]
iota_from [definition, in hydras.Prelude.MoreLists]
iota_adapt [lemma, in gaia_hydras.GPaths]
iota_ind [lemma, in hydras.Schutte.MoreEpsilonIota]
iota_eq [lemma, in hydras.Schutte.MoreEpsilonIota]
iota_spec_1 [lemma, in hydras.Schutte.MoreEpsilonIota]
iota_fun_ind [lemma, in hydras.Schutte.PartialFun]
iota_fun_e [lemma, in hydras.Schutte.PartialFun]
iota_fun [definition, in hydras.Schutte.PartialFun]
iota_demo.Bad.le_bottom_zero [lemma, in hydras.Schutte.Schutte_basics]
iota_demo.Bad.bottom_eq [lemma, in hydras.Schutte.Schutte_basics]
iota_demo.Bad.le_zero_bottom [lemma, in hydras.Schutte.Schutte_basics]
iota_demo.Bad.bottom [definition, in hydras.Schutte.Schutte_basics]
iota_demo.Bad [module, in hydras.Schutte.Schutte_basics]
iota_demo.zero_le [lemma, in hydras.Schutte.Schutte_basics]
iota_demo.zero [definition, in hydras.Schutte.Schutte_basics]
iota_demo.zero [definition, in hydras.Schutte.Schutte_basics]
iota_demo.R [lemma, in hydras.Schutte.Schutte_basics]
iota_demo [module, in hydras.Schutte.Schutte_basics]
iota_mono [lemma, in hydras.OrdinalNotations.ON_Finite]
iota_compare_commute [lemma, in hydras.OrdinalNotations.ON_Finite]
iota_ij [definition, in hydras.OrdinalNotations.ON_Finite]
iota:101 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:114 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:129 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:141 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:154 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:38 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:71 [binder, in hydras.OrdinalNotations.ON_Generic]
iota:89 [binder, in hydras.OrdinalNotations.ON_Generic]
Iso_same_op [definition, in hydras.OrdinalNotations.ON_Generic]
Iso_same_fun [definition, in hydras.OrdinalNotations.ON_Generic]
Iso_same_cst [definition, in hydras.OrdinalNotations.ON_Generic]
iso_inv2 [projection, in hydras.OrdinalNotations.ON_Generic]
iso_inv1 [projection, in hydras.OrdinalNotations.ON_Generic]
iso_compare [projection, in hydras.OrdinalNotations.ON_Generic]
isPR [record, in hydras.Ackermann.primRec]
isPR [inductive, in hydras.Ackermann.primRec]
isPRextEqual [instance, in hydras.Ackermann.primRec]
isPRrel [record, in hydras.Ackermann.primRec]
isPRrel [inductive, in hydras.Ackermann.primRec]
isPRTrans [instance, in hydras.Ackermann.primRec]
iSPR_Ack_Sn [instance, in hydras.MoreAck.AckNotPR]
isqrt [definition, in hydras.solutions_exercises.isqrt]
isqrt [library]
isqrt_spec [definition, in hydras.solutions_exercises.isqrt]
issqrtIsPR [instance, in hydras.solutions_exercises.isqrt]
is_limit_cons [constructor, in hydras.Gamma0.T2]
is_limit_0 [constructor, in hydras.Gamma0.T2]
is_limit [inductive, in hydras.Gamma0.T2]
is_successor [inductive, in hydras.Gamma0.T2]
is_finite [inductive, in hydras.Gamma0.T2]
is_lub [definition, in hydras.Schutte.Lub]
is_cnf_of [definition, in hydras.Schutte.CNF]
is_limit_phi0 [lemma, in hydras.Schutte.AP]
is_in_seq_not_Acc [lemma, in hydras.solutions_exercises.MultisetWf]
is_pr_rel [projection, in hydras.Ackermann.primRec]
is_pr_rel [constructor, in hydras.Ackermann.primRec]
is_pr [projection, in hydras.Ackermann.primRec]
is_pr [constructor, in hydras.Ackermann.primRec]
is_limit_sup_members [lemma, in hydras.Schutte.Schutte_basics]
is_limit_omega [lemma, in hydras.Schutte.Schutte_basics]
is_limit [definition, in hydras.Schutte.Schutte_basics]
is_succ [definition, in hydras.Schutte.Schutte_basics]
is_finite [definition, in hydras.Schutte.Schutte_basics]
is_successor_of [definition, in gaia_hydras.onType]
is_limit_ab [lemma, in hydras.Gamma0.Gamma0]
is_limit_intro [lemma, in hydras.Gamma0.Gamma0]
is_limit_cons_inv [lemma, in hydras.Gamma0.Gamma0]
is_limit_not_succ [lemma, in hydras.Gamma0.Gamma0]
is_finite_finite [lemma, in hydras.Gamma0.Gamma0]
is_F_monotonous [library]
iterate [definition, in hydras.Prelude.Iterates]
iterate [definition, in hydras.Ackermann.primRec]
iterateIsPR [instance, in hydras.Ackermann.primRec]
Iterates [library]
iterate_ge_diag' [lemma, in hydras.Prelude.Iterates]
iterate_gt_diag' [lemma, in hydras.Prelude.Iterates]
iterate_ge_from [lemma, in hydras.Prelude.Iterates]
iterate_ext2 [lemma, in hydras.Prelude.Iterates]
iterate_dom_prop [lemma, in hydras.Prelude.Iterates]
iterate_mono_1 [lemma, in hydras.Prelude.Iterates]
iterate_ge'' [lemma, in hydras.Prelude.Iterates]
iterate_ge' [lemma, in hydras.Prelude.Iterates]
iterate_Sge [lemma, in hydras.Prelude.Iterates]
iterate_ge [lemma, in hydras.Prelude.Iterates]
iterate_mono [lemma, in hydras.Prelude.Iterates]
iterate_mono2 [lemma, in hydras.Prelude.Iterates]
iterate_le_np_le [lemma, in hydras.Prelude.Iterates]
iterate_le_n_Sn [lemma, in hydras.Prelude.Iterates]
iterate_lt_from [lemma, in hydras.Prelude.Iterates]
iterate_lt [lemma, in hydras.Prelude.Iterates]
iterate_le [lemma, in hydras.Prelude.Iterates]
iterate_ext [lemma, in hydras.Prelude.Iterates]
iterate_rw [lemma, in hydras.Prelude.Iterates]
iterate_S_eqn2 [lemma, in hydras.Prelude.Iterates]
iterate_S_eqn [lemma, in hydras.Prelude.Iterates]
iterate_compat3 [lemma, in hydras.Prelude.Iterates]
iterate_compat2 [lemma, in hydras.Prelude.Iterates]
iterate_compat [lemma, in hydras.Prelude.Iterates]
iterate_comm [lemma, in hydras.Prelude.Iterates]
iterate_nat_rec [lemma, in hydras.MoreAck.AckNotPR]
iterate_extEqual [lemma, in hydras.MoreAck.Iterate_compat]
iterate_compat [lemma, in hydras.MoreAck.Iterate_compat]
Iterate_compat [library]
iterate2_mono2 [lemma, in hydras.Prelude.Iterates]
iterate2_mono3 [lemma, in hydras.Prelude.Iterates]
iterate2_mono_weak [lemma, in hydras.Prelude.Iterates]
iterate2_mono [lemma, in hydras.Prelude.Iterates]
iter_combine [lemma, in additions.fib]
iter_comm [lemma, in additions.fib]
iter_mul [lemma, in additions.fib]
I_i_wf [lemma, in gaia_hydras.onType]
i':179 [binder, in hydras.Prelude.Iterates]
i1 [definition, in hydras.OrdinalNotations.ON_Finite]
i2 [definition, in hydras.OrdinalNotations.ON_Finite]
i:1 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:1 [binder, in hydras.Prelude.MoreLists]
i:1 [binder, in gaia_hydras.GPaths]
i:1 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:1 [binder, in hydras.OrdinalNotations.ON_Omega]
i:1 [binder, in hydras.Epsilon0.Paths]
i:10 [binder, in hydras.Prelude.First_toggle]
i:10 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:10 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:10 [binder, in hydras.Hydra.BigBattle]
i:10 [binder, in hydras.Hydra.Omega2_Small]
i:10 [binder, in gaia_hydras.GL_alpha]
i:101 [binder, in hydras.Prelude.Iterates]
i:102 [binder, in hydras.Prelude.MoreLists]
i:102 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:103 [binder, in hydras.Epsilon0.Canon]
i:104 [binder, in hydras.Epsilon0.F_alpha]
i:104 [binder, in hydras.Hydra.Hydra_Lemmas]
i:104 [binder, in gaia_hydras.nfwfgaia]
i:105 [binder, in hydras.Prelude.MoreLists]
i:106 [binder, in gaia_hydras.nfwfgaia]
i:108 [binder, in hydras.Epsilon0.T1]
i:108 [binder, in hydras.Epsilon0.F_alpha]
i:108 [binder, in hydras.Epsilon0.Canon]
i:109 [binder, in hydras.Epsilon0.F_alpha]
i:109 [binder, in hydras.Epsilon0.Large_Sets]
i:11 [binder, in hydras.Hydra.O2H]
i:11 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:11 [binder, in gaia_hydras.GPaths]
i:11 [binder, in hydras.Epsilon0.Canon]
i:11 [binder, in hydras.solutions_exercises.T1_ltNotWf]
i:110 [binder, in hydras.Epsilon0.F_alpha]
i:110 [binder, in hydras.Epsilon0.Canon]
i:111 [binder, in hydras.Epsilon0.F_alpha]
i:111 [binder, in hydras.Epsilon0.Large_Sets]
i:112 [binder, in hydras.Epsilon0.Large_Sets]
i:112 [binder, in hydras.Epsilon0.Canon]
i:112 [binder, in hydras.Epsilon0.E0]
i:113 [binder, in hydras.Epsilon0.F_alpha]
i:113 [binder, in hydras.Epsilon0.Large_Sets]
i:114 [binder, in hydras.Epsilon0.Large_Sets]
i:115 [binder, in hydras.Epsilon0.Large_Sets]
i:115 [binder, in hydras.Epsilon0.Canon]
i:116 [binder, in hydras.Epsilon0.Large_Sets]
i:116 [binder, in hydras.Hydra.Hydra_Lemmas]
i:119 [binder, in hydras.Hydra.Hydra_Lemmas]
i:119 [binder, in hydras.Hydra.Hydra_Definitions]
i:12 [binder, in gaia_hydras.GF_alpha]
i:12 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:12 [binder, in hydras.Epsilon0.Canon]
i:12 [binder, in hydras.Hydra.Omega2_Small]
i:122 [binder, in hydras.Epsilon0.F_alpha]
i:123 [binder, in hydras.Schutte.Schutte_basics]
i:125 [binder, in hydras.Hydra.Hydra_Lemmas]
i:126 [binder, in hydras.Schutte.Schutte_basics]
i:127 [binder, in additions.fib]
i:128 [binder, in hydras.Schutte.Schutte_basics]
i:128 [binder, in additions.fib]
i:128 [binder, in hydras.Hydra.Hydra_Definitions]
i:129 [binder, in additions.fib]
i:13 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:13 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
i:13 [binder, in hydras.Epsilon0.Paths]
i:130 [binder, in additions.fib]
i:131 [binder, in additions.fib]
i:131 [binder, in hydras.Hydra.Hydra_Definitions]
i:132 [binder, in hydras.Prelude.Iterates]
i:132 [binder, in additions.fib]
i:133 [binder, in additions.fib]
i:14 [binder, in hydras.Hydra.O2H]
i:14 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:14 [binder, in gaia_hydras.GCanon]
i:14 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:14 [binder, in hydras.Epsilon0.Canon]
i:14 [binder, in hydras.Hydra.Hydra_Lemmas]
i:14 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
i:14 [binder, in hydras.Hydra.Omega2_Small]
i:14 [binder, in gaia_hydras.GL_alpha]
i:140 [binder, in gaia_hydras.T1Bridge]
i:142 [binder, in hydras.rpo.term]
i:142 [binder, in hydras.Prelude.Iterates]
i:143 [binder, in hydras.Hydra.Hydra_Definitions]
i:15 [binder, in hydras.Epsilon0.Large_Sets]
i:15 [binder, in gaia_hydras.GLarge_Sets]
i:15 [binder, in hydras.Epsilon0.Paths]
i:150 [binder, in additions.fib]
i:150 [binder, in hydras.Hydra.Hydra_Definitions]
i:153 [binder, in hydras.Prelude.MoreLists]
i:156 [binder, in hydras.Prelude.MoreLists]
i:157 [binder, in gaia_hydras.T1Bridge]
i:158 [binder, in hydras.Prelude.Iterates]
i:159 [binder, in hydras.Prelude.MoreLists]
i:159 [binder, in hydras.Epsilon0.F_alpha]
i:159 [binder, in gaia_hydras.T1Bridge]
i:16 [binder, in hydras.Hydra.O2H]
i:16 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:16 [binder, in gaia_hydras.GCanon]
i:16 [binder, in hydras.Epsilon0.Canon]
i:16 [binder, in gaia_hydras.GL_alpha]
i:161 [binder, in hydras.Epsilon0.F_alpha]
i:162 [binder, in hydras.Prelude.Iterates]
i:163 [binder, in hydras.rpo.term]
i:1638 [binder, in gaia_hydras.nfwfgaia]
i:164 [binder, in hydras.Epsilon0.F_alpha]
i:1641 [binder, in gaia_hydras.nfwfgaia]
i:1644 [binder, in gaia_hydras.nfwfgaia]
i:165 [binder, in hydras.Hydra.Hydra_Definitions]
i:166 [binder, in hydras.Epsilon0.F_alpha]
i:167 [binder, in hydras.Prelude.Iterates]
i:169 [binder, in hydras.Epsilon0.F_alpha]
i:17 [binder, in gaia_hydras.GF_alpha]
i:17 [binder, in additions.Compatibility]
i:17 [binder, in hydras.Prelude.First_toggle]
i:17 [binder, in hydras.Epsilon0.Large_Sets]
i:17 [binder, in hydras.Epsilon0.E0]
i:171 [binder, in hydras.rpo.term]
i:172 [binder, in hydras.Epsilon0.F_alpha]
i:173 [binder, in hydras.Epsilon0.F_alpha]
i:174 [binder, in hydras.Prelude.MoreLists]
i:175 [binder, in hydras.Epsilon0.F_alpha]
i:176 [binder, in hydras.Prelude.Iterates]
i:176 [binder, in hydras.Epsilon0.Paths]
i:177 [binder, in hydras.Prelude.MoreLists]
i:177 [binder, in hydras.Epsilon0.F_alpha]
i:178 [binder, in hydras.Epsilon0.Large_Sets]
i:179 [binder, in hydras.Epsilon0.F_alpha]
i:179 [binder, in hydras.Epsilon0.Paths]
i:18 [binder, in gaia_hydras.GCanon]
i:18 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:18 [binder, in hydras.Epsilon0.E0]
i:181 [binder, in hydras.Prelude.MoreLists]
i:181 [binder, in hydras.Schutte.Schutte_basics]
i:184 [binder, in hydras.Prelude.MoreLists]
i:184 [binder, in hydras.Schutte.Schutte_basics]
i:187 [binder, in hydras.Schutte.Schutte_basics]
i:187 [binder, in hydras.Epsilon0.Paths]
i:189 [binder, in hydras.Epsilon0.Large_Sets]
i:189 [binder, in hydras.Epsilon0.Paths]
i:19 [binder, in hydras.Hydra.O2H]
i:19 [binder, in gaia_hydras.GF_alpha]
i:19 [binder, in hydras.Epsilon0.Large_Sets]
i:19 [binder, in hydras.Hydra.BigBattle]
i:190 [binder, in hydras.rpo.term]
i:190 [binder, in hydras.Schutte.Schutte_basics]
i:191 [binder, in hydras.Epsilon0.Large_Sets]
i:193 [binder, in hydras.Schutte.Schutte_basics]
i:199 [binder, in hydras.Schutte.Schutte_basics]
i:199 [binder, in additions.Addition_Chains]
i:2 [binder, in gaia_hydras.GHprime]
i:2 [binder, in gaia_hydras.GCanon]
i:2 [binder, in hydras.Epsilon0.L_alpha]
i:2 [binder, in hydras.Epsilon0.Canon]
i:2 [binder, in hydras.OrdinalNotations.ON_Finite]
i:2 [binder, in gaia_hydras.GPrelude]
i:2 [binder, in hydras.solutions_exercises.ge_omega_iff]
i:2 [binder, in hydras.Epsilon0.Hprime]
i:2 [binder, in gaia_hydras.GL_alpha]
i:2 [binder, in hydras.solutions_exercises.T1_ltNotWf]
i:20 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:20 [binder, in gaia_hydras.GF_alpha]
i:20 [binder, in gaia_hydras.GPaths]
i:20 [binder, in hydras.Prelude.MoreOrders]
i:202 [binder, in hydras.Epsilon0.Large_Sets]
i:202 [binder, in hydras.Schutte.Schutte_basics]
i:204 [binder, in hydras.Schutte.Schutte_basics]
i:204 [binder, in hydras.Epsilon0.Paths]
i:205 [binder, in hydras.Schutte.Schutte_basics]
i:206 [binder, in hydras.Schutte.Schutte_basics]
i:207 [binder, in hydras.Epsilon0.Paths]
i:208 [binder, in hydras.Schutte.Schutte_basics]
i:21 [binder, in hydras.Hydra.O2H]
i:21 [binder, in gaia_hydras.GF_alpha]
i:21 [binder, in additions.More_on_positive]
i:21 [binder, in hydras.Epsilon0.Large_Sets]
i:21 [binder, in hydras.Schutte.AP]
i:21 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:21 [binder, in hydras.Epsilon0.Canon]
i:210 [binder, in hydras.Epsilon0.Paths]
i:214 [binder, in hydras.Epsilon0.Paths]
i:217 [binder, in hydras.Epsilon0.Paths]
i:218 [binder, in hydras.Prelude.MoreLists]
i:22 [binder, in gaia_hydras.GF_alpha]
i:22 [binder, in gaia_hydras.GCanon]
i:22 [binder, in hydras.Schutte.AP]
i:22 [binder, in hydras.Prelude.MoreOrders]
i:221 [binder, in hydras.Epsilon0.Paths]
i:226 [binder, in hydras.Epsilon0.Paths]
i:23 [binder, in gaia_hydras.GPaths]
i:23 [binder, in hydras.solutions_exercises.T1_ltNotWf]
i:230 [binder, in hydras.Schutte.Schutte_basics]
i:233 [binder, in hydras.Prelude.Iterates]
i:237 [binder, in hydras.Prelude.Iterates]
i:24 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:24 [binder, in hydras.Hydra.O2H]
i:24 [binder, in gaia_hydras.GCanon]
i:24 [binder, in hydras.Schutte.AP]
i:24 [binder, in hydras.Epsilon0.Canon]
i:24 [binder, in additions.fib]
i:240 [binder, in hydras.Prelude.Iterates]
i:241 [binder, in gaia_hydras.nfwfgaia]
i:244 [binder, in hydras.Prelude.Iterates]
i:244 [binder, in gaia_hydras.nfwfgaia]
i:247 [binder, in gaia_hydras.nfwfgaia]
i:248 [binder, in hydras.Prelude.Iterates]
i:25 [binder, in hydras.Schutte.Schutte_basics]
i:25 [binder, in additions.fib]
i:26 [binder, in gaia_hydras.GCanon]
i:26 [binder, in hydras.Schutte.MoreEpsilonIota]
i:26 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:26 [binder, in additions.fib]
i:267 [binder, in hydras.Epsilon0.Paths]
i:27 [binder, in gaia_hydras.GPaths]
i:27 [binder, in hydras.Prelude.MoreOrders]
i:271 [binder, in hydras.Epsilon0.Paths]
i:28 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:28 [binder, in hydras.Epsilon0.F_omega]
i:28 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:28 [binder, in hydras.Hydra.BigBattle]
i:28 [binder, in hydras.Epsilon0.Canon]
i:28 [binder, in hydras.Epsilon0.Paths]
i:280 [binder, in hydras.Epsilon0.Paths]
i:283 [binder, in hydras.Epsilon0.Paths]
i:286 [binder, in hydras.Epsilon0.Paths]
i:29 [binder, in hydras.Prelude.MoreOrders]
i:29 [binder, in additions.fib]
i:29 [binder, in gaia_hydras.GL_alpha]
i:299 [binder, in hydras.Epsilon0.Paths]
i:3 [binder, in hydras.solutions_exercises.is_F_monotonous]
i:3 [binder, in gaia_hydras.GHprime]
i:3 [binder, in gaia_hydras.GCanon]
i:3 [binder, in hydras.Schutte.AP]
i:3 [binder, in gaia_hydras.GL_alpha]
i:3 [binder, in hydras.Hydra.Omega_Small]
i:30 [binder, in gaia_hydras.GCanon]
i:30 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:30 [binder, in hydras.solutions_exercises.MultisetWf]
i:30 [binder, in hydras.Epsilon0.Canon]
i:30 [binder, in hydras.Epsilon0.Paths]
i:31 [binder, in gaia_hydras.GCanon]
i:31 [binder, in hydras.Epsilon0.L_alpha]
i:31 [binder, in hydras.Epsilon0.Hprime]
i:310 [binder, in hydras.Epsilon0.Paths]
i:315 [binder, in hydras.Epsilon0.Paths]
i:318 [binder, in hydras.Epsilon0.Paths]
i:32 [binder, in hydras.Prelude.MoreLists]
i:322 [binder, in hydras.rpo.term]
i:324 [binder, in hydras.Epsilon0.Paths]
i:327 [binder, in hydras.Epsilon0.Paths]
i:33 [binder, in hydras.Prelude.MoreLists]
i:33 [binder, in hydras.Epsilon0.L_alpha]
i:33 [binder, in hydras.Epsilon0.Canon]
i:33 [binder, in hydras.Epsilon0.Hprime]
i:331 [binder, in hydras.Epsilon0.Paths]
i:333 [binder, in hydras.Epsilon0.Paths]
i:337 [binder, in hydras.Epsilon0.Paths]
i:341 [binder, in hydras.rpo.term]
i:341 [binder, in hydras.Epsilon0.Paths]
i:345 [binder, in hydras.Epsilon0.Paths]
i:349 [binder, in hydras.rpo.term]
i:349 [binder, in hydras.Epsilon0.Paths]
i:35 [binder, in hydras.Prelude.MoreLists]
i:35 [binder, in hydras.rpo.more_list]
i:35 [binder, in additions.More_on_positive]
i:35 [binder, in hydras.Epsilon0.L_alpha]
i:35 [binder, in hydras.Hydra.BigBattle]
i:35 [binder, in hydras.Epsilon0.Hprime]
i:353 [binder, in hydras.Epsilon0.Paths]
i:358 [binder, in additions.Euclidean_Chains]
i:36 [binder, in gaia_hydras.GCanon]
i:36 [binder, in hydras.Epsilon0.Canon]
i:36 [binder, in hydras.MoreAck.PrimRecExamples]
i:360 [binder, in hydras.Epsilon0.Paths]
i:364 [binder, in additions.Euclidean_Chains]
i:365 [binder, in hydras.rpo.term]
i:367 [binder, in hydras.rpo.term]
i:37 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:37 [binder, in additions.More_on_positive]
i:37 [binder, in gaia_hydras.GCanon]
i:37 [binder, in hydras.Epsilon0.L_alpha]
i:37 [binder, in hydras.Epsilon0.F_omega]
i:37 [binder, in hydras.Epsilon0.Hprime]
i:370 [binder, in additions.Euclidean_Chains]
i:372 [binder, in hydras.rpo.term]
i:377 [binder, in additions.Euclidean_Chains]
i:38 [binder, in hydras.Epsilon0.L_alpha]
i:38 [binder, in hydras.Epsilon0.Hprime]
i:382 [binder, in hydras.Epsilon0.Paths]
i:4 [binder, in hydras.solutions_exercises.Limit_Infinity]
i:4 [binder, in hydras.Epsilon0.F_alpha]
i:4 [binder, in gaia_hydras.GCanon]
i:4 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:4 [binder, in hydras.Prelude.Exp2]
i:4 [binder, in hydras.Epsilon0.Paths]
i:4 [binder, in hydras.Hydra.Omega_Small]
i:40 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:40 [binder, in hydras.Schutte.Addition]
i:402 [binder, in hydras.Epsilon0.Paths]
i:406 [binder, in hydras.Epsilon0.Paths]
i:41 [binder, in hydras.Epsilon0.F_alpha]
i:41 [binder, in gaia_hydras.GCanon]
i:41 [binder, in hydras.Epsilon0.Canon]
i:412 [binder, in hydras.Epsilon0.Paths]
i:418 [binder, in hydras.Epsilon0.Paths]
i:42 [binder, in hydras.Epsilon0.L_alpha]
i:42 [binder, in additions.fib]
i:42 [binder, in hydras.Epsilon0.Hprime]
i:422 [binder, in hydras.Epsilon0.Paths]
i:424 [binder, in hydras.Epsilon0.T1]
i:426 [binder, in hydras.Epsilon0.Paths]
i:43 [binder, in hydras.Epsilon0.F_alpha]
i:43 [binder, in gaia_hydras.GPaths]
i:430 [binder, in hydras.Epsilon0.Paths]
i:432 [binder, in hydras.Epsilon0.Paths]
i:436 [binder, in hydras.Epsilon0.Paths]
i:44 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:44 [binder, in gaia_hydras.nfwfgaia]
i:441 [binder, in hydras.Epsilon0.Paths]
i:442 [binder, in hydras.Epsilon0.Paths]
i:447 [binder, in hydras.Epsilon0.Paths]
i:45 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:45 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:45 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:45 [binder, in hydras.Epsilon0.Canon]
i:45 [binder, in additions.fib]
i:45 [binder, in hydras.Epsilon0.E0]
i:45 [binder, in gaia_hydras.nfwfgaia]
i:451 [binder, in hydras.Epsilon0.Paths]
i:453 [binder, in hydras.Epsilon0.Paths]
i:457 [binder, in hydras.Epsilon0.Paths]
i:46 [binder, in hydras.Epsilon0.F_alpha]
i:46 [binder, in gaia_hydras.GPaths]
i:46 [binder, in gaia_hydras.GCanon]
i:46 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:46 [binder, in hydras.Epsilon0.Canon]
i:46 [binder, in gaia_hydras.nfwfgaia]
i:461 [binder, in hydras.Epsilon0.Paths]
i:469 [binder, in hydras.Epsilon0.Paths]
i:47 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:47 [binder, in hydras.Hydra.BigBattle]
i:47 [binder, in hydras.Epsilon0.Hprime]
i:47 [binder, in hydras.MoreAck.FolExamples]
i:471 [binder, in hydras.Epsilon0.Paths]
i:476 [binder, in hydras.Epsilon0.Paths]
i:478 [binder, in hydras.Epsilon0.Paths]
i:48 [binder, in hydras.Prelude.MoreLists]
i:48 [binder, in hydras.Epsilon0.F_alpha]
i:48 [binder, in gaia_hydras.GPaths]
i:48 [binder, in hydras.Epsilon0.Paths]
i:480 [binder, in hydras.Epsilon0.Paths]
i:485 [binder, in hydras.Epsilon0.Paths]
i:489 [binder, in hydras.Epsilon0.Paths]
i:49 [binder, in hydras.Prelude.MoreLists]
i:49 [binder, in hydras.Epsilon0.Canon]
i:49 [binder, in hydras.MoreAck.FolExamples]
i:492 [binder, in hydras.Epsilon0.Paths]
i:496 [binder, in hydras.Epsilon0.Paths]
i:5 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:5 [binder, in hydras.solutions_exercises.is_F_monotonous]
i:5 [binder, in hydras.Prelude.MoreLists]
i:5 [binder, in gaia_hydras.GHprime]
i:5 [binder, in hydras.Epsilon0.Large_Sets_Examples]
i:5 [binder, in hydras.solutions_exercises.F_3]
i:5 [binder, in hydras.Prelude.Exp2]
i:5 [binder, in gaia_hydras.GL_alpha]
i:5 [binder, in hydras.Hydra.Omega_Small]
i:5 [binder, in hydras.solutions_exercises.T1_ltNotWf]
i:50 [binder, in gaia_hydras.GPaths]
i:50 [binder, in additions.More_on_positive]
i:500 [binder, in hydras.Epsilon0.Paths]
i:504 [binder, in hydras.Epsilon0.Paths]
i:51 [binder, in hydras.Prelude.MoreLists]
i:51 [binder, in hydras.Epsilon0.F_alpha]
i:51 [binder, in hydras.Hydra.BigBattle]
i:51 [binder, in hydras.Epsilon0.Canon]
i:51 [binder, in additions.fib]
i:51 [binder, in hydras.Hydra.Hydra_Lemmas]
i:51 [binder, in hydras.Hydra.Hydra_Definitions]
i:514 [binder, in hydras.Epsilon0.Paths]
i:52 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:520 [binder, in hydras.Epsilon0.Paths]
i:522 [binder, in hydras.Epsilon0.Paths]
i:527 [binder, in hydras.Epsilon0.Paths]
i:53 [binder, in hydras.Prelude.MoreLists]
i:53 [binder, in gaia_hydras.GPaths]
i:53 [binder, in additions.More_on_positive]
i:53 [binder, in hydras.Epsilon0.Canon]
i:530 [binder, in hydras.Epsilon0.Paths]
i:533 [binder, in hydras.Epsilon0.Paths]
i:54 [binder, in hydras.Epsilon0.F_alpha]
i:54 [binder, in hydras.Epsilon0.L_alpha]
i:54 [binder, in additions.fib]
i:54 [binder, in hydras.Epsilon0.Paths]
i:544 [binder, in hydras.Epsilon0.Paths]
i:545 [binder, in hydras.Epsilon0.Paths]
i:546 [binder, in hydras.Epsilon0.Paths]
i:55 [binder, in hydras.Prelude.MoreLists]
i:55 [binder, in hydras.Epsilon0.F_alpha]
i:55 [binder, in gaia_hydras.GCanon]
i:55 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:55 [binder, in hydras.Epsilon0.Canon]
i:55 [binder, in hydras.Hydra.Hydra_Definitions]
i:554 [binder, in hydras.Epsilon0.Paths]
i:56 [binder, in hydras.Epsilon0.L_alpha]
i:56 [binder, in hydras.Hydra.Hydra_Lemmas]
i:56 [binder, in hydras.Epsilon0.Hprime]
i:560 [binder, in hydras.Epsilon0.Paths]
i:567 [binder, in hydras.Epsilon0.Paths]
i:57 [binder, in hydras.Prelude.MoreLists]
i:57 [binder, in hydras.Epsilon0.F_alpha]
i:57 [binder, in additions.More_on_positive]
i:57 [binder, in gaia_hydras.GCanon]
i:57 [binder, in hydras.Epsilon0.Paths]
i:571 [binder, in hydras.Epsilon0.Paths]
i:574 [binder, in hydras.Epsilon0.Paths]
i:579 [binder, in hydras.Epsilon0.Paths]
i:58 [binder, in hydras.Epsilon0.Hprime]
i:580 [binder, in hydras.Epsilon0.Paths]
i:585 [binder, in hydras.Epsilon0.Paths]
i:588 [binder, in hydras.Epsilon0.Paths]
i:59 [binder, in hydras.Prelude.MoreLists]
i:59 [binder, in hydras.Epsilon0.F_alpha]
i:59 [binder, in hydras.Epsilon0.Canon]
i:59 [binder, in additions.fib]
i:6 [binder, in gaia_hydras.GCanon]
i:6 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:6 [binder, in hydras.solutions_exercises.F_3]
i:6 [binder, in hydras.Hydra.Omega2_Small]
i:60 [binder, in hydras.Prelude.Iterates]
i:60 [binder, in hydras.Epsilon0.F_alpha]
i:60 [binder, in additions.More_on_positive]
i:60 [binder, in gaia_hydras.GCanon]
i:60 [binder, in hydras.Epsilon0.L_alpha]
i:61 [binder, in hydras.Epsilon0.F_alpha]
i:61 [binder, in hydras.Epsilon0.E0]
i:61 [binder, in hydras.Hydra.Hydra_Lemmas]
i:61 [binder, in hydras.Epsilon0.Hprime]
i:61 [binder, in hydras.Epsilon0.Paths]
i:62 [binder, in hydras.Epsilon0.F_alpha]
i:62 [binder, in gaia_hydras.GPaths]
i:62 [binder, in hydras.Hydra.BigBattle]
i:63 [binder, in hydras.Epsilon0.Canon]
i:63 [binder, in hydras.Epsilon0.E0]
i:64 [binder, in hydras.Epsilon0.Canon]
i:64 [binder, in hydras.Epsilon0.E0]
i:64 [binder, in hydras.Hydra.Hydra_Lemmas]
i:64 [binder, in hydras.Epsilon0.Paths]
i:65 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:65 [binder, in hydras.Hydra.BigBattle]
i:65 [binder, in hydras.Epsilon0.Canon]
i:66 [binder, in gaia_hydras.GPaths]
i:66 [binder, in hydras.Hydra.BigBattle]
i:66 [binder, in hydras.Epsilon0.Canon]
i:67 [binder, in hydras.Epsilon0.Large_Sets]
i:67 [binder, in hydras.Epsilon0.Canon]
i:68 [binder, in hydras.OrdinalNotations.ON_Omega2]
i:68 [binder, in hydras.MoreAck.AckNotPR]
i:68 [binder, in hydras.Epsilon0.Canon]
i:68 [binder, in hydras.Hydra.Hydra_Lemmas]
i:68 [binder, in hydras.MoreAck.PrimRecExamples]
i:687 [binder, in hydras.Epsilon0.T1]
i:689 [binder, in hydras.Epsilon0.T1]
i:69 [binder, in gaia_hydras.GCanon]
i:69 [binder, in hydras.Epsilon0.Large_Sets]
i:69 [binder, in hydras.Epsilon0.Canon]
i:69 [binder, in hydras.Epsilon0.Paths]
i:693 [binder, in hydras.Epsilon0.T1]
i:696 [binder, in hydras.Epsilon0.T1]
i:7 [binder, in gaia_hydras.GHprime]
i:7 [binder, in gaia_hydras.GPaths]
i:7 [binder, in gaia_hydras.GCanon]
i:7 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
i:7 [binder, in hydras.Epsilon0.Canon]
i:7 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
i:7 [binder, in gaia_hydras.GL_alpha]
i:70 [binder, in hydras.MoreAck.AckNotPR]
i:70 [binder, in hydras.Epsilon0.Large_Sets]
i:70 [binder, in hydras.Hydra.BigBattle]
i:70 [binder, in hydras.Epsilon0.Canon]
i:70 [binder, in hydras.Epsilon0.Hprime]
i:702 [binder, in hydras.Epsilon0.T1]
i:703 [binder, in hydras.Epsilon0.T1]
i:71 [binder, in gaia_hydras.GCanon]
i:71 [binder, in hydras.Epsilon0.Large_Sets]
i:71 [binder, in hydras.Schutte.AP]
i:71 [binder, in hydras.Epsilon0.Canon]
i:71 [binder, in hydras.Epsilon0.Paths]
i:717 [binder, in hydras.Epsilon0.T1]
i:73 [binder, in gaia_hydras.GPaths]
i:73 [binder, in hydras.Epsilon0.Large_Sets]
i:73 [binder, in hydras.Epsilon0.Paths]
i:74 [binder, in hydras.Epsilon0.Large_Sets]
i:74 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:74 [binder, in hydras.Epsilon0.Canon]
i:74 [binder, in hydras.Hydra.Hydra_Lemmas]
i:75 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:75 [binder, in hydras.MoreAck.PrimRecExamples]
i:76 [binder, in hydras.Epsilon0.Canon]
i:77 [binder, in hydras.Hydra.Hydra_Lemmas]
i:78 [binder, in hydras.Epsilon0.Large_Sets]
i:78 [binder, in hydras.Epsilon0.Canon]
i:79 [binder, in gaia_hydras.GPaths]
i:79 [binder, in hydras.Epsilon0.Large_Sets]
i:8 [binder, in gaia_hydras.GPaths]
i:8 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:8 [binder, in hydras.Hydra.Omega2_Small]
i:80 [binder, in hydras.Epsilon0.Large_Sets]
i:81 [binder, in hydras.Epsilon0.Large_Sets]
i:81 [binder, in hydras.Epsilon0.Canon]
i:81 [binder, in hydras.Epsilon0.Paths]
i:82 [binder, in hydras.Prelude.MoreLists]
i:82 [binder, in hydras.Epsilon0.Large_Sets]
i:83 [binder, in hydras.Hydra.O2H]
i:83 [binder, in hydras.Epsilon0.Paths]
i:84 [binder, in hydras.Prelude.MoreLists]
i:84 [binder, in hydras.Epsilon0.Large_Sets]
i:84 [binder, in hydras.MoreAck.PrimRecExamples]
i:85 [binder, in hydras.Gamma0.T2]
i:85 [binder, in hydras.Hydra.O2H]
i:85 [binder, in hydras.Hydra.Hydra_Lemmas]
i:85 [binder, in hydras.Epsilon0.Paths]
i:86 [binder, in hydras.Epsilon0.Hprime]
i:87 [binder, in hydras.Epsilon0.Large_Sets]
i:87 [binder, in hydras.Hydra.Hydra_Lemmas]
i:88 [binder, in hydras.Prelude.MoreLists]
i:88 [binder, in hydras.Epsilon0.Canon]
i:88 [binder, in hydras.Epsilon0.E0]
i:89 [binder, in hydras.Prelude.Iterates]
i:89 [binder, in hydras.Prelude.MoreLists]
i:89 [binder, in hydras.Epsilon0.Large_Sets]
i:89 [binder, in hydras.Hydra.Hydra_Lemmas]
i:9 [binder, in hydras.Prelude.MoreLists]
i:9 [binder, in hydras.Hydra.Hydra_Lemmas]
i:9 [binder, in hydras.Epsilon0.Paths]
i:9 [binder, in gaia_hydras.GL_alpha]
i:90 [binder, in hydras.Epsilon0.Large_Sets]
i:91 [binder, in hydras.Epsilon0.Large_Sets]
i:91 [binder, in hydras.Epsilon0.Paths]
i:92 [binder, in hydras.Prelude.MoreLists]
i:92 [binder, in hydras.Hydra.Hydra_Lemmas]
i:94 [binder, in hydras.Prelude.MoreLists]
i:94 [binder, in hydras.Epsilon0.E0]
i:95 [binder, in hydras.Prelude.Iterates]
i:95 [binder, in hydras.Hydra.O2H]
i:95 [binder, in hydras.Epsilon0.Canon]
i:95 [binder, in hydras.Hydra.Hydra_Lemmas]
i:96 [binder, in hydras.OrdinalNotations.OmegaOmega]
i:97 [binder, in hydras.Hydra.O2H]
i:97 [binder, in hydras.Epsilon0.E0]
i:98 [binder, in hydras.Epsilon0.F_alpha]
i:99 [binder, in hydras.Epsilon0.Canon]

J

j:102 [binder, in hydras.Prelude.Iterates]
j:103 [binder, in hydras.Prelude.MoreLists]
j:106 [binder, in hydras.Prelude.MoreLists]
j:106 [binder, in hydras.Hydra.Hydra_Lemmas]
j:109 [binder, in hydras.Epsilon0.T1]
j:11 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:11 [binder, in hydras.Hydra.Omega2_Small]
j:12 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
j:120 [binder, in hydras.Hydra.Hydra_Lemmas]
j:124 [binder, in hydras.Prelude.Iterates]
j:125 [binder, in hydras.Schutte.Schutte_basics]
j:126 [binder, in hydras.Hydra.Hydra_Lemmas]
j:127 [binder, in hydras.Prelude.Iterates]
j:127 [binder, in hydras.Schutte.Schutte_basics]
j:129 [binder, in hydras.Schutte.Schutte_basics]
j:13 [binder, in hydras.Hydra.Omega2_Small]
j:130 [binder, in hydras.Prelude.Iterates]
j:133 [binder, in hydras.Hydra.Hydra_Definitions]
j:15 [binder, in hydras.solutions_exercises.Limit_Infinity]
j:15 [binder, in hydras.Hydra.Omega2_Small]
j:151 [binder, in additions.fib]
j:154 [binder, in hydras.Prelude.MoreLists]
j:155 [binder, in hydras.rpo.term]
j:157 [binder, in hydras.Prelude.MoreLists]
j:16 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
j:160 [binder, in hydras.Prelude.MoreLists]
j:168 [binder, in hydras.Prelude.Iterates]
j:17 [binder, in hydras.solutions_exercises.Limit_Infinity]
j:182 [binder, in hydras.Schutte.Schutte_basics]
j:183 [binder, in hydras.Prelude.MoreLists]
j:185 [binder, in hydras.Prelude.MoreLists]
j:194 [binder, in hydras.Schutte.Schutte_basics]
j:200 [binder, in additions.Addition_Chains]
j:203 [binder, in hydras.Schutte.Schutte_basics]
j:21 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:23 [binder, in hydras.Schutte.AP]
j:238 [binder, in hydras.Prelude.Iterates]
j:243 [binder, in hydras.Prelude.Iterates]
j:247 [binder, in hydras.Prelude.Iterates]
j:25 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:25 [binder, in gaia_hydras.GPaths]
j:25 [binder, in hydras.Schutte.AP]
j:251 [binder, in hydras.Prelude.Iterates]
j:29 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:3 [binder, in gaia_hydras.GPrelude]
j:31 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:333 [binder, in hydras.rpo.term]
j:338 [binder, in hydras.Epsilon0.Paths]
j:34 [binder, in hydras.Prelude.MoreLists]
j:36 [binder, in hydras.Prelude.MoreLists]
j:39 [binder, in hydras.Hydra.BigBattle]
j:404 [binder, in hydras.Epsilon0.Paths]
j:408 [binder, in hydras.Epsilon0.Paths]
j:41 [binder, in hydras.Schutte.Addition]
j:414 [binder, in hydras.Epsilon0.Paths]
j:416 [binder, in hydras.Epsilon0.Paths]
j:42 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:420 [binder, in hydras.Epsilon0.Paths]
j:424 [binder, in hydras.Epsilon0.Paths]
j:428 [binder, in hydras.Epsilon0.Paths]
j:43 [binder, in additions.fib]
j:434 [binder, in hydras.Epsilon0.Paths]
j:438 [binder, in hydras.Epsilon0.Paths]
j:449 [binder, in hydras.Epsilon0.Paths]
j:455 [binder, in hydras.Epsilon0.Paths]
j:458 [binder, in hydras.Epsilon0.Paths]
j:46 [binder, in additions.fib]
j:463 [binder, in hydras.Epsilon0.Paths]
j:465 [binder, in hydras.Epsilon0.Paths]
j:47 [binder, in hydras.Prelude.MoreLists]
j:481 [binder, in hydras.Epsilon0.Paths]
j:49 [binder, in hydras.OrdinalNotations.OmegaOmega]
j:493 [binder, in hydras.Epsilon0.Paths]
j:497 [binder, in hydras.Epsilon0.Paths]
j:5 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:50 [binder, in hydras.Prelude.MoreLists]
j:501 [binder, in hydras.Epsilon0.Paths]
j:506 [binder, in hydras.Epsilon0.Paths]
j:515 [binder, in hydras.Epsilon0.Paths]
j:52 [binder, in additions.fib]
j:521 [binder, in hydras.Epsilon0.Paths]
j:524 [binder, in hydras.Epsilon0.Paths]
j:531 [binder, in hydras.Epsilon0.Paths]
j:54 [binder, in hydras.Prelude.MoreLists]
j:54 [binder, in gaia_hydras.GPaths]
j:55 [binder, in hydras.Hydra.BigBattle]
j:55 [binder, in additions.fib]
j:555 [binder, in hydras.Epsilon0.Paths]
j:559 [binder, in hydras.Epsilon0.Paths]
j:568 [binder, in hydras.Epsilon0.Paths]
j:57 [binder, in hydras.OrdinalNotations.OmegaOmega]
j:575 [binder, in hydras.Epsilon0.Paths]
j:58 [binder, in hydras.Prelude.MoreLists]
j:6 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:6 [binder, in hydras.Prelude.MoreLists]
j:6 [binder, in hydras.Epsilon0.Large_Sets_Examples]
j:60 [binder, in hydras.Prelude.MoreLists]
j:60 [binder, in additions.fib]
j:61 [binder, in hydras.Prelude.Iterates]
j:61 [binder, in additions.More_on_positive]
j:61 [binder, in gaia_hydras.GCanon]
j:63 [binder, in gaia_hydras.GPaths]
j:65 [binder, in hydras.Epsilon0.Paths]
j:66 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:69 [binder, in hydras.OrdinalNotations.ON_Omega2]
j:7 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:7 [binder, in hydras.Hydra.Omega2_Small]
j:70 [binder, in hydras.Hydra.Hydra_Lemmas]
j:74 [binder, in gaia_hydras.GPaths]
j:75 [binder, in hydras.Epsilon0.Paths]
j:77 [binder, in hydras.Epsilon0.Paths]
j:78 [binder, in gaia_hydras.GPaths]
j:79 [binder, in hydras.Epsilon0.Canon]
j:79 [binder, in hydras.Hydra.Hydra_Lemmas]
j:8 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
j:82 [binder, in hydras.Epsilon0.Canon]
j:83 [binder, in hydras.Prelude.MoreLists]
j:85 [binder, in hydras.Prelude.MoreLists]
j:87 [binder, in hydras.Epsilon0.Paths]
j:9 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:9 [binder, in hydras.Hydra.Omega2_Small]
j:90 [binder, in hydras.Prelude.Iterates]
j:90 [binder, in hydras.Prelude.MoreLists]
j:90 [binder, in hydras.Hydra.Hydra_Lemmas]
j:92 [binder, in hydras.Epsilon0.Paths]
j:94 [binder, in hydras.Hydra.Hydra_Lemmas]
j:95 [binder, in hydras.Prelude.MoreLists]
j:96 [binder, in hydras.Prelude.Iterates]
j:96 [binder, in hydras.Epsilon0.Canon]
j:97 [binder, in hydras.Hydra.Hydra_Lemmas]
j:99 [binder, in hydras.Hydra.O2H]

K

kbr:222 [binder, in additions.Euclidean_Chains]
kbr:231 [binder, in additions.Euclidean_Chains]
kbr:293 [binder, in additions.Euclidean_Chains]
kbr:298 [binder, in additions.Euclidean_Chains]
Kchain [definition, in additions.Euclidean_Chains]
Kchain_correct [definition, in additions.AM]
Kchain_correct_conv [lemma, in additions.Euclidean_Chains]
Kchain_proper_prf [projection, in additions.Euclidean_Chains]
Kchain_proper [record, in additions.Euclidean_Chains]
Kchain_proper_prf [constructor, in additions.Euclidean_Chains]
Kchain_proper [inductive, in additions.Euclidean_Chains]
Kchain_correct [definition, in additions.Euclidean_Chains]
Kchain_correct_nat [definition, in additions.Euclidean_Chains]
kc:181 [binder, in additions.Euclidean_Chains]
kc:191 [binder, in additions.Euclidean_Chains]
kc:192 [binder, in additions.Euclidean_Chains]
kc:204 [binder, in additions.Euclidean_Chains]
kc:218 [binder, in additions.Euclidean_Chains]
kc:221 [binder, in additions.Euclidean_Chains]
KFF [definition, in additions.AM]
KFF [definition, in additions.Euclidean_Chains]
KFF_correct [lemma, in additions.AM]
KFF_correct [lemma, in additions.Euclidean_Chains]
KFF_proper [instance, in additions.Euclidean_Chains]
KFF_correct_nat [lemma, in additions.Euclidean_Chains]
KFK [definition, in additions.AM]
KFK [definition, in additions.Euclidean_Chains]
KFK_correct [lemma, in additions.AM]
KFK_correct [lemma, in additions.Euclidean_Chains]
KFK_proper [lemma, in additions.Euclidean_Chains]
KFK_correct_nat [lemma, in additions.Euclidean_Chains]
KFK_proof.Hq_prop [variable, in additions.Euclidean_Chains]
KFK_proof.Hbr_prop [variable, in additions.Euclidean_Chains]
KFK_proof.Hq [variable, in additions.Euclidean_Chains]
KFK_proof.Hbr [variable, in additions.Euclidean_Chains]
KFK_proof.fq [variable, in additions.Euclidean_Chains]
KFK_proof.kbr [variable, in additions.Euclidean_Chains]
KFK_proof.r [variable, in additions.Euclidean_Chains]
KFK_proof.q [variable, in additions.Euclidean_Chains]
KFK_proof.b [variable, in additions.Euclidean_Chains]
KFK_proof [section, in additions.Euclidean_Chains]
khi:170 [binder, in hydras.Schutte.Ordering_Functions]
khi:171 [binder, in hydras.Schutte.Ordering_Functions]
khi:172 [binder, in hydras.Schutte.Ordering_Functions]
khi:173 [binder, in hydras.Schutte.Ordering_Functions]
khi:49 [binder, in hydras.Schutte.Addition]
khi:92 [binder, in hydras.Schutte.Ordering_Functions]
khi:93 [binder, in hydras.Schutte.Ordering_Functions]
Kkont [definition, in additions.Euclidean_Chains]
Kkont_equiv [definition, in additions.Euclidean_Chains]
Kkont_proper [definition, in additions.Euclidean_Chains]
knp:207 [binder, in additions.Euclidean_Chains]
knp:211 [binder, in additions.Euclidean_Chains]
kont_type [definition, in additions.Euclidean_Chains]
KP [section, in hydras.Hydra.KP_example]
kpr:27 [binder, in additions.AM]
kpr:31 [binder, in additions.AM]
KP_5_iii [lemma, in hydras.Epsilon0.Paths]
KP_arrowS_zero [lemma, in hydras.Epsilon0.Paths]
KP_arrowS [definition, in hydras.Epsilon0.Paths]
KP_example [library]
KP.h' [variable, in hydras.Hydra.KP_example]
ksi_plus_beta_eq [lemma, in hydras.Schutte.AP]
ksi_plus_beta [lemma, in hydras.Schutte.AP]
ksi_plus_seq_n' [lemma, in hydras.Schutte.AP]
ksi_plus_seq_n [lemma, in hydras.Schutte.AP]
ksi:58 [binder, in hydras.Schutte.AP]
KS_thm_2_4 [lemma, in gaia_hydras.GPaths]
KS_thm_2_4_E0 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma5 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma4 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma3 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma3_0 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma2 [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma1' [lemma, in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma1 [lemma, in hydras.Epsilon0.Paths]
k':105 [binder, in additions.Euclidean_Chains]
k':116 [binder, in additions.Euclidean_Chains]
k':174 [binder, in additions.Euclidean_Chains]
k':200 [binder, in additions.Euclidean_Chains]
k10_7:330 [binder, in additions.Euclidean_Chains]
k17_7 [definition, in additions.Euclidean_Chains]
K2F [definition, in additions.Euclidean_Chains]
K2F_proper [instance, in additions.Euclidean_Chains]
K2F_correct [lemma, in additions.Euclidean_Chains]
K2F_correct_nat [lemma, in additions.Euclidean_Chains]
k3_1_proper [lemma, in additions.Euclidean_Chains]
k3_1_correct [lemma, in additions.Euclidean_Chains]
k3_1 [definition, in additions.Euclidean_Chains]
k7_3:329 [binder, in additions.Euclidean_Chains]
k7_3_correct [lemma, in additions.Euclidean_Chains]
k7_3_proper [instance, in additions.Euclidean_Chains]
k7_3 [definition, in additions.Euclidean_Chains]
K99_24 [definition, in additions.AM]
k:10 [binder, in hydras.Hydra.Hydra_Theorems]
k:102 [binder, in hydras.Epsilon0.Canon]
k:104 [binder, in additions.Euclidean_Chains]
k:107 [binder, in hydras.Prelude.MoreLists]
k:107 [binder, in hydras.Epsilon0.Canon]
k:11 [binder, in hydras.Epsilon0.Large_Sets]
k:11 [binder, in gaia_hydras.GL_alpha]
k:110 [binder, in hydras.Epsilon0.Large_Sets]
k:115 [binder, in additions.Euclidean_Chains]
k:117 [binder, in hydras.Epsilon0.Large_Sets]
k:118 [binder, in hydras.Epsilon0.Large_Sets]
k:12 [binder, in additions.Euclidean_Chains]
k:12 [binder, in gaia_hydras.GLarge_Sets]
k:12 [binder, in gaia_hydras.GL_alpha]
k:122 [binder, in hydras.Epsilon0.Large_Sets]
k:122 [binder, in hydras.Epsilon0.Hprime]
k:133 [binder, in hydras.Prelude.Iterates]
k:137 [binder, in hydras.Hydra.Hydra_Definitions]
k:14 [binder, in hydras.Epsilon0.Large_Sets]
k:1402 [binder, in gaia_hydras.nfwfgaia]
k:143 [binder, in hydras.Prelude.Iterates]
k:143 [binder, in additions.Euclidean_Chains]
k:15 [binder, in additions.fib]
k:15 [binder, in hydras.rpo.dickson]
k:151 [binder, in additions.Euclidean_Chains]
k:153 [binder, in hydras.Prelude.Iterates]
k:156 [binder, in additions.Euclidean_Chains]
k:16 [binder, in hydras.Epsilon0.T1]
k:16 [binder, in gaia_hydras.GHprime]
k:16 [binder, in gaia_hydras.GHydra]
k:166 [binder, in hydras.Prelude.Iterates]
k:167 [binder, in additions.Euclidean_Chains]
k:17 [binder, in hydras.Epsilon0.F_omega]
k:17 [binder, in hydras.MoreAck.Ack]
k:173 [binder, in additions.Euclidean_Chains]
k:18 [binder, in gaia_hydras.GHydra]
k:187 [binder, in hydras.Prelude.Iterates]
k:187 [binder, in additions.Euclidean_Chains]
k:1889 [binder, in gaia_hydras.nfwfgaia]
k:194 [binder, in hydras.Prelude.Iterates]
k:199 [binder, in additions.Euclidean_Chains]
k:2 [binder, in hydras.Hydra.Hydra_Theorems]
k:20 [binder, in gaia_hydras.GL_alpha]
k:2013 [binder, in gaia_hydras.nfwfgaia]
k:207 [binder, in hydras.Prelude.Iterates]
k:209 [binder, in additions.Euclidean_Chains]
k:21 [binder, in gaia_hydras.GHydra]
k:210 [binder, in hydras.Prelude.Iterates]
k:211 [binder, in hydras.Prelude.Iterates]
k:212 [binder, in hydras.Prelude.Iterates]
k:213 [binder, in hydras.Prelude.Iterates]
k:22 [binder, in hydras.OrdinalNotations.ON_Omega2]
k:22 [binder, in additions.Euclidean_Chains]
k:22 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
k:225 [binder, in additions.Euclidean_Chains]
k:226 [binder, in hydras.Prelude.Iterates]
k:23 [binder, in hydras.Prelude.More_Arith]
k:23 [binder, in gaia_hydras.GL_alpha]
k:234 [binder, in hydras.Prelude.Iterates]
k:236 [binder, in additions.Euclidean_Chains]
k:242 [binder, in additions.Euclidean_Chains]
k:25 [binder, in hydras.Epsilon0.Large_Sets]
k:252 [binder, in hydras.Prelude.Iterates]
k:26 [binder, in hydras.OrdinalNotations.ON_Omega2]
k:26 [binder, in gaia_hydras.GL_alpha]
k:260 [binder, in hydras.rpo.rpo]
k:32 [binder, in hydras.MoreAck.AckNotPR]
k:38 [binder, in hydras.Epsilon0.Large_Sets]
k:39 [binder, in hydras.Epsilon0.L_alpha]
k:39 [binder, in hydras.Epsilon0.Hprime]
k:4 [binder, in additions.Euclidean_Chains]
k:40 [binder, in hydras.Epsilon0.L_alpha]
k:40 [binder, in additions.Euclidean_Chains]
k:40 [binder, in hydras.Epsilon0.Hprime]
k:40 [binder, in hydras.MoreAck.PrimRecExamples]
k:410 [binder, in hydras.Epsilon0.Paths]
k:43 [binder, in hydras.Hydra.BigBattle]
k:43 [binder, in hydras.Epsilon0.Hprime]
k:44 [binder, in hydras.Epsilon0.Large_Sets]
k:44 [binder, in hydras.Epsilon0.Hprime]
k:45 [binder, in hydras.Epsilon0.Hprime]
k:46 [binder, in hydras.Epsilon0.L_alpha]
k:46 [binder, in hydras.Epsilon0.Hprime]
k:467 [binder, in hydras.Epsilon0.Paths]
k:47 [binder, in hydras.Epsilon0.Large_Sets]
k:48 [binder, in hydras.Epsilon0.Hprime]
k:49 [binder, in hydras.Epsilon0.Hprime]
k:508 [binder, in hydras.Epsilon0.Paths]
k:51 [binder, in hydras.Epsilon0.Large_Sets]
k:51 [binder, in hydras.Epsilon0.L_alpha]
k:52 [binder, in hydras.Epsilon0.L_alpha]
k:53 [binder, in hydras.Epsilon0.L_alpha]
k:53 [binder, in hydras.Epsilon0.Hprime]
k:54 [binder, in hydras.Epsilon0.Hprime]
k:54 [binder, in gaia_hydras.nfwfgaia]
k:541 [binder, in hydras.Epsilon0.Paths]
k:55 [binder, in hydras.Epsilon0.L_alpha]
k:57 [binder, in hydras.Epsilon0.Hprime]
k:578 [binder, in hydras.Epsilon0.Paths]
k:58 [binder, in hydras.Epsilon0.Large_Sets]
k:58 [binder, in additions.Euclidean_Chains]
k:58 [binder, in gaia_hydras.nfwfgaia]
k:59 [binder, in hydras.Epsilon0.Hprime]
k:6 [binder, in hydras.Hydra.Hydra_Theorems]
k:6 [binder, in hydras.Hydra.Battle_length]
k:60 [binder, in gaia_hydras.nfwfgaia]
k:62 [binder, in hydras.Epsilon0.Hprime]
k:63 [binder, in hydras.Epsilon0.Large_Sets]
k:64 [binder, in hydras.Epsilon0.Hprime]
k:65 [binder, in hydras.Epsilon0.Large_Sets]
k:66 [binder, in hydras.Epsilon0.Large_Sets]
k:66 [binder, in hydras.Epsilon0.Hprime]
k:67 [binder, in hydras.Epsilon0.Hprime]
k:68 [binder, in hydras.Epsilon0.Large_Sets]
k:69 [binder, in hydras.Epsilon0.Hprime]
k:7 [binder, in hydras.OrdinalNotations.ON_Omega2]
k:7 [binder, in hydras.Hydra.Hydra_Theorems]
k:7 [binder, in additions.Addition_Chains]
k:71 [binder, in hydras.Epsilon0.Hprime]
k:72 [binder, in hydras.Epsilon0.Large_Sets]
k:72 [binder, in hydras.Hydra.Hydra_Lemmas]
k:72 [binder, in hydras.Epsilon0.Hprime]
k:73 [binder, in additions.Euclidean_Chains]
k:73 [binder, in hydras.Epsilon0.Hprime]
k:74 [binder, in hydras.Epsilon0.Hprime]
k:75 [binder, in hydras.Epsilon0.Large_Sets]
k:76 [binder, in hydras.Epsilon0.Large_Sets]
k:77 [binder, in hydras.Epsilon0.Large_Sets]
k:77 [binder, in hydras.MoreAck.Ack]
k:79 [binder, in hydras.Epsilon0.Hprime]
k:8 [binder, in gaia_hydras.GHprime]
k:8 [binder, in hydras.Epsilon0.Large_Sets]
k:8 [binder, in hydras.Hydra.Hydra_Theorems]
k:8 [binder, in hydras.Hydra.Battle_length]
k:80 [binder, in hydras.Epsilon0.Hprime]
k:81 [binder, in hydras.Prelude.MoreLists]
k:83 [binder, in hydras.Epsilon0.Large_Sets]
k:83 [binder, in hydras.Epsilon0.Hprime]
k:84 [binder, in hydras.Epsilon0.Hprime]
k:85 [binder, in hydras.Epsilon0.Large_Sets]
k:88 [binder, in hydras.Epsilon0.Hprime]
k:880 [binder, in gaia_hydras.nfwfgaia]
k:9 [binder, in gaia_hydras.GHprime]
k:9 [binder, in hydras.Hydra.Hydra_Theorems]
k:9 [binder, in additions.Euclidean_Chains]
k:90 [binder, in hydras.Epsilon0.Hprime]
k:91 [binder, in hydras.Prelude.MoreLists]
k:91 [binder, in hydras.Epsilon0.Hprime]
k:92 [binder, in hydras.Epsilon0.Large_Sets]
k:93 [binder, in hydras.MoreAck.AckNotPR]
k:93 [binder, in hydras.Epsilon0.Large_Sets]
k:93 [binder, in additions.Euclidean_Chains]
k:94 [binder, in hydras.Epsilon0.Hprime]
k:95 [binder, in hydras.MoreAck.AckNotPR]
k:95 [binder, in hydras.Epsilon0.Large_Sets]
k:96 [binder, in hydras.Epsilon0.Large_Sets]
k:99 [binder, in hydras.Prelude.Iterates]

L

L [lemma, in hydras.Epsilon0.F_omega]
L [lemma, in hydras.solutions_exercises.F_3]
L [lemma, in additions.Addition_Chains]
lambda:13 [binder, in hydras.Epsilon0.Canon]
lambda:15 [binder, in hydras.Epsilon0.Canon]
lambda:156 [binder, in gaia_hydras.T1Bridge]
lambda:161 [binder, in gaia_hydras.T1Bridge]
lambda:18 [binder, in hydras.Epsilon0.Canon]
lambda:20 [binder, in hydras.Epsilon0.Canon]
lambda:209 [binder, in hydras.Epsilon0.Paths]
lambda:213 [binder, in hydras.Epsilon0.Paths]
lambda:23 [binder, in gaia_hydras.GCanon]
lambda:23 [binder, in hydras.Epsilon0.Canon]
lambda:27 [binder, in hydras.Epsilon0.Canon]
lambda:29 [binder, in hydras.Schutte.Schutte_basics]
lambda:32 [binder, in gaia_hydras.GCanon]
lambda:336 [binder, in hydras.Epsilon0.Paths]
lambda:43 [binder, in gaia_hydras.GCanon]
lambda:49 [binder, in gaia_hydras.GCanon]
lambda:53 [binder, in gaia_hydras.GCanon]
lambda:566 [binder, in hydras.Epsilon0.Paths]
lambda:58 [binder, in gaia_hydras.GCanon]
lambda:59 [binder, in gaia_hydras.GCanon]
lambda:60 [binder, in hydras.Epsilon0.Canon]
lambda:61 [binder, in gaia_hydras.GPaths]
lambda:61 [binder, in hydras.Epsilon0.Canon]
lambda:62 [binder, in hydras.Hydra.O2H]
lambda:65 [binder, in gaia_hydras.GCanon]
lambda:686 [binder, in hydras.Epsilon0.T1]
lambda:72 [binder, in hydras.Epsilon0.Canon]
lambda:75 [binder, in hydras.Epsilon0.Canon]
Language [record, in hydras.Ackermann.fol]
language [constructor, in hydras.Ackermann.fol]
Languages [library]
language_decidable [definition, in hydras.Ackermann.fol]
Large [definition, in hydras.Epsilon0.Large_Sets]
large [definition, in hydras.Epsilon0.Large_Sets]
large [definition, in gaia_hydras.GLarge_Sets]
Largeb [definition, in hydras.Epsilon0.Large_Sets]
largeb [definition, in hydras.Epsilon0.Large_Sets]
largeb_n_R [lemma, in hydras.Epsilon0.Large_Sets]
largeb_n [lemma, in hydras.Epsilon0.Large_Sets]
largeb_finite [lemma, in hydras.Epsilon0.Large_Sets]
Largeb_Sb [lemma, in hydras.Epsilon0.Large_Sets]
largeb_Sb [lemma, in hydras.Epsilon0.Large_Sets]
LargeS [definition, in hydras.Epsilon0.Large_Sets]
largeS [definition, in hydras.Epsilon0.Large_Sets]
largeS [definition, in gaia_hydras.GLarge_Sets]
LargeSb [definition, in hydras.Epsilon0.Large_Sets]
largeSb [definition, in hydras.Epsilon0.Large_Sets]
LargeSb_b [lemma, in hydras.Epsilon0.Large_Sets]
largeSb_b [lemma, in hydras.Epsilon0.Large_Sets]
largeS_iff [lemma, in hydras.Epsilon0.Large_Sets]
large_omega_iff [lemma, in hydras.Epsilon0.Large_Sets]
large_omega_2 [lemma, in hydras.Epsilon0.Large_Sets]
large_omega_1 [lemma, in hydras.Epsilon0.Large_Sets]
large_n_iff [lemma, in hydras.Epsilon0.Large_Sets]
large_iff [lemma, in hydras.Epsilon0.Large_Sets]
large_set_check [definition, in hydras.Epsilon0.Large_Sets_Examples]
Large_Sets [library]
Large_Sets_Examples [library]
la:116 [binder, in hydras.rpo.more_list]
la:7 [binder, in hydras.rpo.dickson]
Lcode [record, in hydras.Ackermann.code]
LcodeLNN [instance, in hydras.Ackermann.codeNatToTerm]
LcodeLNT [instance, in hydras.Ackermann.codeNatToTerm]
lc:165 [binder, in hydras.rpo.rpo]
lc:233 [binder, in hydras.rpo.rpo]
lc:242 [binder, in hydras.rpo.rpo]
lc:70 [binder, in hydras.rpo.rpo]
LE [definition, in hydras.Epsilon0.T1]
le [abbreviation, in hydras.Epsilon0.T1]
le [definition, in hydras.Gamma0.T2]
le [abbreviation, in hydras.Prelude.Comparable]
le [definition, in hydras.OrdinalNotations.ON_O]
LE [abbreviation, in gaia_hydras.T1Bridge]
le [definition, in hydras.OrdinalNotations.ON_mult]
le [definition, in hydras.OrdinalNotations.ON_plus]
le [definition, in hydras.Schutte.Schutte_basics]
Le [definition, in hydras.Schutte.Well_Orders]
Least [definition, in hydras.Prelude.MoreOrders]
Least_zero [lemma, in hydras.OrdinalNotations.ON_Omega2]
least_AP [lemma, in hydras.Schutte.AP]
Least_is_0 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Least_not_Limit [lemma, in hydras.Prelude.MoreOrders]
Least_not_Succ [lemma, in hydras.Prelude.MoreOrders]
least_member_of_eq [lemma, in hydras.Schutte.Well_Orders]
least_member_ex_unique [lemma, in hydras.Schutte.Well_Orders]
least_member_unicity [lemma, in hydras.Schutte.Well_Orders]
least_member_glb [lemma, in hydras.Schutte.Well_Orders]
least_member_lower_bound [lemma, in hydras.Schutte.Well_Orders]
least_fixpoint [definition, in hydras.Schutte.Well_Orders]
least_member [definition, in hydras.Schutte.Well_Orders]
leA:48 [binder, in hydras.Prelude.Sort_spec]
leA:62 [binder, in hydras.Prelude.Sort_spec]
leBool [definition, in hydras.Ackermann.primRec]
leb:107 [binder, in hydras.Prelude.Merge_Sort]
leB:11 [binder, in hydras.Prelude.DecPreOrder_Instances]
leb:177 [binder, in hydras.Prelude.Merge_Sort]
leB:18 [binder, in hydras.Prelude.DecPreOrder_Instances]
leb:183 [binder, in hydras.Prelude.Merge_Sort]
leb:185 [binder, in hydras.Prelude.Merge_Sort]
leb:188 [binder, in hydras.Prelude.Merge_Sort]
leb:193 [binder, in hydras.Prelude.Merge_Sort]
leb:195 [binder, in hydras.Prelude.Merge_Sort]
leB:4 [binder, in hydras.Prelude.DecPreOrder_Instances]
leB:49 [binder, in hydras.Prelude.Sort_spec]
leB:63 [binder, in hydras.Prelude.Sort_spec]
leIsPR [instance, in hydras.Ackermann.primRec]
lemmas_on_length [section, in hydras.Gamma0.Gamma0]
Lemma_4_5_2 [lemma, in hydras.Epsilon0.Large_Sets]
Lemma_4_5_1 [lemma, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_2 [lemma, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.H0 [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.H [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Hs [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.s [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.n [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Hbeta [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Halpha [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.beta [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.alpha [variable, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof [section, in hydras.Epsilon0.Large_Sets]
Lemma_4_4_0 [lemma, in hydras.Epsilon0.Paths]
Lemma_4_4_1 [lemma, in hydras.Epsilon0.Paths]
Lemma_4_3 [lemma, in hydras.Epsilon0.Paths]
Lemma_4_3_0 [lemma, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H4 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H1 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H0 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n2 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n1 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n0 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.nf2 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.nf1 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H00 [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.beta [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.alpha [variable, in hydras.Epsilon0.Paths]
Lemma_4_3_Proof [section, in hydras.Epsilon0.Paths]
Lemma2_6_1 [lemma, in gaia_hydras.GPaths]
Lemma2_6_1_E0 [lemma, in hydras.Epsilon0.Paths]
Lemma2_6_1 [lemma, in hydras.Epsilon0.Paths]
Lemma4_4 [lemma, in hydras.Epsilon0.Large_Sets]
Lemma5 [lemma, in hydras.Schutte.Critical]
Lemma5_7 [lemma, in hydras.Schutte.Critical]
Lemma5_2 [lemma, in hydras.Schutte.Critical]
Lemma5_1 [lemma, in hydras.Schutte.Critical]
Lemma5_04 [lemma, in hydras.Schutte.Critical]
Lemma5_03 [lemma, in hydras.Schutte.Critical]
Lemma5_02 [lemma, in hydras.Schutte.Critical]
Lemma5_01 [lemma, in hydras.Schutte.Critical]
Lemma5_0 [lemma, in hydras.Schutte.Critical]
lengthTerms [lemma, in hydras.Ackermann.wellFormed]
length_abnc [lemma, in hydras.Gamma0.T2]
length_ab [lemma, in hydras.Gamma0.T2]
length_psi [lemma, in hydras.Gamma0.T2]
length_n [lemma, in hydras.Gamma0.T2]
length_c [lemma, in hydras.Gamma0.T2]
length_b [lemma, in hydras.Gamma0.T2]
length_a [lemma, in hydras.Gamma0.T2]
length_map [lemma, in hydras.rpo.more_list]
leq [definition, in hydras.Prelude.MoreOrders]
leq_trans [instance, in hydras.Prelude.MoreOrders]
lex [definition, in hydras.rpo.rpo]
LExamples [section, in hydras.Ackermann.fol]
LExamples.ex1 [variable, in hydras.Ackermann.fol]
LExamples.ex2 [variable, in hydras.Ackermann.fol]
LExamples.ex3 [variable, in hydras.Ackermann.fol]
LExamples.L [variable, in hydras.Ackermann.fol]
LExamples.P [variable, in hydras.Ackermann.fol]
LExamples.Q [variable, in hydras.Ackermann.fol]
lexico [inductive, in hydras.Prelude.Simple_LexProd]
lexlt [definition, in hydras.solutions_exercises.MultisetWf]
lexnf [definition, in hydras.solutions_exercises.MultisetWf]
lexpower [inductive, in hydras.solutions_exercises.MultisetWf]
lexprod [section, in hydras.Prelude.DecPreOrder_Instances]
lexprod.A [variable, in hydras.Prelude.DecPreOrder_Instances]
lexprod.B [variable, in hydras.Prelude.DecPreOrder_Instances]
lexprod.leA [variable, in hydras.Prelude.DecPreOrder_Instances]
lexprod.leB [variable, in hydras.Prelude.DecPreOrder_Instances]
_ <lex _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <=lex _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ =B= _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ =A= _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <B _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <=B _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <A _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <=A _ [notation, in hydras.Prelude.DecPreOrder_Instances]
lexwf [lemma, in hydras.solutions_exercises.MultisetWf]
lexwf [lemma, in hydras.solutions_exercises.MultisetWf]
lex_prod_dec [instance, in hydras.Prelude.DecPreOrder_Instances]
lex_strict_intro_left [lemma, in hydras.Prelude.DecPreOrder_Instances]
lex_strict_intro_right [lemma, in hydras.Prelude.DecPreOrder_Instances]
lex_inv_right [lemma, in hydras.Prelude.DecPreOrder_Instances]
lex_inv_left [lemma, in hydras.Prelude.DecPreOrder_Instances]
lex_of_equiv [lemma, in hydras.Prelude.DecPreOrder_Instances]
lex_prod [inductive, in hydras.Prelude.DecPreOrder_Instances]
Lex_nat_wf [instance, in hydras.MoreAck.Ack]
lex_nat_wf [lemma, in hydras.MoreAck.Ack]
lex_nat [definition, in hydras.MoreAck.Ack]
lex_2 [constructor, in hydras.Prelude.Simple_LexProd]
lex_1 [constructor, in hydras.Prelude.Simple_LexProd]
lex_trans [lemma, in hydras.rpo.rpo]
lex1 [constructor, in hydras.Prelude.DecPreOrder_Instances]
lex1 [constructor, in hydras.solutions_exercises.MultisetWf]
lex2 [constructor, in hydras.Prelude.DecPreOrder_Instances]
lex2 [constructor, in hydras.solutions_exercises.MultisetWf]
lex3 [constructor, in hydras.solutions_exercises.MultisetWf]
lex4 [constructor, in hydras.solutions_exercises.MultisetWf]
LE_LT_eq_dec [lemma, in hydras.Epsilon0.T1]
LE_r [lemma, in hydras.Epsilon0.T1]
le_lt_LT [lemma, in hydras.Epsilon0.T1]
LE_phi0 [lemma, in hydras.Epsilon0.T1]
LE_LT_trans [lemma, in hydras.Epsilon0.T1]
LE_antisym [lemma, in hydras.Epsilon0.T1]
LE_trans [lemma, in hydras.Epsilon0.T1]
LE_refl [lemma, in hydras.Epsilon0.T1]
LE_zero [lemma, in hydras.Epsilon0.T1]
LE_le [lemma, in hydras.Epsilon0.T1]
LE_nf_r [lemma, in hydras.Epsilon0.T1]
LE_nf_l [lemma, in hydras.Epsilon0.T1]
le_phi0 [lemma, in hydras.Epsilon0.T1]
le_tail [lemma, in hydras.Epsilon0.T1]
le_zero_inv [lemma, in hydras.Epsilon0.T1]
le_inv [lemma, in hydras.Epsilon0.T1]
le_eq_lt_dec [lemma, in hydras.Epsilon0.T1]
le_0 [lemma, in hydras.OrdinalNotations.ON_Omega2]
le_intror [lemma, in hydras.OrdinalNotations.ON_Omega2]
le_min_bd [lemma, in hydras.Prelude.Comparable]
le_min_a [lemma, in hydras.Prelude.Comparable]
le_max_b [lemma, in hydras.Prelude.Comparable]
le_max_a [lemma, in hydras.Prelude.Comparable]
le_not_gt [lemma, in hydras.Prelude.Comparable]
le_lt_trans [lemma, in hydras.Prelude.Comparable]
le_trans [lemma, in hydras.Prelude.Comparable]
le_refl [lemma, in hydras.Prelude.Comparable]
le_lt_equiv_dec [lemma, in hydras.Prelude.DecPreOrder]
le_lt_weak [lemma, in hydras.Prelude.DecPreOrder]
le_lt_trans [lemma, in hydras.Prelude.DecPreOrder]
le_not_gt [lemma, in hydras.Prelude.DecPreOrder]
le_phi0 [lemma, in hydras.Schutte.AP]
le_lt_trans [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_0 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_intror [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_introl [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_S_Ack [lemma, in hydras.MoreAck.Ack]
le_dec:118 [binder, in hydras.Prelude.Merge_Sort]
le_total:117 [binder, in hydras.Prelude.Merge_Sort]
LE_ref [lemma, in gaia_hydras.T1Bridge]
le_ref [lemma, in gaia_hydras.T1Bridge]
le_lt_eq [lemma, in hydras.Prelude.MoreOrders]
le_alpha_zero [lemma, in hydras.Schutte.Schutte_basics]
le_sup_members [lemma, in hydras.Schutte.Schutte_basics]
le_disj [lemma, in hydras.Schutte.Schutte_basics]
le_not_gt [lemma, in hydras.Schutte.Schutte_basics]
le_eq_or_lt [lemma, in hydras.Schutte.Schutte_basics]
le_antisym [lemma, in hydras.Schutte.Schutte_basics]
le_trans [lemma, in hydras.Schutte.Schutte_basics]
le_lt_trans [lemma, in hydras.Schutte.Schutte_basics]
le_refl [lemma, in hydras.Schutte.Schutte_basics]
Le_refl [lemma, in hydras.Epsilon0.E0]
Le_trans [lemma, in hydras.Epsilon0.E0]
le_lt_eq_dec [lemma, in hydras.Epsilon0.E0]
Le_iff [lemma, in hydras.Epsilon0.E0]
Le_Lt_trans [lemma, in hydras.Schutte.Well_Orders]
Le_trans [instance, in hydras.Schutte.Well_Orders]
Le_antisym [lemma, in hydras.Schutte.Well_Orders]
Le_refl [lemma, in hydras.Schutte.Well_Orders]
le_plus_l [lemma, in hydras.Gamma0.Gamma0]
le_plus_r [lemma, in hydras.Gamma0.Gamma0]
le_b_phi_ab [lemma, in hydras.Gamma0.Gamma0]
le_one_cons [lemma, in hydras.Gamma0.Gamma0]
le_cons_tail [lemma, in hydras.Gamma0.Gamma0]
le_trans [lemma, in hydras.Gamma0.Gamma0]
le_lt_trans [lemma, in hydras.Gamma0.Gamma0]
le_inv_nc [lemma, in hydras.Gamma0.Gamma0]
le_psi_term_le [lemma, in hydras.Gamma0.Gamma0]
le_zero_alpha [lemma, in hydras.Gamma0.Gamma0]
le_a_mult_Sn_a [lemma, in hydras.Schutte.Addition]
le_plus_r [lemma, in hydras.Schutte.Addition]
le_plus_l [lemma, in hydras.Schutte.Addition]
le:16 [binder, in hydras.Prelude.DecPreOrder]
le:21 [binder, in hydras.Prelude.DecPreOrder]
le:26 [binder, in hydras.Prelude.DecPreOrder]
le:3 [binder, in hydras.solutions_exercises.predSuccUnicity]
Le:3 [binder, in hydras.OrdinalNotations.ON_O]
le:31 [binder, in hydras.Prelude.Sort_spec]
le:36 [binder, in hydras.Prelude.DecPreOrder]
le:40 [binder, in hydras.Prelude.Sort_spec]
le:40 [binder, in hydras.Prelude.DecPreOrder]
le:45 [binder, in hydras.Prelude.DecPreOrder]
le:50 [binder, in hydras.Prelude.DecPreOrder]
le:55 [binder, in hydras.Prelude.DecPreOrder]
le:60 [binder, in hydras.Prelude.DecPreOrder]
le:65 [binder, in hydras.Prelude.DecPreOrder]
le:71 [binder, in hydras.Prelude.DecPreOrder]
le:75 [binder, in hydras.Prelude.Sort_spec]
le:77 [binder, in hydras.Prelude.DecPreOrder]
le:82 [binder, in hydras.Prelude.DecPreOrder]
le:85 [binder, in hydras.Prelude.DecPreOrder]
le:88 [binder, in hydras.Prelude.DecPreOrder]
le:94 [binder, in hydras.Prelude.DecPreOrder]
LF1 [lemma, in gaia_hydras.GF_alpha]
LF1 [lemma, in hydras.Epsilon0.F_alpha]
LF2 [lemma, in gaia_hydras.GF_alpha]
LF2 [lemma, in hydras.Epsilon0.F_alpha]
LF2_0 [lemma, in hydras.Epsilon0.F_alpha]
LF2' [lemma, in gaia_hydras.GF_alpha]
LF2' [lemma, in hydras.Epsilon0.F_alpha]
LF3 [lemma, in hydras.solutions_exercises.F_3]
LF3_2 [lemma, in gaia_hydras.GF_alpha]
LF3_2 [lemma, in hydras.Epsilon0.F_alpha]
lg:163 [binder, in hydras.rpo.rpo]
lg:231 [binder, in hydras.rpo.rpo]
lg:68 [binder, in hydras.rpo.rpo]
lheight [definition, in hydras.Hydra.Hydra_Definitions]
lhsize [definition, in hydras.Hydra.Hydra_Definitions]
LibHyps_Experiments [library]
liftCloseFrom [lemma, in hydras.Ackermann.subAll]
lim [section, in hydras.Epsilon0.Large_Sets]
Limit [definition, in hydras.Prelude.MoreOrders]
limitb [abbreviation, in hydras.Epsilon0.T1]
limitb [definition, in hydras.OrdinalNotations.ON_Omega2]
limitb [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Limitb [abbreviation, in hydras.Epsilon0.E0]
limitb_limit [lemma, in hydras.OrdinalNotations.ON_Omega2]
LimitNotSucc [lemma, in hydras.Prelude.Comparable]
limit_is_lub [lemma, in hydras.OrdinalNotations.ON_Omega2]
limit_is_lub_0 [lemma, in hydras.OrdinalNotations.ON_Omega2]
limit_no_R1 [lemma, in hydras.Hydra.O2H]
limit_no_head [lemma, in hydras.Hydra.O2H]
Limit_Infinity [lemma, in hydras.solutions_exercises.Limit_Infinity]
limit_canonS_not_zero [lemma, in gaia_hydras.GCanon]
limit_iff [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
limit_is_omega [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Limit_gt_Zero [lemma, in hydras.Epsilon0.E0]
Limit_not_Zero [lemma, in hydras.Epsilon0.E0]
limit_of [definition, in gaia_hydras.onType]
limit_v2 [definition, in gaia_hydras.onType]
limit_rounds [lemma, in hydras.Hydra.Omega2_Small]
limit_rounds_0 [lemma, in hydras.Hydra.Omega2_Small]
limit_step [constructor, in hydras.Hydra.Omega2_Small]
limit_plus_fin_ok [lemma, in hydras.Gamma0.Gamma0]
limit_plus_fin_inv0 [lemma, in hydras.Gamma0.Gamma0]
limit_plus_fin_lim [lemma, in hydras.Gamma0.Gamma0]
limit_plus_fin_plus [lemma, in hydras.Gamma0.Gamma0]
limit_plus_F_cons [constructor, in hydras.Gamma0.Gamma0]
limit_plus_F_0 [constructor, in hydras.Gamma0.Gamma0]
limit_plus_fin [inductive, in hydras.Gamma0.Gamma0]
Limit_Infinity [library]
lim.f [variable, in hydras.Epsilon0.Large_Sets]
lim.H [variable, in hydras.Epsilon0.Large_Sets]
lim.Hlim [variable, in hydras.Epsilon0.Large_Sets]
lim.Hnf [variable, in hydras.Epsilon0.Large_Sets]
lim.lambda [variable, in hydras.Epsilon0.Large_Sets]
LispAbbreviations [module, in hydras.Ackermann.cPair]
LispAbbreviations.caar [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.caddr [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.cadr [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.car [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.cddddr [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.cdddr [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.cddr [abbreviation, in hydras.Ackermann.cPair]
LispAbbreviations.cdr [abbreviation, in hydras.Ackermann.cPair]
ListExt [library]
listValues [definition, in hydras.Ackermann.cPair]
List_length [instance, in hydras.Prelude.DecPreOrder_Instances]
list_rec3 [definition, in hydras.rpo.more_list]
list_rec2 [definition, in hydras.rpo.more_list]
list_size_size_eq [lemma, in hydras.rpo.more_list]
list_size_fold [lemma, in hydras.rpo.more_list]
list_size_app [lemma, in hydras.rpo.more_list]
list_size_tl_compat [lemma, in hydras.rpo.more_list]
list_size [definition, in hydras.rpo.more_list]
list_app_length [lemma, in hydras.rpo.more_list]
List_Remove.Aeq_dec [variable, in hydras.Ackermann.ListExt]
List_Remove.A [variable, in hydras.Ackermann.ListExt]
List_Remove [section, in hydras.Ackermann.ListExt]
list_permut [library]
list_set [library]
LL [lemma, in hydras.Epsilon0.F_alpha]
LNN [definition, in hydras.Ackermann.Languages]
LNN [library]
LNNArityF [definition, in hydras.Ackermann.Languages]
LNNArityR [definition, in hydras.Ackermann.Languages]
LNNRelation [inductive, in hydras.Ackermann.Languages]
LNN_eqdec [lemma, in hydras.Ackermann.LNN]
LNN_FixPoint.codeFormula [variable, in Goedel.fixPoint]
LNN_FixPoint [section, in Goedel.fixPoint]
LNN_Examples [library]
LNN2LNT [library]
LNN2LNT_subFormula [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF2 [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF1 [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_exist [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_iff [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_and [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_or [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_formula [definition, in hydras.Ackermann.LNN2LNT]
LNN2LNT_subTerms [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_subTerm [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarTs [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarT [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_natToTerm [lemma, in hydras.Ackermann.LNN2LNT]
LNN2LNT_terms [definition, in hydras.Ackermann.LNN2LNT]
LNN2LNT_term [definition, in hydras.Ackermann.LNN2LNT]
LNotPR [lemma, in hydras.Hydra.Hydra_Theorems]
LNT [module, in hydras.Ackermann.LNT]
LNT [definition, in hydras.Ackermann.Languages]
LNT [library]
LNTFunction [inductive, in hydras.Ackermann.Languages]
LNTFunctionArity [definition, in hydras.Ackermann.Languages]
LNTRelation [inductive, in hydras.Ackermann.Languages]
LNTRelationR [definition, in hydras.Ackermann.Languages]
LNT_eqdec [lemma, in hydras.Ackermann.LNT]
LNT_FixPoint.codeFormula [variable, in Goedel.fixPoint]
LNT_FixPoint [section, in Goedel.fixPoint]
LNT.Plus [definition, in hydras.Ackermann.LNT]
LNT.Succ [definition, in hydras.Ackermann.LNT]
LNT.Times [definition, in hydras.Ackermann.LNT]
LNT.Zero [definition, in hydras.Ackermann.LNT]
LNT2LNN_subFormula [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNN_freeVarF [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNN_freeVarT [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNN_subTerm [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNN_formula [definition, in hydras.Ackermann.LNN2LNT]
LNT2LNN_natToTerm [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNN_terms [definition, in hydras.Ackermann.LNN2LNT]
LNT2LNN_term [definition, in hydras.Ackermann.LNN2LNT]
LNT2LNT_formula [lemma, in hydras.Ackermann.LNN2LNT]
LNT2LNT_term [lemma, in hydras.Ackermann.LNN2LNT]
LO [module, in hydras.OrdinalNotations.OmegaOmega]
LocallySorted_inv_In [lemma, in hydras.Prelude.Sort_spec]
LocallySorted_trans [lemma, in hydras.Prelude.Sort_spec]
LocallySorted_cons' [lemma, in hydras.Prelude.Sort_spec]
LocallySorted_cons [lemma, in hydras.Prelude.Sort_spec]
Logic [section, in hydras.Ackermann.LNN]
Logic [section, in hydras.Ackermann.LNT]
Logic_Rules.Other_Rules [section, in hydras.Ackermann.folLogic]
Logic_Rules.Not_Rules [section, in hydras.Ackermann.folLogic]
Logic_Rules.SysPrf [variable, in hydras.Ackermann.folLogic]
Logic_Rules.Prf [variable, in hydras.Ackermann.folLogic]
Logic_Rules.Terms [variable, in hydras.Ackermann.folLogic]
Logic_Rules.Term [variable, in hydras.Ackermann.folLogic]
Logic_Rules.System [variable, in hydras.Ackermann.folLogic]
Logic_Rules.Formulas [variable, in hydras.Ackermann.folLogic]
Logic_Rules.Formula [variable, in hydras.Ackermann.folLogic]
Logic_Rules.L [variable, in hydras.Ackermann.folLogic]
Logic_Rules [section, in hydras.Ackermann.folLogic]
LO.ap [inductive, in hydras.OrdinalNotations.OmegaOmega]
LO.ap_intro [constructor, in hydras.OrdinalNotations.OmegaOmega]
LO.compare_correct [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.compare_reflect [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.compare_rev [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.compare_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.compare_oo [instance, in hydras.OrdinalNotations.OmegaOmega]
LO.cons [abbreviation, in hydras.OrdinalNotations.OmegaOmega]
LO.cons_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.eq_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.fin [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.fin_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.FS [abbreviation, in hydras.OrdinalNotations.OmegaOmega]
LO.limitb [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.limitb_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.lo_comparable [instance, in hydras.OrdinalNotations.OmegaOmega]
LO.lo_strorder [instance, in hydras.OrdinalNotations.OmegaOmega]
LO.lt [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.lt_trans [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.lt_irrefl [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.lt_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.mult [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.mult_plus_distr_l [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.mult_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.mult_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.nf [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.nf_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.nf_inv3 [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.nf_inv2 [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.nf_b [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.omega [abbreviation, in hydras.OrdinalNotations.OmegaOmega]
LO.phi0 [abbreviation, in hydras.OrdinalNotations.OmegaOmega]
LO.phi0_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.phi0_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.plus [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.plus_assoc [instance, in hydras.OrdinalNotations.OmegaOmega]
LO.plus_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.plus_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.refine [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.single_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.succ [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.succb [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.succb_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.succ_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.succ_ref [lemma, in hydras.OrdinalNotations.OmegaOmega]
LO.t [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.zero [definition, in hydras.OrdinalNotations.OmegaOmega]
LO.zero_nf [lemma, in hydras.OrdinalNotations.OmegaOmega]
_ * _ (lo_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
_ + _ (lo_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
LS [lemma, in hydras.solutions_exercises.FibonacciPR]
LS [lemma, in hydras.Hydra.BigBattle]
ls1:246 [binder, in hydras.rpo.rpo]
ls1:251 [binder, in hydras.rpo.rpo]
ls2:247 [binder, in hydras.rpo.rpo]
ls2:252 [binder, in hydras.rpo.rpo]
ls:164 [binder, in hydras.rpo.rpo]
ls:232 [binder, in hydras.rpo.rpo]
ls:241 [binder, in hydras.rpo.rpo]
ls:69 [binder, in hydras.rpo.rpo]
LT [definition, in hydras.Epsilon0.T1]
lt [definition, in hydras.Epsilon0.T1]
lt [inductive, in hydras.Gamma0.T2]
lt [definition, in hydras.OrdinalNotations.ON_O]
lt [definition, in hydras.Prelude.DecPreOrder]
LT [abbreviation, in hydras.solutions_exercises.MultisetWf]
LT [abbreviation, in gaia_hydras.T1Bridge]
lt [definition, in hydras.OrdinalNotations.ON_mult]
lt [definition, in hydras.OrdinalNotations.ON_plus]
lt [axiom, in hydras.Schutte.Schutte_basics]
lt [definition, in hydras.OrdinalNotations.ON_Finite]
ltA:107 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:122 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:134 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:147 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:160 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:172 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:185 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:199 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:2 [binder, in hydras.OrdinalNotations.ON_mult]
ltA:2 [binder, in hydras.OrdinalNotations.ON_plus]
ltA:30 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:33 [binder, in hydras.solutions_exercises.MultisetWf]
ltA:36 [binder, in hydras.solutions_exercises.MultisetWf]
ltA:49 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:68 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:69 [binder, in hydras.solutions_exercises.MultisetWf]
ltA:82 [binder, in hydras.OrdinalNotations.ON_Generic]
ltA:94 [binder, in hydras.OrdinalNotations.ON_Generic]
ltBool [definition, in hydras.Ackermann.primRec]
ltBoolFalse [lemma, in hydras.Ackermann.primRec]
ltBoolTrue [lemma, in hydras.Ackermann.primRec]
Ltb_ij [lemma, in hydras.OrdinalNotations.ON_Finite]
ltB:111 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:126 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:138 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:151 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:164 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:176 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:189 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:203 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:34 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:53 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:6 [binder, in hydras.OrdinalNotations.ON_mult]
ltB:6 [binder, in hydras.OrdinalNotations.ON_plus]
ltB:86 [binder, in hydras.OrdinalNotations.ON_Generic]
ltB:98 [binder, in hydras.OrdinalNotations.ON_Generic]
LTFormula [definition, in hydras.Ackermann.LNN2LNT]
ltIsPR [instance, in hydras.Ackermann.primRec]
ltn_add_ll [lemma, in gaia_hydras.nfwfgaia]
ltn_add_el [lemma, in gaia_hydras.nfwfgaia]
ltn_add_le [lemma, in gaia_hydras.nfwfgaia]
ltn_simpl2 [lemma, in gaia_hydras.nfwfgaia]
ltn_simpl1 [lemma, in gaia_hydras.nfwfgaia]
lt_succ_le_2' [lemma, in hydras.Epsilon0.T1]
LT_succ_LT_eq_dec [lemma, in hydras.Epsilon0.T1]
lt_one [lemma, in hydras.Epsilon0.T1]
lt_cons_phi0_inv [lemma, in hydras.Epsilon0.T1]
LT_eq_LT_dec [lemma, in hydras.Epsilon0.T1]
LT_succ [lemma, in hydras.Epsilon0.T1]
LT_add [lemma, in hydras.Epsilon0.T1]
lt_plus_r [lemma, in hydras.Epsilon0.T1]
lt_plus_l [lemma, in hydras.Epsilon0.T1]
LT_of_finite [lemma, in hydras.Epsilon0.T1]
lt_omega_inv [lemma, in hydras.Epsilon0.T1]
LT_one [lemma, in hydras.Epsilon0.T1]
LT_succ_LE_2 [lemma, in hydras.Epsilon0.T1]
LT_succ_LE [lemma, in hydras.Epsilon0.T1]
lt_succ_le [lemma, in hydras.Epsilon0.T1]
lt_succ_le_2 [lemma, in hydras.Epsilon0.T1]
LT_succ_LE_R [lemma, in hydras.Epsilon0.T1]
lt_succ_le_R [lemma, in hydras.Epsilon0.T1]
LT_cons_0 [lemma, in hydras.Epsilon0.T1]
LT_inv_strong [lemma, in hydras.Epsilon0.T1]
LT_right [constructor, in hydras.Epsilon0.T1]
LT_middle [constructor, in hydras.Epsilon0.T1]
LT_left [constructor, in hydras.Epsilon0.T1]
LT_cases [inductive, in hydras.Epsilon0.T1]
LT_inv [lemma, in hydras.Epsilon0.T1]
LT_St [instance, in hydras.Epsilon0.T1]
LT_LE_trans [lemma, in hydras.Epsilon0.T1]
LT_irrefl [lemma, in hydras.Epsilon0.T1]
LT_trans [lemma, in hydras.Epsilon0.T1]
LT_lt [lemma, in hydras.Epsilon0.T1]
LT_nf_r [lemma, in hydras.Epsilon0.T1]
LT_nf_l [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_iff [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_def [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_phi0R [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_phi0 [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_intro [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_inv1 [lemma, in hydras.Epsilon0.T1]
lt_le_dec [definition, in hydras.Epsilon0.T1]
lt_eq_lt_dec [definition, in hydras.Epsilon0.T1]
lt_a_phi0_b_inv [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_a [lemma, in hydras.Epsilon0.T1]
lt_succ [lemma, in hydras.Epsilon0.T1]
lt_a_phi0_b_c [constructor, in hydras.Epsilon0.T1]
lt_a_phi0_b_z [constructor, in hydras.Epsilon0.T1]
lt_a_phi0_b [inductive, in hydras.Epsilon0.T1]
lt_dec [instance, in hydras.Epsilon0.T1]
lt_inv_head [lemma, in hydras.Epsilon0.T1]
lt_trans [lemma, in hydras.Epsilon0.T1]
lt_fin_iff [lemma, in hydras.Epsilon0.T1]
lt_inv_tail [lemma, in hydras.Epsilon0.T1]
lt_inv_coeff_dec [lemma, in hydras.Epsilon0.T1]
lt_inv_coeff [lemma, in hydras.Epsilon0.T1]
lt_inv [lemma, in hydras.Epsilon0.T1]
lt_irrefl [lemma, in hydras.Epsilon0.T1]
lt_inv_strong [lemma, in hydras.Epsilon0.T1]
lt_right [constructor, in hydras.Epsilon0.T1]
lt_middle [constructor, in hydras.Epsilon0.T1]
lt_left [constructor, in hydras.Epsilon0.T1]
lt_cases [inductive, in hydras.Epsilon0.T1]
lt_omega [lemma, in hydras.OrdinalNotations.ON_Omega2]
lt_eq_lt_dec [lemma, in hydras.OrdinalNotations.ON_Omega2]
lt_succ [lemma, in hydras.OrdinalNotations.ON_Omega2]
lt_succ_le [lemma, in hydras.OrdinalNotations.ON_Omega2]
lt_epsilon0 [inductive, in hydras.Gamma0.T2]
lt_7 [constructor, in hydras.Gamma0.T2]
lt_6 [constructor, in hydras.Gamma0.T2]
lt_5 [constructor, in hydras.Gamma0.T2]
lt_4 [constructor, in hydras.Gamma0.T2]
lt_3 [constructor, in hydras.Gamma0.T2]
lt_2 [constructor, in hydras.Gamma0.T2]
lt_1 [constructor, in hydras.Gamma0.T2]
lt_lt_Sn [lemma, in hydras.Prelude.More_Arith]
LT_to_round_plus [lemma, in hydras.Hydra.O2H]
Lt_n_F_Zero_n [lemma, in hydras.Epsilon0.F_alpha]
lt_eq_lt_dec [definition, in hydras.Prelude.Comparable]
lt_eq_lt [lemma, in hydras.Prelude.Comparable]
lt_incl_le [lemma, in hydras.Prelude.Comparable]
lt_le_trans [lemma, in hydras.Prelude.Comparable]
lt_not_ge [lemma, in hydras.Prelude.Comparable]
lt_not_gt [lemma, in hydras.Prelude.Comparable]
lt_irrefl [abbreviation, in hydras.Prelude.Comparable]
lt_trans [abbreviation, in hydras.Prelude.Comparable]
lt_wf [lemma, in hydras.OrdinalNotations.ON_O]
LT_to_standard_path [lemma, in gaia_hydras.GPaths]
LT_path_to [lemma, in gaia_hydras.GPaths]
lt_a_phi0_b_oplus [lemma, in hydras.Epsilon0.Hessenberg]
lt_transitive [instance, in hydras.Prelude.DecPreOrder]
lt_le_trans [lemma, in hydras.Prelude.DecPreOrder]
lt_not_equiv [lemma, in hydras.Prelude.DecPreOrder]
lt_not_ge [lemma, in hydras.Prelude.DecPreOrder]
lt_irreflexive [lemma, in hydras.Prelude.DecPreOrder]
lt_S_2i [lemma, in additions.More_on_positive]
lt_phi0 [lemma, in hydras.Schutte.AP]
lt_beta_exists [lemma, in hydras.Schutte.AP]
lt_omega [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_succ [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_succ_le [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_le_trans [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
LT_inv [lemma, in hydras.solutions_exercises.MultisetWf]
lt_wf_double_ind [lemma, in hydras.MoreAck.Ack]
lt_wf_ind [lemma, in hydras.MoreAck.Ack]
LT_ref [lemma, in gaia_hydras.T1Bridge]
lt_ref [lemma, in gaia_hydras.T1Bridge]
lt_eq_lt_dec [lemma, in hydras.OrdinalNotations.ON_mult]
lt_wf [lemma, in hydras.OrdinalNotations.ON_mult]
lt_strorder [instance, in hydras.OrdinalNotations.ON_mult]
LT_to_standard_battle [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
lt_eq_lt_dec [lemma, in hydras.OrdinalNotations.ON_plus]
lt_wf [lemma, in hydras.OrdinalNotations.ON_plus]
lt_strorder [instance, in hydras.OrdinalNotations.ON_plus]
lt_depth [definition, in hydras.Ackermann.fol]
lt_omega_finite [lemma, in hydras.Schutte.Schutte_basics]
lt_omega_limit_lt_exists_lt [lemma, in hydras.Schutte.Schutte_basics]
lt_omega_limit [lemma, in hydras.Schutte.Schutte_basics]
lt_sup_exists_lt [lemma, in hydras.Schutte.Schutte_basics]
lt_sup_exists_leq [lemma, in hydras.Schutte.Schutte_basics]
lt_succ_lt [lemma, in hydras.Schutte.Schutte_basics]
lt_succ_le_2 [lemma, in hydras.Schutte.Schutte_basics]
lt_succ_le [lemma, in hydras.Schutte.Schutte_basics]
lt_succ [lemma, in hydras.Schutte.Schutte_basics]
lt_or_ge [lemma, in hydras.Schutte.Schutte_basics]
lt_irrefl [lemma, in hydras.Schutte.Schutte_basics]
lt_le_trans [lemma, in hydras.Schutte.Schutte_basics]
lt_trans [lemma, in hydras.Schutte.Schutte_basics]
lt_le [lemma, in hydras.Schutte.Schutte_basics]
lt_wf [lemma, in hydras.OrdinalNotations.ON_Finite]
lt_omega_inv [lemma, in hydras.Epsilon0.E0]
Lt_Le_incl [lemma, in hydras.Epsilon0.E0]
Lt_trans [lemma, in hydras.Epsilon0.E0]
lt_Succ_le_2 [lemma, in hydras.Epsilon0.E0]
lt_Succ_inv [lemma, in hydras.Epsilon0.E0]
Lt_Succ [lemma, in hydras.Epsilon0.E0]
Lt_Succ_Le [lemma, in hydras.Epsilon0.E0]
Lt_not_Gt [lemma, in hydras.Schutte.Well_Orders]
Lt_Le_trans [lemma, in hydras.Schutte.Well_Orders]
Lt_connect [lemma, in hydras.Schutte.Well_Orders]
Lt_irreflexive [projection, in hydras.Schutte.Well_Orders]
Lt_trans [projection, in hydras.Schutte.Well_Orders]
LT_to_standard_path [lemma, in hydras.Epsilon0.Paths]
LT_acc_from [lemma, in hydras.Epsilon0.Paths]
LT_path_to [lemma, in hydras.Epsilon0.Paths]
LT_path_toS [lemma, in hydras.Epsilon0.Paths]
lt_not_gt [lemma, in hydras.Gamma0.Gamma0]
lt_epsilon0_succ [lemma, in hydras.Gamma0.Gamma0]
lt_epsilon0_trans [lemma, in hydras.Gamma0.Gamma0]
lt_epsilon0_okR [lemma, in hydras.Gamma0.Gamma0]
lt_epsilon0_ok [lemma, in hydras.Gamma0.Gamma0]
lt_a_phi_ab [lemma, in hydras.Gamma0.Gamma0]
lt_inc_rpo_0 [lemma, in hydras.Gamma0.Gamma0]
lt_rpo_cons_cons [lemma, in hydras.Gamma0.Gamma0]
lt_incl_rpo.H [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.nf2 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.nf1 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.Hrec [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.Hsize [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.n2 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.n1 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.c2 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.b2 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.a2 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.c1 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.b1 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.a1 [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo.s [variable, in hydras.Gamma0.Gamma0]
lt_incl_rpo [section, in hydras.Gamma0.Gamma0]
lt_subterm1 [lemma, in hydras.Gamma0.Gamma0]
lt_succ_le [lemma, in hydras.Gamma0.Gamma0]
lt_succ [lemma, in hydras.Gamma0.Gamma0]
lt_compatR [lemma, in hydras.Gamma0.Gamma0]
lt_compat [lemma, in hydras.Gamma0.Gamma0]
lt_omega_is_fin [lemma, in hydras.Gamma0.Gamma0]
lt_omega_inv [lemma, in hydras.Gamma0.Gamma0]
lt_cons_omega_inv [lemma, in hydras.Gamma0.Gamma0]
lt_one_inv [lemma, in hydras.Gamma0.Gamma0]
lt_tail [lemma, in hydras.Gamma0.Gamma0]
lt_tail0 [lemma, in hydras.Gamma0.Gamma0]
lt_alpha_cons [lemma, in hydras.Gamma0.Gamma0]
lt_alpha_psi [lemma, in hydras.Gamma0.Gamma0]
lt_beta_cons [lemma, in hydras.Gamma0.Gamma0]
lt_beta_psi [lemma, in hydras.Gamma0.Gamma0]
lt_le_trans [lemma, in hydras.Gamma0.Gamma0]
lt_trans [lemma, in hydras.Gamma0.Gamma0]
lt_trans0 [lemma, in hydras.Gamma0.Gamma0]
lt_ge_dec [definition, in hydras.Gamma0.Gamma0]
lt_eq_lt_dec [definition, in hydras.Gamma0.Gamma0]
lt_than_psi [lemma, in hydras.Gamma0.Gamma0]
lt_irr [lemma, in hydras.Gamma0.Gamma0]
lt_wf [lemma, in gaia_hydras.nfwfgaia]
LT_ [constructor, in hydras.Ackermann.Languages]
lt_not_wf [lemma, in hydras.solutions_exercises.T1_ltNotWf]
lt_succ_le [library]
LT1 [lemma, in hydras.Epsilon0.T1]
LT2 [lemma, in hydras.Epsilon0.T1]
LT3 [lemma, in hydras.Epsilon0.T1]
LT4 [lemma, in hydras.Epsilon0.T1]
Lt:109 [binder, in hydras.Hydra.Hydra_Lemmas]
lt:12 [binder, in hydras.OrdinalNotations.ON_Generic]
lt:129 [binder, in hydras.Hydra.Hydra_Lemmas]
lt:13 [binder, in hydras.Prelude.Comparable]
Lt:145 [binder, in hydras.Hydra.Hydra_Definitions]
Lt:155 [binder, in hydras.Hydra.Hydra_Definitions]
lt:2 [binder, in hydras.solutions_exercises.predSuccUnicity]
Lt:2 [binder, in hydras.OrdinalNotations.ON_O]
lt:2 [binder, in hydras.Prelude.MoreOrders]
lt:2 [binder, in hydras.solutions_exercises.lt_succ_le]
lt:2 [binder, in hydras.OrdinalNotations.ON_Generic]
lt:23 [binder, in hydras.Prelude.MoreOrders]
lt:3 [binder, in hydras.Schutte.Lub]
lt:43 [binder, in hydras.Prelude.MoreOrders]
lt:47 [binder, in hydras.Prelude.MoreOrders]
lt:5 [binder, in hydras.Prelude.Comparable]
Lt:52 [binder, in hydras.Schutte.Well_Orders]
Lt:57 [binder, in hydras.Schutte.Well_Orders]
lt:8 [binder, in hydras.OrdinalNotations.ON_Generic]
lt:9 [binder, in hydras.Schutte.Lub]
Lt:99 [binder, in hydras.Hydra.Hydra_Lemmas]
lub [definition, in hydras.Gamma0.Gamma0]
Lub [library]
lub_mono [lemma, in hydras.Gamma0.Gamma0]
lub_unicity [lemma, in hydras.Gamma0.Gamma0]
Lvar [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
L_3_plus_omega [definition, in hydras.OrdinalNotations.ON_Omega2]
L_omega_cube_3_eq [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_cube_eqn [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_cube_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_cube [definition, in hydras.Epsilon0.Large_Sets]
L_omega_square_times_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square_times [definition, in hydras.Epsilon0.Large_Sets]
L_phi0_mult_Sle [lemma, in hydras.Epsilon0.Large_Sets]
L_phi0_mult_smono [lemma, in hydras.Epsilon0.Large_Sets]
L_phi0_mult_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_phi0_mult [definition, in hydras.Epsilon0.Large_Sets]
L_omega_square_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square_smono [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square_Sle [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square_eqn [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square_eqn1 [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_square [definition, in hydras.Epsilon0.Large_Sets]
L_omega_mult_eqn [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_mult_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_mult_Sle [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_mult [definition, in hydras.Epsilon0.Large_Sets]
L_omega_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_smono [lemma, in hydras.Epsilon0.Large_Sets]
L_omega_Sle [lemma, in hydras.Epsilon0.Large_Sets]
L_omega [definition, in hydras.Epsilon0.Large_Sets]
L_fin_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_S_succ_rw [lemma, in hydras.Epsilon0.Large_Sets]
L_fin_smono [lemma, in hydras.Epsilon0.Large_Sets]
L_finS_S_le [lemma, in hydras.Epsilon0.Large_Sets]
L_fin [definition, in hydras.Epsilon0.Large_Sets]
L_lim_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_lim [definition, in hydras.Epsilon0.Large_Sets]
L_succ_ok [lemma, in hydras.Epsilon0.Large_Sets]
L_succ_Sle [lemma, in hydras.Epsilon0.Large_Sets]
L_succ_mono [lemma, in hydras.Epsilon0.Large_Sets]
L_succ [definition, in hydras.Epsilon0.Large_Sets]
L_spec_unicity [lemma, in hydras.Epsilon0.Large_Sets]
L_pos_inv [lemma, in hydras.Epsilon0.Large_Sets]
L_zero_inv [lemma, in hydras.Epsilon0.Large_Sets]
L_spec_compat [lemma, in hydras.Epsilon0.Large_Sets]
L_spec_inv2 [lemma, in hydras.Epsilon0.Large_Sets]
L_test [definition, in hydras.Epsilon0.Large_Sets]
L_spec1 [constructor, in hydras.Epsilon0.Large_Sets]
L_spec0 [constructor, in hydras.Epsilon0.Large_Sets]
L_spec [inductive, in hydras.Epsilon0.Large_Sets]
L_correct [lemma, in hydras.Epsilon0.L_alpha]
L_ok [lemma, in hydras.Epsilon0.L_alpha]
L_ok_lim [lemma, in hydras.Epsilon0.L_alpha]
L_ok_succ [lemma, in hydras.Epsilon0.L_alpha]
L_ok0 [lemma, in hydras.Epsilon0.L_alpha]
L_correct_proof.P [variable, in hydras.Epsilon0.L_alpha]
L_correct_proof [section, in hydras.Epsilon0.L_alpha]
L_succ_ok [lemma, in hydras.Epsilon0.L_alpha]
L_ge_S [lemma, in hydras.Epsilon0.L_alpha]
L_ge_id [lemma, in hydras.Epsilon0.L_alpha]
L_omega [lemma, in hydras.Epsilon0.L_alpha]
L_finite [lemma, in hydras.Epsilon0.L_alpha]
L_lim_eqn [lemma, in hydras.Epsilon0.L_alpha]
L_succ_eqn [lemma, in hydras.Epsilon0.L_alpha]
L_eq2 [lemma, in hydras.Epsilon0.L_alpha]
L_zero_eqn [lemma, in hydras.Epsilon0.L_alpha]
L_ [definition, in hydras.Epsilon0.L_alpha]
L_3_plus_omega [instance, in hydras.OrdinalNotations.Example_3PlusOmega]
l_std_ok [lemma, in hydras.Hydra.Battle_length]
l_std [definition, in hydras.Hydra.Battle_length]
L_0_3 [lemma, in hydras.Hydra.BigBattle]
L_2_3 [lemma, in hydras.Hydra.BigBattle]
L_0_2 [lemma, in hydras.Hydra.BigBattle]
l_std_ok [lemma, in gaia_hydras.GHydra]
l_stdE [lemma, in gaia_hydras.GHydra]
l_std [definition, in gaia_hydras.GHydra]
L_fin_ok [lemma, in gaia_hydras.GLarge_Sets]
L_spec [definition, in gaia_hydras.GLarge_Sets]
L_3_plus_omega [definition, in hydras.Epsilon0.E0]
L_correct [lemma, in gaia_hydras.GL_alpha]
L_pos_inv [lemma, in gaia_hydras.GL_alpha]
L_spec1 [lemma, in gaia_hydras.GL_alpha]
L_spec0 [lemma, in gaia_hydras.GL_alpha]
L_spec [definition, in gaia_hydras.GL_alpha]
L_ge_S [lemma, in gaia_hydras.GL_alpha]
L_ge_id [lemma, in gaia_hydras.GL_alpha]
L_omega [lemma, in gaia_hydras.GL_alpha]
L_finite [lemma, in gaia_hydras.GL_alpha]
L_limE [lemma, in gaia_hydras.GL_alpha]
L_succE [lemma, in gaia_hydras.GL_alpha]
L_eq2 [lemma, in gaia_hydras.GL_alpha]
L_zeroE [lemma, in gaia_hydras.GL_alpha]
L_ [definition, in gaia_hydras.GL_alpha]
L_3_plus_omega [definition, in hydras.Schutte.Addition]
L_alpha [library]
l'':55 [binder, in hydras.solutions_exercises.MultisetWf]
l'':56 [binder, in hydras.solutions_exercises.MultisetWf]
l'':58 [binder, in hydras.solutions_exercises.MultisetWf]
l'1:118 [binder, in hydras.Prelude.MoreLists]
l'1:150 [binder, in hydras.Prelude.MoreLists]
l':105 [binder, in hydras.Prelude.Merge_Sort]
l':114 [binder, in hydras.Prelude.MoreLists]
l':123 [binder, in hydras.Prelude.MoreLists]
l':13 [binder, in hydras.solutions_exercises.MultisetWf]
l':130 [binder, in hydras.Prelude.MoreLists]
l':135 [binder, in hydras.Prelude.MoreLists]
l':139 [binder, in hydras.Schutte.Schutte_basics]
l':14 [binder, in gaia_hydras.GLarge_Sets]
l':140 [binder, in hydras.Prelude.MoreLists]
l':143 [binder, in hydras.rpo.rpo]
l':146 [binder, in hydras.Prelude.MoreLists]
l':147 [binder, in hydras.rpo.rpo]
l':15 [binder, in hydras.Hydra.Hydra_Definitions]
l':151 [binder, in hydras.rpo.rpo]
l':158 [binder, in hydras.rpo.rpo]
l':161 [binder, in hydras.rpo.rpo]
l':167 [binder, in hydras.rpo.rpo]
l':171 [binder, in hydras.rpo.rpo]
l':19 [binder, in hydras.solutions_exercises.MultisetWf]
l':192 [binder, in hydras.rpo.more_list]
l':20 [binder, in additions.Trace_exercise]
l':218 [binder, in hydras.rpo.rpo]
l':222 [binder, in hydras.rpo.rpo]
l':224 [binder, in hydras.rpo.rpo]
l':23 [binder, in hydras.solutions_exercises.MultisetWf]
l':235 [binder, in hydras.rpo.rpo]
l':244 [binder, in hydras.rpo.rpo]
l':267 [binder, in hydras.rpo.rpo]
l':27 [binder, in hydras.Epsilon0.Large_Sets]
l':30 [binder, in hydras.Prelude.DecPreOrder_Instances]
l':34 [binder, in hydras.Prelude.Merge_Sort]
l':37 [binder, in hydras.Prelude.Sort_spec]
l':41 [binder, in hydras.Prelude.Merge_Sort]
l':43 [binder, in hydras.Prelude.Merge_Sort]
l':46 [binder, in hydras.Prelude.Merge_Sort]
l':48 [binder, in hydras.Hydra.O2H]
l':48 [binder, in hydras.rpo.rpo]
l':52 [binder, in hydras.solutions_exercises.MultisetWf]
l':52 [binder, in hydras.Prelude.Merge_Sort]
l':52 [binder, in hydras.rpo.rpo]
l':56 [binder, in hydras.rpo.rpo]
l':57 [binder, in hydras.Schutte.CNF]
l':614 [binder, in hydras.Gamma0.Gamma0]
l':618 [binder, in hydras.Gamma0.Gamma0]
l':63 [binder, in hydras.rpo.rpo]
l':66 [binder, in hydras.rpo.rpo]
l':699 [binder, in hydras.Epsilon0.T1]
l':72 [binder, in hydras.rpo.rpo]
l':73 [binder, in hydras.solutions_exercises.MultisetWf]
l':8 [binder, in hydras.Prelude.Sort_spec]
l':92 [binder, in hydras.Ackermann.primRec]
l':96 [binder, in hydras.Ackermann.primRec]
l':97 [binder, in hydras.Prelude.Merge_Sort]
l':99 [binder, in hydras.Prelude.Merge_Sort]
L0 [lemma, in hydras.Epsilon0.T1]
L0 [lemma, in additions.AM]
L0 [lemma, in hydras.solutions_exercises.FibonacciPR]
L0_95 [lemma, in hydras.Hydra.BigBattle]
L00 [lemma, in hydras.Epsilon0.F_omega]
L02 [lemma, in hydras.Epsilon0.F_omega]
L03 [lemma, in hydras.Epsilon0.T1]
L04 [lemma, in hydras.solutions_exercises.F_3]
L04' [lemma, in hydras.solutions_exercises.F_3]
L05 [lemma, in hydras.Epsilon0.T1]
L06 [lemma, in hydras.Hydra.Battle_length]
l0:152 [binder, in hydras.Prelude.MoreLists]
l0:296 [binder, in hydras.Ackermann.codeFreeVar]
l0:298 [binder, in hydras.Ackermann.codeFreeVar]
l0:298 [binder, in hydras.Ackermann.codeList]
l0:300 [binder, in hydras.Ackermann.codeList]
L1 [lemma, in hydras.Epsilon0.T1]
L1 [lemma, in hydras.solutions_exercises.predSuccUnicity]
L1 [lemma, in hydras.MoreAck.expressibleExamples]
L1 [lemma, in hydras.solutions_exercises.Limit_Infinity]
L1 [lemma, in hydras.solutions_exercises.FibonacciPR]
L1 [lemma, in hydras.solutions_exercises.lt_succ_le]
L1' [lemma, in gaia_hydras.T1Bridge]
L10 [lemma, in hydras.Epsilon0.T1]
L10 [lemma, in hydras.Hydra.BigBattle]
L11 [lemma, in hydras.Epsilon0.T1]
L12 [lemma, in hydras.Epsilon0.T1]
L13 [lemma, in hydras.Epsilon0.T1]
L14 [lemma, in hydras.Epsilon0.T1]
l1:100 [binder, in hydras.Prelude.Merge_Sort]
l1:101 [binder, in hydras.rpo.list_set]
l1:101 [binder, in hydras.rpo.list_permut]
l1:102 [binder, in hydras.Ackermann.primRec]
l1:107 [binder, in hydras.Ackermann.primRec]
l1:107 [binder, in hydras.rpo.list_set]
l1:108 [binder, in hydras.Prelude.Merge_Sort]
l1:11 [binder, in hydras.rpo.list_permut]
l1:110 [binder, in hydras.rpo.more_list]
l1:114 [binder, in hydras.rpo.list_set]
l1:117 [binder, in hydras.Prelude.MoreLists]
l1:119 [binder, in hydras.rpo.list_set]
l1:12 [binder, in hydras.Prelude.Merge_Sort]
l1:122 [binder, in hydras.rpo.list_set]
l1:123 [binder, in hydras.Prelude.Merge_Sort]
l1:126 [binder, in hydras.rpo.more_list]
l1:127 [binder, in hydras.rpo.list_set]
l1:13 [binder, in hydras.rpo.list_permut]
l1:131 [binder, in hydras.Prelude.Merge_Sort]
l1:134 [binder, in hydras.rpo.list_set]
l1:138 [binder, in hydras.Prelude.Merge_Sort]
l1:141 [binder, in additions.fib]
l1:141 [binder, in hydras.rpo.list_set]
l1:145 [binder, in hydras.rpo.list_set]
l1:146 [binder, in hydras.Prelude.Merge_Sort]
l1:149 [binder, in hydras.Prelude.MoreLists]
l1:149 [binder, in hydras.rpo.list_set]
l1:157 [binder, in hydras.Prelude.Merge_Sort]
l1:161 [binder, in hydras.Prelude.Merge_Sort]
l1:165 [binder, in hydras.Prelude.Merge_Sort]
l1:17 [binder, in hydras.Prelude.Merge_Sort]
l1:170 [binder, in hydras.Prelude.Merge_Sort]
l1:178 [binder, in hydras.Prelude.MoreLists]
l1:18 [binder, in hydras.rpo.more_list]
l1:18 [binder, in hydras.rpo.dickson]
l1:181 [binder, in hydras.Prelude.Merge_Sort]
l1:184 [binder, in hydras.rpo.more_list]
l1:185 [binder, in hydras.Ackermann.fol]
l1:186 [binder, in hydras.rpo.term]
l1:191 [binder, in hydras.Prelude.Merge_Sort]
l1:191 [binder, in hydras.Ackermann.fol]
l1:195 [binder, in hydras.Prelude.MoreLists]
l1:197 [binder, in hydras.Prelude.MoreLists]
l1:197 [binder, in hydras.rpo.more_list]
l1:198 [binder, in hydras.Prelude.Merge_Sort]
l1:199 [binder, in hydras.rpo.more_list]
l1:203 [binder, in hydras.Prelude.MoreLists]
l1:21 [binder, in hydras.rpo.list_permut]
l1:212 [binder, in hydras.Prelude.MoreLists]
l1:219 [binder, in hydras.Prelude.MoreLists]
l1:22 [binder, in hydras.rpo.dickson]
l1:23 [binder, in hydras.rpo.list_permut]
l1:233 [binder, in hydras.rpo.list_set]
l1:234 [binder, in hydras.rpo.term]
l1:236 [binder, in hydras.rpo.term]
l1:236 [binder, in hydras.rpo.list_set]
l1:239 [binder, in hydras.rpo.list_set]
l1:243 [binder, in hydras.rpo.list_set]
l1:248 [binder, in hydras.rpo.term]
l1:250 [binder, in hydras.rpo.term]
l1:254 [binder, in hydras.rpo.term]
l1:257 [binder, in hydras.rpo.list_set]
l1:26 [binder, in hydras.rpo.dickson]
l1:27 [binder, in hydras.rpo.list_permut]
l1:3 [binder, in additions.Trace_exercise]
l1:30 [binder, in hydras.rpo.dickson]
l1:30 [binder, in hydras.rpo.list_permut]
l1:324 [binder, in hydras.rpo.rpo]
l1:327 [binder, in hydras.rpo.rpo]
l1:34 [binder, in hydras.rpo.dickson]
l1:34 [binder, in hydras.rpo.list_permut]
l1:368 [binder, in hydras.rpo.term]
l1:37 [binder, in hydras.rpo.list_permut]
l1:38 [binder, in hydras.Prelude.Merge_Sort]
l1:39 [binder, in hydras.rpo.dickson]
l1:4 [binder, in hydras.rpo.dickson]
l1:4 [binder, in hydras.rpo.list_permut]
l1:43 [binder, in hydras.Ackermann.codeList]
l1:45 [binder, in hydras.rpo.list_permut]
l1:48 [binder, in hydras.rpo.more_list]
l1:48 [binder, in hydras.rpo.list_permut]
l1:49 [binder, in hydras.Prelude.Merge_Sort]
l1:5 [binder, in hydras.Prelude.Merge_Sort]
l1:51 [binder, in hydras.rpo.list_permut]
l1:53 [binder, in hydras.rpo.list_permut]
l1:56 [binder, in hydras.Prelude.Merge_Sort]
l1:56 [binder, in additions.fib]
l1:56 [binder, in hydras.rpo.list_permut]
l1:57 [binder, in hydras.rpo.term]
l1:59 [binder, in hydras.rpo.term]
l1:59 [binder, in hydras.rpo.list_permut]
l1:61 [binder, in additions.fib]
l1:62 [binder, in hydras.rpo.list_permut]
l1:67 [binder, in hydras.rpo.list_permut]
l1:69 [binder, in hydras.rpo.more_list]
l1:70 [binder, in hydras.rpo.list_permut]
l1:72 [binder, in hydras.rpo.term]
l1:74 [binder, in hydras.rpo.term]
l1:76 [binder, in hydras.rpo.list_permut]
l1:78 [binder, in hydras.rpo.term]
l1:79 [binder, in hydras.rpo.list_set]
l1:82 [binder, in hydras.rpo.list_set]
l1:85 [binder, in hydras.rpo.list_permut]
l1:86 [binder, in hydras.rpo.more_list]
l1:9 [binder, in hydras.rpo.more_list]
l1:91 [binder, in hydras.Prelude.Merge_Sort]
l1:91 [binder, in hydras.rpo.list_set]
l1:93 [binder, in hydras.rpo.list_permut]
l1:94 [binder, in hydras.rpo.more_list]
l1:95 [binder, in hydras.rpo.list_set]
l1:99 [binder, in additions.fib]
L2 [lemma, in hydras.Epsilon0.T1]
L2 [lemma, in hydras.solutions_exercises.predSuccUnicity]
L2 [lemma, in hydras.MoreAck.expressibleExamples]
L2 [lemma, in hydras.solutions_exercises.Limit_Infinity]
L2 [lemma, in hydras.Epsilon0.F_omega]
L2 [lemma, in hydras.solutions_exercises.FibonacciPR]
L2 [lemma, in hydras.solutions_exercises.F_3]
L2 [lemma, in additions.Addition_Chains]
l2hs [definition, in hydras.Hydra.Hydra_Definitions]
l2hsK [lemma, in hydras.Hydra.Hydra_Definitions]
L2_95_S [lemma, in hydras.Hydra.BigBattle]
L2_95 [lemma, in hydras.Hydra.BigBattle]
L2_6_2 [lemma, in hydras.Epsilon0.Paths]
l2':253 [binder, in hydras.rpo.list_set]
l2':254 [binder, in hydras.rpo.list_set]
L22 [lemma, in hydras.Hydra.BigBattle]
l2:10 [binder, in hydras.rpo.more_list]
l2:100 [binder, in additions.fib]
l2:101 [binder, in hydras.Prelude.Merge_Sort]
l2:102 [binder, in hydras.rpo.list_set]
l2:102 [binder, in hydras.rpo.list_permut]
l2:103 [binder, in hydras.Ackermann.primRec]
l2:108 [binder, in hydras.Ackermann.primRec]
l2:108 [binder, in hydras.rpo.list_set]
l2:109 [binder, in hydras.Prelude.Merge_Sort]
l2:111 [binder, in hydras.rpo.more_list]
l2:111 [binder, in hydras.Prelude.Merge_Sort]
l2:115 [binder, in hydras.rpo.list_set]
l2:12 [binder, in hydras.rpo.list_permut]
l2:120 [binder, in hydras.rpo.list_set]
l2:123 [binder, in hydras.rpo.list_set]
l2:125 [binder, in hydras.Prelude.Merge_Sort]
l2:127 [binder, in hydras.rpo.more_list]
l2:128 [binder, in hydras.rpo.list_set]
l2:13 [binder, in hydras.Prelude.Merge_Sort]
l2:133 [binder, in hydras.Prelude.Merge_Sort]
l2:135 [binder, in hydras.rpo.list_set]
l2:139 [binder, in hydras.Prelude.Merge_Sort]
l2:14 [binder, in hydras.rpo.list_permut]
l2:142 [binder, in additions.fib]
l2:142 [binder, in hydras.rpo.list_set]
l2:146 [binder, in hydras.rpo.list_set]
l2:147 [binder, in hydras.Prelude.Merge_Sort]
l2:150 [binder, in hydras.rpo.list_set]
l2:158 [binder, in hydras.Prelude.Merge_Sort]
l2:162 [binder, in hydras.Prelude.Merge_Sort]
l2:166 [binder, in hydras.Prelude.Merge_Sort]
l2:171 [binder, in hydras.Prelude.Merge_Sort]
l2:18 [binder, in hydras.Prelude.Merge_Sort]
l2:180 [binder, in hydras.Prelude.MoreLists]
l2:182 [binder, in hydras.Prelude.Merge_Sort]
l2:185 [binder, in hydras.rpo.more_list]
l2:186 [binder, in hydras.Ackermann.fol]
l2:188 [binder, in hydras.rpo.term]
l2:19 [binder, in hydras.rpo.more_list]
l2:19 [binder, in hydras.rpo.dickson]
l2:192 [binder, in hydras.Prelude.Merge_Sort]
l2:192 [binder, in hydras.Ackermann.fol]
l2:196 [binder, in hydras.Prelude.MoreLists]
l2:198 [binder, in hydras.Prelude.MoreLists]
l2:198 [binder, in hydras.rpo.more_list]
l2:199 [binder, in hydras.Prelude.Merge_Sort]
l2:200 [binder, in hydras.rpo.more_list]
l2:215 [binder, in hydras.Prelude.MoreLists]
l2:22 [binder, in hydras.rpo.list_permut]
l2:221 [binder, in hydras.Prelude.MoreLists]
l2:23 [binder, in hydras.rpo.dickson]
l2:234 [binder, in hydras.rpo.list_set]
l2:235 [binder, in hydras.rpo.term]
l2:237 [binder, in hydras.rpo.term]
l2:237 [binder, in hydras.rpo.list_set]
l2:24 [binder, in hydras.rpo.list_permut]
l2:240 [binder, in hydras.rpo.list_set]
l2:244 [binder, in hydras.rpo.list_set]
l2:249 [binder, in hydras.rpo.term]
l2:251 [binder, in hydras.rpo.term]
l2:255 [binder, in hydras.rpo.term]
l2:258 [binder, in hydras.rpo.term]
l2:258 [binder, in hydras.rpo.list_set]
l2:259 [binder, in hydras.rpo.term]
l2:27 [binder, in hydras.rpo.dickson]
l2:28 [binder, in hydras.rpo.list_permut]
l2:31 [binder, in hydras.rpo.dickson]
l2:31 [binder, in hydras.rpo.list_permut]
l2:326 [binder, in hydras.rpo.rpo]
l2:329 [binder, in hydras.rpo.rpo]
l2:35 [binder, in hydras.rpo.dickson]
l2:35 [binder, in hydras.rpo.list_permut]
l2:370 [binder, in hydras.rpo.term]
l2:38 [binder, in hydras.rpo.list_permut]
l2:39 [binder, in hydras.Prelude.Merge_Sort]
l2:4 [binder, in additions.Trace_exercise]
l2:40 [binder, in hydras.rpo.dickson]
l2:44 [binder, in hydras.Ackermann.codeList]
l2:46 [binder, in hydras.rpo.list_permut]
l2:49 [binder, in hydras.rpo.more_list]
l2:49 [binder, in hydras.rpo.list_permut]
l2:5 [binder, in hydras.rpo.dickson]
l2:5 [binder, in hydras.rpo.list_permut]
l2:50 [binder, in hydras.Prelude.Merge_Sort]
l2:52 [binder, in hydras.rpo.list_permut]
l2:54 [binder, in hydras.rpo.list_permut]
l2:57 [binder, in hydras.Prelude.Merge_Sort]
l2:57 [binder, in additions.fib]
l2:57 [binder, in hydras.rpo.list_permut]
l2:58 [binder, in hydras.rpo.term]
l2:6 [binder, in hydras.Prelude.Merge_Sort]
l2:6 [binder, in additions.Trace_exercise]
l2:60 [binder, in hydras.rpo.term]
l2:60 [binder, in hydras.rpo.list_permut]
l2:62 [binder, in additions.fib]
l2:63 [binder, in hydras.rpo.list_permut]
l2:68 [binder, in hydras.rpo.list_permut]
l2:70 [binder, in hydras.rpo.more_list]
l2:71 [binder, in hydras.rpo.list_permut]
l2:73 [binder, in hydras.rpo.term]
l2:75 [binder, in hydras.rpo.term]
l2:77 [binder, in hydras.rpo.list_permut]
l2:79 [binder, in hydras.rpo.term]
l2:80 [binder, in hydras.rpo.list_set]
l2:83 [binder, in hydras.rpo.list_set]
l2:86 [binder, in hydras.rpo.list_permut]
l2:87 [binder, in hydras.rpo.more_list]
l2:92 [binder, in hydras.Prelude.Merge_Sort]
l2:92 [binder, in hydras.rpo.list_set]
l2:94 [binder, in hydras.rpo.list_permut]
l2:95 [binder, in hydras.rpo.more_list]
l2:96 [binder, in hydras.rpo.list_set]
L3 [lemma, in hydras.Epsilon0.T1]
L3 [lemma, in hydras.MoreAck.expressibleExamples]
L3 [lemma, in hydras.solutions_exercises.Limit_Infinity]
L3 [lemma, in hydras.solutions_exercises.F_3]
L3a [lemma, in hydras.Schutte.Ordering_Functions]
L3_u [lemma, in hydras.Schutte.Ordering_Functions]
l3:199 [binder, in hydras.Prelude.MoreLists]
l3:25 [binder, in hydras.rpo.list_permut]
l3:39 [binder, in hydras.rpo.list_permut]
l3:87 [binder, in hydras.rpo.list_permut]
l3:95 [binder, in hydras.rpo.list_permut]
L4 [lemma, in hydras.Epsilon0.T1]
L4 [lemma, in hydras.MoreAck.expressibleExamples]
L4 [lemma, in hydras.solutions_exercises.Limit_Infinity]
L4 [lemma, in hydras.Hydra.BigBattle]
L4 [lemma, in hydras.solutions_exercises.F_3]
L46 [lemma, in hydras.Hydra.BigBattle]
l4:200 [binder, in hydras.Prelude.MoreLists]
l4:40 [binder, in hydras.rpo.list_permut]
l4:88 [binder, in hydras.rpo.list_permut]
l4:96 [binder, in hydras.rpo.list_permut]
L5 [lemma, in hydras.Epsilon0.T1]
L5 [lemma, in hydras.MoreAck.expressibleExamples]
L5 [lemma, in hydras.MoreAck.Ack]
L6 [lemma, in hydras.Epsilon0.T1]
L6 [lemma, in hydras.MoreAck.expressibleExamples]
L7 [lemma, in hydras.Epsilon0.T1]
L8 [lemma, in hydras.Epsilon0.T1]
L87'' [lemma, in additions.Addition_Chains]
L9 [lemma, in hydras.Epsilon0.T1]
L94 [lemma, in hydras.Hydra.BigBattle]
L95 [lemma, in hydras.Hydra.BigBattle]
L:1 [binder, in hydras.MoreAck.BadSubst]
l:1 [binder, in hydras.Schutte.CNF]
l:1 [binder, in hydras.solutions_exercises.schutte_cnf_counter_example]
l:1 [binder, in hydras.rpo.list_set]
l:1 [binder, in hydras.rpo.list_permut]
l:10 [binder, in hydras.Prelude.MoreLists]
l:10 [binder, in hydras.Prelude.Sort_spec]
l:10 [binder, in hydras.Prelude.Merge_Sort]
l:10 [binder, in hydras.Ackermann.codePA]
l:101 [binder, in hydras.rpo.more_list]
l:104 [binder, in hydras.Prelude.MoreLists]
l:104 [binder, in hydras.Prelude.Merge_Sort]
l:105 [binder, in hydras.rpo.rpo]
l:106 [binder, in hydras.Prelude.Merge_Sort]
l:106 [binder, in hydras.Ackermann.codeList]
l:108 [binder, in hydras.rpo.term]
l:109 [binder, in hydras.rpo.more_list]
l:109 [binder, in hydras.Ackermann.folReplace]
l:11 [binder, in hydras.Prelude.MoreLists]
L:11 [binder, in hydras.MoreAck.FolExamples]
l:111 [binder, in hydras.Ackermann.codeList]
l:112 [binder, in hydras.rpo.rpo]
l:113 [binder, in hydras.Prelude.MoreLists]
l:117 [binder, in hydras.rpo.more_list]
l:119 [binder, in hydras.rpo.rpo]
l:12 [binder, in hydras.solutions_exercises.MultisetWf]
l:120 [binder, in hydras.Prelude.Merge_Sort]
l:121 [binder, in hydras.Prelude.Merge_Sort]
l:121 [binder, in hydras.Ackermann.cPair]
l:121 [binder, in additions.fib]
l:122 [binder, in hydras.Prelude.MoreLists]
l:123 [binder, in hydras.Epsilon0.Hprime]
l:124 [binder, in hydras.Ackermann.cPair]
l:125 [binder, in hydras.rpo.rpo]
l:1284 [binder, in hydras.Ackermann.codeSubFormula]
l:129 [binder, in hydras.Prelude.MoreLists]
l:13 [binder, in gaia_hydras.GLarge_Sets]
l:13 [binder, in hydras.Ackermann.codePA]
L:13 [binder, in hydras.MoreAck.FolExamples]
l:131 [binder, in hydras.Ackermann.cPair]
l:132 [binder, in hydras.Ackermann.cPair]
l:133 [binder, in hydras.rpo.more_list]
l:133 [binder, in hydras.Ackermann.cPair]
l:134 [binder, in hydras.Prelude.MoreLists]
l:135 [binder, in hydras.Ackermann.cPair]
l:135 [binder, in additions.fib]
l:136 [binder, in hydras.Ackermann.cPair]
l:137 [binder, in hydras.rpo.rpo]
l:1375 [binder, in gaia_hydras.nfwfgaia]
l:138 [binder, in hydras.Ackermann.cPair]
l:138 [binder, in hydras.Schutte.Schutte_basics]
l:1386 [binder, in gaia_hydras.nfwfgaia]
l:139 [binder, in hydras.Prelude.MoreLists]
l:139 [binder, in hydras.Hydra.Hydra_Definitions]
l:14 [binder, in hydras.rpo.more_list]
l:14 [binder, in hydras.Schutte.CNF]
l:14 [binder, in hydras.Prelude.Merge_Sort]
l:14 [binder, in hydras.Hydra.Hydra_Definitions]
l:140 [binder, in hydras.Ackermann.cPair]
l:141 [binder, in hydras.rpo.more_list]
l:141 [binder, in hydras.Ackermann.cPair]
l:142 [binder, in hydras.rpo.rpo]
l:143 [binder, in hydras.Ackermann.cPair]
l:145 [binder, in hydras.Prelude.MoreLists]
l:146 [binder, in hydras.Ackermann.cPair]
l:146 [binder, in hydras.Ackermann.codePA]
l:146 [binder, in hydras.rpo.rpo]
l:147 [binder, in additions.fib]
l:149 [binder, in hydras.Ackermann.codePA]
l:15 [binder, in hydras.Prelude.Sort_spec]
l:150 [binder, in hydras.rpo.rpo]
l:151 [binder, in hydras.Prelude.MoreLists]
l:151 [binder, in hydras.rpo.more_list]
l:156 [binder, in hydras.rpo.term]
l:157 [binder, in hydras.rpo.rpo]
l:16 [binder, in hydras.Schutte.CNF]
l:16 [binder, in hydras.rpo.list_set]
l:160 [binder, in hydras.rpo.more_list]
l:160 [binder, in hydras.rpo.rpo]
l:161 [binder, in hydras.rpo.term]
l:166 [binder, in hydras.rpo.rpo]
l:169 [binder, in hydras.rpo.term]
l:169 [binder, in hydras.rpo.more_list]
l:17 [binder, in hydras.rpo.list_permut]
l:170 [binder, in hydras.rpo.rpo]
l:171 [binder, in hydras.Prelude.MoreLists]
l:172 [binder, in hydras.Prelude.MoreLists]
l:175 [binder, in hydras.Prelude.MoreLists]
l:175 [binder, in hydras.Prelude.Merge_Sort]
l:176 [binder, in hydras.rpo.more_list]
l:178 [binder, in hydras.Prelude.Merge_Sort]
l:18 [binder, in hydras.Schutte.CNF]
l:18 [binder, in hydras.solutions_exercises.MultisetWf]
l:184 [binder, in hydras.Prelude.Merge_Sort]
l:186 [binder, in hydras.Prelude.Merge_Sort]
l:189 [binder, in hydras.Prelude.Merge_Sort]
l:19 [binder, in hydras.Prelude.Sort_spec]
l:19 [binder, in hydras.Ackermann.folProp]
l:19 [binder, in additions.Trace_exercise]
l:19 [binder, in hydras.rpo.list_permut]
l:19 [binder, in hydras.Hydra.Hydra_Definitions]
l:191 [binder, in hydras.rpo.more_list]
l:194 [binder, in hydras.Prelude.Merge_Sort]
l:196 [binder, in hydras.Prelude.Merge_Sort]
l:2 [binder, in hydras.Prelude.Merge_Sort]
l:20 [binder, in hydras.rpo.dickson]
l:20 [binder, in hydras.rpo.list_permut]
l:200 [binder, in hydras.rpo.rpo]
l:202 [binder, in hydras.Prelude.MoreLists]
l:205 [binder, in hydras.rpo.rpo]
l:207 [binder, in hydras.Prelude.MoreLists]
l:207 [binder, in hydras.rpo.more_list]
l:207 [binder, in hydras.rpo.rpo]
l:208 [binder, in hydras.rpo.rpo]
l:209 [binder, in hydras.rpo.rpo]
l:21 [binder, in hydras.Schutte.CNF]
l:211 [binder, in hydras.Ackermann.codeList]
l:216 [binder, in hydras.Ackermann.codeList]
l:217 [binder, in hydras.rpo.term]
l:217 [binder, in hydras.rpo.more_list]
l:217 [binder, in hydras.rpo.rpo]
l:22 [binder, in hydras.Prelude.Sort_spec]
l:22 [binder, in hydras.solutions_exercises.MultisetWf]
l:22 [binder, in hydras.Ackermann.codePA]
l:221 [binder, in hydras.rpo.rpo]
l:222 [binder, in hydras.rpo.term]
l:223 [binder, in hydras.rpo.term]
l:223 [binder, in hydras.rpo.rpo]
l:227 [binder, in hydras.rpo.more_list]
l:227 [binder, in hydras.rpo.rpo]
l:23 [binder, in hydras.OrdinalNotations.ON_Omega2]
l:23 [binder, in hydras.Schutte.CNF]
l:23 [binder, in hydras.Hydra.Hydra_Definitions]
l:232 [binder, in hydras.rpo.more_list]
l:234 [binder, in hydras.rpo.rpo]
l:235 [binder, in hydras.rpo.more_list]
l:24 [binder, in hydras.rpo.more_list]
l:24 [binder, in hydras.Ackermann.folProp]
l:24 [binder, in hydras.rpo.dickson]
l:243 [binder, in hydras.rpo.rpo]
l:244 [binder, in hydras.rpo.more_list]
l:25 [binder, in hydras.Schutte.CNF]
l:25 [binder, in hydras.Ackermann.codePA]
l:25 [binder, in hydras.Hydra.Hydra_Definitions]
l:254 [binder, in hydras.rpo.more_list]
l:26 [binder, in hydras.Prelude.Sort_spec]
l:26 [binder, in hydras.Epsilon0.Large_Sets]
l:26 [binder, in hydras.rpo.list_permut]
l:266 [binder, in hydras.rpo.more_list]
l:266 [binder, in hydras.rpo.rpo]
l:267 [binder, in hydras.rpo.term]
l:27 [binder, in hydras.Ackermann.folProp]
l:27 [binder, in hydras.Ackermann.primRec]
l:27 [binder, in hydras.rpo.list_set]
l:277 [binder, in hydras.rpo.term]
l:28 [binder, in hydras.rpo.dickson]
l:28 [binder, in hydras.Ackermann.Languages]
l:28 [binder, in hydras.Ackermann.codePA]
l:281 [binder, in hydras.rpo.rpo]
l:285 [binder, in hydras.rpo.term]
l:286 [binder, in hydras.rpo.term]
l:287 [binder, in hydras.rpo.term]
l:29 [binder, in hydras.Prelude.DecPreOrder_Instances]
l:29 [binder, in hydras.rpo.more_list]
l:29 [binder, in gaia_hydras.GPaths]
l:29 [binder, in hydras.solutions_exercises.MultisetWf]
l:29 [binder, in hydras.Ackermann.primRec]
l:293 [binder, in hydras.Ackermann.codeFreeVar]
l:295 [binder, in hydras.Ackermann.codeFreeVar]
l:295 [binder, in hydras.Ackermann.codeList]
l:297 [binder, in hydras.Ackermann.codeList]
l:3 [binder, in hydras.Hydra.Hydra_Theorems]
l:3 [binder, in hydras.Ackermann.Deduction]
l:3 [binder, in hydras.Ackermann.codeList]
l:300 [binder, in hydras.Ackermann.codeFreeVar]
l:302 [binder, in hydras.Ackermann.codeFreeVar]
l:302 [binder, in hydras.Ackermann.codeList]
l:304 [binder, in hydras.Ackermann.codeFreeVar]
l:304 [binder, in hydras.Ackermann.codeList]
l:305 [binder, in hydras.rpo.term]
l:306 [binder, in hydras.rpo.term]
l:306 [binder, in hydras.Ackermann.codeFreeVar]
l:306 [binder, in hydras.Ackermann.codeList]
l:308 [binder, in hydras.Ackermann.codeFreeVar]
l:308 [binder, in hydras.Ackermann.codeList]
l:31 [binder, in hydras.Prelude.MoreLists]
l:31 [binder, in hydras.Ackermann.codePA]
l:31 [binder, in hydras.Hydra.Hydra_Definitions]
l:310 [binder, in hydras.Ackermann.codeFreeVar]
l:310 [binder, in hydras.Ackermann.codeList]
l:312 [binder, in hydras.Ackermann.codeFreeVar]
l:312 [binder, in hydras.Ackermann.codeList]
l:314 [binder, in hydras.Ackermann.codeFreeVar]
l:314 [binder, in hydras.Ackermann.codeList]
l:316 [binder, in hydras.Ackermann.codeFreeVar]
l:316 [binder, in hydras.Ackermann.codeList]
l:318 [binder, in hydras.Ackermann.codeFreeVar]
l:318 [binder, in hydras.Ackermann.codeList]
l:319 [binder, in hydras.Ackermann.codeList]
l:32 [binder, in hydras.Ackermann.subAll]
l:32 [binder, in hydras.Ackermann.folProp]
l:32 [binder, in hydras.rpo.dickson]
l:320 [binder, in hydras.Ackermann.codeFreeVar]
l:320 [binder, in hydras.Ackermann.codeList]
l:321 [binder, in hydras.Ackermann.codeFreeVar]
l:322 [binder, in hydras.Ackermann.codeFreeVar]
l:322 [binder, in hydras.Ackermann.codeList]
l:323 [binder, in hydras.Ackermann.codeFreeVar]
l:324 [binder, in hydras.Ackermann.codeFreeVar]
l:324 [binder, in hydras.Ackermann.codeList]
l:325 [binder, in hydras.Ackermann.codeFreeVar]
l:326 [binder, in hydras.Ackermann.codeList]
l:328 [binder, in hydras.Ackermann.codeList]
l:33 [binder, in hydras.Prelude.Merge_Sort]
l:33 [binder, in hydras.Ackermann.Languages]
l:330 [binder, in hydras.Ackermann.codeList]
l:332 [binder, in hydras.Ackermann.codeList]
l:334 [binder, in hydras.rpo.term]
l:334 [binder, in hydras.Ackermann.codeList]
l:336 [binder, in hydras.Ackermann.codeList]
l:338 [binder, in hydras.Ackermann.codeList]
l:339 [binder, in hydras.rpo.term]
l:34 [binder, in hydras.rpo.more_list]
l:34 [binder, in hydras.Prelude.Sort_spec]
l:34 [binder, in hydras.solutions_exercises.MultisetWf]
l:34 [binder, in hydras.Ackermann.codePA]
l:340 [binder, in hydras.Ackermann.codeList]
l:341 [binder, in hydras.Ackermann.codeList]
l:342 [binder, in hydras.Ackermann.codeList]
l:344 [binder, in hydras.Ackermann.codeList]
l:346 [binder, in hydras.Ackermann.codeList]
l:347 [binder, in hydras.rpo.term]
l:348 [binder, in hydras.Ackermann.codeList]
l:35 [binder, in hydras.Hydra.Hydra_Lemmas]
l:350 [binder, in hydras.Ackermann.codeList]
l:351 [binder, in hydras.rpo.term]
l:352 [binder, in hydras.rpo.term]
l:352 [binder, in hydras.Ackermann.codeList]
l:354 [binder, in hydras.Ackermann.codeList]
l:355 [binder, in hydras.Ackermann.codeList]
l:359 [binder, in hydras.rpo.term]
l:36 [binder, in hydras.Ackermann.subAll]
l:36 [binder, in hydras.Ackermann.primRec]
l:36 [binder, in hydras.rpo.dickson]
l:360 [binder, in hydras.rpo.term]
l:364 [binder, in hydras.rpo.term]
l:366 [binder, in hydras.rpo.term]
l:37 [binder, in hydras.Ackermann.Languages]
l:37 [binder, in hydras.Ackermann.codePA]
l:38 [binder, in hydras.rpo.term]
l:38 [binder, in hydras.rpo.more_list]
l:39 [binder, in hydras.Ackermann.Languages]
l:4 [binder, in hydras.rpo.more_list]
l:4 [binder, in hydras.Prelude.Sort_spec]
l:4 [binder, in hydras.Schutte.CNF]
l:40 [binder, in hydras.Ackermann.subAll]
l:40 [binder, in hydras.solutions_exercises.MultisetWf]
l:40 [binder, in hydras.Prelude.Merge_Sort]
l:40 [binder, in hydras.Hydra.Hydra_Lemmas]
l:40 [binder, in hydras.Ackermann.codePA]
l:41 [binder, in hydras.rpo.list_set]
l:411 [binder, in hydras.Epsilon0.Paths]
l:42 [binder, in hydras.Prelude.Merge_Sort]
l:42 [binder, in hydras.Ackermann.codePA]
l:42 [binder, in hydras.rpo.rpo]
l:43 [binder, in hydras.Prelude.Sort_spec]
l:43 [binder, in hydras.solutions_exercises.MultisetWf]
l:43 [binder, in hydras.MoreAck.FolExamples]
l:44 [binder, in hydras.rpo.term]
l:44 [binder, in hydras.rpo.list_permut]
l:44 [binder, in hydras.Ackermann.codePA]
l:440 [binder, in hydras.Epsilon0.Paths]
l:444 [binder, in hydras.Epsilon0.Paths]
l:45 [binder, in hydras.rpo.term]
l:45 [binder, in hydras.rpo.more_list]
l:45 [binder, in hydras.Prelude.Merge_Sort]
l:45 [binder, in hydras.Ackermann.primRec]
l:45 [binder, in hydras.Hydra.Hydra_Lemmas]
l:46 [binder, in hydras.Ackermann.codePA]
l:47 [binder, in hydras.Hydra.O2H]
l:47 [binder, in hydras.rpo.list_set]
l:47 [binder, in hydras.rpo.list_permut]
l:47 [binder, in hydras.rpo.rpo]
l:477 [binder, in hydras.Epsilon0.Paths]
l:48 [binder, in hydras.solutions_exercises.MultisetWf]
l:48 [binder, in hydras.Ackermann.codePA]
l:484 [binder, in hydras.Epsilon0.Paths]
l:488 [binder, in hydras.Epsilon0.Paths]
l:49 [binder, in gaia_hydras.GPaths]
l:49 [binder, in hydras.Hydra.Hydra_Lemmas]
l:5 [binder, in hydras.Ackermann.codeSubFormula]
l:5 [binder, in hydras.Ackermann.codePA]
l:50 [binder, in additions.fib]
l:50 [binder, in hydras.rpo.list_set]
l:50 [binder, in hydras.Epsilon0.Paths]
l:50 [binder, in hydras.rpo.list_permut]
l:50 [binder, in hydras.Ackermann.codePA]
l:51 [binder, in hydras.solutions_exercises.MultisetWf]
l:51 [binder, in hydras.Prelude.Merge_Sort]
l:51 [binder, in hydras.rpo.rpo]
l:52 [binder, in hydras.Prelude.MoreLists]
l:52 [binder, in hydras.rpo.more_list]
l:52 [binder, in gaia_hydras.GPaths]
l:52 [binder, in hydras.Schutte.CNF]
l:52 [binder, in hydras.Ackermann.codePA]
l:53 [binder, in hydras.Schutte.CNF]
l:53 [binder, in additions.fib]
l:54 [binder, in hydras.Ackermann.codePA]
l:547 [binder, in hydras.Epsilon0.Paths]
l:55 [binder, in hydras.Schutte.CNF]
l:55 [binder, in hydras.Ackermann.primRec]
l:55 [binder, in hydras.rpo.rpo]
l:551 [binder, in hydras.Epsilon0.Paths]
l:56 [binder, in hydras.Prelude.MoreLists]
l:56 [binder, in hydras.Prelude.Sort_spec]
l:56 [binder, in hydras.rpo.list_set]
l:56 [binder, in hydras.Ackermann.codePA]
l:58 [binder, in additions.fib]
l:58 [binder, in hydras.rpo.list_permut]
l:58 [binder, in hydras.Ackermann.codePA]
l:59 [binder, in hydras.rpo.more_list]
l:59 [binder, in hydras.Schutte.CNF]
l:6 [binder, in hydras.rpo.dickson]
l:60 [binder, in hydras.Schutte.CNF]
l:60 [binder, in hydras.Ackermann.codePA]
l:61 [binder, in hydras.Prelude.MoreLists]
l:61 [binder, in hydras.solutions_exercises.MultisetWf]
l:61 [binder, in hydras.rpo.list_permut]
l:61 [binder, in hydras.Ackermann.codePA]
l:613 [binder, in hydras.Gamma0.Gamma0]
l:617 [binder, in hydras.Gamma0.Gamma0]
l:62 [binder, in hydras.Prelude.MoreLists]
l:62 [binder, in hydras.Schutte.Well_Orders]
l:62 [binder, in hydras.Ackermann.codePA]
l:62 [binder, in hydras.rpo.rpo]
l:63 [binder, in hydras.Prelude.MoreLists]
l:63 [binder, in hydras.Ackermann.codePA]
l:64 [binder, in hydras.solutions_exercises.MultisetWf]
l:64 [binder, in hydras.rpo.list_set]
l:65 [binder, in hydras.rpo.rpo]
l:66 [binder, in hydras.rpo.more_list]
l:66 [binder, in hydras.solutions_exercises.MultisetWf]
l:67 [binder, in hydras.Prelude.MoreLists]
l:67 [binder, in hydras.rpo.more_list]
l:67 [binder, in hydras.Prelude.Sort_spec]
l:67 [binder, in hydras.solutions_exercises.MultisetWf]
l:68 [binder, in hydras.Ackermann.folProp]
l:69 [binder, in hydras.Schutte.Correctness_E0]
l:69 [binder, in hydras.Prelude.Sort_spec]
l:69 [binder, in hydras.Ackermann.folProp]
l:691 [binder, in hydras.Epsilon0.T1]
l:695 [binder, in hydras.Epsilon0.T1]
l:698 [binder, in hydras.Epsilon0.T1]
L:7 [binder, in hydras.MoreAck.BadSubst]
l:7 [binder, in hydras.Prelude.Sort_spec]
l:7 [binder, in hydras.solutions_exercises.OnCodeList]
l:7 [binder, in hydras.Prelude.Merge_Sort]
l:7 [binder, in hydras.Ackermann.ListExt]
l:70 [binder, in hydras.solutions_exercises.MultisetWf]
l:70 [binder, in hydras.rpo.list_set]
l:71 [binder, in hydras.rpo.rpo]
l:72 [binder, in hydras.solutions_exercises.MultisetWf]
l:73 [binder, in hydras.Prelude.MoreLists]
l:73 [binder, in hydras.Ackermann.folProp]
l:74 [binder, in hydras.rpo.list_set]
l:75 [binder, in hydras.Prelude.MoreLists]
l:76 [binder, in hydras.rpo.more_list]
l:76 [binder, in hydras.rpo.list_set]
l:77 [binder, in hydras.rpo.more_list]
l:77 [binder, in additions.fib]
l:77 [binder, in hydras.rpo.list_set]
l:78 [binder, in hydras.Prelude.Sort_spec]
l:794 [binder, in hydras.Ackermann.checkPrf]
l:8 [binder, in hydras.Schutte.CNF]
l:8 [binder, in hydras.Ackermann.codeSubFormula]
l:8 [binder, in hydras.solutions_exercises.MultisetWf]
l:8 [binder, in hydras.Prelude.Merge_Sort]
l:8 [binder, in hydras.rpo.list_permut]
l:8 [binder, in hydras.Ackermann.codePA]
l:80 [binder, in hydras.Prelude.Merge_Sort]
l:800 [binder, in hydras.Ackermann.checkPrf]
l:805 [binder, in hydras.Ackermann.checkPrf]
l:809 [binder, in hydras.Ackermann.checkPrf]
l:82 [binder, in hydras.rpo.more_list]
l:82 [binder, in hydras.Prelude.Merge_Sort]
l:83 [binder, in hydras.Prelude.Merge_Sort]
l:835 [binder, in hydras.Ackermann.checkPrf]
l:84 [binder, in hydras.Hydra.Hydra_Lemmas]
l:847 [binder, in hydras.Ackermann.checkPrf]
l:85 [binder, in hydras.Prelude.Merge_Sort]
l:86 [binder, in hydras.Prelude.Merge_Sort]
l:86 [binder, in hydras.Hydra.Hydra_Lemmas]
l:86 [binder, in hydras.rpo.list_set]
l:860 [binder, in hydras.Ackermann.checkPrf]
l:864 [binder, in gaia_hydras.nfwfgaia]
l:865 [binder, in hydras.Ackermann.checkPrf]
l:87 [binder, in hydras.rpo.term]
l:87 [binder, in hydras.Gamma0.Gamma0]
l:873 [binder, in gaia_hydras.nfwfgaia]
l:878 [binder, in hydras.Ackermann.checkPrf]
l:88 [binder, in hydras.rpo.list_set]
l:881 [binder, in hydras.Ackermann.checkPrf]
l:9 [binder, in hydras.Hydra.O2H]
l:9 [binder, in hydras.Prelude.First_toggle]
l:90 [binder, in hydras.Ackermann.primRec]
l:93 [binder, in hydras.Prelude.MoreLists]
l:93 [binder, in hydras.rpo.more_list]
l:94 [binder, in hydras.Hydra.O2H]
l:95 [binder, in hydras.Prelude.Merge_Sort]
l:95 [binder, in hydras.Ackermann.primRec]
l:96 [binder, in hydras.Prelude.Merge_Sort]
l:98 [binder, in hydras.Prelude.Merge_Sort]
l:99 [binder, in hydras.rpo.term]
l:99 [binder, in hydras.Ackermann.primRec]

M

m [definition, in hydras.Hydra.Hydra_Termination]
M [definition, in hydras.Hydra.BigBattle]
m [definition, in gaia_hydras.GHydra]
majorAnyPR [lemma, in hydras.MoreAck.AckNotPR]
majorized [definition, in hydras.MoreAck.AckNotPR]
majorizedPR [definition, in hydras.MoreAck.AckNotPR]
majorizedS [definition, in hydras.MoreAck.AckNotPR]
majorizedSPR [definition, in hydras.MoreAck.AckNotPR]
majorProjection [lemma, in hydras.MoreAck.AckNotPR]
majorPR1 [lemma, in hydras.MoreAck.AckNotPR]
majorPR2 [lemma, in hydras.MoreAck.AckNotPR]
majorPR2_strict [lemma, in hydras.MoreAck.AckNotPR]
majorSucc [lemma, in hydras.MoreAck.AckNotPR]
majorZero [lemma, in hydras.MoreAck.AckNotPR]
Make [module, in hydras.rpo.term]
Make [module, in hydras.rpo.list_set]
Make [module, in hydras.rpo.dickson]
Make [module, in hydras.rpo.list_permut]
Make [module, in hydras.rpo.rpo]
makeTrace [definition, in hydras.Ackermann.codeSubFormula]
makeTraceCorrect [lemma, in hydras.Ackermann.codeSubFormula]
makeTraceForall [definition, in hydras.Ackermann.codeSubFormula]
makeTraceForallNice [lemma, in hydras.Ackermann.codeSubFormula]
makeTraceImp [definition, in hydras.Ackermann.codeSubFormula]
makeTraceImpNice [lemma, in hydras.Ackermann.codeSubFormula]
makeTraceNot [definition, in hydras.Ackermann.codeSubFormula]
makeTraceNotNice [lemma, in hydras.Ackermann.codeSubFormula]
makeTrace1 [lemma, in hydras.Ackermann.codeSubFormula]
makeTrace2 [lemma, in hydras.Ackermann.codeSubFormula]
make_chain [definition, in additions.AM]
make_chain_correct [lemma, in additions.Euclidean_Chains]
make_chain [definition, in additions.Euclidean_Chains]
Make.acc_build [lemma, in hydras.rpo.rpo]
Make.acc_lex_drop_proof [lemma, in hydras.rpo.rpo]
Make.ac_syntactic [lemma, in hydras.rpo.list_permut]
Make.ac_syntactic_aux [lemma, in hydras.rpo.list_permut]
Make.add [definition, in hydras.rpo.list_set]
Make.add_comm [lemma, in hydras.rpo.list_set]
Make.add_without_red [definition, in hydras.rpo.list_set]
Make.add_12 [lemma, in hydras.rpo.list_set]
Make.add_2 [lemma, in hydras.rpo.list_set]
Make.add_1 [lemma, in hydras.rpo.list_set]
Make.add_prf [lemma, in hydras.rpo.list_set]
Make.apply_subst [definition, in hydras.rpo.term]
Make.build_list_of_SN_terms [definition, in hydras.rpo.rpo]
Make.cardinal [definition, in hydras.rpo.list_set]
Make.cardinal_eq_set [lemma, in hydras.rpo.list_set]
Make.cardinal_union [lemma, in hydras.rpo.list_set]
Make.cardinal_union_inter_12 [lemma, in hydras.rpo.list_set]
Make.cardinal_union_2 [lemma, in hydras.rpo.list_set]
Make.cardinal_union_1 [lemma, in hydras.rpo.list_set]
Make.cardinal_subset [lemma, in hydras.rpo.list_set]
Make.cons_permut_in [lemma, in hydras.rpo.list_permut]
Make.context_multiset_extension_step_app2 [lemma, in hydras.rpo.dickson]
Make.context_trans_clos_multiset_extension_step_app1 [lemma, in hydras.rpo.dickson]
Make.context_multiset_extension_step_app1 [lemma, in hydras.rpo.dickson]
Make.context_list_permut_app2 [lemma, in hydras.rpo.list_permut]
Make.context_list_permut_app1 [lemma, in hydras.rpo.list_permut]
Make.context_list_permut_cons [lemma, in hydras.rpo.list_permut]
Make.DecVar [module, in hydras.rpo.term]
Make.DecVar.A [definition, in hydras.rpo.term]
Make.DecVar.eq_A_dec [lemma, in hydras.rpo.term]
Make.dickson [lemma, in hydras.rpo.dickson]
Make.dickson_aux3 [lemma, in hydras.rpo.dickson]
Make.dickson_aux2 [lemma, in hydras.rpo.dickson]
Make.dickson_aux1 [lemma, in hydras.rpo.dickson]
Make.direct_subterm [definition, in hydras.rpo.term]
Make.DoubleRecursion [section, in hydras.rpo.term]
Make.DoubleRecursion.Pl2 [variable, in hydras.rpo.term]
Make.DoubleRecursion.P2 [variable, in hydras.rpo.term]
Make.DS [module, in hydras.rpo.list_set]
Make.DS [module, in hydras.rpo.dickson]
Make.DS [module, in hydras.rpo.list_permut]
Make.elt [definition, in hydras.rpo.list_set]
Make.elt [definition, in hydras.rpo.list_permut]
Make.empty [definition, in hydras.rpo.list_set]
Make.empty_subst_is_id_list [lemma, in hydras.rpo.term]
Make.empty_subst_is_id [lemma, in hydras.rpo.term]
Make.Eq [constructor, in hydras.rpo.rpo]
Make.eq_term_dec [lemma, in hydras.rpo.term]
Make.eq_set_list_permut_support [lemma, in hydras.rpo.list_set]
Make.eq_set_trans [lemma, in hydras.rpo.list_set]
Make.eq_set_sym [lemma, in hydras.rpo.list_set]
Make.eq_set_refl [lemma, in hydras.rpo.list_set]
Make.eq_set_dec [lemma, in hydras.rpo.list_set]
Make.eq_set [definition, in hydras.rpo.list_set]
Make.eq_elt_dec [definition, in hydras.rpo.list_set]
Make.eq_elt_dec [definition, in hydras.rpo.list_permut]
Make.F [module, in hydras.rpo.term]
Make.filter [definition, in hydras.rpo.list_set]
Make.filter_union [lemma, in hydras.rpo.list_set]
Make.filter_2 [lemma, in hydras.rpo.list_set]
Make.filter_2_list [lemma, in hydras.rpo.list_set]
Make.filter_1 [lemma, in hydras.rpo.list_set]
Make.filter_1_list [lemma, in hydras.rpo.list_set]
Make.filter_aux [definition, in hydras.rpo.list_set]
Make.included_remove_red [lemma, in hydras.rpo.list_set]
Make.included_filter_aux [lemma, in hydras.rpo.list_set]
Make.inter [definition, in hydras.rpo.list_set]
Make.inter_12 [lemma, in hydras.rpo.list_set]
Make.inter_12_aux [lemma, in hydras.rpo.list_set]
Make.inter_2 [lemma, in hydras.rpo.list_set]
Make.inter_2_aux [lemma, in hydras.rpo.list_set]
Make.inter_1 [lemma, in hydras.rpo.list_set]
Make.inter_1_aux [lemma, in hydras.rpo.list_set]
Make.in_permut_in [lemma, in hydras.rpo.list_permut]
Make.in_mult_S [lemma, in hydras.rpo.list_permut]
Make.in_sn_sn [lemma, in hydras.rpo.rpo]
Make.is_a_pos_exists_subtem [lemma, in hydras.rpo.term]
Make.is_a_pos [definition, in hydras.rpo.term]
Make.is_a_set [projection, in hydras.rpo.list_set]
Make.lex1 [lemma, in hydras.rpo.rpo]
Make.lex1_bis [lemma, in hydras.rpo.rpo]
Make.lex2 [lemma, in hydras.rpo.rpo]
Make.lex3 [lemma, in hydras.rpo.rpo]
Make.list_permut_acc [lemma, in hydras.rpo.dickson]
Make.list_permut_multiset_extension_step_2 [lemma, in hydras.rpo.dickson]
Make.list_permut_multiset_extension_step_1 [lemma, in hydras.rpo.dickson]
Make.list_permut_dec [lemma, in hydras.rpo.list_permut]
Make.list_permut_length_2 [lemma, in hydras.rpo.list_permut]
Make.list_permut_length_1 [lemma, in hydras.rpo.list_permut]
Make.list_permut_map [lemma, in hydras.rpo.list_permut]
Make.list_permut_size [lemma, in hydras.rpo.list_permut]
Make.list_permut_length [lemma, in hydras.rpo.list_permut]
Make.list_permut_remove_hd [lemma, in hydras.rpo.list_permut]
Make.list_permut_app_app [lemma, in hydras.rpo.list_permut]
Make.list_permut_add_cons_inside [lemma, in hydras.rpo.list_permut]
Make.list_permut_add_inside [lemma, in hydras.rpo.list_permut]
Make.list_permut_nil [lemma, in hydras.rpo.list_permut]
Make.list_permut_trans [lemma, in hydras.rpo.list_permut]
Make.list_permut_sym [lemma, in hydras.rpo.list_permut]
Make.list_permut_refl [lemma, in hydras.rpo.list_permut]
Make.list_permut [definition, in hydras.rpo.list_permut]
Make.list_to_multiset [definition, in hydras.rpo.list_permut]
Make.list_permut_map_acc [lemma, in hydras.rpo.rpo]
Make.List_mul_rest_step [constructor, in hydras.rpo.rpo]
Make.List_mul_rest [constructor, in hydras.rpo.rpo]
Make.List_eq_rest [constructor, in hydras.rpo.rpo]
Make.List_gt_rest [constructor, in hydras.rpo.rpo]
Make.List_mul [constructor, in hydras.rpo.rpo]
Make.List_eq [constructor, in hydras.rpo.rpo]
Make.List_gt [constructor, in hydras.rpo.rpo]
Make.LP [module, in hydras.rpo.list_set]
Make.LP [module, in hydras.rpo.dickson]
Make.LP [module, in hydras.rpo.rpo]
Make.Lt [constructor, in hydras.rpo.rpo]
Make.make_set [definition, in hydras.rpo.list_set]
Make.map_subst [definition, in hydras.rpo.term]
Make.mem [definition, in hydras.rpo.list_set]
Make.mem_dec [lemma, in hydras.rpo.list_set]
Make.mk_set [constructor, in hydras.rpo.list_set]
Make.mk_sn [constructor, in hydras.rpo.rpo]
Make.multiplicity_app [lemma, in hydras.rpo.list_permut]
Make.multiset_closure [lemma, in hydras.rpo.dickson]
Make.multiset_extension_step [inductive, in hydras.rpo.dickson]
Make.out_mult_O [lemma, in hydras.rpo.list_permut]
Make.o_size3_trans [lemma, in hydras.rpo.rpo]
Make.o_size3 [definition, in hydras.rpo.rpo]
Make.o_size2 [definition, in hydras.rpo.rpo]
Make.o_size [definition, in hydras.rpo.rpo]
Make.P [module, in hydras.rpo.rpo]
Make.projection_list_of_SN_terms [lemma, in hydras.rpo.rpo]
Make.Recursion [section, in hydras.rpo.term]
Make.Recursion.P [variable, in hydras.rpo.term]
Make.Recursion.Pl [variable, in hydras.rpo.term]
Make.remove_not_common [definition, in hydras.rpo.list_set]
Make.remove_red_included [lemma, in hydras.rpo.list_set]
Make.remove_red [definition, in hydras.rpo.list_set]
Make.remove_context_list_permut_app2 [lemma, in hydras.rpo.list_permut]
Make.remove_context_list_permut_cons [lemma, in hydras.rpo.list_permut]
Make.replace_at_pos_list_replace_at_pos_in_subterm [lemma, in hydras.rpo.term]
Make.replace_at_pos_is_replace_at_pos2 [lemma, in hydras.rpo.term]
Make.replace_at_pos_is_replace_at_pos1 [lemma, in hydras.rpo.term]
Make.replace_at_pos_unfold [lemma, in hydras.rpo.term]
Make.replace_at_pos_list [definition, in hydras.rpo.term]
Make.replace_at_pos [definition, in hydras.rpo.term]
Make.rmv_case [constructor, in hydras.rpo.dickson]
Make.rpo [inductive, in hydras.rpo.rpo]
Make.rpo_add_context [lemma, in hydras.rpo.rpo]
Make.rpo_subst [lemma, in hydras.rpo.rpo]
Make.rpo_term [definition, in hydras.rpo.rpo]
Make.rpo_mul_trans_clos [lemma, in hydras.rpo.rpo]
Make.rpo_mul_rest_step [inductive, in hydras.rpo.rpo]
Make.rpo_mul_rest [inductive, in hydras.rpo.rpo]
Make.rpo_lex_rest_same_length [lemma, in hydras.rpo.rpo]
Make.rpo_lex_rest [inductive, in hydras.rpo.rpo]
Make.rpo_rest [definition, in hydras.rpo.rpo]
Make.rpo_trans [lemma, in hydras.rpo.rpo]
Make.rpo_closure [lemma, in hydras.rpo.rpo]
Make.rpo_subterm [lemma, in hydras.rpo.rpo]
Make.rpo_lex_same_length [lemma, in hydras.rpo.rpo]
Make.rpo_mul [inductive, in hydras.rpo.rpo]
Make.rpo_lex [inductive, in hydras.rpo.rpo]
Make.rpo_eq [inductive, in hydras.rpo.rpo]
Make.singleton [definition, in hydras.rpo.list_set]
Make.size [definition, in hydras.rpo.term]
Make.size_subterm_at_pos [lemma, in hydras.rpo.term]
Make.size_direct_subterm [lemma, in hydras.rpo.term]
Make.size_ge_one [lemma, in hydras.rpo.term]
Make.size_unfold [lemma, in hydras.rpo.term]
Make.size2 [definition, in hydras.rpo.rpo]
Make.size3 [definition, in hydras.rpo.rpo]
Make.sn [projection, in hydras.rpo.rpo]
Make.SN_term [record, in hydras.rpo.rpo]
Make.subset [definition, in hydras.rpo.list_set]
Make.subset_cardinal_not_eq_not_eq_set [lemma, in hydras.rpo.list_set]
Make.subset_subset_union [lemma, in hydras.rpo.list_set]
Make.subset_compat [lemma, in hydras.rpo.list_set]
Make.subset_compat_2 [lemma, in hydras.rpo.list_set]
Make.subset_compat_1 [lemma, in hydras.rpo.list_set]
Make.subset_filter [lemma, in hydras.rpo.list_set]
Make.subset_inter_2 [lemma, in hydras.rpo.list_set]
Make.subset_inter_1 [lemma, in hydras.rpo.list_set]
Make.subset_union_2 [lemma, in hydras.rpo.list_set]
Make.subset_union_1 [lemma, in hydras.rpo.list_set]
Make.subset_dec [lemma, in hydras.rpo.list_set]
Make.substitution [definition, in hydras.rpo.term]
Make.subst_comp_is_subst_comp [lemma, in hydras.rpo.term]
Make.subst_comp_is_subst_comp_aux2 [lemma, in hydras.rpo.term]
Make.subst_comp_is_subst_comp_aux1 [lemma, in hydras.rpo.term]
Make.subst_comp [definition, in hydras.rpo.term]
Make.Subterm [constructor, in hydras.rpo.rpo]
Make.subterm_at_pos_apply_subst_apply_subst_subterm_at_pos [lemma, in hydras.rpo.term]
Make.subterm_at_pos [definition, in hydras.rpo.term]
Make.support [projection, in hydras.rpo.list_set]
Make.symbol [definition, in hydras.rpo.term]
Make.t [record, in hydras.rpo.list_set]
Make.T [module, in hydras.rpo.rpo]
Make.Term [constructor, in hydras.rpo.term]
Make.term [inductive, in hydras.rpo.term]
Make.Term_eq_dec.eq_A_dec [definition, in hydras.rpo.term]
Make.Term_eq_dec.A [definition, in hydras.rpo.term]
Make.Term_eq_dec [module, in hydras.rpo.term]
Make.term_rec8 [definition, in hydras.rpo.term]
Make.term_rec7 [definition, in hydras.rpo.term]
Make.term_rec4 [definition, in hydras.rpo.term]
Make.term_rec3 [definition, in hydras.rpo.term]
Make.term_rec2 [definition, in hydras.rpo.term]
Make.Top_eq_mul [constructor, in hydras.rpo.rpo]
Make.Top_eq_lex [constructor, in hydras.rpo.rpo]
Make.Top_gt [constructor, in hydras.rpo.rpo]
Make.tt [projection, in hydras.rpo.rpo]
Make.two_cases [lemma, in hydras.rpo.dickson]
Make.two_cases_rpo [lemma, in hydras.rpo.rpo]
Make.union [definition, in hydras.rpo.list_set]
Make.union_compat_eq_set [lemma, in hydras.rpo.list_set]
Make.union_compat_subset_2 [lemma, in hydras.rpo.list_set]
Make.union_compat_subset_1 [lemma, in hydras.rpo.list_set]
Make.union_assoc [lemma, in hydras.rpo.list_set]
Make.union_comm [lemma, in hydras.rpo.list_set]
Make.union_empty_2 [lemma, in hydras.rpo.list_set]
Make.union_empty_1 [lemma, in hydras.rpo.list_set]
Make.union_12 [lemma, in hydras.rpo.list_set]
Make.union_12_aux [lemma, in hydras.rpo.list_set]
Make.union_2 [lemma, in hydras.rpo.list_set]
Make.union_2_aux [lemma, in hydras.rpo.list_set]
Make.union_1 [lemma, in hydras.rpo.list_set]
Make.union_1_aux [lemma, in hydras.rpo.list_set]
Make.Var [constructor, in hydras.rpo.term]
Make.variable [definition, in hydras.rpo.term]
Make.VSet [module, in hydras.rpo.term]
Make.well_formed_apply_subst [lemma, in hydras.rpo.term]
Make.well_formed_subst [definition, in hydras.rpo.term]
Make.well_formed_list [definition, in hydras.rpo.term]
Make.well_formed_fold [lemma, in hydras.rpo.term]
Make.well_formed_unfold [lemma, in hydras.rpo.term]
Make.well_formed [definition, in hydras.rpo.term]
Make.wf_rpo [lemma, in hydras.rpo.rpo]
Make.wf_rpo_term [lemma, in hydras.rpo.rpo]
Make.wf_on_mul_rest [lemma, in hydras.rpo.rpo]
Make.wf_on_lex_rest [lemma, in hydras.rpo.rpo]
Make.wf_on_rest [lemma, in hydras.rpo.rpo]
Make.wf_size3 [lemma, in hydras.rpo.rpo]
Make.wf_size2 [lemma, in hydras.rpo.rpo]
Make.wf_size [lemma, in hydras.rpo.rpo]
Make.without_red_permut [lemma, in hydras.rpo.list_set]
Make.without_red_remove_not_common [lemma, in hydras.rpo.list_set]
Make.without_red_remove_not_common_aux [lemma, in hydras.rpo.list_set]
Make.without_red_add_without_red [lemma, in hydras.rpo.list_set]
Make.without_red_singleton [lemma, in hydras.rpo.list_set]
Make.without_red_nil [lemma, in hydras.rpo.list_set]
Make.without_red_add [lemma, in hydras.rpo.list_set]
Make.without_red_remove [lemma, in hydras.rpo.list_set]
Make.without_red_remove_red [lemma, in hydras.rpo.list_set]
Make.without_red_filter_aux [lemma, in hydras.rpo.list_set]
Make.without_red [definition, in hydras.rpo.list_set]
Make.X [module, in hydras.rpo.term]
mapListLemma [lemma, in hydras.Ackermann.codeSubFormula]
map_without_repetition [definition, in hydras.rpo.more_list]
map_app [lemma, in hydras.rpo.more_list]
map_map [lemma, in hydras.rpo.more_list]
map12_without_repetition [definition, in hydras.rpo.more_list]
map:296 [binder, in hydras.Ackermann.subAll]
map:340 [binder, in hydras.Ackermann.subAll]
map:345 [binder, in hydras.Ackermann.subAll]
map:350 [binder, in hydras.Ackermann.subAll]
map:373 [binder, in hydras.Ackermann.subAll]
mark [definition, in hydras.Prelude.Sort_spec]
marked [inductive, in hydras.Prelude.Sort_spec]
marked0 [constructor, in hydras.Prelude.Sort_spec]
marked1 [constructor, in hydras.Prelude.Sort_spec]
match2 [definition, in hydras.Prelude.MoreVectors]
max [definition, in hydras.Prelude.Comparable]
maxApp [lemma, in hydras.Ackermann.codeSubFormula]
maximal_critical [definition, in hydras.Schutte.Critical]
maxIsPR [instance, in hydras.Ackermann.primRec]
maxLemma [lemma, in hydras.Ackermann.codeSubFormula]
maxLemma2 [lemma, in hydras.Ackermann.codeSubFormula]
maxLemma3 [lemma, in hydras.Ackermann.codeSubFormula]
maxSubTerm [lemma, in hydras.Ackermann.codeSubFormula]
maxSubTerms [lemma, in hydras.Ackermann.codeSubFormula]
maxVarFreeVar [lemma, in hydras.Ackermann.codeSubFormula]
max_nf [lemma, in hydras.Epsilon0.T1]
max_le_regL [lemma, in hydras.Prelude.More_Arith]
max_le_regR [lemma, in hydras.Prelude.More_Arith]
max_le_plus [lemma, in hydras.Prelude.More_Arith]
max_assoc [instance, in hydras.Prelude.Comparable]
max_refl [lemma, in hydras.Prelude.Comparable]
max_ge_b [lemma, in hydras.Prelude.Comparable]
max_ge_a [lemma, in hydras.Prelude.Comparable]
max_comm [lemma, in hydras.Prelude.Comparable]
max_dec [lemma, in hydras.Prelude.Comparable]
max_v_tl [lemma, in hydras.Prelude.MoreVectors]
max_v_ge [lemma, in hydras.Prelude.MoreVectors]
max_v_lub [lemma, in hydras.Prelude.MoreVectors]
max_v_2 [lemma, in hydras.Prelude.MoreVectors]
max_v [definition, in hydras.Prelude.MoreVectors]
measure_lt [definition, in hydras.OrdinalNotations.ON_Generic]
mem [definition, in hydras.Ackermann.fol]
members [definition, in hydras.solutions_exercises.OnCodeList]
members [definition, in hydras.Schutte.Schutte_basics]
membersOk [lemma, in hydras.solutions_exercises.OnCodeList]
membersOk' [lemma, in hydras.solutions_exercises.OnCodeList]
members_omega [lemma, in hydras.Schutte.Schutte_basics]
members_eq [lemma, in hydras.Schutte.Schutte_basics]
members_proper [lemma, in hydras.Schutte.Ordering_Functions]
mem_head_mult_inv [lemma, in hydras.Hydra.O2H]
mem_head [inductive, in hydras.Hydra.O2H]
merge [definition, in hydras.Prelude.Merge_Sort]
merge_sort_correct [lemma, in hydras.Prelude.Merge_Sort]
merge_permutation [lemma, in hydras.Prelude.Merge_Sort]
merge_LocallySorted [lemma, in hydras.Prelude.Merge_Sort]
merge_Forall [lemma, in hydras.Prelude.Merge_Sort]
merge_equation [lemma, in hydras.Prelude.Merge_Sort]
merge_rec [definition, in hydras.Prelude.Merge_Sort]
merge_ind [definition, in hydras.Prelude.Merge_Sort]
merge_rect [lemma, in hydras.Prelude.Merge_Sort]
merge_aux:115 [binder, in hydras.Prelude.Merge_Sort]
Merge_Sort [library]
min [definition, in hydras.Prelude.Comparable]
minimize [definition, in Goedel.PRrepresentable]
minimize1 [lemma, in Goedel.PRrepresentable]
minIsPR [instance, in hydras.solutions_exercises.MinPR2]
minIsPR [instance, in hydras.solutions_exercises.MinPR]
minoration [lemma, in hydras.Hydra.BigBattle]
minoration_3 [lemma, in hydras.Hydra.BigBattle]
minoration_2 [lemma, in hydras.Hydra.BigBattle]
minoration_1 [lemma, in hydras.Hydra.BigBattle]
minoration_0 [lemma, in hydras.Hydra.BigBattle]
MinPR [library]
minPR_PR [instance, in hydras.solutions_exercises.MinPR2]
minPR_correct [lemma, in hydras.solutions_exercises.MinPR2]
minPR_PR [instance, in hydras.solutions_exercises.MinPR]
MinPR2 [library]
minus [definition, in hydras.Epsilon0.T1]
minusIndIsPR [instance, in hydras.Ackermann.primRec]
minusIsPR [instance, in hydras.Ackermann.primRec]
minus_le [lemma, in hydras.Epsilon0.T1]
minus_a_a [lemma, in hydras.Epsilon0.T1]
minus_lt [lemma, in hydras.Epsilon0.T1]
minus_semi_assoc [lemma, in hydras.Prelude.More_Arith]
minus_exists [lemma, in hydras.Schutte.Addition]
min_assoc [instance, in hydras.Prelude.Comparable]
min_refl [lemma, in hydras.Prelude.Comparable]
min_le_b [lemma, in hydras.Prelude.Comparable]
min_le_ad [lemma, in hydras.Prelude.Comparable]
min_dec [lemma, in hydras.Prelude.Comparable]
min_comm [lemma, in hydras.Prelude.Comparable]
min_max_iff [lemma, in hydras.Prelude.Comparable]
min_alt_correct [lemma, in hydras.solutions_exercises.MinPR]
misc [library]
mIsPR [instance, in hydras.Hydra.Hydra_Theorems]
mkE0 [constructor, in gaia_hydras.T1Bridge]
mkord [constructor, in hydras.Epsilon0.E0]
mkP [constructor, in hydras.Epsilon0.F_alpha]
mkP [constructor, in hydras.Epsilon0.Hprime]
mkQ [constructor, in hydras.Epsilon0.F_alpha]
mks [constructor, in hydras.Hydra.BigBattle]
mlarge [definition, in hydras.Epsilon0.Large_Sets]
mlarge [definition, in gaia_hydras.GLarge_Sets]
mlargeS [definition, in hydras.Epsilon0.Large_Sets]
mlargeS [definition, in gaia_hydras.GLarge_Sets]
mlargeS_iff [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_omega [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_FS [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_iff [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_unshift [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_unicity [lemma, in hydras.Epsilon0.Large_Sets]
mlarge_unicity [lemma, in gaia_hydras.GLarge_Sets]
ml_1 [lemma, in hydras.Gamma0.Gamma0]
ml_psi [lemma, in hydras.Gamma0.Gamma0]
Model [record, in hydras.Ackermann.model]
model [constructor, in hydras.Ackermann.model]
model [library]
ModelConsistent [lemma, in hydras.Ackermann.model]
Model_Theory.Consistent_Theory.T [variable, in hydras.Ackermann.model]
Model_Theory.Consistent_Theory [section, in hydras.Ackermann.model]
Model_Theory.M [variable, in hydras.Ackermann.model]
Model_Theory.L [variable, in hydras.Ackermann.model]
Model_Theory [section, in hydras.Ackermann.model]
mod_Equiv [instance, in additions.Monoid_instances]
mod_op [instance, in additions.Monoid_instances]
mod_equiv [instance, in additions.Monoid_instances]
mod_eq [definition, in additions.Monoid_instances]
Monoid [record, in additions.Monoid_def]
Monoid_EMonoid [instance, in additions.Monoid_def]
Monoid_Exp [inductive, in additions.Addition_Chains]
Monoid_instances [library]
Monoid_def [library]
mono_weak [lemma, in hydras.Prelude.Iterates]
mono_injective [lemma, in hydras.Prelude.Iterates]
mono_le [lemma, in hydras.Prelude.Iterates]
mono_F_Zero [lemma, in hydras.Epsilon0.F_alpha]
mono_seq_weak2 [lemma, in hydras.Schutte.AP]
mono_seq2 [lemma, in hydras.Schutte.AP]
mono_seq [lemma, in hydras.Schutte.AP]
MoreDecidable [library]
MoreEpsilonIota [library]
MoreExamples [module, in hydras.MoreAck.PrimRecExamples]
MoreExamples.cst [definition, in hydras.MoreAck.PrimRecExamples]
MoreExamples.cst0 [definition, in hydras.MoreAck.PrimRecExamples]
MoreExamples.fact [definition, in hydras.MoreAck.PrimRecExamples]
MoreExamples.mult [definition, in hydras.MoreAck.PrimRecExamples]
MoreExamples.plus [definition, in hydras.MoreAck.PrimRecExamples]
MoreLibHyps [library]
MoreLists [library]
MoreOrders [library]
MoreOrderType [section, in gaia_hydras.onType]
MoreOrderType.disp [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.Hlim [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.Hsucc [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.s [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.y [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.x [variable, in gaia_hydras.onType]
MoreOrderType.Succ_no_limit [section, in gaia_hydras.onType]
MoreOrderType.T [variable, in gaia_hydras.onType]
MorePRExamples [library]
MoreVectors [library]
More_Logic_Rules.SysPrf [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.Prf [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.Terms [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.Term [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.System [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.Formulas [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.Formula [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules.L [variable, in hydras.Ackermann.folLogic2]
More_Logic_Rules [section, in hydras.Ackermann.folLogic2]
More_Arith [library]
more_list [library]
More_on_positive [library]
moser_lepper [definition, in hydras.Gamma0.Gamma0]
MP [constructor, in hydras.Ackermann.folProof]
MPSys [lemma, in hydras.MoreAck.FolExamples]
mp:29 [binder, in additions.AM]
mq:28 [binder, in additions.AM]
mq:30 [binder, in additions.AM]
mq:32 [binder, in additions.AM]
ms [definition, in hydras.Hydra.Hydra_Termination]
ms [definition, in gaia_hydras.GHydra]
ms_eqn3 [lemma, in hydras.Hydra.Hydra_Termination]
ms_nf [lemma, in hydras.Hydra.Hydra_Termination]
ms_eqn2 [lemma, in hydras.Hydra.Hydra_Termination]
MUL [constructor, in additions.AM]
mult [abbreviation, in hydras.Epsilon0.T1]
Mult [abbreviation, in hydras.Epsilon0.E0]
Mult [constructor, in additions.Addition_Chains]
multE4 [lemma, in gaia_hydras.T1Bridge]
multE5 [lemma, in gaia_hydras.T1Bridge]
multIndIsPR [instance, in hydras.Ackermann.primRec]
MultisetWf [library]
multIsPR [instance, in hydras.Ackermann.primRec]
multLemma1 [lemma, in hydras.Ackermann.wellFormed]
multLemma2 [lemma, in hydras.Ackermann.wellFormed]
mults_squares [definition, in additions.AM]
mults:5 [binder, in additions.AM]
mult_plus_distr_l [lemma, in hydras.Epsilon0.T1]
mult_mono [lemma, in hydras.Epsilon0.T1]
mult_nf [lemma, in hydras.Epsilon0.T1]
mult_Sn_add [lemma, in hydras.Epsilon0.T1]
mult_0_a [lemma, in hydras.Epsilon0.T1]
mult_nf_fin [lemma, in hydras.Epsilon0.T1]
mult_a_1 [lemma, in hydras.Epsilon0.T1]
mult_1_a [lemma, in hydras.Epsilon0.T1]
mult_a_0 [lemma, in hydras.Epsilon0.T1]
mult_compat [lemma, in hydras.Epsilon0.T1]
mult_fin_omega [lemma, in hydras.Epsilon0.T1]
mult_Sn_dist [lemma, in hydras.Schutte.Correctness_E0]
mult_fin_l [definition, in hydras.OrdinalNotations.ON_Omega2]
mult_fin_r [definition, in hydras.OrdinalNotations.ON_Omega2]
mult_lt_lt [lemma, in hydras.Prelude.More_Arith]
mult_ref [lemma, in gaia_hydras.T1Bridge]
mult_ref0 [lemma, in gaia_hydras.T1Bridge]
mult_op [projection, in additions.Monoid_def]
Mult_op [record, in additions.Monoid_def]
mult_op [constructor, in additions.Monoid_def]
Mult_op [inductive, in additions.Monoid_def]
mult_comp [instance, in hydras.OrdinalNotations.ON_mult]
mult_mod_associative [lemma, in additions.Monoid_instances]
mult_mod_proper [instance, in additions.Monoid_instances]
mult_mod [definition, in additions.Monoid_instances]
mult_plus_distr_l [lemma, in hydras.Epsilon0.E0]
mult_fin_rw [lemma, in hydras.Epsilon0.E0]
Mult_i [instance, in hydras.Epsilon0.E0]
mult_Sn_mono3 [lemma, in hydras.Schutte.Addition]
mult_Sn_mono2 [lemma, in hydras.Schutte.Addition]
mult_fin_r_mono [lemma, in hydras.Schutte.Addition]
mult_fin_r_one [lemma, in hydras.Schutte.Addition]
mult_fin_r [definition, in hydras.Schutte.Addition]
mult_Sn [definition, in hydras.Schutte.Addition]
mult_correct [lemma, in hydras.MoreAck.PrimRecExamples]
mult_eqn1 [lemma, in hydras.MoreAck.PrimRecExamples]
mult:35 [binder, in additions.FirstSteps]
mult:41 [binder, in additions.FirstSteps]
Mul_node [constructor, in additions.Addition_Chains]
Mul2 [instance, in additions.Fib2]
mul2 [definition, in additions.Fib2]
mul:75 [binder, in additions.fib]
mul:82 [binder, in additions.fib]
mul:88 [binder, in additions.fib]
mul:94 [binder, in additions.fib]
mu_beta_h [lemma, in hydras.Hydra.Epsilon0_Needed_Generic]
mu_positive [lemma, in hydras.Hydra.Epsilon0_Needed_Generic]
mu:1 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
mu:1 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
mu:160 [binder, in hydras.Hydra.Hydra_Definitions]
mu:2 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
mu:29 [binder, in gaia_hydras.GHydra]
mu:32 [binder, in gaia_hydras.GHydra]
mVariant [lemma, in gaia_hydras.GHydra]
my_pow_m2lmul [lemma, in additions.fib]
my_pow_m3lmul [lemma, in additions.fib]
my_powP [lemma, in additions.fib]
my_pow [definition, in additions.fib]
m_lt [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
m_variant_LT [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
m_ge [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
M_given.Power_of_op [section, in additions.Pow_variant]
M_given.About_power [section, in additions.Pow_variant]
M_given.E_eq [variable, in additions.Pow_variant]
M_given.E_one [variable, in additions.Pow_variant]
M_given.E_op [variable, in additions.Pow_variant]
M_given.A [variable, in additions.Pow_variant]
M_given [section, in additions.Pow_variant]
M_given.Power_of_op [section, in additions.Pow]
M_given.E_one [variable, in additions.Pow]
M_given.A [variable, in additions.Pow]
M_given [section, in additions.Pow]
m_dominates_Ack [lemma, in hydras.Hydra.Hydra_Theorems]
m_dominates_Ack_from_3 [lemma, in hydras.Hydra.Hydra_Theorems]
m_ge_Ack [lemma, in hydras.Hydra.Hydra_Theorems]
m_ge_F_omega [lemma, in hydras.Hydra.Hydra_Theorems]
m_eqn [lemma, in hydras.Hydra.Hydra_Theorems]
m_ms [lemma, in hydras.Hydra.Hydra_Termination]
m_nf [lemma, in hydras.Hydra.Hydra_Termination]
m_lt [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
m_decrease [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
m_ge [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
m_neq_0 [lemma, in additions.Monoid_instances]
m_nf [lemma, in gaia_hydras.GHydra]
m_ref [lemma, in gaia_hydras.GHydra]
m_strict_mono [lemma, in hydras.Hydra.Hydra_Lemmas]
m_ge_generic [lemma, in hydras.Hydra.Epsilon0_Needed_Generic]
m_ge_0 [lemma, in hydras.Hydra.Epsilon0_Needed_Generic]
m_ge [lemma, in hydras.Hydra.Omega2_Small]
m_lt [lemma, in hydras.Hydra.Omega2_Small]
m_big_h_not_null [lemma, in hydras.Hydra.Omega2_Small]
m_def [lemma, in hydras.Epsilon0.Paths]
m_ge [lemma, in hydras.Hydra.Omega_Small]
m_lt [lemma, in hydras.Hydra.Omega_Small]
m_bounded [projection, in hydras.Hydra.Hydra_Definitions]
M'':37 [binder, in additions.Naive]
m':19 [binder, in additions.Monoid_instances]
M':29 [binder, in additions.Naive]
M':32 [binder, in additions.FirstSteps]
M':36 [binder, in additions.Naive]
m':47 [binder, in hydras.rpo.dickson]
m':91 [binder, in hydras.Ackermann.primRec]
m0:60 [binder, in hydras.Ackermann.folLogic3]
m1:12 [binder, in gaia_hydras.nfwfgaia]
m1:14 [binder, in hydras.Ackermann.subAll]
m1:152 [binder, in additions.fib]
m1:16 [binder, in gaia_hydras.nfwfgaia]
m1:19 [binder, in hydras.Ackermann.subAll]
m1:20 [binder, in gaia_hydras.nfwfgaia]
m1:208 [binder, in hydras.Ackermann.subAll]
m1:213 [binder, in hydras.Ackermann.subAll]
m1:218 [binder, in hydras.Ackermann.subAll]
m1:223 [binder, in hydras.Ackermann.subAll]
m1:228 [binder, in hydras.Ackermann.subAll]
m1:24 [binder, in hydras.Ackermann.subAll]
m1:29 [binder, in hydras.Ackermann.subAll]
m1:51 [binder, in hydras.Ackermann.subAll]
m1:659 [binder, in gaia_hydras.nfwfgaia]
m1:663 [binder, in gaia_hydras.nfwfgaia]
M2 [module, in additions.FirstSteps]
M2 [module, in additions.Naive]
M2 [record, in additions.Monoid_instances]
m2lfib [definition, in additions.fib]
m2lfibP [lemma, in additions.fib]
m2lmul [definition, in additions.fib]
m2lmulP [lemma, in additions.fib]
m2lmx [definition, in additions.fib]
m2lpow [definition, in additions.fib]
M2N [definition, in additions.Monoid_instances]
M2_Monoid [instance, in additions.Monoid_instances]
M2_op [instance, in additions.Monoid_instances]
M2_eq_intros [lemma, in additions.Monoid_instances]
M2_mult [definition, in additions.Monoid_instances]
M2_def.rt [variable, in additions.Monoid_instances]
_ * _ [notation, in additions.Monoid_instances]
_ + _ [notation, in additions.Monoid_instances]
1 [notation, in additions.Monoid_instances]
0 [notation, in additions.Monoid_instances]
M2_def.mult [variable, in additions.Monoid_instances]
M2_def.plus [variable, in additions.Monoid_instances]
M2_def.one [variable, in additions.Monoid_instances]
M2_def.zero [variable, in additions.Monoid_instances]
M2_def.A [variable, in additions.Monoid_instances]
M2_def [section, in additions.Monoid_instances]
M2.c00 [projection, in additions.FirstSteps]
M2.c00 [projection, in additions.Naive]
M2.c01 [projection, in additions.FirstSteps]
M2.c01 [projection, in additions.Naive]
M2.c10 [projection, in additions.FirstSteps]
M2.c10 [projection, in additions.Naive]
M2.c11 [projection, in additions.FirstSteps]
M2.c11 [projection, in additions.Naive]
M2.Definitions [section, in additions.Naive]
M2.Definitions.A [variable, in additions.Naive]
M2.Definitions.mult [variable, in additions.Naive]
M2.Definitions.one [variable, in additions.Naive]
M2.Definitions.plus [variable, in additions.Naive]
M2.Definitions.rt [variable, in additions.Naive]
M2.Definitions.zero [variable, in additions.Naive]
_ ** _ [notation, in additions.Naive]
_ * _ [notation, in additions.Naive]
_ + _ [notation, in additions.Naive]
0 [notation, in additions.Naive]
1 [notation, in additions.Naive]
M2.Id2 [definition, in additions.FirstSteps]
M2.Id2 [definition, in additions.Naive]
M2.Id2_neutral [lemma, in additions.Naive]
M2.mat [constructor, in additions.FirstSteps]
M2.mat [constructor, in additions.Naive]
M2.M2_mult [definition, in additions.FirstSteps]
_ * _ [notation, in additions.FirstSteps]
_ + _ [notation, in additions.FirstSteps]
1 [notation, in additions.FirstSteps]
0 [notation, in additions.FirstSteps]
M2.M2_Definitions.rt [variable, in additions.FirstSteps]
M2.M2_Definitions.mult [variable, in additions.FirstSteps]
M2.M2_Definitions.plus [variable, in additions.FirstSteps]
M2.M2_Definitions.one [variable, in additions.FirstSteps]
M2.M2_Definitions.zero [variable, in additions.FirstSteps]
M2.M2_Definitions.A [variable, in additions.FirstSteps]
M2.M2_Definitions [section, in additions.FirstSteps]
M2.M2_mult_assoc [lemma, in additions.Naive]
M2.M2_mult [definition, in additions.Naive]
M2.power [definition, in additions.Naive]
M2.power_of_plus [lemma, in additions.Naive]
M2.t [record, in additions.FirstSteps]
M2.t [record, in additions.Naive]
m2:13 [binder, in gaia_hydras.nfwfgaia]
m2:15 [binder, in hydras.Ackermann.subAll]
m2:153 [binder, in additions.fib]
m2:17 [binder, in gaia_hydras.nfwfgaia]
m2:20 [binder, in hydras.Ackermann.subAll]
m2:209 [binder, in hydras.Ackermann.subAll]
m2:21 [binder, in gaia_hydras.nfwfgaia]
m2:214 [binder, in hydras.Ackermann.subAll]
m2:219 [binder, in hydras.Ackermann.subAll]
m2:224 [binder, in hydras.Ackermann.subAll]
m2:229 [binder, in hydras.Ackermann.subAll]
m2:25 [binder, in hydras.Ackermann.subAll]
m2:30 [binder, in hydras.Ackermann.subAll]
m2:52 [binder, in hydras.Ackermann.subAll]
m2:660 [binder, in gaia_hydras.nfwfgaia]
m2:664 [binder, in gaia_hydras.nfwfgaia]
m3lfib [definition, in additions.fib]
m3lfibP [lemma, in additions.fib]
m3lid [definition, in additions.fib]
m3lmul [definition, in additions.fib]
m3lmulP [lemma, in additions.fib]
m3lmx [definition, in additions.fib]
m3lpow [definition, in additions.fib]
m4lfib [definition, in additions.fib]
m4lmul [definition, in additions.fib]
m4lmx [definition, in additions.fib]
m4lval [definition, in additions.fib]
M7_3 [definition, in additions.AM]
M:1 [binder, in hydras.Schutte.Lub]
m:1 [binder, in hydras.MoreAck.Ack]
m:101 [binder, in hydras.Ackermann.primRec]
m:102 [binder, in Goedel.PRrepresentable]
M:102 [binder, in additions.AM]
m:102 [binder, in hydras.Hydra.Hydra_Lemmas]
M:103 [binder, in additions.Euclidean_Chains]
M:105 [binder, in additions.Addition_Chains]
m:106 [binder, in hydras.Ackermann.primRec]
m:107 [binder, in Goedel.PRrepresentable]
M:107 [binder, in additions.AM]
m:109 [binder, in hydras.Ackermann.subAll]
m:11 [binder, in hydras.Prelude.More_Arith]
M:11 [binder, in additions.Compatibility]
M:112 [binder, in additions.AM]
m:112 [binder, in hydras.Hydra.Hydra_Lemmas]
m:113 [binder, in Goedel.PRrepresentable]
M:113 [binder, in additions.Addition_Chains]
m:1134 [binder, in gaia_hydras.nfwfgaia]
M:114 [binder, in additions.Euclidean_Chains]
m:1141 [binder, in gaia_hydras.nfwfgaia]
m:115 [binder, in hydras.Ackermann.subAll]
m:115 [binder, in additions.fib]
m:1156 [binder, in gaia_hydras.nfwfgaia]
m:117 [binder, in Goedel.PRrepresentable]
m:1177 [binder, in gaia_hydras.nfwfgaia]
m:1180 [binder, in gaia_hydras.nfwfgaia]
m:1183 [binder, in gaia_hydras.nfwfgaia]
m:1186 [binder, in gaia_hydras.nfwfgaia]
m:1189 [binder, in gaia_hydras.nfwfgaia]
m:119 [binder, in Goedel.PRrepresentable]
M:119 [binder, in hydras.Epsilon0.Large_Sets]
M:119 [binder, in additions.Addition_Chains]
m:12 [binder, in hydras.Ackermann.subAll]
m:12 [binder, in hydras.rpo.dickson]
M:122 [binder, in additions.AM]
m:1227 [binder, in hydras.Ackermann.codeSubFormula]
m:123 [binder, in Goedel.PRrepresentable]
m:1230 [binder, in hydras.Ackermann.codeSubFormula]
m:1246 [binder, in hydras.Ackermann.codeSubFormula]
m:1249 [binder, in hydras.Ackermann.codeSubFormula]
m:125 [binder, in hydras.Ackermann.cPair]
M:126 [binder, in additions.Addition_Chains]
M:127 [binder, in additions.AM]
m:127 [binder, in hydras.Ackermann.cPair]
m:130 [binder, in Goedel.PRrepresentable]
m:1303 [binder, in hydras.Ackermann.codeSubFormula]
m:1306 [binder, in hydras.Ackermann.codeSubFormula]
m:131 [binder, in hydras.Hydra.Hydra_Lemmas]
M:133 [binder, in additions.Addition_Chains]
m:135 [binder, in Goedel.PRrepresentable]
m:135 [binder, in hydras.Ackermann.codeSubFormula]
m:136 [binder, in additions.fib]
m:1383 [binder, in hydras.Ackermann.codeSubFormula]
m:1386 [binder, in hydras.Ackermann.codeSubFormula]
m:139 [binder, in additions.fib]
M:14 [binder, in additions.Pow_variant]
M:14 [binder, in additions.Pow]
m:14 [binder, in hydras.MoreAck.Ack]
m:141 [binder, in Goedel.PRrepresentable]
m:144 [binder, in hydras.Ackermann.codePA]
m:145 [binder, in hydras.Ackermann.codePA]
m:146 [binder, in Goedel.PRrepresentable]
m:1472 [binder, in gaia_hydras.nfwfgaia]
m:1474 [binder, in gaia_hydras.nfwfgaia]
m:1478 [binder, in gaia_hydras.nfwfgaia]
m:148 [binder, in hydras.Hydra.Hydra_Definitions]
m:1482 [binder, in gaia_hydras.nfwfgaia]
m:1488 [binder, in gaia_hydras.nfwfgaia]
m:1490 [binder, in gaia_hydras.nfwfgaia]
m:15 [binder, in hydras.Ackermann.NNtheory]
m:15 [binder, in hydras.Schutte.Countable]
m:150 [binder, in hydras.Ackermann.cPair]
m:152 [binder, in Goedel.PRrepresentable]
m:1529 [binder, in gaia_hydras.nfwfgaia]
m:153 [binder, in hydras.Ackermann.codePA]
m:154 [binder, in hydras.Ackermann.cPair]
m:154 [binder, in additions.fib]
m:156 [binder, in hydras.Ackermann.cPair]
m:156 [binder, in hydras.Ackermann.codePA]
m:157 [binder, in Goedel.PRrepresentable]
m:158 [binder, in hydras.Ackermann.cPair]
m:158 [binder, in additions.fib]
m:158 [binder, in hydras.Hydra.Hydra_Definitions]
m:159 [binder, in hydras.Ackermann.cPair]
m:16 [binder, in hydras.Ackermann.subAll]
m:16 [binder, in hydras.Ackermann.primRec]
m:16 [binder, in hydras.OrdinalNotations.ON_Generic]
m:16 [binder, in gaia_hydras.onType]
m:160 [binder, in additions.fib]
m:161 [binder, in hydras.Ackermann.cPair]
m:163 [binder, in hydras.Prelude.MoreLists]
M:163 [binder, in additions.Addition_Chains]
M:166 [binder, in additions.Euclidean_Chains]
m:17 [binder, in hydras.Ackermann.codePA]
M:170 [binder, in additions.Addition_Chains]
M:172 [binder, in additions.Euclidean_Chains]
M:176 [binder, in additions.Addition_Chains]
m:1776 [binder, in gaia_hydras.nfwfgaia]
m:1785 [binder, in gaia_hydras.nfwfgaia]
m:18 [binder, in hydras.Prelude.More_Arith]
m:18 [binder, in hydras.MoreAck.AckNotPR]
m:18 [binder, in hydras.Ackermann.primRec]
m:18 [binder, in additions.Monoid_instances]
m:1800 [binder, in gaia_hydras.nfwfgaia]
m:1821 [binder, in gaia_hydras.nfwfgaia]
m:1824 [binder, in gaia_hydras.nfwfgaia]
m:1827 [binder, in gaia_hydras.nfwfgaia]
m:183 [binder, in hydras.Ackermann.fol]
m:1830 [binder, in gaia_hydras.nfwfgaia]
m:1833 [binder, in gaia_hydras.nfwfgaia]
m:184 [binder, in gaia_hydras.nfwfgaia]
m:1848 [binder, in gaia_hydras.nfwfgaia]
m:1855 [binder, in gaia_hydras.nfwfgaia]
M:186 [binder, in additions.Euclidean_Chains]
m:186 [binder, in gaia_hydras.nfwfgaia]
m:1875 [binder, in gaia_hydras.nfwfgaia]
m:188 [binder, in gaia_hydras.nfwfgaia]
m:1881 [binder, in gaia_hydras.nfwfgaia]
m:189 [binder, in hydras.Ackermann.fol]
m:1898 [binder, in gaia_hydras.nfwfgaia]
m:19 [binder, in hydras.Prelude.Compat815]
m:19 [binder, in hydras.Ackermann.model]
m:19 [binder, in hydras.Schutte.Countable]
m:1907 [binder, in gaia_hydras.nfwfgaia]
m:1916 [binder, in gaia_hydras.nfwfgaia]
M:192 [binder, in additions.Addition_Chains]
m:192 [binder, in gaia_hydras.nfwfgaia]
m:1937 [binder, in gaia_hydras.nfwfgaia]
m:1942 [binder, in gaia_hydras.nfwfgaia]
m:1947 [binder, in gaia_hydras.nfwfgaia]
m:196 [binder, in hydras.Ackermann.wellFormed]
m:196 [binder, in gaia_hydras.nfwfgaia]
M:198 [binder, in additions.Euclidean_Chains]
m:1982 [binder, in gaia_hydras.nfwfgaia]
m:1987 [binder, in gaia_hydras.nfwfgaia]
m:199 [binder, in hydras.Ackermann.wellFormed]
m:1993 [binder, in gaia_hydras.nfwfgaia]
m:1998 [binder, in gaia_hydras.nfwfgaia]
m:2 [binder, in hydras.Ackermann.NN2PA]
m:2 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
m:20 [binder, in hydras.Prelude.More_Arith]
M:20 [binder, in additions.Pow_variant]
M:20 [binder, in additions.Pow]
m:20 [binder, in hydras.OrdinalNotations.ON_Generic]
m:20 [binder, in hydras.Ackermann.codePA]
m:2004 [binder, in gaia_hydras.nfwfgaia]
m:202 [binder, in gaia_hydras.nfwfgaia]
m:204 [binder, in gaia_hydras.nfwfgaia]
m:208 [binder, in hydras.Ackermann.cPair]
m:21 [binder, in hydras.Ackermann.subAll]
m:21 [binder, in hydras.Prelude.Compat815]
m:22 [binder, in hydras.Ackermann.primRec]
M:227 [binder, in additions.Addition_Chains]
m:23 [binder, in hydras.Prelude.Compat815]
M:234 [binder, in additions.AM]
M:235 [binder, in additions.Addition_Chains]
m:237 [binder, in Goedel.PRrepresentable]
m:240 [binder, in Goedel.PRrepresentable]
M:241 [binder, in additions.AM]
m:243 [binder, in Goedel.PRrepresentable]
m:246 [binder, in Goedel.PRrepresentable]
m:246 [binder, in hydras.Ackermann.cPair]
m:25 [binder, in hydras.Prelude.Compat815]
m:25 [binder, in hydras.MoreAck.AckNotPR]
m:25 [binder, in hydras.MoreAck.Ack]
m:25 [binder, in hydras.Ackermann.primRec]
m:257 [binder, in hydras.Ackermann.subAll]
m:257 [binder, in hydras.rpo.rpo]
m:26 [binder, in hydras.Ackermann.subAll]
m:26 [binder, in hydras.Ackermann.primRec]
M:269 [binder, in additions.Addition_Chains]
m:269 [binder, in hydras.rpo.rpo]
m:27 [binder, in hydras.Prelude.Compat815]
M:27 [binder, in additions.Pow_variant]
M:27 [binder, in additions.Pow]
m:271 [binder, in hydras.rpo.rpo]
m:272 [binder, in hydras.rpo.rpo]
m:273 [binder, in hydras.rpo.rpo]
m:28 [binder, in hydras.MoreAck.Ack]
m:28 [binder, in hydras.Ackermann.primRec]
M:28 [binder, in additions.Naive]
m:285 [binder, in hydras.Ackermann.subAll]
m:29 [binder, in hydras.Prelude.Compat815]
m:290 [binder, in hydras.Ackermann.subAll]
m:295 [binder, in hydras.Ackermann.subAll]
m:3 [binder, in hydras.Prelude.Compat815]
m:3 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
m:3 [binder, in hydras.Ackermann.PAtheory]
m:30 [binder, in hydras.Ackermann.model]
m:30 [binder, in hydras.Schutte.AP]
M:30 [binder, in additions.Naive]
m:30 [binder, in gaia_hydras.GHydra]
m:31 [binder, in hydras.Ackermann.subAll]
M:31 [binder, in additions.FirstSteps]
m:31 [binder, in hydras.Prelude.Compat815]
m:315 [binder, in hydras.Ackermann.subAll]
m:32 [binder, in hydras.Ackermann.primRec]
M:33 [binder, in additions.Pow_variant]
M:33 [binder, in additions.Pow]
m:33 [binder, in hydras.Schutte.AP]
m:33 [binder, in hydras.MoreAck.Ack]
m:33 [binder, in gaia_hydras.GHydra]
M:34 [binder, in additions.Naive]
m:35 [binder, in hydras.Ackermann.subAll]
m:35 [binder, in hydras.Prelude.Compat815]
m:35 [binder, in hydras.Ackermann.primRec]
M:35 [binder, in additions.Naive]
m:35 [binder, in hydras.Ackermann.folLogic3]
m:36 [binder, in hydras.MoreAck.AckNotPR]
m:37 [binder, in additions.Addition_Chains]
M:38 [binder, in additions.Naive]
m:385 [binder, in gaia_hydras.nfwfgaia]
m:387 [binder, in gaia_hydras.nfwfgaia]
m:39 [binder, in hydras.Ackermann.subAll]
M:39 [binder, in additions.AM]
M:39 [binder, in additions.Euclidean_Chains]
m:4 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
M:40 [binder, in additions.Monoid_def]
m:40 [binder, in additions.fib]
m:41 [binder, in hydras.Ackermann.subAll]
M:43 [binder, in additions.Pow_variant]
M:43 [binder, in additions.Pow]
m:43 [binder, in hydras.Ackermann.primRec]
m:43 [binder, in hydras.Ackermann.wellFormed]
m:439 [binder, in gaia_hydras.nfwfgaia]
M:44 [binder, in hydras.Schutte.Schutte_basics]
m:447 [binder, in Goedel.PRrepresentable]
m:45 [binder, in hydras.Ackermann.subAll]
M:45 [binder, in additions.AM]
M:45 [binder, in additions.Monoid_def]
m:45 [binder, in hydras.Ackermann.wellFormed]
m:45 [binder, in hydras.rpo.dickson]
m:458 [binder, in Goedel.PRrepresentable]
m:46 [binder, in hydras.MoreAck.Ack]
m:46 [binder, in hydras.rpo.dickson]
m:461 [binder, in Goedel.PRrepresentable]
m:466 [binder, in Goedel.PRrepresentable]
m:469 [binder, in Goedel.PRrepresentable]
m:47 [binder, in hydras.MoreAck.Ack]
m:476 [binder, in gaia_hydras.nfwfgaia]
m:479 [binder, in gaia_hydras.nfwfgaia]
m:48 [binder, in hydras.Ackermann.wellFormed]
m:482 [binder, in gaia_hydras.nfwfgaia]
m:485 [binder, in gaia_hydras.nfwfgaia]
m:488 [binder, in gaia_hydras.nfwfgaia]
m:49 [binder, in hydras.rpo.dickson]
m:5 [binder, in hydras.Prelude.Compat815]
M:5 [binder, in additions.Pow_variant]
M:5 [binder, in additions.Pow]
m:5 [binder, in hydras.Ackermann.PAtheory]
m:50 [binder, in Goedel.PRrepresentable]
M:50 [binder, in additions.Monoid_def]
m:50 [binder, in hydras.Ackermann.primRec]
m:50 [binder, in hydras.Ackermann.wellFormed]
M:50 [binder, in additions.Addition_Chains]
M:51 [binder, in hydras.Schutte.Well_Orders]
M:52 [binder, in additions.Pow_variant]
M:52 [binder, in additions.Pow]
m:52 [binder, in hydras.rpo.dickson]
m:53 [binder, in hydras.Ackermann.subAll]
m:53 [binder, in hydras.MoreAck.Ack]
m:53 [binder, in hydras.Ackermann.primRec]
m:53 [binder, in hydras.Ackermann.wellFormed]
m:53 [binder, in hydras.rpo.dickson]
m:539 [binder, in hydras.Ackermann.checkPrf]
m:54 [binder, in hydras.MoreAck.AckNotPR]
m:54 [binder, in hydras.Ackermann.primRec]
m:54 [binder, in hydras.rpo.dickson]
m:542 [binder, in hydras.Ackermann.checkPrf]
m:545 [binder, in gaia_hydras.nfwfgaia]
m:546 [binder, in hydras.Ackermann.checkPrf]
m:549 [binder, in hydras.Ackermann.checkPrf]
m:549 [binder, in gaia_hydras.nfwfgaia]
M:55 [binder, in additions.Monoid_def]
m:551 [binder, in hydras.Ackermann.checkPrf]
m:553 [binder, in hydras.Ackermann.checkPrf]
m:555 [binder, in hydras.Ackermann.checkPrf]
m:557 [binder, in hydras.Ackermann.checkPrf]
m:559 [binder, in hydras.Ackermann.checkPrf]
m:56 [binder, in Goedel.PRrepresentable]
M:56 [binder, in additions.AM]
M:56 [binder, in hydras.Schutte.Well_Orders]
m:56 [binder, in gaia_hydras.nfwfgaia]
m:561 [binder, in hydras.Ackermann.checkPrf]
m:562 [binder, in hydras.Ackermann.checkPrf]
m:569 [binder, in hydras.Ackermann.checkPrf]
M:57 [binder, in additions.Euclidean_Chains]
m:57 [binder, in hydras.rpo.dickson]
m:570 [binder, in hydras.Ackermann.checkPrf]
m:571 [binder, in hydras.Ackermann.checkPrf]
m:572 [binder, in hydras.Ackermann.checkPrf]
m:573 [binder, in hydras.Ackermann.checkPrf]
m:574 [binder, in hydras.Ackermann.checkPrf]
m:574 [binder, in gaia_hydras.nfwfgaia]
m:575 [binder, in hydras.Ackermann.checkPrf]
m:575 [binder, in gaia_hydras.nfwfgaia]
m:576 [binder, in hydras.Ackermann.checkPrf]
m:577 [binder, in hydras.Ackermann.checkPrf]
m:578 [binder, in hydras.Ackermann.checkPrf]
m:579 [binder, in hydras.Ackermann.checkPrf]
m:580 [binder, in hydras.Ackermann.checkPrf]
m:581 [binder, in hydras.Ackermann.checkPrf]
m:582 [binder, in hydras.Ackermann.checkPrf]
m:583 [binder, in hydras.Ackermann.checkPrf]
m:584 [binder, in hydras.Ackermann.checkPrf]
m:585 [binder, in hydras.Ackermann.checkPrf]
m:586 [binder, in hydras.Ackermann.checkPrf]
m:587 [binder, in hydras.Ackermann.checkPrf]
m:588 [binder, in hydras.Ackermann.checkPrf]
m:59 [binder, in hydras.Ackermann.subAll]
m:59 [binder, in hydras.MoreAck.AckNotPR]
m:59 [binder, in hydras.rpo.dickson]
m:590 [binder, in hydras.Ackermann.checkPrf]
m:592 [binder, in hydras.Ackermann.checkPrf]
m:594 [binder, in hydras.Ackermann.checkPrf]
m:596 [binder, in hydras.Ackermann.checkPrf]
m:598 [binder, in hydras.Ackermann.checkPrf]
m:6 [binder, in hydras.MoreAck.Ack]
m:6 [binder, in hydras.Ackermann.primRec]
m:60 [binder, in Goedel.PRrepresentable]
M:60 [binder, in additions.Pow_variant]
M:60 [binder, in additions.Pow]
m:60 [binder, in hydras.MoreAck.Ack]
M:60 [binder, in additions.Monoid_def]
m:600 [binder, in hydras.Ackermann.checkPrf]
m:601 [binder, in hydras.Ackermann.primRec]
m:602 [binder, in hydras.Ackermann.checkPrf]
m:604 [binder, in hydras.Ackermann.checkPrf]
m:606 [binder, in hydras.Ackermann.checkPrf]
m:606 [binder, in hydras.Ackermann.primRec]
m:608 [binder, in hydras.Ackermann.checkPrf]
m:609 [binder, in hydras.Ackermann.checkPrf]
m:609 [binder, in hydras.Ackermann.primRec]
m:609 [binder, in gaia_hydras.nfwfgaia]
m:61 [binder, in hydras.MoreAck.Ack]
M:61 [binder, in additions.Addition_Chains]
m:61 [binder, in hydras.rpo.dickson]
m:610 [binder, in hydras.Ackermann.checkPrf]
m:611 [binder, in hydras.Ackermann.checkPrf]
m:612 [binder, in hydras.Ackermann.checkPrf]
m:612 [binder, in hydras.Ackermann.primRec]
m:613 [binder, in hydras.Ackermann.checkPrf]
m:614 [binder, in hydras.Ackermann.checkPrf]
m:615 [binder, in hydras.Ackermann.checkPrf]
m:615 [binder, in hydras.Ackermann.primRec]
m:616 [binder, in hydras.Ackermann.checkPrf]
m:617 [binder, in hydras.Ackermann.checkPrf]
m:619 [binder, in hydras.Ackermann.checkPrf]
m:62 [binder, in hydras.MoreAck.AckNotPR]
m:62 [binder, in hydras.MoreAck.Ack]
m:62 [binder, in hydras.Ackermann.wellFormed]
m:621 [binder, in hydras.Ackermann.checkPrf]
m:623 [binder, in hydras.Ackermann.checkPrf]
m:623 [binder, in hydras.Ackermann.primRec]
m:625 [binder, in hydras.Ackermann.checkPrf]
m:627 [binder, in hydras.Ackermann.checkPrf]
m:627 [binder, in hydras.Ackermann.primRec]
m:629 [binder, in hydras.Ackermann.checkPrf]
M:63 [binder, in additions.AM]
m:63 [binder, in hydras.MoreAck.Ack]
m:63 [binder, in additions.fib]
m:631 [binder, in hydras.Ackermann.checkPrf]
m:632 [binder, in hydras.Ackermann.primRec]
m:633 [binder, in hydras.Ackermann.checkPrf]
m:635 [binder, in hydras.Ackermann.checkPrf]
m:635 [binder, in hydras.Ackermann.primRec]
m:637 [binder, in hydras.Ackermann.checkPrf]
m:638 [binder, in hydras.Ackermann.checkPrf]
m:639 [binder, in hydras.Ackermann.checkPrf]
m:64 [binder, in Goedel.PRrepresentable]
m:640 [binder, in hydras.Ackermann.checkPrf]
m:640 [binder, in hydras.Ackermann.primRec]
m:641 [binder, in hydras.Ackermann.checkPrf]
m:642 [binder, in hydras.Ackermann.checkPrf]
m:643 [binder, in hydras.Ackermann.checkPrf]
m:644 [binder, in hydras.Ackermann.checkPrf]
m:645 [binder, in hydras.Ackermann.checkPrf]
m:646 [binder, in hydras.Ackermann.checkPrf]
m:646 [binder, in hydras.Ackermann.primRec]
m:647 [binder, in hydras.Ackermann.checkPrf]
m:648 [binder, in hydras.Ackermann.checkPrf]
M:65 [binder, in additions.Monoid_def]
M:65 [binder, in additions.Euclidean_Chains]
m:651 [binder, in hydras.Ackermann.primRec]
m:651 [binder, in gaia_hydras.nfwfgaia]
m:66 [binder, in hydras.MoreAck.Ack]
M:67 [binder, in additions.Addition_Chains]
m:68 [binder, in Goedel.PRrepresentable]
m:68 [binder, in gaia_hydras.nfwfgaia]
m:69 [binder, in hydras.MoreAck.Ack]
m:69 [binder, in additions.fib]
M:7 [binder, in hydras.Schutte.Lub]
m:70 [binder, in hydras.Ackermann.subAll]
m:704 [binder, in gaia_hydras.nfwfgaia]
m:71 [binder, in hydras.MoreAck.Ack]
m:714 [binder, in gaia_hydras.nfwfgaia]
m:72 [binder, in Goedel.PRrepresentable]
M:72 [binder, in additions.Euclidean_Chains]
m:73 [binder, in hydras.MoreAck.Ack]
M:73 [binder, in additions.Monoid_def]
m:74 [binder, in hydras.Ackermann.subAll]
m:75 [binder, in hydras.MoreAck.Ack]
M:75 [binder, in additions.Addition_Chains]
m:751 [binder, in gaia_hydras.nfwfgaia]
m:754 [binder, in gaia_hydras.nfwfgaia]
M:76 [binder, in additions.AM]
m:76 [binder, in hydras.Ackermann.primRec]
m:76 [binder, in additions.fib]
m:77 [binder, in Goedel.PRrepresentable]
m:78 [binder, in hydras.MoreAck.Ack]
m:79 [binder, in hydras.Prelude.Sort_spec]
m:8 [binder, in hydras.Ackermann.subAll]
m:8 [binder, in hydras.Prelude.More_Arith]
m:8 [binder, in hydras.Ackermann.primRec]
m:807 [binder, in gaia_hydras.nfwfgaia]
m:809 [binder, in gaia_hydras.nfwfgaia]
m:82 [binder, in hydras.MoreAck.Ack]
m:83 [binder, in Goedel.PRrepresentable]
m:83 [binder, in hydras.Ackermann.subAll]
m:83 [binder, in additions.fib]
m:837 [binder, in hydras.Ackermann.codeSubFormula]
m:840 [binder, in hydras.Ackermann.codeSubFormula]
m:845 [binder, in hydras.Ackermann.checkPrf]
m:85 [binder, in hydras.MoreAck.Ack]
m:85 [binder, in additions.fib]
m:857 [binder, in hydras.Ackermann.checkPrf]
M:86 [binder, in additions.AM]
m:862 [binder, in hydras.Ackermann.checkPrf]
m:868 [binder, in hydras.Ackermann.codeSubFormula]
m:87 [binder, in Goedel.PRrepresentable]
m:87 [binder, in hydras.Ackermann.subAll]
m:871 [binder, in hydras.Ackermann.codeSubFormula]
m:89 [binder, in hydras.Ackermann.primRec]
m:892 [binder, in hydras.Ackermann.codeSubFormula]
m:895 [binder, in hydras.Ackermann.codeSubFormula]
m:9 [binder, in hydras.Ackermann.subAll]
m:908 [binder, in hydras.Ackermann.codeSubFormula]
m:91 [binder, in Goedel.PRrepresentable]
m:911 [binder, in hydras.Ackermann.codeSubFormula]
M:92 [binder, in additions.Euclidean_Chains]
m:93 [binder, in hydras.Ackermann.subAll]
m:935 [binder, in hydras.Ackermann.codeSubFormula]
m:938 [binder, in hydras.Ackermann.codeSubFormula]
m:94 [binder, in hydras.Ackermann.primRec]
m:95 [binder, in Goedel.PRrepresentable]
m:966 [binder, in gaia_hydras.nfwfgaia]
m:968 [binder, in gaia_hydras.nfwfgaia]
m:97 [binder, in hydras.Ackermann.subAll]
M:97 [binder, in additions.AM]
m:970 [binder, in gaia_hydras.nfwfgaia]
m:974 [binder, in gaia_hydras.nfwfgaia]
m:978 [binder, in gaia_hydras.nfwfgaia]
m:98 [binder, in hydras.Ackermann.primRec]
m:984 [binder, in gaia_hydras.nfwfgaia]
m:986 [binder, in gaia_hydras.nfwfgaia]

N

N [definition, in hydras.Hydra.BigBattle]
Naive [library]
nAnd [lemma, in hydras.Ackermann.LNN]
nAnd [lemma, in hydras.Ackermann.LNT]
nAnd [lemma, in hydras.Ackermann.folLogic]
naryFunc [definition, in hydras.Ackermann.extEqualNat]
naryFunc [definition, in hydras.Ackermann.model]
naryIf [definition, in hydras.solutions_exercises.MinPR2]
naryRel [definition, in hydras.Ackermann.extEqualNat]
naryRel [definition, in hydras.Ackermann.model]
natLE [lemma, in hydras.Ackermann.NNtheory]
natLT [lemma, in hydras.Ackermann.NNtheory]
natModel [definition, in hydras.Ackermann.PAconsistent]
Natmult [instance, in additions.Monoid_instances]
natNE [lemma, in hydras.Ackermann.NNtheory]
Natplus [instance, in additions.Monoid_instances]
natPlus [lemma, in hydras.Ackermann.NNtheory]
natTimes [lemma, in hydras.Ackermann.NNtheory]
natToTerm [definition, in hydras.Ackermann.LNN]
natToTerm [definition, in hydras.Ackermann.LNT]
natToTermLNN [definition, in hydras.Ackermann.codeNatToTerm]
natToTermLNT [definition, in hydras.Ackermann.codeNatToTerm]
Nat_le_TO [instance, in hydras.Prelude.DecPreOrder_Instances]
Nat_le_dec [instance, in hydras.Prelude.DecPreOrder_Instances]
nat_double_or_s_double [lemma, in hydras.Prelude.More_Arith]
nat_power_ok [lemma, in additions.Compatibility]
nat_eqb_false [lemma, in hydras.Ackermann.primRec]
nat_plus_op [instance, in additions.Monoid_instances]
nat_mult_op [instance, in additions.Monoid_instances]
nat_2_term_mono [lemma, in hydras.Gamma0.Gamma0]
nat_lt_psi [lemma, in hydras.Gamma0.Gamma0]
nat_lt_cons [lemma, in hydras.Gamma0.Gamma0]
nat_2_term [definition, in hydras.Gamma0.Gamma0]
NA:4 [binder, in hydras.OrdinalNotations.ON_mult]
NA:4 [binder, in hydras.OrdinalNotations.ON_plus]
nbterms [definition, in hydras.Gamma0.T2]
nb_occ_app [lemma, in hydras.rpo.more_list]
nb_occ [definition, in hydras.rpo.more_list]
NB:8 [binder, in hydras.OrdinalNotations.ON_mult]
NB:8 [binder, in hydras.OrdinalNotations.ON_plus]
neqIsPR [instance, in hydras.Ackermann.primRec]
nested_Ack_bound [lemma, in hydras.MoreAck.Ack]
neutral_r [lemma, in additions.Fib2]
neutral_l [lemma, in additions.Fib2]
NewNotations [library]
newVar [definition, in hydras.Ackermann.folProp]
newVar1 [lemma, in hydras.Ackermann.folProp]
newVar2 [lemma, in hydras.Ackermann.folProp]
nExist [lemma, in hydras.Ackermann.LNN]
nExist [lemma, in hydras.Ackermann.LNT]
nExist [lemma, in hydras.Ackermann.folLogic]
next [definition, in hydras.Hydra.BigBattle]
next_fib [lemma, in additions.Fib2]
next_step [definition, in hydras.Hydra.Hydra_Lemmas]
next_round [definition, in hydras.Hydra.Hydra_Lemmas]
next_round_dec [definition, in hydras.Hydra.Hydra_Lemmas]
nf [definition, in hydras.Epsilon0.T1]
nf [inductive, in hydras.Gamma0.T2]
NF [abbreviation, in hydras.solutions_exercises.MultisetWf]
nfb [definition, in hydras.Gamma0.Gamma0]
nForall [lemma, in hydras.Ackermann.LNN]
nForall [lemma, in hydras.Ackermann.LNT]
nForall [lemma, in hydras.Ackermann.folLogic]
nfwfgaia [library]
nf_LT_right [lemma, in hydras.Epsilon0.T1]
nf_exp_F [lemma, in hydras.Epsilon0.T1]
nf_LT_iff [lemma, in hydras.Epsilon0.T1]
nf_omega_omega [lemma, in hydras.Epsilon0.T1]
nf_phi0 [lemma, in hydras.Epsilon0.T1]
nf_omega [lemma, in hydras.Epsilon0.T1]
nf_Wf [lemma, in hydras.Epsilon0.T1]
nf_Acc [definition, in hydras.Epsilon0.T1]
nf_tail_lt [lemma, in hydras.Epsilon0.T1]
nf_cons_LT [lemma, in hydras.Epsilon0.T1]
nf_rect [definition, in hydras.Epsilon0.T1]
nf_omega_tower [lemma, in hydras.Epsilon0.T1]
nf_coeff_irrelevance [lemma, in hydras.Epsilon0.T1]
nf_intro' [lemma, in hydras.Epsilon0.T1]
nf_intro [lemma, in hydras.Epsilon0.T1]
nf_tail_lt_nf [lemma, in hydras.Epsilon0.T1]
nf_of_finite [lemma, in hydras.Epsilon0.T1]
nf_fin [lemma, in hydras.Epsilon0.T1]
nf_FS [lemma, in hydras.Epsilon0.T1]
nf_b_cons_eq [lemma, in hydras.Epsilon0.T1]
nf_cons_iff [lemma, in hydras.Epsilon0.T1]
nf_cons_inv [lemma, in hydras.Epsilon0.T1]
nf_inv3 [lemma, in hydras.Epsilon0.T1]
nf_inv2 [lemma, in hydras.Epsilon0.T1]
nf_inv1 [lemma, in hydras.Epsilon0.T1]
nf_b [definition, in hydras.Epsilon0.T1]
nf_epsilon [lemma, in hydras.Gamma0.T2]
nf_epsilon0 [lemma, in hydras.Gamma0.T2]
nf_omega [lemma, in hydras.Gamma0.T2]
nf_fin [lemma, in hydras.Gamma0.T2]
nf_bounded [lemma, in hydras.Schutte.CNF]
NF_Acc [lemma, in hydras.solutions_exercises.MultisetWf]
NF_inv2 [lemma, in hydras.solutions_exercises.MultisetWf]
NF_inv1 [lemma, in hydras.solutions_exercises.MultisetWf]
nf_ref [lemma, in gaia_hydras.T1Bridge]
nf_canon [lemma, in hydras.Epsilon0.Canon]
nf_proof_unicity [lemma, in hydras.Epsilon0.E0]
nf_m [lemma, in hydras.Hydra.Epsilon0_Needed_Generic]
nf_intro [lemma, in hydras.Gamma0.Gamma0]
nf_coeff_irrelevance [lemma, in hydras.Gamma0.Gamma0]
nf_Wf [lemma, in hydras.Gamma0.Gamma0]
nf_c2 [lemma, in hydras.Gamma0.Gamma0]
nf_c1 [lemma, in hydras.Gamma0.Gamma0]
nf_b2 [lemma, in hydras.Gamma0.Gamma0]
nf_b1 [lemma, in hydras.Gamma0.Gamma0]
nf_a2 [lemma, in hydras.Gamma0.Gamma0]
nf_a1 [lemma, in hydras.Gamma0.Gamma0]
nf_subterm [lemma, in hydras.Gamma0.Gamma0]
nf_fin_inv [lemma, in hydras.Gamma0.Gamma0]
nf_inv_tail [lemma, in hydras.Gamma0.Gamma0]
nf_c [lemma, in hydras.Gamma0.Gamma0]
nf_b [lemma, in hydras.Gamma0.Gamma0]
nf_a [lemma, in hydras.Gamma0.Gamma0]
nh [projection, in hydras.Hydra.BigBattle]
nilTerms [lemma, in hydras.Ackermann.fol]
nImp [lemma, in hydras.Ackermann.LNN]
nImp [lemma, in hydras.Ackermann.LNT]
nImp [lemma, in hydras.Ackermann.folLogic]
Nmodulo [section, in additions.Monoid_instances]
Nmodulo.m [variable, in additions.Monoid_instances]
Nmodulo.m_gt_1 [variable, in additions.Monoid_instances]
Nmod_Monoid [instance, in additions.Monoid_instances]
NMult [instance, in additions.Monoid_instances]
NN [definition, in hydras.Ackermann.NN]
NN [section, in hydras.Ackermann.NN]
NN [library]
nnE [lemma, in hydras.Ackermann.LNN]
nnE [lemma, in hydras.Ackermann.LNT]
nnE [lemma, in hydras.Ackermann.folLogic]
nnHelp [definition, in hydras.Ackermann.model]
nnI [lemma, in hydras.Ackermann.LNN]
nnI [lemma, in hydras.Ackermann.LNT]
nnI [lemma, in hydras.Ackermann.folLogic]
NNnotations [module, in hydras.Ackermann.LNN]
NNnotations.LT [definition, in hydras.Ackermann.LNN]
NNnotations.Plus [definition, in hydras.Ackermann.LNN]
NNnotations.Succ [definition, in hydras.Ackermann.LNN]
NNnotations.S_ [abbreviation, in hydras.Ackermann.LNN]
NNnotations.Times [definition, in hydras.Ackermann.LNN]
NNnotations.Zero [definition, in hydras.Ackermann.LNN]
fol:_ * _ [notation, in hydras.Ackermann.LNN]
fol:_ + _ [notation, in hydras.Ackermann.LNN]
_ < _ (fol_scope) [notation, in hydras.Ackermann.LNN]
_ * _ (fol_scope) [notation, in hydras.Ackermann.LNN]
_ + _ (fol_scope) [notation, in hydras.Ackermann.LNN]
nnPlusNotNeeded [lemma, in hydras.Ackermann.NNtheory]
NNtheory [library]
nnTranslate [definition, in hydras.Ackermann.model]
nn1 [lemma, in hydras.Ackermann.NN]
NN1 [definition, in hydras.Ackermann.NN]
nn2 [lemma, in hydras.Ackermann.NN]
NN2 [definition, in hydras.Ackermann.NN]
NN2PA [lemma, in hydras.Ackermann.NN2PA]
NN2PA [library]
nn3 [lemma, in hydras.Ackermann.NN]
NN3 [definition, in hydras.Ackermann.NN]
nn4 [lemma, in hydras.Ackermann.NN]
NN4 [definition, in hydras.Ackermann.NN]
nn5 [lemma, in hydras.Ackermann.NN]
NN5 [definition, in hydras.Ackermann.NN]
nn6 [lemma, in hydras.Ackermann.NN]
NN6 [definition, in hydras.Ackermann.NN]
nn7 [lemma, in hydras.Ackermann.NN]
NN7 [definition, in hydras.Ackermann.NN]
NN72PA [lemma, in hydras.Ackermann.PAtheory]
nn8 [lemma, in hydras.Ackermann.NN]
NN8 [definition, in hydras.Ackermann.NN]
NN82PA [lemma, in hydras.Ackermann.PAtheory]
nn9 [lemma, in hydras.Ackermann.NN]
NN9 [definition, in hydras.Ackermann.NN]
NN92PA [lemma, in hydras.Ackermann.PAtheory]
node [constructor, in hydras.Hydra.Hydra_Definitions]
noMiddle [lemma, in hydras.Ackermann.LNN]
noMiddle [lemma, in hydras.Ackermann.LNT]
noMiddle [lemma, in hydras.Ackermann.folLogic]
none_nb_occ_O [lemma, in hydras.rpo.more_list]
non_commutativity_of_plus [definition, in hydras.OrdinalNotations.ON_Omega2]
Non_denum [lemma, in hydras.Schutte.Schutte_basics]
non_optimality_proof.binary_opt [variable, in additions.Addition_Chains]
non_optimality_proof [section, in additions.Addition_Chains]
nOr [lemma, in hydras.Ackermann.LNN]
nOr [lemma, in hydras.Ackermann.LNT]
nOr [lemma, in hydras.Ackermann.folLogic]
normal [definition, in hydras.Schutte.Ordering_Functions]
normal_phi0 [lemma, in hydras.Schutte.AP]
normal_plus_alpha [lemma, in hydras.Schutte.Addition]
notBoundedForall [lemma, in Goedel.PRrepresentable]
notCon2wNotCon [lemma, in hydras.Ackermann.wConsistent]
notH [constructor, in hydras.Ackermann.fol]
NotIncl [section, in hydras.OrdinalNotations.ON_Omega_plus_omega]
notInFreeVarSys [lemma, in hydras.Ackermann.folProp]
notRel [definition, in hydras.Ackermann.primRec]
notRelPR [lemma, in hydras.Ackermann.primRec]
notZero [definition, in hydras.Ackermann.primRec]
notZeroIsPR [instance, in hydras.Ackermann.primRec]
not_LT_zero [lemma, in hydras.Epsilon0.T1]
not_zero_lt [lemma, in hydras.Epsilon0.T1]
not_zero_gt_0 [lemma, in hydras.Epsilon0.T1]
not_lt_zero [lemma, in hydras.Epsilon0.T1]
not_double_is_s_double [lemma, in hydras.Prelude.More_Arith]
not_le_gt [lemma, in hydras.Prelude.DecPreOrder]
not_le_ge [lemma, in hydras.Prelude.DecPreOrder]
not_AP_inv2 [lemma, in hydras.Schutte.CNF]
not_AP_inv_0 [lemma, in hydras.Schutte.CNF]
not_acc [lemma, in hydras.solutions_exercises.MultisetWf]
not_countable_unbounded [lemma, in hydras.Schutte.Schutte_basics]
Not_Unbounded_countable [lemma, in hydras.Schutte.Schutte_basics]
Not_Unbounded_bounded [lemma, in hydras.Schutte.Schutte_basics]
not_is_succ_limit [lemma, in hydras.Schutte.Schutte_basics]
not_is_limit_succ [lemma, in hydras.Schutte.Schutte_basics]
not_is_limit_zero [lemma, in hydras.Schutte.Schutte_basics]
not_is_succ_zero [lemma, in hydras.Schutte.Schutte_basics]
not_lt_zero [lemma, in hydras.Schutte.Schutte_basics]
not_gt_le [lemma, in hydras.Schutte.Schutte_basics]
not_lt_zero [lemma, in hydras.Gamma0.Gamma0]
not_decreasing [lemma, in gaia_hydras.nfwfgaia]
not_decreasing [lemma, in hydras.solutions_exercises.T1_ltNotWf]
not_decreasing_aux [lemma, in hydras.solutions_exercises.T1_ltNotWf]
not_acc [lemma, in hydras.solutions_exercises.T1_ltNotWf]
NPlus [instance, in additions.Monoid_instances]
Npos_power_compat [lemma, in additions.Compatibility]
Npos_gt_0 [lemma, in additions.More_on_positive]
Npos_diff_zero [lemma, in additions.More_on_positive]
nth_error_ok_in [lemma, in hydras.rpo.more_list]
nth_error_map [lemma, in hydras.rpo.more_list]
nVars [definition, in hydras.Ackermann.folProof]
nv:118 [binder, in hydras.Ackermann.folProp]
nv:13 [binder, in hydras.MoreAck.BadSubst]
nv:2 [binder, in hydras.Ackermann.PAtheory]
nv:283 [binder, in hydras.Ackermann.folProp]
nv:30 [binder, in Goedel.codeSysPrf]
nv:404 [binder, in hydras.Ackermann.folProp]
nv:432 [binder, in hydras.Ackermann.folProp]
nv:437 [binder, in hydras.Ackermann.folProp]
nv:48 [binder, in hydras.Ackermann.subAll]
nv:65 [binder, in hydras.Ackermann.codeSubFormula]
N_size_gt [lemma, in additions.Compatibility]
N_pow_compat [lemma, in additions.Compatibility]
N_pow_power [lemma, in additions.Compatibility]
N_pow [definition, in additions.Compatibility]
N_bpow [definition, in additions.FirstSteps]
N_bpow_commute [lemma, in additions.Pow_variant]
N_bpow_ok_R [lemma, in additions.Pow_variant]
N_bpow_ok [lemma, in additions.Pow_variant]
N_bpow [definition, in additions.Pow_variant]
N_bpow_commute [lemma, in additions.Pow]
N_bpow_ok_R [lemma, in additions.Pow]
N_bpow_ok [lemma, in additions.Pow]
N_bpow [definition, in additions.Pow]
N_le_mul_pos [lemma, in additions.More_on_positive]
N_pos_div_eucl_q0 [lemma, in additions.More_on_positive]
N_pos_div_eucl_rest [lemma, in additions.More_on_positive]
N_pos_div_eucl_divides [lemma, in additions.More_on_positive]
N_pos_N2pos [lemma, in additions.More_on_positive]
N_le_1_pos [lemma, in additions.More_on_positive]
N_0_le_n [lemma, in additions.More_on_positive]
N_mod.power [definition, in additions.Naive]
N_mod.mult_mod [definition, in additions.Naive]
N_mod.m_fixed.m [variable, in additions.Naive]
N_mod.m_fixed [section, in additions.Naive]
N_mod [module, in additions.Naive]
N_plus_op [instance, in additions.Monoid_instances]
N_mult_op [instance, in additions.Monoid_instances]
N_simpl [lemma, in hydras.Epsilon0.Hprime]
n'':11 [binder, in gaia_hydras.nfwfgaia]
n'':8 [binder, in gaia_hydras.nfwfgaia]
n':10 [binder, in gaia_hydras.nfwfgaia]
n':1024 [binder, in gaia_hydras.nfwfgaia]
n':1152 [binder, in gaia_hydras.nfwfgaia]
n':117 [binder, in hydras.Epsilon0.T1]
n':1204 [binder, in gaia_hydras.nfwfgaia]
n':131 [binder, in gaia_hydras.nfwfgaia]
n':1338 [binder, in gaia_hydras.nfwfgaia]
n':1384 [binder, in gaia_hydras.nfwfgaia]
n':139 [binder, in hydras.Gamma0.Gamma0]
n':14 [binder, in hydras.rpo.dickson]
n':1436 [binder, in gaia_hydras.nfwfgaia]
n':1500 [binder, in gaia_hydras.nfwfgaia]
n':1556 [binder, in gaia_hydras.nfwfgaia]
n':1585 [binder, in gaia_hydras.nfwfgaia]
n':1609 [binder, in gaia_hydras.nfwfgaia]
n':165 [binder, in hydras.Epsilon0.T1]
n':1691 [binder, in gaia_hydras.nfwfgaia]
n':174 [binder, in gaia_hydras.nfwfgaia]
n':176 [binder, in hydras.Epsilon0.T1]
n':19 [binder, in hydras.Epsilon0.Hessenberg]
n':194 [binder, in hydras.Epsilon0.T1]
n':2043 [binder, in gaia_hydras.nfwfgaia]
n':2066 [binder, in gaia_hydras.nfwfgaia]
n':223 [binder, in hydras.Epsilon0.T1]
n':225 [binder, in gaia_hydras.nfwfgaia]
n':231 [binder, in gaia_hydras.nfwfgaia]
n':24 [binder, in hydras.Schutte.Correctness_E0]
n':25 [binder, in hydras.Epsilon0.Hessenberg]
n':258 [binder, in gaia_hydras.nfwfgaia]
n':259 [binder, in hydras.rpo.rpo]
n':27 [binder, in hydras.Gamma0.Gamma0]
n':285 [binder, in hydras.Epsilon0.T1]
n':29 [binder, in hydras.Schutte.Correctness_E0]
n':294 [binder, in gaia_hydras.nfwfgaia]
n':3 [binder, in gaia_hydras.nfwfgaia]
n':30 [binder, in hydras.Epsilon0.Hessenberg]
n':301 [binder, in hydras.Gamma0.Gamma0]
n':305 [binder, in hydras.Gamma0.Gamma0]
n':324 [binder, in hydras.Epsilon0.T1]
n':329 [binder, in hydras.Epsilon0.T1]
n':34 [binder, in hydras.Epsilon0.T1]
n':347 [binder, in hydras.Epsilon0.T1]
n':359 [binder, in hydras.Epsilon0.T1]
n':36 [binder, in hydras.Epsilon0.Hessenberg]
n':366 [binder, in hydras.Epsilon0.T1]
n':380 [binder, in hydras.Epsilon0.T1]
n':42 [binder, in hydras.Epsilon0.Hessenberg]
n':425 [binder, in gaia_hydras.nfwfgaia]
n':429 [binder, in hydras.Epsilon0.T1]
n':430 [binder, in gaia_hydras.nfwfgaia]
n':434 [binder, in hydras.Epsilon0.T1]
n':440 [binder, in hydras.Epsilon0.T1]
n':5 [binder, in gaia_hydras.nfwfgaia]
n':50 [binder, in hydras.Epsilon0.Epsilon0rpo]
n':50 [binder, in hydras.OrdinalNotations.OmegaOmega]
n':52 [binder, in hydras.Epsilon0.Hessenberg]
n':535 [binder, in hydras.Epsilon0.T1]
n':54 [binder, in gaia_hydras.T1Bridge]
n':55 [binder, in hydras.Epsilon0.T1]
n':55 [binder, in hydras.Epsilon0.Epsilon0rpo]
n':58 [binder, in hydras.OrdinalNotations.OmegaOmega]
n':59 [binder, in hydras.Epsilon0.Epsilon0rpo]
n':59 [binder, in gaia_hydras.T1Bridge]
n':590 [binder, in hydras.Gamma0.Gamma0]
n':64 [binder, in gaia_hydras.T1Bridge]
n':68 [binder, in hydras.Epsilon0.T1]
n':7 [binder, in gaia_hydras.nfwfgaia]
n':70 [binder, in gaia_hydras.T1Bridge]
n':726 [binder, in hydras.Epsilon0.T1]
n':75 [binder, in hydras.Epsilon0.T1]
n':76 [binder, in gaia_hydras.T1Bridge]
n':79 [binder, in hydras.Epsilon0.T1]
n':790 [binder, in gaia_hydras.nfwfgaia]
n':83 [binder, in hydras.Gamma0.T2]
n':84 [binder, in hydras.Epsilon0.T1]
n':848 [binder, in gaia_hydras.nfwfgaia]
n':871 [binder, in gaia_hydras.nfwfgaia]
n':908 [binder, in gaia_hydras.nfwfgaia]
n':916 [binder, in gaia_hydras.nfwfgaia]
n':94 [binder, in hydras.Epsilon0.T1]
n':948 [binder, in gaia_hydras.nfwfgaia]
n':99 [binder, in hydras.Epsilon0.T1]
n0:18 [binder, in hydras.Ackermann.wellFormed]
n0:194 [binder, in hydras.Ackermann.fol]
n0:195 [binder, in hydras.Ackermann.fol]
n0:196 [binder, in hydras.Ackermann.fol]
n0:197 [binder, in hydras.Ackermann.fol]
n0:20 [binder, in hydras.Ackermann.wellFormed]
n0:231 [binder, in hydras.Ackermann.subAll]
n0:232 [binder, in hydras.Ackermann.subAll]
n0:241 [binder, in hydras.Ackermann.subAll]
n0:243 [binder, in hydras.Ackermann.subAll]
n0:31 [binder, in hydras.Schutte.AP]
n0:32 [binder, in hydras.Schutte.AP]
n0:379 [binder, in hydras.Epsilon0.Paths]
n0:653 [binder, in hydras.Ackermann.primRec]
n1 [projection, in hydras.Hydra.BigBattle]
n1:105 [binder, in Goedel.rosserPA]
n1:107 [binder, in hydras.Epsilon0.T1]
n1:107 [binder, in Goedel.rosserPA]
n1:122 [binder, in additions.Euclidean_Chains]
n1:131 [binder, in additions.Euclidean_Chains]
n1:14 [binder, in gaia_hydras.nfwfgaia]
n1:15 [binder, in hydras.Prelude.Compat815]
n1:18 [binder, in gaia_hydras.nfwfgaia]
n1:198 [binder, in hydras.Ackermann.fol]
n1:199 [binder, in hydras.Ackermann.fol]
n1:22 [binder, in gaia_hydras.nfwfgaia]
n1:223 [binder, in Goedel.PRrepresentable]
n1:230 [binder, in Goedel.PRrepresentable]
n1:318 [binder, in hydras.Gamma0.Gamma0]
n1:32 [binder, in hydras.Gamma0.T2]
n1:324 [binder, in hydras.Gamma0.Gamma0]
n1:340 [binder, in hydras.Gamma0.Gamma0]
n1:345 [binder, in hydras.Gamma0.Gamma0]
n1:362 [binder, in hydras.Gamma0.Gamma0]
n1:368 [binder, in hydras.Gamma0.Gamma0]
n1:38 [binder, in Goedel.rosser]
n1:380 [binder, in hydras.Epsilon0.Paths]
n1:384 [binder, in hydras.Gamma0.Gamma0]
n1:389 [binder, in hydras.Gamma0.Gamma0]
n1:39 [binder, in hydras.Gamma0.T2]
n1:39 [binder, in hydras.Gamma0.Gamma0]
n1:400 [binder, in hydras.Gamma0.Gamma0]
n1:410 [binder, in hydras.Gamma0.Gamma0]
n1:43 [binder, in Goedel.rosser]
n1:45 [binder, in Goedel.rosser]
n1:47 [binder, in hydras.Gamma0.T2]
n1:47 [binder, in hydras.Gamma0.Gamma0]
n1:50 [binder, in Goedel.rosser]
n1:54 [binder, in hydras.Gamma0.T2]
n1:55 [binder, in hydras.Gamma0.Gamma0]
n1:60 [binder, in hydras.Gamma0.T2]
n1:63 [binder, in hydras.Gamma0.Gamma0]
n1:66 [binder, in hydras.Gamma0.T2]
n1:661 [binder, in gaia_hydras.nfwfgaia]
n1:665 [binder, in gaia_hydras.nfwfgaia]
n1:68 [binder, in Goedel.rosserPA]
n1:71 [binder, in hydras.Gamma0.Gamma0]
n1:73 [binder, in Goedel.rosserPA]
n1:75 [binder, in Goedel.rosserPA]
n1:78 [binder, in hydras.Gamma0.Gamma0]
n1:80 [binder, in Goedel.rosserPA]
n1:82 [binder, in additions.Euclidean_Chains]
n1:84 [binder, in hydras.Gamma0.Gamma0]
n1:94 [binder, in Goedel.rosserPA]
n1:99 [binder, in Goedel.rosserPA]
n2 [projection, in hydras.Hydra.BigBattle]
N2pos [definition, in additions.More_on_positive]
N2pos_lt_switch2 [lemma, in additions.More_on_positive]
N2pos_lt_switch [lemma, in additions.More_on_positive]
N2pos_pos [lemma, in additions.More_on_positive]
n2t [abbreviation, in hydras.Ackermann.LNN]
n2:123 [binder, in additions.Euclidean_Chains]
n2:132 [binder, in additions.Euclidean_Chains]
n2:15 [binder, in gaia_hydras.nfwfgaia]
n2:19 [binder, in gaia_hydras.nfwfgaia]
n2:23 [binder, in gaia_hydras.nfwfgaia]
n2:325 [binder, in hydras.Gamma0.Gamma0]
n2:33 [binder, in hydras.Gamma0.T2]
n2:332 [binder, in hydras.Gamma0.Gamma0]
n2:346 [binder, in hydras.Gamma0.Gamma0]
n2:352 [binder, in hydras.Gamma0.Gamma0]
n2:369 [binder, in hydras.Gamma0.Gamma0]
n2:376 [binder, in hydras.Gamma0.Gamma0]
n2:381 [binder, in hydras.Epsilon0.Paths]
n2:390 [binder, in hydras.Gamma0.Gamma0]
n2:396 [binder, in hydras.Gamma0.Gamma0]
n2:40 [binder, in hydras.Gamma0.T2]
n2:40 [binder, in hydras.Gamma0.Gamma0]
n2:401 [binder, in hydras.Gamma0.Gamma0]
n2:406 [binder, in hydras.Gamma0.Gamma0]
n2:48 [binder, in hydras.Gamma0.T2]
n2:48 [binder, in hydras.Gamma0.Gamma0]
n2:55 [binder, in hydras.Gamma0.T2]
n2:56 [binder, in hydras.Gamma0.Gamma0]
n2:61 [binder, in hydras.Gamma0.T2]
n2:64 [binder, in hydras.Gamma0.Gamma0]
n2:662 [binder, in gaia_hydras.nfwfgaia]
n2:666 [binder, in gaia_hydras.nfwfgaia]
n2:72 [binder, in hydras.Gamma0.Gamma0]
n2:79 [binder, in hydras.Gamma0.Gamma0]
n2:83 [binder, in additions.Euclidean_Chains]
n2:871 [binder, in hydras.Ackermann.checkPrf]
n2:874 [binder, in hydras.Ackermann.checkPrf]
n3:17 [binder, in hydras.Prelude.Compat815]
n3:48 [binder, in Goedel.rosser]
n3:53 [binder, in Goedel.rosser]
n3:78 [binder, in Goedel.rosserPA]
n3:83 [binder, in Goedel.rosserPA]
n:1 [binder, in hydras.solutions_exercises.MinPR2]
n:1 [binder, in additions.Fib2]
n:1 [binder, in hydras.Prelude.More_Arith]
n:1 [binder, in hydras.Ackermann.extEqualNat]
n:1 [binder, in hydras.MoreAck.expressibleExamples]
n:1 [binder, in hydras.Prelude.Compat815]
n:1 [binder, in hydras.Prelude.Fuel]
n:1 [binder, in hydras.Epsilon0.F_omega]
n:1 [binder, in hydras.OrdinalNotations.OmegaOmega]
n:1 [binder, in hydras.solutions_exercises.MorePRExamples]
n:1 [binder, in hydras.solutions_exercises.FibonacciPR]
n:1 [binder, in hydras.Ackermann.cPair]
n:1 [binder, in gaia_hydras.ON_gfinite]
n:1 [binder, in additions.Monoid_instances]
n:1 [binder, in hydras.OrdinalNotations.ON_Finite]
n:1 [binder, in additions.fib]
n:1 [binder, in hydras.Ackermann.codeList]
n:1 [binder, in hydras.Prelude.LibHyps_Experiments]
n:1 [binder, in hydras.solutions_exercises.F_3]
n:1 [binder, in hydras.Ackermann.codeNatToTerm]
n:1 [binder, in hydras.Prelude.Exp2]
n:1 [binder, in additions.Demo]
n:1 [binder, in hydras.MoreAck.PrimRecExamples]
n:10 [binder, in hydras.Prelude.More_Arith]
n:10 [binder, in hydras.Ackermann.codeFreeVar]
n:10 [binder, in hydras.MoreAck.expressibleExamples]
n:10 [binder, in hydras.Ackermann.checkPrf]
n:10 [binder, in hydras.solutions_exercises.MultisetWf]
n:10 [binder, in hydras.Prelude.Fuel]
n:10 [binder, in hydras.Epsilon0.F_omega]
n:10 [binder, in hydras.MoreAck.Ack]
n:10 [binder, in hydras.solutions_exercises.FibonacciPR]
n:10 [binder, in gaia_hydras.ON_gfinite]
n:10 [binder, in hydras.OrdinalNotations.ON_Finite]
n:10 [binder, in gaia_hydras.onType]
n:10 [binder, in hydras.Ackermann.codeList]
n:10 [binder, in Goedel.codeSysPrf]
n:10 [binder, in hydras.solutions_exercises.isqrt]
n:100 [binder, in Goedel.PRrepresentable]
n:100 [binder, in hydras.Ackermann.subAll]
n:100 [binder, in hydras.Prelude.Iterates]
n:100 [binder, in hydras.Prelude.MoreLists]
n:100 [binder, in hydras.Ackermann.primRec]
n:100 [binder, in hydras.Ackermann.fol]
n:100 [binder, in hydras.Ackermann.codeList]
n:100 [binder, in hydras.MoreAck.PrimRecExamples]
n:101 [binder, in hydras.Gamma0.T2]
n:101 [binder, in hydras.Ackermann.subAll]
n:101 [binder, in hydras.Ackermann.folProp]
n:101 [binder, in Goedel.rosserPA]
n:101 [binder, in hydras.Ackermann.fol]
n:101 [binder, in hydras.Epsilon0.Canon]
n:101 [binder, in hydras.Ackermann.codeList]
n:101 [binder, in hydras.MoreAck.PrimRecExamples]
n:1010 [binder, in gaia_hydras.nfwfgaia]
n:102 [binder, in hydras.Ackermann.fol]
n:102 [binder, in hydras.Ackermann.codeList]
n:1021 [binder, in gaia_hydras.nfwfgaia]
n:1028 [binder, in gaia_hydras.nfwfgaia]
n:103 [binder, in hydras.Epsilon0.T1]
n:103 [binder, in hydras.Ackermann.subAll]
n:103 [binder, in Goedel.rosserPA]
n:103 [binder, in hydras.Ackermann.codeList]
n:103 [binder, in hydras.Epsilon0.Hprime]
n:103 [binder, in hydras.Prelude.MoreVectors]
n:1031 [binder, in gaia_hydras.nfwfgaia]
n:1033 [binder, in gaia_hydras.nfwfgaia]
n:1036 [binder, in gaia_hydras.nfwfgaia]
n:104 [binder, in hydras.Ackermann.subAll]
n:104 [binder, in hydras.Ackermann.LNN2LNT]
n:104 [binder, in hydras.Ackermann.codeList]
n:105 [binder, in hydras.Ackermann.subProp]
n:105 [binder, in hydras.Ackermann.primRec]
n:105 [binder, in hydras.Ackermann.fol]
n:105 [binder, in hydras.Epsilon0.Canon]
n:105 [binder, in hydras.Hydra.Hydra_Definitions]
n:1051 [binder, in gaia_hydras.nfwfgaia]
n:106 [binder, in hydras.Epsilon0.T1]
n:106 [binder, in Goedel.PRrepresentable]
n:106 [binder, in hydras.Ackermann.subAll]
n:106 [binder, in hydras.Prelude.Iterates]
n:106 [binder, in hydras.Ackermann.LNN2LNT]
n:106 [binder, in additions.Pow]
n:106 [binder, in hydras.Ackermann.fol]
n:106 [binder, in hydras.Prelude.MoreVectors]
n:107 [binder, in hydras.Ackermann.subAll]
n:107 [binder, in hydras.MoreAck.AckNotPR]
n:107 [binder, in hydras.Ackermann.subProp]
n:107 [binder, in additions.fib]
n:107 [binder, in hydras.Ackermann.codeList]
n:107 [binder, in hydras.MoreAck.PrimRecExamples]
n:107 [binder, in hydras.Hydra.Hydra_Definitions]
n:1073 [binder, in gaia_hydras.nfwfgaia]
n:109 [binder, in hydras.Ackermann.LNN2LNT]
n:109 [binder, in hydras.Ackermann.folProp]
n:11 [binder, in hydras.Ackermann.folProof]
n:11 [binder, in gaia_hydras.GF_alpha]
n:11 [binder, in hydras.Prelude.Compat815]
n:11 [binder, in hydras.Ackermann.LNN2LNT]
n:11 [binder, in gaia_hydras.GCanon]
n:11 [binder, in hydras.Ackermann.subProp]
n:11 [binder, in hydras.Ackermann.codeSubFormula]
n:11 [binder, in hydras.Hydra.Hydra_Theorems]
n:11 [binder, in hydras.Ackermann.primRec]
n:11 [binder, in gaia_hydras.ON_gfinite]
n:11 [binder, in hydras.Gamma0.Gamma0]
n:110 [binder, in hydras.Prelude.Iterates]
n:110 [binder, in hydras.Epsilon0.Hprime]
n:111 [binder, in hydras.Ackermann.LNN2LNT]
n:111 [binder, in hydras.Ackermann.primRec]
n:112 [binder, in Goedel.PRrepresentable]
n:112 [binder, in hydras.Gamma0.T2]
n:112 [binder, in hydras.Ackermann.subAll]
n:112 [binder, in hydras.Epsilon0.F_alpha]
n:112 [binder, in hydras.Ackermann.codeList]
n:112 [binder, in hydras.Epsilon0.Hprime]
n:113 [binder, in gaia_hydras.T1Bridge]
n:1133 [binder, in gaia_hydras.nfwfgaia]
n:114 [binder, in hydras.Epsilon0.T1]
n:114 [binder, in hydras.Ackermann.subProp]
n:114 [binder, in additions.fib]
n:114 [binder, in hydras.Epsilon0.Hprime]
n:1140 [binder, in gaia_hydras.nfwfgaia]
n:1142 [binder, in gaia_hydras.nfwfgaia]
n:1146 [binder, in gaia_hydras.nfwfgaia]
n:115 [binder, in hydras.Epsilon0.F_alpha]
n:115 [binder, in hydras.Ackermann.codeList]
n:115 [binder, in hydras.Hydra.Hydra_Definitions]
n:1157 [binder, in gaia_hydras.nfwfgaia]
n:116 [binder, in hydras.Prelude.Iterates]
n:116 [binder, in hydras.Ackermann.subProp]
n:116 [binder, in hydras.Ackermann.primRec]
n:116 [binder, in hydras.Epsilon0.Hprime]
n:117 [binder, in hydras.Gamma0.Gamma0]
n:1178 [binder, in gaia_hydras.nfwfgaia]
n:118 [binder, in Goedel.PRrepresentable]
n:118 [binder, in hydras.Ackermann.subAll]
n:118 [binder, in hydras.Ackermann.subProp]
n:1181 [binder, in gaia_hydras.nfwfgaia]
n:1184 [binder, in gaia_hydras.nfwfgaia]
n:1187 [binder, in gaia_hydras.nfwfgaia]
n:119 [binder, in hydras.Ackermann.subAll]
n:119 [binder, in hydras.Ackermann.folProp]
n:119 [binder, in hydras.Epsilon0.Hprime]
n:1190 [binder, in gaia_hydras.nfwfgaia]
n:12 [binder, in hydras.Schutte.Correctness_E0]
n:12 [binder, in Goedel.PRrepresentable]
n:12 [binder, in hydras.Prelude.More_Arith]
n:12 [binder, in hydras.Prelude.Iterates]
n:12 [binder, in hydras.Ackermann.codeFreeVar]
n:12 [binder, in hydras.Prelude.Compat815]
n:12 [binder, in Goedel.fixPoint]
n:12 [binder, in hydras.Epsilon0.F_omega]
n:12 [binder, in hydras.Hydra.Hydra_Theorems]
n:12 [binder, in gaia_hydras.ON_gfinite]
n:12 [binder, in hydras.Ackermann.fol]
n:12 [binder, in gaia_hydras.onType]
n:12 [binder, in hydras.Ackermann.codeList]
n:12 [binder, in hydras.Ackermann.expressible]
n:12 [binder, in hydras.Prelude.MoreVectors]
n:120 [binder, in hydras.Ackermann.subAll]
n:120 [binder, in hydras.Epsilon0.F_alpha]
N:120 [binder, in hydras.Epsilon0.Large_Sets]
n:120 [binder, in hydras.Ackermann.codeList]
n:121 [binder, in Goedel.PRrepresentable]
n:121 [binder, in hydras.Ackermann.folProp]
n:121 [binder, in gaia_hydras.T1Bridge]
n:121 [binder, in hydras.Ackermann.primRec]
n:121 [binder, in hydras.Epsilon0.Hprime]
n:1215 [binder, in hydras.Ackermann.codeSubFormula]
n:1219 [binder, in hydras.Ackermann.codeSubFormula]
n:122 [binder, in hydras.Prelude.Iterates]
n:122 [binder, in hydras.Ackermann.subProp]
n:1226 [binder, in hydras.Ackermann.codeSubFormula]
n:1229 [binder, in hydras.Ackermann.codeSubFormula]
n:123 [binder, in hydras.Ackermann.subAll]
N:123 [binder, in hydras.Epsilon0.Large_Sets]
n:123 [binder, in hydras.Ackermann.codeList]
n:124 [binder, in hydras.Ackermann.subAll]
n:124 [binder, in hydras.Epsilon0.Hessenberg]
n:1245 [binder, in hydras.Ackermann.codeSubFormula]
n:1247 [binder, in gaia_hydras.nfwfgaia]
n:1248 [binder, in hydras.Ackermann.codeSubFormula]
n:125 [binder, in hydras.Gamma0.T2]
n:125 [binder, in hydras.Ackermann.subAll]
n:125 [binder, in hydras.Prelude.Iterates]
n:1252 [binder, in hydras.Ackermann.codeSubFormula]
n:1254 [binder, in hydras.Ackermann.codeSubFormula]
n:126 [binder, in hydras.Ackermann.subAll]
n:126 [binder, in hydras.Ackermann.primRec]
n:126 [binder, in hydras.Ackermann.cPair]
n:126 [binder, in hydras.Ackermann.codeList]
n:126 [binder, in hydras.Epsilon0.Hprime]
n:1260 [binder, in hydras.Ackermann.codeSubFormula]
n:1262 [binder, in hydras.Ackermann.codeSubFormula]
n:1264 [binder, in hydras.Ackermann.codeSubFormula]
n:127 [binder, in hydras.Ackermann.subAll]
n:127 [binder, in hydras.Epsilon0.Hessenberg]
n:127 [binder, in hydras.Ackermann.subProp]
n:1277 [binder, in gaia_hydras.nfwfgaia]
n:128 [binder, in Goedel.PRrepresentable]
n:128 [binder, in hydras.Ackermann.subAll]
n:128 [binder, in additions.AM]
n:128 [binder, in gaia_hydras.nfwfgaia]
n:129 [binder, in hydras.Gamma0.T2]
n:129 [binder, in hydras.Prelude.Iterates]
n:129 [binder, in hydras.Ackermann.primRec]
n:129 [binder, in hydras.Ackermann.codeList]
n:13 [binder, in hydras.Prelude.More_Arith]
n:13 [binder, in hydras.Ackermann.LNN2LNT]
n:13 [binder, in hydras.Ackermann.codeSubFormula]
n:13 [binder, in hydras.Schutte.AP]
n:13 [binder, in hydras.Hydra.Hydra_Theorems]
n:13 [binder, in hydras.solutions_exercises.FibonacciPR]
n:13 [binder, in gaia_hydras.ON_gfinite]
n:13 [binder, in hydras.OrdinalNotations.ON_Finite]
n:13 [binder, in hydras.Epsilon0.E0]
n:13 [binder, in hydras.Ackermann.wConsistent]
n:13 [binder, in hydras.rpo.dickson]
n:130 [binder, in hydras.Epsilon0.Hessenberg]
n:130 [binder, in hydras.Ackermann.cPair]
n:130 [binder, in hydras.Epsilon0.Hprime]
n:1302 [binder, in hydras.Ackermann.codeSubFormula]
n:1305 [binder, in hydras.Ackermann.codeSubFormula]
n:131 [binder, in additions.AM]
n:1317 [binder, in gaia_hydras.nfwfgaia]
n:132 [binder, in additions.AM]
n:132 [binder, in hydras.rpo.more_list]
n:132 [binder, in hydras.Ackermann.codeList]
n:133 [binder, in hydras.Gamma0.T2]
n:133 [binder, in additions.AM]
n:133 [binder, in hydras.Ackermann.primRec]
n:1333 [binder, in gaia_hydras.nfwfgaia]
n:134 [binder, in hydras.Ackermann.codeSubFormula]
n:134 [binder, in hydras.Ackermann.primRec]
n:134 [binder, in hydras.Ackermann.cPair]
n:134 [binder, in gaia_hydras.nfwfgaia]
n:1348 [binder, in gaia_hydras.nfwfgaia]
n:135 [binder, in additions.Euclidean_Chains]
n:135 [binder, in hydras.Ackermann.codeList]
n:135 [binder, in hydras.Gamma0.Gamma0]
n:1353 [binder, in gaia_hydras.nfwfgaia]
n:1358 [binder, in gaia_hydras.nfwfgaia]
n:136 [binder, in additions.Euclidean_Chains]
n:136 [binder, in hydras.Hydra.Hydra_Lemmas]
n:1363 [binder, in gaia_hydras.nfwfgaia]
n:1368 [binder, in gaia_hydras.nfwfgaia]
n:137 [binder, in hydras.Epsilon0.Hprime]
n:1373 [binder, in gaia_hydras.nfwfgaia]
n:1379 [binder, in gaia_hydras.nfwfgaia]
n:138 [binder, in hydras.Gamma0.T2]
n:138 [binder, in hydras.Ackermann.codeList]
n:1382 [binder, in hydras.Ackermann.codeSubFormula]
n:1385 [binder, in hydras.Ackermann.codeSubFormula]
n:139 [binder, in Goedel.PRrepresentable]
n:139 [binder, in hydras.Epsilon0.Hprime]
n:1390 [binder, in hydras.Ackermann.codeSubFormula]
n:1394 [binder, in hydras.Ackermann.codeSubFormula]
n:14 [binder, in hydras.Ackermann.folProof]
n:14 [binder, in hydras.Gamma0.T2]
n:14 [binder, in additions.Fib2]
n:14 [binder, in hydras.Prelude.MoreLists]
n:14 [binder, in hydras.MoreAck.AckNotPR]
n:14 [binder, in hydras.Hydra.Hydra_Theorems]
n:14 [binder, in hydras.solutions_exercises.MorePRExamples]
n:14 [binder, in hydras.Ackermann.primRec]
n:14 [binder, in additions.Naive]
n:14 [binder, in additions.fib]
n:14 [binder, in hydras.Ackermann.codeList]
n:140 [binder, in hydras.Ackermann.codePA]
n:141 [binder, in hydras.Ackermann.codeList]
n:1413 [binder, in gaia_hydras.nfwfgaia]
n:142 [binder, in hydras.Gamma0.T2]
n:142 [binder, in hydras.Ackermann.cPair]
n:142 [binder, in hydras.Epsilon0.Hprime]
n:143 [binder, in hydras.Hydra.Hydra_Lemmas]
n:143 [binder, in hydras.Gamma0.Gamma0]
n:1431 [binder, in gaia_hydras.nfwfgaia]
n:144 [binder, in hydras.Ackermann.codeList]
n:144 [binder, in hydras.Epsilon0.Hprime]
n:145 [binder, in hydras.Ackermann.cPair]
n:145 [binder, in hydras.Hydra.Hydra_Lemmas]
n:1457 [binder, in gaia_hydras.nfwfgaia]
n:146 [binder, in hydras.Ackermann.codeList]
n:147 [binder, in hydras.Epsilon0.T1]
n:1473 [binder, in gaia_hydras.nfwfgaia]
n:1475 [binder, in gaia_hydras.nfwfgaia]
n:1479 [binder, in gaia_hydras.nfwfgaia]
n:148 [binder, in hydras.Gamma0.T2]
n:148 [binder, in hydras.Ackermann.codeList]
n:148 [binder, in hydras.Hydra.Hydra_Lemmas]
n:1483 [binder, in gaia_hydras.nfwfgaia]
n:1489 [binder, in gaia_hydras.nfwfgaia]
n:149 [binder, in hydras.Ackermann.cPair]
n:149 [binder, in hydras.Gamma0.Gamma0]
n:1491 [binder, in gaia_hydras.nfwfgaia]
n:1495 [binder, in gaia_hydras.nfwfgaia]
n:15 [binder, in additions.Fib2]
n:15 [binder, in gaia_hydras.GHprime]
n:15 [binder, in hydras.Ackermann.folLogic2]
n:15 [binder, in hydras.Ackermann.LNN2LNT]
n:15 [binder, in Goedel.fixPoint]
n:15 [binder, in hydras.Ackermann.codeSubFormula]
n:15 [binder, in hydras.Hydra.Hydra_Theorems]
n:15 [binder, in hydras.Ackermann.PA]
n:15 [binder, in hydras.solutions_exercises.MorePRExamples]
n:15 [binder, in hydras.Ackermann.primRec]
n:15 [binder, in hydras.Epsilon0.E0]
n:15 [binder, in gaia_hydras.onType]
n:150 [binder, in Goedel.PRrepresentable]
n:150 [binder, in hydras.Ackermann.codeSubFormula]
n:150 [binder, in hydras.Ackermann.codeList]
n:152 [binder, in gaia_hydras.T1Bridge]
n:152 [binder, in hydras.Ackermann.codeList]
n:152 [binder, in hydras.Ackermann.codePA]
n:153 [binder, in hydras.Epsilon0.Large_Sets]
n:153 [binder, in hydras.Ackermann.cPair]
n:153 [binder, in hydras.Hydra.Hydra_Lemmas]
n:1530 [binder, in gaia_hydras.nfwfgaia]
n:1534 [binder, in gaia_hydras.nfwfgaia]
n:154 [binder, in gaia_hydras.T1Bridge]
n:154 [binder, in hydras.Ackermann.codeList]
n:1547 [binder, in gaia_hydras.nfwfgaia]
n:155 [binder, in hydras.Ackermann.fol]
n:155 [binder, in hydras.Gamma0.Gamma0]
n:155 [binder, in hydras.Ackermann.codePA]
n:1554 [binder, in gaia_hydras.nfwfgaia]
n:156 [binder, in hydras.Ackermann.subAll]
n:156 [binder, in hydras.Prelude.Iterates]
n:156 [binder, in hydras.Epsilon0.Large_Sets]
n:156 [binder, in hydras.Ackermann.codeList]
n:157 [binder, in hydras.Ackermann.codeList]
n:1577 [binder, in gaia_hydras.nfwfgaia]
n:158 [binder, in hydras.Epsilon0.T1]
n:158 [binder, in hydras.Ackermann.subAll]
n:158 [binder, in hydras.Ackermann.LNT]
n:158 [binder, in hydras.Ackermann.codeList]
n:1581 [binder, in gaia_hydras.nfwfgaia]
n:159 [binder, in hydras.Prelude.Iterates]
n:159 [binder, in additions.fib]
n:159 [binder, in hydras.Ackermann.codeList]
n:159 [binder, in hydras.Gamma0.Gamma0]
n:1590 [binder, in gaia_hydras.nfwfgaia]
n:16 [binder, in hydras.Ackermann.folProof]
n:16 [binder, in hydras.Schutte.Correctness_E0]
n:16 [binder, in Goedel.PRrepresentable]
n:16 [binder, in hydras.Prelude.More_Arith]
n:16 [binder, in hydras.Ackermann.checkPrf]
n:16 [binder, in hydras.Epsilon0.Hessenberg]
n:16 [binder, in hydras.Ackermann.subProp]
n:16 [binder, in hydras.Epsilon0.Large_Sets]
n:16 [binder, in hydras.Schutte.AP]
n:16 [binder, in hydras.solutions_exercises.MultisetWf]
N:16 [binder, in hydras.Epsilon0.F_omega]
n:16 [binder, in hydras.Hydra.Hydra_Termination]
n:16 [binder, in hydras.Ackermann.wellFormed]
n:16 [binder, in hydras.OrdinalNotations.ON_Finite]
n:16 [binder, in additions.fib]
n:16 [binder, in hydras.Ackermann.codeList]
n:16 [binder, in Goedel.codeSysPrf]
n:16 [binder, in hydras.Ackermann.codePA]
n:16 [binder, in hydras.solutions_exercises.T1_ltNotWf]
n:160 [binder, in hydras.Ackermann.subAll]
n:160 [binder, in hydras.Ackermann.model]
n:160 [binder, in hydras.Ackermann.codeList]
n:1604 [binder, in gaia_hydras.nfwfgaia]
n:161 [binder, in hydras.Epsilon0.T1]
n:161 [binder, in additions.fib]
n:161 [binder, in hydras.Ackermann.codeList]
n:1611 [binder, in gaia_hydras.nfwfgaia]
n:162 [binder, in hydras.Ackermann.subAll]
n:162 [binder, in hydras.Prelude.MoreLists]
n:162 [binder, in hydras.Ackermann.codeList]
n:163 [binder, in hydras.Epsilon0.T1]
n:163 [binder, in hydras.Epsilon0.F_alpha]
n:163 [binder, in hydras.Ackermann.codeList]
n:163 [binder, in hydras.Gamma0.Gamma0]
n:164 [binder, in hydras.Ackermann.cPair]
n:164 [binder, in hydras.Ackermann.codeList]
n:1653 [binder, in gaia_hydras.nfwfgaia]
n:166 [binder, in hydras.Ackermann.LNN]
n:166 [binder, in hydras.Schutte.Schutte_basics]
n:167 [binder, in hydras.Ackermann.subAll]
n:167 [binder, in hydras.Schutte.Schutte_basics]
n:167 [binder, in hydras.Ackermann.codeList]
n:167 [binder, in hydras.Gamma0.Gamma0]
n:1677 [binder, in gaia_hydras.nfwfgaia]
n:168 [binder, in hydras.Epsilon0.T1]
n:168 [binder, in hydras.Ackermann.subAll]
n:168 [binder, in hydras.Epsilon0.F_alpha]
n:168 [binder, in hydras.Ackermann.cPair]
n:168 [binder, in hydras.Epsilon0.Paths]
n:168 [binder, in gaia_hydras.nfwfgaia]
n:168 [binder, in hydras.Ackermann.codePA]
n:1680 [binder, in gaia_hydras.nfwfgaia]
n:1686 [binder, in gaia_hydras.nfwfgaia]
n:17 [binder, in hydras.Ackermann.subAll]
n:17 [binder, in hydras.Prelude.More_Arith]
n:17 [binder, in hydras.Ackermann.extEqualNat]
n:17 [binder, in hydras.Hydra.O2H]
n:17 [binder, in hydras.Ackermann.folLogic2]
n:17 [binder, in hydras.MoreAck.AckNotPR]
n:17 [binder, in hydras.Ackermann.codeSubFormula]
n:17 [binder, in hydras.Ackermann.primRec]
n:17 [binder, in hydras.Epsilon0.Canon]
n:17 [binder, in hydras.Hydra.Hydra_Lemmas]
n:17 [binder, in hydras.Prelude.MoreVectors]
n:170 [binder, in hydras.Ackermann.subAll]
n:170 [binder, in hydras.Ackermann.codeList]
n:171 [binder, in hydras.Epsilon0.T1]
n:171 [binder, in hydras.Epsilon0.F_alpha]
n:171 [binder, in hydras.Gamma0.Gamma0]
n:171 [binder, in gaia_hydras.nfwfgaia]
n:171 [binder, in hydras.Ackermann.codePA]
n:1713 [binder, in gaia_hydras.nfwfgaia]
n:1714 [binder, in gaia_hydras.nfwfgaia]
n:172 [binder, in hydras.Ackermann.subAll]
n:172 [binder, in hydras.Ackermann.cPair]
n:173 [binder, in hydras.Prelude.MoreLists]
n:173 [binder, in hydras.Schutte.Schutte_basics]
n:173 [binder, in hydras.Ackermann.codeList]
n:173 [binder, in hydras.Epsilon0.Paths]
n:173 [binder, in hydras.Gamma0.Gamma0]
n:174 [binder, in hydras.Epsilon0.T1]
n:174 [binder, in hydras.Ackermann.subAll]
n:174 [binder, in hydras.Schutte.Schutte_basics]
n:175 [binder, in gaia_hydras.T1Bridge]
n:176 [binder, in hydras.Ackermann.subAll]
n:176 [binder, in hydras.Prelude.MoreLists]
n:176 [binder, in hydras.Ackermann.codeList]
n:177 [binder, in hydras.Ackermann.model]
n:177 [binder, in gaia_hydras.T1Bridge]
n:1775 [binder, in gaia_hydras.nfwfgaia]
n:178 [binder, in hydras.Gamma0.Gamma0]
n:1784 [binder, in gaia_hydras.nfwfgaia]
n:1786 [binder, in gaia_hydras.nfwfgaia]
n:179 [binder, in hydras.Epsilon0.T1]
n:179 [binder, in hydras.Ackermann.subAll]
n:179 [binder, in hydras.Prelude.MoreLists]
n:179 [binder, in additions.Euclidean_Chains]
n:179 [binder, in hydras.Ackermann.codeList]
n:1794 [binder, in gaia_hydras.nfwfgaia]
n:18 [binder, in additions.Fib2]
n:18 [binder, in additions.FirstSteps]
n:18 [binder, in hydras.Prelude.Compat815]
n:18 [binder, in Goedel.fixPoint]
n:18 [binder, in hydras.Epsilon0.Large_Sets]
n:18 [binder, in hydras.Schutte.AP]
n:18 [binder, in hydras.Ackermann.NNtheory]
n:18 [binder, in hydras.Ackermann.codeList]
n:18 [binder, in hydras.solutions_exercises.F_3]
n:1801 [binder, in gaia_hydras.nfwfgaia]
n:181 [binder, in hydras.Gamma0.Gamma0]
n:182 [binder, in hydras.Epsilon0.T1]
n:182 [binder, in hydras.Ackermann.subAll]
n:182 [binder, in hydras.Prelude.Iterates]
n:182 [binder, in hydras.Ackermann.fol]
n:182 [binder, in hydras.Ackermann.codeList]
n:1822 [binder, in gaia_hydras.nfwfgaia]
n:1825 [binder, in gaia_hydras.nfwfgaia]
n:1828 [binder, in gaia_hydras.nfwfgaia]
n:183 [binder, in gaia_hydras.T1Bridge]
n:183 [binder, in hydras.Gamma0.Gamma0]
n:1831 [binder, in gaia_hydras.nfwfgaia]
n:1834 [binder, in gaia_hydras.nfwfgaia]
n:184 [binder, in hydras.Ackermann.model]
n:184 [binder, in hydras.Ackermann.wellFormed]
n:184 [binder, in hydras.Ackermann.codeList]
n:1847 [binder, in gaia_hydras.nfwfgaia]
n:1849 [binder, in gaia_hydras.nfwfgaia]
n:185 [binder, in hydras.Ackermann.subAll]
n:185 [binder, in hydras.Epsilon0.F_alpha]
n:185 [binder, in hydras.Gamma0.Gamma0]
n:185 [binder, in gaia_hydras.nfwfgaia]
n:1851 [binder, in gaia_hydras.nfwfgaia]
n:1853 [binder, in gaia_hydras.nfwfgaia]
n:1854 [binder, in gaia_hydras.nfwfgaia]
n:186 [binder, in gaia_hydras.T1Bridge]
n:186 [binder, in hydras.Ackermann.codeList]
n:1862 [binder, in gaia_hydras.nfwfgaia]
n:1864 [binder, in gaia_hydras.nfwfgaia]
n:1868 [binder, in gaia_hydras.nfwfgaia]
n:187 [binder, in hydras.Epsilon0.T1]
n:187 [binder, in hydras.Gamma0.Gamma0]
n:187 [binder, in gaia_hydras.nfwfgaia]
n:1874 [binder, in gaia_hydras.nfwfgaia]
n:188 [binder, in hydras.Ackermann.cPair]
n:188 [binder, in hydras.Ackermann.fol]
n:188 [binder, in hydras.Ackermann.codeList]
n:1880 [binder, in gaia_hydras.nfwfgaia]
n:1883 [binder, in gaia_hydras.nfwfgaia]
n:189 [binder, in gaia_hydras.T1Bridge]
n:189 [binder, in additions.Euclidean_Chains]
n:189 [binder, in hydras.Gamma0.Gamma0]
n:189 [binder, in gaia_hydras.nfwfgaia]
n:1893 [binder, in gaia_hydras.nfwfgaia]
n:1897 [binder, in gaia_hydras.nfwfgaia]
n:19 [binder, in hydras.Schutte.Correctness_E0]
n:19 [binder, in additions.Fib2]
n:19 [binder, in hydras.Prelude.More_Arith]
n:19 [binder, in hydras.Prelude.Iterates]
n:19 [binder, in hydras.Ackermann.folLogic2]
n:19 [binder, in additions.More_on_positive]
n:19 [binder, in hydras.Ackermann.codeSubFormula]
n:19 [binder, in hydras.Epsilon0.F_omega]
n:19 [binder, in gaia_hydras.ON_gfinite]
n:19 [binder, in hydras.Epsilon0.Canon]
n:19 [binder, in hydras.Ackermann.NNtheory]
n:19 [binder, in hydras.Gamma0.Gamma0]
n:19 [binder, in hydras.Ackermann.codePA]
n:19 [binder, in hydras.Prelude.MoreVectors]
n:190 [binder, in hydras.Ackermann.codeList]
n:1901 [binder, in gaia_hydras.nfwfgaia]
n:1906 [binder, in gaia_hydras.nfwfgaia]
n:1910 [binder, in gaia_hydras.nfwfgaia]
n:1915 [binder, in gaia_hydras.nfwfgaia]
n:1919 [binder, in gaia_hydras.nfwfgaia]
n:192 [binder, in hydras.Ackermann.codeList]
n:1925 [binder, in gaia_hydras.nfwfgaia]
n:193 [binder, in gaia_hydras.nfwfgaia]
n:1931 [binder, in gaia_hydras.nfwfgaia]
n:1936 [binder, in gaia_hydras.nfwfgaia]
n:194 [binder, in hydras.Ackermann.wellFormed]
n:194 [binder, in hydras.Ackermann.codeList]
n:1941 [binder, in gaia_hydras.nfwfgaia]
n:1946 [binder, in gaia_hydras.nfwfgaia]
n:195 [binder, in hydras.Ackermann.codeList]
n:195 [binder, in additions.Addition_Chains]
n:1951 [binder, in gaia_hydras.nfwfgaia]
n:1957 [binder, in gaia_hydras.nfwfgaia]
n:196 [binder, in hydras.Ackermann.codeList]
n:1964 [binder, in gaia_hydras.nfwfgaia]
n:1969 [binder, in gaia_hydras.nfwfgaia]
n:197 [binder, in hydras.Ackermann.wellFormed]
n:197 [binder, in gaia_hydras.nfwfgaia]
n:1975 [binder, in gaia_hydras.nfwfgaia]
n:198 [binder, in hydras.Epsilon0.T1]
n:198 [binder, in hydras.Ackermann.codeList]
n:1981 [binder, in gaia_hydras.nfwfgaia]
n:1986 [binder, in gaia_hydras.nfwfgaia]
n:1992 [binder, in gaia_hydras.nfwfgaia]
n:1997 [binder, in gaia_hydras.nfwfgaia]
n:2 [binder, in hydras.Ackermann.folProof]
n:2 [binder, in hydras.Prelude.MoreLists]
n:2 [binder, in hydras.MoreAck.expressibleExamples]
n:2 [binder, in additions.Compatibility]
n:2 [binder, in hydras.Prelude.Compat815]
n:2 [binder, in hydras.Prelude.First_toggle]
n:2 [binder, in hydras.Ackermann.LNN2LNT]
n:2 [binder, in hydras.MoreAck.Iterate_compat]
n:2 [binder, in hydras.MoreAck.Ack]
n:2 [binder, in hydras.solutions_exercises.MorePRExamples]
n:2 [binder, in additions.Naive]
n:2 [binder, in gaia_hydras.nfwfgaia]
n:2 [binder, in additions.Demo]
n:2 [binder, in hydras.Prelude.MoreVectors]
n:20 [binder, in Goedel.PRrepresentable]
n:20 [binder, in additions.Fib2]
n:20 [binder, in hydras.Prelude.Compat815]
n:20 [binder, in hydras.Ackermann.LNN2LNT]
n:20 [binder, in gaia_hydras.GCanon]
n:20 [binder, in hydras.Schutte.GRelations]
n:20 [binder, in hydras.Epsilon0.Large_Sets]
n:20 [binder, in hydras.Prelude.Fuel]
n:20 [binder, in hydras.Ackermann.codeList]
n:20 [binder, in hydras.Schutte.Countable]
n:20 [binder, in hydras.Ackermann.expressible]
n:200 [binder, in hydras.Epsilon0.T1]
n:200 [binder, in hydras.Ackermann.wellFormed]
n:200 [binder, in hydras.Ackermann.codeList]
n:2003 [binder, in gaia_hydras.nfwfgaia]
n:201 [binder, in hydras.Epsilon0.T1]
n:201 [binder, in hydras.Epsilon0.Large_Sets]
n:2019 [binder, in gaia_hydras.nfwfgaia]
n:202 [binder, in hydras.Ackermann.codeList]
n:2024 [binder, in gaia_hydras.nfwfgaia]
n:2028 [binder, in gaia_hydras.nfwfgaia]
n:203 [binder, in hydras.Ackermann.model]
n:203 [binder, in hydras.Epsilon0.Large_Sets]
n:203 [binder, in hydras.Ackermann.cPair]
n:203 [binder, in gaia_hydras.nfwfgaia]
n:204 [binder, in hydras.Epsilon0.T1]
n:204 [binder, in hydras.Ackermann.codeList]
n:205 [binder, in additions.Euclidean_Chains]
n:205 [binder, in gaia_hydras.nfwfgaia]
n:206 [binder, in hydras.Epsilon0.T1]
n:206 [binder, in hydras.Epsilon0.Large_Sets]
n:206 [binder, in hydras.Ackermann.codeList]
n:207 [binder, in hydras.Ackermann.cPair]
n:208 [binder, in hydras.Epsilon0.Large_Sets]
n:208 [binder, in hydras.Ackermann.codeList]
n:209 [binder, in hydras.Epsilon0.Large_Sets]
n:209 [binder, in hydras.Ackermann.codeList]
n:209 [binder, in additions.Addition_Chains]
n:21 [binder, in Goedel.fixPoint]
N:21 [binder, in hydras.MoreAck.AckNotPR]
n:21 [binder, in hydras.Ackermann.codeSubFormula]
n:21 [binder, in hydras.solutions_exercises.MultisetWf]
n:21 [binder, in hydras.Ackermann.code]
n:21 [binder, in hydras.Ackermann.primRec]
n:21 [binder, in gaia_hydras.ON_gfinite]
n:21 [binder, in hydras.OrdinalNotations.ON_Finite]
n:21 [binder, in hydras.Schutte.Countable]
n:210 [binder, in hydras.Ackermann.subAll]
n:210 [binder, in hydras.Ackermann.model]
n:210 [binder, in hydras.Epsilon0.Large_Sets]
n:210 [binder, in hydras.Ackermann.cPair]
n:211 [binder, in hydras.Ackermann.subAll]
n:211 [binder, in hydras.Prelude.MoreLists]
n:211 [binder, in additions.Addition_Chains]
n:211 [binder, in hydras.Epsilon0.Paths]
n:212 [binder, in hydras.rpo.term]
n:212 [binder, in hydras.Epsilon0.Large_Sets]
n:212 [binder, in hydras.Ackermann.cPair]
n:212 [binder, in additions.Euclidean_Chains]
n:212 [binder, in hydras.Ackermann.codeList]
n:213 [binder, in hydras.Prelude.MoreLists]
n:214 [binder, in hydras.Epsilon0.Large_Sets]
n:214 [binder, in hydras.Ackermann.cPair]
n:215 [binder, in hydras.Ackermann.subAll]
n:216 [binder, in hydras.Epsilon0.T1]
n:216 [binder, in hydras.Ackermann.subAll]
n:216 [binder, in hydras.Epsilon0.Large_Sets]
n:217 [binder, in hydras.Prelude.MoreLists]
n:217 [binder, in hydras.Ackermann.codeList]
n:218 [binder, in hydras.Epsilon0.Paths]
n:219 [binder, in additions.Euclidean_Chains]
n:219 [binder, in hydras.Gamma0.Gamma0]
n:219 [binder, in gaia_hydras.nfwfgaia]
n:22 [binder, in hydras.Ackermann.subAll]
n:22 [binder, in hydras.Ackermann.codeFreeVar]
n:22 [binder, in hydras.Hydra.O2H]
n:22 [binder, in hydras.Prelude.Compat815]
n:22 [binder, in hydras.Ackermann.LNN2LNT]
n:22 [binder, in additions.Pow_variant]
n:22 [binder, in additions.Pow]
n:22 [binder, in hydras.Epsilon0.Hessenberg]
n:22 [binder, in additions.More_on_positive]
n:22 [binder, in hydras.MoreAck.Ack]
n:22 [binder, in hydras.solutions_exercises.FibonacciPR]
n:22 [binder, in hydras.Epsilon0.Canon]
n:22 [binder, in hydras.OrdinalNotations.ON_Finite]
n:22 [binder, in hydras.Ackermann.codeList]
n:22 [binder, in hydras.MoreAck.PrimRecExamples]
n:220 [binder, in hydras.Epsilon0.T1]
n:220 [binder, in hydras.Ackermann.subAll]
n:220 [binder, in hydras.Prelude.MoreLists]
n:220 [binder, in hydras.Ackermann.codeList]
n:221 [binder, in hydras.Ackermann.subAll]
n:222 [binder, in gaia_hydras.nfwfgaia]
n:224 [binder, in hydras.Epsilon0.Paths]
n:225 [binder, in hydras.Ackermann.subAll]
n:225 [binder, in hydras.Ackermann.codeList]
n:225 [binder, in hydras.Gamma0.Gamma0]
n:226 [binder, in hydras.Epsilon0.T1]
n:227 [binder, in additions.AM]
n:228 [binder, in hydras.Ackermann.codeList]
n:228 [binder, in gaia_hydras.nfwfgaia]
n:229 [binder, in hydras.Epsilon0.Paths]
n:229 [binder, in hydras.Gamma0.Gamma0]
n:23 [binder, in hydras.Schutte.Correctness_E0]
n:23 [binder, in hydras.Prelude.Iterates]
n:23 [binder, in gaia_hydras.GF_alpha]
n:23 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:23 [binder, in additions.More_on_positive]
n:23 [binder, in hydras.Schutte.GRelations]
n:23 [binder, in hydras.Ackermann.codeSubFormula]
n:23 [binder, in hydras.Epsilon0.Large_Sets]
n:23 [binder, in hydras.Prelude.Fuel]
n:23 [binder, in hydras.solutions_exercises.FibonacciPR]
n:23 [binder, in gaia_hydras.ON_gfinite]
n:23 [binder, in hydras.OrdinalNotations.ON_Finite]
n:23 [binder, in hydras.Epsilon0.E0]
n:23 [binder, in hydras.solutions_exercises.F_3]
n:230 [binder, in hydras.Ackermann.subAll]
n:230 [binder, in hydras.Prelude.Iterates]
n:230 [binder, in additions.Addition_Chains]
n:231 [binder, in hydras.Epsilon0.T1]
n:231 [binder, in hydras.Ackermann.codeList]
n:232 [binder, in hydras.Prelude.Iterates]
n:232 [binder, in hydras.Epsilon0.Paths]
n:232 [binder, in hydras.Ackermann.codePA]
n:233 [binder, in hydras.Gamma0.Gamma0]
n:233 [binder, in hydras.Ackermann.codePA]
n:234 [binder, in hydras.Ackermann.codeList]
n:235 [binder, in hydras.Epsilon0.T1]
n:235 [binder, in hydras.Prelude.Iterates]
n:236 [binder, in additions.AM]
n:237 [binder, in hydras.Ackermann.codeList]
n:238 [binder, in hydras.Epsilon0.T1]
n:238 [binder, in hydras.Epsilon0.Paths]
n:238 [binder, in gaia_hydras.nfwfgaia]
n:239 [binder, in hydras.Prelude.Iterates]
n:24 [binder, in Goedel.PRrepresentable]
n:24 [binder, in hydras.Ackermann.extEqualNat]
n:24 [binder, in gaia_hydras.GF_alpha]
n:24 [binder, in hydras.Prelude.Compat815]
n:24 [binder, in hydras.Ackermann.LNN2LNT]
n:24 [binder, in hydras.MoreAck.AckNotPR]
n:24 [binder, in hydras.Prelude.Fuel]
n:24 [binder, in hydras.MoreAck.Ack]
n:24 [binder, in hydras.OrdinalNotations.ON_Finite]
n:24 [binder, in hydras.Ackermann.codeList]
n:24 [binder, in hydras.Ackermann.folLogic3]
n:24 [binder, in hydras.Ackermann.Languages]
n:24 [binder, in hydras.Ackermann.expressible]
n:24 [binder, in hydras.Prelude.MoreVectors]
n:240 [binder, in hydras.Ackermann.codeList]
n:242 [binder, in hydras.Prelude.Iterates]
n:243 [binder, in additions.AM]
n:243 [binder, in hydras.Ackermann.codeList]
n:245 [binder, in hydras.Ackermann.cPair]
n:246 [binder, in hydras.Prelude.Iterates]
n:246 [binder, in hydras.Ackermann.codeList]
n:249 [binder, in hydras.Epsilon0.T1]
n:249 [binder, in hydras.Ackermann.codeList]
n:25 [binder, in additions.Fib2]
n:25 [binder, in additions.Compatibility]
n:25 [binder, in additions.More_on_positive]
n:25 [binder, in hydras.Schutte.GRelations]
n:25 [binder, in hydras.Ackermann.codeSubFormula]
n:25 [binder, in hydras.solutions_exercises.MultisetWf]
n:25 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
n:25 [binder, in hydras.Epsilon0.Canon]
n:25 [binder, in hydras.OrdinalNotations.ON_Finite]
n:25 [binder, in gaia_hydras.onType]
n:25 [binder, in hydras.solutions_exercises.F_3]
n:25 [binder, in hydras.Gamma0.Gamma0]
n:250 [binder, in hydras.Ackermann.subAll]
n:250 [binder, in hydras.Prelude.Iterates]
n:251 [binder, in hydras.Epsilon0.T1]
n:252 [binder, in hydras.Ackermann.codeList]
n:254 [binder, in hydras.Epsilon0.T1]
n:254 [binder, in hydras.Ackermann.subAll]
n:254 [binder, in gaia_hydras.nfwfgaia]
n:255 [binder, in hydras.Ackermann.codeList]
n:256 [binder, in gaia_hydras.nfwfgaia]
n:258 [binder, in hydras.Epsilon0.T1]
n:258 [binder, in hydras.Ackermann.codeList]
n:258 [binder, in hydras.rpo.rpo]
n:26 [binder, in hydras.Gamma0.T2]
n:26 [binder, in hydras.Prelude.Iterates]
n:26 [binder, in hydras.Ackermann.extEqualNat]
n:26 [binder, in hydras.Hydra.O2H]
n:26 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:26 [binder, in hydras.Prelude.Compat815]
n:26 [binder, in hydras.Ackermann.codeSubTerm]
n:26 [binder, in hydras.solutions_exercises.MultisetWf]
n:26 [binder, in hydras.Prelude.Fuel]
n:26 [binder, in hydras.Hydra.Hydra_Termination]
n:26 [binder, in hydras.Ackermann.codeList]
n:26 [binder, in hydras.MoreAck.FolExamples]
n:261 [binder, in hydras.Epsilon0.T1]
n:261 [binder, in hydras.Ackermann.codeList]
n:261 [binder, in gaia_hydras.nfwfgaia]
n:263 [binder, in hydras.Ackermann.codeList]
n:264 [binder, in hydras.Epsilon0.T1]
n:264 [binder, in hydras.Gamma0.Gamma0]
n:264 [binder, in gaia_hydras.nfwfgaia]
n:265 [binder, in hydras.Ackermann.codeList]
n:266 [binder, in gaia_hydras.nfwfgaia]
n:267 [binder, in hydras.Ackermann.codeList]
n:267 [binder, in hydras.Gamma0.Gamma0]
n:268 [binder, in hydras.Epsilon0.T1]
n:268 [binder, in gaia_hydras.nfwfgaia]
n:269 [binder, in hydras.Ackermann.codeList]
n:27 [binder, in hydras.Ackermann.subAll]
n:27 [binder, in additions.Compatibility]
n:27 [binder, in hydras.MoreAck.AckNotPR]
n:27 [binder, in hydras.Ackermann.codeSubFormula]
n:27 [binder, in hydras.MoreAck.Ack]
n:27 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
n:27 [binder, in hydras.Ackermann.wellFormed]
n:27 [binder, in gaia_hydras.nfwfgaia]
n:270 [binder, in hydras.Epsilon0.Paths]
n:271 [binder, in hydras.Ackermann.codeList]
n:271 [binder, in hydras.Gamma0.Gamma0]
n:272 [binder, in hydras.Epsilon0.Paths]
n:273 [binder, in hydras.Ackermann.codeList]
n:274 [binder, in hydras.Ackermann.codeList]
n:275 [binder, in hydras.Ackermann.codeList]
n:275 [binder, in hydras.Epsilon0.Paths]
n:277 [binder, in hydras.Ackermann.codeList]
n:278 [binder, in hydras.Epsilon0.T1]
n:278 [binder, in Goedel.PRrepresentable]
n:278 [binder, in hydras.Epsilon0.Paths]
n:279 [binder, in hydras.Epsilon0.T1]
n:279 [binder, in hydras.Ackermann.codeList]
n:279 [binder, in additions.Addition_Chains]
n:28 [binder, in hydras.Schutte.Correctness_E0]
n:28 [binder, in hydras.Prelude.Iterates]
n:28 [binder, in hydras.Prelude.Compat815]
n:28 [binder, in hydras.Ackermann.codeSubTerm]
n:28 [binder, in hydras.Epsilon0.Hessenberg]
n:28 [binder, in gaia_hydras.GCanon]
n:28 [binder, in hydras.Schutte.AP]
n:28 [binder, in hydras.Prelude.Fuel]
n:28 [binder, in hydras.Ackermann.codeList]
n:28 [binder, in hydras.solutions_exercises.F_3]
n:28 [binder, in hydras.Hydra.Hydra_Lemmas]
n:28 [binder, in hydras.MoreAck.PrimRecExamples]
n:28 [binder, in hydras.Ackermann.expressible]
n:28 [binder, in hydras.Prelude.MoreVectors]
n:281 [binder, in hydras.Epsilon0.T1]
n:281 [binder, in Goedel.PRrepresentable]
n:281 [binder, in hydras.Ackermann.codeList]
n:282 [binder, in hydras.Ackermann.cPair]
n:282 [binder, in additions.Addition_Chains]
n:283 [binder, in hydras.Epsilon0.T1]
n:283 [binder, in hydras.Ackermann.codeList]
n:284 [binder, in Goedel.PRrepresentable]
n:284 [binder, in hydras.Ackermann.cPair]
n:285 [binder, in hydras.Ackermann.codeList]
n:285 [binder, in hydras.Gamma0.Gamma0]
n:286 [binder, in hydras.Ackermann.cPair]
n:287 [binder, in hydras.Ackermann.codeList]
n:288 [binder, in hydras.Ackermann.cPair]
n:288 [binder, in hydras.Ackermann.codeList]
n:289 [binder, in hydras.Ackermann.codeList]
n:289 [binder, in hydras.Epsilon0.Paths]
n:289 [binder, in hydras.Gamma0.Gamma0]
n:29 [binder, in hydras.Ackermann.extEqualNat]
n:29 [binder, in gaia_hydras.GF_alpha]
n:29 [binder, in additions.Compatibility]
n:29 [binder, in hydras.Ackermann.LNN2LNT]
n:29 [binder, in hydras.Ackermann.subProp]
n:29 [binder, in hydras.Schutte.GRelations]
n:29 [binder, in hydras.Ackermann.codeSubFormula]
n:29 [binder, in hydras.Schutte.AP]
n:29 [binder, in hydras.Prelude.Fuel]
n:29 [binder, in hydras.Ackermann.code]
n:29 [binder, in hydras.Hydra.Hydra_Termination]
n:29 [binder, in additions.Euclidean_Chains]
n:29 [binder, in hydras.Ackermann.wellFormed]
n:29 [binder, in Goedel.rosser]
n:290 [binder, in Goedel.PRrepresentable]
n:290 [binder, in hydras.Ackermann.cPair]
n:290 [binder, in hydras.Ackermann.codeList]
n:290 [binder, in gaia_hydras.nfwfgaia]
n:291 [binder, in hydras.Ackermann.codeList]
n:292 [binder, in hydras.Ackermann.cPair]
n:292 [binder, in hydras.Ackermann.codeList]
n:292 [binder, in hydras.Epsilon0.Paths]
n:292 [binder, in gaia_hydras.nfwfgaia]
n:293 [binder, in hydras.Ackermann.codeList]
n:293 [binder, in hydras.Gamma0.Gamma0]
n:294 [binder, in hydras.Ackermann.subAll]
n:294 [binder, in hydras.Ackermann.cPair]
n:294 [binder, in hydras.Ackermann.codeList]
n:295 [binder, in hydras.Epsilon0.Paths]
n:296 [binder, in Goedel.PRrepresentable]
n:296 [binder, in hydras.Ackermann.cPair]
n:297 [binder, in hydras.Gamma0.Gamma0]
n:298 [binder, in hydras.Ackermann.cPair]
n:3 [binder, in hydras.Ackermann.subAll]
n:3 [binder, in hydras.Prelude.Iterates]
n:3 [binder, in hydras.MoreAck.expressibleExamples]
n:3 [binder, in hydras.Ackermann.model]
n:3 [binder, in Goedel.fixPoint]
n:3 [binder, in hydras.Ackermann.folProp]
n:3 [binder, in additions.More_on_positive]
n:3 [binder, in hydras.Epsilon0.F_omega]
n:3 [binder, in hydras.OrdinalNotations.ON_Finite]
n:3 [binder, in hydras.solutions_exercises.F_3]
n:3 [binder, in hydras.Gamma0.Gamma0]
n:3 [binder, in hydras.Schutte.Addition]
n:3 [binder, in gaia_hydras.GHessenberg]
n:30 [binder, in hydras.Prelude.Compat815]
n:30 [binder, in hydras.MoreAck.AckNotPR]
n:30 [binder, in hydras.Ackermann.codeList]
n:30 [binder, in gaia_hydras.nfwfgaia]
n:30 [binder, in hydras.Ackermann.Languages]
n:30 [binder, in hydras.Prelude.MoreVectors]
n:300 [binder, in hydras.Ackermann.cPair]
n:302 [binder, in Goedel.PRrepresentable]
n:302 [binder, in hydras.Ackermann.cPair]
n:303 [binder, in Goedel.PRrepresentable]
n:303 [binder, in hydras.Epsilon0.Paths]
n:304 [binder, in Goedel.PRrepresentable]
n:304 [binder, in hydras.Ackermann.cPair]
n:304 [binder, in hydras.Gamma0.Gamma0]
n:305 [binder, in Goedel.PRrepresentable]
n:306 [binder, in hydras.Ackermann.cPair]
n:306 [binder, in hydras.Epsilon0.Paths]
n:308 [binder, in hydras.Ackermann.cPair]
n:308 [binder, in hydras.Gamma0.Gamma0]
n:31 [binder, in hydras.Epsilon0.T1]
n:31 [binder, in hydras.Hydra.O2H]
n:31 [binder, in gaia_hydras.GF_alpha]
n:31 [binder, in additions.Compatibility]
n:31 [binder, in hydras.Ackermann.codeSubFormula]
n:31 [binder, in hydras.Ackermann.primRec]
n:31 [binder, in additions.Naive]
n:31 [binder, in hydras.Ackermann.wellFormed]
n:31 [binder, in Goedel.rosser]
n:31 [binder, in hydras.Gamma0.Gamma0]
n:31 [binder, in gaia_hydras.nfwfgaia]
n:310 [binder, in hydras.Ackermann.cPair]
n:312 [binder, in hydras.Ackermann.cPair]
n:312 [binder, in hydras.Epsilon0.Paths]
n:314 [binder, in hydras.Ackermann.subAll]
n:314 [binder, in hydras.Ackermann.cPair]
n:316 [binder, in hydras.Ackermann.cPair]
n:318 [binder, in hydras.Ackermann.cPair]
n:319 [binder, in hydras.Epsilon0.T1]
n:32 [binder, in hydras.rpo.term]
n:32 [binder, in hydras.Prelude.Compat815]
n:32 [binder, in hydras.Ackermann.code]
n:32 [binder, in hydras.MoreAck.Ack]
n:32 [binder, in hydras.Ackermann.fol]
n:32 [binder, in hydras.Ackermann.codeList]
n:32 [binder, in hydras.Hydra.Hydra_Lemmas]
n:32 [binder, in gaia_hydras.nfwfgaia]
n:320 [binder, in hydras.Ackermann.cPair]
n:320 [binder, in hydras.Epsilon0.Paths]
n:321 [binder, in gaia_hydras.nfwfgaia]
n:322 [binder, in hydras.Ackermann.cPair]
n:322 [binder, in hydras.Epsilon0.Paths]
n:323 [binder, in hydras.Epsilon0.T1]
n:323 [binder, in gaia_hydras.nfwfgaia]
n:324 [binder, in hydras.Ackermann.cPair]
n:325 [binder, in Goedel.PRrepresentable]
n:325 [binder, in gaia_hydras.nfwfgaia]
n:326 [binder, in hydras.Ackermann.cPair]
n:326 [binder, in hydras.Epsilon0.Paths]
n:326 [binder, in gaia_hydras.nfwfgaia]
n:327 [binder, in hydras.Ackermann.cPair]
n:328 [binder, in hydras.Epsilon0.T1]
n:328 [binder, in hydras.Ackermann.cPair]
n:328 [binder, in hydras.Epsilon0.Paths]
n:329 [binder, in hydras.Ackermann.cPair]
n:33 [binder, in additions.Compatibility]
n:33 [binder, in additions.FirstSteps]
n:33 [binder, in hydras.Prelude.Compat815]
n:33 [binder, in hydras.Epsilon0.Hessenberg]
n:33 [binder, in hydras.Ackermann.codeSubFormula]
n:33 [binder, in hydras.Hydra.Hydra_Termination]
n:33 [binder, in additions.Euclidean_Chains]
n:33 [binder, in hydras.Ackermann.codeList]
n:330 [binder, in Goedel.PRrepresentable]
n:330 [binder, in hydras.Ackermann.cPair]
n:331 [binder, in hydras.Ackermann.cPair]
n:332 [binder, in hydras.Ackermann.cPair]
n:333 [binder, in hydras.Epsilon0.T1]
n:333 [binder, in hydras.Ackermann.cPair]
n:333 [binder, in additions.Euclidean_Chains]
n:334 [binder, in hydras.Ackermann.cPair]
n:335 [binder, in Goedel.PRrepresentable]
n:336 [binder, in hydras.Ackermann.cPair]
n:34 [binder, in hydras.Prelude.Iterates]
n:34 [binder, in hydras.Prelude.Compat815]
n:34 [binder, in gaia_hydras.GCanon]
n:34 [binder, in hydras.MoreAck.AckNotPR]
n:34 [binder, in hydras.Ackermann.subProp]
n:34 [binder, in hydras.Schutte.AP]
n:34 [binder, in hydras.Ackermann.fol]
n:34 [binder, in hydras.Ackermann.codeList]
n:342 [binder, in hydras.Epsilon0.Paths]
n:343 [binder, in hydras.Ackermann.cPair]
n:344 [binder, in hydras.Ackermann.cPair]
n:345 [binder, in hydras.Epsilon0.T1]
n:345 [binder, in hydras.Ackermann.cPair]
n:346 [binder, in hydras.Epsilon0.Paths]
n:35 [binder, in hydras.Ackermann.codeSubFormula]
n:35 [binder, in hydras.Ackermann.code]
n:35 [binder, in hydras.Ackermann.codeList]
n:35 [binder, in Goedel.rosser]
n:35 [binder, in hydras.Ackermann.Languages]
n:350 [binder, in hydras.Epsilon0.T1]
n:350 [binder, in hydras.Epsilon0.Paths]
n:353 [binder, in hydras.Epsilon0.T1]
n:354 [binder, in hydras.Epsilon0.Paths]
n:355 [binder, in hydras.Epsilon0.Paths]
n:356 [binder, in hydras.Epsilon0.T1]
n:359 [binder, in hydras.Epsilon0.Paths]
n:36 [binder, in hydras.Ackermann.codeSubTerm]
n:36 [binder, in hydras.Ackermann.LNN2LNT]
n:36 [binder, in hydras.Ackermann.codeList]
n:36 [binder, in hydras.Ackermann.expressible]
n:363 [binder, in hydras.Epsilon0.T1]
n:363 [binder, in gaia_hydras.nfwfgaia]
n:364 [binder, in hydras.Ackermann.subAll]
n:367 [binder, in hydras.Ackermann.subAll]
n:37 [binder, in hydras.Prelude.Iterates]
n:37 [binder, in additions.Compatibility]
n:37 [binder, in hydras.Ackermann.codeSubFormula]
n:37 [binder, in hydras.Schutte.AP]
n:37 [binder, in hydras.Ackermann.fol]
n:37 [binder, in hydras.Epsilon0.Canon]
n:37 [binder, in hydras.Ackermann.codeList]
n:37 [binder, in hydras.Hydra.Hydra_Definitions]
n:37 [binder, in hydras.Prelude.MoreVectors]
n:370 [binder, in Goedel.PRrepresentable]
n:371 [binder, in Goedel.PRrepresentable]
n:376 [binder, in hydras.Ackermann.subAll]
n:377 [binder, in hydras.Epsilon0.T1]
n:379 [binder, in hydras.Ackermann.subAll]
n:38 [binder, in additions.FirstSteps]
n:38 [binder, in hydras.Ackermann.LNN2LNT]
n:38 [binder, in gaia_hydras.GCanon]
n:38 [binder, in hydras.Ackermann.codeSubFormula]
n:38 [binder, in hydras.Epsilon0.F_omega]
n:38 [binder, in hydras.Ackermann.codeList]
n:38 [binder, in hydras.Ackermann.folLogic3]
n:38 [binder, in hydras.Ackermann.Languages]
n:382 [binder, in hydras.Epsilon0.T1]
n:384 [binder, in gaia_hydras.nfwfgaia]
n:386 [binder, in hydras.Epsilon0.T1]
n:386 [binder, in gaia_hydras.nfwfgaia]
n:387 [binder, in hydras.Epsilon0.Paths]
n:388 [binder, in gaia_hydras.nfwfgaia]
n:39 [binder, in hydras.Prelude.More_Arith]
n:39 [binder, in hydras.Epsilon0.Hessenberg]
n:39 [binder, in hydras.Ackermann.subProp]
n:39 [binder, in hydras.Ackermann.codeSubFormula]
n:39 [binder, in gaia_hydras.T1Bridge]
n:39 [binder, in additions.Naive]
n:39 [binder, in hydras.Epsilon0.Canon]
n:39 [binder, in additions.fib]
n:39 [binder, in hydras.Ackermann.codeList]
n:39 [binder, in hydras.Ackermann.folLogic3]
n:39 [binder, in hydras.Ackermann.expressible]
n:391 [binder, in hydras.Epsilon0.T1]
n:392 [binder, in hydras.Epsilon0.Paths]
n:394 [binder, in hydras.Epsilon0.T1]
n:394 [binder, in hydras.Epsilon0.Paths]
n:394 [binder, in gaia_hydras.nfwfgaia]
n:397 [binder, in hydras.Epsilon0.Paths]
n:399 [binder, in hydras.Epsilon0.T1]
n:4 [binder, in hydras.Epsilon0.T1]
n:4 [binder, in hydras.Schutte.Correctness_E0]
n:4 [binder, in hydras.Prelude.More_Arith]
n:4 [binder, in hydras.Ackermann.extEqualNat]
n:4 [binder, in gaia_hydras.GF_alpha]
n:4 [binder, in hydras.MoreAck.expressibleExamples]
n:4 [binder, in additions.Compatibility]
n:4 [binder, in hydras.Prelude.Compat815]
n:4 [binder, in hydras.Prelude.First_toggle]
n:4 [binder, in gaia_hydras.GPaths]
n:4 [binder, in hydras.Ackermann.PAtheory]
n:4 [binder, in hydras.Prelude.Fuel]
n:4 [binder, in hydras.Ackermann.cPair]
n:4 [binder, in gaia_hydras.ON_gfinite]
n:4 [binder, in additions.Monoid_instances]
n:4 [binder, in additions.fib]
n:4 [binder, in hydras.Ackermann.codeList]
n:4 [binder, in hydras.Prelude.LibHyps_Experiments]
n:4 [binder, in hydras.solutions_exercises.F_3]
n:4 [binder, in hydras.Ackermann.codeNatToTerm]
n:4 [binder, in gaia_hydras.nfwfgaia]
n:4 [binder, in hydras.Ackermann.expressible]
n:40 [binder, in hydras.Prelude.Iterates]
n:40 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:40 [binder, in hydras.Ackermann.LNN2LNT]
n:40 [binder, in hydras.Ackermann.model]
n:40 [binder, in hydras.MoreAck.AckNotPR]
n:40 [binder, in hydras.Ackermann.codeSubFormula]
n:40 [binder, in hydras.Prelude.Fuel]
n:40 [binder, in hydras.Ackermann.fol]
n:40 [binder, in hydras.Ackermann.codeList]
n:40 [binder, in hydras.Ackermann.folLogic3]
n:40 [binder, in Goedel.rosser]
n:40 [binder, in hydras.Ackermann.Languages]
n:41 [binder, in hydras.Prelude.More_Arith]
n:41 [binder, in hydras.Ackermann.codeSubFormula]
n:41 [binder, in additions.Naive]
n:41 [binder, in hydras.Ackermann.wellFormed]
n:41 [binder, in gaia_hydras.onType]
n:41 [binder, in hydras.Ackermann.folLogic3]
n:41 [binder, in hydras.rpo.list_permut]
n:41 [binder, in gaia_hydras.nfwfgaia]
n:41 [binder, in hydras.MoreAck.PrimRecExamples]
n:416 [binder, in hydras.Epsilon0.T1]
n:419 [binder, in hydras.Ackermann.folProp]
n:42 [binder, in gaia_hydras.GCanon]
n:42 [binder, in hydras.Epsilon0.Large_Sets]
n:42 [binder, in hydras.solutions_exercises.MultisetWf]
n:42 [binder, in hydras.Ackermann.primRec]
n:42 [binder, in hydras.Hydra.Hydra_Termination]
n:42 [binder, in hydras.rpo.list_permut]
n:42 [binder, in hydras.Hydra.Hydra_Definitions]
n:42 [binder, in hydras.Prelude.MoreVectors]
n:421 [binder, in hydras.Ackermann.folProp]
n:423 [binder, in hydras.Ackermann.folProp]
n:423 [binder, in gaia_hydras.nfwfgaia]
n:426 [binder, in hydras.Epsilon0.T1]
n:427 [binder, in gaia_hydras.nfwfgaia]
n:43 [binder, in hydras.Ackermann.subAll]
n:43 [binder, in additions.Compatibility]
n:43 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:43 [binder, in hydras.Ackermann.codeSubFormula]
n:43 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
n:43 [binder, in hydras.Prelude.Fuel]
n:43 [binder, in hydras.Epsilon0.Canon]
n:43 [binder, in hydras.Epsilon0.E0]
n:43 [binder, in gaia_hydras.nfwfgaia]
n:43 [binder, in hydras.MoreAck.PrimRecExamples]
n:43 [binder, in hydras.Ackermann.expressible]
n:431 [binder, in hydras.Ackermann.fol]
n:431 [binder, in hydras.Gamma0.Gamma0]
n:432 [binder, in hydras.Epsilon0.T1]
n:433 [binder, in hydras.Ackermann.fol]
n:433 [binder, in hydras.Gamma0.Gamma0]
n:436 [binder, in hydras.Ackermann.primRec]
n:437 [binder, in hydras.Epsilon0.T1]
n:44 [binder, in hydras.Prelude.More_Arith]
n:44 [binder, in hydras.Hydra.O2H]
n:44 [binder, in additions.FirstSteps]
n:44 [binder, in hydras.MoreAck.AckNotPR]
n:44 [binder, in hydras.Prelude.Fuel]
n:44 [binder, in additions.fib]
n:44 [binder, in hydras.MoreAck.PrimRecExamples]
n:440 [binder, in gaia_hydras.nfwfgaia]
n:444 [binder, in Goedel.PRrepresentable]
n:444 [binder, in hydras.Ackermann.primRec]
n:445 [binder, in hydras.Ackermann.primRec]
n:446 [binder, in Goedel.PRrepresentable]
n:45 [binder, in hydras.Schutte.Correctness_E0]
n:45 [binder, in additions.FirstSteps]
n:45 [binder, in hydras.Epsilon0.F_alpha]
n:45 [binder, in hydras.Ackermann.codeSubFormula]
n:45 [binder, in hydras.solutions_exercises.MultisetWf]
n:45 [binder, in hydras.Ackermann.codeList]
n:452 [binder, in hydras.Ackermann.primRec]
n:454 [binder, in hydras.Epsilon0.T1]
n:455 [binder, in Goedel.PRrepresentable]
n:457 [binder, in Goedel.PRrepresentable]
n:457 [binder, in hydras.Ackermann.primRec]
n:458 [binder, in hydras.Ackermann.primRec]
n:46 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:46 [binder, in hydras.Prelude.Fuel]
n:46 [binder, in hydras.OrdinalNotations.OmegaOmega]
n:46 [binder, in hydras.Ackermann.wellFormed]
n:46 [binder, in hydras.Hydra.Hydra_Lemmas]
n:465 [binder, in Goedel.PRrepresentable]
n:465 [binder, in hydras.Ackermann.primRec]
n:47 [binder, in hydras.Schutte.Correctness_E0]
n:47 [binder, in additions.FirstSteps]
n:47 [binder, in gaia_hydras.GCanon]
n:47 [binder, in hydras.Ackermann.codeSubFormula]
n:47 [binder, in hydras.Ackermann.folLogic3]
n:47 [binder, in hydras.Ackermann.expressible]
n:470 [binder, in hydras.Ackermann.primRec]
n:470 [binder, in additions.Euclidean_Chains]
n:470 [binder, in hydras.Gamma0.Gamma0]
n:472 [binder, in hydras.Epsilon0.Paths]
n:473 [binder, in Goedel.PRrepresentable]
n:474 [binder, in hydras.Ackermann.primRec]
n:474 [binder, in additions.Euclidean_Chains]
n:476 [binder, in additions.Euclidean_Chains]
n:476 [binder, in hydras.Gamma0.Gamma0]
n:477 [binder, in gaia_hydras.nfwfgaia]
n:478 [binder, in hydras.Ackermann.primRec]
n:478 [binder, in additions.Euclidean_Chains]
n:479 [binder, in hydras.Ackermann.primRec]
n:479 [binder, in hydras.Gamma0.Gamma0]
n:48 [binder, in hydras.Prelude.Iterates]
n:48 [binder, in hydras.MoreAck.AckNotPR]
n:48 [binder, in hydras.Prelude.Fuel]
n:48 [binder, in hydras.OrdinalNotations.OmegaOmega]
n:48 [binder, in hydras.Ackermann.codeList]
n:48 [binder, in hydras.Ackermann.folLogic3]
n:48 [binder, in gaia_hydras.nfwfgaia]
n:480 [binder, in gaia_hydras.nfwfgaia]
n:483 [binder, in gaia_hydras.nfwfgaia]
n:486 [binder, in hydras.Ackermann.primRec]
n:486 [binder, in gaia_hydras.nfwfgaia]
n:488 [binder, in hydras.Gamma0.Gamma0]
n:489 [binder, in gaia_hydras.nfwfgaia]
n:49 [binder, in hydras.Epsilon0.Hessenberg]
n:49 [binder, in hydras.Ackermann.codeSubFormula]
n:49 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
n:49 [binder, in hydras.Prelude.Fuel]
n:49 [binder, in hydras.MoreAck.Ack]
n:49 [binder, in hydras.Ackermann.primRec]
n:49 [binder, in hydras.Ackermann.Languages]
n:491 [binder, in hydras.Ackermann.primRec]
n:494 [binder, in hydras.Epsilon0.T1]
n:495 [binder, in hydras.Epsilon0.T1]
n:496 [binder, in hydras.Ackermann.primRec]
n:496 [binder, in gaia_hydras.nfwfgaia]
n:497 [binder, in hydras.Gamma0.Gamma0]
n:499 [binder, in gaia_hydras.nfwfgaia]
n:5 [binder, in hydras.Schutte.Correctness_E0]
n:5 [binder, in additions.Fib2]
n:5 [binder, in hydras.Prelude.More_Arith]
n:5 [binder, in hydras.MoreAck.expressibleExamples]
n:5 [binder, in hydras.Ackermann.NN2PA]
n:5 [binder, in additions.FirstSteps]
n:5 [binder, in hydras.MoreAck.Iterate_compat]
n:5 [binder, in hydras.Prelude.Fuel]
n:5 [binder, in hydras.solutions_exercises.FibonacciPR]
n:5 [binder, in hydras.Ackermann.primRec]
n:5 [binder, in hydras.Ackermann.codeNatToTerm]
n:5 [binder, in hydras.Ackermann.wConsistent]
n:5 [binder, in hydras.solutions_exercises.isqrt]
n:50 [binder, in additions.FirstSteps]
n:50 [binder, in hydras.Epsilon0.F_alpha]
n:50 [binder, in hydras.Ackermann.folProp]
n:50 [binder, in hydras.Ackermann.codeSubFormula]
n:50 [binder, in hydras.solutions_exercises.MultisetWf]
n:50 [binder, in hydras.MoreAck.Ack]
n:50 [binder, in gaia_hydras.nfwfgaia]
n:50 [binder, in hydras.Prelude.MoreVectors]
n:501 [binder, in hydras.Ackermann.primRec]
n:501 [binder, in gaia_hydras.nfwfgaia]
n:503 [binder, in hydras.Epsilon0.T1]
n:505 [binder, in hydras.Ackermann.primRec]
n:506 [binder, in hydras.Epsilon0.T1]
n:508 [binder, in hydras.Epsilon0.T1]
n:51 [binder, in Goedel.PRrepresentable]
n:51 [binder, in hydras.Prelude.Iterates]
n:51 [binder, in hydras.Ackermann.codeSubFormula]
n:51 [binder, in hydras.MoreAck.Ack]
n:51 [binder, in hydras.Ackermann.wellFormed]
n:51 [binder, in gaia_hydras.nfwfgaia]
n:51 [binder, in hydras.Ackermann.expressible]
n:511 [binder, in hydras.Epsilon0.T1]
n:511 [binder, in hydras.Epsilon0.Paths]
n:516 [binder, in gaia_hydras.nfwfgaia]
n:517 [binder, in hydras.Epsilon0.T1]
n:517 [binder, in hydras.Epsilon0.Paths]
n:518 [binder, in hydras.Ackermann.checkPrf]
n:518 [binder, in gaia_hydras.nfwfgaia]
n:52 [binder, in hydras.Epsilon0.T1]
n:52 [binder, in hydras.OrdinalNotations.ON_Omega2]
n:52 [binder, in hydras.Ackermann.model]
n:52 [binder, in hydras.Ackermann.subProp]
n:52 [binder, in hydras.Ackermann.codeSubFormula]
n:52 [binder, in hydras.MoreAck.Ack]
n:52 [binder, in gaia_hydras.T1Bridge]
n:521 [binder, in gaia_hydras.nfwfgaia]
n:523 [binder, in hydras.Epsilon0.T1]
n:523 [binder, in hydras.Gamma0.Gamma0]
n:523 [binder, in gaia_hydras.nfwfgaia]
n:527 [binder, in hydras.Epsilon0.T1]
n:529 [binder, in hydras.Epsilon0.T1]
n:53 [binder, in hydras.rpo.more_list]
n:53 [binder, in hydras.Epsilon0.F_alpha]
n:53 [binder, in hydras.MoreAck.AckNotPR]
n:53 [binder, in hydras.Ackermann.codeSubFormula]
n:53 [binder, in hydras.OrdinalNotations.OmegaOmega]
n:53 [binder, in hydras.Ackermann.fol]
n:53 [binder, in hydras.Ackermann.codeList]
n:53 [binder, in hydras.Epsilon0.Paths]
n:530 [binder, in gaia_hydras.nfwfgaia]
n:531 [binder, in gaia_hydras.nfwfgaia]
n:532 [binder, in hydras.Epsilon0.T1]
n:535 [binder, in hydras.Gamma0.Gamma0]
n:537 [binder, in hydras.Ackermann.checkPrf]
n:538 [binder, in hydras.Ackermann.primRec]
n:539 [binder, in hydras.Epsilon0.T1]
n:54 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:54 [binder, in additions.Pow_variant]
n:54 [binder, in additions.Pow]
n:54 [binder, in hydras.Ackermann.codeSubFormula]
n:54 [binder, in hydras.MoreAck.Ack]
n:54 [binder, in hydras.Ackermann.folLogic3]
n:54 [binder, in hydras.Hydra.Hydra_Lemmas]
n:54 [binder, in hydras.Schutte.Addition]
n:543 [binder, in hydras.Epsilon0.T1]
n:543 [binder, in hydras.Gamma0.Gamma0]
n:543 [binder, in gaia_hydras.nfwfgaia]
n:544 [binder, in gaia_hydras.nfwfgaia]
n:545 [binder, in hydras.Epsilon0.T1]
n:545 [binder, in hydras.Ackermann.primRec]
n:548 [binder, in hydras.Ackermann.primRec]
n:548 [binder, in gaia_hydras.nfwfgaia]
n:55 [binder, in Goedel.PRrepresentable]
n:55 [binder, in hydras.Prelude.More_Arith]
n:55 [binder, in hydras.Prelude.Iterates]
n:55 [binder, in hydras.Ackermann.codeSubFormula]
n:55 [binder, in hydras.Ackermann.folLogic3]
n:55 [binder, in Goedel.rosser]
n:55 [binder, in gaia_hydras.nfwfgaia]
n:550 [binder, in hydras.Epsilon0.T1]
n:550 [binder, in hydras.Epsilon0.Paths]
n:552 [binder, in hydras.Epsilon0.T1]
n:554 [binder, in hydras.Epsilon0.T1]
n:556 [binder, in hydras.Epsilon0.T1]
n:556 [binder, in gaia_hydras.nfwfgaia]
n:557 [binder, in hydras.Gamma0.Gamma0]
n:558 [binder, in hydras.Epsilon0.Paths]
n:559 [binder, in hydras.Epsilon0.T1]
n:559 [binder, in hydras.Ackermann.primRec]
n:559 [binder, in gaia_hydras.nfwfgaia]
n:56 [binder, in hydras.Ackermann.model]
n:56 [binder, in hydras.MoreAck.AckNotPR]
n:56 [binder, in hydras.Ackermann.codeSubFormula]
n:56 [binder, in hydras.OrdinalNotations.OmegaOmega]
n:56 [binder, in hydras.Ackermann.fol]
n:56 [binder, in hydras.Ackermann.codeList]
n:56 [binder, in hydras.Prelude.MoreVectors]
n:561 [binder, in hydras.Gamma0.Gamma0]
n:561 [binder, in gaia_hydras.nfwfgaia]
n:562 [binder, in hydras.Ackermann.primRec]
n:563 [binder, in hydras.Epsilon0.T1]
n:563 [binder, in hydras.Epsilon0.Paths]
n:563 [binder, in gaia_hydras.nfwfgaia]
n:565 [binder, in hydras.Ackermann.primRec]
n:567 [binder, in hydras.Ackermann.primRec]
n:568 [binder, in hydras.Gamma0.Gamma0]
n:569 [binder, in hydras.Epsilon0.T1]
n:57 [binder, in hydras.Ackermann.subProp]
n:57 [binder, in hydras.MoreAck.Ack]
n:57 [binder, in gaia_hydras.T1Bridge]
n:57 [binder, in hydras.Epsilon0.Canon]
n:57 [binder, in hydras.Ackermann.folLogic3]
n:57 [binder, in Goedel.rosser]
n:57 [binder, in gaia_hydras.nfwfgaia]
n:572 [binder, in hydras.Epsilon0.Paths]
n:573 [binder, in hydras.Gamma0.Gamma0]
n:574 [binder, in hydras.Epsilon0.T1]
n:577 [binder, in hydras.Ackermann.primRec]
n:578 [binder, in hydras.Epsilon0.T1]
n:58 [binder, in hydras.OrdinalNotations.ON_Omega2]
n:58 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:58 [binder, in hydras.MoreAck.AckNotPR]
n:58 [binder, in hydras.Ackermann.primRec]
n:58 [binder, in hydras.Ackermann.fol]
n:584 [binder, in hydras.Epsilon0.Paths]
n:589 [binder, in hydras.Ackermann.checkPrf]
n:589 [binder, in hydras.Gamma0.Gamma0]
n:59 [binder, in Goedel.PRrepresentable]
n:59 [binder, in hydras.Schutte.Critical]
n:59 [binder, in hydras.MoreAck.Ack]
n:59 [binder, in Goedel.rosserPA]
n:59 [binder, in hydras.Ackermann.wellFormed]
n:59 [binder, in hydras.Ackermann.codeList]
n:59 [binder, in hydras.Hydra.Hydra_Lemmas]
n:595 [binder, in hydras.Epsilon0.T1]
n:598 [binder, in hydras.Epsilon0.T1]
n:598 [binder, in hydras.Gamma0.Gamma0]
n:6 [binder, in hydras.Epsilon0.T1]
n:6 [binder, in additions.Fib2]
n:6 [binder, in gaia_hydras.GF_alpha]
n:6 [binder, in hydras.MoreAck.expressibleExamples]
n:6 [binder, in Goedel.fixPoint]
n:6 [binder, in hydras.Ackermann.PAtheory]
n:6 [binder, in hydras.Ackermann.subProp]
n:6 [binder, in hydras.Ackermann.codeSubFormula]
n:6 [binder, in hydras.solutions_exercises.OnCodeList]
n:6 [binder, in hydras.Schutte.AP]
n:6 [binder, in additions.Naive]
n:6 [binder, in hydras.Ackermann.codeList]
n:6 [binder, in hydras.Hydra.Hydra_Lemmas]
n:6 [binder, in hydras.Prelude.Exp2]
n:6 [binder, in hydras.Epsilon0.Paths]
n:6 [binder, in hydras.Hydra.Omega_Small]
n:6 [binder, in gaia_hydras.nfwfgaia]
n:6 [binder, in hydras.Schutte.Countable]
n:6 [binder, in hydras.Prelude.MoreVectors]
n:60 [binder, in hydras.Epsilon0.Epsilon0rpo]
n:60 [binder, in hydras.solutions_exercises.MultisetWf]
n:60 [binder, in hydras.Ackermann.code]
n:60 [binder, in hydras.Ackermann.expressible]
n:600 [binder, in hydras.Ackermann.primRec]
n:602 [binder, in hydras.Epsilon0.T1]
n:603 [binder, in gaia_hydras.nfwfgaia]
n:605 [binder, in hydras.Ackermann.primRec]
n:606 [binder, in hydras.Epsilon0.T1]
n:608 [binder, in hydras.Ackermann.primRec]
n:608 [binder, in gaia_hydras.nfwfgaia]
n:61 [binder, in hydras.Ackermann.subAll]
n:61 [binder, in hydras.rpo.more_list]
n:61 [binder, in hydras.MoreAck.AckNotPR]
n:61 [binder, in Goedel.rosserPA]
n:61 [binder, in hydras.Ackermann.wellFormed]
n:61 [binder, in Goedel.rosser]
n:61 [binder, in gaia_hydras.nfwfgaia]
n:610 [binder, in hydras.Epsilon0.T1]
n:611 [binder, in hydras.Ackermann.primRec]
n:613 [binder, in hydras.Epsilon0.T1]
n:616 [binder, in hydras.Epsilon0.T1]
n:616 [binder, in hydras.Ackermann.primRec]
n:618 [binder, in hydras.Ackermann.checkPrf]
n:619 [binder, in hydras.Epsilon0.T1]
n:62 [binder, in hydras.Schutte.Correctness_E0]
n:62 [binder, in hydras.Ackermann.subAll]
n:62 [binder, in hydras.rpo.more_list]
n:62 [binder, in additions.Pow_variant]
n:62 [binder, in hydras.Ackermann.model]
n:62 [binder, in additions.Pow]
n:62 [binder, in hydras.Ackermann.subProp]
n:62 [binder, in hydras.Prelude.Fuel]
n:62 [binder, in hydras.Ackermann.code]
n:62 [binder, in gaia_hydras.T1Bridge]
n:62 [binder, in hydras.Ackermann.codeList]
n:62 [binder, in hydras.Ackermann.Languages]
n:620 [binder, in hydras.Ackermann.primRec]
n:622 [binder, in hydras.Epsilon0.T1]
n:627 [binder, in hydras.Epsilon0.T1]
n:627 [binder, in gaia_hydras.nfwfgaia]
n:63 [binder, in Goedel.PRrepresentable]
n:63 [binder, in hydras.solutions_exercises.MultisetWf]
n:63 [binder, in hydras.Ackermann.folLogic3]
n:63 [binder, in Goedel.rosser]
n:63 [binder, in hydras.Schutte.Addition]
n:63 [binder, in hydras.Prelude.MoreVectors]
n:631 [binder, in hydras.Ackermann.primRec]
n:632 [binder, in hydras.Gamma0.Gamma0]
n:634 [binder, in hydras.Ackermann.primRec]
n:635 [binder, in hydras.Gamma0.Gamma0]
n:639 [binder, in hydras.Epsilon0.T1]
n:639 [binder, in hydras.Ackermann.primRec]
n:639 [binder, in hydras.Gamma0.Gamma0]
n:64 [binder, in hydras.OrdinalNotations.ON_Omega2]
n:64 [binder, in hydras.MoreAck.Ack]
n:64 [binder, in hydras.Ackermann.Languages]
n:64 [binder, in hydras.Ackermann.expressible]
n:641 [binder, in hydras.Epsilon0.T1]
n:642 [binder, in hydras.Gamma0.Gamma0]
n:643 [binder, in hydras.Epsilon0.T1]
n:645 [binder, in hydras.Ackermann.primRec]
n:647 [binder, in hydras.Gamma0.Gamma0]
n:649 [binder, in hydras.Ackermann.checkPrf]
n:65 [binder, in hydras.Epsilon0.T1]
n:65 [binder, in hydras.Ackermann.subAll]
n:65 [binder, in hydras.rpo.more_list]
n:65 [binder, in additions.Pow_variant]
n:65 [binder, in additions.Pow]
n:65 [binder, in hydras.Schutte.Critical]
n:65 [binder, in hydras.solutions_exercises.MultisetWf]
n:65 [binder, in Goedel.rosserPA]
n:65 [binder, in hydras.Ackermann.codeList]
n:65 [binder, in hydras.rpo.list_permut]
n:650 [binder, in hydras.Ackermann.primRec]
n:651 [binder, in hydras.Gamma0.Gamma0]
n:652 [binder, in gaia_hydras.nfwfgaia]
n:654 [binder, in hydras.Gamma0.Gamma0]
n:656 [binder, in hydras.Ackermann.primRec]
n:658 [binder, in hydras.Epsilon0.T1]
n:659 [binder, in hydras.Gamma0.Gamma0]
n:66 [binder, in hydras.Schutte.Correctness_E0]
n:66 [binder, in hydras.Prelude.MoreLists]
n:66 [binder, in hydras.Epsilon0.Hessenberg]
n:66 [binder, in hydras.Schutte.Critical]
n:66 [binder, in additions.Euclidean_Chains]
n:66 [binder, in hydras.rpo.list_permut]
n:66 [binder, in hydras.Schutte.Addition]
n:663 [binder, in hydras.Ackermann.primRec]
n:664 [binder, in hydras.Gamma0.Gamma0]
n:667 [binder, in gaia_hydras.nfwfgaia]
n:668 [binder, in gaia_hydras.nfwfgaia]
n:67 [binder, in Goedel.PRrepresentable]
n:67 [binder, in hydras.Epsilon0.F_alpha]
n:67 [binder, in gaia_hydras.GPaths]
n:67 [binder, in hydras.MoreAck.Ack]
n:67 [binder, in gaia_hydras.T1Bridge]
n:67 [binder, in hydras.Ackermann.primRec]
n:67 [binder, in gaia_hydras.nfwfgaia]
n:67 [binder, in hydras.Hydra.Hydra_Definitions]
n:670 [binder, in hydras.Ackermann.primRec]
n:671 [binder, in gaia_hydras.nfwfgaia]
n:674 [binder, in hydras.Epsilon0.T1]
n:674 [binder, in hydras.Ackermann.primRec]
n:678 [binder, in hydras.Epsilon0.T1]
n:68 [binder, in hydras.Ackermann.subAll]
n:68 [binder, in additions.Pow_variant]
n:68 [binder, in additions.Pow]
n:68 [binder, in hydras.Ackermann.codeList]
n:68 [binder, in hydras.Schutte.Addition]
n:680 [binder, in hydras.Gamma0.Gamma0]
n:681 [binder, in hydras.Ackermann.primRec]
n:683 [binder, in hydras.Gamma0.Gamma0]
n:683 [binder, in gaia_hydras.nfwfgaia]
n:685 [binder, in hydras.Ackermann.primRec]
n:688 [binder, in hydras.Gamma0.Gamma0]
n:69 [binder, in additions.Addition_Chains]
n:69 [binder, in gaia_hydras.nfwfgaia]
n:69 [binder, in hydras.Ackermann.expressible]
n:691 [binder, in hydras.Gamma0.Gamma0]
n:7 [binder, in additions.Fib2]
n:7 [binder, in hydras.Ackermann.extEqualNat]
n:7 [binder, in hydras.Prelude.MoreLists]
n:7 [binder, in hydras.MoreAck.expressibleExamples]
n:7 [binder, in additions.Pow_variant]
n:7 [binder, in hydras.Ackermann.model]
n:7 [binder, in additions.Pow]
n:7 [binder, in additions.More_on_positive]
n:7 [binder, in hydras.solutions_exercises.MultisetWf]
n:7 [binder, in hydras.Prelude.Fuel]
n:7 [binder, in hydras.MoreAck.Ack]
n:7 [binder, in hydras.Ackermann.primRec]
n:7 [binder, in gaia_hydras.ON_gfinite]
n:7 [binder, in hydras.OrdinalNotations.ON_Finite]
n:7 [binder, in hydras.Prelude.Exp2]
n:7 [binder, in hydras.solutions_exercises.isqrt]
n:7 [binder, in hydras.Gamma0.Gamma0]
n:7 [binder, in hydras.Schutte.Addition]
n:70 [binder, in hydras.Prelude.Iterates]
n:70 [binder, in additions.Pow_variant]
n:70 [binder, in gaia_hydras.GPaths]
n:70 [binder, in additions.Pow]
n:70 [binder, in hydras.Ackermann.folProp]
n:70 [binder, in hydras.MoreAck.Ack]
n:70 [binder, in Goedel.rosserPA]
n:70 [binder, in hydras.Schutte.Addition]
n:702 [binder, in gaia_hydras.nfwfgaia]
n:707 [binder, in hydras.Ackermann.primRec]
n:708 [binder, in gaia_hydras.nfwfgaia]
n:709 [binder, in hydras.Ackermann.primRec]
n:71 [binder, in Goedel.PRrepresentable]
n:71 [binder, in hydras.Prelude.MoreLists]
n:71 [binder, in hydras.Ackermann.folProp]
n:71 [binder, in hydras.Schutte.Critical]
n:71 [binder, in hydras.Ackermann.codeList]
n:71 [binder, in gaia_hydras.nfwfgaia]
n:712 [binder, in hydras.Gamma0.Gamma0]
n:712 [binder, in gaia_hydras.nfwfgaia]
n:714 [binder, in hydras.Epsilon0.T1]
n:72 [binder, in hydras.Epsilon0.T1]
n:72 [binder, in hydras.Epsilon0.F_alpha]
n:72 [binder, in hydras.Ackermann.folProp]
n:72 [binder, in hydras.Schutte.Critical]
n:72 [binder, in hydras.MoreAck.Ack]
n:72 [binder, in hydras.Hydra.BigBattle]
n:72 [binder, in hydras.rpo.list_permut]
n:720 [binder, in hydras.Epsilon0.T1]
n:723 [binder, in hydras.Epsilon0.T1]
n:724 [binder, in gaia_hydras.nfwfgaia]
n:73 [binder, in additions.Pow]
n:73 [binder, in hydras.Epsilon0.Hessenberg]
n:73 [binder, in gaia_hydras.T1Bridge]
n:73 [binder, in hydras.Ackermann.primRec]
n:73 [binder, in hydras.Hydra.BigBattle]
n:73 [binder, in hydras.Ackermann.codeList]
n:73 [binder, in hydras.rpo.list_permut]
n:73 [binder, in hydras.Schutte.Addition]
n:736 [binder, in gaia_hydras.nfwfgaia]
n:74 [binder, in hydras.Prelude.Iterates]
n:74 [binder, in hydras.Prelude.MoreLists]
n:74 [binder, in hydras.Epsilon0.F_alpha]
n:74 [binder, in additions.Pow_variant]
n:74 [binder, in hydras.Ackermann.model]
n:74 [binder, in hydras.MoreAck.Ack]
n:74 [binder, in gaia_hydras.nfwfgaia]
n:748 [binder, in gaia_hydras.nfwfgaia]
n:75 [binder, in hydras.rpo.more_list]
n:75 [binder, in hydras.Ackermann.LNN2LNT]
n:75 [binder, in hydras.Ackermann.subProp]
n:75 [binder, in hydras.solutions_exercises.MultisetWf]
n:75 [binder, in hydras.Ackermann.primRec]
n:75 [binder, in hydras.Hydra.BigBattle]
n:75 [binder, in hydras.Ackermann.codeList]
n:75 [binder, in hydras.Epsilon0.Hprime]
n:75 [binder, in gaia_hydras.nfwfgaia]
n:750 [binder, in gaia_hydras.nfwfgaia]
n:753 [binder, in gaia_hydras.nfwfgaia]
n:755 [binder, in gaia_hydras.nfwfgaia]
n:756 [binder, in hydras.Epsilon0.T1]
n:757 [binder, in gaia_hydras.nfwfgaia]
n:759 [binder, in gaia_hydras.nfwfgaia]
n:76 [binder, in hydras.Ackermann.subAll]
n:76 [binder, in hydras.Prelude.MoreLists]
n:76 [binder, in hydras.MoreAck.AckNotPR]
n:76 [binder, in hydras.MoreAck.Ack]
n:76 [binder, in Goedel.codeSysPrf]
n:76 [binder, in gaia_hydras.nfwfgaia]
n:76 [binder, in hydras.Hydra.Hydra_Definitions]
n:764 [binder, in gaia_hydras.nfwfgaia]
n:767 [binder, in gaia_hydras.nfwfgaia]
n:769 [binder, in gaia_hydras.nfwfgaia]
n:77 [binder, in hydras.Gamma0.T2]
n:77 [binder, in gaia_hydras.GPaths]
n:77 [binder, in hydras.Ackermann.model]
n:77 [binder, in additions.Pow]
n:77 [binder, in hydras.Ackermann.codeList]
n:77 [binder, in hydras.Epsilon0.Hprime]
n:78 [binder, in hydras.Epsilon0.T1]
n:78 [binder, in Goedel.PRrepresentable]
n:78 [binder, in hydras.Prelude.Iterates]
n:78 [binder, in hydras.Ackermann.codeSubFormula]
n:78 [binder, in gaia_hydras.nfwfgaia]
n:780 [binder, in gaia_hydras.nfwfgaia]
n:784 [binder, in gaia_hydras.nfwfgaia]
n:787 [binder, in gaia_hydras.nfwfgaia]
n:79 [binder, in additions.AM]
n:79 [binder, in hydras.Prelude.MoreLists]
n:79 [binder, in hydras.MoreAck.Ack]
n:79 [binder, in gaia_hydras.T1Bridge]
n:79 [binder, in hydras.Ackermann.codeList]
n:79 [binder, in gaia_hydras.nfwfgaia]
n:795 [binder, in gaia_hydras.nfwfgaia]
n:796 [binder, in hydras.Ackermann.checkPrf]
n:8 [binder, in hydras.Epsilon0.T1]
n:8 [binder, in hydras.MoreAck.expressibleExamples]
n:8 [binder, in hydras.solutions_exercises.FibonacciPR]
n:8 [binder, in hydras.Hydra.BigBattle]
n:8 [binder, in additions.Naive]
n:8 [binder, in hydras.Ackermann.codeList]
n:80 [binder, in hydras.Gamma0.T2]
n:80 [binder, in hydras.Epsilon0.F_alpha]
n:80 [binder, in hydras.MoreAck.AckNotPR]
n:80 [binder, in hydras.Ackermann.subProp]
n:80 [binder, in hydras.MoreAck.Ack]
n:802 [binder, in hydras.Ackermann.checkPrf]
n:802 [binder, in gaia_hydras.nfwfgaia]
n:806 [binder, in hydras.Ackermann.checkPrf]
n:806 [binder, in gaia_hydras.nfwfgaia]
n:81 [binder, in hydras.Hydra.O2H]
n:81 [binder, in hydras.Ackermann.LNN2LNT]
n:81 [binder, in additions.Pow_variant]
n:81 [binder, in hydras.Ackermann.model]
n:81 [binder, in hydras.Ackermann.codeList]
n:81 [binder, in hydras.Epsilon0.Hprime]
n:81 [binder, in gaia_hydras.nfwfgaia]
n:81 [binder, in hydras.Prelude.MoreVectors]
n:810 [binder, in hydras.Ackermann.checkPrf]
n:82 [binder, in Goedel.PRrepresentable]
n:82 [binder, in hydras.Epsilon0.F_alpha]
n:82 [binder, in hydras.Ackermann.folProp]
n:82 [binder, in gaia_hydras.T1Bridge]
n:82 [binder, in gaia_hydras.nfwfgaia]
n:820 [binder, in hydras.Ackermann.primRec]
n:821 [binder, in hydras.Ackermann.primRec]
n:824 [binder, in hydras.Ackermann.primRec]
n:825 [binder, in hydras.Ackermann.codeSubFormula]
n:829 [binder, in hydras.Ackermann.codeSubFormula]
n:83 [binder, in hydras.Epsilon0.T1]
n:83 [binder, in additions.Pow_variant]
n:83 [binder, in additions.Pow]
n:83 [binder, in hydras.Ackermann.folProp]
n:83 [binder, in hydras.MoreAck.Ack]
n:83 [binder, in hydras.Ackermann.codeList]
n:83 [binder, in gaia_hydras.nfwfgaia]
n:834 [binder, in gaia_hydras.nfwfgaia]
n:836 [binder, in hydras.Ackermann.codeSubFormula]
n:839 [binder, in hydras.Ackermann.codeSubFormula]
n:84 [binder, in hydras.Epsilon0.F_alpha]
n:84 [binder, in hydras.MoreAck.Ack]
n:84 [binder, in hydras.Epsilon0.Canon]
n:844 [binder, in hydras.Ackermann.checkPrf]
n:844 [binder, in gaia_hydras.nfwfgaia]
n:85 [binder, in hydras.Ackermann.subAll]
n:85 [binder, in hydras.Prelude.Iterates]
n:85 [binder, in additions.Pow_variant]
n:85 [binder, in additions.Pow]
n:85 [binder, in hydras.MoreAck.AckNotPR]
n:85 [binder, in hydras.Ackermann.subProp]
n:85 [binder, in Goedel.rosserPA]
n:85 [binder, in hydras.Ackermann.primRec]
n:85 [binder, in hydras.Ackermann.codeList]
n:85 [binder, in gaia_hydras.nfwfgaia]
n:858 [binder, in hydras.Ackermann.checkPrf]
n:86 [binder, in Goedel.PRrepresentable]
n:86 [binder, in hydras.Prelude.MoreLists]
n:86 [binder, in hydras.Epsilon0.F_alpha]
n:86 [binder, in hydras.Prelude.MoreVectors]
n:862 [binder, in gaia_hydras.nfwfgaia]
n:863 [binder, in hydras.Ackermann.checkPrf]
n:867 [binder, in hydras.Ackermann.codeSubFormula]
n:867 [binder, in gaia_hydras.nfwfgaia]
n:87 [binder, in hydras.Hydra.O2H]
n:87 [binder, in hydras.Ackermann.LNN2LNT]
n:87 [binder, in additions.Pow_variant]
n:87 [binder, in Goedel.rosserPA]
n:87 [binder, in hydras.Ackermann.codeList]
n:870 [binder, in hydras.Ackermann.codeSubFormula]
n:873 [binder, in hydras.Ackermann.codeSubFormula]
n:877 [binder, in hydras.Ackermann.codeSubFormula]
n:88 [binder, in hydras.Epsilon0.T1]
n:88 [binder, in hydras.Ackermann.primRec]
n:88 [binder, in hydras.Ackermann.codeList]
n:88 [binder, in gaia_hydras.nfwfgaia]
n:881 [binder, in hydras.Ackermann.codeSubFormula]
n:89 [binder, in hydras.Gamma0.T2]
n:89 [binder, in hydras.Ackermann.subAll]
n:89 [binder, in hydras.Ackermann.codeList]
n:89 [binder, in gaia_hydras.nfwfgaia]
n:891 [binder, in hydras.Ackermann.codeSubFormula]
n:891 [binder, in gaia_hydras.nfwfgaia]
n:894 [binder, in hydras.Ackermann.codeSubFormula]
n:9 [binder, in hydras.Ackermann.folProof]
n:9 [binder, in hydras.Schutte.Correctness_E0]
n:9 [binder, in hydras.Gamma0.T2]
n:9 [binder, in hydras.Prelude.More_Arith]
n:9 [binder, in hydras.Prelude.Iterates]
n:9 [binder, in hydras.Prelude.Compat815]
n:9 [binder, in hydras.Ackermann.LNN2LNT]
n:9 [binder, in Goedel.fixPoint]
n:9 [binder, in hydras.Epsilon0.Hessenberg]
n:9 [binder, in additions.More_on_positive]
n:9 [binder, in hydras.MoreAck.AckNotPR]
n:9 [binder, in hydras.Ackermann.codeSubFormula]
n:9 [binder, in hydras.Prelude.Fuel]
n:9 [binder, in hydras.solutions_exercises.MorePRExamples]
n:9 [binder, in hydras.Hydra.Hydra_Termination]
n:9 [binder, in hydras.Hydra.BigBattle]
n:9 [binder, in hydras.Ackermann.wellFormed]
n:9 [binder, in hydras.Epsilon0.Canon]
n:9 [binder, in additions.fib]
n:9 [binder, in hydras.solutions_exercises.F_3]
n:9 [binder, in gaia_hydras.nfwfgaia]
n:9 [binder, in hydras.Schutte.Countable]
n:90 [binder, in Goedel.PRrepresentable]
n:90 [binder, in hydras.Epsilon0.F_alpha]
n:90 [binder, in additions.Pow]
n:90 [binder, in hydras.MoreAck.AckNotPR]
n:90 [binder, in hydras.Ackermann.folLogic3]
n:90 [binder, in hydras.Prelude.MoreVectors]
n:904 [binder, in gaia_hydras.nfwfgaia]
n:907 [binder, in hydras.Ackermann.codeSubFormula]
n:91 [binder, in Goedel.rosserPA]
n:91 [binder, in hydras.Epsilon0.E0]
n:91 [binder, in hydras.Ackermann.codeList]
n:91 [binder, in hydras.Hydra.Hydra_Definitions]
n:910 [binder, in hydras.Ackermann.codeSubFormula]
n:912 [binder, in gaia_hydras.nfwfgaia]
n:913 [binder, in hydras.Ackermann.codeSubFormula]
n:918 [binder, in hydras.Ackermann.codeSubFormula]
n:92 [binder, in hydras.Gamma0.T2]
n:92 [binder, in hydras.Epsilon0.F_alpha]
n:92 [binder, in hydras.MoreAck.AckNotPR]
n:92 [binder, in hydras.Ackermann.fol]
n:92 [binder, in hydras.Ackermann.folLogic3]
n:92 [binder, in Goedel.codeSysPrf]
n:923 [binder, in hydras.Ackermann.codeSubFormula]
n:93 [binder, in hydras.Epsilon0.T1]
n:93 [binder, in hydras.Ackermann.LNN2LNT]
n:93 [binder, in additions.Pow]
n:93 [binder, in hydras.Ackermann.primRec]
n:93 [binder, in hydras.Ackermann.codeList]
n:93 [binder, in hydras.Prelude.MoreVectors]
n:934 [binder, in hydras.Ackermann.codeSubFormula]
n:936 [binder, in gaia_hydras.nfwfgaia]
n:937 [binder, in hydras.Ackermann.codeSubFormula]
n:94 [binder, in Goedel.PRrepresentable]
n:94 [binder, in hydras.MoreAck.AckNotPR]
n:941 [binder, in gaia_hydras.nfwfgaia]
n:946 [binder, in gaia_hydras.nfwfgaia]
n:95 [binder, in hydras.Ackermann.subAll]
n:95 [binder, in hydras.Ackermann.fol]
n:95 [binder, in hydras.Ackermann.codeList]
n:95 [binder, in hydras.MoreAck.PrimRecExamples]
n:950 [binder, in gaia_hydras.nfwfgaia]
n:952 [binder, in gaia_hydras.nfwfgaia]
n:96 [binder, in additions.Pow]
n:96 [binder, in Goedel.rosserPA]
n:96 [binder, in hydras.Ackermann.folLogic3]
n:96 [binder, in hydras.Hydra.Hydra_Definitions]
n:967 [binder, in gaia_hydras.nfwfgaia]
n:969 [binder, in gaia_hydras.nfwfgaia]
n:97 [binder, in hydras.Prelude.MoreLists]
n:97 [binder, in hydras.Epsilon0.F_alpha]
n:97 [binder, in additions.Pow_variant]
n:97 [binder, in hydras.MoreAck.AckNotPR]
n:97 [binder, in hydras.Ackermann.subProp]
n:97 [binder, in hydras.Ackermann.primRec]
n:97 [binder, in hydras.Ackermann.codeList]
n:97 [binder, in gaia_hydras.nfwfgaia]
n:971 [binder, in gaia_hydras.nfwfgaia]
n:975 [binder, in gaia_hydras.nfwfgaia]
n:979 [binder, in gaia_hydras.nfwfgaia]
n:98 [binder, in hydras.Epsilon0.T1]
n:98 [binder, in hydras.Gamma0.T2]
n:98 [binder, in hydras.Ackermann.codeList]
n:98 [binder, in hydras.Epsilon0.Hprime]
n:985 [binder, in gaia_hydras.nfwfgaia]
n:987 [binder, in gaia_hydras.nfwfgaia]
n:99 [binder, in hydras.Epsilon0.F_alpha]
n:99 [binder, in hydras.Ackermann.subProp]
n:99 [binder, in hydras.Ackermann.codeList]
n:99 [binder, in hydras.Prelude.MoreVectors]

O

OA_given [section, in hydras.OrdinalNotations.ON_O]
OA:109 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:124 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:136 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:149 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:162 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:174 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:187 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:201 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:32 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:5 [binder, in hydras.OrdinalNotations.ON_O]
OA:51 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:70 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:84 [binder, in hydras.OrdinalNotations.ON_Generic]
OA:96 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:100 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:113 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:128 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:140 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:153 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:166 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:178 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:191 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:205 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:36 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:55 [binder, in hydras.OrdinalNotations.ON_Generic]
OB:88 [binder, in hydras.OrdinalNotations.ON_Generic]
of_image [lemma, in hydras.Schutte.Ordering_Functions]
of_beta' [lemma, in hydras.Schutte.Ordering_Functions]
OF_mono [projection, in hydras.Schutte.Ordering_Functions]
OF_onto [projection, in hydras.Schutte.Ordering_Functions]
OF_total [projection, in hydras.Schutte.Ordering_Functions]
OF_segment [projection, in hydras.Schutte.Ordering_Functions]
of_u [lemma, in hydras.Schutte.Addition]
of_g [lemma, in hydras.Schutte.Addition]
OK [definition, in additions.AM]
Ok [constructor, in hydras.Epsilon0.Large_Sets_Examples]
OK [definition, in additions.Euclidean_Chains]
OK87 [lemma, in additions.Euclidean_Chains]
Olt [instance, in hydras.Epsilon0.F_alpha]
Olt [instance, in hydras.Epsilon0.L_alpha]
Olt [instance, in hydras.Epsilon0.Hprime]
ol'':40 [binder, in hydras.Schutte.CNF]
ol'':45 [binder, in hydras.Schutte.CNF]
ol':30 [binder, in hydras.Schutte.CNF]
ol':34 [binder, in hydras.Schutte.CNF]
ol':37 [binder, in hydras.Schutte.CNF]
ol':39 [binder, in hydras.Schutte.CNF]
ol':43 [binder, in hydras.Schutte.CNF]
ol:29 [binder, in hydras.Schutte.CNF]
ol:33 [binder, in hydras.Schutte.CNF]
ol:35 [binder, in hydras.Schutte.CNF]
ol:38 [binder, in hydras.Schutte.CNF]
ol:41 [binder, in hydras.Schutte.CNF]
omega [abbreviation, in hydras.Epsilon0.T1]
omega [abbreviation, in hydras.OrdinalNotations.ON_Omega2]
omega [abbreviation, in hydras.Gamma0.T2]
omega [abbreviation, in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega [abbreviation, in hydras.Schutte.Schutte_basics]
Omega [instance, in hydras.OrdinalNotations.ON_Omega]
omeganf [lemma, in gaia_hydras.T1Bridge]
OmegaOmega [library]
omega_limit [lemma, in hydras.Epsilon0.T1]
omega_omega [definition, in hydras.Epsilon0.T1]
omega_term_def [lemma, in hydras.Epsilon0.T1]
omega_term_plus_rw [lemma, in hydras.Epsilon0.T1]
omega_tower [definition, in hydras.Epsilon0.T1]
omega_term [definition, in hydras.Epsilon0.T1]
omega_ap [lemma, in hydras.OrdinalNotations.ON_Omega2]
Omega_limit_limitb [lemma, in hydras.OrdinalNotations.ON_Omega2]
omega_is_limit [lemma, in hydras.OrdinalNotations.ON_Omega2]
omega_ex2 [definition, in hydras.Epsilon0.Large_Sets]
omega_ex1 [definition, in hydras.Epsilon0.Large_Sets]
omega_square_thrice_eqn [definition, in hydras.Epsilon0.Large_Sets]
omega_mult_mlarge_0 [lemma, in hydras.Epsilon0.Large_Sets]
omega_tower_mono [lemma, in hydras.Schutte.AP]
omega_eqn [lemma, in hydras.Schutte.AP]
omega_second_AP [lemma, in hydras.Schutte.AP]
omega_tower [definition, in hydras.Schutte.AP]
Omega_as_lub [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_not_succ [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_is_limit [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Omega_plus_Omega [instance, in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_omega_1_3 [definition, in hydras.Epsilon0.Large_Sets_Examples]
omega_omega_1_4 [definition, in hydras.Epsilon0.Large_Sets_Examples]
omega_ref [lemma, in gaia_hydras.T1Bridge]
Omega_limit_Limit [lemma, in hydras.Prelude.MoreOrders]
Omega_limit_not_Succ [lemma, in hydras.Prelude.MoreOrders]
Omega_limit_type [definition, in hydras.Prelude.MoreOrders]
Omega_limit [definition, in hydras.Prelude.MoreOrders]
omega_limit_least_gt [lemma, in hydras.Schutte.Schutte_basics]
omega_limit_least [lemma, in hydras.Schutte.Schutte_basics]
omega_limit [definition, in hydras.Schutte.Schutte_basics]
Omega_term_plus [lemma, in hydras.Epsilon0.E0]
Omega_2 [instance, in hydras.Epsilon0.E0]
Omega_term [instance, in hydras.Epsilon0.E0]
omega_lt_wf [lemma, in gaia_hydras.onType]
omega_ok [instance, in hydras.OrdinalNotations.ON_Omega]
Omega_comp [instance, in hydras.OrdinalNotations.ON_Omega]
omega_lt_epsilon [lemma, in hydras.Gamma0.Gamma0]
omega_lt_epsilon0 [lemma, in hydras.Gamma0.Gamma0]
Omega_Small [library]
Omega2 [instance, in hydras.OrdinalNotations.ON_Omega2]
Omega2_Small [library]
om12 [definition, in gaia_hydras.onType]
om67 [definition, in gaia_hydras.onType]
ON [record, in hydras.OrdinalNotations.ON_Generic]
OnCodeList [library]
ONDef [module, in gaia_hydras.onType]
ONDef.Exports [module, in gaia_hydras.onType]
ONDef.Exports.Lemmas [section, in gaia_hydras.onType]
ONDef.Exports.Lemmas.disp [variable, in gaia_hydras.onType]
ONDef.Exports.Lemmas.U [variable, in gaia_hydras.onType]
ONDef.Exports.ON [abbreviation, in gaia_hydras.onType]
ONDef.Exports.on [abbreviation, in gaia_hydras.onType]
ONDef.Exports.ONMixin [abbreviation, in gaia_hydras.onType]
ONDef.Exports.tricho [definition, in gaia_hydras.onType]
ONDef.Exports.trichoP [lemma, in gaia_hydras.onType]
ONDef.Exports.wf [lemma, in gaia_hydras.onType]
ONDef.Mixin [constructor, in gaia_hydras.onType]
ONDef.mixin_of [record, in gaia_hydras.onType]
ONDef.on_struct [definition, in gaia_hydras.onType]
ONDef.Pack [constructor, in gaia_hydras.onType]
ONDef.Packing [section, in gaia_hydras.onType]
ONDef.Packing.cT [variable, in gaia_hydras.onType]
ONDef.Packing.disp [variable, in gaia_hydras.onType]
ONDef.pack_type [record, in gaia_hydras.onType]
ONDef.type [projection, in gaia_hydras.onType]
one [abbreviation, in hydras.Epsilon0.T1]
one [abbreviation, in hydras.Gamma0.T2]
ONEpsilon0Def [section, in gaia_hydras.onType]
one_ref [lemma, in gaia_hydras.T1Bridge]
one_right [projection, in additions.Monoid_def]
one_left [projection, in additions.Monoid_def]
one_step [inductive, in hydras.Hydra.BigBattle]
one_mod_neutral_r [lemma, in additions.Monoid_instances]
one_mod_neutral_l [lemma, in additions.Monoid_instances]
One_node [constructor, in additions.Addition_Chains]
one_plus_infinite [lemma, in hydras.Schutte.Addition]
one_plus_omega [lemma, in hydras.Schutte.Addition]
one:100 [binder, in additions.AM]
one:103 [binder, in additions.Addition_Chains]
one:105 [binder, in additions.AM]
one:110 [binder, in additions.AM]
one:111 [binder, in additions.Addition_Chains]
one:117 [binder, in additions.Addition_Chains]
one:120 [binder, in additions.AM]
one:124 [binder, in additions.Addition_Chains]
one:125 [binder, in additions.AM]
one:131 [binder, in additions.Addition_Chains]
one:161 [binder, in additions.Addition_Chains]
one:168 [binder, in additions.Addition_Chains]
one:174 [binder, in additions.Addition_Chains]
one:36 [binder, in additions.FirstSteps]
one:37 [binder, in additions.AM]
one:42 [binder, in additions.FirstSteps]
one:43 [binder, in additions.AM]
one:54 [binder, in additions.AM]
one:59 [binder, in additions.Monoid_def]
one:61 [binder, in additions.AM]
one:63 [binder, in additions.Monoid_def]
one:74 [binder, in additions.AM]
one:8 [binder, in additions.Monoid_def]
one:84 [binder, in additions.AM]
one:95 [binder, in additions.AM]
onFiniteDef [section, in gaia_hydras.onType]
onFiniteDef.i [variable, in gaia_hydras.onType]
onFiniteMixin [definition, in gaia_hydras.onType]
onFiniteType [definition, in gaia_hydras.onType]
onOmegaDef [section, in gaia_hydras.onType]
onOmegaMixin [definition, in gaia_hydras.onType]
onOmegaType [definition, in gaia_hydras.onType]
onType [library]
on_length [section, in hydras.Gamma0.T2]
On_alpha.S2.H [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S2 [section, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.Hbeta [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.beta [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.H [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1 [section, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.HnonZero [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.Halpha [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha.alpha [variable, in hydras.solutions_exercises.Limit_Infinity]
On_alpha [section, in hydras.solutions_exercises.Limit_Infinity]
ON_O [instance, in hydras.OrdinalNotations.ON_O]
ON_O_comp [instance, in hydras.OrdinalNotations.ON_O]
On_Iota.unique_P [variable, in hydras.Schutte.MoreEpsilonIota]
On_Iota.inhA [variable, in hydras.Schutte.MoreEpsilonIota]
On_Iota.P [variable, in hydras.Schutte.MoreEpsilonIota]
On_Iota.A [variable, in hydras.Schutte.MoreEpsilonIota]
On_Iota [section, in hydras.Schutte.MoreEpsilonIota]
ON_mult [instance, in hydras.OrdinalNotations.ON_mult]
ON_plus [instance, in hydras.OrdinalNotations.ON_plus]
ON_op_ok [definition, in hydras.OrdinalNotations.ON_Generic]
ON_fun_ok [definition, in hydras.OrdinalNotations.ON_Generic]
ON_cst_ok [definition, in hydras.OrdinalNotations.ON_Generic]
On_compare_spec [projection, in hydras.OrdinalNotations.ON_Generic]
ON_correct_onto [projection, in hydras.OrdinalNotations.ON_Generic]
ON_correct_inj [projection, in hydras.OrdinalNotations.ON_Generic]
ON_correct [record, in hydras.OrdinalNotations.ON_Generic]
ON_Iso [record, in hydras.OrdinalNotations.ON_Generic]
ON_le [definition, in hydras.OrdinalNotations.ON_Generic]
ON_lt [definition, in hydras.OrdinalNotations.ON_Generic]
ON_compare [definition, in hydras.OrdinalNotations.ON_Generic]
ON_t [definition, in hydras.OrdinalNotations.ON_Generic]
ON_wf [projection, in hydras.OrdinalNotations.ON_Generic]
ON_comp [projection, in hydras.OrdinalNotations.ON_Generic]
ON_Generic [library]
ON_mult [library]
ON_Finite [library]
ON_Omega_plus_omega [library]
ON_Omega [library]
ON_Omega2 [library]
ON_plus [library]
ON_gfinite [library]
ON_O [library]
on:10 [binder, in hydras.OrdinalNotations.ON_Generic]
on:14 [binder, in hydras.OrdinalNotations.ON_Generic]
On:4 [binder, in hydras.solutions_exercises.lt_succ_le]
On:5 [binder, in hydras.solutions_exercises.predSuccUnicity]
OO [module, in hydras.OrdinalNotations.OmegaOmega]
OO.compare_OO [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.data [projection, in hydras.OrdinalNotations.OmegaOmega]
OO.data_ok [projection, in hydras.OrdinalNotations.OmegaOmega]
OO.embed [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.Fin [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.le [definition, in hydras.OrdinalNotations.OmegaOmega]
OO.lt [definition, in hydras.OrdinalNotations.OmegaOmega]
OO.lt_wf [lemma, in hydras.OrdinalNotations.OmegaOmega]
OO.lt_embed [lemma, in hydras.OrdinalNotations.OmegaOmega]
OO.mkord [constructor, in hydras.OrdinalNotations.OmegaOmega]
OO.mult [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.nf_proof_unicity [lemma, in hydras.OrdinalNotations.OmegaOmega]
OO.omega [abbreviation, in hydras.OrdinalNotations.OmegaOmega]
OO.ON_OO [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.OO [record, in hydras.OrdinalNotations.OmegaOmega]
OO.OO_comp [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.OO_eq_intro [lemma, in hydras.OrdinalNotations.OmegaOmega]
OO.oo_str [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.phi0 [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.plus [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.Succ [instance, in hydras.OrdinalNotations.OmegaOmega]
OO.Zero [instance, in hydras.OrdinalNotations.OmegaOmega]
OO._Omega [instance, in hydras.OrdinalNotations.OmegaOmega]
_ * _ (OO_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
omega^ (OO_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
_ * _ (OO_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
_ + _ (OO_scope) [notation, in hydras.OrdinalNotations.OmegaOmega]
OpaqueWf [module, in hydras.Prelude.Fuel]
OpaqueWf.lt_wf [lemma, in hydras.Prelude.Fuel]
opA:194 [binder, in hydras.OrdinalNotations.ON_Generic]
opB:195 [binder, in hydras.OrdinalNotations.ON_Generic]
open [definition, in hydras.Ackermann.PA]
openClosed [lemma, in hydras.Ackermann.folLogic]
oplus [definition, in hydras.Epsilon0.Hessenberg]
Oplus [instance, in hydras.Epsilon0.E0]
oplus [definition, in gaia_hydras.GHessenberg]
oplusA [lemma, in gaia_hydras.GHessenberg]
oplusa0 [lemma, in gaia_hydras.GHessenberg]
oplusC [lemma, in gaia_hydras.GHessenberg]
oplusE [lemma, in gaia_hydras.GHessenberg]
oplus_lt_phi0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_of_phi0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_of_phi0_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_bi [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_LT_r [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_LT_l [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_l [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_r [lemma, in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_le2 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_le1 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_lt2 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_lt1 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_lt_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_assoc [lemma, in hydras.Epsilon0.Hessenberg]
oplus_assoc_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_lt_rw2 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_comm [lemma, in hydras.Epsilon0.Hessenberg]
oplus_comm_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_nf [lemma, in hydras.Epsilon0.Hessenberg]
oplus_nf_0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_bounded_phi0 [lemma, in hydras.Epsilon0.Hessenberg]
oplus_cons_cons [lemma, in hydras.Epsilon0.Hessenberg]
oplus_eqn [lemma, in hydras.Epsilon0.Hessenberg]
oplus_compare_Gt [lemma, in hydras.Epsilon0.Hessenberg]
oplus_gt_rw [lemma, in hydras.Epsilon0.Hessenberg]
oplus_eq_rw [lemma, in hydras.Epsilon0.Hessenberg]
oplus_lt_rw [lemma, in hydras.Epsilon0.Hessenberg]
oplus_compare_Lt [lemma, in hydras.Epsilon0.Hessenberg]
oplus_0_l [lemma, in hydras.Epsilon0.Hessenberg]
oplus_0_r [lemma, in hydras.Epsilon0.Hessenberg]
oplus_aux:8 [binder, in hydras.Epsilon0.Hessenberg]
oPlus_rw [lemma, in hydras.Epsilon0.E0]
Oplus_assoc [instance, in hydras.Epsilon0.E0]
oplus_lt_phi0 [lemma, in gaia_hydras.GHessenberg]
oplus_strict_mono_r [lemma, in gaia_hydras.GHessenberg]
oplus_strict_mono_l [lemma, in gaia_hydras.GHessenberg]
oplus_lt2 [lemma, in gaia_hydras.GHessenberg]
oplus_lt1 [lemma, in gaia_hydras.GHessenberg]
oplus_nf [lemma, in gaia_hydras.GHessenberg]
oplus_aux:14 [binder, in gaia_hydras.GHessenberg]
oplus0b [lemma, in gaia_hydras.GHessenberg]
optimal [definition, in additions.Addition_Chains]
optimal_upper_bound [lemma, in additions.Addition_Chains]
optimal_generator [definition, in additions.Addition_Chains]
op_comm [projection, in additions.Monoid_def]
op_assoc [projection, in additions.Monoid_def]
op:100 [binder, in additions.Euclidean_Chains]
op:102 [binder, in additions.fib]
op:102 [binder, in additions.Addition_Chains]
op:104 [binder, in additions.AM]
op:109 [binder, in additions.AM]
op:109 [binder, in additions.fib]
op:110 [binder, in additions.Addition_Chains]
op:111 [binder, in additions.Euclidean_Chains]
op:116 [binder, in additions.Addition_Chains]
op:117 [binder, in additions.fib]
op:119 [binder, in additions.AM]
op:123 [binder, in additions.Addition_Chains]
op:124 [binder, in additions.AM]
op:130 [binder, in additions.Addition_Chains]
op:160 [binder, in additions.Addition_Chains]
op:163 [binder, in additions.Euclidean_Chains]
op:167 [binder, in additions.Addition_Chains]
op:169 [binder, in additions.Euclidean_Chains]
op:173 [binder, in additions.Addition_Chains]
op:183 [binder, in additions.Euclidean_Chains]
op:195 [binder, in additions.Euclidean_Chains]
op:36 [binder, in additions.AM]
op:36 [binder, in additions.Euclidean_Chains]
op:42 [binder, in additions.AM]
op:42 [binder, in additions.Addition_Chains]
op:43 [binder, in additions.Euclidean_Chains]
op:48 [binder, in additions.Euclidean_Chains]
op:5 [binder, in additions.Monoid_def]
op:51 [binder, in additions.Euclidean_Chains]
op:53 [binder, in additions.AM]
op:54 [binder, in additions.Euclidean_Chains]
op:54 [binder, in additions.Addition_Chains]
op:58 [binder, in additions.Monoid_def]
op:60 [binder, in additions.AM]
op:62 [binder, in additions.Monoid_def]
op:62 [binder, in additions.Euclidean_Chains]
op:69 [binder, in additions.Euclidean_Chains]
op:7 [binder, in additions.Monoid_def]
op:73 [binder, in additions.AM]
op:83 [binder, in additions.AM]
op:89 [binder, in additions.Euclidean_Chains]
op:94 [binder, in additions.AM]
op:99 [binder, in additions.AM]
Ord [axiom, in hydras.Schutte.Schutte_basics]
ord [definition, in hydras.Schutte.Ordering_Functions]
ordering_function_least_least [lemma, in hydras.Schutte.Ordering_Functions]
ordering_unbounded_unbounded [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_ex [lemma, in hydras.Schutte.Ordering_Functions]
ordering_segment_ex_unique [lemma, in hydras.Schutte.Ordering_Functions]
ordering_segments_of_B [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_seg_unicity [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.O2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.O1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.f2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.f1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.A2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.A1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.B [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity [section, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.O2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.O1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.f2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.f1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.A2 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.A1 [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.B [variable, in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1 [section, in hydras.Schutte.Ordering_Functions]
ordering_le [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_seg [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_mono_weakR [lemma, in hydras.Schutte.Ordering_Functions]
Ordering_bijection [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_monoR [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_mono_weak [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_mono [lemma, in hydras.Schutte.Ordering_Functions]
ordering_function_In [lemma, in hydras.Schutte.Ordering_Functions]
ordering_segment [definition, in hydras.Schutte.Ordering_Functions]
ordering_function [record, in hydras.Schutte.Ordering_Functions]
Ordering_Functions [library]
ordinal [abbreviation, in hydras.Schutte.Schutte_basics]
ordinal_ok [lemma, in hydras.Schutte.Schutte_basics]
ordinal_segment [lemma, in hydras.Schutte.Ordering_Functions]
OrdNotations [library]
ord_eq [lemma, in hydras.Schutte.Ordering_Functions]
ord_ok [lemma, in hydras.Schutte.Ordering_Functions]
orE [lemma, in hydras.Ackermann.LNN]
orE [lemma, in hydras.Ackermann.LNT]
orE [lemma, in hydras.Ackermann.folLogic]
orH [definition, in hydras.Ackermann.fol]
orI1 [lemma, in hydras.Ackermann.LNN]
orI1 [lemma, in hydras.Ackermann.LNT]
orI1 [lemma, in hydras.Ackermann.folLogic]
orI2 [lemma, in hydras.Ackermann.LNN]
orI2 [lemma, in hydras.Ackermann.LNT]
orI2 [lemma, in hydras.Ackermann.folLogic]
orRel [definition, in hydras.Ackermann.primRec]
orRelPR [lemma, in hydras.Ackermann.primRec]
orSym [lemma, in hydras.Ackermann.LNN]
orSym [lemma, in hydras.Ackermann.LNT]
orSym [lemma, in hydras.Ackermann.folLogic]
orSys [lemma, in hydras.Ackermann.LNN]
orSys [lemma, in hydras.Ackermann.LNT]
orSys [lemma, in hydras.Ackermann.folLogic]
output:62 [binder, in hydras.Ackermann.codeSubFormula]
o_length [definition, in hydras.rpo.more_list]
o_finite_mult_mono [lemma, in hydras.Epsilon0.Hessenberg]
o_finite_mult_lt_phi0_1 [lemma, in hydras.Epsilon0.Hessenberg]
o_finite_mult_rw [lemma, in hydras.Epsilon0.Hessenberg]
o_finite_mult_nf [lemma, in hydras.Epsilon0.Hessenberg]
o_finite_mult [definition, in hydras.Epsilon0.Hessenberg]
o_finite_mult_S_rw [lemma, in hydras.Hydra.Hydra_Termination]
o_36_of_42 [definition, in gaia_hydras.ON_gfinite]
o_33_of_42 [definition, in gaia_hydras.ON_gfinite]
o_finite_mult [definition, in gaia_hydras.GHessenberg]
o':423 [binder, in hydras.Gamma0.Gamma0]
o':434 [binder, in hydras.Gamma0.Gamma0]
o':437 [binder, in hydras.Gamma0.Gamma0]
o':61 [binder, in hydras.Epsilon0.Epsilon0rpo]
o':64 [binder, in hydras.Epsilon0.Epsilon0rpo]
o1:15 [binder, in hydras.rpo.rpo]
o1:20 [binder, in hydras.rpo.rpo]
o1:6 [binder, in hydras.rpo.rpo]
O2H [library]
o2iota [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
o2iota_1 [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
o2iota_0 [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
o2:16 [binder, in hydras.rpo.rpo]
o2:21 [binder, in hydras.rpo.rpo]
o2:7 [binder, in hydras.rpo.rpo]
O3O [definition, in hydras.OrdinalNotations.Example_3PlusOmega]
o:10 [binder, in hydras.Hydra.O2H]
o:124 [binder, in hydras.Schutte.Schutte_basics]
o:13 [binder, in hydras.Hydra.O2H]
o:131 [binder, in hydras.Schutte.Ordering_Functions]
o:18 [binder, in hydras.Schutte.Addition]
o:19 [binder, in hydras.Schutte.Addition]
o:280 [binder, in hydras.Gamma0.Gamma0]
o:36 [binder, in hydras.Epsilon0.Epsilon0rpo]
o:424 [binder, in hydras.Gamma0.Gamma0]
o:435 [binder, in hydras.Gamma0.Gamma0]
o:436 [binder, in hydras.Gamma0.Gamma0]
o:537 [binder, in hydras.Epsilon0.T1]
o:619 [binder, in hydras.Gamma0.Gamma0]
o:62 [binder, in hydras.Epsilon0.Epsilon0rpo]
o:628 [binder, in hydras.Gamma0.Gamma0]
o:63 [binder, in hydras.Epsilon0.Epsilon0rpo]
o:63 [binder, in hydras.Schutte.CNF]
o:64 [binder, in hydras.Schutte.CNF]
o:75 [binder, in hydras.Schutte.Ordering_Functions]

P

P [record, in hydras.Epsilon0.F_alpha]
P [axiom, in hydras.Prelude.LibHyps_Experiments]
P [record, in hydras.Epsilon0.Hprime]
PA [definition, in hydras.Prelude.DecPreOrder_Instances]
PA [projection, in hydras.Epsilon0.F_alpha]
PA [definition, in hydras.Ackermann.PA]
PA [section, in hydras.Ackermann.PA]
PA [projection, in hydras.Epsilon0.Hprime]
PA [library]
PAboundedLT [lemma, in hydras.Ackermann.NN2PA]
PAconsistent [lemma, in hydras.Ackermann.PAconsistent]
PAconsistent [library]
PAdec [lemma, in hydras.Ackermann.PA]
PAIncomplete [lemma, in Goedel.rosserPA]
PairwiseEqual [definition, in hydras.Ackermann.folLogic3]
pair:134 [binder, in Goedel.PRrepresentable]
pair:145 [binder, in Goedel.PRrepresentable]
pair:156 [binder, in Goedel.PRrepresentable]
pair:239 [binder, in Goedel.PRrepresentable]
pair:245 [binder, in Goedel.PRrepresentable]
pair:460 [binder, in Goedel.PRrepresentable]
pair:468 [binder, in Goedel.PRrepresentable]
paPlusSym [lemma, in hydras.Ackermann.PAtheory]
parametric [definition, in additions.Addition_Chains]
param_correctness_for_free [lemma, in additions.Addition_Chains]
param_correctness [lemma, in additions.Addition_Chains]
param_correctness_nat [lemma, in additions.Addition_Chains]
param_correctness_aux [lemma, in additions.Addition_Chains]
PartialFun [library]
path [abbreviation, in gaia_hydras.GPaths]
path [definition, in hydras.Epsilon0.Paths]
PAtheory [library]
pathS [definition, in gaia_hydras.GPaths]
pathS [definition, in hydras.Epsilon0.Paths]
Paths [library]
path_to_round_plus [lemma, in hydras.Hydra.O2H]
path_toS_round_plus [lemma, in hydras.Hydra.O2H]
path_toS_trace [lemma, in hydras.Hydra.O2H]
path_to_LT [lemma, in gaia_hydras.GPaths]
path_to_iff1 [lemma, in gaia_hydras.GPaths]
path_to_inv1 [lemma, in gaia_hydras.GPaths]
path_tob [definition, in gaia_hydras.GPaths]
path_to [definition, in gaia_hydras.GPaths]
path_to_omega_mult [lemma, in hydras.Epsilon0.Large_Sets]
path_to_standard_equiv [lemma, in hydras.Epsilon0.Paths]
path_toS_standardS_equiv [lemma, in hydras.Epsilon0.Paths]
path_to_S_standard_pathS [lemma, in hydras.Epsilon0.Paths]
path_to_S_iota_from [lemma, in hydras.Epsilon0.Paths]
path_to_LT [lemma, in hydras.Epsilon0.Paths]
path_toS_LT [lemma, in hydras.Epsilon0.Paths]
path_to_gnaw [lemma, in hydras.Epsilon0.Paths]
path_to_mult [lemma, in hydras.Epsilon0.Paths]
path_toS_mult [lemma, in hydras.Epsilon0.Paths]
path_to_tail [lemma, in hydras.Epsilon0.Paths]
path_toS_tail [lemma, in hydras.Epsilon0.Paths]
path_to_not_In_zero [lemma, in hydras.Epsilon0.Paths]
path_to_zero [lemma, in hydras.Epsilon0.Paths]
path_toS_zero [lemma, in hydras.Epsilon0.Paths]
path_toS_zero_inv [lemma, in hydras.Epsilon0.Paths]
path_toS_zero_one [lemma, in hydras.Epsilon0.Paths]
path_toS_zero_but_last [lemma, in hydras.Epsilon0.Paths]
path_to_appR [lemma, in hydras.Epsilon0.Paths]
path_toS_appR [lemma, in hydras.Epsilon0.Paths]
path_to_decompose [lemma, in hydras.Epsilon0.Paths]
path_toS_decompose [lemma, in hydras.Epsilon0.Paths]
path_to_app [lemma, in hydras.Epsilon0.Paths]
path_toS_app [lemma, in hydras.Epsilon0.Paths]
path_toS_gnawS [lemma, in hydras.Epsilon0.Paths]
path_acc_from [lemma, in hydras.Epsilon0.Paths]
path_toS_nf [lemma, in hydras.Epsilon0.Paths]
path_to_path_toS_iff [lemma, in hydras.Epsilon0.Paths]
path_to_path_toS [lemma, in hydras.Epsilon0.Paths]
path_toS_path_to [lemma, in hydras.Epsilon0.Paths]
path_to_interval_inv_le [lemma, in hydras.Epsilon0.Paths]
path_toS_cons [constructor, in hydras.Epsilon0.Paths]
path_toS_1 [constructor, in hydras.Epsilon0.Paths]
path_toS [inductive, in hydras.Epsilon0.Paths]
path_to_not_nil [lemma, in hydras.Epsilon0.Paths]
path_to_cons [constructor, in hydras.Epsilon0.Paths]
path_to_1 [constructor, in hydras.Epsilon0.Paths]
path_to [inductive, in hydras.Epsilon0.Paths]
paZeroOrSucc [lemma, in hydras.Ackermann.PAtheory]
PA_Succ [lemma, in hydras.Epsilon0.Hprime]
PA_Zero [lemma, in hydras.Epsilon0.Hprime]
pa1 [lemma, in hydras.Ackermann.PA]
PA1 [definition, in hydras.Ackermann.PA]
pa2 [lemma, in hydras.Ackermann.PA]
PA2 [definition, in hydras.Ackermann.PA]
pa3 [lemma, in hydras.Ackermann.PA]
PA3 [definition, in hydras.Ackermann.PA]
pa4 [lemma, in hydras.Ackermann.PA]
PA4 [definition, in hydras.Ackermann.PA]
pa5 [lemma, in hydras.Ackermann.PA]
PA5 [definition, in hydras.Ackermann.PA]
pa6 [lemma, in hydras.Ackermann.PA]
PA6 [definition, in hydras.Ackermann.PA]
PA7 [definition, in hydras.Ackermann.PA]
pA:50 [binder, in hydras.Prelude.Sort_spec]
PA:64 [binder, in hydras.Prelude.Sort_spec]
PB [definition, in hydras.Prelude.DecPreOrder_Instances]
PB [projection, in hydras.Epsilon0.F_alpha]
PB [projection, in hydras.Epsilon0.Hprime]
PB:5 [binder, in hydras.Prelude.DecPreOrder_Instances]
pB:51 [binder, in hydras.Prelude.Sort_spec]
PB:65 [binder, in hydras.Prelude.Sort_spec]
PC [projection, in hydras.Epsilon0.F_alpha]
PC [projection, in hydras.Epsilon0.Hprime]
PC_Zero [lemma, in hydras.Epsilon0.Hprime]
PD [projection, in hydras.Epsilon0.F_alpha]
PD [projection, in hydras.Epsilon0.Hprime]
Pdec:3 [binder, in hydras.Prelude.First_toggle]
PD_Zero [lemma, in hydras.Epsilon0.Hprime]
PE [projection, in hydras.Epsilon0.F_alpha]
PE [projection, in hydras.Epsilon0.Hprime]
Permut [module, in hydras.rpo.list_permut]
Permut.DS [module, in hydras.rpo.list_permut]
Permut.elt [definition, in hydras.rpo.list_permut]
Permut.eq_elt_dec [definition, in hydras.rpo.list_permut]
Permut.list_permut [definition, in hydras.rpo.list_permut]
Permut.list_to_multiset [definition, in hydras.rpo.list_permut]
PF87 [lemma, in additions.Euclidean_Chains]
pf:39 [binder, in hydras.MoreAck.FolExamples]
pf:40 [binder, in hydras.MoreAck.FolExamples]
phi [definition, in hydras.Schutte.Critical]
phi [definition, in hydras.Gamma0.Gamma0]
phi_mono_RR [lemma, in hydras.Gamma0.Gamma0]
phi_psi [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_6 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_5 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_4 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_3 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_2 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi_1 [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi.alpha [variable, in hydras.Gamma0.Gamma0]
phi_to_psi [section, in hydras.Gamma0.Gamma0]
phi_inj_r [lemma, in hydras.Gamma0.Gamma0]
phi_mono_weak_r [lemma, in hydras.Gamma0.Gamma0]
phi_mono_r [lemma, in hydras.Gamma0.Gamma0]
phi_of_psi_plus_fin [lemma, in hydras.Gamma0.Gamma0]
phi_alpha_zero_gt_alpha [lemma, in hydras.Gamma0.Gamma0]
phi_principalR [lemma, in hydras.Gamma0.Gamma0]
phi_spec1 [lemma, in hydras.Gamma0.Gamma0]
phi_le_ge [lemma, in hydras.Gamma0.Gamma0]
phi_le [lemma, in hydras.Gamma0.Gamma0]
phi_fix [lemma, in hydras.Gamma0.Gamma0]
phi_of_any_cons [lemma, in hydras.Gamma0.Gamma0]
phi_nf [lemma, in hydras.Gamma0.Gamma0]
phi_cases [lemma, in hydras.Gamma0.Gamma0]
phi_cases' [lemma, in hydras.Gamma0.Gamma0]
phi_cases_aux [lemma, in hydras.Gamma0.Gamma0]
phi_of_psi_succ [lemma, in hydras.Gamma0.Gamma0]
phi_alpha_zero [lemma, in hydras.Gamma0.Gamma0]
phi_principal [lemma, in hydras.Gamma0.Gamma0]
phi_to_psi [lemma, in hydras.Gamma0.Gamma0]
phi_of_psi [lemma, in hydras.Gamma0.Gamma0]
phi0 [abbreviation, in hydras.Epsilon0.T1]
phi0 [abbreviation, in hydras.Schutte.AP]
phi0_eq [lemma, in hydras.Epsilon0.T1]
phi0_eq_bad [lemma, in hydras.Epsilon0.T1]
phi0_plus_mult [lemma, in hydras.Epsilon0.T1]
phi0_mono [lemma, in hydras.Epsilon0.T1]
phi0_mono_strict_LT [lemma, in hydras.Epsilon0.T1]
phi0_mono_strict [lemma, in hydras.Epsilon0.T1]
phi0_ltR [lemma, in hydras.Epsilon0.T1]
phi0_lt [lemma, in hydras.Epsilon0.T1]
phi0_mult_plus_lt_phi0R [lemma, in hydras.Schutte.Correctness_E0]
phi0_mult_plus_lt_phi0 [lemma, in hydras.Schutte.Correctness_E0]
phi0_mult_lt_phi0 [lemma, in hydras.Schutte.Correctness_E0]
phi0_mult.f_ok [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult.f_Sle [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult.f_mono [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult.Halpha [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult.f [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult.alpha [variable, in hydras.Epsilon0.Large_Sets]
phi0_mult [section, in hydras.Epsilon0.Large_Sets]
phi0_well_named [lemma, in hydras.Schutte.Critical]
phi0_lt_epsilon0_R [lemma, in hydras.Schutte.AP]
phi0_lt_epsilon0 [lemma, in hydras.Schutte.AP]
phi0_of_limit [lemma, in hydras.Schutte.AP]
phi0_sup [lemma, in hydras.Schutte.AP]
phi0_alpha_phi0_beta [lemma, in hydras.Schutte.AP]
phi0_positive [lemma, in hydras.Schutte.AP]
phi0_inj [lemma, in hydras.Schutte.AP]
phi0_mono_R_weak [lemma, in hydras.Schutte.AP]
phi0_mono_R [lemma, in hydras.Schutte.AP]
phi0_mono_weak [lemma, in hydras.Schutte.AP]
phi0_mono [lemma, in hydras.Schutte.AP]
phi0_zero [lemma, in hydras.Schutte.AP]
phi0_elim [lemma, in hydras.Schutte.AP]
phi0_ordering [lemma, in hydras.Schutte.AP]
phi0_ref [lemma, in gaia_hydras.T1Bridge]
phi0_mono [lemma, in hydras.Epsilon0.E0]
Phi0_def [lemma, in hydras.Epsilon0.Hprime]
phi:198 [binder, in hydras.Prelude.Iterates]
phi:214 [binder, in hydras.Prelude.Iterates]
phi:29 [binder, in hydras.MoreAck.FolExamples]
phi:69 [binder, in hydras.MoreAck.PrimRecExamples]
phi:76 [binder, in hydras.MoreAck.PrimRecExamples]
phi:85 [binder, in hydras.MoreAck.PrimRecExamples]
pi1_4IsPR [instance, in hydras.Ackermann.primRec]
pi1_3IsPR [instance, in hydras.Ackermann.primRec]
pi1_2IsPR [instance, in hydras.Ackermann.primRec]
pi2_4IsPR [instance, in hydras.Ackermann.primRec]
pi2_3IsPR [instance, in hydras.Ackermann.primRec]
pi2_2IsPR [instance, in hydras.Ackermann.primRec]
pi3_4IsPR [instance, in hydras.Ackermann.primRec]
pi3_3IsPR [instance, in hydras.Ackermann.primRec]
pi4_4IsPR [instance, in hydras.Ackermann.primRec]
plus [abbreviation, in hydras.Epsilon0.T1]
plus [definition, in hydras.OrdinalNotations.ON_Omega2]
Plus [abbreviation, in hydras.Epsilon0.E0]
plus [definition, in hydras.Gamma0.Gamma0]
plus [definition, in hydras.Schutte.Addition]
plusIndIsPR [instance, in hydras.Ackermann.primRec]
plusIsPR [instance, in hydras.Ackermann.primRec]
plus_cons_cons_eqn [lemma, in hydras.Epsilon0.T1]
plus_smono_LT_r [lemma, in hydras.Epsilon0.T1]
plus_compat [lemma, in hydras.Epsilon0.T1]
plus_left_absorb [lemma, in hydras.Epsilon0.T1]
plus_is_zero [lemma, in hydras.Epsilon0.T1]
plus_nf [lemma, in hydras.Epsilon0.T1]
plus_nf0 [lemma, in hydras.Epsilon0.T1]
plus_cons_cons_rw3 [lemma, in hydras.Epsilon0.T1]
plus_cons_cons_rw2 [lemma, in hydras.Epsilon0.T1]
plus_cons_cons_rw1 [lemma, in hydras.Epsilon0.T1]
plus_zero_r [lemma, in hydras.Epsilon0.T1]
plus_zero [lemma, in hydras.Epsilon0.T1]
plus_alpha_mult_phi0 [lemma, in hydras.Schutte.Correctness_E0]
plus_assoc [instance, in hydras.OrdinalNotations.ON_Omega2]
plus_compat [lemma, in hydras.OrdinalNotations.ON_Omega2]
plus_2 [lemma, in hydras.Prelude.More_Arith]
plus_lt_phi0 [lemma, in hydras.Schutte.AP]
plus_ref [lemma, in gaia_hydras.T1Bridge]
plus_comp [instance, in hydras.OrdinalNotations.ON_plus]
plus_assoc [instance, in hydras.Epsilon0.E0]
Plus_rw [lemma, in hydras.Epsilon0.E0]
plus_mono_l_weak [lemma, in hydras.Gamma0.Gamma0]
plus_mono_r [lemma, in hydras.Gamma0.Gamma0]
plus_nf [lemma, in hydras.Gamma0.Gamma0]
plus_alpha_0 [lemma, in hydras.Gamma0.Gamma0]
Plus_ [constructor, in hydras.Ackermann.Languages]
plus_mono_bi [lemma, in hydras.Schutte.Addition]
plus_mono_weak_l [lemma, in hydras.Schutte.Addition]
plus_assoc [instance, in hydras.Schutte.Addition]
plus_assoc' [lemma, in hydras.Schutte.Addition]
plus_assoc3 [lemma, in hydras.Schutte.Addition]
plus_assoc2 [lemma, in hydras.Schutte.Addition]
plus_assoc1 [lemma, in hydras.Schutte.Addition]
plus_FF [lemma, in hydras.Schutte.Addition]
plus_limit [lemma, in hydras.Schutte.Addition]
plus_reg_r [lemma, in hydras.Schutte.Addition]
plus_mono_r_weak [lemma, in hydras.Schutte.Addition]
plus_of_succ [lemma, in hydras.Schutte.Addition]
plus_mono_r [lemma, in hydras.Schutte.Addition]
plus_elim [lemma, in hydras.Schutte.Addition]
plus_ordering [lemma, in hydras.Schutte.Addition]
plus_correct [lemma, in hydras.MoreAck.PrimRecExamples]
PMult [instance, in additions.Monoid_instances]
positive_4step_ind [lemma, in additions.More_on_positive]
Pos_to_nat_diff_0 [lemma, in additions.AM]
Pos_pow_compat [lemma, in additions.Compatibility]
Pos_pow_power [lemma, in additions.Compatibility]
Pos_iter_ok [lemma, in additions.Compatibility]
Pos_iter_op_ok [lemma, in additions.Compatibility]
Pos_iter_op_ok_0 [lemma, in additions.Compatibility]
Pos_pow [definition, in additions.Compatibility]
Pos_bpow [definition, in additions.FirstSteps]
Pos_bpow_ok_R [lemma, in additions.Pow_variant]
Pos_bpow_ok [lemma, in additions.Pow_variant]
Pos_bpow [definition, in additions.Pow_variant]
Pos_bpow_of_bpow [lemma, in additions.Pow]
Pos_bpow_of_plus [lemma, in additions.Pow]
Pos_bpow_ok_R [lemma, in additions.Pow]
Pos_bpow_proper [instance, in additions.Pow]
Pos_bpow_ok [lemma, in additions.Pow]
Pos_bpow [definition, in additions.Pow]
pos_div_eucl_quotient_lt [lemma, in additions.More_on_positive]
pos_div_eucl_quotient_pos [lemma, in additions.More_on_positive]
pos_gt_3 [lemma, in additions.More_on_positive]
pos_lt_wf [lemma, in additions.More_on_positive]
pos_lt_mul [lemma, in additions.More_on_positive]
pos_le_mul [lemma, in additions.More_on_positive]
Pos_to_nat_neq_0 [lemma, in additions.More_on_positive]
pos_eq_dec [definition, in additions.More_on_positive]
Pos2Nat_morph [lemma, in additions.Compatibility]
Pos2Nat_le_n_pn [lemma, in additions.More_on_positive]
Pos2Nat_le_1_p [lemma, in additions.More_on_positive]
pos2N_inj_add [lemma, in additions.More_on_positive]
pos2N_inj_lt [lemma, in additions.More_on_positive]
Pow [library]
power [abbreviation, in hydras.Prelude.More_Arith]
power [definition, in additions.FirstSteps]
power [definition, in additions.Pow_variant]
power [definition, in additions.Pow]
power_of_1 [lemma, in hydras.Prelude.More_Arith]
power_t [definition, in additions.FirstSteps]
power_of_mult [lemma, in additions.Pow_variant]
power_of_square [lemma, in additions.Pow_variant]
power_of_power [lemma, in additions.Pow_variant]
power_commute_with_x [lemma, in additions.Pow_variant]
power_commute [lemma, in additions.Pow_variant]
power_of_plus [lemma, in additions.Pow_variant]
power_proper [instance, in additions.Pow_variant]
power_eq3 [lemma, in additions.Pow_variant]
power_eq2 [lemma, in additions.Pow_variant]
power_eq1 [lemma, in additions.Pow_variant]
power_of_mult [lemma, in additions.Pow]
power_of_square [lemma, in additions.Pow]
power_of_power_comm [lemma, in additions.Pow]
power_of_power [lemma, in additions.Pow]
power_commute_with_x [lemma, in additions.Pow]
power_commute [lemma, in additions.Pow]
power_of_plus [lemma, in additions.Pow]
power_proper [instance, in additions.Pow]
power_eq3 [lemma, in additions.Pow]
power_eq2 [lemma, in additions.Pow]
power_eq1 [lemma, in additions.Pow]
power_R_is_a_refinement [lemma, in additions.Addition_Chains]
power_R_1 [lemma, in additions.Addition_Chains]
power_R_Mult [lemma, in additions.Addition_Chains]
power_R [definition, in additions.Addition_Chains]
pow_17 [definition, in additions.Pow_variant]
pow_17 [definition, in additions.Pow]
Pow_variant [library]
pow3 [definition, in hydras.Ackermann.codeSubFormula]
pow3IsPR [instance, in hydras.Ackermann.codeSubFormula]
pow3Min [lemma, in hydras.Ackermann.codeSubFormula]
pow3Monotone [lemma, in hydras.Ackermann.codeSubFormula]
PO_lex_prod [instance, in hydras.Prelude.DecPreOrder_Instances]
PO1 [lemma, in additions.Euclidean_Chains]
PO2 [lemma, in additions.Euclidean_Chains]
PO3 [lemma, in additions.Euclidean_Chains]
PO4 [lemma, in additions.Euclidean_Chains]
PO6 [lemma, in additions.Euclidean_Chains]
PO8 [lemma, in additions.Euclidean_Chains]
PO9 [lemma, in additions.Euclidean_Chains]
pp [definition, in hydras.Epsilon0.T1]
ppE0 [definition, in gaia_hydras.T1Bridge]
ppT1 [inductive, in hydras.Epsilon0.T1]
pp_size [definition, in hydras.Epsilon0.T1]
PP_omega [constructor, in hydras.Epsilon0.T1]
PP_exp [constructor, in hydras.Epsilon0.T1]
PP_mult [constructor, in hydras.Epsilon0.T1]
PP_add [constructor, in hydras.Epsilon0.T1]
PP_fin [constructor, in hydras.Epsilon0.T1]
pp0 [definition, in hydras.Epsilon0.T1]
pq:68 [binder, in hydras.rpo.dickson]
PRcompose1 [definition, in hydras.MoreAck.PrimRecExamples]
PRcons [constructor, in hydras.Ackermann.primRec]
PRcorrect [definition, in hydras.Ackermann.primRec]
Precedence [module, in hydras.rpo.rpo]
Precedence.A [axiom, in hydras.rpo.rpo]
Precedence.Lex [constructor, in hydras.rpo.rpo]
Precedence.Mul [constructor, in hydras.rpo.rpo]
Precedence.prec [axiom, in hydras.rpo.rpo]
Precedence.prec_transitive [axiom, in hydras.rpo.rpo]
Precedence.prec_antisym [axiom, in hydras.rpo.rpo]
Precedence.prec_dec [axiom, in hydras.rpo.rpo]
Precedence.status [axiom, in hydras.rpo.rpo]
Precedence.status_type [inductive, in hydras.rpo.rpo]
pred [definition, in hydras.Epsilon0.T1]
pred [definition, in hydras.Gamma0.T2]
Predecessor_unicity [lemma, in hydras.solutions_exercises.predSuccUnicity]
predIsPR [instance, in hydras.Ackermann.primRec]
predSuccUnicity [library]
pred_nf [lemma, in hydras.Epsilon0.T1]
pred_LT [lemma, in hydras.Epsilon0.T1]
pred_of_limitR [lemma, in hydras.Epsilon0.T1]
pred_of_limit [lemma, in hydras.Epsilon0.T1]
pred_of_succ [lemma, in hydras.Epsilon0.T1]
pred_of_power [lemma, in hydras.Prelude.More_Arith]
pred_of_succ [lemma, in hydras.Gamma0.Gamma0]
pred_of_limit [lemma, in hydras.Gamma0.Gamma0]
pred_of_cons' [lemma, in hydras.Gamma0.Gamma0]
pred_of_cons [lemma, in hydras.Gamma0.Gamma0]
preorder_equiv [definition, in hydras.Prelude.DecPreOrder]
preserveValue [lemma, in hydras.Ackermann.model]
PReval [abbreviation, in hydras.Ackermann.primRec]
PRevalN [abbreviation, in hydras.Ackermann.primRec]
Prf [inductive, in hydras.Ackermann.folProof]
prf:11 [binder, in hydras.Ackermann.Deduction]
prf:121 [binder, in hydras.Ackermann.LNN2LNT]
prf:129 [binder, in hydras.Ackermann.LNN2LNT]
prf:45 [binder, in hydras.Ackermann.code]
prf:47 [binder, in hydras.Ackermann.folProof]
Primitive_Recursive_Representable [section, in Goedel.PRrepresentable]
Primitive_recursion.f [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.h [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.g [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.z [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.y [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.x [variable, in hydras.MoreAck.PrimRecExamples]
Primitive_recursion [section, in hydras.MoreAck.PrimRecExamples]
PrimRec [inductive, in hydras.Ackermann.primRec]
primRec [library]
PrimRecExamples [library]
primRecFormula [definition, in Goedel.PRrepresentable]
primRecFunc [constructor, in hydras.Ackermann.primRec]
primRecPiFormulaHelp [definition, in Goedel.PRrepresentable]
primRecRepresentable [lemma, in Goedel.PRrepresentable]
primRecRepresentable1 [lemma, in Goedel.PRrepresentable]
PrimRecs [inductive, in hydras.Ackermann.primRec]
primRecsFormula [definition, in Goedel.PRrepresentable]
primRecSigmaFormula [definition, in Goedel.PRrepresentable]
primRecSigmaFormulaHelp [definition, in Goedel.PRrepresentable]
primRecSigmaRepresentable [lemma, in Goedel.PRrepresentable]
PrimRecs_PrimRec_ind [definition, in hydras.Ackermann.primRec]
PrimRecs_PrimRec_rec [definition, in hydras.Ackermann.primRec]
PrimRec_PrimRecs_ind [definition, in hydras.Ackermann.primRec]
PrimRec_PrimRecs_rec [definition, in hydras.Ackermann.primRec]
PrimRec_2_S [lemma, in hydras.MoreAck.PrimRecExamples]
PrimRec_2_0 [lemma, in hydras.MoreAck.PrimRecExamples]
PrimRec_1_S [lemma, in hydras.MoreAck.PrimRecExamples]
PrimRec_1_0 [lemma, in hydras.MoreAck.PrimRecExamples]
PrimRec_0_S [lemma, in hydras.MoreAck.PrimRecExamples]
PrimRec_0_0 [lemma, in hydras.MoreAck.PrimRecExamples]
prLogic [library]
PRnil [constructor, in hydras.Ackermann.primRec]
PRNotations [module, in hydras.Ackermann.primRec]
PRNotations.pi1_3 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.pi1_2 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.pi1_1 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.pi2_3 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.pi2_2 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.pi3_3 [abbreviation, in hydras.Ackermann.primRec]
PRNotations.PRcomp [abbreviation, in hydras.Ackermann.primRec]
PRNotations.PRrec [abbreviation, in hydras.Ackermann.primRec]
[ _ ; _ ; .. ; _ ] (pr_scope) [notation, in hydras.Ackermann.primRec]
[ _ ] (pr_scope) [notation, in hydras.Ackermann.primRec]
_ :: _ (pr_scope) [notation, in hydras.Ackermann.primRec]
progressive [definition, in hydras.Schutte.Schutte_basics]
Progressive_Acc [lemma, in hydras.Schutte.Schutte_basics]
projectionList [definition, in hydras.Ackermann.primRec]
projectionListApplyParam [lemma, in hydras.Ackermann.primRec]
projectionListId [lemma, in hydras.Ackermann.primRec]
projectionListInd [lemma, in hydras.Ackermann.primRec]
projectionListPR [definition, in hydras.Ackermann.primRec]
projFormula [definition, in Goedel.PRrepresentable]
projFunc [constructor, in hydras.Ackermann.primRec]
projRepresentable [lemma, in Goedel.PRrepresentable]
proj_le_max [lemma, in hydras.MoreAck.AckNotPR]
ProofH [section, in hydras.Ackermann.folProof]
ProofH.Example [section, in hydras.Ackermann.folProof]
ProofH.Formula [variable, in hydras.Ackermann.folProof]
ProofH.Formulas [variable, in hydras.Ackermann.folProof]
ProofH.L [variable, in hydras.Ackermann.folProof]
ProofH.System [variable, in hydras.Ackermann.folProof]
ProofH.Term [variable, in hydras.Ackermann.folProof]
ProofH.Terms [variable, in hydras.Ackermann.folProof]
ProofOfLexwf [section, in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.A [variable, in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.Accs [variable, in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.HwfA [variable, in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.ltA [variable, in hydras.solutions_exercises.MultisetWf]
Proofs_of_unicity.Proofs.S2.Hgammaalpha [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S2.gamma [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S2 [section, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1.Halphagamma [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1.gamma [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1 [section, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.Halphabeta [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.beta [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.alpha [variable, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs [section, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity [section, in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_lt_succ_le.Proofs.S1.HGammaBeta [variable, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.S1.gamma [variable, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.S1 [section, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.Halphabeta [variable, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.beta [variable, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.alpha [variable, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs [section, in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le [section, in hydras.solutions_exercises.lt_succ_le]
Proof_of_dist.P [variable, in hydras.Epsilon0.T1]
Proof_of_dist [section, in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.IHbeta [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.Hbeta [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.beta [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction [section, in hydras.Epsilon0.T1]
Proof_of_mult_nf.P [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf.Halpha [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf.alpha [variable, in hydras.Epsilon0.T1]
Proof_of_mult_nf [section, in hydras.Epsilon0.T1]
Proof_of_MinIsPR.minPR [variable, in hydras.solutions_exercises.MinPR2]
Proof_of_MinIsPR [section, in hydras.solutions_exercises.MinPR2]
Proof_of_oplus_lt1.H0 [variable, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.n [variable, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.a2 [variable, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.a1 [variable, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1 [section, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_assoc [section, in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_comm [section, in hydras.Epsilon0.Hessenberg]
Proof_of_plus_nf [section, in hydras.Epsilon0.Hessenberg]
Proof_of_Ackn_PR.S_step.n [variable, in hydras.MoreAck.AckNotPR]
Proof_of_Ackn_PR.S_step [section, in hydras.MoreAck.AckNotPR]
Proof_of_Ackn_PR [section, in hydras.MoreAck.AckNotPR]
Proof_of_4_5_2.HlargeA [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HAB1 [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HB [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HA [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.Halpha [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.alpha [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.B2 [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.B1 [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.A [variable, in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2 [section, in hydras.Epsilon0.Large_Sets]
Proof_of_Lemma5.Alpha_positive.closedness.IM [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.CM [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.HM [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.M [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness [section, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded.gamma [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded.beta [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded [section, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.IHalpha [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.alpha_pos [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.alpha [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive [section, in hydras.Schutte.Critical]
Proof_of_Lemma5.P [variable, in hydras.Schutte.Critical]
Proof_of_Lemma5 [section, in hydras.Schutte.Critical]
Proof_of_nested_Ack_bound [section, in hydras.MoreAck.Ack]
Proof_of_mult_ref [section, in gaia_hydras.T1Bridge]
Proof_of_FibIsPR.fib_iter_cPair [variable, in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_step_cPair [variable, in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_iter [variable, in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_step [variable, in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR [section, in hydras.solutions_exercises.FibonacciPR]
Proof_of_MinIsPR.min_alt [variable, in hydras.solutions_exercises.MinPR]
Proof_of_MinIsPR [section, in hydras.solutions_exercises.MinPR]
Proof_of_H'_mono_l.Limit_case.Hbeta [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Limit_case [section, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case.Hgamma [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case.gamma [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case [section, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.H_alpha_beta [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.beta [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.alpha [variable, in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l [section, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_limit.Hlim [variable, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_limit [section, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ.alpha_def [variable, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ.beta [variable, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ [section, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.Halpha [variable, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha [variable, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction [section, in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties [section, in hydras.Epsilon0.Hprime]
proof_of_associativity.g_alpha_beta [variable, in hydras.Schutte.Addition]
proof_of_associativity.f_alpha_beta [variable, in hydras.Schutte.Addition]
proof_of_associativity.beta [variable, in hydras.Schutte.Addition]
proof_of_associativity.alpha [variable, in hydras.Schutte.Addition]
proof_of_associativity [section, in hydras.Schutte.Addition]
Proof_of_lt_not_wf.seq_intro.is_in_seq [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.Rwf [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.R [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.seq [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.A [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro [section, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.lt_wf [variable, in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf [section, in hydras.solutions_exercises.T1_ltNotWf]
proof:202 [binder, in hydras.rpo.rpo]
proof:206 [binder, in hydras.rpo.rpo]
Properties [section, in hydras.Epsilon0.F_alpha]
Properties_of_f_alpha.The_induction [section, in hydras.Epsilon0.F_alpha]
Properties_of_f_alpha [section, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_limit.Hlim [variable, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_limit [section, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ.alpha_def [variable, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ.beta [variable, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ [section, in hydras.Epsilon0.F_alpha]
Properties.The_induction.Halpha [variable, in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha [variable, in hydras.Epsilon0.F_alpha]
Properties.The_induction [section, in hydras.Epsilon0.F_alpha]
proper_statement [definition, in additions.Euclidean_Chains]
Proper_A [lemma, in hydras.Schutte.Ordering_Functions]
proper_of_proper [lemma, in hydras.Schutte.Ordering_Functions]
proper_members [lemma, in hydras.Schutte.Ordering_Functions]
proper_segment_of [definition, in hydras.Schutte.Ordering_Functions]
proper_segment [definition, in hydras.Schutte.Ordering_Functions]
Proposition_2_3a [lemma, in hydras.Epsilon0.Paths]
prop_map12_without_repetition [lemma, in hydras.rpo.more_list]
prop_map_without_repetition [lemma, in hydras.rpo.more_list]
PrO_Included [instance, in hydras.Prelude.DecPreOrder_Instances]
PRrepresentable [library]
pr:120 [binder, in Goedel.PRrepresentable]
pr:636 [binder, in hydras.Ackermann.primRec]
pr:641 [binder, in hydras.Ackermann.primRec]
psi [definition, in hydras.Gamma0.T2]
psi_eq [lemma, in hydras.Gamma0.T2]
psi_term [definition, in hydras.Gamma0.T2]
psi_principal [lemma, in hydras.Gamma0.Gamma0]
psi_lt_epsilon0 [lemma, in hydras.Gamma0.Gamma0]
psi_lt_head [lemma, in hydras.Gamma0.Gamma0]
psi_le_cons [lemma, in hydras.Gamma0.Gamma0]
psi:215 [binder, in hydras.Prelude.Iterates]
ptwise_le [definition, in hydras.Prelude.MoreLists]
PUSH [constructor, in additions.AM]
PZero [lemma, in hydras.Epsilon0.F_alpha]
PZero [lemma, in hydras.Epsilon0.Hprime]
P_mult_op [instance, in additions.Monoid_instances]
P_3 [lemma, in hydras.solutions_exercises.F_3]
P_alpha [lemma, in hydras.Epsilon0.Hprime]
P_alpha_0 [lemma, in hydras.Epsilon0.Hprime]
P_dec:190 [binder, in hydras.rpo.list_set]
P_dec:67 [binder, in hydras.rpo.list_set]
P_dec:63 [binder, in hydras.rpo.list_set]
P_dec:59 [binder, in hydras.rpo.list_set]
P_dec:55 [binder, in hydras.rpo.list_set]
P_dec:52 [binder, in hydras.rpo.list_set]
P_dec:49 [binder, in hydras.rpo.list_set]
P_dec:45 [binder, in hydras.rpo.list_set]
P_dec:40 [binder, in hydras.rpo.list_set]
P_dec [instance, in hydras.Epsilon0.Paths]
P_well_founded_induction_type [lemma, in gaia_hydras.nfwfgaia]
p':2 [binder, in additions.More_on_positive]
p':22 [binder, in hydras.Prelude.More_Arith]
p':40 [binder, in hydras.Prelude.DecPreOrder_Instances]
p':66 [binder, in hydras.rpo.dickson]
p':7 [binder, in hydras.solutions_exercises.MinPR2]
P0 [lemma, in hydras.MoreAck.Ack]
p0:395 [binder, in additions.Euclidean_Chains]
p0:402 [binder, in additions.Euclidean_Chains]
P0:46 [binder, in hydras.Prelude.DecPreOrder]
p0:838 [binder, in hydras.Ackermann.checkPrf]
p0:841 [binder, in hydras.Ackermann.checkPrf]
P0:89 [binder, in hydras.Prelude.DecPreOrder]
P0:95 [binder, in hydras.Prelude.DecPreOrder]
P1_dec:195 [binder, in hydras.rpo.list_set]
p1:109 [binder, in hydras.Ackermann.codeList]
p1:114 [binder, in hydras.Ackermann.codeList]
p1:117 [binder, in hydras.Ackermann.codeList]
p1:122 [binder, in hydras.Ackermann.codeList]
p1:125 [binder, in hydras.Ackermann.codeList]
p1:128 [binder, in hydras.Ackermann.codeList]
p1:1309 [binder, in hydras.Ackermann.codeSubFormula]
p1:131 [binder, in hydras.Ackermann.codeList]
p1:1313 [binder, in hydras.Ackermann.codeSubFormula]
p1:1315 [binder, in hydras.Ackermann.codeSubFormula]
p1:1318 [binder, in hydras.Ackermann.codeSubFormula]
p1:1320 [binder, in hydras.Ackermann.codeSubFormula]
p1:1323 [binder, in hydras.Ackermann.codeSubFormula]
p1:1326 [binder, in hydras.Ackermann.codeSubFormula]
p1:1329 [binder, in hydras.Ackermann.codeSubFormula]
p1:1332 [binder, in hydras.Ackermann.codeSubFormula]
p1:1335 [binder, in hydras.Ackermann.codeSubFormula]
p1:1338 [binder, in hydras.Ackermann.codeSubFormula]
p1:134 [binder, in hydras.Ackermann.codeList]
p1:1348 [binder, in hydras.Ackermann.codeSubFormula]
p1:1350 [binder, in hydras.Ackermann.codeSubFormula]
p1:1352 [binder, in hydras.Ackermann.codeSubFormula]
p1:1354 [binder, in hydras.Ackermann.codeSubFormula]
p1:1356 [binder, in hydras.Ackermann.codeSubFormula]
p1:1358 [binder, in hydras.Ackermann.codeSubFormula]
p1:137 [binder, in hydras.Ackermann.codeList]
p1:140 [binder, in hydras.Ackermann.codeList]
p1:143 [binder, in hydras.Ackermann.codeList]
p1:166 [binder, in hydras.Ackermann.codeList]
p1:169 [binder, in hydras.Ackermann.codeList]
p1:172 [binder, in hydras.Ackermann.codeList]
p1:175 [binder, in hydras.Ackermann.codeList]
p1:178 [binder, in hydras.Ackermann.codeList]
p1:181 [binder, in hydras.Ackermann.codeList]
p1:183 [binder, in hydras.Ackermann.codeList]
p1:185 [binder, in hydras.Ackermann.codeList]
p1:187 [binder, in hydras.Ackermann.codeList]
p1:189 [binder, in hydras.Ackermann.codeList]
p1:191 [binder, in hydras.Ackermann.codeList]
p1:193 [binder, in hydras.Ackermann.codeList]
P1:193 [binder, in hydras.rpo.list_set]
p1:214 [binder, in hydras.Ackermann.codeList]
p1:219 [binder, in hydras.Ackermann.codeList]
p1:222 [binder, in hydras.Ackermann.codeList]
p1:227 [binder, in hydras.Ackermann.codeList]
p1:230 [binder, in hydras.Ackermann.codeList]
p1:233 [binder, in hydras.Ackermann.codeList]
p1:236 [binder, in hydras.Ackermann.codeList]
p1:239 [binder, in hydras.Ackermann.codeList]
p1:242 [binder, in hydras.Ackermann.codeList]
p1:245 [binder, in hydras.Ackermann.codeList]
p1:248 [binder, in hydras.Ackermann.codeList]
p1:251 [binder, in hydras.Ackermann.codeList]
p1:254 [binder, in hydras.Ackermann.codeList]
p1:257 [binder, in hydras.Ackermann.codeList]
p1:260 [binder, in hydras.Ackermann.codeList]
p1:262 [binder, in hydras.Ackermann.codeList]
p1:264 [binder, in hydras.Ackermann.codeList]
p1:266 [binder, in hydras.Ackermann.codeList]
p1:268 [binder, in hydras.Ackermann.codeList]
p1:270 [binder, in hydras.Ackermann.codeList]
p1:272 [binder, in hydras.Ackermann.codeList]
p1:33 [binder, in hydras.Ackermann.primRec]
p1:42 [binder, in hydras.Ackermann.codeList]
p1:47 [binder, in hydras.Ackermann.codeList]
p1:50 [binder, in hydras.Ackermann.codeList]
p1:55 [binder, in hydras.Ackermann.codeList]
p1:58 [binder, in hydras.Ackermann.codeList]
p1:61 [binder, in hydras.Ackermann.codeList]
p1:613 [binder, in hydras.Ackermann.primRec]
p1:618 [binder, in hydras.Ackermann.primRec]
p1:64 [binder, in hydras.Ackermann.codeList]
p1:67 [binder, in hydras.Ackermann.codeList]
p1:70 [binder, in hydras.Ackermann.codeList]
P2_dec:196 [binder, in hydras.rpo.list_set]
p2:1310 [binder, in hydras.Ackermann.codeSubFormula]
p2:1314 [binder, in hydras.Ackermann.codeSubFormula]
p2:1316 [binder, in hydras.Ackermann.codeSubFormula]
p2:1319 [binder, in hydras.Ackermann.codeSubFormula]
p2:1321 [binder, in hydras.Ackermann.codeSubFormula]
p2:1324 [binder, in hydras.Ackermann.codeSubFormula]
p2:1327 [binder, in hydras.Ackermann.codeSubFormula]
p2:1330 [binder, in hydras.Ackermann.codeSubFormula]
p2:1333 [binder, in hydras.Ackermann.codeSubFormula]
p2:1336 [binder, in hydras.Ackermann.codeSubFormula]
p2:1339 [binder, in hydras.Ackermann.codeSubFormula]
p2:1349 [binder, in hydras.Ackermann.codeSubFormula]
p2:1351 [binder, in hydras.Ackermann.codeSubFormula]
p2:1353 [binder, in hydras.Ackermann.codeSubFormula]
p2:1355 [binder, in hydras.Ackermann.codeSubFormula]
p2:1357 [binder, in hydras.Ackermann.codeSubFormula]
p2:1359 [binder, in hydras.Ackermann.codeSubFormula]
P2:194 [binder, in hydras.rpo.list_set]
p2:34 [binder, in hydras.Ackermann.primRec]
p2:614 [binder, in hydras.Ackermann.primRec]
p2:619 [binder, in hydras.Ackermann.primRec]
P2:79 [binder, in hydras.Prelude.MoreVectors]
P87 [definition, in additions.Addition_Chains]
P:1 [binder, in hydras.Prelude.First_toggle]
p:1 [binder, in additions.More_on_positive]
P:1 [binder, in hydras.Prelude.MoreDecidable]
p:1 [binder, in additions.BinaryStrat]
p:1 [binder, in additions.Dichotomy]
P:1 [binder, in hydras.solutions_exercises.isqrt]
p:1 [binder, in gaia_hydras.nfwfgaia]
p:10 [binder, in additions.FirstSteps]
p:10 [binder, in additions.More_on_positive]
p:10 [binder, in hydras.solutions_exercises.F_3]
p:101 [binder, in hydras.Ackermann.checkPrf]
p:103 [binder, in hydras.Ackermann.checkPrf]
p:105 [binder, in hydras.Ackermann.checkPrf]
p:106 [binder, in hydras.Ackermann.checkPrf]
p:107 [binder, in hydras.Ackermann.checkPrf]
p:108 [binder, in hydras.Ackermann.checkPrf]
p:109 [binder, in hydras.Ackermann.checkPrf]
p:11 [binder, in hydras.solutions_exercises.MinPR2]
p:11 [binder, in hydras.MoreAck.expressibleExamples]
p:11 [binder, in additions.More_on_positive]
p:11 [binder, in hydras.solutions_exercises.MultisetWf]
p:11 [binder, in hydras.Epsilon0.F_omega]
p:11 [binder, in hydras.solutions_exercises.FibonacciPR]
P:11 [binder, in hydras.Prelude.MoreDecidable]
p:110 [binder, in hydras.Ackermann.checkPrf]
p:111 [binder, in hydras.Prelude.Iterates]
p:111 [binder, in hydras.Ackermann.checkPrf]
p:111 [binder, in hydras.Ackermann.fol]
p:112 [binder, in hydras.Ackermann.checkPrf]
p:113 [binder, in hydras.Ackermann.checkPrf]
p:114 [binder, in hydras.Ackermann.folProp]
p:115 [binder, in hydras.Ackermann.checkPrf]
p:117 [binder, in hydras.Ackermann.checkPrf]
p:1176 [binder, in gaia_hydras.nfwfgaia]
p:1179 [binder, in gaia_hydras.nfwfgaia]
p:118 [binder, in hydras.Ackermann.fol]
p:1182 [binder, in gaia_hydras.nfwfgaia]
p:1185 [binder, in gaia_hydras.nfwfgaia]
p:1188 [binder, in gaia_hydras.nfwfgaia]
p:119 [binder, in hydras.Ackermann.checkPrf]
P:119 [binder, in hydras.Prelude.Merge_Sort]
p:12 [binder, in additions.Fib2]
p:12 [binder, in additions.More_on_positive]
p:12 [binder, in hydras.solutions_exercises.FibonacciPR]
p:121 [binder, in hydras.Ackermann.checkPrf]
P:121 [binder, in hydras.Epsilon0.Large_Sets]
p:123 [binder, in hydras.Ackermann.checkPrf]
P:124 [binder, in hydras.Epsilon0.Large_Sets]
p:124 [binder, in hydras.Ackermann.primRec]
p:125 [binder, in hydras.Ackermann.checkPrf]
p:127 [binder, in hydras.Ackermann.checkPrf]
p:127 [binder, in hydras.Epsilon0.Hprime]
p:128 [binder, in hydras.Ackermann.primRec]
p:129 [binder, in hydras.Ackermann.checkPrf]
p:13 [binder, in additions.Fib2]
P:13 [binder, in hydras.Prelude.Sort_spec]
p:13 [binder, in additions.More_on_positive]
p:13 [binder, in additions.Trace_exercise]
P:13 [binder, in hydras.Schutte.Addition]
p:13 [binder, in hydras.Schutte.Countable]
p:130 [binder, in hydras.Ackermann.checkPrf]
p:131 [binder, in hydras.Ackermann.checkPrf]
p:131 [binder, in hydras.Epsilon0.Hprime]
p:132 [binder, in hydras.rpo.term]
p:132 [binder, in hydras.Ackermann.checkPrf]
p:133 [binder, in hydras.Ackermann.checkPrf]
p:134 [binder, in additions.fib]
p:1340 [binder, in gaia_hydras.nfwfgaia]
p:135 [binder, in hydras.Ackermann.checkPrf]
p:137 [binder, in hydras.rpo.term]
p:137 [binder, in hydras.Ackermann.checkPrf]
p:137 [binder, in additions.Euclidean_Chains]
p:137 [binder, in additions.fib]
p:138 [binder, in hydras.Ackermann.checkPrf]
p:138 [binder, in additions.Euclidean_Chains]
p:138 [binder, in hydras.Epsilon0.Hprime]
p:139 [binder, in hydras.Gamma0.T2]
p:139 [binder, in hydras.Ackermann.checkPrf]
p:14 [binder, in hydras.Prelude.More_Arith]
p:14 [binder, in additions.FirstSteps]
p:14 [binder, in hydras.solutions_exercises.FibonacciPR]
P:14 [binder, in hydras.Schutte.PartialFun]
p:140 [binder, in hydras.Ackermann.checkPrf]
p:140 [binder, in additions.fib]
p:140 [binder, in hydras.Epsilon0.Hprime]
p:1408 [binder, in hydras.Ackermann.codeSubFormula]
p:141 [binder, in hydras.Ackermann.checkPrf]
p:1413 [binder, in hydras.Ackermann.codeSubFormula]
p:1415 [binder, in hydras.Ackermann.codeSubFormula]
P:142 [binder, in hydras.Prelude.Merge_Sort]
p:1420 [binder, in hydras.Ackermann.codeSubFormula]
p:1425 [binder, in hydras.Ackermann.codeSubFormula]
p:143 [binder, in hydras.rpo.term]
p:143 [binder, in hydras.Ackermann.checkPrf]
P:143 [binder, in hydras.Prelude.Merge_Sort]
p:143 [binder, in hydras.Epsilon0.Hprime]
P:144 [binder, in hydras.Prelude.MoreLists]
p:145 [binder, in hydras.Ackermann.checkPrf]
p:145 [binder, in hydras.Epsilon0.Hprime]
p:1458 [binder, in gaia_hydras.nfwfgaia]
p:146 [binder, in hydras.rpo.term]
p:147 [binder, in hydras.Ackermann.checkPrf]
p:149 [binder, in hydras.Ackermann.checkPrf]
p:15 [binder, in additions.More_on_positive]
p:151 [binder, in hydras.rpo.term]
p:151 [binder, in hydras.Ackermann.checkPrf]
P:152 [binder, in hydras.Ackermann.fol]
p:153 [binder, in hydras.Ackermann.checkPrf]
p:155 [binder, in hydras.Ackermann.checkPrf]
p:155 [binder, in additions.fib]
p:156 [binder, in additions.fib]
p:1569 [binder, in hydras.Ackermann.codeSubFormula]
p:157 [binder, in hydras.Ackermann.checkPrf]
P:157 [binder, in hydras.Ackermann.fol]
p:157 [binder, in additions.fib]
p:1571 [binder, in hydras.Ackermann.codeSubFormula]
p:1573 [binder, in hydras.Ackermann.codeSubFormula]
p:1575 [binder, in hydras.Ackermann.codeSubFormula]
p:1577 [binder, in hydras.Ackermann.codeSubFormula]
p:1579 [binder, in hydras.Ackermann.codeSubFormula]
p:1581 [binder, in hydras.Ackermann.codeSubFormula]
p:1583 [binder, in hydras.Ackermann.codeSubFormula]
p:1585 [binder, in hydras.Ackermann.codeSubFormula]
p:1587 [binder, in hydras.Ackermann.codeSubFormula]
p:1589 [binder, in hydras.Ackermann.codeSubFormula]
p:159 [binder, in hydras.Ackermann.checkPrf]
p:1591 [binder, in hydras.Ackermann.codeSubFormula]
p:16 [binder, in hydras.solutions_exercises.FibonacciPR]
p:16 [binder, in hydras.Hydra.Omega2_Small]
p:161 [binder, in hydras.Ackermann.checkPrf]
p:163 [binder, in hydras.Ackermann.checkPrf]
P:163 [binder, in hydras.Ackermann.fol]
p:164 [binder, in hydras.rpo.term]
p:164 [binder, in hydras.Ackermann.checkPrf]
p:165 [binder, in hydras.Ackermann.checkPrf]
p:166 [binder, in hydras.Ackermann.checkPrf]
p:167 [binder, in hydras.Ackermann.checkPrf]
p:168 [binder, in hydras.Ackermann.checkPrf]
p:169 [binder, in hydras.Ackermann.checkPrf]
p:169 [binder, in gaia_hydras.nfwfgaia]
p:17 [binder, in hydras.Prelude.MoreLists]
p:17 [binder, in additions.More_on_positive]
p:17 [binder, in hydras.solutions_exercises.MultisetWf]
p:17 [binder, in additions.fib]
P:17 [binder, in hydras.Prelude.MoreDecidable]
p:17 [binder, in hydras.Schutte.Countable]
p:170 [binder, in hydras.Ackermann.checkPrf]
p:171 [binder, in hydras.Ackermann.checkPrf]
p:172 [binder, in hydras.Ackermann.checkPrf]
p:172 [binder, in hydras.Ackermann.fol]
p:173 [binder, in hydras.Ackermann.checkPrf]
p:174 [binder, in hydras.Ackermann.checkPrf]
p:175 [binder, in hydras.Ackermann.checkPrf]
p:175 [binder, in hydras.rpo.rpo]
p:176 [binder, in hydras.rpo.term]
p:176 [binder, in hydras.Ackermann.checkPrf]
p:176 [binder, in gaia_hydras.T1Bridge]
p:177 [binder, in hydras.Ackermann.checkPrf]
p:178 [binder, in hydras.Ackermann.checkPrf]
p:178 [binder, in hydras.rpo.rpo]
p:179 [binder, in hydras.rpo.term]
p:179 [binder, in hydras.Ackermann.checkPrf]
p:18 [binder, in hydras.Prelude.MoreLists]
p:18 [binder, in additions.Compatibility]
p:18 [binder, in hydras.solutions_exercises.FibonacciPR]
p:180 [binder, in hydras.Ackermann.checkPrf]
p:180 [binder, in gaia_hydras.T1Bridge]
p:180 [binder, in additions.Euclidean_Chains]
p:181 [binder, in hydras.Ackermann.checkPrf]
p:182 [binder, in hydras.Ackermann.checkPrf]
p:1820 [binder, in gaia_hydras.nfwfgaia]
p:1823 [binder, in gaia_hydras.nfwfgaia]
p:1826 [binder, in gaia_hydras.nfwfgaia]
p:1829 [binder, in gaia_hydras.nfwfgaia]
p:183 [binder, in hydras.rpo.term]
p:183 [binder, in hydras.Ackermann.checkPrf]
p:1832 [binder, in gaia_hydras.nfwfgaia]
p:184 [binder, in hydras.Gamma0.Gamma0]
p:185 [binder, in hydras.Ackermann.checkPrf]
p:186 [binder, in hydras.Gamma0.Gamma0]
p:187 [binder, in hydras.Ackermann.checkPrf]
p:189 [binder, in hydras.Ackermann.checkPrf]
P:189 [binder, in hydras.rpo.list_set]
P:19 [binder, in hydras.Prelude.STDPP_compat]
p:19 [binder, in hydras.solutions_exercises.F_3]
p:19 [binder, in Goedel.rosser]
p:190 [binder, in additions.Euclidean_Chains]
p:191 [binder, in hydras.rpo.term]
p:191 [binder, in hydras.Ackermann.checkPrf]
p:192 [binder, in hydras.Ackermann.checkPrf]
p:193 [binder, in hydras.Ackermann.checkPrf]
p:194 [binder, in hydras.Ackermann.checkPrf]
p:195 [binder, in hydras.Ackermann.checkPrf]
p:197 [binder, in hydras.Ackermann.checkPrf]
p:199 [binder, in hydras.Ackermann.checkPrf]
p:2 [binder, in hydras.Prelude.More_Arith]
p:2 [binder, in hydras.Epsilon0.F_omega]
p:2 [binder, in gaia_hydras.onType]
p:2 [binder, in hydras.Prelude.LibHyps_Experiments]
p:2 [binder, in hydras.MoreAck.PrimRecExamples]
p:20 [binder, in hydras.solutions_exercises.FibonacciPR]
p:20 [binder, in gaia_hydras.ON_gfinite]
P:200 [binder, in hydras.Ackermann.fol]
p:201 [binder, in hydras.Ackermann.checkPrf]
p:203 [binder, in hydras.Ackermann.checkPrf]
p:205 [binder, in hydras.Epsilon0.T1]
p:205 [binder, in hydras.Ackermann.checkPrf]
p:206 [binder, in additions.Euclidean_Chains]
p:207 [binder, in hydras.Epsilon0.T1]
p:207 [binder, in hydras.Ackermann.checkPrf]
p:209 [binder, in hydras.Ackermann.checkPrf]
p:21 [binder, in hydras.Prelude.More_Arith]
p:21 [binder, in additions.Compatibility]
p:21 [binder, in hydras.Schutte.GRelations]
p:21 [binder, in hydras.Schutte.Critical]
P:21 [binder, in hydras.Prelude.STDPP_compat]
p:21 [binder, in additions.fib]
p:21 [binder, in hydras.Prelude.Simple_LexProd]
p:210 [binder, in additions.Addition_Chains]
p:211 [binder, in hydras.Ackermann.checkPrf]
p:212 [binder, in hydras.Ackermann.checkPrf]
p:212 [binder, in additions.Addition_Chains]
p:213 [binder, in hydras.Ackermann.checkPrf]
p:213 [binder, in additions.Euclidean_Chains]
p:214 [binder, in hydras.Ackermann.checkPrf]
P:215 [binder, in hydras.rpo.more_list]
p:215 [binder, in hydras.Ackermann.checkPrf]
p:215 [binder, in additions.Addition_Chains]
p:217 [binder, in hydras.Ackermann.checkPrf]
p:217 [binder, in additions.Addition_Chains]
p:219 [binder, in hydras.Ackermann.checkPrf]
P:22 [binder, in hydras.Prelude.DecPreOrder]
P:22 [binder, in hydras.Schutte.MoreEpsilonIota]
p:22 [binder, in gaia_hydras.ON_gfinite]
P:22 [binder, in hydras.rpo.closure]
p:220 [binder, in additions.Euclidean_Chains]
p:220 [binder, in additions.Addition_Chains]
p:221 [binder, in hydras.Ackermann.checkPrf]
p:222 [binder, in additions.Addition_Chains]
p:223 [binder, in hydras.Ackermann.checkPrf]
P:223 [binder, in hydras.Ackermann.fol]
p:224 [binder, in hydras.Ackermann.checkPrf]
P:225 [binder, in hydras.rpo.more_list]
p:225 [binder, in hydras.Ackermann.checkPrf]
p:226 [binder, in hydras.Ackermann.checkPrf]
p:227 [binder, in hydras.Ackermann.checkPrf]
p:228 [binder, in hydras.Ackermann.checkPrf]
p:229 [binder, in hydras.Ackermann.checkPrf]
p:23 [binder, in additions.Compatibility]
P:23 [binder, in hydras.MoreAck.Ack]
P:23 [binder, in hydras.Prelude.STDPP_compat]
p:23 [binder, in additions.fib]
p:23 [binder, in hydras.MoreAck.PrimRecExamples]
p:23 [binder, in hydras.Prelude.Simple_LexProd]
p:23 [binder, in hydras.Schutte.Countable]
p:230 [binder, in hydras.Ackermann.checkPrf]
p:231 [binder, in hydras.Prelude.Iterates]
p:231 [binder, in hydras.Ackermann.checkPrf]
p:235 [binder, in hydras.Ackermann.checkPrf]
p:236 [binder, in hydras.Ackermann.checkPrf]
p:237 [binder, in hydras.Ackermann.checkPrf]
p:238 [binder, in hydras.Ackermann.checkPrf]
p:239 [binder, in hydras.Ackermann.checkPrf]
p:239 [binder, in additions.Addition_Chains]
p:24 [binder, in additions.More_on_positive]
p:24 [binder, in hydras.Schutte.GRelations]
p:240 [binder, in hydras.Ackermann.checkPrf]
p:241 [binder, in hydras.Ackermann.checkPrf]
P:241 [binder, in hydras.Ackermann.fol]
p:241 [binder, in additions.Addition_Chains]
p:242 [binder, in hydras.Ackermann.checkPrf]
p:243 [binder, in hydras.Ackermann.checkPrf]
p:244 [binder, in hydras.Ackermann.checkPrf]
p:245 [binder, in hydras.Ackermann.checkPrf]
p:246 [binder, in hydras.Ackermann.checkPrf]
p:247 [binder, in hydras.Ackermann.checkPrf]
p:248 [binder, in hydras.Ackermann.checkPrf]
p:249 [binder, in hydras.Ackermann.checkPrf]
p:25 [binder, in hydras.Ackermann.checkPrf]
P:25 [binder, in hydras.Schutte.MoreEpsilonIota]
p:25 [binder, in hydras.Schutte.Countable]
p:250 [binder, in hydras.Ackermann.checkPrf]
p:251 [binder, in hydras.Ackermann.checkPrf]
P:252 [binder, in hydras.rpo.more_list]
p:252 [binder, in hydras.Ackermann.checkPrf]
p:253 [binder, in hydras.Ackermann.checkPrf]
p:254 [binder, in hydras.Ackermann.checkPrf]
p:255 [binder, in hydras.Ackermann.checkPrf]
p:255 [binder, in additions.Addition_Chains]
p:256 [binder, in hydras.Ackermann.checkPrf]
p:257 [binder, in hydras.Ackermann.checkPrf]
p:258 [binder, in hydras.Ackermann.checkPrf]
p:259 [binder, in hydras.Ackermann.checkPrf]
p:26 [binder, in additions.AM]
p:26 [binder, in additions.More_on_positive]
P:26 [binder, in hydras.MoreAck.Ack]
p:260 [binder, in hydras.Ackermann.checkPrf]
p:261 [binder, in hydras.Ackermann.checkPrf]
p:262 [binder, in hydras.Ackermann.checkPrf]
p:263 [binder, in hydras.Ackermann.checkPrf]
p:263 [binder, in additions.Addition_Chains]
P:264 [binder, in hydras.rpo.more_list]
p:268 [binder, in hydras.Ackermann.checkPrf]
p:269 [binder, in hydras.Epsilon0.T1]
p:269 [binder, in hydras.Ackermann.checkPrf]
p:269 [binder, in hydras.Gamma0.Gamma0]
p:27 [binder, in hydras.Prelude.Iterates]
p:27 [binder, in hydras.Ackermann.checkPrf]
P:27 [binder, in hydras.Prelude.DecPreOrder]
p:270 [binder, in hydras.Ackermann.checkPrf]
p:270 [binder, in additions.Addition_Chains]
p:271 [binder, in hydras.Ackermann.checkPrf]
p:272 [binder, in hydras.Ackermann.checkPrf]
p:273 [binder, in hydras.Ackermann.checkPrf]
p:273 [binder, in additions.Addition_Chains]
p:274 [binder, in hydras.Ackermann.checkPrf]
p:275 [binder, in hydras.Ackermann.checkPrf]
P:275 [binder, in gaia_hydras.nfwfgaia]
p:276 [binder, in hydras.Ackermann.checkPrf]
p:276 [binder, in additions.Addition_Chains]
p:277 [binder, in hydras.Ackermann.checkPrf]
p:278 [binder, in hydras.Ackermann.checkPrf]
p:279 [binder, in hydras.Ackermann.checkPrf]
P:279 [binder, in gaia_hydras.nfwfgaia]
p:28 [binder, in hydras.Epsilon0.Epsilon0rpo]
p:28 [binder, in hydras.Ackermann.checkPrf]
p:28 [binder, in hydras.Schutte.GRelations]
P:280 [binder, in hydras.Epsilon0.T1]
p:280 [binder, in hydras.Ackermann.checkPrf]
p:281 [binder, in hydras.Ackermann.checkPrf]
p:282 [binder, in hydras.Ackermann.checkPrf]
p:283 [binder, in hydras.Ackermann.checkPrf]
p:283 [binder, in additions.Addition_Chains]
p:284 [binder, in hydras.Ackermann.checkPrf]
p:284 [binder, in additions.Addition_Chains]
p:285 [binder, in hydras.Ackermann.checkPrf]
p:285 [binder, in hydras.Ackermann.fol]
p:285 [binder, in additions.Addition_Chains]
p:286 [binder, in hydras.Ackermann.subAll]
p:286 [binder, in hydras.Ackermann.checkPrf]
p:286 [binder, in additions.Addition_Chains]
p:287 [binder, in hydras.Ackermann.checkPrf]
p:287 [binder, in additions.Addition_Chains]
p:288 [binder, in hydras.Ackermann.checkPrf]
p:289 [binder, in hydras.Ackermann.checkPrf]
P:289 [binder, in gaia_hydras.nfwfgaia]
p:29 [binder, in hydras.Ackermann.checkPrf]
p:29 [binder, in hydras.MoreAck.Ack]
p:290 [binder, in hydras.Ackermann.checkPrf]
p:291 [binder, in hydras.Ackermann.subAll]
p:291 [binder, in hydras.Ackermann.checkPrf]
P:291 [binder, in hydras.Ackermann.fol]
p:292 [binder, in hydras.Ackermann.checkPrf]
p:293 [binder, in hydras.Ackermann.checkPrf]
p:294 [binder, in hydras.Ackermann.checkPrf]
p:295 [binder, in hydras.Ackermann.checkPrf]
p:296 [binder, in hydras.Ackermann.checkPrf]
p:297 [binder, in hydras.Ackermann.checkPrf]
p:298 [binder, in hydras.Ackermann.checkPrf]
P:299 [binder, in Goedel.PRrepresentable]
p:299 [binder, in hydras.Ackermann.checkPrf]
p:3 [binder, in hydras.Prelude.More_Arith]
p:3 [binder, in additions.Strategies]
P:3 [binder, in hydras.Schutte.MoreEpsilonIota]
p:3 [binder, in hydras.solutions_exercises.MorePRExamples]
p:3 [binder, in additions.BinaryStrat]
p:3 [binder, in hydras.Hydra.Omega2_Small]
P:3 [binder, in hydras.solutions_exercises.isqrt]
p:30 [binder, in hydras.Ackermann.checkPrf]
p:30 [binder, in Goedel.rosserPA]
p:300 [binder, in hydras.Ackermann.checkPrf]
p:300 [binder, in additions.Euclidean_Chains]
p:301 [binder, in hydras.Ackermann.checkPrf]
p:302 [binder, in hydras.Ackermann.checkPrf]
p:303 [binder, in hydras.Ackermann.checkPrf]
p:304 [binder, in hydras.Ackermann.checkPrf]
p:305 [binder, in hydras.Ackermann.checkPrf]
p:306 [binder, in hydras.Ackermann.checkPrf]
p:307 [binder, in hydras.Ackermann.checkPrf]
p:308 [binder, in hydras.Ackermann.checkPrf]
p:309 [binder, in hydras.Ackermann.checkPrf]
p:31 [binder, in hydras.Prelude.Iterates]
p:31 [binder, in hydras.Ackermann.checkPrf]
p:31 [binder, in additions.More_on_positive]
p:31 [binder, in hydras.MoreAck.Ack]
p:31 [binder, in additions.Dichotomy]
p:310 [binder, in hydras.Ackermann.checkPrf]
p:311 [binder, in hydras.Ackermann.checkPrf]
p:312 [binder, in hydras.rpo.term]
p:312 [binder, in hydras.Ackermann.checkPrf]
p:313 [binder, in hydras.Ackermann.checkPrf]
p:314 [binder, in hydras.Ackermann.checkPrf]
p:315 [binder, in hydras.Ackermann.checkPrf]
p:316 [binder, in hydras.Ackermann.checkPrf]
p:316 [binder, in additions.Euclidean_Chains]
p:316 [binder, in hydras.rpo.rpo]
p:317 [binder, in hydras.rpo.term]
p:32 [binder, in hydras.Ackermann.checkPrf]
P:32 [binder, in hydras.Prelude.Sort_spec]
p:32 [binder, in hydras.Schutte.GRelations]
p:32 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:32 [binder, in additions.Euclidean_Chains]
p:32 [binder, in additions.Dichotomy]
p:320 [binder, in hydras.Ackermann.checkPrf]
p:321 [binder, in hydras.Ackermann.checkPrf]
p:322 [binder, in hydras.Ackermann.checkPrf]
p:322 [binder, in additions.Euclidean_Chains]
p:323 [binder, in hydras.rpo.term]
p:323 [binder, in hydras.Ackermann.checkPrf]
p:324 [binder, in hydras.Ackermann.checkPrf]
p:325 [binder, in hydras.rpo.term]
p:325 [binder, in hydras.Ackermann.checkPrf]
p:326 [binder, in hydras.Ackermann.checkPrf]
p:327 [binder, in hydras.Ackermann.checkPrf]
p:328 [binder, in hydras.Ackermann.checkPrf]
p:329 [binder, in hydras.rpo.term]
p:329 [binder, in hydras.Ackermann.checkPrf]
p:329 [binder, in hydras.Epsilon0.Paths]
p:33 [binder, in hydras.Ackermann.checkPrf]
p:33 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:33 [binder, in Goedel.codeSysPrf]
p:33 [binder, in additions.Dichotomy]
p:33 [binder, in gaia_hydras.nfwfgaia]
p:330 [binder, in hydras.Ackermann.checkPrf]
p:331 [binder, in hydras.Ackermann.checkPrf]
p:332 [binder, in hydras.Ackermann.checkPrf]
p:333 [binder, in hydras.Ackermann.checkPrf]
p:334 [binder, in hydras.Ackermann.checkPrf]
p:334 [binder, in additions.Euclidean_Chains]
p:335 [binder, in hydras.Ackermann.checkPrf]
p:336 [binder, in hydras.Ackermann.checkPrf]
p:337 [binder, in hydras.Ackermann.checkPrf]
P:337 [binder, in hydras.Ackermann.fol]
p:338 [binder, in hydras.Ackermann.checkPrf]
p:339 [binder, in hydras.Ackermann.checkPrf]
p:34 [binder, in hydras.Ackermann.checkPrf]
p:34 [binder, in additions.More_on_positive]
p:34 [binder, in additions.Dichotomy]
p:340 [binder, in hydras.Ackermann.checkPrf]
p:341 [binder, in hydras.Ackermann.checkPrf]
p:342 [binder, in hydras.rpo.term]
p:342 [binder, in hydras.Ackermann.checkPrf]
p:343 [binder, in hydras.Ackermann.checkPrf]
p:344 [binder, in hydras.Ackermann.checkPrf]
p:345 [binder, in hydras.Ackermann.checkPrf]
p:346 [binder, in hydras.Ackermann.checkPrf]
p:347 [binder, in hydras.Ackermann.checkPrf]
p:348 [binder, in hydras.Ackermann.checkPrf]
p:349 [binder, in hydras.Ackermann.checkPrf]
p:35 [binder, in hydras.Ackermann.checkPrf]
p:35 [binder, in hydras.Ackermann.fol]
p:35 [binder, in additions.Dichotomy]
p:350 [binder, in hydras.Ackermann.checkPrf]
p:351 [binder, in hydras.Ackermann.checkPrf]
p:352 [binder, in hydras.Ackermann.checkPrf]
p:355 [binder, in hydras.rpo.term]
p:357 [binder, in hydras.rpo.term]
p:357 [binder, in hydras.Ackermann.checkPrf]
p:358 [binder, in hydras.Ackermann.checkPrf]
p:359 [binder, in hydras.Ackermann.checkPrf]
p:36 [binder, in additions.Pow_variant]
p:36 [binder, in hydras.Ackermann.checkPrf]
p:36 [binder, in additions.Pow]
p:36 [binder, in additions.More_on_positive]
p:36 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:36 [binder, in additions.Dichotomy]
p:360 [binder, in hydras.Ackermann.checkPrf]
p:361 [binder, in hydras.Ackermann.checkPrf]
p:362 [binder, in hydras.rpo.term]
p:362 [binder, in hydras.Ackermann.checkPrf]
p:363 [binder, in hydras.Ackermann.checkPrf]
p:363 [binder, in hydras.Epsilon0.Paths]
p:364 [binder, in hydras.Ackermann.checkPrf]
p:365 [binder, in hydras.Ackermann.checkPrf]
p:366 [binder, in hydras.Ackermann.checkPrf]
p:367 [binder, in hydras.Ackermann.checkPrf]
p:368 [binder, in hydras.Ackermann.checkPrf]
p:369 [binder, in hydras.Ackermann.checkPrf]
p:37 [binder, in hydras.Ackermann.checkPrf]
P:37 [binder, in hydras.Prelude.DecPreOrder]
p:37 [binder, in hydras.MoreAck.Ack]
p:37 [binder, in additions.Dichotomy]
p:370 [binder, in hydras.Ackermann.checkPrf]
p:371 [binder, in hydras.Ackermann.checkPrf]
p:372 [binder, in hydras.Ackermann.checkPrf]
p:373 [binder, in hydras.rpo.term]
p:373 [binder, in hydras.Ackermann.checkPrf]
p:374 [binder, in hydras.Ackermann.checkPrf]
p:375 [binder, in hydras.Ackermann.checkPrf]
p:375 [binder, in additions.Euclidean_Chains]
p:376 [binder, in hydras.Ackermann.checkPrf]
p:377 [binder, in hydras.Ackermann.checkPrf]
p:378 [binder, in hydras.Ackermann.checkPrf]
p:379 [binder, in hydras.Ackermann.checkPrf]
p:38 [binder, in hydras.Ackermann.checkPrf]
P:38 [binder, in additions.More_on_positive]
p:38 [binder, in hydras.Ackermann.fol]
P:38 [binder, in hydras.rpo.list_set]
p:38 [binder, in additions.Dichotomy]
p:380 [binder, in hydras.Ackermann.checkPrf]
p:381 [binder, in hydras.Ackermann.checkPrf]
P:381 [binder, in hydras.Ackermann.fol]
p:382 [binder, in hydras.Ackermann.checkPrf]
p:382 [binder, in additions.Euclidean_Chains]
p:383 [binder, in hydras.Ackermann.checkPrf]
p:384 [binder, in hydras.Ackermann.checkPrf]
p:384 [binder, in additions.Euclidean_Chains]
p:385 [binder, in hydras.Ackermann.checkPrf]
p:386 [binder, in hydras.Ackermann.checkPrf]
p:387 [binder, in hydras.Ackermann.checkPrf]
p:388 [binder, in hydras.Ackermann.checkPrf]
p:389 [binder, in hydras.Ackermann.checkPrf]
p:39 [binder, in hydras.Prelude.DecPreOrder_Instances]
p:39 [binder, in additions.Compatibility]
p:39 [binder, in hydras.Ackermann.checkPrf]
p:39 [binder, in additions.More_on_positive]
p:39 [binder, in additions.Dichotomy]
p:390 [binder, in hydras.Ackermann.checkPrf]
p:390 [binder, in additions.Euclidean_Chains]
p:391 [binder, in hydras.Ackermann.checkPrf]
p:392 [binder, in hydras.Ackermann.checkPrf]
p:395 [binder, in hydras.Ackermann.checkPrf]
p:396 [binder, in hydras.Ackermann.checkPrf]
p:397 [binder, in additions.Euclidean_Chains]
p:398 [binder, in hydras.Epsilon0.Paths]
p:399 [binder, in hydras.Ackermann.checkPrf]
P:4 [binder, in additions.Fib2]
p:4 [binder, in additions.More_on_positive]
p:4 [binder, in hydras.Epsilon0.F_omega]
p:4 [binder, in hydras.solutions_exercises.FibonacciPR]
p:4 [binder, in additions.Dichotomy]
p:40 [binder, in hydras.Prelude.More_Arith]
p:40 [binder, in hydras.Ackermann.checkPrf]
p:40 [binder, in additions.More_on_positive]
p:40 [binder, in additions.Naive]
P:40 [binder, in hydras.Schutte.Schutte_basics]
p:40 [binder, in additions.Dichotomy]
p:400 [binder, in hydras.Ackermann.checkPrf]
p:401 [binder, in hydras.Ackermann.checkPrf]
p:402 [binder, in hydras.Ackermann.checkPrf]
p:403 [binder, in hydras.Ackermann.checkPrf]
p:404 [binder, in hydras.Ackermann.checkPrf]
p:405 [binder, in hydras.Ackermann.checkPrf]
p:409 [binder, in hydras.Ackermann.checkPrf]
p:41 [binder, in hydras.Ackermann.checkPrf]
P:41 [binder, in hydras.Prelude.Sort_spec]
P:41 [binder, in hydras.Prelude.DecPreOrder]
p:41 [binder, in additions.More_on_positive]
p:41 [binder, in hydras.Ackermann.fol]
p:41 [binder, in additions.Dichotomy]
P:410 [binder, in hydras.Epsilon0.T1]
p:410 [binder, in hydras.Ackermann.checkPrf]
p:411 [binder, in hydras.Ackermann.checkPrf]
p:412 [binder, in hydras.Ackermann.checkPrf]
p:413 [binder, in hydras.Ackermann.checkPrf]
p:414 [binder, in hydras.Ackermann.checkPrf]
p:415 [binder, in hydras.Ackermann.checkPrf]
p:416 [binder, in hydras.Ackermann.checkPrf]
p:417 [binder, in hydras.Ackermann.checkPrf]
p:418 [binder, in hydras.Ackermann.checkPrf]
p:419 [binder, in hydras.Ackermann.checkPrf]
p:42 [binder, in hydras.Prelude.More_Arith]
p:42 [binder, in hydras.Ackermann.checkPrf]
p:42 [binder, in additions.Dichotomy]
p:42 [binder, in hydras.MoreAck.PrimRecExamples]
p:420 [binder, in hydras.Ackermann.checkPrf]
p:421 [binder, in hydras.Ackermann.checkPrf]
p:422 [binder, in hydras.Ackermann.checkPrf]
p:423 [binder, in hydras.Ackermann.checkPrf]
p:424 [binder, in hydras.Ackermann.checkPrf]
p:425 [binder, in hydras.Ackermann.checkPrf]
p:426 [binder, in hydras.Ackermann.checkPrf]
p:427 [binder, in hydras.Ackermann.checkPrf]
P:427 [binder, in hydras.Ackermann.fol]
p:428 [binder, in hydras.Ackermann.checkPrf]
p:429 [binder, in hydras.Ackermann.checkPrf]
p:43 [binder, in hydras.Ackermann.checkPrf]
p:43 [binder, in additions.Dichotomy]
p:43 [binder, in hydras.Prelude.MoreVectors]
p:430 [binder, in hydras.Ackermann.checkPrf]
p:431 [binder, in hydras.Ackermann.checkPrf]
p:432 [binder, in hydras.Ackermann.checkPrf]
p:433 [binder, in hydras.Ackermann.checkPrf]
p:434 [binder, in hydras.Ackermann.checkPrf]
p:435 [binder, in hydras.Ackermann.checkPrf]
P:435 [binder, in hydras.Ackermann.fol]
p:436 [binder, in hydras.Ackermann.checkPrf]
p:437 [binder, in hydras.Ackermann.checkPrf]
p:438 [binder, in hydras.Ackermann.checkPrf]
p:439 [binder, in hydras.Ackermann.checkPrf]
P:44 [binder, in hydras.Schutte.AP]
p:44 [binder, in hydras.Ackermann.fol]
P:44 [binder, in hydras.rpo.list_set]
p:440 [binder, in hydras.Ackermann.checkPrf]
p:441 [binder, in hydras.Ackermann.checkPrf]
p:442 [binder, in hydras.Ackermann.checkPrf]
P:442 [binder, in hydras.Gamma0.Gamma0]
p:443 [binder, in hydras.Ackermann.checkPrf]
p:444 [binder, in hydras.Ackermann.checkPrf]
P:446 [binder, in hydras.Gamma0.Gamma0]
p:447 [binder, in hydras.Ackermann.checkPrf]
p:448 [binder, in hydras.Ackermann.checkPrf]
p:45 [binder, in hydras.Prelude.More_Arith]
p:45 [binder, in additions.Pow_variant]
p:45 [binder, in hydras.Ackermann.checkPrf]
p:45 [binder, in additions.Pow]
p:451 [binder, in hydras.Ackermann.checkPrf]
p:456 [binder, in hydras.Ackermann.checkPrf]
p:457 [binder, in hydras.Ackermann.checkPrf]
p:458 [binder, in hydras.Ackermann.checkPrf]
p:459 [binder, in hydras.Ackermann.checkPrf]
p:46 [binder, in additions.FirstSteps]
p:460 [binder, in hydras.Ackermann.checkPrf]
p:461 [binder, in hydras.Ackermann.checkPrf]
p:462 [binder, in hydras.Ackermann.checkPrf]
p:463 [binder, in hydras.Ackermann.checkPrf]
p:464 [binder, in hydras.Ackermann.checkPrf]
p:465 [binder, in hydras.Ackermann.checkPrf]
p:466 [binder, in hydras.Ackermann.checkPrf]
p:467 [binder, in hydras.Ackermann.checkPrf]
p:468 [binder, in hydras.Ackermann.checkPrf]
p:469 [binder, in hydras.Ackermann.checkPrf]
p:47 [binder, in hydras.Ackermann.checkPrf]
p:47 [binder, in hydras.solutions_exercises.MultisetWf]
p:47 [binder, in hydras.Ackermann.fol]
p:470 [binder, in hydras.Ackermann.checkPrf]
p:471 [binder, in hydras.Ackermann.checkPrf]
P:471 [binder, in hydras.Gamma0.Gamma0]
p:472 [binder, in hydras.Ackermann.checkPrf]
p:472 [binder, in additions.Euclidean_Chains]
p:473 [binder, in hydras.Ackermann.checkPrf]
p:474 [binder, in hydras.Ackermann.checkPrf]
p:475 [binder, in Goedel.PRrepresentable]
p:475 [binder, in hydras.Ackermann.checkPrf]
p:475 [binder, in gaia_hydras.nfwfgaia]
p:476 [binder, in hydras.Ackermann.checkPrf]
p:477 [binder, in hydras.Ackermann.checkPrf]
p:478 [binder, in hydras.Ackermann.checkPrf]
p:478 [binder, in gaia_hydras.nfwfgaia]
p:479 [binder, in hydras.Ackermann.checkPrf]
p:48 [binder, in hydras.Schutte.Correctness_E0]
p:48 [binder, in additions.FirstSteps]
p:48 [binder, in hydras.MoreAck.Ack]
P:48 [binder, in hydras.rpo.list_set]
p:480 [binder, in hydras.Ackermann.checkPrf]
p:481 [binder, in hydras.Ackermann.checkPrf]
p:481 [binder, in gaia_hydras.nfwfgaia]
p:482 [binder, in hydras.Ackermann.checkPrf]
p:483 [binder, in hydras.Ackermann.checkPrf]
p:484 [binder, in hydras.Ackermann.checkPrf]
p:484 [binder, in gaia_hydras.nfwfgaia]
p:485 [binder, in hydras.Ackermann.checkPrf]
p:487 [binder, in gaia_hydras.nfwfgaia]
p:488 [binder, in hydras.Ackermann.checkPrf]
p:489 [binder, in hydras.Ackermann.checkPrf]
p:49 [binder, in hydras.Ackermann.checkPrf]
P:49 [binder, in hydras.Prelude.MoreVectors]
p:492 [binder, in hydras.Ackermann.checkPrf]
p:493 [binder, in hydras.Ackermann.checkPrf]
p:494 [binder, in hydras.Ackermann.checkPrf]
p:495 [binder, in hydras.Ackermann.checkPrf]
p:496 [binder, in hydras.Ackermann.checkPrf]
p:497 [binder, in hydras.Ackermann.checkPrf]
p:498 [binder, in hydras.Ackermann.checkPrf]
p:499 [binder, in hydras.Ackermann.checkPrf]
p:5 [binder, in hydras.Prelude.First_toggle]
p:5 [binder, in additions.Strategies]
p:5 [binder, in additions.More_on_positive]
p:5 [binder, in hydras.Epsilon0.F_omega]
p:5 [binder, in hydras.Prelude.LibHyps_Experiments]
p:5 [binder, in additions.Dichotomy]
p:50 [binder, in hydras.Prelude.More_Arith]
p:50 [binder, in hydras.Ackermann.fol]
p:500 [binder, in hydras.Ackermann.checkPrf]
p:501 [binder, in hydras.Ackermann.checkPrf]
P:502 [binder, in gaia_hydras.nfwfgaia]
p:504 [binder, in hydras.Ackermann.checkPrf]
p:505 [binder, in hydras.Ackermann.checkPrf]
P:505 [binder, in gaia_hydras.nfwfgaia]
p:507 [binder, in hydras.Epsilon0.T1]
p:508 [binder, in hydras.Ackermann.checkPrf]
P:508 [binder, in gaia_hydras.nfwfgaia]
p:509 [binder, in hydras.Ackermann.checkPrf]
p:51 [binder, in hydras.Ackermann.checkPrf]
P:51 [binder, in hydras.Prelude.DecPreOrder]
P:51 [binder, in hydras.Schutte.Schutte_basics]
P:51 [binder, in hydras.rpo.list_set]
p:512 [binder, in hydras.Epsilon0.T1]
p:512 [binder, in hydras.Ackermann.checkPrf]
p:513 [binder, in hydras.Ackermann.checkPrf]
p:516 [binder, in hydras.Ackermann.checkPrf]
p:519 [binder, in hydras.Ackermann.checkPrf]
p:52 [binder, in hydras.Prelude.Iterates]
p:52 [binder, in hydras.Ackermann.code]
p:521 [binder, in hydras.Ackermann.checkPrf]
p:522 [binder, in hydras.Ackermann.checkPrf]
p:523 [binder, in hydras.Ackermann.checkPrf]
p:524 [binder, in hydras.Ackermann.checkPrf]
p:525 [binder, in hydras.Ackermann.checkPrf]
p:526 [binder, in hydras.Ackermann.checkPrf]
p:527 [binder, in hydras.Ackermann.checkPrf]
p:528 [binder, in hydras.Ackermann.checkPrf]
p:528 [binder, in hydras.Epsilon0.Paths]
p:529 [binder, in hydras.Ackermann.checkPrf]
p:53 [binder, in hydras.OrdinalNotations.ON_Omega2]
p:53 [binder, in hydras.Ackermann.checkPrf]
p:530 [binder, in hydras.Ackermann.checkPrf]
p:531 [binder, in hydras.Ackermann.checkPrf]
p:532 [binder, in hydras.Ackermann.checkPrf]
p:533 [binder, in hydras.Ackermann.checkPrf]
p:535 [binder, in hydras.Ackermann.checkPrf]
p:54 [binder, in hydras.solutions_exercises.MultisetWf]
P:54 [binder, in hydras.rpo.list_set]
p:540 [binder, in hydras.Gamma0.Gamma0]
p:546 [binder, in hydras.Epsilon0.T1]
p:546 [binder, in hydras.Gamma0.Gamma0]
p:549 [binder, in hydras.Gamma0.Gamma0]
p:55 [binder, in hydras.OrdinalNotations.ON_Omega2]
p:55 [binder, in hydras.Ackermann.checkPrf]
P:55 [binder, in hydras.Prelude.MoreVectors]
p:552 [binder, in hydras.Gamma0.Gamma0]
p:56 [binder, in hydras.Prelude.More_Arith]
p:56 [binder, in hydras.Prelude.Iterates]
P:56 [binder, in hydras.Prelude.DecPreOrder]
p:561 [binder, in hydras.Epsilon0.T1]
p:566 [binder, in hydras.Epsilon0.T1]
p:57 [binder, in hydras.Ackermann.checkPrf]
p:57 [binder, in hydras.solutions_exercises.MultisetWf]
p:58 [binder, in hydras.MoreAck.Ack]
P:58 [binder, in hydras.rpo.list_set]
p:59 [binder, in hydras.Ackermann.checkPrf]
p:59 [binder, in gaia_hydras.nfwfgaia]
p:596 [binder, in hydras.Epsilon0.T1]
P:6 [binder, in hydras.Prelude.Compat815]
p:6 [binder, in additions.More_on_positive]
p:6 [binder, in hydras.solutions_exercises.FibonacciPR]
P:6 [binder, in hydras.Prelude.MoreDecidable]
p:60 [binder, in Goedel.codeSysPrf]
p:600 [binder, in hydras.Epsilon0.T1]
p:605 [binder, in hydras.Epsilon0.T1]
p:607 [binder, in hydras.Ackermann.primRec]
P:607 [binder, in hydras.Gamma0.Gamma0]
p:608 [binder, in hydras.Epsilon0.T1]
p:61 [binder, in hydras.Ackermann.checkPrf]
P:61 [binder, in hydras.Prelude.DecPreOrder]
p:610 [binder, in hydras.Ackermann.primRec]
p:612 [binder, in hydras.Epsilon0.T1]
P:612 [binder, in hydras.Gamma0.Gamma0]
p:615 [binder, in hydras.Epsilon0.T1]
P:615 [binder, in hydras.Gamma0.Gamma0]
P:62 [binder, in hydras.rpo.list_set]
p:622 [binder, in hydras.Ackermann.primRec]
p:624 [binder, in hydras.Epsilon0.T1]
p:63 [binder, in additions.Pow_variant]
p:63 [binder, in hydras.Ackermann.checkPrf]
p:63 [binder, in additions.Pow]
p:63 [binder, in additions.More_on_positive]
p:630 [binder, in hydras.Epsilon0.T1]
p:638 [binder, in hydras.Ackermann.primRec]
P:64 [binder, in hydras.rpo.more_list]
p:64 [binder, in hydras.Ackermann.fol]
p:64 [binder, in additions.fib]
p:64 [binder, in hydras.rpo.dickson]
p:643 [binder, in hydras.Ackermann.primRec]
p:65 [binder, in hydras.Ackermann.checkPrf]
p:65 [binder, in hydras.MoreAck.Ack]
p:650 [binder, in hydras.Ackermann.checkPrf]
p:650 [binder, in gaia_hydras.nfwfgaia]
p:66 [binder, in additions.Pow_variant]
p:66 [binder, in hydras.Ackermann.checkPrf]
p:66 [binder, in additions.Pow]
P:66 [binder, in hydras.Prelude.DecPreOrder]
P:66 [binder, in hydras.rpo.list_set]
p:665 [binder, in hydras.Ackermann.primRec]
p:67 [binder, in hydras.Ackermann.checkPrf]
p:679 [binder, in hydras.Ackermann.checkPrf]
p:68 [binder, in hydras.Ackermann.checkPrf]
p:68 [binder, in hydras.MoreAck.Ack]
p:680 [binder, in hydras.Ackermann.checkPrf]
p:681 [binder, in hydras.Ackermann.checkPrf]
p:682 [binder, in hydras.Ackermann.checkPrf]
p:683 [binder, in hydras.Ackermann.checkPrf]
p:684 [binder, in hydras.Ackermann.checkPrf]
p:685 [binder, in hydras.Ackermann.checkPrf]
p:686 [binder, in hydras.Ackermann.checkPrf]
p:687 [binder, in hydras.Ackermann.checkPrf]
p:688 [binder, in hydras.Ackermann.checkPrf]
p:689 [binder, in hydras.Ackermann.checkPrf]
p:69 [binder, in hydras.Ackermann.checkPrf]
p:690 [binder, in hydras.Ackermann.checkPrf]
p:691 [binder, in hydras.Ackermann.checkPrf]
p:692 [binder, in hydras.Ackermann.checkPrf]
p:693 [binder, in hydras.Ackermann.checkPrf]
p:694 [binder, in hydras.Ackermann.checkPrf]
p:695 [binder, in hydras.Ackermann.checkPrf]
p:696 [binder, in hydras.Ackermann.checkPrf]
p:697 [binder, in hydras.Ackermann.checkPrf]
p:698 [binder, in hydras.Ackermann.checkPrf]
p:699 [binder, in hydras.Ackermann.checkPrf]
p:7 [binder, in hydras.Epsilon0.F_omega]
p:7 [binder, in hydras.solutions_exercises.FibonacciPR]
p:7 [binder, in additions.Dichotomy]
p:7 [binder, in hydras.Prelude.Simple_LexProd]
p:70 [binder, in additions.AM]
P:70 [binder, in hydras.Epsilon0.Epsilon0rpo]
p:70 [binder, in hydras.Ackermann.checkPrf]
p:70 [binder, in hydras.Ackermann.codeSubFormula]
p:70 [binder, in additions.fib]
p:700 [binder, in hydras.Ackermann.checkPrf]
P:700 [binder, in hydras.Ackermann.primRec]
p:701 [binder, in hydras.Ackermann.checkPrf]
p:702 [binder, in hydras.Ackermann.checkPrf]
p:703 [binder, in hydras.Ackermann.checkPrf]
p:704 [binder, in hydras.Ackermann.checkPrf]
p:705 [binder, in hydras.Ackermann.checkPrf]
P:705 [binder, in hydras.Ackermann.primRec]
p:706 [binder, in hydras.Ackermann.checkPrf]
p:706 [binder, in gaia_hydras.nfwfgaia]
p:707 [binder, in hydras.Ackermann.checkPrf]
p:708 [binder, in hydras.Ackermann.checkPrf]
p:709 [binder, in hydras.Ackermann.checkPrf]
p:71 [binder, in additions.Pow_variant]
p:71 [binder, in hydras.Ackermann.checkPrf]
p:71 [binder, in additions.Pow]
p:71 [binder, in hydras.Ackermann.fol]
p:71 [binder, in hydras.Schutte.Addition]
p:710 [binder, in hydras.Ackermann.checkPrf]
p:711 [binder, in hydras.Ackermann.checkPrf]
P:711 [binder, in hydras.Ackermann.primRec]
p:712 [binder, in hydras.Ackermann.checkPrf]
p:713 [binder, in hydras.Ackermann.checkPrf]
p:714 [binder, in hydras.Ackermann.checkPrf]
P:714 [binder, in hydras.Ackermann.primRec]
p:715 [binder, in hydras.Ackermann.checkPrf]
p:716 [binder, in hydras.Ackermann.checkPrf]
P:716 [binder, in hydras.Ackermann.primRec]
p:716 [binder, in gaia_hydras.nfwfgaia]
p:717 [binder, in hydras.Ackermann.checkPrf]
P:717 [binder, in hydras.Ackermann.primRec]
p:718 [binder, in hydras.Ackermann.checkPrf]
P:718 [binder, in hydras.Ackermann.primRec]
p:719 [binder, in hydras.Ackermann.checkPrf]
p:72 [binder, in hydras.Prelude.MoreLists]
p:72 [binder, in hydras.Ackermann.checkPrf]
P:72 [binder, in hydras.Prelude.DecPreOrder]
p:720 [binder, in hydras.Ackermann.checkPrf]
p:721 [binder, in hydras.Ackermann.checkPrf]
p:722 [binder, in hydras.Ackermann.checkPrf]
p:723 [binder, in hydras.Ackermann.checkPrf]
p:724 [binder, in hydras.Ackermann.checkPrf]
p:725 [binder, in hydras.Ackermann.checkPrf]
p:726 [binder, in hydras.Ackermann.checkPrf]
p:727 [binder, in hydras.Ackermann.checkPrf]
p:728 [binder, in hydras.Ackermann.checkPrf]
p:729 [binder, in hydras.Ackermann.checkPrf]
p:73 [binder, in hydras.Ackermann.checkPrf]
p:732 [binder, in hydras.Ackermann.checkPrf]
p:733 [binder, in hydras.Ackermann.checkPrf]
p:734 [binder, in hydras.Epsilon0.T1]
p:734 [binder, in hydras.Ackermann.checkPrf]
p:735 [binder, in hydras.Ackermann.checkPrf]
p:736 [binder, in hydras.Ackermann.checkPrf]
p:737 [binder, in hydras.Ackermann.checkPrf]
p:738 [binder, in hydras.Ackermann.checkPrf]
p:739 [binder, in hydras.Ackermann.checkPrf]
P:74 [binder, in hydras.Epsilon0.Epsilon0rpo]
P:74 [binder, in hydras.rpo.more_list]
p:74 [binder, in additions.Pow]
p:74 [binder, in hydras.Schutte.Addition]
p:740 [binder, in hydras.Ackermann.checkPrf]
p:741 [binder, in hydras.Ackermann.checkPrf]
p:742 [binder, in hydras.Ackermann.checkPrf]
p:743 [binder, in hydras.Ackermann.checkPrf]
p:744 [binder, in hydras.Ackermann.checkPrf]
p:745 [binder, in hydras.Ackermann.checkPrf]
p:746 [binder, in hydras.Ackermann.checkPrf]
p:747 [binder, in hydras.Ackermann.checkPrf]
p:748 [binder, in hydras.Ackermann.checkPrf]
p:749 [binder, in hydras.Ackermann.checkPrf]
p:75 [binder, in hydras.OrdinalNotations.ON_Omega2]
p:75 [binder, in additions.Pow_variant]
p:75 [binder, in hydras.Ackermann.checkPrf]
p:75 [binder, in hydras.Ackermann.codeSubFormula]
p:750 [binder, in hydras.Ackermann.checkPrf]
p:751 [binder, in hydras.Ackermann.checkPrf]
p:752 [binder, in hydras.Ackermann.checkPrf]
p:753 [binder, in hydras.Ackermann.checkPrf]
p:754 [binder, in hydras.Ackermann.checkPrf]
p:755 [binder, in hydras.Ackermann.checkPrf]
p:758 [binder, in hydras.Ackermann.checkPrf]
p:759 [binder, in hydras.Ackermann.checkPrf]
P:76 [binder, in hydras.Prelude.Sort_spec]
p:76 [binder, in additions.Euclidean_Chains]
p:76 [binder, in hydras.Hydra.BigBattle]
p:76 [binder, in hydras.Epsilon0.Hprime]
p:762 [binder, in hydras.Ackermann.checkPrf]
p:763 [binder, in hydras.Ackermann.checkPrf]
p:764 [binder, in hydras.Ackermann.checkPrf]
p:765 [binder, in hydras.Ackermann.checkPrf]
p:766 [binder, in hydras.Ackermann.checkPrf]
p:767 [binder, in hydras.Ackermann.checkPrf]
p:768 [binder, in hydras.Ackermann.checkPrf]
p:769 [binder, in hydras.Ackermann.checkPrf]
p:77 [binder, in hydras.Prelude.MoreLists]
p:77 [binder, in hydras.Ackermann.checkPrf]
p:77 [binder, in additions.Addition_Chains]
p:770 [binder, in hydras.Ackermann.checkPrf]
p:771 [binder, in hydras.Ackermann.checkPrf]
p:772 [binder, in hydras.Ackermann.checkPrf]
p:773 [binder, in hydras.Ackermann.checkPrf]
p:774 [binder, in hydras.Ackermann.checkPrf]
p:775 [binder, in hydras.Ackermann.checkPrf]
p:776 [binder, in hydras.Ackermann.checkPrf]
p:777 [binder, in hydras.Ackermann.checkPrf]
p:778 [binder, in hydras.Ackermann.checkPrf]
p:779 [binder, in hydras.Ackermann.checkPrf]
p:78 [binder, in additions.Pow_variant]
p:78 [binder, in additions.Pow]
P:78 [binder, in hydras.Prelude.DecPreOrder]
p:78 [binder, in additions.Euclidean_Chains]
p:78 [binder, in hydras.Schutte.PartialFun]
p:78 [binder, in Goedel.codeSysPrf]
p:78 [binder, in hydras.Epsilon0.Hprime]
p:780 [binder, in hydras.Ackermann.checkPrf]
p:781 [binder, in hydras.Ackermann.checkPrf]
p:782 [binder, in hydras.Ackermann.checkPrf]
p:783 [binder, in hydras.Ackermann.checkPrf]
p:784 [binder, in hydras.Ackermann.checkPrf]
p:785 [binder, in hydras.Ackermann.checkPrf]
p:79 [binder, in hydras.Ackermann.checkPrf]
p:79 [binder, in additions.Addition_Chains]
p:790 [binder, in hydras.Ackermann.checkPrf]
p:797 [binder, in hydras.Ackermann.checkPrf]
p:8 [binder, in gaia_hydras.T1Choice]
p:8 [binder, in hydras.OrdinalNotations.ON_Omega2]
p:8 [binder, in additions.Fib2]
p:8 [binder, in additions.More_on_positive]
P:8 [binder, in hydras.Schutte.MoreEpsilonIota]
P:8 [binder, in hydras.Hydra.Hydra_Definitions]
p:80 [binder, in additions.AM]
p:80 [binder, in hydras.Prelude.MoreLists]
p:80 [binder, in hydras.Ackermann.folProp]
p:803 [binder, in hydras.Ackermann.checkPrf]
p:81 [binder, in hydras.Ackermann.checkPrf]
p:81 [binder, in additions.Pow]
p:81 [binder, in hydras.MoreAck.Ack]
p:813 [binder, in hydras.Ackermann.checkPrf]
p:815 [binder, in hydras.Ackermann.checkPrf]
p:817 [binder, in hydras.Ackermann.checkPrf]
p:818 [binder, in hydras.Ackermann.checkPrf]
p:819 [binder, in hydras.Ackermann.checkPrf]
p:82 [binder, in hydras.Ackermann.checkPrf]
p:82 [binder, in hydras.Ackermann.codeSubFormula]
p:82 [binder, in hydras.Epsilon0.Hprime]
p:820 [binder, in hydras.Ackermann.checkPrf]
p:822 [binder, in hydras.Ackermann.checkPrf]
p:824 [binder, in hydras.Ackermann.checkPrf]
p:826 [binder, in hydras.Ackermann.checkPrf]
p:828 [binder, in hydras.Ackermann.checkPrf]
p:83 [binder, in hydras.Ackermann.checkPrf]
P:83 [binder, in hydras.Prelude.DecPreOrder]
p:830 [binder, in hydras.Ackermann.checkPrf]
p:832 [binder, in hydras.Ackermann.checkPrf]
p:834 [binder, in hydras.Ackermann.checkPrf]
p:837 [binder, in hydras.Ackermann.checkPrf]
p:84 [binder, in hydras.Ackermann.checkPrf]
p:84 [binder, in additions.fib]
p:848 [binder, in hydras.Ackermann.checkPrf]
p:85 [binder, in hydras.Ackermann.checkPrf]
p:85 [binder, in hydras.Ackermann.codeSubFormula]
p:85 [binder, in Goedel.codeSysPrf]
P:85 [binder, in hydras.Prelude.MoreVectors]
p:850 [binder, in gaia_hydras.nfwfgaia]
p:86 [binder, in hydras.Ackermann.checkPrf]
P:86 [binder, in hydras.Prelude.DecPreOrder]
p:86 [binder, in hydras.Epsilon0.Large_Sets]
p:86 [binder, in hydras.MoreAck.Ack]
p:86 [binder, in hydras.Ackermann.primRec]
p:86 [binder, in additions.fib]
p:861 [binder, in hydras.Ackermann.checkPrf]
p:866 [binder, in hydras.Ackermann.checkPrf]
p:867 [binder, in hydras.Ackermann.checkPrf]
p:869 [binder, in hydras.Ackermann.checkPrf]
p:87 [binder, in hydras.Prelude.MoreLists]
p:87 [binder, in hydras.Ackermann.checkPrf]
p:87 [binder, in additions.Pow]
p:872 [binder, in hydras.Ackermann.checkPrf]
p:875 [binder, in hydras.Ackermann.checkPrf]
p:879 [binder, in hydras.Ackermann.checkPrf]
p:88 [binder, in additions.Pow_variant]
p:88 [binder, in hydras.Ackermann.checkPrf]
p:88 [binder, in hydras.rpo.rpo]
p:882 [binder, in hydras.Ackermann.checkPrf]
p:89 [binder, in hydras.Ackermann.checkPrf]
P:89 [binder, in hydras.Prelude.MoreVectors]
p:9 [binder, in hydras.MoreAck.expressibleExamples]
p:9 [binder, in additions.Strategies]
p:9 [binder, in hydras.Epsilon0.F_omega]
p:9 [binder, in hydras.solutions_exercises.FibonacciPR]
p:9 [binder, in additions.Naive]
P:9 [binder, in hydras.Prelude.STDPP_compat]
p:9 [binder, in additions.Dichotomy]
p:90 [binder, in hydras.Ackermann.checkPrf]
p:90 [binder, in hydras.Ackermann.codeSubFormula]
p:90 [binder, in Goedel.codeSysPrf]
p:91 [binder, in hydras.Ackermann.checkPrf]
p:91 [binder, in additions.Pow]
p:91 [binder, in additions.fib]
p:92 [binder, in hydras.Ackermann.checkPrf]
p:93 [binder, in hydras.Ackermann.checkPrf]
p:937 [binder, in gaia_hydras.nfwfgaia]
p:94 [binder, in hydras.Ackermann.checkPrf]
p:94 [binder, in additions.Pow]
p:94 [binder, in Goedel.codeSysPrf]
p:95 [binder, in hydras.Ackermann.checkPrf]
p:951 [binder, in gaia_hydras.nfwfgaia]
p:953 [binder, in gaia_hydras.nfwfgaia]
p:96 [binder, in hydras.Prelude.MoreLists]
p:96 [binder, in hydras.Ackermann.checkPrf]
p:96 [binder, in additions.fib]
p:97 [binder, in hydras.Ackermann.checkPrf]
p:97 [binder, in additions.Pow]
p:99 [binder, in hydras.Prelude.MoreLists]
p:99 [binder, in hydras.Ackermann.checkPrf]
p:99 [binder, in hydras.Ackermann.folProp]

Q

Q [record, in hydras.Epsilon0.F_alpha]
QA [projection, in hydras.Epsilon0.F_alpha]
QA0 [lemma, in hydras.Epsilon0.F_alpha]
QD [projection, in hydras.Epsilon0.F_alpha]
QD0 [lemma, in hydras.Epsilon0.F_alpha]
QE [projection, in hydras.Epsilon0.F_alpha]
q':11 [binder, in hydras.Prelude.First_toggle]
q':30 [binder, in hydras.Prelude.More_Arith]
q':36 [binder, in hydras.Prelude.More_Arith]
q':59 [binder, in hydras.Prelude.More_Arith]
q':67 [binder, in hydras.rpo.dickson]
q:10 [binder, in additions.Strategies]
q:100 [binder, in hydras.Ackermann.codeSubFormula]
q:101 [binder, in hydras.Prelude.MoreLists]
q:101 [binder, in hydras.Ackermann.codeSubFormula]
q:105 [binder, in hydras.Ackermann.codeSubFormula]
q:106 [binder, in hydras.Ackermann.codeSubFormula]
q:107 [binder, in hydras.Ackermann.folProp]
q:108 [binder, in hydras.Ackermann.folProp]
q:113 [binder, in hydras.Ackermann.codeSubFormula]
q:114 [binder, in hydras.Ackermann.fol]
Q:114 [binder, in gaia_hydras.nfwfgaia]
q:115 [binder, in hydras.Ackermann.codeSubFormula]
q:12 [binder, in hydras.Prelude.First_toggle]
q:12 [binder, in hydras.MoreAck.AckNotPR]
q:121 [binder, in hydras.Ackermann.fol]
q:126 [binder, in hydras.Ackermann.fol]
q:13 [binder, in hydras.Prelude.First_toggle]
q:130 [binder, in hydras.Ackermann.folProp]
q:131 [binder, in hydras.Ackermann.fol]
q:132 [binder, in hydras.Ackermann.folProp]
q:14 [binder, in hydras.Prelude.First_toggle]
q:14 [binder, in additions.More_on_positive]
q:14 [binder, in additions.Trace_exercise]
q:15 [binder, in hydras.Prelude.More_Arith]
q:15 [binder, in hydras.Prelude.First_toggle]
Q:15 [binder, in hydras.Schutte.MoreEpsilonIota]
Q:15 [binder, in hydras.Schutte.PartialFun]
q:16 [binder, in additions.More_on_positive]
Q:162 [binder, in hydras.Ackermann.fol]
q:17 [binder, in hydras.Hydra.Omega2_Small]
q:172 [binder, in hydras.rpo.term]
q:173 [binder, in hydras.Ackermann.fol]
q:174 [binder, in hydras.Ackermann.fol]
q:176 [binder, in hydras.Ackermann.fol]
q:18 [binder, in additions.More_on_positive]
q:187 [binder, in hydras.Ackermann.fol]
q:19 [binder, in hydras.Prelude.MoreLists]
q:193 [binder, in hydras.Ackermann.fol]
q:21 [binder, in Goedel.rosser]
q:22 [binder, in hydras.Prelude.Simple_LexProd]
q:23 [binder, in additions.AM]
q:24 [binder, in Goedel.rosser]
q:24 [binder, in hydras.Prelude.Simple_LexProd]
Q:240 [binder, in hydras.Ackermann.fol]
q:255 [binder, in hydras.Ackermann.fol]
q:258 [binder, in hydras.Ackermann.fol]
q:259 [binder, in hydras.Ackermann.fol]
q:264 [binder, in hydras.Ackermann.subAll]
q:265 [binder, in hydras.Ackermann.subAll]
q:265 [binder, in hydras.Ackermann.fol]
q:266 [binder, in hydras.Ackermann.fol]
q:27 [binder, in hydras.Schutte.GRelations]
q:277 [binder, in hydras.Ackermann.fol]
q:279 [binder, in hydras.Ackermann.fol]
Q:280 [binder, in gaia_hydras.nfwfgaia]
q:286 [binder, in hydras.Ackermann.fol]
q:287 [binder, in hydras.Ackermann.fol]
q:29 [binder, in hydras.Prelude.More_Arith]
Q:290 [binder, in hydras.Ackermann.fol]
q:291 [binder, in additions.Euclidean_Chains]
q:296 [binder, in additions.Euclidean_Chains]
q:3 [binder, in hydras.Prelude.LibHyps_Experiments]
q:3 [binder, in hydras.MoreAck.PrimRecExamples]
q:30 [binder, in hydras.MoreAck.Ack]
q:301 [binder, in additions.Euclidean_Chains]
q:305 [binder, in hydras.Ackermann.fol]
q:308 [binder, in hydras.Ackermann.fol]
q:309 [binder, in hydras.Ackermann.fol]
q:31 [binder, in hydras.Schutte.GRelations]
q:315 [binder, in hydras.Ackermann.fol]
q:316 [binder, in hydras.Ackermann.fol]
q:317 [binder, in additions.Euclidean_Chains]
q:32 [binder, in Goedel.rosserPA]
q:327 [binder, in hydras.Ackermann.fol]
q:329 [binder, in hydras.Ackermann.fol]
q:332 [binder, in hydras.Ackermann.fol]
Q:336 [binder, in hydras.Ackermann.fol]
q:34 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
q:35 [binder, in hydras.Prelude.More_Arith]
q:35 [binder, in Goedel.rosserPA]
q:350 [binder, in hydras.rpo.term]
q:351 [binder, in hydras.Ackermann.fol]
q:354 [binder, in hydras.Ackermann.fol]
q:355 [binder, in hydras.Ackermann.fol]
q:361 [binder, in additions.Euclidean_Chains]
q:361 [binder, in hydras.Ackermann.fol]
q:362 [binder, in hydras.Ackermann.fol]
q:367 [binder, in additions.Euclidean_Chains]
q:37 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
q:373 [binder, in additions.Euclidean_Chains]
q:373 [binder, in hydras.Ackermann.fol]
q:375 [binder, in hydras.Ackermann.fol]
q:377 [binder, in hydras.Ackermann.fol]
q:380 [binder, in additions.Euclidean_Chains]
Q:380 [binder, in hydras.Ackermann.fol]
q:387 [binder, in additions.Euclidean_Chains]
q:393 [binder, in additions.Euclidean_Chains]
q:395 [binder, in hydras.Ackermann.fol]
q:398 [binder, in hydras.Ackermann.fol]
q:399 [binder, in hydras.Ackermann.fol]
Q:4 [binder, in hydras.Schutte.MoreEpsilonIota]
q:400 [binder, in additions.Euclidean_Chains]
q:405 [binder, in hydras.Ackermann.fol]
q:406 [binder, in hydras.Ackermann.fol]
q:417 [binder, in hydras.Ackermann.fol]
q:419 [binder, in hydras.Ackermann.fol]
q:422 [binder, in hydras.Ackermann.fol]
q:425 [binder, in hydras.Ackermann.fol]
q:43 [binder, in hydras.Prelude.More_Arith]
q:44 [binder, in additions.More_on_positive]
Q:447 [binder, in hydras.Gamma0.Gamma0]
q:46 [binder, in hydras.Prelude.More_Arith]
q:48 [binder, in additions.More_on_positive]
q:49 [binder, in additions.FirstSteps]
Q:504 [binder, in gaia_hydras.nfwfgaia]
q:52 [binder, in additions.More_on_positive]
q:53 [binder, in hydras.Ackermann.code]
q:55 [binder, in additions.More_on_positive]
q:58 [binder, in hydras.Prelude.More_Arith]
q:6 [binder, in hydras.Prelude.LibHyps_Experiments]
q:61 [binder, in hydras.Ackermann.folLogic3]
Q:616 [binder, in hydras.Gamma0.Gamma0]
q:62 [binder, in additions.More_on_positive]
q:65 [binder, in hydras.rpo.dickson]
q:667 [binder, in hydras.Ackermann.primRec]
q:67 [binder, in hydras.Ackermann.fol]
q:704 [binder, in hydras.Ackermann.primRec]
q:710 [binder, in hydras.Ackermann.primRec]
q:74 [binder, in hydras.Ackermann.fol]
q:79 [binder, in hydras.Ackermann.fol]
q:84 [binder, in hydras.Ackermann.fol]
q:873 [binder, in hydras.Ackermann.checkPrf]
q:876 [binder, in hydras.Ackermann.checkPrf]
q:9 [binder, in additions.Fib2]
q:90 [binder, in hydras.Ackermann.folProp]
q:94 [binder, in hydras.Ackermann.folProp]
q:95 [binder, in hydras.Ackermann.folProp]
q:97 [binder, in hydras.Ackermann.codeSubFormula]
q:98 [binder, in hydras.Prelude.MoreLists]

R

RAlim [lemma, in hydras.Epsilon0.F_alpha]
RAlim [lemma, in hydras.Epsilon0.Hprime]
RB [lemma, in hydras.Epsilon0.F_alpha]
RB [lemma, in hydras.Epsilon0.Hprime]
RBlim [lemma, in hydras.Epsilon0.F_alpha]
RBlim [lemma, in hydras.Epsilon0.Hprime]
RC [lemma, in hydras.Epsilon0.F_alpha]
RC [lemma, in hydras.Epsilon0.Hprime]
RClim [lemma, in hydras.Epsilon0.F_alpha]
RClim [lemma, in hydras.Epsilon0.Hprime]
RD [lemma, in hydras.Epsilon0.F_alpha]
RD [lemma, in hydras.Epsilon0.Hprime]
RDB:19 [binder, in hydras.Prelude.DecPreOrder_Instances]
RDlim [lemma, in hydras.Epsilon0.F_alpha]
RDlim [lemma, in hydras.Epsilon0.Hprime]
RE [lemma, in hydras.Epsilon0.F_alpha]
RE [lemma, in hydras.Epsilon0.Hprime]
reachable [definition, in hydras.Hydra.BigBattle]
reachable_S [lemma, in hydras.Hydra.BigBattle]
reassoc [definition, in hydras.Epsilon0.T1]
rebindExist [lemma, in hydras.Ackermann.folLogic2]
rebindForall [lemma, in hydras.Ackermann.folLogic2]
recf:16 [binder, in hydras.Ackermann.PA]
recs:100 [binder, in hydras.Ackermann.checkPrf]
recs:100 [binder, in hydras.Ackermann.codePA]
recs:1004 [binder, in hydras.Ackermann.codeSubFormula]
recs:1007 [binder, in hydras.Ackermann.codeSubFormula]
recs:101 [binder, in hydras.Ackermann.codeFreeVar]
recs:101 [binder, in hydras.Ackermann.codeSubTerm]
recs:1010 [binder, in hydras.Ackermann.codeSubFormula]
recs:1013 [binder, in hydras.Ackermann.codeSubFormula]
recs:1016 [binder, in hydras.Ackermann.codeSubFormula]
recs:1019 [binder, in hydras.Ackermann.codeSubFormula]
recs:102 [binder, in hydras.Ackermann.checkPrf]
recs:103 [binder, in hydras.Ackermann.codeSubTerm]
recs:103 [binder, in hydras.Ackermann.wellFormed]
recs:104 [binder, in hydras.Ackermann.checkPrf]
recs:104 [binder, in hydras.Ackermann.codePA]
recs:1048 [binder, in hydras.Ackermann.codeSubFormula]
recs:105 [binder, in hydras.Ackermann.codeSubTerm]
recs:105 [binder, in hydras.Ackermann.wellFormed]
recs:1051 [binder, in hydras.Ackermann.codeSubFormula]
recs:1054 [binder, in hydras.Ackermann.codeSubFormula]
recs:1057 [binder, in hydras.Ackermann.codeSubFormula]
recs:106 [binder, in hydras.Ackermann.codePA]
recs:1060 [binder, in hydras.Ackermann.codeSubFormula]
recs:1063 [binder, in hydras.Ackermann.codeSubFormula]
recs:1066 [binder, in hydras.Ackermann.codeSubFormula]
recs:1069 [binder, in hydras.Ackermann.codeSubFormula]
recs:107 [binder, in hydras.Ackermann.codeSubTerm]
recs:107 [binder, in hydras.Ackermann.wellFormed]
recs:1072 [binder, in hydras.Ackermann.codeSubFormula]
recs:1074 [binder, in hydras.Ackermann.codeSubFormula]
recs:1076 [binder, in hydras.Ackermann.codeSubFormula]
recs:1078 [binder, in hydras.Ackermann.codeSubFormula]
recs:108 [binder, in hydras.Ackermann.codePA]
recs:1080 [binder, in hydras.Ackermann.codeSubFormula]
recs:1082 [binder, in hydras.Ackermann.codeSubFormula]
recs:109 [binder, in hydras.Ackermann.codeSubTerm]
recs:109 [binder, in hydras.Ackermann.wellFormed]
recs:1092 [binder, in hydras.Ackermann.codeSubFormula]
recs:1094 [binder, in hydras.Ackermann.codeSubFormula]
recs:1096 [binder, in hydras.Ackermann.codeSubFormula]
recs:1098 [binder, in hydras.Ackermann.codeSubFormula]
recs:11 [binder, in hydras.Ackermann.codePA]
recs:110 [binder, in hydras.Ackermann.codePA]
recs:1100 [binder, in hydras.Ackermann.codeSubFormula]
recs:1102 [binder, in hydras.Ackermann.codeSubFormula]
recs:1104 [binder, in hydras.Ackermann.codeSubFormula]
recs:1106 [binder, in hydras.Ackermann.codeSubFormula]
recs:1108 [binder, in hydras.Ackermann.codeSubFormula]
recs:111 [binder, in hydras.Ackermann.codeFreeVar]
recs:111 [binder, in hydras.Ackermann.codeSubTerm]
recs:111 [binder, in hydras.Ackermann.wellFormed]
recs:1110 [binder, in hydras.Ackermann.codeSubFormula]
recs:1118 [binder, in hydras.Ackermann.codeSubFormula]
recs:112 [binder, in hydras.Ackermann.codePA]
recs:1120 [binder, in hydras.Ackermann.codeSubFormula]
recs:1122 [binder, in hydras.Ackermann.codeSubFormula]
recs:1124 [binder, in hydras.Ackermann.codeSubFormula]
recs:1126 [binder, in hydras.Ackermann.codeSubFormula]
recs:1128 [binder, in hydras.Ackermann.codeSubFormula]
recs:113 [binder, in hydras.Ackermann.codeFreeVar]
recs:113 [binder, in hydras.Ackermann.codeSubTerm]
recs:113 [binder, in hydras.Ackermann.wellFormed]
recs:1130 [binder, in hydras.Ackermann.codeSubFormula]
recs:1132 [binder, in hydras.Ackermann.codeSubFormula]
recs:1134 [binder, in hydras.Ackermann.codeSubFormula]
recs:1136 [binder, in hydras.Ackermann.codeSubFormula]
recs:1138 [binder, in hydras.Ackermann.codeSubFormula]
recs:114 [binder, in hydras.Ackermann.checkPrf]
recs:114 [binder, in hydras.Ackermann.codePA]
recs:1140 [binder, in hydras.Ackermann.codeSubFormula]
recs:1142 [binder, in hydras.Ackermann.codeSubFormula]
recs:1144 [binder, in hydras.Ackermann.codeSubFormula]
recs:115 [binder, in hydras.Ackermann.codeFreeVar]
recs:115 [binder, in hydras.Ackermann.codeSubTerm]
recs:1154 [binder, in hydras.Ackermann.codeSubFormula]
recs:1156 [binder, in hydras.Ackermann.codeSubFormula]
recs:1158 [binder, in hydras.Ackermann.codeSubFormula]
recs:116 [binder, in hydras.Ackermann.checkPrf]
recs:1160 [binder, in hydras.Ackermann.codeSubFormula]
recs:117 [binder, in hydras.Ackermann.codeFreeVar]
recs:118 [binder, in hydras.Ackermann.checkPrf]
recs:119 [binder, in hydras.Ackermann.codeFreeVar]
recs:120 [binder, in hydras.Ackermann.checkPrf]
recs:120 [binder, in hydras.Ackermann.codePA]
recs:121 [binder, in hydras.Ackermann.codeFreeVar]
recs:121 [binder, in hydras.Ackermann.wellFormed]
recs:122 [binder, in hydras.Ackermann.checkPrf]
recs:122 [binder, in hydras.Ackermann.codePA]
recs:1221 [binder, in hydras.Ackermann.codeSubFormula]
recs:1224 [binder, in hydras.Ackermann.codeSubFormula]
recs:123 [binder, in hydras.Ackermann.wellFormed]
recs:124 [binder, in hydras.Ackermann.checkPrf]
recs:124 [binder, in hydras.Ackermann.codePA]
recs:1240 [binder, in hydras.Ackermann.codeSubFormula]
recs:1243 [binder, in hydras.Ackermann.codeSubFormula]
recs:125 [binder, in hydras.Ackermann.wellFormed]
recs:126 [binder, in hydras.Ackermann.checkPrf]
recs:126 [binder, in hydras.Ackermann.codeSubFormula]
recs:126 [binder, in hydras.Ackermann.codePA]
recs:127 [binder, in hydras.Ackermann.wellFormed]
recs:128 [binder, in hydras.Ackermann.checkPrf]
recs:128 [binder, in hydras.Ackermann.codeSubFormula]
recs:128 [binder, in hydras.Ackermann.codePA]
recs:129 [binder, in hydras.Ackermann.wellFormed]
recs:1297 [binder, in hydras.Ackermann.codeSubFormula]
recs:13 [binder, in hydras.Ackermann.wellFormed]
recs:130 [binder, in hydras.Ackermann.codePA]
recs:1300 [binder, in hydras.Ackermann.codeSubFormula]
recs:131 [binder, in hydras.Ackermann.codeFreeVar]
recs:131 [binder, in hydras.Ackermann.wellFormed]
recs:133 [binder, in hydras.Ackermann.wellFormed]
recs:134 [binder, in hydras.Ackermann.codeFreeVar]
recs:134 [binder, in hydras.Ackermann.checkPrf]
recs:135 [binder, in hydras.Ackermann.wellFormed]
recs:136 [binder, in hydras.Ackermann.codeFreeVar]
recs:136 [binder, in hydras.Ackermann.checkPrf]
recs:137 [binder, in hydras.Ackermann.wellFormed]
recs:1371 [binder, in hydras.Ackermann.codeSubFormula]
recs:1374 [binder, in hydras.Ackermann.codeSubFormula]
recs:139 [binder, in hydras.Ackermann.wellFormed]
recs:14 [binder, in hydras.Ackermann.codePA]
recs:141 [binder, in hydras.Ackermann.codeSubFormula]
recs:141 [binder, in hydras.Ackermann.wellFormed]
recs:142 [binder, in hydras.Ackermann.checkPrf]
recs:143 [binder, in hydras.Ackermann.codeSubFormula]
recs:143 [binder, in hydras.Ackermann.wellFormed]
recs:144 [binder, in hydras.Ackermann.checkPrf]
recs:145 [binder, in hydras.Ackermann.wellFormed]
recs:146 [binder, in hydras.Ackermann.checkPrf]
recs:147 [binder, in hydras.Ackermann.wellFormed]
recs:147 [binder, in hydras.Ackermann.codePA]
recs:148 [binder, in hydras.Ackermann.codeFreeVar]
recs:148 [binder, in hydras.Ackermann.checkPrf]
recs:149 [binder, in hydras.Ackermann.wellFormed]
recs:15 [binder, in hydras.Ackermann.codeFreeVar]
recs:150 [binder, in hydras.Ackermann.codeFreeVar]
recs:150 [binder, in hydras.Ackermann.checkPrf]
recs:150 [binder, in hydras.Ackermann.codePA]
recs:151 [binder, in hydras.Ackermann.codeSubFormula]
recs:151 [binder, in hydras.Ackermann.wellFormed]
recs:152 [binder, in hydras.Ackermann.codeFreeVar]
recs:152 [binder, in hydras.Ackermann.checkPrf]
recs:154 [binder, in hydras.Ackermann.codeFreeVar]
recs:154 [binder, in hydras.Ackermann.checkPrf]
recs:156 [binder, in hydras.Ackermann.codeFreeVar]
recs:156 [binder, in hydras.Ackermann.checkPrf]
recs:158 [binder, in hydras.Ackermann.codeFreeVar]
recs:158 [binder, in hydras.Ackermann.checkPrf]
recs:159 [binder, in hydras.Ackermann.codeSubTerm]
recs:159 [binder, in hydras.Ackermann.codePA]
recs:160 [binder, in hydras.Ackermann.codeFreeVar]
recs:160 [binder, in hydras.Ackermann.checkPrf]
recs:161 [binder, in hydras.Ackermann.codeSubTerm]
recs:161 [binder, in hydras.Ackermann.wellFormed]
recs:161 [binder, in hydras.Ackermann.codePA]
recs:162 [binder, in hydras.Ackermann.codeFreeVar]
recs:162 [binder, in hydras.Ackermann.checkPrf]
recs:163 [binder, in hydras.Ackermann.codeSubTerm]
recs:163 [binder, in hydras.Ackermann.codeSubFormula]
recs:163 [binder, in hydras.Ackermann.wellFormed]
recs:164 [binder, in hydras.Ackermann.codeFreeVar]
recs:165 [binder, in hydras.Ackermann.codeSubTerm]
recs:165 [binder, in hydras.Ackermann.codeSubFormula]
recs:165 [binder, in hydras.Ackermann.wellFormed]
recs:166 [binder, in hydras.Ackermann.codeFreeVar]
recs:167 [binder, in hydras.Ackermann.codeSubTerm]
recs:167 [binder, in hydras.Ackermann.codeSubFormula]
recs:167 [binder, in hydras.Ackermann.wellFormed]
recs:168 [binder, in hydras.Ackermann.codeFreeVar]
recs:169 [binder, in hydras.Ackermann.codeSubTerm]
recs:169 [binder, in hydras.Ackermann.codeSubFormula]
recs:169 [binder, in hydras.Ackermann.wellFormed]
recs:17 [binder, in hydras.Ackermann.codeFreeVar]
recs:170 [binder, in hydras.Ackermann.codeFreeVar]
recs:171 [binder, in hydras.Ackermann.codeSubTerm]
recs:171 [binder, in hydras.Ackermann.codeSubFormula]
recs:171 [binder, in hydras.Ackermann.wellFormed]
recs:173 [binder, in hydras.Ackermann.codeSubTerm]
recs:173 [binder, in hydras.Ackermann.codeSubFormula]
recs:174 [binder, in hydras.Ackermann.codeFreeVar]
recs:175 [binder, in hydras.Ackermann.codeSubTerm]
recs:175 [binder, in hydras.Ackermann.codeSubFormula]
recs:176 [binder, in hydras.Ackermann.codeFreeVar]
recs:177 [binder, in hydras.Ackermann.codeSubTerm]
recs:177 [binder, in hydras.Ackermann.codeSubFormula]
recs:178 [binder, in hydras.Ackermann.codeFreeVar]
recs:180 [binder, in hydras.Ackermann.codeFreeVar]
recs:180 [binder, in hydras.Ackermann.codeSubTerm]
recs:181 [binder, in hydras.Ackermann.codeSubFormula]
recs:182 [binder, in hydras.Ackermann.codeFreeVar]
recs:183 [binder, in hydras.Ackermann.codeSubTerm]
recs:183 [binder, in hydras.Ackermann.codeSubFormula]
recs:184 [binder, in hydras.Ackermann.codeFreeVar]
recs:184 [binder, in hydras.Ackermann.checkPrf]
recs:185 [binder, in hydras.Ackermann.codeSubTerm]
recs:185 [binder, in hydras.Ackermann.codeSubFormula]
recs:186 [binder, in hydras.Ackermann.checkPrf]
recs:187 [binder, in hydras.Ackermann.codeSubTerm]
recs:187 [binder, in hydras.Ackermann.codeSubFormula]
recs:188 [binder, in hydras.Ackermann.codeFreeVar]
recs:188 [binder, in hydras.Ackermann.checkPrf]
recs:188 [binder, in hydras.Ackermann.wellFormed]
recs:189 [binder, in hydras.Ackermann.codeSubTerm]
recs:19 [binder, in hydras.Ackermann.codeFreeVar]
recs:19 [binder, in hydras.Ackermann.codeSubTerm]
recs:190 [binder, in hydras.Ackermann.codeFreeVar]
recs:190 [binder, in hydras.Ackermann.checkPrf]
recs:191 [binder, in hydras.Ackermann.codeSubTerm]
recs:191 [binder, in hydras.Ackermann.codeSubFormula]
recs:191 [binder, in hydras.Ackermann.wellFormed]
recs:192 [binder, in hydras.Ackermann.codeFreeVar]
recs:193 [binder, in hydras.Ackermann.codeSubTerm]
recs:193 [binder, in hydras.Ackermann.codeSubFormula]
recs:193 [binder, in hydras.Ackermann.wellFormed]
recs:194 [binder, in hydras.Ackermann.codeFreeVar]
recs:195 [binder, in hydras.Ackermann.codeSubTerm]
recs:196 [binder, in hydras.Ackermann.codeFreeVar]
recs:196 [binder, in hydras.Ackermann.checkPrf]
recs:198 [binder, in hydras.Ackermann.codeFreeVar]
recs:198 [binder, in hydras.Ackermann.checkPrf]
recs:200 [binder, in hydras.Ackermann.checkPrf]
recs:202 [binder, in hydras.Ackermann.checkPrf]
recs:203 [binder, in hydras.Ackermann.wellFormed]
recs:204 [binder, in hydras.Ackermann.codeFreeVar]
recs:204 [binder, in hydras.Ackermann.checkPrf]
recs:205 [binder, in hydras.Ackermann.codeSubTerm]
recs:205 [binder, in hydras.Ackermann.wellFormed]
recs:206 [binder, in hydras.Ackermann.codeFreeVar]
recs:206 [binder, in hydras.Ackermann.checkPrf]
recs:207 [binder, in hydras.Ackermann.codeSubTerm]
recs:207 [binder, in hydras.Ackermann.codeSubFormula]
recs:207 [binder, in hydras.Ackermann.wellFormed]
recs:208 [binder, in hydras.Ackermann.codeFreeVar]
recs:208 [binder, in hydras.Ackermann.checkPrf]
recs:209 [binder, in hydras.Ackermann.codeSubTerm]
recs:209 [binder, in hydras.Ackermann.wellFormed]
recs:21 [binder, in hydras.Ackermann.codeFreeVar]
recs:210 [binder, in hydras.Ackermann.codeFreeVar]
recs:210 [binder, in hydras.Ackermann.checkPrf]
recs:211 [binder, in hydras.Ackermann.codeSubTerm]
recs:211 [binder, in hydras.Ackermann.wellFormed]
recs:213 [binder, in hydras.Ackermann.wellFormed]
recs:214 [binder, in hydras.Ackermann.codeFreeVar]
recs:215 [binder, in hydras.Ackermann.codeSubFormula]
recs:215 [binder, in hydras.Ackermann.wellFormed]
recs:216 [binder, in hydras.Ackermann.codeFreeVar]
recs:216 [binder, in hydras.Ackermann.checkPrf]
recs:217 [binder, in hydras.Ackermann.wellFormed]
recs:218 [binder, in hydras.Ackermann.codeFreeVar]
recs:218 [binder, in hydras.Ackermann.checkPrf]
recs:219 [binder, in hydras.Ackermann.wellFormed]
recs:220 [binder, in hydras.Ackermann.codeFreeVar]
recs:220 [binder, in hydras.Ackermann.checkPrf]
recs:221 [binder, in hydras.Ackermann.wellFormed]
recs:222 [binder, in hydras.Ackermann.checkPrf]
recs:223 [binder, in hydras.Ackermann.wellFormed]
recs:225 [binder, in hydras.Ackermann.wellFormed]
recs:227 [binder, in hydras.Ackermann.codeSubFormula]
recs:227 [binder, in hydras.Ackermann.wellFormed]
recs:229 [binder, in hydras.Ackermann.codeSubFormula]
recs:229 [binder, in hydras.Ackermann.wellFormed]
recs:23 [binder, in hydras.Ackermann.codeSubTerm]
recs:23 [binder, in hydras.Ackermann.codePA]
recs:230 [binder, in hydras.Ackermann.codeFreeVar]
recs:231 [binder, in hydras.Ackermann.codeSubFormula]
recs:231 [binder, in hydras.Ackermann.wellFormed]
recs:232 [binder, in hydras.Ackermann.codeFreeVar]
recs:232 [binder, in hydras.Ackermann.checkPrf]
recs:233 [binder, in hydras.Ackermann.codeSubFormula]
recs:233 [binder, in hydras.Ackermann.wellFormed]
recs:234 [binder, in hydras.Ackermann.codeFreeVar]
recs:235 [binder, in hydras.Ackermann.codeSubFormula]
recs:236 [binder, in hydras.Ackermann.codeFreeVar]
recs:236 [binder, in hydras.Ackermann.wellFormed]
recs:238 [binder, in hydras.Ackermann.codeSubFormula]
recs:239 [binder, in hydras.Ackermann.wellFormed]
recs:24 [binder, in hydras.Ackermann.wellFormed]
recs:240 [binder, in hydras.Ackermann.codeSubFormula]
recs:241 [binder, in hydras.Ackermann.wellFormed]
recs:242 [binder, in hydras.Ackermann.codeSubFormula]
recs:243 [binder, in hydras.Ackermann.wellFormed]
recs:244 [binder, in hydras.Ackermann.codeFreeVar]
recs:244 [binder, in hydras.Ackermann.codeSubFormula]
recs:245 [binder, in hydras.Ackermann.wellFormed]
recs:246 [binder, in hydras.Ackermann.codeFreeVar]
recs:246 [binder, in hydras.Ackermann.codeSubFormula]
recs:247 [binder, in hydras.Ackermann.wellFormed]
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recs:865 [binder, in hydras.Ackermann.codeSubFormula]
recs:868 [binder, in hydras.Ackermann.checkPrf]
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recs:870 [binder, in hydras.Ackermann.checkPrf]
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recs:889 [binder, in hydras.Ackermann.codeSubFormula]
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recs:902 [binder, in hydras.Ackermann.codeSubFormula]
recs:905 [binder, in hydras.Ackermann.codeSubFormula]
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recs:929 [binder, in hydras.Ackermann.codeSubFormula]
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recs:93 [binder, in hydras.Ackermann.codeSubTerm]
recs:932 [binder, in hydras.Ackermann.codeSubFormula]
recs:94 [binder, in hydras.Ackermann.codePA]
recs:941 [binder, in hydras.Ackermann.codeSubFormula]
recs:944 [binder, in hydras.Ackermann.codeSubFormula]
recs:947 [binder, in hydras.Ackermann.codeSubFormula]
recs:95 [binder, in hydras.Ackermann.codeFreeVar]
recs:95 [binder, in hydras.Ackermann.codeSubTerm]
recs:950 [binder, in hydras.Ackermann.codeSubFormula]
recs:953 [binder, in hydras.Ackermann.codeSubFormula]
recs:956 [binder, in hydras.Ackermann.codeSubFormula]
recs:959 [binder, in hydras.Ackermann.codeSubFormula]
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recs:962 [binder, in hydras.Ackermann.codeSubFormula]
recs:965 [binder, in hydras.Ackermann.codeSubFormula]
recs:968 [binder, in hydras.Ackermann.codeSubFormula]
recs:97 [binder, in hydras.Ackermann.codeFreeVar]
recs:97 [binder, in hydras.Ackermann.codeSubTerm]
recs:971 [binder, in hydras.Ackermann.codeSubFormula]
recs:974 [binder, in hydras.Ackermann.codeSubFormula]
recs:977 [binder, in hydras.Ackermann.codeSubFormula]
recs:98 [binder, in hydras.Ackermann.checkPrf]
recs:98 [binder, in hydras.Ackermann.codePA]
recs:982 [binder, in hydras.Ackermann.codeSubFormula]
recs:985 [binder, in hydras.Ackermann.codeSubFormula]
recs:988 [binder, in hydras.Ackermann.codeSubFormula]
recs:99 [binder, in hydras.Ackermann.codeFreeVar]
recs:99 [binder, in hydras.Ackermann.codeSubTerm]
recs:991 [binder, in hydras.Ackermann.codeSubFormula]
recs:994 [binder, in hydras.Ackermann.codeSubFormula]
recs:997 [binder, in hydras.Ackermann.codeSubFormula]
rec:10 [binder, in hydras.Ackermann.codeNatToTerm]
rec:100 [binder, in Goedel.rosserPA]
rec:102 [binder, in Goedel.rosserPA]
rec:104 [binder, in Goedel.rosserPA]
rec:106 [binder, in Goedel.rosserPA]
rec:108 [binder, in Goedel.rosserPA]
rec:11 [binder, in hydras.Ackermann.codeNatToTerm]
rec:12 [binder, in hydras.Ackermann.codeNatToTerm]
rec:1268 [binder, in hydras.Ackermann.codeSubFormula]
rec:1269 [binder, in hydras.Ackermann.codeSubFormula]
rec:1270 [binder, in hydras.Ackermann.codeSubFormula]
rec:1271 [binder, in hydras.Ackermann.codeSubFormula]
rec:1272 [binder, in hydras.Ackermann.codeSubFormula]
rec:1273 [binder, in hydras.Ackermann.codeSubFormula]
rec:1274 [binder, in hydras.Ackermann.codeSubFormula]
rec:1275 [binder, in hydras.Ackermann.codeSubFormula]
rec:1276 [binder, in hydras.Ackermann.codeSubFormula]
rec:1277 [binder, in hydras.Ackermann.codeSubFormula]
rec:1278 [binder, in hydras.Ackermann.codeSubFormula]
rec:1279 [binder, in hydras.Ackermann.codeSubFormula]
rec:1280 [binder, in hydras.Ackermann.codeSubFormula]
rec:13 [binder, in hydras.Ackermann.codeNatToTerm]
rec:1311 [binder, in hydras.Ackermann.codeSubFormula]
rec:1312 [binder, in hydras.Ackermann.codeSubFormula]
rec:1317 [binder, in hydras.Ackermann.codeSubFormula]
rec:1322 [binder, in hydras.Ackermann.codeSubFormula]
rec:1325 [binder, in hydras.Ackermann.codeSubFormula]
rec:1328 [binder, in hydras.Ackermann.codeSubFormula]
rec:1331 [binder, in hydras.Ackermann.codeSubFormula]
rec:1334 [binder, in hydras.Ackermann.codeSubFormula]
rec:1337 [binder, in hydras.Ackermann.codeSubFormula]
rec:1340 [binder, in hydras.Ackermann.codeSubFormula]
rec:1341 [binder, in hydras.Ackermann.codeSubFormula]
rec:1342 [binder, in hydras.Ackermann.codeSubFormula]
rec:1343 [binder, in hydras.Ackermann.codeSubFormula]
rec:1344 [binder, in hydras.Ackermann.codeSubFormula]
rec:1345 [binder, in hydras.Ackermann.codeSubFormula]
rec:1346 [binder, in hydras.Ackermann.codeSubFormula]
rec:1347 [binder, in hydras.Ackermann.codeSubFormula]
rec:137 [binder, in Goedel.PRrepresentable]
rec:14 [binder, in hydras.Prelude.Iterates]
rec:14 [binder, in hydras.Ackermann.codeNatToTerm]
rec:148 [binder, in Goedel.PRrepresentable]
rec:15 [binder, in hydras.Ackermann.codeNatToTerm]
rec:159 [binder, in Goedel.PRrepresentable]
rec:160 [binder, in hydras.Ackermann.fol]
rec:166 [binder, in hydras.Ackermann.fol]
rec:242 [binder, in Goedel.PRrepresentable]
rec:248 [binder, in Goedel.PRrepresentable]
rec:29 [binder, in hydras.Ackermann.Languages]
rec:30 [binder, in Goedel.rosser]
rec:32 [binder, in Goedel.rosser]
rec:34 [binder, in hydras.Ackermann.Languages]
rec:36 [binder, in Goedel.codeSysPrf]
rec:38 [binder, in Goedel.codeSysPrf]
rec:39 [binder, in Goedel.rosser]
rec:44 [binder, in Goedel.rosser]
rec:46 [binder, in Goedel.codeSysPrf]
rec:463 [binder, in Goedel.PRrepresentable]
rec:471 [binder, in Goedel.PRrepresentable]
rec:48 [binder, in Goedel.codeSysPrf]
rec:49 [binder, in Goedel.rosser]
rec:54 [binder, in Goedel.rosser]
rec:540 [binder, in hydras.Ackermann.checkPrf]
rec:543 [binder, in hydras.Ackermann.checkPrf]
rec:547 [binder, in hydras.Ackermann.checkPrf]
rec:550 [binder, in hydras.Ackermann.checkPrf]
rec:552 [binder, in hydras.Ackermann.checkPrf]
rec:554 [binder, in hydras.Ackermann.checkPrf]
rec:556 [binder, in hydras.Ackermann.checkPrf]
rec:558 [binder, in hydras.Ackermann.checkPrf]
rec:56 [binder, in Goedel.rosser]
rec:560 [binder, in hydras.Ackermann.checkPrf]
rec:58 [binder, in Goedel.rosser]
rec:580 [binder, in hydras.Ackermann.primRec]
rec:581 [binder, in hydras.Ackermann.primRec]
rec:582 [binder, in hydras.Ackermann.primRec]
rec:583 [binder, in hydras.Ackermann.primRec]
rec:591 [binder, in hydras.Ackermann.checkPrf]
rec:593 [binder, in hydras.Ackermann.checkPrf]
rec:595 [binder, in hydras.Ackermann.checkPrf]
rec:597 [binder, in hydras.Ackermann.checkPrf]
rec:599 [binder, in hydras.Ackermann.checkPrf]
rec:6 [binder, in hydras.Ackermann.codeNatToTerm]
rec:60 [binder, in Goedel.rosserPA]
rec:601 [binder, in hydras.Ackermann.checkPrf]
rec:603 [binder, in hydras.Ackermann.checkPrf]
rec:605 [binder, in hydras.Ackermann.checkPrf]
rec:607 [binder, in hydras.Ackermann.checkPrf]
rec:62 [binder, in Goedel.rosserPA]
rec:62 [binder, in Goedel.rosser]
rec:620 [binder, in hydras.Ackermann.checkPrf]
rec:622 [binder, in hydras.Ackermann.checkPrf]
rec:624 [binder, in hydras.Ackermann.checkPrf]
rec:626 [binder, in hydras.Ackermann.checkPrf]
rec:628 [binder, in hydras.Ackermann.checkPrf]
rec:630 [binder, in hydras.Ackermann.checkPrf]
rec:632 [binder, in hydras.Ackermann.checkPrf]
rec:634 [binder, in hydras.Ackermann.checkPrf]
rec:636 [binder, in hydras.Ackermann.checkPrf]
rec:64 [binder, in Goedel.rosser]
rec:69 [binder, in Goedel.rosserPA]
rec:7 [binder, in hydras.Ackermann.codeNatToTerm]
rec:74 [binder, in Goedel.rosserPA]
rec:79 [binder, in Goedel.rosserPA]
rec:795 [binder, in hydras.Ackermann.checkPrf]
rec:8 [binder, in hydras.Ackermann.codeNatToTerm]
rec:801 [binder, in hydras.Ackermann.checkPrf]
rec:808 [binder, in hydras.Ackermann.checkPrf]
rec:81 [binder, in hydras.Ackermann.codeSubFormula]
rec:812 [binder, in hydras.Ackermann.checkPrf]
rec:816 [binder, in hydras.Ackermann.primRec]
rec:84 [binder, in Goedel.rosserPA]
rec:86 [binder, in Goedel.rosserPA]
rec:88 [binder, in Goedel.rosserPA]
rec:9 [binder, in hydras.Ackermann.codeNatToTerm]
rec:95 [binder, in Goedel.rosserPA]
reduceAddExists [lemma, in Goedel.PRrepresentable]
reduceAddExistsOneWay [lemma, in Goedel.PRrepresentable]
reduceAddForalls [lemma, in Goedel.PRrepresentable]
reduceAnd [lemma, in hydras.Ackermann.folReplace]
reduceCloseList [lemma, in hydras.Ackermann.folReplace]
reduceExist [lemma, in hydras.Ackermann.folReplace]
reduceForall [lemma, in hydras.Ackermann.folReplace]
reduceIff [lemma, in hydras.Ackermann.folReplace]
reduceIfThenElse [lemma, in hydras.Ackermann.folReplace]
reduceImp [lemma, in hydras.Ackermann.folReplace]
reduceNot [lemma, in hydras.Ackermann.folReplace]
reduceOr [lemma, in hydras.Ackermann.folReplace]
reduceSub [lemma, in hydras.Ackermann.folReplace]
reduceSubAll [lemma, in hydras.Ackermann.subAll]
reduce_lt_plus [lemma, in hydras.Epsilon0.T1]
reduce_assoc_list [lemma, in hydras.rpo.more_list]
reduce1stCompose [lemma, in hydras.Ackermann.primRec]
reduce2ndCompose [lemma, in hydras.Ackermann.primRec]
Refinement_proof.E_eq [variable, in additions.Addition_Chains]
Refinement_proof.E_one [variable, in additions.Addition_Chains]
Refinement_proof.E_op [variable, in additions.Addition_Chains]
Refinement_proof.A [variable, in additions.Addition_Chains]
Refinement_proof [section, in additions.Addition_Chains]
refinesPred [definition, in gaia_hydras.T1Bridge]
refinesRel [definition, in gaia_hydras.T1Bridge]
refines0 [definition, in gaia_hydras.T1Bridge]
refines1 [definition, in gaia_hydras.T1Bridge]
refines1_R [lemma, in gaia_hydras.T1Bridge]
refines2 [definition, in gaia_hydras.T1Bridge]
refines2_R [lemma, in gaia_hydras.T1Bridge]
reflection [abbreviation, in Goedel.goedel1]
rel [projection, in hydras.Ackermann.model]
Relations [projection, in hydras.Ackermann.fol]
RelDecision [record, in hydras.Prelude.STDPP_compat]
RelDecision [inductive, in hydras.Prelude.STDPP_compat]
RelDecision_Inverse_fun [instance, in hydras.Prelude.DecPreOrder_Instances]
RElim [lemma, in hydras.Epsilon0.F_alpha]
RElim [lemma, in hydras.Epsilon0.Hprime]
rel_surj_i [constructor, in hydras.Schutte.GRelations]
rel_surjection [inductive, in hydras.Schutte.GRelations]
rel_inj_i [constructor, in hydras.Schutte.GRelations]
rel_injection [inductive, in hydras.Schutte.GRelations]
rel_inv [definition, in hydras.Schutte.PartialFun]
rel_bij_i [constructor, in hydras.Schutte.PartialFun]
rel_bijection [inductive, in hydras.Schutte.PartialFun]
rel_inj_i [constructor, in hydras.Schutte.PartialFun]
rel_injection [inductive, in hydras.Schutte.PartialFun]
rel_inj [definition, in hydras.Schutte.PartialFun]
rel_onto [definition, in hydras.Schutte.PartialFun]
rel_functional [definition, in hydras.Schutte.PartialFun]
rel_codomain [definition, in hydras.Schutte.PartialFun]
rel_domain [definition, in hydras.Schutte.PartialFun]
rel_enumerates [definition, in hydras.Schutte.Countable]
rel_numbers [definition, in hydras.Schutte.Countable]
rem [abbreviation, in Goedel.PRrepresentable]
Remaining [constructor, in hydras.Epsilon0.Large_Sets_Examples]
remove [definition, in hydras.rpo.more_list]
remove_first_sumand [lemma, in hydras.Epsilon0.T1]
remove_list [definition, in hydras.rpo.more_list]
remove_heads_r_free [lemma, in hydras.Hydra.Hydra_Lemmas]
remove_heads_r [lemma, in hydras.Hydra.Hydra_Lemmas]
Rem0 [lemma, in hydras.Epsilon0.Paths]
Rem01 [lemma, in hydras.Epsilon0.Paths]
Rem02 [lemma, in hydras.Epsilon0.Paths]
Rem03 [lemma, in hydras.Epsilon0.Paths]
Rem04 [lemma, in hydras.Epsilon0.Paths]
Rem05 [lemma, in hydras.Epsilon0.Paths]
Rem06 [lemma, in hydras.Epsilon0.Paths]
Rem08 [lemma, in hydras.Epsilon0.Paths]
Rem09 [lemma, in hydras.Epsilon0.Paths]
rem1 [lemma, in hydras.Hydra.O2H]
Rem1 [lemma, in hydras.MoreAck.Ack]
Rem1 [lemma, in hydras.Epsilon0.Paths]
Rem10 [lemma, in hydras.Epsilon0.Paths]
Rem11 [lemma, in hydras.Epsilon0.Paths]
rem2 [lemma, in hydras.Hydra.O2H]
Rem2 [lemma, in hydras.MoreAck.Ack]
Rem2 [lemma, in hydras.Epsilon0.Paths]
rem3 [lemma, in hydras.Hydra.O2H]
Rem3 [lemma, in hydras.MoreAck.Ack]
Rem3 [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
Rem4 [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
rem6 [lemma, in hydras.Hydra.O2H]
rem61 [lemma, in hydras.Hydra.O2H]
rem62 [lemma, in hydras.Hydra.O2H]
rep [definition, in hydras.OrdinalNotations.ON_Generic]
replaceCompose2 [lemma, in hydras.Ackermann.primRec]
ReplaceFormulaTerm [definition, in hydras.Ackermann.codeSubFormula]
ReplaceFormulaTermIsPR [instance, in hydras.Ackermann.codeSubFormula]
ReplaceFormulaTermMonotone [lemma, in hydras.Ackermann.codeSubFormula]
ReplaceFormulaTermSub [lemma, in hydras.Ackermann.codeSubFormula]
Replacement [section, in hydras.Ackermann.folReplace]
Replacement.Formula [variable, in hydras.Ackermann.folReplace]
Replacement.Formulas [variable, in hydras.Ackermann.folReplace]
Replacement.L [variable, in hydras.Ackermann.folReplace]
Replacement.SysPrf [variable, in hydras.Ackermann.folReplace]
Replacement.System [variable, in hydras.Ackermann.folReplace]
Replacement.Term [variable, in hydras.Ackermann.folReplace]
Replacement.Terms [variable, in hydras.Ackermann.folReplace]
ReplaceTermsTerm [definition, in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermIsPR [instance, in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermMonotone [lemma, in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermSub [lemma, in hydras.Ackermann.codeSubFormula]
ReplaceTermTerm [definition, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermIsPR [instance, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermMonotone [lemma, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTerm [definition, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTermIsPR [instance, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTermMonotone [lemma, in hydras.Ackermann.codeSubFormula]
ReplaceTermTermSub [lemma, in hydras.Ackermann.codeSubFormula]
replace_at_pos_list:338 [binder, in hydras.rpo.term]
replace_at_pos_list:160 [binder, in hydras.rpo.term]
Representable [definition, in Goedel.PRrepresentable]
Representable [definition, in hydras.Ackermann.expressible]
RepresentableAlternate [definition, in Goedel.PRrepresentable]
RepresentableAlternate [lemma, in hydras.Ackermann.expressible]
RepresentableExpressible [section, in hydras.Ackermann.expressible]
RepresentableExpressible.closedT1 [variable, in hydras.Ackermann.expressible]
RepresentableExpressible.nn1 [variable, in hydras.Ackermann.expressible]
RepresentableExpressible.T [variable, in hydras.Ackermann.expressible]
RepresentableHalfHelp [lemma, in hydras.Ackermann.expressible]
RepresentableHalf1 [definition, in hydras.Ackermann.expressible]
RepresentableHalf1Alternate [lemma, in hydras.Ackermann.expressible]
RepresentableHalf2 [definition, in hydras.Ackermann.expressible]
RepresentableHalf2Alternate [lemma, in hydras.Ackermann.expressible]
RepresentableHelp [definition, in Goedel.PRrepresentable]
RepresentableHelp [definition, in hydras.Ackermann.expressible]
RepresentablesHelp [definition, in Goedel.PRrepresentable]
Representable_ext [definition, in Goedel.PRrepresentable]
Representable_ext [lemma, in hydras.Ackermann.expressible]
Representable2Expressible [lemma, in hydras.Ackermann.expressible]
RepresentsInSelf [definition, in Goedel.rosser]
rep:66 [binder, in Goedel.rosser]
restrict [definition, in hydras.Prelude.Restriction]
restrict [definition, in gaia_hydras.onType]
restrict [lemma, in hydras.Schutte.Ordering_Functions]
restrict [definition, in gaia_hydras.nfwfgaia]
restricted_recursion.R [variable, in hydras.Prelude.Restriction]
restricted_recursion.E [variable, in hydras.Prelude.Restriction]
restricted_recursion.A [variable, in hydras.Prelude.Restriction]
restricted_recursion [section, in hydras.Prelude.Restriction]
restricted_recursion.R [variable, in gaia_hydras.nfwfgaia]
restricted_recursion.P [variable, in gaia_hydras.nfwfgaia]
restricted_recursion.A [variable, in gaia_hydras.nfwfgaia]
restricted_recursion [section, in gaia_hydras.nfwfgaia]
Restriction [library]
restriction_fwd [lemma, in hydras.Prelude.Restriction]
restrict_build [definition, in hydras.Prelude.Restriction]
rest:3 [binder, in hydras.Epsilon0.Large_Sets_Examples]
rest:63 [binder, in hydras.Ackermann.codeSubFormula]
result_equiv_equiv [instance, in additions.AM]
result_equiv_success [constructor, in additions.AM]
result_equiv_fail [constructor, in additions.AM]
result_equiv [inductive, in additions.AM]
Return [constructor, in additions.Addition_Chains]
Return_proper [instance, in additions.Euclidean_Chains]
rosser [library]
rosserPA [library]
Rosser'sIncompleteness [lemma, in Goedel.rosserPA]
Rosser'sIncompleteness [lemma, in Goedel.rosser]
Rosser's_Incompleteness.expressT2 [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.expressT1 [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.freeVarRepT [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.v0 [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.repT [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.extendsPA [variable, in Goedel.rosserPA]
Rosser's_Incompleteness.T [variable, in Goedel.rosserPA]
Rosser's_Incompleteness [section, in Goedel.rosserPA]
Rosser's_Incompleteness.expressT2 [variable, in Goedel.rosser]
Rosser's_Incompleteness.expressT1 [variable, in Goedel.rosser]
Rosser's_Incompleteness.freeVarRepT [variable, in Goedel.rosser]
Rosser's_Incompleteness.v0 [variable, in Goedel.rosser]
Rosser's_Incompleteness.repT [variable, in Goedel.rosser]
Rosser's_Incompleteness.extendsNN [variable, in Goedel.rosser]
Rosser's_Incompleteness.T [variable, in Goedel.rosser]
Rosser's_Incompleteness [section, in Goedel.rosser]
round [projection, in hydras.Hydra.BigBattle]
round [definition, in hydras.Hydra.Hydra_Definitions]
rounds [inductive, in hydras.Hydra.Hydra_Definitions]
rounds_free_equiv2 [lemma, in hydras.Hydra.Hydra_Lemmas]
rounds_free_equiv1 [lemma, in hydras.Hydra.Hydra_Lemmas]
rounds_trans [lemma, in hydras.Hydra.Hydra_Lemmas]
rounds_n [constructor, in hydras.Hydra.Hydra_Definitions]
rounds_1 [constructor, in hydras.Hydra.Hydra_Definitions]
round_decr [lemma, in hydras.Hydra.Hydra_Termination]
round_n_inv [lemma, in hydras.Hydra.Hydra_Lemmas]
round_n_remove_h [lemma, in hydras.Hydra.Hydra_Lemmas]
round_plus_trans [lemma, in hydras.Hydra.Hydra_Lemmas]
round_S [lemma, in hydras.Hydra.Omega_Small]
round_t [definition, in hydras.Hydra.Hydra_Definitions]
round_spec [definition, in hydras.Hydra.Hydra_Definitions]
round_star_intro [lemma, in hydras.Hydra.Hydra_Definitions]
round_star [definition, in hydras.Hydra.Hydra_Definitions]
round_plus [definition, in hydras.Hydra.Hydra_Definitions]
round_n [definition, in hydras.Hydra.Hydra_Definitions]
RP [lemma, in hydras.Epsilon0.F_alpha]
RP [lemma, in hydras.Epsilon0.Hprime]
RPO [module, in hydras.rpo.rpo]
rpo [library]
rpo_7_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_6_4 [lemma, in hydras.Gamma0.Gamma0]
rpo_6_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_5_4 [lemma, in hydras.Gamma0.Gamma0]
rpo_5_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_5_3 [lemma, in hydras.Gamma0.Gamma0]
rpo_5_2 [lemma, in hydras.Gamma0.Gamma0]
rpo_4_4 [lemma, in hydras.Gamma0.Gamma0]
rpo_4_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_4_3 [lemma, in hydras.Gamma0.Gamma0]
rpo_4_2 [lemma, in hydras.Gamma0.Gamma0]
rpo_3_4 [lemma, in hydras.Gamma0.Gamma0]
rpo_3_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_3_3 [lemma, in hydras.Gamma0.Gamma0]
rpo_3_2 [lemma, in hydras.Gamma0.Gamma0]
rpo_2_4 [lemma, in hydras.Gamma0.Gamma0]
rpo_2_1 [lemma, in hydras.Gamma0.Gamma0]
rpo_2_3 [lemma, in hydras.Gamma0.Gamma0]
rpo_2_2 [lemma, in hydras.Gamma0.Gamma0]
rpo_trans [lemma, in hydras.Gamma0.Gamma0]
RPO.Eq [constructor, in hydras.rpo.rpo]
RPO.List_mul [constructor, in hydras.rpo.rpo]
RPO.List_eq [constructor, in hydras.rpo.rpo]
RPO.List_gt [constructor, in hydras.rpo.rpo]
RPO.LP [module, in hydras.rpo.rpo]
RPO.Lt [constructor, in hydras.rpo.rpo]
RPO.P [module, in hydras.rpo.rpo]
RPO.rpo [inductive, in hydras.rpo.rpo]
RPO.rpo_add_context [axiom, in hydras.rpo.rpo]
RPO.rpo_subst [axiom, in hydras.rpo.rpo]
RPO.rpo_trans [axiom, in hydras.rpo.rpo]
RPO.rpo_closure [axiom, in hydras.rpo.rpo]
RPO.rpo_mul [inductive, in hydras.rpo.rpo]
RPO.rpo_lex [inductive, in hydras.rpo.rpo]
RPO.rpo_eq [inductive, in hydras.rpo.rpo]
RPO.Subterm [constructor, in hydras.rpo.rpo]
RPO.T [module, in hydras.rpo.rpo]
RPO.Top_eq_mul [constructor, in hydras.rpo.rpo]
RPO.Top_eq_lex [constructor, in hydras.rpo.rpo]
RPO.Top_gt [constructor, in hydras.rpo.rpo]
RPO.wf_rpo [axiom, in hydras.rpo.rpo]
rt:9 [binder, in hydras.Prelude.DecPreOrder]
Rwf [lemma, in hydras.Prelude.First_toggle]
R_given.R [variable, in hydras.Prelude.Sort_spec]
R_given.A [variable, in hydras.Prelude.Sort_spec]
R_given [section, in hydras.Prelude.Sort_spec]
R_nat_elaguee_domain [lemma, in hydras.Schutte.GRelations]
R_nat_elaguee_fun [lemma, in hydras.Schutte.GRelations]
R_nat_elaguee [definition, in hydras.Schutte.GRelations]
R_inv_inj [lemma, in hydras.Schutte.GRelations]
R_inv [definition, in hydras.Schutte.GRelations]
R_inv_surj [lemma, in hydras.Schutte.GRelations]
R_pred_Sn [lemma, in hydras.Gamma0.Gamma0]
R_inc_rpo [lemma, in hydras.Gamma0.Gamma0]
r':32 [binder, in hydras.Prelude.More_Arith]
r':38 [binder, in hydras.Prelude.More_Arith]
R':550 [binder, in hydras.Ackermann.primRec]
R':564 [binder, in hydras.Ackermann.primRec]
r':61 [binder, in hydras.Prelude.More_Arith]
r':90 [binder, in hydras.Hydra.Hydra_Definitions]
R0 [lemma, in hydras.MoreAck.Ack]
R0 [lemma, in hydras.Hydra.Battle_length]
R0 [lemma, in gaia_hydras.onType]
R0 [lemma, in hydras.Epsilon0.Hprime]
R00 [lemma, in hydras.Epsilon0.F_omega]
R00 [lemma, in hydras.solutions_exercises.isqrt]
R01 [instance, in hydras.Epsilon0.F_omega]
R01 [lemma, in hydras.solutions_exercises.isqrt]
R02 [instance, in hydras.Epsilon0.F_omega]
R02 [lemma, in hydras.solutions_exercises.isqrt]
R03 [instance, in hydras.Epsilon0.F_omega]
R1 [lemma, in hydras.solutions_exercises.is_F_monotonous]
R1 [lemma, in hydras.Epsilon0.F_alpha]
R1 [lemma, in hydras.MoreAck.AckNotPR]
R1 [lemma, in hydras.Epsilon0.Large_Sets]
R1 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
R1 [lemma, in hydras.MoreAck.Ack]
R1 [lemma, in hydras.solutions_exercises.schutte_cnf_counter_example]
R1 [lemma, in gaia_hydras.onType]
R1 [lemma, in hydras.solutions_exercises.F_3]
R1 [lemma, in hydras.Epsilon0.Hprime]
R1 [definition, in hydras.Schutte.Ordering_Functions]
R1 [lemma, in hydras.Gamma0.Gamma0]
R1 [lemma, in hydras.MoreAck.FolExamples]
R1 [inductive, in hydras.Hydra.Hydra_Definitions]
R1_mem_head [lemma, in hydras.Hydra.O2H]
R1_R2 [lemma, in hydras.Hydra.O2H]
R1_hcons_mult [lemma, in hydras.Hydra.O2H]
R1_hcons [lemma, in hydras.Hydra.O2H]
R1_decr [lemma, in hydras.Hydra.Hydra_Termination]
R1_decr_0 [lemma, in hydras.Hydra.Hydra_Termination]
R1_remove_r_i [lemma, in hydras.Hydra.Hydra_Lemmas]
R1_app [lemma, in hydras.Hydra.Hydra_Lemmas]
R1_iff [lemma, in hydras.Hydra.Hydra_Lemmas]
R1_aux [lemma, in hydras.Schutte.Ordering_Functions]
R1_intro [constructor, in hydras.Hydra.Hydra_Definitions]
R12 [lemma, in hydras.Epsilon0.Paths]
R13 [lemma, in hydras.Epsilon0.Paths]
R14 [lemma, in hydras.Epsilon0.Paths]
R15 [lemma, in hydras.Epsilon0.Paths]
R16 [lemma, in hydras.Epsilon0.Paths]
R17 [lemma, in hydras.Epsilon0.Paths]
R18 [lemma, in hydras.Epsilon0.Paths]
R19 [lemma, in hydras.Epsilon0.Paths]
R1:2 [binder, in additions.Wf_transparent]
r1:41 [binder, in hydras.Gamma0.Gamma0]
r1:49 [binder, in hydras.Gamma0.Gamma0]
r1:57 [binder, in hydras.Gamma0.Gamma0]
r1:65 [binder, in hydras.Gamma0.Gamma0]
R2 [lemma, in hydras.solutions_exercises.is_F_monotonous]
R2 [instance, in hydras.MoreAck.AckNotPR]
R2 [lemma, in hydras.Epsilon0.Large_Sets]
R2 [lemma, in hydras.MoreAck.Ack]
R2 [lemma, in hydras.solutions_exercises.schutte_cnf_counter_example]
R2 [lemma, in hydras.Hydra.Battle_length]
R2 [lemma, in hydras.Epsilon0.Hprime]
R2 [lemma, in hydras.Schutte.Ordering_Functions]
R2 [lemma, in hydras.Gamma0.Gamma0]
R2 [inductive, in hydras.Hydra.Hydra_Definitions]
r2i [definition, in hydras.Schutte.PartialFun]
R2_decr [lemma, in hydras.Hydra.Hydra_Termination]
R2_decr_0 [lemma, in hydras.Hydra.Hydra_Termination]
R2_app [lemma, in hydras.Hydra.Hydra_Lemmas]
R2_ind2 [definition, in hydras.Hydra.Hydra_Lemmas]
R2_iff [lemma, in hydras.Hydra.Hydra_Lemmas]
R2_intro_2 [constructor, in hydras.Hydra.Hydra_Definitions]
R2_intro [constructor, in hydras.Hydra.Hydra_Definitions]
R20 [lemma, in hydras.Epsilon0.Paths]
R21 [lemma, in hydras.Epsilon0.Paths]
R22 [lemma, in hydras.Epsilon0.Paths]
R23 [lemma, in hydras.Epsilon0.Paths]
R24 [lemma, in hydras.Epsilon0.Paths]
R25 [lemma, in hydras.Epsilon0.Paths]
R26 [lemma, in hydras.Epsilon0.Paths]
R27 [lemma, in hydras.Epsilon0.Paths]
R28 [lemma, in hydras.Epsilon0.Paths]
R29 [lemma, in hydras.Epsilon0.Paths]
R2:3 [binder, in additions.Wf_transparent]
r2:42 [binder, in hydras.Gamma0.Gamma0]
r2:50 [binder, in hydras.Gamma0.Gamma0]
r2:58 [binder, in hydras.Gamma0.Gamma0]
r2:66 [binder, in hydras.Gamma0.Gamma0]
R3 [lemma, in hydras.solutions_exercises.is_F_monotonous]
R3 [lemma, in hydras.MoreAck.Ack]
R3 [lemma, in hydras.solutions_exercises.schutte_cnf_counter_example]
R3 [lemma, in hydras.Hydra.Battle_length]
R3 [lemma, in hydras.solutions_exercises.F_3]
R3 [lemma, in hydras.Epsilon0.Hprime]
R3 [lemma, in hydras.Schutte.Ordering_Functions]
R3 [lemma, in hydras.Gamma0.Gamma0]
R3' [lemma, in hydras.solutions_exercises.F_3]
R30 [lemma, in hydras.Epsilon0.Paths]
R31 [lemma, in hydras.Epsilon0.Paths]
R31_0 [lemma, in hydras.Epsilon0.Paths]
R4 [lemma, in hydras.solutions_exercises.is_F_monotonous]
R4 [lemma, in hydras.Hydra.Battle_length]
R4 [lemma, in hydras.solutions_exercises.F_3]
R4 [lemma, in hydras.Epsilon0.Hprime]
R4 [lemma, in hydras.Schutte.Ordering_Functions]
R4 [lemma, in hydras.Gamma0.Gamma0]
R4_3_4 [lemma, in hydras.Epsilon0.Paths]
R4_3_3 [lemma, in hydras.Epsilon0.Paths]
R4_3_2 [lemma, in hydras.Epsilon0.Paths]
R4_3_1 [lemma, in hydras.Epsilon0.Paths]
R4' [lemma, in hydras.Schutte.Ordering_Functions]
R4'' [lemma, in hydras.Schutte.Ordering_Functions]
R42 [lemma, in hydras.Schutte.Ordering_Functions]
R5 [lemma, in hydras.Epsilon0.F_omega]
R5 [lemma, in hydras.MoreAck.Ack]
R5 [lemma, in hydras.Hydra.Battle_length]
R5 [lemma, in hydras.solutions_exercises.F_3]
R5 [lemma, in hydras.Epsilon0.Hprime]
R5 [lemma, in hydras.Schutte.Ordering_Functions]
R5 [lemma, in hydras.Gamma0.Gamma0]
R6 [lemma, in hydras.solutions_exercises.is_F_monotonous]
R6 [lemma, in hydras.Hydra.Battle_length]
R6 [lemma, in hydras.Schutte.Ordering_Functions]
R7 [lemma, in hydras.Schutte.Ordering_Functions]
R:1 [binder, in hydras.rpo.dickson]
r:10 [binder, in hydras.Ackermann.PA]
R:10 [binder, in hydras.Schutte.PartialFun]
R:10 [binder, in hydras.rpo.dickson]
r:11 [binder, in additions.Strategies]
R:11 [binder, in hydras.Prelude.DecPreOrder]
R:11 [binder, in hydras.rpo.closure]
R:110 [binder, in hydras.Prelude.MoreLists]
r:114 [binder, in hydras.Ackermann.codeSubFormula]
R:121 [binder, in hydras.Prelude.MoreLists]
R:128 [binder, in hydras.Prelude.MoreLists]
R:130 [binder, in hydras.Ackermann.primRec]
r:131 [binder, in hydras.Ackermann.folProp]
R:133 [binder, in hydras.Prelude.MoreLists]
r:137 [binder, in hydras.Gamma0.T2]
R:138 [binder, in hydras.Prelude.MoreLists]
r:14 [binder, in hydras.Ackermann.model]
r:14 [binder, in hydras.Ackermann.checkPrf]
R:14 [binder, in hydras.Prelude.STDPP_compat]
r:14 [binder, in Goedel.codeSysPrf]
R:143 [binder, in hydras.Prelude.MoreLists]
r:148 [binder, in hydras.Ackermann.folProp]
r:15 [binder, in hydras.Ackermann.fol]
R:16 [binder, in hydras.Schutte.PartialFun]
R:16 [binder, in hydras.rpo.closure]
R:16 [binder, in hydras.Ackermann.Languages]
R:166 [binder, in hydras.Prelude.MoreLists]
r:17 [binder, in hydras.Ackermann.checkPrf]
r:17 [binder, in Goedel.codeSysPrf]
R:17 [binder, in hydras.rpo.dickson]
r:177 [binder, in hydras.Ackermann.folProp]
r:182 [binder, in hydras.Ackermann.wellFormed]
R:184 [binder, in additions.Addition_Chains]
r:185 [binder, in hydras.Ackermann.wellFormed]
R:19 [binder, in hydras.rpo.closure]
r:193 [binder, in hydras.Ackermann.folProp]
R:2 [binder, in hydras.Prelude.DecPreOrder]
R:2 [binder, in hydras.Prelude.STDPP_compat]
R:2 [binder, in hydras.rpo.closure]
R:20 [binder, in hydras.Ackermann.extEqualNat]
R:20 [binder, in hydras.Ackermann.Languages]
R:20 [binder, in hydras.solutions_exercises.T1_ltNotWf]
r:204 [binder, in hydras.Ackermann.fol]
r:209 [binder, in hydras.Ackermann.folProp]
R:21 [binder, in hydras.rpo.dickson]
R:21 [binder, in hydras.rpo.closure]
R:22 [binder, in hydras.Ackermann.extEqualNat]
R:22 [binder, in hydras.Ackermann.checkPrf]
r:22 [binder, in hydras.Ackermann.Languages]
r:225 [binder, in hydras.Ackermann.folProp]
r:227 [binder, in hydras.Ackermann.fol]
r:23 [binder, in hydras.Ackermann.Languages]
r:245 [binder, in hydras.Ackermann.fol]
R:25 [binder, in hydras.rpo.dickson]
r:25 [binder, in hydras.Ackermann.Languages]
r:256 [binder, in hydras.Ackermann.folProp]
r:27 [binder, in additions.Fib2]
r:272 [binder, in hydras.Ackermann.folProp]
r:278 [binder, in hydras.Ackermann.fol]
r:284 [binder, in hydras.Ackermann.subAll]
r:289 [binder, in hydras.Ackermann.subAll]
R:29 [binder, in hydras.rpo.dickson]
r:292 [binder, in additions.Euclidean_Chains]
r:295 [binder, in hydras.Ackermann.fol]
r:297 [binder, in additions.Euclidean_Chains]
R:3 [binder, in hydras.Prelude.Restriction]
r:3 [binder, in gaia_hydras.onType]
R:3 [binder, in hydras.Schutte.Countable]
r:305 [binder, in hydras.Ackermann.folProp]
r:31 [binder, in hydras.Prelude.More_Arith]
r:31 [binder, in hydras.Ackermann.model]
R:31 [binder, in hydras.Prelude.DecPreOrder]
r:319 [binder, in hydras.Ackermann.subAll]
r:321 [binder, in hydras.Ackermann.subAll]
r:321 [binder, in hydras.Ackermann.folProp]
r:328 [binder, in hydras.Ackermann.fol]
r:33 [binder, in hydras.Schutte.GRelations]
R:33 [binder, in hydras.rpo.dickson]
r:337 [binder, in hydras.Ackermann.folProp]
r:34 [binder, in hydras.Schutte.GRelations]
r:341 [binder, in hydras.Ackermann.fol]
r:35 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
r:353 [binder, in hydras.Ackermann.folProp]
r:362 [binder, in additions.Euclidean_Chains]
r:368 [binder, in additions.Euclidean_Chains]
r:369 [binder, in hydras.Ackermann.folProp]
r:37 [binder, in hydras.Prelude.More_Arith]
r:37 [binder, in hydras.Ackermann.model]
R:37 [binder, in hydras.rpo.dickson]
r:374 [binder, in additions.Euclidean_Chains]
r:374 [binder, in hydras.Ackermann.fol]
r:38 [binder, in hydras.Ackermann.model]
r:38 [binder, in hydras.OrdinalNotations.ON_Omega_plus_omega]
R:38 [binder, in hydras.rpo.dickson]
r:381 [binder, in additions.Euclidean_Chains]
r:385 [binder, in hydras.Ackermann.folProp]
r:385 [binder, in hydras.Ackermann.fol]
r:388 [binder, in additions.Euclidean_Chains]
r:39 [binder, in hydras.Prelude.Restriction]
r:394 [binder, in additions.Euclidean_Chains]
R:4 [binder, in hydras.Schutte.Countable]
r:401 [binder, in additions.Euclidean_Chains]
R:402 [binder, in hydras.Epsilon0.T1]
R:41 [binder, in hydras.rpo.dickson]
r:418 [binder, in hydras.Ackermann.fol]
R:42 [binder, in hydras.Ackermann.folProof]
R:42 [binder, in hydras.rpo.dickson]
r:438 [binder, in hydras.Ackermann.fol]
r:45 [binder, in additions.More_on_positive]
R:48 [binder, in hydras.rpo.dickson]
r:49 [binder, in additions.More_on_positive]
R:5 [binder, in hydras.Schutte.Countable]
R:51 [binder, in hydras.Ackermann.Languages]
R:52 [binder, in hydras.Ackermann.Languages]
r:54 [binder, in hydras.Ackermann.Languages]
R:54 [binder, in hydras.Ackermann.expressible]
R:546 [binder, in hydras.Ackermann.primRec]
R:549 [binder, in hydras.Ackermann.primRec]
R:55 [binder, in hydras.rpo.dickson]
r:55 [binder, in hydras.Ackermann.Languages]
r:56 [binder, in additions.More_on_positive]
r:56 [binder, in hydras.Ackermann.Languages]
R:560 [binder, in hydras.Ackermann.primRec]
R:563 [binder, in hydras.Ackermann.primRec]
R:566 [binder, in hydras.Ackermann.primRec]
R:568 [binder, in hydras.Ackermann.primRec]
r:57 [binder, in hydras.Ackermann.Languages]
R:57 [binder, in hydras.Ackermann.expressible]
r:58 [binder, in hydras.Ackermann.Languages]
r:59 [binder, in additions.More_on_positive]
r:59 [binder, in hydras.Ackermann.Languages]
r:6 [binder, in hydras.solutions_exercises.isqrt]
r:60 [binder, in hydras.Prelude.More_Arith]
r:60 [binder, in hydras.Ackermann.Languages]
r:61 [binder, in hydras.Ackermann.Languages]
R:61 [binder, in hydras.Ackermann.expressible]
R:62 [binder, in hydras.rpo.dickson]
R:63 [binder, in hydras.rpo.dickson]
r:63 [binder, in hydras.Ackermann.Languages]
r:64 [binder, in hydras.Ackermann.model]
R:65 [binder, in hydras.Ackermann.expressible]
r:652 [binder, in hydras.Ackermann.checkPrf]
r:66 [binder, in hydras.Ackermann.folLogic3]
r:67 [binder, in additions.fib]
r:68 [binder, in additions.fib]
R:7 [binder, in hydras.Ackermann.folProof]
r:7 [binder, in hydras.Ackermann.PAconsistent]
R:7 [binder, in hydras.Schutte.PartialFun]
R:70 [binder, in hydras.Ackermann.expressible]
R:8 [binder, in hydras.Prelude.DecPreOrder]
R:8 [binder, in hydras.Ackermann.code]
r:8 [binder, in hydras.solutions_exercises.isqrt]
r:85 [binder, in hydras.Ackermann.model]
r:88 [binder, in hydras.Ackermann.codeSubFormula]
r:89 [binder, in hydras.Hydra.Hydra_Definitions]

S

s [definition, in hydras.solutions_exercises.Limit_Infinity]
S [module, in hydras.rpo.decidable_set]
S [module, in hydras.rpo.list_set]
s [definition, in hydras.solutions_exercises.T1_ltNotWf]
SA1 [lemma, in hydras.Schutte.Ordering_Functions]
SA2 [lemma, in hydras.Schutte.Ordering_Functions]
SA:17 [binder, in hydras.Prelude.Simple_LexProd]
SA:19 [binder, in hydras.Prelude.Simple_LexProd]
SB:18 [binder, in hydras.Prelude.Simple_LexProd]
SB:20 [binder, in hydras.Prelude.Simple_LexProd]
Schutte [library]
Schutte_basics [library]
schutte_cnf_counter_example [library]
searchProof [lemma, in Goedel.rosserPA]
searchProof [lemma, in Goedel.rosser]
searchXYIsPR [instance, in hydras.Ackermann.cPair]
SecondIncompletness [lemma, in Goedel.goedel2]
segment [definition, in hydras.Schutte.Ordering_Functions]
segment_lt_closed [lemma, in hydras.Schutte.Ordering_Functions]
segment_the_ordering_segment [lemma, in hydras.Schutte.Ordering_Functions]
segment_unbounded [lemma, in hydras.Schutte.Ordering_Functions]
segment_lt [lemma, in hydras.Schutte.Ordering_Functions]
self_lt_free [lemma, in hydras.Hydra.Epsilon0_Needed_Free]
self_lt_standard [lemma, in hydras.Hydra.Epsilon0_Needed_Std]
Semantics [section, in additions.AM]
Semantics.A [variable, in additions.AM]
Semantics.mul [variable, in additions.AM]
Semantics.one [variable, in additions.AM]
Semibundled [module, in hydras.Prelude.DecPreOrder]
Semibundled.dec_dec [projection, in hydras.Prelude.DecPreOrder]
Semibundled.TotalDec [record, in hydras.Prelude.DecPreOrder]
Semibundled.TotalDecPreOrder [record, in hydras.Prelude.DecPreOrder]
Semibundled.total_dec_total [projection, in hydras.Prelude.DecPreOrder]
Semibundled.total_dec_pre_order [projection, in hydras.Prelude.DecPreOrder]
Semibundled.total_dec [projection, in hydras.Prelude.DecPreOrder]
Sentence [definition, in hydras.Ackermann.LNN]
Sentence [definition, in hydras.Ackermann.LNT]
Sentence [definition, in hydras.Ackermann.folProp]
seq [definition, in hydras.solutions_exercises.MultisetWf]
Sequences [section, in gaia_hydras.nfwfgaia]
Sequences.A [variable, in gaia_hydras.nfwfgaia]
Sequences.R [variable, in gaia_hydras.nfwfgaia]
Sequences.W [variable, in gaia_hydras.nfwfgaia]
seq_mono_inj [lemma, in hydras.Schutte.Schutte_basics]
seq_mono_intro [lemma, in hydras.Schutte.Schutte_basics]
seq_mono [definition, in hydras.Schutte.Schutte_basics]
seq_range_countable [lemma, in hydras.Schutte.Countable]
seq_range [definition, in hydras.Schutte.Countable]
seq:22 [binder, in hydras.solutions_exercises.T1_ltNotWf]
set_eq [definition, in hydras.Schutte.Schutte_basics]
shift [definition, in hydras.Prelude.MoreLists]
shift_unshift [lemma, in hydras.Prelude.MoreLists]
shift_no_zero [lemma, in hydras.Prelude.MoreLists]
shift_interval [lemma, in hydras.Prelude.MoreLists]
shift_iota_from [lemma, in hydras.Prelude.MoreLists]
SigA:279 [binder, in Goedel.PRrepresentable]
SigA:282 [binder, in Goedel.PRrepresentable]
SigA:297 [binder, in Goedel.PRrepresentable]
SigB:280 [binder, in Goedel.PRrepresentable]
SigB:283 [binder, in Goedel.PRrepresentable]
SigB:298 [binder, in Goedel.PRrepresentable]
sigma1:113 [binder, in hydras.rpo.term]
sigma1:122 [binder, in hydras.rpo.term]
sigma1:291 [binder, in hydras.rpo.term]
sigma1:300 [binder, in hydras.rpo.term]
sigma1:302 [binder, in hydras.rpo.term]
sigma2:114 [binder, in hydras.rpo.term]
sigma2:123 [binder, in hydras.rpo.term]
sigma2:292 [binder, in hydras.rpo.term]
sigma2:301 [binder, in hydras.rpo.term]
sigma2:303 [binder, in hydras.rpo.term]
sigma:102 [binder, in hydras.rpo.term]
sigma:111 [binder, in hydras.rpo.term]
sigma:119 [binder, in hydras.rpo.term]
sigma:126 [binder, in hydras.rpo.term]
sigma:128 [binder, in hydras.rpo.term]
sigma:184 [binder, in hydras.rpo.term]
sigma:280 [binder, in hydras.rpo.term]
sigma:289 [binder, in hydras.rpo.term]
sigma:297 [binder, in hydras.rpo.term]
sigma:307 [binder, in hydras.rpo.term]
sigma:309 [binder, in hydras.rpo.term]
sigma:315 [binder, in hydras.rpo.rpo]
sigma:363 [binder, in hydras.rpo.term]
sigma:86 [binder, in hydras.rpo.rpo]
Signature [module, in hydras.rpo.term]
signature [inductive, in additions.Euclidean_Chains]
signature_measure [definition, in additions.Euclidean_Chains]
signature_exponent [definition, in additions.Euclidean_Chains]
Signature.AC [constructor, in hydras.rpo.term]
Signature.arity [axiom, in hydras.rpo.term]
Signature.arity_type [inductive, in hydras.rpo.term]
Signature.C [constructor, in hydras.rpo.term]
Signature.eq_symbol_dec [axiom, in hydras.rpo.term]
Signature.Free [constructor, in hydras.rpo.term]
Signature.symb [axiom, in hydras.rpo.term]
sig_eq_intro [lemma, in hydras.OrdinalNotations.ON_Finite]
simple_last_app1 [lemma, in hydras.Prelude.MoreLists]
simple_last_app [lemma, in hydras.Prelude.MoreLists]
simple_last_correct [lemma, in hydras.Prelude.MoreLists]
simple_last [definition, in hydras.Prelude.MoreLists]
Simple_LexProd [library]
single_nf [lemma, in hydras.Epsilon0.T1]
single_nf [constructor, in hydras.Gamma0.T2]
size_acc:203 [binder, in hydras.rpo.term]
size_acc:20 [binder, in hydras.rpo.term]
size_acc:54 [binder, in hydras.rpo.more_list]
size1:57 [binder, in hydras.rpo.more_list]
size2:58 [binder, in hydras.rpo.more_list]
size:37 [binder, in hydras.rpo.more_list]
size:42 [binder, in hydras.rpo.more_list]
size:47 [binder, in hydras.rpo.more_list]
size:51 [binder, in hydras.rpo.more_list]
size:69 [binder, in hydras.rpo.list_permut]
size:73 [binder, in hydras.rpo.more_list]
size:74 [binder, in hydras.rpo.list_permut]
slowexp [definition, in additions.fib]
smallestExists [lemma, in hydras.Prelude.MoreDecidable]
small_h [definition, in hydras.Hydra.Epsilon0_Needed_Generic]
small_lemma [lemma, in hydras.Epsilon0.Paths]
SmNotPR [lemma, in hydras.Hydra.Hydra_Theorems]
smono_Sle [lemma, in hydras.Prelude.Iterates]
sn_tt:288 [binder, in hydras.rpo.rpo]
sn_tt:285 [binder, in hydras.rpo.rpo]
sn_tt:282 [binder, in hydras.rpo.rpo]
some [definition, in hydras.Schutte.MoreEpsilonIota]
some_pos' [definition, in gaia_hydras.T1Choice]
some_pos [definition, in gaia_hydras.T1Choice]
some_nb_occ_Sn [lemma, in hydras.rpo.more_list]
some_pos [definition, in hydras.Schutte.MoreEpsilonIota]
sort [definition, in hydras.Prelude.Sort_spec]
sorted [definition, in hydras.Schutte.CNF]
sorted_ge_suffix [lemma, in hydras.Prelude.MoreLists]
sorted_max_2 [lemma, in hydras.Prelude.MoreLists]
sorted_cut [lemma, in hydras.Prelude.MoreLists]
sorted_max_1 [lemma, in hydras.Prelude.MoreLists]
sorted_not_in_tail [lemma, in hydras.Prelude.MoreLists]
sorted_In [lemma, in hydras.Prelude.MoreLists]
sorted_ge_prefix [lemma, in hydras.Prelude.MoreLists]
sorted_ge_iff [lemma, in hydras.Prelude.MoreLists]
sorted_ge_iff0 [lemma, in hydras.Prelude.MoreLists]
Sorted_mono [lemma, in hydras.Prelude.MoreLists]
sorted_head [lemma, in hydras.Prelude.MoreLists]
sorted_tail' [lemma, in hydras.Prelude.MoreLists]
sorted_tail [lemma, in hydras.Prelude.MoreLists]
sorted_le [lemma, in hydras.Prelude.MoreLists]
sorted_inv_gt [lemma, in hydras.Prelude.MoreLists]
sorted_ge_not_In [lemma, in hydras.Prelude.MoreLists]
sorted_ge_trans [lemma, in hydras.Prelude.MoreLists]
sorted_ge_Forall [lemma, in hydras.Prelude.MoreLists]
sorted_ge_cons [constructor, in hydras.Prelude.MoreLists]
sorted_ge_one [constructor, in hydras.Prelude.MoreLists]
sorted_ge_nil [constructor, in hydras.Prelude.MoreLists]
sorted_ge [inductive, in hydras.Prelude.MoreLists]
sorted_lt [lemma, in hydras.Schutte.CNF]
sorted_lt_lt_2 [lemma, in hydras.Schutte.CNF]
sorted_lt_lt [lemma, in hydras.Schutte.CNF]
sorted_tail [lemma, in hydras.Schutte.CNF]
sort_spec [definition, in hydras.Prelude.Sort_spec]
sort_correct [definition, in hydras.Prelude.Sort_spec]
sort_rel [definition, in hydras.Prelude.Sort_spec]
sort_fun_t [definition, in hydras.Prelude.Sort_spec]
Sort_spec [library]
split_list_app_cons [lemma, in hydras.rpo.more_list]
split_list [definition, in hydras.rpo.more_list]
split_permutation [lemma, in hydras.Prelude.Merge_Sort]
split_decr [lemma, in hydras.Prelude.Merge_Sort]
split'_permutation [lemma, in hydras.Prelude.Merge_Sort]
split'_aux_eq [lemma, in hydras.Prelude.Merge_Sort]
split'_decr [lemma, in hydras.Prelude.Merge_Sort]
split'_aux_length_fst [lemma, in hydras.Prelude.Merge_Sort]
split'_aux_length_preserve [lemma, in hydras.Prelude.Merge_Sort]
sp_mergesort_OK [lemma, in hydras.Prelude.Merge_Sort]
sp_merge_sort [definition, in hydras.Prelude.Merge_Sort]
SQR [constructor, in additions.AM]
sqrtIsPR [section, in hydras.solutions_exercises.isqrt]
sqrtIsPR.P [variable, in hydras.solutions_exercises.isqrt]
sqrtIsPR.Proof_isqrt.n [variable, in hydras.solutions_exercises.isqrt]
sqrtIsPR.Proof_isqrt [section, in hydras.solutions_exercises.isqrt]
sqrt_correct [lemma, in hydras.solutions_exercises.isqrt]
sqr_eqn [lemma, in additions.Pow_variant]
sqr_eqn [lemma, in additions.Pow]
squares:6 [binder, in additions.AM]
ssrnat_extracts [library]
ss:113 [binder, in hydras.Ackermann.fol]
ss:120 [binder, in hydras.Ackermann.fol]
ss:125 [binder, in hydras.Ackermann.fol]
ss:130 [binder, in hydras.Ackermann.fol]
ss:28 [binder, in hydras.Ackermann.folLogic3]
ss:30 [binder, in hydras.Ackermann.folLogic3]
ss:31 [binder, in hydras.Ackermann.code]
ss:34 [binder, in hydras.Ackermann.code]
ss:37 [binder, in hydras.Ackermann.code]
ss:37 [binder, in hydras.Ackermann.folLogic3]
ss:4 [binder, in hydras.Ackermann.folProp]
ss:44 [binder, in hydras.Ackermann.folLogic3]
ss:51 [binder, in hydras.Ackermann.folProp]
ss:51 [binder, in hydras.Ackermann.folLogic3]
ss:59 [binder, in hydras.Ackermann.folLogic3]
ss:66 [binder, in hydras.Ackermann.fol]
ss:68 [binder, in hydras.Ackermann.folLogic3]
ss:73 [binder, in hydras.Ackermann.fol]
ss:78 [binder, in hydras.Ackermann.fol]
ss:78 [binder, in hydras.Ackermann.folLogic3]
ss:83 [binder, in hydras.Ackermann.fol]
ss:94 [binder, in hydras.Ackermann.fol]
ss:97 [binder, in hydras.Ackermann.fol]
stable [definition, in hydras.Prelude.Sort_spec]
stable_test [definition, in hydras.Prelude.Sort_spec]
stable_mergesort_OK [lemma, in hydras.Prelude.Merge_Sort]
stable_merge_sort [definition, in hydras.Prelude.Merge_Sort]
stack [definition, in additions.AM]
Stack_equiv_equiv [instance, in additions.AM]
Stack_equiv_refl [instance, in additions.AM]
stack_equivn [constructor, in additions.AM]
stack_equiv0 [constructor, in additions.AM]
stack_equiv [inductive, in additions.AM]
standard [instance, in hydras.Hydra.Hydra_Definitions]
standard_gnaw_iota_from [lemma, in gaia_hydras.GPaths]
standard_gnaw [definition, in gaia_hydras.GPaths]
standard_path [definition, in gaia_hydras.GPaths]
standard_battle_head [lemma, in hydras.Hydra.Hydra_Lemmas]
standard_incl_free [lemma, in hydras.Hydra.Hydra_Lemmas]
standard_gnaw_2_zero [lemma, in hydras.Epsilon0.Paths]
standard_path_to_zero [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_to_zero [lemma, in hydras.Epsilon0.Paths]
standard_pathS_app [lemma, in hydras.Epsilon0.Paths]
standard_path_equiv_2 [lemma, in hydras.Epsilon0.Paths]
standard_path_equiv_1 [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_nf [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_to_path [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_S_zero [lemma, in hydras.Epsilon0.Paths]
standard_path_compose [lemma, in hydras.Epsilon0.Paths]
standard_path_lt2 [lemma, in hydras.Epsilon0.Paths]
standard_path_zero [lemma, in hydras.Epsilon0.Paths]
standard_path_to_nf [lemma, in hydras.Epsilon0.Paths]
standard_path_LE [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_plus [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_iota_from [lemma, in hydras.Epsilon0.Paths]
standard_gnaw_zero [lemma, in hydras.Epsilon0.Paths]
standard_path_path_to [lemma, in hydras.Epsilon0.Paths]
standard_pathS_path_toS [lemma, in hydras.Epsilon0.Paths]
standard_path_origin [lemma, in hydras.Epsilon0.Paths]
standard_path_toS_zero [lemma, in hydras.Epsilon0.Paths]
standard_path_to_le_inv [lemma, in hydras.Epsilon0.Paths]
standard_path_toS_le_inv [lemma, in hydras.Epsilon0.Paths]
standard_path_unshift [lemma, in hydras.Epsilon0.Paths]
standard_path_unshift_0 [lemma, in hydras.Epsilon0.Paths]
standard_path_shift [lemma, in hydras.Epsilon0.Paths]
standard_path [definition, in hydras.Epsilon0.Paths]
standard_path_to [inductive, in hydras.Epsilon0.Paths]
standard_pathS [definition, in hydras.Epsilon0.Paths]
standard_path_toS [inductive, in hydras.Epsilon0.Paths]
standard_gnaw [definition, in hydras.Epsilon0.Paths]
state [record, in hydras.Hydra.BigBattle]
STDPP_compat [library]
stdS_S [constructor, in hydras.Epsilon0.Paths]
stdS_1 [constructor, in hydras.Epsilon0.Paths]
std_S [constructor, in hydras.Epsilon0.Paths]
std_1 [constructor, in hydras.Epsilon0.Paths]
step [section, in hydras.Epsilon0.F_omega]
step [inductive, in hydras.Hydra.Omega2_Small]
steps [inductive, in hydras.Hydra.BigBattle]
steps_rounds [lemma, in hydras.Hydra.BigBattle]
steps_S [constructor, in hydras.Hydra.BigBattle]
steps1 [constructor, in hydras.Hydra.BigBattle]
step_rounds [lemma, in hydras.Hydra.BigBattle]
step_to_battle [lemma, in hydras.Hydra.Omega2_Small]
step.F [variable, in hydras.Epsilon0.F_omega]
step.Hn [variable, in hydras.Epsilon0.F_omega]
step.n [variable, in hydras.Epsilon0.F_omega]
step1 [constructor, in hydras.Hydra.BigBattle]
step2 [constructor, in hydras.Hydra.BigBattle]
step3 [constructor, in hydras.Hydra.BigBattle]
sto [instance, in hydras.OrdinalNotations.ON_O]
sto [instance, in hydras.OrdinalNotations.ON_Finite]
sto:12 [binder, in hydras.Prelude.MoreOrders]
sto:17 [binder, in hydras.Prelude.MoreOrders]
sto:24 [binder, in hydras.Prelude.MoreOrders]
sto:30 [binder, in hydras.Prelude.MoreOrders]
sto:34 [binder, in hydras.Prelude.MoreOrders]
sto:37 [binder, in hydras.Prelude.MoreOrders]
sto:40 [binder, in hydras.Prelude.MoreOrders]
sto:48 [binder, in hydras.Prelude.MoreOrders]
sto:5 [binder, in hydras.Prelude.MoreOrders]
sto:8 [binder, in hydras.Prelude.MoreOrders]
Strategies [library]
Strategy [record, in additions.Strategies]
strict_lub_T1limit [lemma, in hydras.Epsilon0.T1]
strict_lub_unique [lemma, in hydras.Epsilon0.T1]
strict_lub_maj [definition, in hydras.Epsilon0.T1]
strict_lub_lub [definition, in hydras.Epsilon0.T1]
strict_lub [definition, in hydras.Epsilon0.T1]
strict_mono_iterate_S [lemma, in hydras.Prelude.Iterates]
strict_mono [definition, in hydras.Prelude.Iterates]
strict_mono [definition, in gaia_hydras.T1Bridge]
strict_lub_ref [lemma, in gaia_hydras.T1Bridge]
Strict_lex [instance, in hydras.Prelude.Simple_LexProd]
string_op [instance, in additions.Monoid_def]
strongly_critical [definition, in hydras.Schutte.Critical]
Strong_Recursion [section, in hydras.Ackermann.cPair]
St:110 [binder, in hydras.Hydra.Hydra_Lemmas]
subAddExistsNice [lemma, in Goedel.PRrepresentable]
subAddForallsNice [lemma, in Goedel.PRrepresentable]
subAll [library]
subAllCloseFrom [lemma, in hydras.Ackermann.subAll]
subAllCloseFrom1 [lemma, in hydras.Ackermann.subAll]
subAllFormula [definition, in hydras.Ackermann.subAll]
subAllFormulaId [lemma, in hydras.Ackermann.subAll]
subAllFormula_ext [lemma, in hydras.Ackermann.subAll]
subAllnVars1 [lemma, in hydras.Ackermann.folLogic3]
subAllnVars2 [lemma, in hydras.Ackermann.folLogic3]
subAllSubAllFormula [lemma, in hydras.Ackermann.subAll]
subAllSubAllTerm [lemma, in hydras.Ackermann.subAll]
subAllSubAllTerms [lemma, in hydras.Ackermann.subAll]
subAllSubFormula [lemma, in hydras.Ackermann.subAll]
subAllTerm [definition, in hydras.Ackermann.subAll]
subAllTermId [lemma, in hydras.Ackermann.subAll]
subAllTerms [definition, in hydras.Ackermann.subAll]
subAllTermsId [lemma, in hydras.Ackermann.subAll]
subAllTerms_ext [lemma, in hydras.Ackermann.subAll]
subAllTerm_ext [lemma, in hydras.Ackermann.subAll]
SubAllVars [section, in hydras.Ackermann.subAll]
SubAllVars.L [variable, in hydras.Ackermann.subAll]
SubAllVars.subAllCloseFrom [section, in hydras.Ackermann.subAll]
subFormulaAnd [lemma, in hydras.Ackermann.folProp]
subFormulaDepth [lemma, in hydras.Ackermann.folProp]
subFormulaEqual [lemma, in hydras.Ackermann.folProp]
subFormulaExch [lemma, in hydras.Ackermann.subProp]
subFormulaExist [lemma, in hydras.Ackermann.folProp]
subFormulaExist2 [lemma, in hydras.Ackermann.folProp]
subFormulaForall [lemma, in hydras.Ackermann.folProp]
subFormulaForall2 [lemma, in hydras.Ackermann.folProp]
subFormulaId [lemma, in hydras.Ackermann.folProp]
subFormulaIff [lemma, in hydras.Ackermann.folProp]
subFormulaIfThenElse [lemma, in hydras.Ackermann.folProp]
subFormulaImp [lemma, in hydras.Ackermann.folProp]
subFormulaMinimize [lemma, in Goedel.PRrepresentable]
subFormulaNil [lemma, in hydras.Ackermann.subProp]
subFormulaNot [lemma, in hydras.Ackermann.folProp]
subFormulaNTE [lemma, in hydras.Ackermann.subProp]
subFormulaNTEHelp [lemma, in hydras.Ackermann.subProp]
subFormulaOr [lemma, in hydras.Ackermann.folProp]
subFormulaRelation [lemma, in hydras.Ackermann.folProp]
subFormulaTrans [lemma, in hydras.Ackermann.subProp]
subInterpFormula [lemma, in hydras.Ackermann.model]
subInterpFormula1 [lemma, in hydras.Ackermann.model]
subInterpFormula2 [lemma, in hydras.Ackermann.model]
subInterpRel [lemma, in hydras.Ackermann.model]
subInterpTerm [lemma, in hydras.Ackermann.model]
subNNHelp [lemma, in hydras.Ackermann.model]
SubON [record, in hydras.OrdinalNotations.ON_Generic]
SubON_least [lemma, in hydras.OrdinalNotations.ON_Generic]
SubON_limit [lemma, in hydras.OrdinalNotations.ON_Generic]
SubON_successor [lemma, in hydras.OrdinalNotations.ON_Generic]
SubON_inj [lemma, in hydras.OrdinalNotations.ON_Generic]
SubON_mono [lemma, in hydras.OrdinalNotations.ON_Generic]
SubON_properties [section, in hydras.OrdinalNotations.ON_Generic]
SubON_same_op [definition, in hydras.OrdinalNotations.ON_Generic]
SubON_same_fun [definition, in hydras.OrdinalNotations.ON_Generic]
SubON_same_cst [definition, in hydras.OrdinalNotations.ON_Generic]
SubON_onto [projection, in hydras.OrdinalNotations.ON_Generic]
SubON_incl [projection, in hydras.OrdinalNotations.ON_Generic]
SubON_compare [projection, in hydras.OrdinalNotations.ON_Generic]
subProp [library]
subStar [definition, in Goedel.fixPoint]
subStarIsPR [instance, in Goedel.fixPoint]
substExHC [lemma, in hydras.Ackermann.folProp]
substF [definition, in hydras.Ackermann.folProp]
substF2 [abbreviation, in hydras.Ackermann.folProp]
substF3 [abbreviation, in hydras.Ackermann.folProp]
substF4 [abbreviation, in hydras.Ackermann.folProp]
substF5 [abbreviation, in hydras.Ackermann.folProp]
substF6 [abbreviation, in hydras.Ackermann.folProp]
substF7 [abbreviation, in hydras.Ackermann.folProp]
substF8 [abbreviation, in hydras.Ackermann.folProp]
substF9 [abbreviation, in hydras.Ackermann.folProp]
substituteFormula [abbreviation, in hydras.Ackermann.folProp]
substituteFormulaForall [definition, in hydras.Ackermann.folProp]
substituteFormulaForallNice [lemma, in hydras.Ackermann.folProp]
substituteFormulaHelp [definition, in hydras.Ackermann.folProp]
substituteFormulaImp [definition, in hydras.Ackermann.folProp]
substituteFormulaImpNice [lemma, in hydras.Ackermann.folProp]
substituteFormulaNot [definition, in hydras.Ackermann.folProp]
substituteFormulaNotNice [lemma, in hydras.Ackermann.folProp]
substituteTerm [abbreviation, in hydras.Ackermann.folProp]
substituteTerms [abbreviation, in hydras.Ackermann.folProp]
Substitution_Properties.SysPrf [variable, in hydras.Ackermann.subProp]
Substitution_Properties.Terms [variable, in hydras.Ackermann.subProp]
Substitution_Properties.Term [variable, in hydras.Ackermann.subProp]
Substitution_Properties.System [variable, in hydras.Ackermann.subProp]
Substitution_Properties.Formulas [variable, in hydras.Ackermann.subProp]
Substitution_Properties.Formula [variable, in hydras.Ackermann.subProp]
Substitution_Properties.L [variable, in hydras.Ackermann.subProp]
Substitution_Properties [section, in hydras.Ackermann.subProp]
substT [definition, in hydras.Ackermann.folProp]
substTs [definition, in hydras.Ackermann.folProp]
subSubAllFormula [lemma, in hydras.Ackermann.subAll]
subSubAllTerm [lemma, in hydras.Ackermann.subAll]
subSubAllTerms [lemma, in hydras.Ackermann.subAll]
subSubFormula [lemma, in hydras.Ackermann.folLogic2]
subSubTerm [lemma, in hydras.Ackermann.folLogic2]
subSubTerms [lemma, in hydras.Ackermann.folLogic2]
subterm [inductive, in hydras.Gamma0.Gamma0]
subTermApply [lemma, in hydras.Ackermann.folProp]
subTermExch [lemma, in hydras.Ackermann.subProp]
subTermId [lemma, in hydras.Ackermann.folProp]
subTermNil [lemma, in hydras.Ackermann.subProp]
subTermsExch [lemma, in hydras.Ackermann.subProp]
subTermsId [lemma, in hydras.Ackermann.folProp]
subTermsNil [lemma, in hydras.Ackermann.subProp]
subTermsTrans [lemma, in hydras.Ackermann.subProp]
subTermTrans [lemma, in hydras.Ackermann.subProp]
subTermVar1 [lemma, in hydras.Ackermann.folProp]
subTermVar2 [lemma, in hydras.Ackermann.folProp]
subterm_lt [lemma, in hydras.Gamma0.Gamma0]
subterm_trans [constructor, in hydras.Gamma0.Gamma0]
subterm_c [constructor, in hydras.Gamma0.Gamma0]
subterm_b [constructor, in hydras.Gamma0.Gamma0]
subterm_a [constructor, in hydras.Gamma0.Gamma0]
subToSubAll [lemma, in hydras.Ackermann.subAll]
subWithEquals [lemma, in hydras.Ackermann.folLogic3]
subWithEqualsTerm [lemma, in hydras.Ackermann.folLogic3]
subWithEqualsTerms [lemma, in hydras.Ackermann.folLogic3]
succ [definition, in hydras.Epsilon0.T1]
succ [definition, in hydras.OrdinalNotations.ON_Omega2]
succ [definition, in hydras.Gamma0.T2]
succ [section, in hydras.Epsilon0.Large_Sets]
succ [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
succ [definition, in hydras.Schutte.Schutte_basics]
Succ [abbreviation, in hydras.Epsilon0.E0]
succb [abbreviation, in hydras.Epsilon0.T1]
succb [definition, in hydras.OrdinalNotations.ON_Omega2]
succb [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
succb_correct [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Succb_Succ [lemma, in hydras.Epsilon0.E0]
succb_not_lim [lemma, in hydras.Gamma0.Gamma0]
Successor [definition, in hydras.Prelude.MoreOrders]
Successor_succ [lemma, in hydras.OrdinalNotations.ON_Omega2]
Successor_not [lemma, in hydras.OrdinalNotations.ON_Omega2]
Successor_inv [lemma, in hydras.OrdinalNotations.ON_Omega2]
Successor_unicity [lemma, in hydras.solutions_exercises.predSuccUnicity]
Successor_succ [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv4 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv3 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv2 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv1 [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
succFormula [definition, in Goedel.PRrepresentable]
succFunc [constructor, in hydras.Ackermann.primRec]
succIsPR [instance, in hydras.Ackermann.primRec]
succRepresentable [lemma, in Goedel.PRrepresentable]
succ_rw1 [lemma, in hydras.Epsilon0.T1]
succ_cons' [lemma, in hydras.Epsilon0.T1]
succ_cons [lemma, in hydras.Epsilon0.T1]
succ_lt_limit [lemma, in hydras.Epsilon0.T1]
succ_not_limit [lemma, in hydras.Epsilon0.T1]
succ_compat [lemma, in hydras.Epsilon0.T1]
succ_compatS [lemma, in hydras.Epsilon0.T1]
succ_injective [lemma, in hydras.Epsilon0.T1]
succ_monomorphism [lemma, in hydras.Epsilon0.T1]
succ_strict_monoR [lemma, in hydras.Epsilon0.T1]
succ_mono [lemma, in hydras.Epsilon0.T1]
succ_strict_mono_LT [lemma, in hydras.Epsilon0.T1]
succ_strict_mono [lemma, in hydras.Epsilon0.T1]
succ_of_plus_finite [lemma, in hydras.Epsilon0.T1]
succ_is_plus_one [lemma, in hydras.Epsilon0.T1]
succ_nf [lemma, in hydras.Epsilon0.T1]
succ_lt_a_phi0_b [lemma, in hydras.Epsilon0.T1]
succ_is_succ [lemma, in hydras.Epsilon0.T1]
succ_not_zero [lemma, in hydras.Epsilon0.T1]
succ_is_plus_1 [lemma, in hydras.OrdinalNotations.ON_Omega2]
succ_ok [lemma, in hydras.OrdinalNotations.ON_Omega2]
succ_finite [constructor, in hydras.Gamma0.T2]
succ_correct [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
succ_ref [lemma, in gaia_hydras.T1Bridge]
succ_zero_diff [lemma, in hydras.Schutte.Schutte_basics]
succ_injection [lemma, in hydras.Schutte.Schutte_basics]
succ_monoR [lemma, in hydras.Schutte.Schutte_basics]
succ_mono [lemma, in hydras.Schutte.Schutte_basics]
succ_ok [lemma, in hydras.Schutte.Schutte_basics]
succ_spec [definition, in hydras.Schutte.Schutte_basics]
succ_correct [lemma, in hydras.Epsilon0.E0]
Succ_of_cons [lemma, in hydras.Epsilon0.E0]
Succ_rw [lemma, in hydras.Epsilon0.E0]
Succ_lt_T1limit [lemma, in hydras.Epsilon0.E0]
Succ_not_T1limit [lemma, in hydras.Epsilon0.E0]
Succ_not_Zero [lemma, in hydras.Epsilon0.E0]
Succ_Succb [lemma, in hydras.Epsilon0.E0]
Succ_inj [lemma, in hydras.Epsilon0.E0]
succ_rounds [lemma, in hydras.Hydra.Omega2_Small]
succ_step [constructor, in hydras.Hydra.Omega2_Small]
succ_limit_dec [lemma, in hydras.Gamma0.Gamma0]
succ_nf [lemma, in hydras.Gamma0.Gamma0]
succ_as_plus [lemma, in hydras.Gamma0.Gamma0]
succ_of_cons [lemma, in hydras.Gamma0.Gamma0]
succ_lt_le [lemma, in hydras.Gamma0.Gamma0]
Succ_ [constructor, in hydras.Ackermann.Languages]
succ_is_plus_1 [lemma, in hydras.Schutte.Addition]
succ.beta [variable, in hydras.Epsilon0.Large_Sets]
succ.f [variable, in hydras.Epsilon0.Large_Sets]
succ.f_ok [variable, in hydras.Epsilon0.Large_Sets]
succ.f_Sle [variable, in hydras.Epsilon0.Large_Sets]
succ.f_mono [variable, in hydras.Epsilon0.Large_Sets]
succ.Hbeta [variable, in hydras.Epsilon0.Large_Sets]
sumToN [definition, in hydras.Ackermann.cPair]
sumToNIsPR [instance, in hydras.Ackermann.cPair]
sumToN1 [lemma, in hydras.Ackermann.cPair]
sumToN2 [lemma, in hydras.Ackermann.cPair]
sup [definition, in hydras.Schutte.Schutte_basics]
SuperbigStep [lemma, in hydras.Hydra.BigBattle]
supM_gt0 [lemma, in hydras.Schutte.AP]
sup_members_disj [lemma, in hydras.Schutte.Schutte_basics]
sup_members_not_succ [lemma, in hydras.Schutte.Schutte_basics]
sup_members_succ [lemma, in hydras.Schutte.Schutte_basics]
sup_eq_intro [lemma, in hydras.Schutte.Schutte_basics]
sup_mono [lemma, in hydras.Schutte.Schutte_basics]
sup_of_leq [lemma, in hydras.Schutte.Schutte_basics]
sup_least_upper_bound [lemma, in hydras.Schutte.Schutte_basics]
sup_upper_bound [lemma, in hydras.Schutte.Schutte_basics]
sup_ok1 [lemma, in hydras.Schutte.Schutte_basics]
sup_spec_unicity [lemma, in hydras.Schutte.Schutte_basics]
sup_unicity [lemma, in hydras.Schutte.Schutte_basics]
sup_exists [lemma, in hydras.Schutte.Schutte_basics]
sup_spec [definition, in hydras.Schutte.Schutte_basics]
sup_M_in_B [lemma, in hydras.Schutte.Ordering_Functions]
Su:208 [binder, in hydras.OrdinalNotations.ON_Generic]
SWAP [constructor, in additions.AM]
swapIsPR [instance, in hydras.Ackermann.primRec]
switchIsPR [instance, in hydras.Ackermann.primRec]
switchPR [definition, in hydras.Ackermann.primRec]
switch5IsPR [lemma, in hydras.Ackermann.codeSubFormula]
sysExtend [lemma, in hydras.Ackermann.LNN]
sysExtend [lemma, in hydras.Ackermann.LNT]
sysExtend [lemma, in hydras.Ackermann.folLogic]
SysPrf [definition, in hydras.Ackermann.folProof]
SysPrf [abbreviation, in hydras.Ackermann.subAll]
SysPrf [definition, in hydras.Ackermann.LNN]
SysPrf [definition, in hydras.Ackermann.LNT]
SysPrf_rephrase [lemma, in hydras.Ackermann.Deduction]
System [abbreviation, in hydras.Ackermann.subAll]
System [definition, in hydras.Ackermann.LNN]
System [definition, in hydras.Ackermann.LNT]
System [abbreviation, in hydras.Ackermann.folProp]
System [abbreviation, in hydras.Ackermann.codeSubFormula]
System [definition, in hydras.Ackermann.fol]
System [abbreviation, in hydras.Ackermann.folLogic3]
sysWeaken [lemma, in hydras.Ackermann.LNN]
sysWeaken [lemma, in hydras.Ackermann.LNT]
sysWeaken [lemma, in hydras.Ackermann.folLogic]
S_pred_rw [lemma, in hydras.Prelude.Iterates]
S_ [abbreviation, in hydras.Ackermann.LNT]
s_decr [lemma, in hydras.solutions_exercises.T1_ltNotWf]
s':117 [binder, in additions.AM]
s':13 [binder, in hydras.Hydra.Hydra_Lemmas]
s':144 [binder, in hydras.rpo.rpo]
s':148 [binder, in hydras.rpo.rpo]
s':16 [binder, in hydras.Hydra.Hydra_Lemmas]
s':19 [binder, in hydras.Hydra.Hydra_Termination]
s':199 [binder, in hydras.Epsilon0.Paths]
s':202 [binder, in hydras.Epsilon0.Paths]
s':21 [binder, in hydras.Hydra.Hydra_Termination]
s':21 [binder, in hydras.Hydra.Hydra_Lemmas]
s':28 [binder, in hydras.Hydra.Hydra_Termination]
s':289 [binder, in hydras.rpo.rpo]
s':290 [binder, in hydras.rpo.rpo]
s':291 [binder, in hydras.rpo.rpo]
s':292 [binder, in hydras.rpo.rpo]
s':299 [binder, in hydras.rpo.rpo]
s':300 [binder, in hydras.rpo.rpo]
s':31 [binder, in hydras.Hydra.Hydra_Termination]
s':37 [binder, in hydras.Hydra.Hydra_Termination]
s':40 [binder, in hydras.Hydra.Hydra_Termination]
s':43 [binder, in hydras.Hydra.O2H]
s':49 [binder, in hydras.rpo.rpo]
s':51 [binder, in additions.AM]
s':53 [binder, in hydras.Hydra.Hydra_Lemmas]
s':53 [binder, in hydras.rpo.rpo]
s':58 [binder, in hydras.Hydra.Hydra_Lemmas]
s':62 [binder, in hydras.Hydra.Hydra_Definitions]
s':63 [binder, in hydras.Hydra.Hydra_Lemmas]
s':66 [binder, in hydras.Hydra.Hydra_Definitions]
s':69 [binder, in additions.AM]
s':75 [binder, in hydras.Hydra.Hydra_Definitions]
s':8 [binder, in hydras.Hydra.Hydra_Lemmas]
s':82 [binder, in hydras.Hydra.Hydra_Definitions]
s':84 [binder, in hydras.Hydra.Hydra_Definitions]
S.A [axiom, in hydras.rpo.decidable_set]
S.cardinal [definition, in hydras.rpo.list_set]
S.cardinal_subset [axiom, in hydras.rpo.list_set]
S.DS [module, in hydras.rpo.list_set]
S.elt [definition, in hydras.rpo.list_set]
S.eq_A_dec [axiom, in hydras.rpo.decidable_set]
S.eq_elt_dec [definition, in hydras.rpo.list_set]
S.is_a_set [projection, in hydras.rpo.list_set]
S.mk_set [constructor, in hydras.rpo.list_set]
S.subset [definition, in hydras.rpo.list_set]
S.support [projection, in hydras.rpo.list_set]
S.t [record, in hydras.rpo.list_set]
S.without_red [definition, in hydras.rpo.list_set]
S0 [inductive, in hydras.Hydra.Hydra_Definitions]
S0_mem_head [lemma, in hydras.Hydra.O2H]
S0_decr [lemma, in hydras.Hydra.Hydra_Termination]
S0_decr_0 [lemma, in hydras.Hydra.Hydra_Termination]
S0_remove_r_i [lemma, in hydras.Hydra.Hydra_Lemmas]
S0_remove_r [lemma, in hydras.Hydra.Hydra_Lemmas]
S0_app [lemma, in hydras.Hydra.Hydra_Lemmas]
S0_rest [constructor, in hydras.Hydra.Hydra_Definitions]
S0_first [constructor, in hydras.Hydra.Hydra_Definitions]
s0:1241 [binder, in hydras.Ackermann.codeSubFormula]
s0:1244 [binder, in hydras.Ackermann.codeSubFormula]
s0:1298 [binder, in hydras.Ackermann.codeSubFormula]
s0:1301 [binder, in hydras.Ackermann.codeSubFormula]
s0:1372 [binder, in hydras.Ackermann.codeSubFormula]
s0:1375 [binder, in hydras.Ackermann.codeSubFormula]
s0:21 [binder, in hydras.Ackermann.codeSubTerm]
s0:25 [binder, in hydras.Ackermann.codeSubTerm]
s0:43 [binder, in hydras.Ackermann.codeSubTerm]
s0:47 [binder, in hydras.Ackermann.codeSubTerm]
s0:863 [binder, in hydras.Ackermann.codeSubFormula]
s0:866 [binder, in hydras.Ackermann.codeSubFormula]
s0:887 [binder, in hydras.Ackermann.codeSubFormula]
s0:890 [binder, in hydras.Ackermann.codeSubFormula]
s0:903 [binder, in hydras.Ackermann.codeSubFormula]
s0:906 [binder, in hydras.Ackermann.codeSubFormula]
s0:930 [binder, in hydras.Ackermann.codeSubFormula]
s0:933 [binder, in hydras.Ackermann.codeSubFormula]
S1 [section, in hydras.solutions_exercises.is_F_monotonous]
S1 [section, in hydras.solutions_exercises.F_3]
S1 [section, in additions.Addition_Chains]
S1 [inductive, in hydras.Hydra.Hydra_Definitions]
S1_decr [lemma, in hydras.Hydra.Hydra_Termination]
S1_decr_0 [lemma, in hydras.Hydra.Hydra_Termination]
S1_app [lemma, in hydras.Hydra.Hydra_Lemmas]
S1_next [constructor, in hydras.Hydra.Hydra_Definitions]
S1_first [constructor, in hydras.Hydra.Hydra_Definitions]
s1':201 [binder, in hydras.rpo.list_set]
s1':207 [binder, in hydras.rpo.list_set]
s1':217 [binder, in hydras.rpo.list_set]
S1.H [variable, in hydras.solutions_exercises.is_F_monotonous]
S1.instance_H [variable, in hydras.solutions_exercises.is_F_monotonous]
S1.Limit [section, in hydras.solutions_exercises.F_3]
S1.Limit.Hlambda [variable, in hydras.solutions_exercises.F_3]
S1.Limit.IHlambda [variable, in hydras.solutions_exercises.F_3]
S1.Limit.lambda [variable, in hydras.solutions_exercises.F_3]
S1.Limit.S3 [section, in hydras.solutions_exercises.F_3]
S1.Limit.S3.Hn [variable, in hydras.solutions_exercises.F_3]
S1.Limit.S3.n [variable, in hydras.solutions_exercises.F_3]
S1.P [variable, in hydras.solutions_exercises.F_3]
S1.Successor [section, in hydras.solutions_exercises.F_3]
S1.Successor.alpha [variable, in hydras.solutions_exercises.F_3]
S1.Successor.H_alpha [variable, in hydras.solutions_exercises.F_3]
S1.Successor.S2 [section, in hydras.solutions_exercises.F_3]
S1.Successor.S2.Hn [variable, in hydras.solutions_exercises.F_3]
S1.Successor.S2.n [variable, in hydras.solutions_exercises.F_3]
s1:104 [binder, in hydras.rpo.list_set]
s1:11 [binder, in hydras.rpo.list_set]
s1:110 [binder, in hydras.rpo.list_set]
s1:112 [binder, in hydras.Ackermann.subProp]
s1:1210 [binder, in hydras.Ackermann.codeSubFormula]
s1:1213 [binder, in hydras.Ackermann.codeSubFormula]
s1:1217 [binder, in hydras.Ackermann.codeSubFormula]
s1:124 [binder, in hydras.rpo.list_set]
s1:13 [binder, in hydras.Ackermann.folLogic2]
s1:130 [binder, in hydras.rpo.list_set]
s1:131 [binder, in hydras.Ackermann.subProp]
s1:137 [binder, in hydras.rpo.list_set]
s1:146 [binder, in hydras.Ackermann.subProp]
s1:150 [binder, in hydras.Ackermann.subProp]
s1:152 [binder, in hydras.rpo.list_set]
s1:154 [binder, in hydras.Ackermann.subProp]
s1:155 [binder, in hydras.rpo.list_set]
s1:158 [binder, in hydras.rpo.list_set]
s1:160 [binder, in hydras.rpo.list_set]
s1:162 [binder, in hydras.rpo.list_set]
s1:164 [binder, in hydras.rpo.list_set]
s1:166 [binder, in hydras.rpo.list_set]
s1:168 [binder, in hydras.rpo.list_set]
s1:169 [binder, in hydras.Ackermann.subProp]
s1:171 [binder, in hydras.rpo.list_set]
s1:174 [binder, in hydras.rpo.list_set]
s1:176 [binder, in hydras.rpo.list_set]
s1:184 [binder, in hydras.rpo.list_set]
s1:186 [binder, in hydras.rpo.list_set]
s1:191 [binder, in hydras.rpo.list_set]
s1:197 [binder, in hydras.rpo.list_set]
s1:2 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:200 [binder, in hydras.rpo.list_set]
s1:203 [binder, in hydras.rpo.list_set]
s1:206 [binder, in hydras.rpo.list_set]
s1:210 [binder, in hydras.rpo.list_set]
s1:213 [binder, in hydras.rpo.list_set]
s1:216 [binder, in hydras.rpo.list_set]
s1:22 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:220 [binder, in hydras.rpo.list_set]
s1:224 [binder, in hydras.rpo.list_set]
s1:226 [binder, in hydras.rpo.list_set]
s1:228 [binder, in hydras.rpo.list_set]
s1:23 [binder, in hydras.Ackermann.folLogic2]
s1:230 [binder, in hydras.rpo.list_set]
s1:234 [binder, in hydras.Epsilon0.Paths]
s1:239 [binder, in hydras.Epsilon0.Paths]
s1:246 [binder, in hydras.rpo.list_set]
s1:248 [binder, in hydras.rpo.list_set]
s1:25 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:250 [binder, in hydras.rpo.list_set]
s1:255 [binder, in hydras.rpo.list_set]
s1:28 [binder, in hydras.Ackermann.folLogic2]
s1:29 [binder, in hydras.Hydra.O2H]
s1:29 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:33 [binder, in hydras.Hydra.O2H]
s1:33 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:43 [binder, in hydras.Hydra.Hydra_Definitions]
s1:47 [binder, in hydras.Hydra.Hydra_Lemmas]
s1:8 [binder, in hydras.rpo.list_set]
s1:820 [binder, in hydras.Ackermann.codeSubFormula]
s1:823 [binder, in hydras.Ackermann.codeSubFormula]
s1:827 [binder, in hydras.Ackermann.codeSubFormula]
s1:843 [binder, in hydras.Ackermann.codeSubFormula]
s1:846 [binder, in hydras.Ackermann.codeSubFormula]
s1:93 [binder, in hydras.rpo.list_set]
s1:98 [binder, in hydras.rpo.list_set]
S2 [section, in additions.Addition_Chains]
S2 [inductive, in hydras.Hydra.Hydra_Definitions]
S2_app [lemma, in hydras.Hydra.Hydra_Lemmas]
S2_ind2 [definition, in hydras.Hydra.Hydra_Lemmas]
S2_iff [lemma, in hydras.Hydra.Hydra_Lemmas]
S2_next [constructor, in hydras.Hydra.Hydra_Definitions]
S2_first [constructor, in hydras.Hydra.Hydra_Definitions]
s2':205 [binder, in hydras.rpo.list_set]
s2':209 [binder, in hydras.rpo.list_set]
s2':219 [binder, in hydras.rpo.list_set]
S2.a [variable, in additions.Addition_Chains]
S2.A [variable, in additions.Addition_Chains]
S2.b [variable, in additions.Addition_Chains]
S2.B [variable, in additions.Addition_Chains]
S2.R_true [variable, in additions.Addition_Chains]
S256 [section, in additions.Monoid_instances]
S256.mod256 [variable, in additions.Monoid_instances]
s2:105 [binder, in hydras.rpo.list_set]
s2:111 [binder, in hydras.rpo.list_set]
s2:113 [binder, in hydras.Ackermann.subProp]
s2:12 [binder, in hydras.rpo.list_set]
s2:1211 [binder, in hydras.Ackermann.codeSubFormula]
s2:1214 [binder, in hydras.Ackermann.codeSubFormula]
s2:1218 [binder, in hydras.Ackermann.codeSubFormula]
s2:1238 [binder, in hydras.Ackermann.codeSubFormula]
s2:125 [binder, in hydras.rpo.list_set]
s2:131 [binder, in hydras.rpo.list_set]
s2:132 [binder, in hydras.Ackermann.subProp]
s2:138 [binder, in hydras.rpo.list_set]
s2:14 [binder, in hydras.Ackermann.folLogic2]
s2:147 [binder, in hydras.Ackermann.subProp]
s2:151 [binder, in hydras.Ackermann.subProp]
s2:153 [binder, in hydras.rpo.list_set]
s2:155 [binder, in hydras.Ackermann.subProp]
s2:156 [binder, in hydras.rpo.list_set]
s2:159 [binder, in hydras.rpo.list_set]
s2:161 [binder, in hydras.rpo.list_set]
s2:163 [binder, in hydras.rpo.list_set]
s2:165 [binder, in hydras.rpo.list_set]
s2:167 [binder, in hydras.rpo.list_set]
s2:169 [binder, in hydras.rpo.list_set]
s2:170 [binder, in hydras.Ackermann.subProp]
s2:172 [binder, in hydras.rpo.list_set]
s2:175 [binder, in hydras.rpo.list_set]
s2:177 [binder, in hydras.rpo.list_set]
s2:185 [binder, in hydras.rpo.list_set]
s2:187 [binder, in hydras.rpo.list_set]
s2:192 [binder, in hydras.rpo.list_set]
s2:198 [binder, in hydras.rpo.list_set]
s2:202 [binder, in hydras.rpo.list_set]
s2:204 [binder, in hydras.rpo.list_set]
s2:208 [binder, in hydras.rpo.list_set]
s2:211 [binder, in hydras.rpo.list_set]
s2:214 [binder, in hydras.rpo.list_set]
s2:218 [binder, in hydras.rpo.list_set]
s2:221 [binder, in hydras.rpo.list_set]
s2:225 [binder, in hydras.rpo.list_set]
s2:227 [binder, in hydras.rpo.list_set]
s2:229 [binder, in hydras.rpo.list_set]
s2:23 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:231 [binder, in hydras.rpo.list_set]
s2:235 [binder, in hydras.Epsilon0.Paths]
s2:24 [binder, in hydras.Ackermann.folLogic2]
s2:240 [binder, in hydras.Epsilon0.Paths]
s2:247 [binder, in hydras.rpo.list_set]
s2:249 [binder, in hydras.rpo.list_set]
s2:251 [binder, in hydras.rpo.list_set]
s2:256 [binder, in hydras.rpo.list_set]
s2:26 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:29 [binder, in hydras.Ackermann.folLogic2]
s2:3 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:30 [binder, in hydras.Hydra.O2H]
s2:30 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:34 [binder, in hydras.Hydra.O2H]
s2:34 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:44 [binder, in hydras.Hydra.Hydra_Definitions]
s2:48 [binder, in hydras.Hydra.Hydra_Lemmas]
s2:821 [binder, in hydras.Ackermann.codeSubFormula]
s2:824 [binder, in hydras.Ackermann.codeSubFormula]
s2:828 [binder, in hydras.Ackermann.codeSubFormula]
s2:844 [binder, in hydras.Ackermann.codeSubFormula]
s2:847 [binder, in hydras.Ackermann.codeSubFormula]
s2:9 [binder, in hydras.rpo.list_set]
s2:900 [binder, in hydras.Ackermann.codeSubFormula]
s2:917 [binder, in hydras.Ackermann.codeSubFormula]
s2:922 [binder, in hydras.Ackermann.codeSubFormula]
s2:927 [binder, in hydras.Ackermann.codeSubFormula]
s2:94 [binder, in hydras.rpo.list_set]
s2:99 [binder, in hydras.rpo.list_set]
s3:178 [binder, in hydras.rpo.list_set]
s3:188 [binder, in hydras.rpo.list_set]
s3:24 [binder, in hydras.Hydra.Hydra_Lemmas]
s3:27 [binder, in hydras.Hydra.Hydra_Lemmas]
s3:31 [binder, in hydras.Hydra.Hydra_Lemmas]
s3:4 [binder, in hydras.Hydra.Hydra_Lemmas]
s:10 [binder, in hydras.Ackermann.codeSubTerm]
S:10 [binder, in hydras.MoreAck.FolExamples]
s:1005 [binder, in hydras.Ackermann.codeSubFormula]
s:1008 [binder, in hydras.Ackermann.codeSubFormula]
s:101 [binder, in hydras.Epsilon0.Paths]
s:101 [binder, in hydras.Ackermann.folReplace]
s:101 [binder, in hydras.rpo.rpo]
s:1011 [binder, in hydras.Ackermann.codeSubFormula]
s:1014 [binder, in hydras.Ackermann.codeSubFormula]
s:1017 [binder, in hydras.Ackermann.codeSubFormula]
s:102 [binder, in hydras.Hydra.O2H]
s:1020 [binder, in hydras.Ackermann.codeSubFormula]
s:1028 [binder, in hydras.Ackermann.codeSubFormula]
s:103 [binder, in hydras.Ackermann.LNN2LNT]
s:103 [binder, in hydras.rpo.rpo]
s:1030 [binder, in hydras.Ackermann.codeSubFormula]
s:1032 [binder, in hydras.Ackermann.codeSubFormula]
s:1034 [binder, in hydras.Ackermann.codeSubFormula]
s:1036 [binder, in hydras.Ackermann.codeSubFormula]
s:1038 [binder, in hydras.Ackermann.codeSubFormula]
s:104 [binder, in hydras.Ackermann.subProp]
s:104 [binder, in hydras.Epsilon0.Paths]
s:1040 [binder, in hydras.Ackermann.codeSubFormula]
s:1042 [binder, in hydras.Ackermann.codeSubFormula]
s:1044 [binder, in hydras.Ackermann.codeSubFormula]
s:1046 [binder, in hydras.Ackermann.codeSubFormula]
s:1049 [binder, in hydras.Ackermann.codeSubFormula]
s:105 [binder, in hydras.Hydra.O2H]
s:105 [binder, in hydras.Ackermann.model]
s:1052 [binder, in hydras.Ackermann.codeSubFormula]
s:1055 [binder, in hydras.Ackermann.codeSubFormula]
s:1058 [binder, in hydras.Ackermann.codeSubFormula]
s:106 [binder, in hydras.Ackermann.folReplace]
s:1061 [binder, in hydras.Ackermann.codeSubFormula]
s:1064 [binder, in hydras.Ackermann.codeSubFormula]
s:1067 [binder, in hydras.Ackermann.codeSubFormula]
s:107 [binder, in hydras.Epsilon0.Paths]
s:1070 [binder, in hydras.Ackermann.codeSubFormula]
s:108 [binder, in hydras.Hydra.O2H]
s:109 [binder, in hydras.Ackermann.model]
s:11 [binder, in hydras.Hydra.Hydra_Lemmas]
s:110 [binder, in hydras.Epsilon0.Paths]
s:111 [binder, in hydras.Ackermann.subAll]
s:112 [binder, in hydras.Epsilon0.Paths]
s:113 [binder, in hydras.Ackermann.model]
s:115 [binder, in additions.AM]
s:116 [binder, in hydras.Ackermann.LNN2LNT]
s:117 [binder, in hydras.Ackermann.subAll]
s:117 [binder, in hydras.Ackermann.model]
s:1170 [binder, in hydras.Ackermann.codeSubFormula]
s:1172 [binder, in hydras.Ackermann.codeSubFormula]
s:1174 [binder, in hydras.Ackermann.codeSubFormula]
s:1176 [binder, in hydras.Ackermann.codeSubFormula]
s:1178 [binder, in hydras.Ackermann.codeSubFormula]
s:118 [binder, in hydras.Ackermann.codeSubFormula]
s:1180 [binder, in hydras.Ackermann.codeSubFormula]
s:1182 [binder, in hydras.Ackermann.codeSubFormula]
s:1184 [binder, in hydras.Ackermann.codeSubFormula]
s:1186 [binder, in hydras.Ackermann.codeSubFormula]
s:1188 [binder, in hydras.Ackermann.codeSubFormula]
s:119 [binder, in hydras.Epsilon0.Paths]
s:1190 [binder, in hydras.Ackermann.codeSubFormula]
s:1192 [binder, in hydras.Ackermann.codeSubFormula]
s:1194 [binder, in hydras.Ackermann.codeSubFormula]
s:1196 [binder, in hydras.Ackermann.codeSubFormula]
s:12 [binder, in hydras.Hydra.Hydra_Termination]
s:12 [binder, in hydras.Hydra.Hydra_Lemmas]
s:120 [binder, in hydras.rpo.rpo]
s:1200 [binder, in hydras.Ackermann.codeSubFormula]
s:1202 [binder, in hydras.Ackermann.codeSubFormula]
s:1204 [binder, in hydras.Ackermann.codeSubFormula]
s:1206 [binder, in hydras.Ackermann.codeSubFormula]
s:121 [binder, in hydras.Ackermann.subProp]
s:121 [binder, in hydras.Ackermann.codeSubFormula]
s:1222 [binder, in hydras.Ackermann.codeSubFormula]
s:1225 [binder, in hydras.Ackermann.codeSubFormula]
s:124 [binder, in hydras.Ackermann.codeSubTerm]
s:124 [binder, in hydras.Ackermann.codeSubFormula]
s:124 [binder, in hydras.Epsilon0.Paths]
s:1251 [binder, in hydras.Ackermann.codeSubFormula]
s:1259 [binder, in hydras.Ackermann.codeSubFormula]
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s:1507 [binder, in hydras.Ackermann.codeSubFormula]
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s:1526 [binder, in hydras.Ackermann.codeSubFormula]
s:1529 [binder, in hydras.Ackermann.codeSubFormula]
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s:158 [binder, in hydras.Epsilon0.Paths]
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s:169 [binder, in additions.AM]
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s:178 [binder, in hydras.Epsilon0.Paths]
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s:180 [binder, in hydras.Schutte.Schutte_basics]
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s:181 [binder, in hydras.rpo.rpo]
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s:188 [binder, in hydras.Epsilon0.Paths]
s:19 [binder, in hydras.Ackermann.LNN2LNT]
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s:194 [binder, in hydras.rpo.rpo]
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s:2 [binder, in gaia_hydras.GLarge_Sets]
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s:7 [binder, in hydras.rpo.list_set]
s:70 [binder, in hydras.Hydra.Hydra_Definitions]
s:700 [binder, in hydras.Ackermann.codeSubFormula]
s:701 [binder, in hydras.Epsilon0.T1]
s:703 [binder, in hydras.Ackermann.codeSubFormula]
s:706 [binder, in hydras.Ackermann.codeSubFormula]
s:709 [binder, in hydras.Ackermann.codeSubFormula]
s:71 [binder, in hydras.Ackermann.codeSubTerm]
s:71 [binder, in hydras.Ackermann.LNN2LNT]
s:71 [binder, in Goedel.codeSysPrf]
s:712 [binder, in hydras.Ackermann.codeSubFormula]
s:715 [binder, in hydras.Ackermann.codeSubFormula]
s:718 [binder, in hydras.Ackermann.codeSubFormula]
s:72 [binder, in hydras.Ackermann.codeSubFormula]
s:72 [binder, in Goedel.rosser]
s:721 [binder, in hydras.Ackermann.codeSubFormula]
s:724 [binder, in hydras.Ackermann.codeSubFormula]
s:73 [binder, in hydras.Ackermann.model]
s:73 [binder, in hydras.Ackermann.subProp]
s:74 [binder, in hydras.Hydra.Hydra_Definitions]
s:75 [binder, in Goedel.PRrepresentable]
s:75 [binder, in hydras.Ackermann.codeSubTerm]
s:75 [binder, in hydras.rpo.rpo]
s:755 [binder, in hydras.Ackermann.codeSubFormula]
s:756 [binder, in hydras.Ackermann.codeSubFormula]
s:757 [binder, in hydras.Ackermann.codeSubFormula]
s:758 [binder, in hydras.Ackermann.codeSubFormula]
s:759 [binder, in hydras.Ackermann.codeSubFormula]
s:760 [binder, in hydras.Ackermann.codeSubFormula]
s:77 [binder, in hydras.Ackermann.codeSubFormula]
s:78 [binder, in additions.AM]
s:78 [binder, in hydras.Prelude.MoreLists]
s:78 [binder, in hydras.Ackermann.subProp]
s:79 [binder, in hydras.Ackermann.codeSubTerm]
s:79 [binder, in hydras.rpo.rpo]
s:8 [binder, in hydras.Prelude.MoreLists]
s:8 [binder, in hydras.Ackermann.codeSubTerm]
s:8 [binder, in hydras.Hydra.Hydra_Termination]
s:8 [binder, in hydras.rpo.rpo]
s:81 [binder, in hydras.Hydra.Hydra_Definitions]
s:816 [binder, in hydras.Ackermann.codeSubFormula]
s:818 [binder, in hydras.Ackermann.codeSubFormula]
s:83 [binder, in hydras.Ackermann.codeSubTerm]
s:83 [binder, in hydras.Ackermann.subProp]
s:83 [binder, in hydras.Hydra.Hydra_Definitions]
s:832 [binder, in hydras.Ackermann.codeSubFormula]
s:835 [binder, in hydras.Ackermann.codeSubFormula]
s:84 [binder, in hydras.Ackermann.model]
s:85 [binder, in hydras.rpo.rpo]
s:860 [binder, in hydras.Ackermann.codeSubFormula]
s:87 [binder, in hydras.Ackermann.codeSubTerm]
s:87 [binder, in hydras.Ackermann.codeSubFormula]
s:87 [binder, in hydras.Hydra.Hydra_Definitions]
s:876 [binder, in hydras.Ackermann.codeSubFormula]
s:88 [binder, in additions.AM]
s:88 [binder, in hydras.Ackermann.subProp]
s:880 [binder, in hydras.Ackermann.codeSubFormula]
s:884 [binder, in hydras.Ackermann.codeSubFormula]
s:89 [binder, in additions.AM]
s:89 [binder, in hydras.Ackermann.model]
s:9 [binder, in hydras.Ackermann.subProp]
S:9 [binder, in hydras.Ackermann.code]
s:9 [binder, in hydras.Hydra.Hydra_Definitions]
s:90 [binder, in hydras.rpo.rpo]
s:91 [binder, in hydras.Ackermann.codeSubTerm]
s:92 [binder, in hydras.Ackermann.subProp]
s:92 [binder, in hydras.Ackermann.codeSubFormula]
s:93 [binder, in hydras.Epsilon0.Paths]
s:93 [binder, in hydras.rpo.rpo]
s:942 [binder, in hydras.Ackermann.codeSubFormula]
s:945 [binder, in hydras.Ackermann.codeSubFormula]
s:948 [binder, in hydras.Ackermann.codeSubFormula]
s:95 [binder, in hydras.Epsilon0.Paths]
s:95 [binder, in hydras.rpo.rpo]
s:951 [binder, in hydras.Ackermann.codeSubFormula]
s:954 [binder, in hydras.Ackermann.codeSubFormula]
s:957 [binder, in hydras.Ackermann.codeSubFormula]
s:96 [binder, in hydras.Ackermann.subProp]
s:96 [binder, in hydras.Ackermann.folReplace]
s:960 [binder, in hydras.Ackermann.codeSubFormula]
s:963 [binder, in hydras.Ackermann.codeSubFormula]
s:966 [binder, in hydras.Ackermann.codeSubFormula]
s:969 [binder, in hydras.Ackermann.codeSubFormula]
s:97 [binder, in hydras.rpo.rpo]
s:972 [binder, in hydras.Ackermann.codeSubFormula]
s:975 [binder, in hydras.Ackermann.codeSubFormula]
s:978 [binder, in hydras.Ackermann.codeSubFormula]
s:98 [binder, in Goedel.PRrepresentable]
s:98 [binder, in hydras.Epsilon0.Paths]
s:983 [binder, in hydras.Ackermann.codeSubFormula]
s:986 [binder, in hydras.Ackermann.codeSubFormula]
s:989 [binder, in hydras.Ackermann.codeSubFormula]
s:99 [binder, in hydras.Ackermann.subAll]
s:99 [binder, in hydras.rpo.rpo]
s:992 [binder, in hydras.Ackermann.codeSubFormula]
s:995 [binder, in hydras.Ackermann.codeSubFormula]
s:998 [binder, in hydras.Ackermann.codeSubFormula]

T

t [definition, in hydras.OrdinalNotations.ON_Omega2]
t [definition, in hydras.OrdinalNotations.ON_O]
t [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
t [definition, in hydras.solutions_exercises.MultisetWf]
t [definition, in hydras.OrdinalNotations.ON_mult]
t [definition, in hydras.OrdinalNotations.ON_plus]
t [definition, in hydras.OrdinalNotations.ON_Finite]
tail_LT_cons [lemma, in hydras.Epsilon0.T1]
tail_lt_cons [lemma, in hydras.Epsilon0.T1]
tail_lt [lemma, in hydras.Epsilon0.T1]
ta1:310 [binder, in hydras.Gamma0.Gamma0]
ta1:314 [binder, in hydras.Gamma0.Gamma0]
ta1:320 [binder, in hydras.Gamma0.Gamma0]
ta1:328 [binder, in hydras.Gamma0.Gamma0]
ta1:334 [binder, in hydras.Gamma0.Gamma0]
ta1:337 [binder, in hydras.Gamma0.Gamma0]
ta1:342 [binder, in hydras.Gamma0.Gamma0]
ta1:349 [binder, in hydras.Gamma0.Gamma0]
ta1:354 [binder, in hydras.Gamma0.Gamma0]
ta1:358 [binder, in hydras.Gamma0.Gamma0]
ta1:364 [binder, in hydras.Gamma0.Gamma0]
ta1:372 [binder, in hydras.Gamma0.Gamma0]
ta1:378 [binder, in hydras.Gamma0.Gamma0]
ta1:381 [binder, in hydras.Gamma0.Gamma0]
ta1:386 [binder, in hydras.Gamma0.Gamma0]
ta1:393 [binder, in hydras.Gamma0.Gamma0]
ta1:398 [binder, in hydras.Gamma0.Gamma0]
ta1:404 [binder, in hydras.Gamma0.Gamma0]
ta1:408 [binder, in hydras.Gamma0.Gamma0]
ta2:311 [binder, in hydras.Gamma0.Gamma0]
ta2:315 [binder, in hydras.Gamma0.Gamma0]
ta2:321 [binder, in hydras.Gamma0.Gamma0]
ta2:329 [binder, in hydras.Gamma0.Gamma0]
ta2:355 [binder, in hydras.Gamma0.Gamma0]
ta2:359 [binder, in hydras.Gamma0.Gamma0]
ta2:365 [binder, in hydras.Gamma0.Gamma0]
ta2:373 [binder, in hydras.Gamma0.Gamma0]
ta2:379 [binder, in hydras.Gamma0.Gamma0]
ta2:382 [binder, in hydras.Gamma0.Gamma0]
ta2:387 [binder, in hydras.Gamma0.Gamma0]
ta2:394 [binder, in hydras.Gamma0.Gamma0]
TA:35 [binder, in hydras.Prelude.DecPreOrder_Instances]
tb1:312 [binder, in hydras.Gamma0.Gamma0]
tb1:316 [binder, in hydras.Gamma0.Gamma0]
tb1:322 [binder, in hydras.Gamma0.Gamma0]
tb1:330 [binder, in hydras.Gamma0.Gamma0]
tb1:335 [binder, in hydras.Gamma0.Gamma0]
tb1:338 [binder, in hydras.Gamma0.Gamma0]
tb1:343 [binder, in hydras.Gamma0.Gamma0]
tb1:350 [binder, in hydras.Gamma0.Gamma0]
tb1:356 [binder, in hydras.Gamma0.Gamma0]
tb1:360 [binder, in hydras.Gamma0.Gamma0]
tb1:366 [binder, in hydras.Gamma0.Gamma0]
tb1:374 [binder, in hydras.Gamma0.Gamma0]
tb1:380 [binder, in hydras.Gamma0.Gamma0]
tb1:383 [binder, in hydras.Gamma0.Gamma0]
tb1:388 [binder, in hydras.Gamma0.Gamma0]
tb1:395 [binder, in hydras.Gamma0.Gamma0]
tb1:399 [binder, in hydras.Gamma0.Gamma0]
tb1:405 [binder, in hydras.Gamma0.Gamma0]
tb1:409 [binder, in hydras.Gamma0.Gamma0]
tb2:313 [binder, in hydras.Gamma0.Gamma0]
tb2:317 [binder, in hydras.Gamma0.Gamma0]
tb2:323 [binder, in hydras.Gamma0.Gamma0]
tb2:331 [binder, in hydras.Gamma0.Gamma0]
tb2:336 [binder, in hydras.Gamma0.Gamma0]
tb2:339 [binder, in hydras.Gamma0.Gamma0]
tb2:344 [binder, in hydras.Gamma0.Gamma0]
tb2:351 [binder, in hydras.Gamma0.Gamma0]
tb2:357 [binder, in hydras.Gamma0.Gamma0]
tb2:361 [binder, in hydras.Gamma0.Gamma0]
tb2:367 [binder, in hydras.Gamma0.Gamma0]
tb2:375 [binder, in hydras.Gamma0.Gamma0]
TB:12 [binder, in hydras.Prelude.DecPreOrder_Instances]
TB:36 [binder, in hydras.Prelude.DecPreOrder_Instances]
Tcons [constructor, in hydras.Ackermann.fol]
tc1:319 [binder, in hydras.Gamma0.Gamma0]
tc1:326 [binder, in hydras.Gamma0.Gamma0]
tc1:341 [binder, in hydras.Gamma0.Gamma0]
tc1:347 [binder, in hydras.Gamma0.Gamma0]
tc1:363 [binder, in hydras.Gamma0.Gamma0]
tc1:370 [binder, in hydras.Gamma0.Gamma0]
tc1:385 [binder, in hydras.Gamma0.Gamma0]
tc1:391 [binder, in hydras.Gamma0.Gamma0]
tc1:402 [binder, in hydras.Gamma0.Gamma0]
tc1:411 [binder, in hydras.Gamma0.Gamma0]
tc2:327 [binder, in hydras.Gamma0.Gamma0]
tc2:333 [binder, in hydras.Gamma0.Gamma0]
tc2:348 [binder, in hydras.Gamma0.Gamma0]
tc2:353 [binder, in hydras.Gamma0.Gamma0]
tc2:371 [binder, in hydras.Gamma0.Gamma0]
tc2:377 [binder, in hydras.Gamma0.Gamma0]
tc2:392 [binder, in hydras.Gamma0.Gamma0]
tc2:397 [binder, in hydras.Gamma0.Gamma0]
tc2:403 [binder, in hydras.Gamma0.Gamma0]
tc2:407 [binder, in hydras.Gamma0.Gamma0]
tc2:412 [binder, in hydras.Gamma0.Gamma0]
ten [definition, in hydras.Epsilon0.T1]
Term [module, in hydras.rpo.term]
Term [abbreviation, in hydras.Ackermann.subAll]
Term [definition, in hydras.Ackermann.LNN]
Term [definition, in hydras.Ackermann.LNT]
Term [abbreviation, in hydras.Ackermann.folProp]
Term [abbreviation, in hydras.Ackermann.codeSubFormula]
Term [inductive, in hydras.Ackermann.fol]
Term [abbreviation, in hydras.Ackermann.folLogic3]
term [library]
terminates [definition, in hydras.Prelude.WfVariant]
Termination [definition, in hydras.Hydra.Hydra_Definitions]
Termination_strong [lemma, in hydras.Hydra.Hydra_Lemmas]
Terms [abbreviation, in hydras.Ackermann.subAll]
Terms [definition, in hydras.Ackermann.LNN]
Terms [definition, in hydras.Ackermann.LNT]
Terms [abbreviation, in hydras.Ackermann.folProp]
Terms [abbreviation, in hydras.Ackermann.codeSubFormula]
Terms [inductive, in hydras.Ackermann.fol]
Terms [abbreviation, in hydras.Ackermann.folLogic3]
terms_eqdec [lemma, in hydras.Ackermann.fol]
Terms_Term_rec_full [definition, in hydras.Ackermann.fol]
Terms_Term_rec [definition, in hydras.Ackermann.fol]
Terms_Term_ind [definition, in hydras.Ackermann.fol]
term_eqdec [lemma, in hydras.Ackermann.fol]
Term_Terms_rec_full [definition, in hydras.Ackermann.fol]
Term_Terms_rec [definition, in hydras.Ackermann.fol]
Term_Terms_ind [definition, in hydras.Ackermann.fol]
Term.apply_subst [definition, in hydras.rpo.term]
Term.direct_subterm [definition, in hydras.rpo.term]
Term.DoubleRecursion [section, in hydras.rpo.term]
Term.DoubleRecursion.Pl2 [variable, in hydras.rpo.term]
Term.DoubleRecursion.P2 [variable, in hydras.rpo.term]
Term.empty_subst_is_id_list [axiom, in hydras.rpo.term]
Term.empty_subst_is_id [axiom, in hydras.rpo.term]
Term.eq_term_dec [axiom, in hydras.rpo.term]
Term.F [module, in hydras.rpo.term]
Term.is_a_pos_exists_subtem [axiom, in hydras.rpo.term]
Term.is_a_pos [definition, in hydras.rpo.term]
Term.map_subst [definition, in hydras.rpo.term]
Term.Recursion [section, in hydras.rpo.term]
Term.Recursion.P [variable, in hydras.rpo.term]
Term.Recursion.Pl [variable, in hydras.rpo.term]
Term.replace_at_pos_list_replace_at_pos_in_subterm [axiom, in hydras.rpo.term]
Term.replace_at_pos_is_replace_at_pos2 [axiom, in hydras.rpo.term]
Term.replace_at_pos_is_replace_at_pos1 [axiom, in hydras.rpo.term]
Term.replace_at_pos_unfold [axiom, in hydras.rpo.term]
Term.replace_at_pos_list [definition, in hydras.rpo.term]
Term.replace_at_pos [definition, in hydras.rpo.term]
Term.size [definition, in hydras.rpo.term]
Term.size_subterm_at_pos [axiom, in hydras.rpo.term]
Term.size_direct_subterm [axiom, in hydras.rpo.term]
Term.size_ge_one [axiom, in hydras.rpo.term]
Term.size_unfold [axiom, in hydras.rpo.term]
Term.substitution [definition, in hydras.rpo.term]
Term.subst_comp_is_subst_comp [axiom, in hydras.rpo.term]
Term.subst_comp_is_subst_comp_aux1 [axiom, in hydras.rpo.term]
Term.subst_comp [definition, in hydras.rpo.term]
Term.subterm_at_pos_apply_subst_apply_subst_subterm_at_pos [axiom, in hydras.rpo.term]
Term.subterm_at_pos [definition, in hydras.rpo.term]
Term.symbol [definition, in hydras.rpo.term]
Term.Term [constructor, in hydras.rpo.term]
Term.term [inductive, in hydras.rpo.term]
Term.Term_eq_dec [module, in hydras.rpo.term]
Term.term_rec8 [axiom, in hydras.rpo.term]
Term.term_rec7 [axiom, in hydras.rpo.term]
Term.term_rec4 [axiom, in hydras.rpo.term]
Term.term_rec3 [axiom, in hydras.rpo.term]
Term.term_rec2 [axiom, in hydras.rpo.term]
Term.Var [constructor, in hydras.rpo.term]
Term.variable [definition, in hydras.rpo.term]
Term.well_formed_apply_subst [axiom, in hydras.rpo.term]
Term.well_formed_subst [definition, in hydras.rpo.term]
Term.well_formed_list [definition, in hydras.rpo.term]
Term.well_formed_fold [axiom, in hydras.rpo.term]
Term.well_formed_unfold [axiom, in hydras.rpo.term]
Term.well_formed [definition, in hydras.rpo.term]
Term.X [module, in hydras.rpo.term]
test [definition, in hydras.Hydra.BigBattle]
the [definition, in hydras.Schutte.MoreEpsilonIota]
Theorem_4_5 [lemma, in hydras.Epsilon0.Large_Sets]
Theorem_4_5 [lemma, in gaia_hydras.GLarge_Sets]
the_least_ok [lemma, in hydras.Schutte.Schutte_basics]
the_least_unicity [lemma, in hydras.Schutte.Well_Orders]
the_least [definition, in hydras.Schutte.Well_Orders]
the_context.About_WO [section, in hydras.Schutte.Well_Orders]
the_context.Lt [variable, in hydras.Schutte.Well_Orders]
the_context.M [variable, in hydras.Schutte.Well_Orders]
the_context [section, in hydras.Schutte.Well_Orders]
the_exponent [definition, in additions.Addition_Chains]
the_exponent_nat [definition, in additions.Addition_Chains]
the_ordering_segment [definition, in hydras.Schutte.Ordering_Functions]
TH_packed [lemma, in hydras.Epsilon0.F_alpha]
th_In [lemma, in hydras.Schutte.Ordering_Functions]
TH_13_6R [lemma, in hydras.Schutte.Ordering_Functions]
TH_13_6 [lemma, in hydras.Schutte.Ordering_Functions]
Th_13_5_2 [lemma, in hydras.Schutte.Ordering_Functions]
Th_13_5_1 [lemma, in hydras.Schutte.Ordering_Functions]
th_14_6 [lemma, in hydras.Gamma0.Gamma0]
th_14_5 [lemma, in hydras.Gamma0.Gamma0]
Th13_8_1 [lemma, in hydras.Schutte.Critical]
Th13_8 [lemma, in hydras.Schutte.Critical]
Th13_5.verso.U_fixed.alpha_ [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_inc_A [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_den [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_non_empty [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed [section, in hydras.Schutte.Ordering_Functions]
Th13_5.verso.B_closed [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.verso [section, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.U [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.den [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.ne [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.inc [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.M [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed [section, in hydras.Schutte.Ordering_Functions]
Th13_5.recto.f_cont [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.recto [section, in hydras.Schutte.Ordering_Functions]
Th13_5.f_ord [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.f [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.B [variable, in hydras.Schutte.Ordering_Functions]
Th13_5.A [variable, in hydras.Schutte.Ordering_Functions]
Th13_5 [section, in hydras.Schutte.Ordering_Functions]
Times_ [constructor, in hydras.Ackermann.Languages]
tj:174 [binder, in hydras.rpo.rpo]
tj:177 [binder, in hydras.rpo.rpo]
tj:180 [binder, in hydras.rpo.rpo]
Tnil [constructor, in hydras.Ackermann.fol]
Too_far [constructor, in hydras.Epsilon0.Large_Sets_Examples]
Total [record, in hydras.Prelude.DecPreOrder]
Total [inductive, in hydras.Prelude.DecPreOrder]
totalness [projection, in hydras.Prelude.DecPreOrder]
totalness [constructor, in hydras.Prelude.DecPreOrder]
TotalPreOrder [record, in hydras.Prelude.DecPreOrder]
Total_Inverse_fun [instance, in hydras.Prelude.DecPreOrder_Instances]
total_pre_order_total [projection, in hydras.Prelude.DecPreOrder]
total_pre_order_pre [projection, in hydras.Prelude.DecPreOrder]
Total_Reflexive [instance, in hydras.Prelude.DecPreOrder]
tower2 [definition, in hydras.solutions_exercises.MorePRExamples]
tower2IsPR [instance, in hydras.solutions_exercises.MorePRExamples]
tower2_alt_PR [instance, in hydras.solutions_exercises.MorePRExamples]
tower2_alt_ok [lemma, in hydras.solutions_exercises.MorePRExamples]
tower2_alt [definition, in hydras.solutions_exercises.MorePRExamples]
Toy [module, in hydras.MoreAck.FolExamples]
Toy.A [abbreviation, in hydras.MoreAck.FolExamples]
Toy.a [abbreviation, in hydras.MoreAck.FolExamples]
Toy.Adds [definition, in hydras.MoreAck.FolExamples]
Toy.arityF [definition, in hydras.MoreAck.FolExamples]
Toy.arityR [definition, in hydras.MoreAck.FolExamples]
Toy.a_ [constructor, in hydras.MoreAck.FolExamples]
Toy.A_ [constructor, in hydras.MoreAck.FolExamples]
Toy.B [abbreviation, in hydras.MoreAck.FolExamples]
Toy.b [abbreviation, in hydras.MoreAck.FolExamples]
Toy.b_ [constructor, in hydras.MoreAck.FolExamples]
Toy.B_ [constructor, in hydras.MoreAck.FolExamples]
Toy.C [abbreviation, in hydras.MoreAck.FolExamples]
Toy.C_ [constructor, in hydras.MoreAck.FolExamples]
Toy.ded1 [lemma, in hydras.MoreAck.FolExamples]
Toy.ded2 [lemma, in hydras.MoreAck.FolExamples]
Toy.ded3 [lemma, in hydras.MoreAck.FolExamples]
Toy.drinkers_thm [lemma, in hydras.MoreAck.FolExamples]
Toy.Drinkers_theorem.f [variable, in hydras.MoreAck.FolExamples]
Toy.Drinkers_theorem [section, in hydras.MoreAck.FolExamples]
Toy.D0 [lemma, in hydras.MoreAck.FolExamples]
Toy.D01 [lemma, in hydras.MoreAck.FolExamples]
Toy.eq_refl [lemma, in hydras.MoreAck.FolExamples]
Toy.f [abbreviation, in hydras.MoreAck.FolExamples]
Toy.Fun [inductive, in hydras.MoreAck.FolExamples]
Toy.f_ [constructor, in hydras.MoreAck.FolExamples]
Toy.F1 [definition, in hydras.MoreAck.FolExamples]
Toy.F2 [definition, in hydras.MoreAck.FolExamples]
Toy.F3 [definition, in hydras.MoreAck.FolExamples]
Toy.F4 [definition, in hydras.MoreAck.FolExamples]
Toy.F5 [definition, in hydras.MoreAck.FolExamples]
Toy.F6 [definition, in hydras.MoreAck.FolExamples]
Toy.g [abbreviation, in hydras.MoreAck.FolExamples]
Toy.g_ [constructor, in hydras.MoreAck.FolExamples]
Toy.h [abbreviation, in hydras.MoreAck.FolExamples]
Toy.h_ [constructor, in hydras.MoreAck.FolExamples]
Toy.L [definition, in hydras.MoreAck.FolExamples]
Toy.Ldec [definition, in hydras.MoreAck.FolExamples]
Toy.MP' [lemma, in hydras.MoreAck.FolExamples]
Toy.OnSubstF [section, in hydras.MoreAck.FolExamples]
Toy.OnSubstF.F [variable, in hydras.MoreAck.FolExamples]
Toy.P [abbreviation, in hydras.MoreAck.FolExamples]
Toy.peirce [lemma, in hydras.MoreAck.FolExamples]
Toy.Peirce [definition, in hydras.MoreAck.FolExamples]
Toy.PeirceProof [section, in hydras.MoreAck.FolExamples]
Toy.PrfContrex7 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfContrex9 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx1 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx10 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx11 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx2 [lemma, in hydras.MoreAck.FolExamples]
Toy.PrfEx2' [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx3 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx4 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx5 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx6 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx8 [definition, in hydras.MoreAck.FolExamples]
Toy.PrfEx9 [definition, in hydras.MoreAck.FolExamples]
Toy.PrimedSymbols [section, in hydras.MoreAck.FolExamples]
Toy.ProofOfEx3 [section, in hydras.MoreAck.FolExamples]
Toy.P_ [constructor, in hydras.MoreAck.FolExamples]
Toy.Q [abbreviation, in hydras.MoreAck.FolExamples]
Toy.Q_ [constructor, in hydras.MoreAck.FolExamples]
Toy.R [abbreviation, in hydras.MoreAck.FolExamples]
Toy.Rel [inductive, in hydras.MoreAck.FolExamples]
Toy.R_ [constructor, in hydras.MoreAck.FolExamples]
Toy.SysPrfEx2 [definition, in hydras.MoreAck.FolExamples]
Toy.t0 [definition, in hydras.MoreAck.FolExamples]
Toy.t1 [definition, in hydras.MoreAck.FolExamples]
Toy.t2 [definition, in hydras.MoreAck.FolExamples]
Toy.t3 [definition, in hydras.MoreAck.FolExamples]
Toy.t4 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm8 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm7 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm6 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm5 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm4 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm3 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm2 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm1 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm0 [definition, in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm [definition, in hydras.MoreAck.FolExamples]
To_lex_prod [instance, in hydras.Prelude.DecPreOrder_Instances]
to:14 [binder, in gaia_hydras.GPaths]
to:36 [binder, in gaia_hydras.GPaths]
to:42 [binder, in gaia_hydras.GPaths]
to:45 [binder, in gaia_hydras.GPaths]
Tprf2T'prf [lemma, in Goedel.rosserPA]
Tprf2T'prf [definition, in Goedel.goedel2]
trace [definition, in hydras.Hydra.Hydra_Definitions]
trace_to_std [lemma, in hydras.Hydra.O2H]
trace_to_std_0 [lemma, in hydras.Hydra.O2H]
trace_to_round_plus [lemma, in hydras.Hydra.O2H]
trace_mult [definition, in additions.Trace_exercise]
trace_compare [definition, in additions.Trace_exercise]
trace_toS [constructor, in hydras.Hydra.Hydra_Definitions]
trace_to1 [constructor, in hydras.Hydra.Hydra_Definitions]
trace_to [inductive, in hydras.Hydra.Hydra_Definitions]
Trace_exercise [library]
trace:125 [binder, in hydras.Ackermann.codeSubFormula]
trace:127 [binder, in hydras.Ackermann.codeSubFormula]
trace:140 [binder, in hydras.Ackermann.codeSubFormula]
trace:142 [binder, in hydras.Ackermann.codeSubFormula]
trace:152 [binder, in hydras.Ackermann.codeSubFormula]
trace:153 [binder, in hydras.Ackermann.codeSubFormula]
trace:154 [binder, in hydras.Ackermann.codeSubFormula]
trace:155 [binder, in hydras.Ackermann.codeSubFormula]
trace:156 [binder, in hydras.Ackermann.codeSubFormula]
trace:157 [binder, in hydras.Ackermann.codeSubFormula]
trace:158 [binder, in hydras.Ackermann.codeSubFormula]
trace:159 [binder, in hydras.Ackermann.codeSubFormula]
trace:160 [binder, in hydras.Ackermann.codeSubFormula]
trace:161 [binder, in hydras.Ackermann.codeSubFormula]
trace:162 [binder, in hydras.Ackermann.codeSubFormula]
trace:164 [binder, in hydras.Ackermann.codeSubFormula]
trace:166 [binder, in hydras.Ackermann.codeSubFormula]
trace:168 [binder, in hydras.Ackermann.codeSubFormula]
trace:170 [binder, in hydras.Ackermann.codeSubFormula]
trace:172 [binder, in hydras.Ackermann.codeSubFormula]
trace:174 [binder, in hydras.Ackermann.codeSubFormula]
trace:176 [binder, in hydras.Ackermann.codeSubFormula]
trace:178 [binder, in hydras.Ackermann.codeSubFormula]
trace:179 [binder, in hydras.Ackermann.codeSubFormula]
trace:180 [binder, in hydras.Ackermann.codeSubFormula]
trace:182 [binder, in hydras.Ackermann.codeSubFormula]
trace:184 [binder, in hydras.Ackermann.codeSubFormula]
trace:186 [binder, in hydras.Ackermann.codeSubFormula]
trace:188 [binder, in hydras.Ackermann.codeSubFormula]
trace:189 [binder, in hydras.Ackermann.codeSubFormula]
trace:190 [binder, in hydras.Ackermann.codeSubFormula]
trace:192 [binder, in hydras.Ackermann.codeSubFormula]
trace:194 [binder, in hydras.Ackermann.codeSubFormula]
trace:195 [binder, in hydras.Ackermann.codeSubFormula]
trace:196 [binder, in hydras.Ackermann.codeSubFormula]
trace:197 [binder, in hydras.Ackermann.codeSubFormula]
trace:198 [binder, in hydras.Ackermann.codeSubFormula]
trace:199 [binder, in hydras.Ackermann.codeSubFormula]
trace:206 [binder, in hydras.Ackermann.codeSubFormula]
trace:214 [binder, in hydras.Ackermann.codeSubFormula]
trace:216 [binder, in hydras.Ackermann.codeSubFormula]
trace:217 [binder, in hydras.Ackermann.codeSubFormula]
trace:218 [binder, in hydras.Ackermann.codeSubFormula]
trace:219 [binder, in hydras.Ackermann.codeSubFormula]
trace:220 [binder, in hydras.Ackermann.codeSubFormula]
trace:221 [binder, in hydras.Ackermann.codeSubFormula]
trace:222 [binder, in hydras.Ackermann.codeSubFormula]
trace:223 [binder, in hydras.Ackermann.codeSubFormula]
trace:224 [binder, in hydras.Ackermann.codeSubFormula]
trace:225 [binder, in hydras.Ackermann.codeSubFormula]
trace:226 [binder, in hydras.Ackermann.codeSubFormula]
trace:228 [binder, in hydras.Ackermann.codeSubFormula]
trace:230 [binder, in hydras.Ackermann.codeSubFormula]
trace:232 [binder, in hydras.Ackermann.codeSubFormula]
trace:234 [binder, in hydras.Ackermann.codeSubFormula]
trace:236 [binder, in hydras.Ackermann.codeSubFormula]
trace:237 [binder, in hydras.Ackermann.codeSubFormula]
trace:239 [binder, in hydras.Ackermann.codeSubFormula]
trace:241 [binder, in hydras.Ackermann.codeSubFormula]
trace:243 [binder, in hydras.Ackermann.codeSubFormula]
trace:245 [binder, in hydras.Ackermann.codeSubFormula]
trace:247 [binder, in hydras.Ackermann.codeSubFormula]
trace:248 [binder, in hydras.Ackermann.codeSubFormula]
trace:249 [binder, in hydras.Ackermann.codeSubFormula]
trace:250 [binder, in hydras.Ackermann.codeSubFormula]
trace:251 [binder, in hydras.Ackermann.codeSubFormula]
trace:252 [binder, in hydras.Ackermann.codeSubFormula]
trace:253 [binder, in hydras.Ackermann.codeSubFormula]
trace:254 [binder, in hydras.Ackermann.codeSubFormula]
trace:255 [binder, in hydras.Ackermann.codeSubFormula]
trace:256 [binder, in hydras.Ackermann.codeSubFormula]
trace:257 [binder, in hydras.Ackermann.codeSubFormula]
trace:258 [binder, in hydras.Ackermann.codeSubFormula]
trace:259 [binder, in hydras.Ackermann.codeSubFormula]
trace:260 [binder, in hydras.Ackermann.codeSubFormula]
trace:261 [binder, in hydras.Ackermann.codeSubFormula]
trace:262 [binder, in hydras.Ackermann.codeSubFormula]
trace:263 [binder, in hydras.Ackermann.codeSubFormula]
trace:264 [binder, in hydras.Ackermann.codeSubFormula]
trace:265 [binder, in hydras.Ackermann.codeSubFormula]
trace:266 [binder, in hydras.Ackermann.codeSubFormula]
trace:268 [binder, in hydras.Ackermann.codeSubFormula]
trace:270 [binder, in hydras.Ackermann.codeSubFormula]
trace:272 [binder, in hydras.Ackermann.codeSubFormula]
trace:274 [binder, in hydras.Ackermann.codeSubFormula]
trace:276 [binder, in hydras.Ackermann.codeSubFormula]
trace:278 [binder, in hydras.Ackermann.codeSubFormula]
trace:279 [binder, in hydras.Ackermann.codeSubFormula]
trace:280 [binder, in hydras.Ackermann.codeSubFormula]
trace:281 [binder, in hydras.Ackermann.codeSubFormula]
trace:282 [binder, in hydras.Ackermann.codeSubFormula]
trace:283 [binder, in hydras.Ackermann.codeSubFormula]
trace:284 [binder, in hydras.Ackermann.codeSubFormula]
trace:285 [binder, in hydras.Ackermann.codeSubFormula]
trace:286 [binder, in hydras.Ackermann.codeSubFormula]
trace:287 [binder, in hydras.Ackermann.codeSubFormula]
trace:288 [binder, in hydras.Ackermann.codeSubFormula]
trace:289 [binder, in hydras.Ackermann.codeSubFormula]
trace:290 [binder, in hydras.Ackermann.codeSubFormula]
trace:291 [binder, in hydras.Ackermann.codeSubFormula]
trace:292 [binder, in hydras.Ackermann.codeSubFormula]
trace:294 [binder, in hydras.Ackermann.codeSubFormula]
trace:296 [binder, in hydras.Ackermann.codeSubFormula]
trace:298 [binder, in hydras.Ackermann.codeSubFormula]
trace:300 [binder, in hydras.Ackermann.codeSubFormula]
trace:302 [binder, in hydras.Ackermann.codeSubFormula]
trace:304 [binder, in hydras.Ackermann.codeSubFormula]
trace:305 [binder, in hydras.Ackermann.codeSubFormula]
trace:306 [binder, in hydras.Ackermann.codeSubFormula]
trace:307 [binder, in hydras.Ackermann.codeSubFormula]
trace:308 [binder, in hydras.Ackermann.codeSubFormula]
trace:309 [binder, in hydras.Ackermann.codeSubFormula]
trace:310 [binder, in hydras.Ackermann.codeSubFormula]
trace:311 [binder, in hydras.Ackermann.codeSubFormula]
trace:312 [binder, in hydras.Ackermann.codeSubFormula]
trace:313 [binder, in hydras.Ackermann.codeSubFormula]
trace:314 [binder, in hydras.Ackermann.codeSubFormula]
trace:315 [binder, in hydras.Ackermann.codeSubFormula]
trace:316 [binder, in hydras.Ackermann.codeSubFormula]
trace:317 [binder, in hydras.Ackermann.codeSubFormula]
trace:318 [binder, in hydras.Ackermann.codeSubFormula]
trace:319 [binder, in hydras.Ackermann.codeSubFormula]
trace:320 [binder, in hydras.Ackermann.codeSubFormula]
trace:321 [binder, in hydras.Ackermann.codeSubFormula]
trace:322 [binder, in hydras.Ackermann.codeSubFormula]
trace:323 [binder, in hydras.Ackermann.codeSubFormula]
trace:324 [binder, in hydras.Ackermann.codeSubFormula]
trace:325 [binder, in hydras.Ackermann.codeSubFormula]
trace:326 [binder, in hydras.Ackermann.codeSubFormula]
trace:327 [binder, in hydras.Ackermann.codeSubFormula]
trace:328 [binder, in hydras.Ackermann.codeSubFormula]
trace:329 [binder, in hydras.Ackermann.codeSubFormula]
trace:330 [binder, in hydras.Ackermann.codeSubFormula]
trace:331 [binder, in hydras.Ackermann.codeSubFormula]
trace:332 [binder, in hydras.Ackermann.codeSubFormula]
trace:333 [binder, in hydras.Ackermann.codeSubFormula]
trace:334 [binder, in hydras.Ackermann.codeSubFormula]
trace:335 [binder, in hydras.Ackermann.codeSubFormula]
trace:336 [binder, in hydras.Ackermann.codeSubFormula]
trace:337 [binder, in hydras.Ackermann.codeSubFormula]
trace:338 [binder, in hydras.Ackermann.codeSubFormula]
trace:340 [binder, in hydras.Ackermann.codeSubFormula]
trace:342 [binder, in hydras.Ackermann.codeSubFormula]
trace:344 [binder, in hydras.Ackermann.codeSubFormula]
trace:346 [binder, in hydras.Ackermann.codeSubFormula]
trace:347 [binder, in hydras.Ackermann.codeSubFormula]
trace:348 [binder, in hydras.Ackermann.codeSubFormula]
trace:349 [binder, in hydras.Ackermann.codeSubFormula]
trace:350 [binder, in hydras.Ackermann.codeSubFormula]
trace:351 [binder, in hydras.Ackermann.codeSubFormula]
trace:352 [binder, in hydras.Ackermann.codeSubFormula]
trace:353 [binder, in hydras.Ackermann.codeSubFormula]
trace:354 [binder, in hydras.Ackermann.codeSubFormula]
trace:355 [binder, in hydras.Ackermann.codeSubFormula]
trace:356 [binder, in hydras.Ackermann.codeSubFormula]
trace:357 [binder, in hydras.Ackermann.codeSubFormula]
trace:358 [binder, in hydras.Ackermann.codeSubFormula]
trace:359 [binder, in hydras.Ackermann.codeSubFormula]
trace:360 [binder, in hydras.Ackermann.codeSubFormula]
trace:361 [binder, in hydras.Ackermann.codeSubFormula]
trace:362 [binder, in hydras.Ackermann.codeSubFormula]
trace:363 [binder, in hydras.Ackermann.codeSubFormula]
trace:364 [binder, in hydras.Ackermann.codeSubFormula]
trace:365 [binder, in hydras.Ackermann.codeSubFormula]
trace:366 [binder, in hydras.Ackermann.codeSubFormula]
trace:367 [binder, in hydras.Ackermann.codeSubFormula]
trace:368 [binder, in hydras.Ackermann.codeSubFormula]
trace:369 [binder, in hydras.Ackermann.codeSubFormula]
trace:370 [binder, in hydras.Ackermann.codeSubFormula]
trace:371 [binder, in hydras.Ackermann.codeSubFormula]
trace:372 [binder, in hydras.Ackermann.codeSubFormula]
trace:373 [binder, in hydras.Ackermann.codeSubFormula]
trace:374 [binder, in hydras.Ackermann.codeSubFormula]
trace:375 [binder, in hydras.Ackermann.codeSubFormula]
trace:376 [binder, in hydras.Ackermann.codeSubFormula]
trace:377 [binder, in hydras.Ackermann.codeSubFormula]
trace:378 [binder, in hydras.Ackermann.codeSubFormula]
trace:379 [binder, in hydras.Ackermann.codeSubFormula]
trace:380 [binder, in hydras.Ackermann.codeSubFormula]
trace:381 [binder, in hydras.Ackermann.codeSubFormula]
trace:382 [binder, in hydras.Ackermann.codeSubFormula]
trace:383 [binder, in hydras.Ackermann.codeSubFormula]
trace:384 [binder, in hydras.Ackermann.codeSubFormula]
trace:385 [binder, in hydras.Ackermann.codeSubFormula]
trace:386 [binder, in hydras.Ackermann.codeSubFormula]
trace:387 [binder, in hydras.Ackermann.codeSubFormula]
trace:388 [binder, in hydras.Ackermann.codeSubFormula]
trace:389 [binder, in hydras.Ackermann.codeSubFormula]
trace:390 [binder, in hydras.Ackermann.codeSubFormula]
trace:391 [binder, in hydras.Ackermann.codeSubFormula]
trace:392 [binder, in hydras.Ackermann.codeSubFormula]
trace:393 [binder, in hydras.Ackermann.codeSubFormula]
trace:394 [binder, in hydras.Ackermann.codeSubFormula]
trace:395 [binder, in hydras.Ackermann.codeSubFormula]
trace:396 [binder, in hydras.Ackermann.codeSubFormula]
trace:397 [binder, in hydras.Ackermann.codeSubFormula]
trace:398 [binder, in hydras.Ackermann.codeSubFormula]
trace:399 [binder, in hydras.Ackermann.codeSubFormula]
trace:400 [binder, in hydras.Ackermann.codeSubFormula]
trace:401 [binder, in hydras.Ackermann.codeSubFormula]
trace:402 [binder, in hydras.Ackermann.codeSubFormula]
trace:403 [binder, in hydras.Ackermann.codeSubFormula]
trace:404 [binder, in hydras.Ackermann.codeSubFormula]
trace:405 [binder, in hydras.Ackermann.codeSubFormula]
trace:406 [binder, in hydras.Ackermann.codeSubFormula]
trace:407 [binder, in hydras.Ackermann.codeSubFormula]
trace:408 [binder, in hydras.Ackermann.codeSubFormula]
trace:410 [binder, in hydras.Ackermann.codeSubFormula]
trace:412 [binder, in hydras.Ackermann.codeSubFormula]
trace:414 [binder, in hydras.Ackermann.codeSubFormula]
trace:416 [binder, in hydras.Ackermann.codeSubFormula]
trace:418 [binder, in hydras.Ackermann.codeSubFormula]
trace:420 [binder, in hydras.Ackermann.codeSubFormula]
trace:422 [binder, in hydras.Ackermann.codeSubFormula]
trace:424 [binder, in hydras.Ackermann.codeSubFormula]
trace:425 [binder, in hydras.Ackermann.codeSubFormula]
trace:426 [binder, in hydras.Ackermann.codeSubFormula]
trace:427 [binder, in hydras.Ackermann.codeSubFormula]
trace:428 [binder, in hydras.Ackermann.codeSubFormula]
trace:429 [binder, in hydras.Ackermann.codeSubFormula]
trace:430 [binder, in hydras.Ackermann.codeSubFormula]
trace:431 [binder, in hydras.Ackermann.codeSubFormula]
trace:432 [binder, in hydras.Ackermann.codeSubFormula]
trace:434 [binder, in hydras.Ackermann.codeSubFormula]
trace:436 [binder, in hydras.Ackermann.codeSubFormula]
trace:438 [binder, in hydras.Ackermann.codeSubFormula]
trace:440 [binder, in hydras.Ackermann.codeSubFormula]
trace:441 [binder, in hydras.Ackermann.codeSubFormula]
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trace:443 [binder, in hydras.Ackermann.codeSubFormula]
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trace:445 [binder, in hydras.Ackermann.codeSubFormula]
trace:446 [binder, in hydras.Ackermann.codeSubFormula]
trace:447 [binder, in hydras.Ackermann.codeSubFormula]
trace:448 [binder, in hydras.Ackermann.codeSubFormula]
trace:450 [binder, in hydras.Ackermann.codeSubFormula]
trace:452 [binder, in hydras.Ackermann.codeSubFormula]
trace:454 [binder, in hydras.Ackermann.codeSubFormula]
trace:456 [binder, in hydras.Ackermann.codeSubFormula]
trace:457 [binder, in hydras.Ackermann.codeSubFormula]
trace:458 [binder, in hydras.Ackermann.codeSubFormula]
trace:459 [binder, in hydras.Ackermann.codeSubFormula]
trace:460 [binder, in hydras.Ackermann.codeSubFormula]
trace:461 [binder, in hydras.Ackermann.codeSubFormula]
trace:462 [binder, in hydras.Ackermann.codeSubFormula]
trace:463 [binder, in hydras.Ackermann.codeSubFormula]
trace:464 [binder, in hydras.Ackermann.codeSubFormula]
trace:465 [binder, in hydras.Ackermann.codeSubFormula]
trace:466 [binder, in hydras.Ackermann.codeSubFormula]
trace:467 [binder, in hydras.Ackermann.codeSubFormula]
trace:468 [binder, in hydras.Ackermann.codeSubFormula]
trace:469 [binder, in hydras.Ackermann.codeSubFormula]
trace:470 [binder, in hydras.Ackermann.codeSubFormula]
trace:471 [binder, in hydras.Ackermann.codeSubFormula]
trace:472 [binder, in hydras.Ackermann.codeSubFormula]
trace:473 [binder, in hydras.Ackermann.codeSubFormula]
trace:474 [binder, in hydras.Ackermann.codeSubFormula]
trace:475 [binder, in hydras.Ackermann.codeSubFormula]
trace:476 [binder, in hydras.Ackermann.codeSubFormula]
trace:477 [binder, in hydras.Ackermann.codeSubFormula]
trace:478 [binder, in hydras.Ackermann.codeSubFormula]
trace:479 [binder, in hydras.Ackermann.codeSubFormula]
trace:480 [binder, in hydras.Ackermann.codeSubFormula]
trace:481 [binder, in hydras.Ackermann.codeSubFormula]
trace:482 [binder, in hydras.Ackermann.codeSubFormula]
trace:483 [binder, in hydras.Ackermann.codeSubFormula]
trace:484 [binder, in hydras.Ackermann.codeSubFormula]
trace:485 [binder, in hydras.Ackermann.codeSubFormula]
trace:486 [binder, in hydras.Ackermann.codeSubFormula]
trace:487 [binder, in hydras.Ackermann.codeSubFormula]
trace:488 [binder, in hydras.Ackermann.codeSubFormula]
trace:489 [binder, in hydras.Ackermann.codeSubFormula]
trace:490 [binder, in hydras.Ackermann.codeSubFormula]
trace:492 [binder, in hydras.Ackermann.codeSubFormula]
trace:494 [binder, in hydras.Ackermann.codeSubFormula]
trace:496 [binder, in hydras.Ackermann.codeSubFormula]
trace:498 [binder, in hydras.Ackermann.codeSubFormula]
trace:499 [binder, in hydras.Ackermann.codeSubFormula]
trace:500 [binder, in hydras.Ackermann.codeSubFormula]
trace:501 [binder, in hydras.Ackermann.codeSubFormula]
trace:502 [binder, in hydras.Ackermann.codeSubFormula]
trace:503 [binder, in hydras.Ackermann.codeSubFormula]
trace:504 [binder, in hydras.Ackermann.codeSubFormula]
trace:506 [binder, in hydras.Ackermann.codeSubFormula]
trace:508 [binder, in hydras.Ackermann.codeSubFormula]
trace:510 [binder, in hydras.Ackermann.codeSubFormula]
trace:512 [binder, in hydras.Ackermann.codeSubFormula]
trace:513 [binder, in hydras.Ackermann.codeSubFormula]
trace:514 [binder, in hydras.Ackermann.codeSubFormula]
trace:515 [binder, in hydras.Ackermann.codeSubFormula]
trace:516 [binder, in hydras.Ackermann.codeSubFormula]
trace:517 [binder, in hydras.Ackermann.codeSubFormula]
trace:518 [binder, in hydras.Ackermann.codeSubFormula]
trace:519 [binder, in hydras.Ackermann.codeSubFormula]
trace:520 [binder, in hydras.Ackermann.codeSubFormula]
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trace:522 [binder, in hydras.Ackermann.codeSubFormula]
trace:523 [binder, in hydras.Ackermann.codeSubFormula]
trace:524 [binder, in hydras.Ackermann.codeSubFormula]
trace:525 [binder, in hydras.Ackermann.codeSubFormula]
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trace:530 [binder, in hydras.Ackermann.codeSubFormula]
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trace:535 [binder, in hydras.Ackermann.codeSubFormula]
trace:536 [binder, in hydras.Ackermann.codeSubFormula]
trace:537 [binder, in hydras.Ackermann.codeSubFormula]
trace:538 [binder, in hydras.Ackermann.codeSubFormula]
trace:540 [binder, in hydras.Ackermann.codeSubFormula]
trace:542 [binder, in hydras.Ackermann.codeSubFormula]
trace:544 [binder, in hydras.Ackermann.codeSubFormula]
trace:546 [binder, in hydras.Ackermann.codeSubFormula]
trace:547 [binder, in hydras.Ackermann.codeSubFormula]
trace:548 [binder, in hydras.Ackermann.codeSubFormula]
trace:549 [binder, in hydras.Ackermann.codeSubFormula]
trace:550 [binder, in hydras.Ackermann.codeSubFormula]
trace:551 [binder, in hydras.Ackermann.codeSubFormula]
trace:552 [binder, in hydras.Ackermann.codeSubFormula]
trace:554 [binder, in hydras.Ackermann.codeSubFormula]
trace:556 [binder, in hydras.Ackermann.codeSubFormula]
trace:558 [binder, in hydras.Ackermann.codeSubFormula]
trace:560 [binder, in hydras.Ackermann.codeSubFormula]
trace:561 [binder, in hydras.Ackermann.codeSubFormula]
trace:562 [binder, in hydras.Ackermann.codeSubFormula]
trace:563 [binder, in hydras.Ackermann.codeSubFormula]
trace:564 [binder, in hydras.Ackermann.codeSubFormula]
trace:565 [binder, in hydras.Ackermann.codeSubFormula]
trace:566 [binder, in hydras.Ackermann.codeSubFormula]
trace:567 [binder, in hydras.Ackermann.codeSubFormula]
trace:568 [binder, in hydras.Ackermann.codeSubFormula]
trace:569 [binder, in hydras.Ackermann.codeSubFormula]
trace:57 [binder, in hydras.Ackermann.codeSubFormula]
trace:570 [binder, in hydras.Ackermann.codeSubFormula]
trace:571 [binder, in hydras.Ackermann.codeSubFormula]
trace:572 [binder, in hydras.Ackermann.codeSubFormula]
trace:573 [binder, in hydras.Ackermann.codeSubFormula]
trace:574 [binder, in hydras.Ackermann.codeSubFormula]
trace:575 [binder, in hydras.Ackermann.codeSubFormula]
trace:576 [binder, in hydras.Ackermann.codeSubFormula]
trace:577 [binder, in hydras.Ackermann.codeSubFormula]
trace:578 [binder, in hydras.Ackermann.codeSubFormula]
trace:579 [binder, in hydras.Ackermann.codeSubFormula]
trace:580 [binder, in hydras.Ackermann.codeSubFormula]
trace:581 [binder, in hydras.Ackermann.codeSubFormula]
trace:582 [binder, in hydras.Ackermann.codeSubFormula]
trace:583 [binder, in hydras.Ackermann.codeSubFormula]
trace:584 [binder, in hydras.Ackermann.codeSubFormula]
trace:585 [binder, in hydras.Ackermann.codeSubFormula]
trace:586 [binder, in hydras.Ackermann.codeSubFormula]
trace:587 [binder, in hydras.Ackermann.codeSubFormula]
trace:588 [binder, in hydras.Ackermann.codeSubFormula]
trace:589 [binder, in hydras.Ackermann.codeSubFormula]
trace:590 [binder, in hydras.Ackermann.codeSubFormula]
trace:591 [binder, in hydras.Ackermann.codeSubFormula]
trace:592 [binder, in hydras.Ackermann.codeSubFormula]
trace:593 [binder, in hydras.Ackermann.codeSubFormula]
trace:594 [binder, in hydras.Ackermann.codeSubFormula]
trace:595 [binder, in hydras.Ackermann.codeSubFormula]
trace:596 [binder, in hydras.Ackermann.codeSubFormula]
trace:597 [binder, in hydras.Ackermann.codeSubFormula]
trace:598 [binder, in hydras.Ackermann.codeSubFormula]
trace:599 [binder, in hydras.Ackermann.codeSubFormula]
trace:600 [binder, in hydras.Ackermann.codeSubFormula]
trace:601 [binder, in hydras.Ackermann.codeSubFormula]
trace:602 [binder, in hydras.Ackermann.codeSubFormula]
trace:603 [binder, in hydras.Ackermann.codeSubFormula]
trace:604 [binder, in hydras.Ackermann.codeSubFormula]
trace:605 [binder, in hydras.Ackermann.codeSubFormula]
trace:606 [binder, in hydras.Ackermann.codeSubFormula]
trace:607 [binder, in hydras.Ackermann.codeSubFormula]
trace:608 [binder, in hydras.Ackermann.codeSubFormula]
trace:609 [binder, in hydras.Ackermann.codeSubFormula]
trace:610 [binder, in hydras.Ackermann.codeSubFormula]
trace:611 [binder, in hydras.Ackermann.codeSubFormula]
trace:612 [binder, in hydras.Ackermann.codeSubFormula]
trace:613 [binder, in hydras.Ackermann.codeSubFormula]
trace:614 [binder, in hydras.Ackermann.codeSubFormula]
trace:615 [binder, in hydras.Ackermann.codeSubFormula]
trace:616 [binder, in hydras.Ackermann.codeSubFormula]
trace:617 [binder, in hydras.Ackermann.codeSubFormula]
trace:618 [binder, in hydras.Ackermann.codeSubFormula]
trace:620 [binder, in hydras.Ackermann.codeSubFormula]
trace:622 [binder, in hydras.Ackermann.codeSubFormula]
trace:624 [binder, in hydras.Ackermann.codeSubFormula]
trace:626 [binder, in hydras.Ackermann.codeSubFormula]
trace:628 [binder, in hydras.Ackermann.codeSubFormula]
trace:630 [binder, in hydras.Ackermann.codeSubFormula]
trace:632 [binder, in hydras.Ackermann.codeSubFormula]
trace:634 [binder, in hydras.Ackermann.codeSubFormula]
trace:635 [binder, in hydras.Ackermann.codeSubFormula]
trace:636 [binder, in hydras.Ackermann.codeSubFormula]
trace:637 [binder, in hydras.Ackermann.codeSubFormula]
trace:638 [binder, in hydras.Ackermann.codeSubFormula]
trace:639 [binder, in hydras.Ackermann.codeSubFormula]
trace:640 [binder, in hydras.Ackermann.codeSubFormula]
trace:641 [binder, in hydras.Ackermann.codeSubFormula]
trace:642 [binder, in hydras.Ackermann.codeSubFormula]
trace:644 [binder, in hydras.Ackermann.codeSubFormula]
trace:646 [binder, in hydras.Ackermann.codeSubFormula]
trace:648 [binder, in hydras.Ackermann.codeSubFormula]
trace:650 [binder, in hydras.Ackermann.codeSubFormula]
trace:651 [binder, in hydras.Ackermann.codeSubFormula]
trace:652 [binder, in hydras.Ackermann.codeSubFormula]
trace:653 [binder, in hydras.Ackermann.codeSubFormula]
trace:654 [binder, in hydras.Ackermann.codeSubFormula]
trace:655 [binder, in hydras.Ackermann.codeSubFormula]
trace:656 [binder, in hydras.Ackermann.codeSubFormula]
trace:657 [binder, in hydras.Ackermann.codeSubFormula]
trace:658 [binder, in hydras.Ackermann.codeSubFormula]
trace:659 [binder, in hydras.Ackermann.codeSubFormula]
trace:660 [binder, in hydras.Ackermann.codeSubFormula]
trace:661 [binder, in hydras.Ackermann.codeSubFormula]
trace:662 [binder, in hydras.Ackermann.codeSubFormula]
trace:663 [binder, in hydras.Ackermann.codeSubFormula]
trace:664 [binder, in hydras.Ackermann.codeSubFormula]
trace:665 [binder, in hydras.Ackermann.codeSubFormula]
trace:666 [binder, in hydras.Ackermann.codeSubFormula]
trace:667 [binder, in hydras.Ackermann.codeSubFormula]
trace:668 [binder, in hydras.Ackermann.codeSubFormula]
trace:669 [binder, in hydras.Ackermann.codeSubFormula]
trace:670 [binder, in hydras.Ackermann.codeSubFormula]
trace:671 [binder, in hydras.Ackermann.codeSubFormula]
trace:672 [binder, in hydras.Ackermann.codeSubFormula]
trace:673 [binder, in hydras.Ackermann.codeSubFormula]
trace:674 [binder, in hydras.Ackermann.codeSubFormula]
trace:675 [binder, in hydras.Ackermann.codeSubFormula]
trace:676 [binder, in hydras.Ackermann.codeSubFormula]
trace:677 [binder, in hydras.Ackermann.codeSubFormula]
trace:678 [binder, in hydras.Ackermann.codeSubFormula]
trace:679 [binder, in hydras.Ackermann.codeSubFormula]
trace:680 [binder, in hydras.Ackermann.codeSubFormula]
trace:681 [binder, in hydras.Ackermann.codeSubFormula]
trace:682 [binder, in hydras.Ackermann.codeSubFormula]
trace:683 [binder, in hydras.Ackermann.codeSubFormula]
trace:684 [binder, in hydras.Ackermann.codeSubFormula]
trace:685 [binder, in hydras.Ackermann.codeSubFormula]
trace:686 [binder, in hydras.Ackermann.codeSubFormula]
trace:687 [binder, in hydras.Ackermann.codeSubFormula]
trace:688 [binder, in hydras.Ackermann.codeSubFormula]
trace:689 [binder, in hydras.Ackermann.codeSubFormula]
trace:690 [binder, in hydras.Ackermann.codeSubFormula]
trace:691 [binder, in hydras.Ackermann.codeSubFormula]
transfinite_recursor [definition, in hydras.Epsilon0.T1]
transfinite_recursor_lt [definition, in hydras.Epsilon0.T1]
transfinite_induction [lemma, in hydras.Schutte.Schutte_basics]
transfinite_induction_Q [definition, in hydras.Gamma0.Gamma0]
transfinite_induction [definition, in hydras.Gamma0.Gamma0]
transition [definition, in gaia_hydras.GPaths]
transition [definition, in hydras.Epsilon0.Paths]
transitionb [definition, in gaia_hydras.GPaths]
transitionP [lemma, in gaia_hydras.GPaths]
transition_S [definition, in hydras.Epsilon0.Paths]
translateLT [definition, in hydras.Ackermann.LNN2LNT]
translateLT1 [lemma, in hydras.Ackermann.LNN2LNT]
translatePrf [lemma, in hydras.Ackermann.LNN2LNT]
translateProof [lemma, in hydras.Ackermann.LNN2LNT]
Translate_Proof.AxiomsOK [variable, in hydras.Ackermann.LNN2LNT]
Translate_Proof.V [variable, in hydras.Ackermann.LNN2LNT]
Translate_Proof.U [variable, in hydras.Ackermann.LNN2LNT]
Translate_Proof [section, in hydras.Ackermann.LNN2LNT]
trans_aux [lemma, in hydras.Gamma0.Gamma0]
trans_proof.induc [variable, in hydras.Gamma0.Gamma0]
trans_proof.H23 [variable, in hydras.Gamma0.Gamma0]
trans_proof.H12 [variable, in hydras.Gamma0.Gamma0]
trans_proof.n3 [variable, in hydras.Gamma0.Gamma0]
trans_proof.n2 [variable, in hydras.Gamma0.Gamma0]
trans_proof.n1 [variable, in hydras.Gamma0.Gamma0]
trans_proof.c3 [variable, in hydras.Gamma0.Gamma0]
trans_proof.b3 [variable, in hydras.Gamma0.Gamma0]
trans_proof.a3 [variable, in hydras.Gamma0.Gamma0]
trans_proof.c2 [variable, in hydras.Gamma0.Gamma0]
trans_proof.b2 [variable, in hydras.Gamma0.Gamma0]
trans_proof.a2 [variable, in hydras.Gamma0.Gamma0]
trans_proof.c1 [variable, in hydras.Gamma0.Gamma0]
trans_proof.b1 [variable, in hydras.Gamma0.Gamma0]
trans_proof.a1 [variable, in hydras.Gamma0.Gamma0]
trans_proof [section, in hydras.Gamma0.Gamma0]
trans_clos_is_trans [lemma, in hydras.rpo.closure]
trans_clos [inductive, in hydras.rpo.closure]
Trans_lex [instance, in hydras.Prelude.Simple_LexProd]
TreeT1K [lemma, in gaia_hydras.T1Choice]
Tree2T1 [definition, in gaia_hydras.T1Choice]
trichotomy [lemma, in hydras.Schutte.Schutte_basics]
tricho_aux [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_7 [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_5 [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_4' [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_4 [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_3 [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_2' [lemma, in hydras.Gamma0.Gamma0]
tricho_lt_2 [lemma, in hydras.Gamma0.Gamma0]
triple:184 [binder, in hydras.rpo.rpo]
triple:186 [binder, in hydras.rpo.rpo]
Tr:100 [binder, in hydras.Hydra.Hydra_Lemmas]
ts:10 [binder, in hydras.Ackermann.folProp]
ts:100 [binder, in hydras.Ackermann.subProp]
ts:102 [binder, in hydras.Ackermann.subAll]
ts:105 [binder, in hydras.Ackermann.subAll]
ts:105 [binder, in hydras.Ackermann.LNN2LNT]
ts:106 [binder, in hydras.Ackermann.subProp]
ts:107 [binder, in hydras.Ackermann.LNN2LNT]
ts:108 [binder, in hydras.Ackermann.subAll]
ts:108 [binder, in hydras.Ackermann.subProp]
ts:11 [binder, in hydras.Ackermann.codeFreeVar]
ts:11 [binder, in hydras.Ackermann.PA]
ts:110 [binder, in hydras.Ackermann.LNN2LNT]
ts:112 [binder, in hydras.Ackermann.LNN2LNT]
ts:112 [binder, in hydras.Ackermann.fol]
ts:115 [binder, in hydras.Ackermann.subProp]
ts:117 [binder, in hydras.Ackermann.subProp]
ts:119 [binder, in hydras.Ackermann.subProp]
ts:119 [binder, in hydras.Ackermann.fol]
ts:12 [binder, in hydras.Ackermann.LNN2LNT]
ts:12 [binder, in hydras.Ackermann.subProp]
ts:123 [binder, in hydras.Ackermann.subProp]
ts:124 [binder, in hydras.Ackermann.fol]
ts:1253 [binder, in hydras.Ackermann.codeSubFormula]
ts:1255 [binder, in hydras.Ackermann.codeSubFormula]
ts:1261 [binder, in hydras.Ackermann.codeSubFormula]
ts:1263 [binder, in hydras.Ackermann.codeSubFormula]
ts:1265 [binder, in hydras.Ackermann.codeSubFormula]
ts:128 [binder, in hydras.Ackermann.subProp]
ts:129 [binder, in hydras.Ackermann.fol]
ts:13 [binder, in hydras.Ackermann.codeFreeVar]
ts:14 [binder, in hydras.Ackermann.LNN2LNT]
ts:149 [binder, in hydras.Ackermann.folProp]
ts:15 [binder, in hydras.Ackermann.wellFormed]
ts:16 [binder, in hydras.Ackermann.folLogic2]
ts:16 [binder, in hydras.Ackermann.LNN2LNT]
ts:161 [binder, in hydras.Ackermann.model]
ts:17 [binder, in hydras.Ackermann.subProp]
ts:17 [binder, in hydras.Ackermann.wellFormed]
ts:18 [binder, in hydras.Ackermann.subAll]
ts:18 [binder, in hydras.Ackermann.folLogic2]
ts:180 [binder, in hydras.Ackermann.subAll]
ts:183 [binder, in hydras.Ackermann.subAll]
ts:186 [binder, in hydras.Ackermann.subAll]
ts:20 [binder, in hydras.Ackermann.folLogic2]
ts:21 [binder, in hydras.Ackermann.LNN2LNT]
ts:212 [binder, in hydras.Ackermann.subAll]
ts:217 [binder, in hydras.Ackermann.subAll]
ts:22 [binder, in hydras.Ackermann.model]
ts:22 [binder, in hydras.Ackermann.code]
ts:222 [binder, in hydras.Ackermann.subAll]
ts:23 [binder, in hydras.Ackermann.subAll]
ts:23 [binder, in hydras.Ackermann.codeFreeVar]
ts:23 [binder, in hydras.Ackermann.LNN2LNT]
ts:25 [binder, in hydras.Ackermann.LNN2LNT]
ts:27 [binder, in hydras.Ackermann.codeSubTerm]
ts:27 [binder, in hydras.Ackermann.folLogic3]
ts:28 [binder, in hydras.Ackermann.subAll]
ts:28 [binder, in hydras.Ackermann.wellFormed]
ts:29 [binder, in hydras.Ackermann.codeSubTerm]
ts:29 [binder, in hydras.Ackermann.folLogic3]
ts:3 [binder, in hydras.Ackermann.LNN2LNT]
ts:30 [binder, in hydras.Ackermann.LNN2LNT]
ts:30 [binder, in hydras.Ackermann.subProp]
ts:30 [binder, in hydras.Ackermann.code]
ts:30 [binder, in hydras.Ackermann.wellFormed]
ts:32 [binder, in hydras.Ackermann.wellFormed]
ts:33 [binder, in hydras.Ackermann.model]
ts:33 [binder, in hydras.Ackermann.code]
ts:35 [binder, in hydras.Ackermann.subProp]
ts:36 [binder, in hydras.Ackermann.code]
ts:36 [binder, in hydras.Ackermann.folLogic3]
ts:37 [binder, in hydras.Ackermann.codeSubTerm]
ts:39 [binder, in hydras.Ackermann.LNN2LNT]
ts:4 [binder, in hydras.Ackermann.subAll]
ts:40 [binder, in hydras.Ackermann.subProp]
ts:41 [binder, in hydras.Ackermann.LNN2LNT]
ts:42 [binder, in hydras.Ackermann.LNN2LNT]
ts:420 [binder, in hydras.Ackermann.folProp]
ts:422 [binder, in hydras.Ackermann.folProp]
ts:424 [binder, in hydras.Ackermann.folProp]
ts:43 [binder, in hydras.Ackermann.folLogic3]
ts:44 [binder, in hydras.Ackermann.wellFormed]
ts:49 [binder, in hydras.Ackermann.wellFormed]
ts:50 [binder, in hydras.Ackermann.folLogic3]
ts:53 [binder, in hydras.Ackermann.LNN2LNT]
ts:53 [binder, in hydras.Ackermann.model]
ts:53 [binder, in hydras.Ackermann.subProp]
ts:54 [binder, in hydras.Ackermann.wellFormed]
ts:57 [binder, in hydras.Ackermann.model]
ts:58 [binder, in hydras.Ackermann.subProp]
ts:58 [binder, in hydras.Ackermann.folLogic3]
ts:63 [binder, in hydras.Ackermann.subAll]
ts:63 [binder, in hydras.Ackermann.model]
ts:63 [binder, in hydras.Ackermann.subProp]
ts:63 [binder, in hydras.Ackermann.wellFormed]
ts:65 [binder, in hydras.Ackermann.folProp]
ts:65 [binder, in hydras.Ackermann.fol]
ts:66 [binder, in hydras.Ackermann.subAll]
ts:67 [binder, in hydras.Ackermann.folLogic3]
ts:69 [binder, in hydras.Ackermann.subAll]
ts:7 [binder, in hydras.Ackermann.subProp]
ts:72 [binder, in hydras.Ackermann.fol]
ts:75 [binder, in hydras.Ackermann.model]
ts:76 [binder, in hydras.Ackermann.subProp]
ts:77 [binder, in hydras.Ackermann.fol]
ts:77 [binder, in hydras.Ackermann.folLogic3]
ts:78 [binder, in hydras.Ackermann.subAll]
ts:78 [binder, in hydras.Ackermann.model]
ts:80 [binder, in hydras.Ackermann.subAll]
ts:81 [binder, in hydras.Ackermann.subProp]
ts:82 [binder, in hydras.Ackermann.subAll]
ts:82 [binder, in hydras.Ackermann.model]
ts:82 [binder, in hydras.Ackermann.fol]
ts:86 [binder, in hydras.Ackermann.subProp]
ts:874 [binder, in hydras.Ackermann.codeSubFormula]
ts:878 [binder, in hydras.Ackermann.codeSubFormula]
ts:882 [binder, in hydras.Ackermann.codeSubFormula]
ts:91 [binder, in hydras.Ackermann.folLogic3]
ts:914 [binder, in hydras.Ackermann.codeSubFormula]
ts:919 [binder, in hydras.Ackermann.codeSubFormula]
ts:924 [binder, in hydras.Ackermann.codeSubFormula]
ts:93 [binder, in hydras.Ackermann.fol]
ts:93 [binder, in hydras.Ackermann.folLogic3]
ts:96 [binder, in hydras.Ackermann.fol]
ts:97 [binder, in hydras.Ackermann.folLogic3]
ts:98 [binder, in hydras.Ackermann.subProp]
Two [instance, in hydras.Epsilon0.E0]
two [definition, in additions.BinaryStrat]
Two_strat [instance, in additions.BinaryStrat]
type:64 [binder, in hydras.Ackermann.codeSubFormula]
type:792 [binder, in hydras.Ackermann.checkPrf]
type:840 [binder, in hydras.Ackermann.checkPrf]
type:843 [binder, in hydras.Ackermann.checkPrf]
t_trans [constructor, in hydras.rpo.closure]
t_step [constructor, in hydras.rpo.closure]
t_0_nil [lemma, in hydras.Prelude.MoreVectors]
T' [definition, in Goedel.rosserPA]
T' [definition, in Goedel.goedel2]
T'prf2Tprf [lemma, in Goedel.rosserPA]
t'':115 [binder, in hydras.Gamma0.Gamma0]
t':114 [binder, in hydras.Gamma0.Gamma0]
t':16 [binder, in additions.Trace_exercise]
t':165 [binder, in additions.Addition_Chains]
t':178 [binder, in additions.Addition_Chains]
t':322 [binder, in hydras.rpo.rpo]
t':323 [binder, in hydras.rpo.rpo]
t':70 [binder, in hydras.Gamma0.T2]
t':86 [binder, in additions.Addition_Chains]
t':89 [binder, in hydras.Gamma0.Gamma0]
t':91 [binder, in hydras.Gamma0.Gamma0]
t':93 [binder, in hydras.Gamma0.Gamma0]
t0_empty [lemma, in hydras.OrdinalNotations.ON_Finite]
t0:171 [binder, in hydras.Ackermann.folProp]
t0:18 [binder, in hydras.Ackermann.codeFreeVar]
t0:18 [binder, in hydras.Ackermann.codeSubTerm]
t0:187 [binder, in hydras.Ackermann.folProp]
t0:20 [binder, in hydras.Ackermann.codeFreeVar]
t0:202 [binder, in hydras.Ackermann.fol]
t0:203 [binder, in hydras.Ackermann.folProp]
t0:219 [binder, in hydras.Ackermann.folProp]
t0:22 [binder, in hydras.Ackermann.codeSubTerm]
t0:225 [binder, in hydras.Ackermann.fol]
t0:24 [binder, in hydras.Ackermann.codeFreeVar]
t0:243 [binder, in hydras.Ackermann.fol]
t0:250 [binder, in hydras.Ackermann.folProp]
t0:26 [binder, in hydras.Ackermann.codeFreeVar]
t0:266 [binder, in hydras.Ackermann.folProp]
t0:293 [binder, in hydras.Ackermann.fol]
t0:299 [binder, in hydras.Ackermann.folProp]
t0:315 [binder, in hydras.Ackermann.folProp]
t0:331 [binder, in hydras.Ackermann.folProp]
t0:339 [binder, in hydras.Ackermann.fol]
t0:347 [binder, in hydras.Ackermann.folProp]
t0:363 [binder, in hydras.Ackermann.folProp]
t0:379 [binder, in hydras.Ackermann.folProp]
t0:383 [binder, in hydras.Ackermann.fol]
t0:40 [binder, in hydras.Ackermann.codeSubTerm]
t0:437 [binder, in hydras.Ackermann.fol]
t0:44 [binder, in hydras.Ackermann.codeSubTerm]
t0:84 [binder, in hydras.Ackermann.codeSubFormula]
t0:861 [binder, in hydras.Ackermann.codeSubFormula]
t0:864 [binder, in hydras.Ackermann.codeSubFormula]
t0:885 [binder, in hydras.Ackermann.codeSubFormula]
t0:888 [binder, in hydras.Ackermann.codeSubFormula]
t0:9 [binder, in hydras.Ackermann.PA]
t0:901 [binder, in hydras.Ackermann.codeSubFormula]
t0:904 [binder, in hydras.Ackermann.codeSubFormula]
t0:928 [binder, in hydras.Ackermann.codeSubFormula]
t0:931 [binder, in hydras.Ackermann.codeSubFormula]
T1 [inductive, in hydras.Epsilon0.T1]
T1 [abbreviation, in gaia_hydras.T1Bridge]
T1 [library]
T1add [definition, in hydras.Epsilon0.T1]
T1addA [lemma, in hydras.Epsilon0.T1]
T1addAssoc [instance, in hydras.Epsilon0.T1]
T1add_not_monotonous_l [lemma, in hydras.Epsilon0.T1]
T1Bridge [library]
T1Choice [definition, in gaia_hydras.T1Choice]
T1Choice [library]
T1compare [instance, in gaia_hydras.T1Bridge]
T1compare_correct [lemma, in gaia_hydras.T1Bridge]
T1eqE [lemma, in gaia_hydras.T1Bridge]
T1eq_h2g [lemma, in gaia_hydras.T1Bridge]
T1eq_refl [lemma, in gaia_hydras.T1Bridge]
T1F_ [definition, in gaia_hydras.GF_alpha]
T1is_succ_iff [lemma, in hydras.Epsilon0.T1]
T1is_succ_def [lemma, in hydras.Epsilon0.T1]
T1is_succ [definition, in hydras.Epsilon0.T1]
T1is_succ_ref [lemma, in gaia_hydras.T1Bridge]
T1leOrderMixin [definition, in gaia_hydras.T1Choice]
T1le_asym [lemma, in gaia_hydras.T1Choice]
T1le_iff [lemma, in gaia_hydras.T1Bridge]
T1limit [definition, in hydras.Epsilon0.T1]
T1limit_succ_tail [lemma, in hydras.Epsilon0.T1]
T1limit_not_zero [lemma, in hydras.Epsilon0.T1]
T1limit_succ [lemma, in hydras.Epsilon0.T1]
T1limit_cases [lemma, in hydras.Epsilon0.T1]
T1limit_ref [lemma, in gaia_hydras.T1Bridge]
T1limit_canonS_not_zero [lemma, in hydras.Epsilon0.Canon]
T1limit_plus [lemma, in hydras.Epsilon0.E0]
T1limit_phi0 [lemma, in hydras.Epsilon0.E0]
T1limit_Omega_term [lemma, in hydras.Epsilon0.E0]
T1ltE [lemma, in gaia_hydras.T1Choice]
T1lt_iff [lemma, in gaia_hydras.T1Bridge]
T1max [definition, in gaia_hydras.T1Choice]
T1maxE [lemma, in gaia_hydras.T1Choice]
T1min [definition, in gaia_hydras.T1Choice]
T1minE [lemma, in gaia_hydras.T1Choice]
T1mixin [definition, in gaia_hydras.T1Choice]
T1mul [definition, in hydras.Epsilon0.T1]
T1mulE4 [lemma, in gaia_hydras.T1Bridge]
T1mulE5 [lemma, in gaia_hydras.T1Bridge]
T1mul_not_monotonous [lemma, in hydras.Epsilon0.T1]
T1mul_cons_cons_E [lemma, in gaia_hydras.T1Bridge]
T1mul_a0E [lemma, in gaia_hydras.T1Bridge]
T1nat [definition, in hydras.Epsilon0.T1]
T1nf_canon [lemma, in gaia_hydras.GCanon]
T1omega [abbreviation, in hydras.Epsilon0.T1]
T1orderType [definition, in gaia_hydras.T1Choice]
T1pp [definition, in gaia_hydras.T1Bridge]
T1toH [definition, in gaia_hydras.GHydra]
T1_wf [lemma, in hydras.Epsilon0.T1]
T1_eq_dec [definition, in hydras.Epsilon0.T1]
t1_strorder [instance, in hydras.Epsilon0.T1]
T1_le_Mixin [definition, in gaia_hydras.T1Choice]
T1_to_T2 [definition, in hydras.Gamma0.T2]
t1_0 [definition, in hydras.MoreAck.LNN_Examples]
T1_to_T2_monoR [lemma, in hydras.Gamma0.Gamma0]
T1_to_T2_mono [lemma, in hydras.Gamma0.Gamma0]
T1_to_T2_R [definition, in hydras.Gamma0.Gamma0]
T1_to_T2_lt [lemma, in hydras.Gamma0.Gamma0]
T1_to_T2_inj [lemma, in hydras.Gamma0.Gamma0]
t1_0 [definition, in hydras.MoreAck.FolExamples]
T1_ltNotWf [library]
T12Tree [definition, in gaia_hydras.T1Choice]
T12Tree_inj [lemma, in gaia_hydras.T1Choice]
t1:106 [binder, in hydras.rpo.rpo]
t1:113 [binder, in hydras.rpo.rpo]
t1:118 [binder, in hydras.Gamma0.Gamma0]
t1:121 [binder, in hydras.Gamma0.Gamma0]
t1:14 [binder, in hydras.rpo.term]
t1:14 [binder, in hydras.Ackermann.codeFreeVar]
t1:14 [binder, in hydras.rpo.list_set]
t1:144 [binder, in hydras.Ackermann.folProp]
t1:16 [binder, in hydras.Ackermann.codeFreeVar]
t1:197 [binder, in hydras.rpo.term]
t1:206 [binder, in hydras.Gamma0.Gamma0]
t1:208 [binder, in hydras.rpo.term]
t1:230 [binder, in hydras.rpo.term]
t1:236 [binder, in hydras.Gamma0.Gamma0]
t1:238 [binder, in hydras.rpo.term]
t1:240 [binder, in hydras.rpo.term]
t1:244 [binder, in hydras.rpo.term]
t1:252 [binder, in hydras.rpo.term]
t1:256 [binder, in hydras.rpo.term]
t1:27 [binder, in hydras.rpo.term]
t1:275 [binder, in hydras.Gamma0.Gamma0]
t1:31 [binder, in hydras.Epsilon0.Epsilon0rpo]
t1:36 [binder, in Goedel.PRrepresentable]
t1:40 [binder, in Goedel.PRrepresentable]
t1:445 [binder, in hydras.Epsilon0.Paths]
t1:49 [binder, in Goedel.codeSysPrf]
t1:53 [binder, in hydras.rpo.term]
t1:53 [binder, in Goedel.codeSysPrf]
t1:6 [binder, in hydras.rpo.list_permut]
t1:61 [binder, in hydras.rpo.term]
t1:63 [binder, in hydras.rpo.term]
t1:65 [binder, in Goedel.codeSysPrf]
t1:68 [binder, in hydras.rpo.term]
t1:684 [binder, in hydras.Gamma0.Gamma0]
t1:69 [binder, in Goedel.codeSysPrf]
t1:76 [binder, in hydras.rpo.term]
t1:81 [binder, in hydras.rpo.term]
t1:94 [binder, in hydras.Gamma0.Gamma0]
T2 [inductive, in hydras.Gamma0.T2]
T2 [abbreviation, in gaia_hydras.T2Bridge]
T2 [library]
T2Bridge [library]
t2_length_aux [definition, in hydras.Gamma0.T2]
t2_length [definition, in hydras.Gamma0.T2]
T2_size_psi [lemma, in hydras.Gamma0.Gamma0]
T2_size4 [lemma, in hydras.Gamma0.Gamma0]
T2_size3 [lemma, in hydras.Gamma0.Gamma0]
T2_size2 [lemma, in hydras.Gamma0.Gamma0]
T2_size1 [lemma, in hydras.Gamma0.Gamma0]
T2_size [definition, in hydras.Gamma0.Gamma0]
T2_2_term [definition, in hydras.Gamma0.Gamma0]
t2:108 [binder, in hydras.rpo.rpo]
t2:115 [binder, in hydras.rpo.rpo]
t2:119 [binder, in hydras.Gamma0.Gamma0]
t2:122 [binder, in hydras.Gamma0.Gamma0]
t2:145 [binder, in hydras.Ackermann.folProp]
t2:15 [binder, in hydras.rpo.term]
t2:15 [binder, in hydras.rpo.list_set]
t2:198 [binder, in hydras.rpo.term]
t2:207 [binder, in hydras.Gamma0.Gamma0]
t2:209 [binder, in hydras.rpo.term]
t2:229 [binder, in hydras.rpo.term]
t2:237 [binder, in hydras.Gamma0.Gamma0]
t2:239 [binder, in hydras.rpo.term]
t2:241 [binder, in hydras.rpo.term]
t2:243 [binder, in hydras.rpo.term]
t2:253 [binder, in hydras.rpo.term]
t2:257 [binder, in hydras.rpo.term]
t2:261 [binder, in hydras.rpo.term]
t2:263 [binder, in hydras.rpo.term]
t2:276 [binder, in hydras.Gamma0.Gamma0]
t2:28 [binder, in hydras.rpo.term]
t2:32 [binder, in hydras.Epsilon0.Epsilon0rpo]
t2:37 [binder, in Goedel.PRrepresentable]
t2:41 [binder, in Goedel.PRrepresentable]
t2:446 [binder, in hydras.Epsilon0.Paths]
t2:50 [binder, in Goedel.codeSysPrf]
t2:52 [binder, in hydras.rpo.term]
t2:54 [binder, in Goedel.codeSysPrf]
t2:62 [binder, in hydras.rpo.term]
t2:64 [binder, in hydras.rpo.term]
t2:66 [binder, in Goedel.codeSysPrf]
t2:67 [binder, in hydras.rpo.term]
t2:685 [binder, in hydras.Gamma0.Gamma0]
t2:7 [binder, in hydras.rpo.list_permut]
t2:70 [binder, in Goedel.codeSysPrf]
t2:77 [binder, in hydras.rpo.term]
t2:82 [binder, in hydras.rpo.term]
t2:95 [binder, in hydras.Gamma0.Gamma0]
t3:120 [binder, in hydras.Gamma0.Gamma0]
t3:123 [binder, in hydras.Gamma0.Gamma0]
t:1 [binder, in hydras.Schutte.Correctness_E0]
t:1 [binder, in hydras.Ackermann.LNN2LNT]
t:1 [binder, in hydras.Ackermann.PAtheory]
T:1 [binder, in gaia_hydras.GPrelude]
T:1 [binder, in hydras.Ackermann.wConsistent]
t:10 [binder, in hydras.MoreAck.BadSubst]
t:10 [binder, in hydras.Ackermann.folLogic2]
t:10 [binder, in hydras.Ackermann.LNN2LNT]
T:10 [binder, in hydras.Ackermann.folLogic]
t:100 [binder, in hydras.Ackermann.codeFreeVar]
t:100 [binder, in hydras.Ackermann.codeSubTerm]
T:100 [binder, in hydras.Ackermann.LNT]
t:100 [binder, in hydras.Ackermann.wellFormed]
t:100 [binder, in additions.Addition_Chains]
t:101 [binder, in hydras.Ackermann.LNN2LNT]
T:101 [binder, in hydras.Ackermann.LNN]
t:101 [binder, in hydras.Ackermann.subProp]
t:101 [binder, in hydras.Ackermann.wellFormed]
t:102 [binder, in hydras.Ackermann.codeFreeVar]
t:102 [binder, in hydras.Ackermann.codeSubTerm]
t:102 [binder, in hydras.Ackermann.wellFormed]
T:102 [binder, in hydras.Ackermann.folLogic]
t:102 [binder, in hydras.rpo.rpo]
t:103 [binder, in hydras.rpo.term]
t:103 [binder, in hydras.Ackermann.codeFreeVar]
T:103 [binder, in hydras.Ackermann.LNN]
T:103 [binder, in hydras.Ackermann.LNT]
t:104 [binder, in hydras.Ackermann.codeFreeVar]
t:104 [binder, in hydras.Ackermann.codeSubTerm]
t:104 [binder, in hydras.Ackermann.wellFormed]
T:104 [binder, in hydras.Ackermann.folLogic3]
T:104 [binder, in hydras.Ackermann.folReplace]
t:105 [binder, in hydras.Ackermann.codeFreeVar]
T:105 [binder, in hydras.Ackermann.folLogic]
t:106 [binder, in hydras.rpo.term]
t:106 [binder, in hydras.Ackermann.codeFreeVar]
t:106 [binder, in hydras.Ackermann.codeSubTerm]
T:106 [binder, in hydras.Ackermann.LNN]
T:106 [binder, in hydras.Ackermann.LNT]
t:106 [binder, in hydras.Ackermann.wellFormed]
t:106 [binder, in additions.Addition_Chains]
t:107 [binder, in hydras.Ackermann.codeFreeVar]
T:107 [binder, in hydras.Ackermann.folLogic]
t:108 [binder, in hydras.Ackermann.codeFreeVar]
t:108 [binder, in hydras.Ackermann.codeSubTerm]
t:108 [binder, in hydras.Ackermann.LNN2LNT]
t:108 [binder, in hydras.Ackermann.wellFormed]
t:108 [binder, in hydras.Hydra.Hydra_Definitions]
t:109 [binder, in hydras.Ackermann.codeFreeVar]
T:109 [binder, in hydras.Ackermann.LNN]
T:109 [binder, in hydras.Ackermann.LNT]
t:109 [binder, in hydras.Ackermann.subProp]
T:11 [binder, in hydras.Ackermann.folReplace]
t:110 [binder, in hydras.Ackermann.codeFreeVar]
t:110 [binder, in hydras.Ackermann.codeSubTerm]
t:110 [binder, in hydras.Ackermann.wellFormed]
T:111 [binder, in hydras.Ackermann.folLogic]
t:111 [binder, in hydras.Hydra.Hydra_Definitions]
t:112 [binder, in hydras.Ackermann.codeFreeVar]
t:112 [binder, in hydras.Ackermann.codeSubTerm]
T:112 [binder, in hydras.Ackermann.LNN]
T:112 [binder, in hydras.Ackermann.LNT]
t:112 [binder, in hydras.Ackermann.wellFormed]
T:112 [binder, in hydras.Ackermann.folReplace]
T:113 [binder, in hydras.Ackermann.subAll]
t:113 [binder, in hydras.Gamma0.Gamma0]
t:114 [binder, in hydras.Gamma0.T2]
t:114 [binder, in hydras.Ackermann.codeFreeVar]
t:114 [binder, in hydras.Ackermann.codeSubTerm]
t:114 [binder, in hydras.Ackermann.wellFormed]
T:114 [binder, in hydras.Ackermann.folLogic]
t:114 [binder, in additions.Addition_Chains]
t:115 [binder, in hydras.rpo.term]
T:115 [binder, in hydras.Ackermann.LNN]
T:115 [binder, in hydras.Ackermann.LNT]
t:115 [binder, in hydras.Ackermann.wellFormed]
t:116 [binder, in hydras.Ackermann.codeFreeVar]
t:116 [binder, in hydras.Ackermann.codeSubTerm]
t:116 [binder, in hydras.Ackermann.wellFormed]
t:116 [binder, in hydras.Epsilon0.Paths]
t:117 [binder, in hydras.rpo.term]
t:117 [binder, in hydras.Gamma0.T2]
t:117 [binder, in hydras.Ackermann.codeSubTerm]
T:117 [binder, in hydras.Ackermann.LNT]
t:117 [binder, in hydras.Ackermann.wellFormed]
T:117 [binder, in hydras.Ackermann.folLogic]
t:117 [binder, in hydras.rpo.rpo]
t:118 [binder, in hydras.Gamma0.T2]
t:118 [binder, in hydras.Ackermann.codeFreeVar]
t:118 [binder, in hydras.Ackermann.codeSubTerm]
T:118 [binder, in hydras.Ackermann.LNN]
t:118 [binder, in hydras.Ackermann.wellFormed]
t:119 [binder, in hydras.Ackermann.codeSubTerm]
t:119 [binder, in hydras.Ackermann.wellFormed]
T:119 [binder, in hydras.Ackermann.folLogic]
t:12 [binder, in hydras.Ackermann.codeSubTerm]
T:12 [binder, in hydras.Ackermann.LNT]
t:12 [binder, in hydras.Ackermann.wellFormed]
t:12 [binder, in additions.Addition_Chains]
t:12 [binder, in hydras.MoreAck.FolExamples]
t:120 [binder, in hydras.Ackermann.codeFreeVar]
t:120 [binder, in hydras.Ackermann.codeSubTerm]
T:120 [binder, in hydras.Ackermann.LNN]
t:120 [binder, in hydras.Ackermann.wellFormed]
t:120 [binder, in additions.Addition_Chains]
t:121 [binder, in hydras.Ackermann.codeSubTerm]
T:121 [binder, in hydras.Ackermann.LNT]
t:121 [binder, in hydras.Epsilon0.Paths]
t:122 [binder, in hydras.Ackermann.codeFreeVar]
t:122 [binder, in hydras.Ackermann.codeSubTerm]
t:122 [binder, in hydras.Ackermann.wellFormed]
T:122 [binder, in hydras.Ackermann.folLogic]
t:123 [binder, in hydras.Ackermann.codeFreeVar]
t:124 [binder, in hydras.rpo.term]
t:124 [binder, in hydras.Ackermann.codeFreeVar]
T:124 [binder, in hydras.Ackermann.LNN]
T:124 [binder, in hydras.Ackermann.LNT]
t:124 [binder, in hydras.Ackermann.wellFormed]
t:125 [binder, in hydras.Ackermann.codeFreeVar]
t:125 [binder, in hydras.Ackermann.codeSubTerm]
t:1257 [binder, in hydras.Ackermann.codeSubFormula]
t:126 [binder, in hydras.Ackermann.codeFreeVar]
t:126 [binder, in hydras.Ackermann.wellFormed]
T:126 [binder, in hydras.Ackermann.folLogic]
t:127 [binder, in hydras.Ackermann.codeFreeVar]
T:127 [binder, in hydras.Ackermann.LNN]
T:127 [binder, in hydras.Ackermann.LNT]
t:127 [binder, in additions.Addition_Chains]
t:127 [binder, in hydras.rpo.rpo]
t:128 [binder, in hydras.Ackermann.codeFreeVar]
t:128 [binder, in hydras.Ackermann.codeSubTerm]
t:128 [binder, in hydras.Ackermann.wellFormed]
t:129 [binder, in hydras.rpo.term]
t:129 [binder, in hydras.Ackermann.codeFreeVar]
T:129 [binder, in hydras.Ackermann.LNT]
t:129 [binder, in hydras.Epsilon0.Paths]
t:13 [binder, in hydras.Ackermann.subAll]
T:13 [binder, in hydras.Ackermann.folLogic]
T:13 [binder, in hydras.Ackermann.folLogic3]
T:130 [binder, in hydras.Ackermann.LNN]
t:130 [binder, in hydras.Ackermann.wellFormed]
t:131 [binder, in hydras.rpo.term]
t:131 [binder, in hydras.Ackermann.codeSubTerm]
T:132 [binder, in hydras.Ackermann.LNN]
T:132 [binder, in hydras.Ackermann.LNT]
t:132 [binder, in hydras.Ackermann.wellFormed]
t:134 [binder, in hydras.Ackermann.codeSubTerm]
t:134 [binder, in hydras.Ackermann.wellFormed]
t:134 [binder, in additions.Addition_Chains]
T:135 [binder, in hydras.Ackermann.LNN]
t:135 [binder, in hydras.Epsilon0.Paths]
t:136 [binder, in hydras.rpo.term]
T:136 [binder, in hydras.Ackermann.LNT]
t:136 [binder, in hydras.Ackermann.wellFormed]
t:137 [binder, in hydras.Ackermann.codeSubTerm]
T:138 [binder, in hydras.Ackermann.LNT]
T:138 [binder, in hydras.Ackermann.subProp]
t:138 [binder, in hydras.Ackermann.wellFormed]
t:138 [binder, in hydras.rpo.rpo]
T:139 [binder, in hydras.Ackermann.LNN]
T:14 [binder, in hydras.Ackermann.LNT]
T:14 [binder, in hydras.Ackermann.folProp]
t:14 [binder, in hydras.Ackermann.wellFormed]
T:14 [binder, in hydras.Ackermann.wConsistent]
t:140 [binder, in hydras.Ackermann.codeSubTerm]
t:140 [binder, in hydras.Ackermann.wellFormed]
t:141 [binder, in hydras.rpo.term]
T:141 [binder, in hydras.Ackermann.LNN]
T:141 [binder, in hydras.Ackermann.LNT]
t:141 [binder, in hydras.Epsilon0.Paths]
t:142 [binder, in hydras.Ackermann.wellFormed]
t:143 [binder, in hydras.Ackermann.codeSubTerm]
T:144 [binder, in hydras.Ackermann.LNN]
t:144 [binder, in hydras.Ackermann.wellFormed]
t:145 [binder, in hydras.rpo.term]
T:145 [binder, in hydras.Ackermann.LNT]
t:146 [binder, in hydras.Ackermann.codeSubTerm]
t:146 [binder, in hydras.Ackermann.wellFormed]
t:147 [binder, in additions.Euclidean_Chains]
t:147 [binder, in hydras.Epsilon0.Paths]
t:148 [binder, in hydras.Ackermann.codeSubTerm]
T:148 [binder, in hydras.Ackermann.LNN]
t:148 [binder, in hydras.Ackermann.wellFormed]
t:149 [binder, in hydras.rpo.term]
t:15 [binder, in hydras.Ackermann.codeSubTerm]
T:15 [binder, in hydras.Ackermann.LNN]
t:15 [binder, in additions.Trace_exercise]
t:15 [binder, in hydras.rpo.list_permut]
t:150 [binder, in hydras.Ackermann.codeSubTerm]
T:150 [binder, in hydras.Ackermann.LNT]
t:150 [binder, in hydras.Ackermann.wellFormed]
t:151 [binder, in hydras.Hydra.Hydra_Lemmas]
t:152 [binder, in hydras.Ackermann.codeSubTerm]
t:152 [binder, in hydras.Ackermann.wellFormed]
t:152 [binder, in hydras.rpo.rpo]
T:153 [binder, in hydras.Ackermann.LNN]
t:153 [binder, in hydras.Ackermann.wellFormed]
t:154 [binder, in hydras.Ackermann.codeSubTerm]
t:154 [binder, in hydras.Ackermann.wellFormed]
t:154 [binder, in hydras.Hydra.Hydra_Lemmas]
t:154 [binder, in hydras.rpo.rpo]
T:155 [binder, in hydras.Ackermann.LNT]
t:155 [binder, in hydras.Ackermann.wellFormed]
t:156 [binder, in hydras.Ackermann.codeSubTerm]
t:156 [binder, in hydras.Ackermann.wellFormed]
t:156 [binder, in hydras.rpo.rpo]
T:157 [binder, in hydras.Ackermann.subProp]
t:157 [binder, in hydras.Ackermann.wellFormed]
t:158 [binder, in hydras.Ackermann.codeSubTerm]
T:158 [binder, in hydras.Ackermann.LNN]
t:158 [binder, in hydras.Ackermann.wellFormed]
t:159 [binder, in hydras.Epsilon0.Large_Sets]
t:159 [binder, in hydras.Ackermann.wellFormed]
T:16 [binder, in hydras.Ackermann.folLogic]
t:16 [binder, in hydras.rpo.list_permut]
T:16 [binder, in hydras.Ackermann.folReplace]
t:160 [binder, in hydras.Ackermann.codeSubTerm]
t:160 [binder, in hydras.Ackermann.wellFormed]
T:161 [binder, in hydras.Ackermann.LNN]
T:161 [binder, in hydras.Ackermann.subProp]
t:162 [binder, in hydras.Ackermann.codeSubTerm]
t:162 [binder, in hydras.Ackermann.wellFormed]
t:164 [binder, in hydras.Ackermann.codeSubTerm]
t:164 [binder, in hydras.Ackermann.wellFormed]
t:164 [binder, in additions.Addition_Chains]
t:166 [binder, in hydras.Ackermann.codeSubTerm]
T:166 [binder, in hydras.Ackermann.subProp]
t:166 [binder, in hydras.Ackermann.wellFormed]
t:168 [binder, in hydras.Ackermann.codeSubTerm]
t:168 [binder, in hydras.Ackermann.wellFormed]
t:17 [binder, in hydras.rpo.term]
t:17 [binder, in hydras.Ackermann.LNN2LNT]
T:17 [binder, in hydras.Ackermann.LNN]
T:17 [binder, in hydras.Ackermann.LNT]
t:170 [binder, in hydras.Ackermann.codeSubTerm]
t:170 [binder, in hydras.Ackermann.folProp]
t:170 [binder, in hydras.Ackermann.wellFormed]
t:171 [binder, in additions.Addition_Chains]
t:172 [binder, in hydras.Ackermann.codeSubTerm]
t:172 [binder, in hydras.Ackermann.wellFormed]
t:173 [binder, in hydras.Ackermann.wellFormed]
t:173 [binder, in hydras.rpo.rpo]
t:174 [binder, in hydras.rpo.term]
t:174 [binder, in hydras.Ackermann.codeSubTerm]
t:174 [binder, in hydras.Ackermann.wellFormed]
t:175 [binder, in hydras.Ackermann.wellFormed]
t:176 [binder, in hydras.Ackermann.codeSubTerm]
t:176 [binder, in hydras.Ackermann.wellFormed]
t:177 [binder, in hydras.Ackermann.subAll]
t:177 [binder, in hydras.Ackermann.wellFormed]
t:177 [binder, in additions.Addition_Chains]
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t:801 [binder, in hydras.Ackermann.codeSubFormula]
t:802 [binder, in hydras.Ackermann.codeSubFormula]
t:803 [binder, in hydras.Ackermann.codeSubFormula]
t:804 [binder, in hydras.Ackermann.codeSubFormula]
t:805 [binder, in hydras.Ackermann.codeSubFormula]
t:806 [binder, in hydras.Ackermann.codeSubFormula]
t:807 [binder, in hydras.Ackermann.codeSubFormula]
t:809 [binder, in hydras.Ackermann.codeSubFormula]
T:81 [binder, in hydras.Ackermann.folLogic]
T:81 [binder, in hydras.Ackermann.folReplace]
t:811 [binder, in hydras.Ackermann.codeSubFormula]
t:811 [binder, in gaia_hydras.nfwfgaia]
t:813 [binder, in hydras.Ackermann.codeSubFormula]
t:815 [binder, in hydras.Ackermann.codeSubFormula]
t:817 [binder, in hydras.Ackermann.codeSubFormula]
t:82 [binder, in hydras.Ackermann.codeFreeVar]
t:82 [binder, in hydras.Ackermann.LNN]
t:82 [binder, in hydras.Ackermann.wellFormed]
t:83 [binder, in hydras.rpo.more_list]
T:83 [binder, in hydras.Ackermann.LNN]
T:83 [binder, in hydras.Ackermann.LNT]
t:83 [binder, in hydras.Ackermann.codeSubFormula]
t:830 [binder, in hydras.Ackermann.codeSubFormula]
t:833 [binder, in hydras.Ackermann.codeSubFormula]
t:84 [binder, in hydras.rpo.term]
t:84 [binder, in hydras.Ackermann.codeFreeVar]
t:84 [binder, in hydras.Ackermann.codeSubTerm]
t:84 [binder, in hydras.Ackermann.wellFormed]
T:84 [binder, in hydras.Ackermann.folLogic]
t:84 [binder, in hydras.rpo.rpo]
t:85 [binder, in additions.Addition_Chains]
t:858 [binder, in hydras.Ackermann.codeSubFormula]
t:86 [binder, in hydras.Ackermann.codeFreeVar]
T:86 [binder, in hydras.Ackermann.LNN]
t:86 [binder, in hydras.Ackermann.LNT]
t:86 [binder, in hydras.Ackermann.wellFormed]
T:86 [binder, in hydras.Ackermann.folReplace]
T:87 [binder, in hydras.Ackermann.LNT]
t:87 [binder, in hydras.Ackermann.folLogic3]
t:88 [binder, in hydras.Ackermann.codeFreeVar]
t:88 [binder, in hydras.Ackermann.codeSubTerm]
t:88 [binder, in hydras.Ackermann.wellFormed]
T:88 [binder, in hydras.Ackermann.folLogic]
t:88 [binder, in hydras.Gamma0.Gamma0]
t:89 [binder, in hydras.Ackermann.LNN]
t:89 [binder, in hydras.Ackermann.codeSubFormula]
T:89 [binder, in hydras.Ackermann.folLogic3]
t:89 [binder, in additions.Addition_Chains]
t:897 [binder, in hydras.Ackermann.codeSubFormula]
t:9 [binder, in hydras.Ackermann.codeFreeVar]
t:9 [binder, in hydras.Ackermann.codeSubTerm]
T:9 [binder, in hydras.Ackermann.wConsistent]
t:9 [binder, in hydras.rpo.rpo]
t:90 [binder, in hydras.Ackermann.codeFreeVar]
T:90 [binder, in hydras.Ackermann.LNN]
t:90 [binder, in hydras.Ackermann.wellFormed]
T:90 [binder, in hydras.Ackermann.folLogic]
t:90 [binder, in hydras.Gamma0.Gamma0]
t:91 [binder, in hydras.rpo.term]
t:91 [binder, in hydras.Hydra.O2H]
T:91 [binder, in hydras.Ackermann.LNT]
t:91 [binder, in hydras.rpo.rpo]
t:92 [binder, in hydras.Ackermann.codeFreeVar]
t:92 [binder, in hydras.Ackermann.codeSubTerm]
t:92 [binder, in hydras.rpo.more_list]
t:92 [binder, in hydras.Ackermann.wellFormed]
t:92 [binder, in hydras.Gamma0.Gamma0]
t:93 [binder, in hydras.Ackermann.wellFormed]
T:93 [binder, in hydras.Ackermann.folLogic]
T:93 [binder, in hydras.Ackermann.folReplace]
t:94 [binder, in hydras.Ackermann.codeFreeVar]
t:94 [binder, in hydras.Ackermann.codeSubTerm]
T:94 [binder, in hydras.Ackermann.LNN]
T:94 [binder, in hydras.Ackermann.LNT]
t:94 [binder, in hydras.Ackermann.subProp]
t:94 [binder, in hydras.Ackermann.wellFormed]
t:94 [binder, in additions.Addition_Chains]
T:94 [binder, in hydras.Ackermann.folReplace]
t:94 [binder, in hydras.MoreAck.PrimRecExamples]
t:94 [binder, in hydras.rpo.rpo]
t:95 [binder, in hydras.rpo.term]
t:95 [binder, in hydras.Ackermann.wellFormed]
t:96 [binder, in hydras.Ackermann.subAll]
t:96 [binder, in hydras.Ackermann.codeFreeVar]
t:96 [binder, in hydras.Ackermann.codeSubTerm]
t:96 [binder, in hydras.Ackermann.wellFormed]
T:96 [binder, in hydras.Ackermann.folLogic]
T:97 [binder, in hydras.Ackermann.LNN]
t:97 [binder, in hydras.Ackermann.wellFormed]
t:98 [binder, in hydras.Ackermann.codeFreeVar]
t:98 [binder, in hydras.Ackermann.codeSubTerm]
T:98 [binder, in hydras.Ackermann.LNT]
t:98 [binder, in hydras.Ackermann.wellFormed]
t:98 [binder, in hydras.rpo.rpo]
t:99 [binder, in hydras.Ackermann.wellFormed]
T:99 [binder, in hydras.Ackermann.folLogic]
T:99 [binder, in hydras.Ackermann.folLogic3]
T:99 [binder, in hydras.Ackermann.folReplace]
t:99 [binder, in hydras.MoreAck.PrimRecExamples]

U

U [projection, in hydras.Ackermann.model]
ui:187 [binder, in hydras.rpo.term]
ui:325 [binder, in hydras.rpo.rpo]
ui:328 [binder, in hydras.rpo.rpo]
ui:369 [binder, in hydras.rpo.term]
unbounded [lemma, in hydras.Schutte.Schutte_basics]
Unbounded [definition, in hydras.Schutte.Schutte_basics]
Unbounded_Cr [lemma, in hydras.Schutte.Critical]
Unbounded_not_countable [lemma, in hydras.Schutte.Schutte_basics]
Unbounded_ge [lemma, in hydras.Schutte.Addition]
undecidable [abbreviation, in hydras.Ackermann.folProof]
unique_decomposition [lemma, in hydras.Epsilon0.T1]
unique_decomposition [lemma, in hydras.OrdinalNotations.ON_Omega2]
Unnamed_thm9 [definition, in gaia_hydras.T1Choice]
Unnamed_thm8 [definition, in gaia_hydras.T1Choice]
Unnamed_thm7 [definition, in gaia_hydras.T1Choice]
Unnamed_thm6 [definition, in gaia_hydras.T1Choice]
Unnamed_thm5 [definition, in gaia_hydras.T1Choice]
Unnamed_thm5 [definition, in gaia_hydras.T1Choice]
Unnamed_thm4 [definition, in gaia_hydras.T1Choice]
Unnamed_thm3 [definition, in gaia_hydras.T1Choice]
Unnamed_thm2 [definition, in gaia_hydras.T1Choice]
Unnamed_thm1 [definition, in gaia_hydras.T1Choice]
Unnamed_thm0 [definition, in gaia_hydras.T1Choice]
Unnamed_thm [definition, in gaia_hydras.T1Choice]
Unnamed_thm [definition, in hydras.Prelude.More_Arith]
Unnamed_thm [definition, in hydras.MoreAck.expressibleExamples]
Unnamed_thm0 [definition, in hydras.MoreAck.LNN_Examples]
Unnamed_thm [definition, in hydras.MoreAck.LNN_Examples]
Unnamed_thm [definition, in additions.Monoid_def]
Unnamed_thm0 [definition, in hydras.Ackermann.fol]
Unnamed_thm [definition, in hydras.Ackermann.fol]
Unnamed_thm [definition, in hydras.Epsilon0.Canon]
Unnamed_thm [definition, in hydras.OrdinalNotations.ON_Finite]
Unnamed_thm1 [definition, in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm0 [definition, in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm [definition, in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm1 [definition, in hydras.solutions_exercises.F_3]
Unnamed_thm0 [definition, in hydras.solutions_exercises.F_3]
Unnamed_thm [definition, in hydras.solutions_exercises.F_3]
Unnamed_thm [definition, in additions.Addition_Chains]
Unnamed_thm [definition, in hydras.Epsilon0.Hprime]
Unnamed_thm [definition, in hydras.MoreAck.FolExamples]
Unnamed_thm [definition, in hydras.MoreAck.FolExamples]
Unnamed_thm2 [definition, in hydras.MoreAck.PrimRecExamples]
Unnamed_thm1 [definition, in hydras.MoreAck.PrimRecExamples]
Unnamed_thm0 [definition, in hydras.MoreAck.PrimRecExamples]
Unnamed_thm [definition, in hydras.MoreAck.PrimRecExamples]
unshift [definition, in hydras.Prelude.MoreLists]
unshift_pred [lemma, in hydras.Prelude.MoreLists]
unshift_shift [lemma, in hydras.Prelude.MoreLists]
unshift_interval_pred [lemma, in hydras.Prelude.MoreLists]
unshift_interval [lemma, in hydras.Prelude.MoreLists]
unshift_iota_from [lemma, in hydras.Prelude.MoreLists]
unshift_not_nil [lemma, in hydras.Prelude.MoreLists]
unshift_app [lemma, in hydras.Prelude.MoreLists]
unshift_but_last [lemma, in hydras.Prelude.MoreLists]
updateValue [definition, in hydras.Ackermann.model]
upper_bound [definition, in hydras.Schutte.Lub]
Usual [module, in Goedel.PRrepresentable]
Usual.beta [definition, in Goedel.PRrepresentable]
Usual.β [abbreviation, in Goedel.PRrepresentable]
u':693 [binder, in gaia_hydras.nfwfgaia]
u1:107 [binder, in hydras.rpo.rpo]
u1:114 [binder, in hydras.rpo.rpo]
u1:121 [binder, in hydras.rpo.rpo]
u1:89 [binder, in hydras.rpo.list_permut]
u1:97 [binder, in hydras.rpo.list_permut]
u2:109 [binder, in hydras.rpo.rpo]
u2:116 [binder, in hydras.rpo.rpo]
u2:122 [binder, in hydras.rpo.rpo]
u2:90 [binder, in hydras.rpo.list_permut]
u2:98 [binder, in hydras.rpo.list_permut]
u3:91 [binder, in hydras.rpo.list_permut]
u3:99 [binder, in hydras.rpo.list_permut]
u4:100 [binder, in hydras.rpo.list_permut]
u4:92 [binder, in hydras.rpo.list_permut]
u:1202 [binder, in gaia_hydras.nfwfgaia]
u:1213 [binder, in gaia_hydras.nfwfgaia]
u:123 [binder, in hydras.rpo.rpo]
u:1238 [binder, in gaia_hydras.nfwfgaia]
u:1242 [binder, in gaia_hydras.nfwfgaia]
u:1245 [binder, in gaia_hydras.nfwfgaia]
u:1265 [binder, in gaia_hydras.nfwfgaia]
u:1281 [binder, in gaia_hydras.nfwfgaia]
u:130 [binder, in hydras.Epsilon0.Paths]
U:136 [binder, in hydras.Ackermann.LNN2LNT]
u:136 [binder, in hydras.Epsilon0.Paths]
u:137 [binder, in hydras.Epsilon0.Paths]
u:143 [binder, in hydras.Schutte.Schutte_basics]
u:143 [binder, in hydras.Epsilon0.Paths]
u:147 [binder, in hydras.rpo.term]
U:15 [binder, in hydras.Ackermann.LNT]
u:150 [binder, in hydras.rpo.term]
u:150 [binder, in hydras.Epsilon0.Paths]
u:1512 [binder, in gaia_hydras.nfwfgaia]
u:1515 [binder, in gaia_hydras.nfwfgaia]
u:1518 [binder, in gaia_hydras.nfwfgaia]
u:155 [binder, in hydras.Epsilon0.Paths]
u:161 [binder, in hydras.Schutte.Ordering_Functions]
u:162 [binder, in hydras.rpo.term]
u:170 [binder, in hydras.rpo.term]
u:175 [binder, in hydras.rpo.term]
u:1788 [binder, in gaia_hydras.nfwfgaia]
U:18 [binder, in hydras.Ackermann.LNN]
u:180 [binder, in hydras.rpo.term]
u:183 [binder, in hydras.rpo.rpo]
u:189 [binder, in hydras.rpo.term]
u:196 [binder, in hydras.rpo.rpo]
u:2041 [binder, in gaia_hydras.nfwfgaia]
u:2052 [binder, in gaia_hydras.nfwfgaia]
u:2080 [binder, in gaia_hydras.nfwfgaia]
u:2085 [binder, in gaia_hydras.nfwfgaia]
U:24 [binder, in hydras.Prelude.DecPreOrder_Instances]
U:25 [binder, in hydras.Prelude.DecPreOrder_Instances]
u:273 [binder, in hydras.rpo.term]
u:276 [binder, in hydras.rpo.term]
u:326 [binder, in hydras.rpo.term]
u:328 [binder, in hydras.rpo.term]
U:34 [binder, in hydras.Schutte.Countable]
u:340 [binder, in hydras.rpo.term]
u:348 [binder, in hydras.rpo.term]
u:354 [binder, in hydras.rpo.term]
u:358 [binder, in hydras.rpo.term]
u:371 [binder, in hydras.rpo.term]
u:390 [binder, in gaia_hydras.nfwfgaia]
u:413 [binder, in gaia_hydras.nfwfgaia]
U:48 [binder, in hydras.Schutte.Schutte_basics]
U:5 [binder, in hydras.Ackermann.folLogic]
U:62 [binder, in hydras.Schutte.AP]
U:67 [binder, in hydras.Schutte.PartialFun]
u:679 [binder, in gaia_hydras.nfwfgaia]
u:686 [binder, in gaia_hydras.nfwfgaia]
u:688 [binder, in gaia_hydras.nfwfgaia]
U:69 [binder, in hydras.Schutte.PartialFun]
u:691 [binder, in gaia_hydras.nfwfgaia]
u:701 [binder, in gaia_hydras.nfwfgaia]
u:711 [binder, in gaia_hydras.nfwfgaia]
u:719 [binder, in gaia_hydras.nfwfgaia]
u:745 [binder, in gaia_hydras.nfwfgaia]
u:77 [binder, in hydras.rpo.rpo]
u:799 [binder, in gaia_hydras.nfwfgaia]
U:80 [binder, in hydras.Schutte.PartialFun]
u:81 [binder, in hydras.rpo.rpo]
u:810 [binder, in gaia_hydras.nfwfgaia]
u:814 [binder, in gaia_hydras.nfwfgaia]
U:86 [binder, in hydras.Schutte.PartialFun]
u:93 [binder, in hydras.rpo.term]
u:97 [binder, in hydras.rpo.term]
u:996 [binder, in gaia_hydras.nfwfgaia]

V

value:103 [binder, in hydras.Ackermann.model]
value:107 [binder, in hydras.Ackermann.model]
value:111 [binder, in hydras.Ackermann.model]
value:115 [binder, in hydras.Ackermann.model]
value:127 [binder, in hydras.Ackermann.model]
value:131 [binder, in hydras.Ackermann.model]
value:135 [binder, in hydras.Ackermann.model]
value:139 [binder, in hydras.Ackermann.model]
value:142 [binder, in hydras.Ackermann.model]
value:146 [binder, in hydras.Ackermann.model]
value:159 [binder, in hydras.Ackermann.model]
value:165 [binder, in hydras.Ackermann.model]
value:17 [binder, in hydras.Ackermann.model]
value:21 [binder, in hydras.Ackermann.model]
value:222 [binder, in hydras.Ackermann.model]
value:32 [binder, in hydras.Ackermann.model]
value:39 [binder, in hydras.Ackermann.model]
value:43 [binder, in hydras.Ackermann.model]
value:70 [binder, in hydras.Ackermann.model]
value:80 [binder, in hydras.Ackermann.model]
value:86 [binder, in hydras.Ackermann.model]
var [instance, in hydras.Hydra.Hydra_Termination]
var [constructor, in hydras.Ackermann.fol]
varFormula [definition, in hydras.Ackermann.codeSubFormula]
Variables [module, in hydras.rpo.term]
Variables.eq_variable_dec [axiom, in hydras.rpo.term]
Variables.var [axiom, in hydras.rpo.term]
Variants [section, in hydras.Prelude.WfVariant]
Variants.E [variable, in hydras.Prelude.WfVariant]
Variants.lt [variable, in hydras.Prelude.WfVariant]
Variants.m [variable, in hydras.Prelude.WfVariant]
Variants.T [variable, in hydras.Prelude.WfVariant]
Variants.tr [variable, in hydras.Prelude.WfVariant]
_ < _ [notation, in hydras.Prelude.WfVariant]
Variant_termination [lemma, in hydras.Prelude.WfVariant]
Variant_lt_standard [lemma, in hydras.Hydra.Hydra_Theorems]
Variant_LT_standard [lemma, in hydras.Hydra.Hydra_Theorems]
Variant_lt_free [lemma, in hydras.Hydra.Hydra_Theorems]
Variant_LT_free_0 [lemma, in hydras.Hydra.Hydra_Theorems]
variant_mono_free [lemma, in hydras.Hydra.Hydra_Lemmas]
variant_decr [projection, in hydras.Hydra.Hydra_Definitions]
Vars [module, in hydras.Gamma0.Gamma0]
Vars.empty_set [inductive, in hydras.Gamma0.Gamma0]
Vars.eq_variable_dec [lemma, in hydras.Gamma0.Gamma0]
Vars.var [definition, in hydras.Gamma0.Gamma0]
Var:11 [binder, in hydras.Prelude.WfVariant]
Var:159 [binder, in hydras.Hydra.Hydra_Definitions]
Var:27 [binder, in gaia_hydras.GHydra]
Var:3 [binder, in hydras.Hydra.Epsilon0_Needed_Std]
Var:31 [binder, in gaia_hydras.GHydra]
Var:34 [binder, in gaia_hydras.GHydra]
Var:4 [binder, in hydras.Hydra.Epsilon0_Needed_Free]
Var:5 [binder, in hydras.Hydra.Epsilon0_Needed_Generic]
vector_nth [definition, in hydras.Prelude.MoreVectors]
vector_triple_rect [definition, in hydras.Prelude.MoreVectors]
vector_double_rect [definition, in hydras.Prelude.MoreVectors]
vect_from_fun [definition, in hydras.Prelude.MoreVectors]
Vec2_proj [definition, in hydras.Prelude.MoreVectors]
vfourth [abbreviation, in hydras.Prelude.MoreVectors]
vfst [abbreviation, in hydras.Prelude.MoreVectors]
Vid [definition, in hydras.Prelude.MoreVectors]
Vid_eq [lemma, in hydras.Prelude.MoreVectors]
vsnd [abbreviation, in hydras.Prelude.MoreVectors]
vs:103 [binder, in Goedel.PRrepresentable]
vs:108 [binder, in Goedel.PRrepresentable]
vs:114 [binder, in Goedel.PRrepresentable]
vthird [abbreviation, in hydras.Prelude.MoreVectors]
v':694 [binder, in gaia_hydras.nfwfgaia]
v0:107 [binder, in hydras.Ackermann.codeSubFormula]
v0:1286 [binder, in hydras.Ackermann.codeSubFormula]
v0:1290 [binder, in hydras.Ackermann.codeSubFormula]
v0:20 [binder, in hydras.Ackermann.codeSubTerm]
v0:24 [binder, in hydras.Ackermann.codeSubTerm]
v0:42 [binder, in hydras.Ackermann.codeSubTerm]
v0:46 [binder, in hydras.Ackermann.codeSubTerm]
v1:102 [binder, in hydras.Ackermann.subProp]
v1:11 [binder, in hydras.Epsilon0.Epsilon0rpo]
v1:11 [binder, in hydras.Ackermann.folLogic2]
v1:110 [binder, in hydras.Ackermann.subProp]
v1:121 [binder, in hydras.Ackermann.subAll]
v1:122 [binder, in hydras.Ackermann.subAll]
v1:124 [binder, in hydras.Ackermann.subProp]
v1:129 [binder, in hydras.Ackermann.subAll]
v1:129 [binder, in hydras.Ackermann.subProp]
v1:130 [binder, in hydras.Ackermann.subAll]
v1:131 [binder, in hydras.Ackermann.subAll]
v1:132 [binder, in hydras.Ackermann.subAll]
v1:133 [binder, in hydras.Ackermann.subAll]
v1:134 [binder, in hydras.Ackermann.subAll]
v1:135 [binder, in hydras.Ackermann.subAll]
v1:136 [binder, in hydras.Ackermann.subAll]
v1:137 [binder, in hydras.Ackermann.subAll]
v1:138 [binder, in hydras.Ackermann.subAll]
v1:139 [binder, in hydras.Ackermann.subAll]
v1:140 [binder, in hydras.Ackermann.subAll]
v1:141 [binder, in hydras.Ackermann.subAll]
v1:141 [binder, in hydras.Ackermann.subProp]
v1:142 [binder, in hydras.Ackermann.subAll]
v1:143 [binder, in hydras.Ackermann.subAll]
v1:144 [binder, in hydras.Ackermann.subAll]
v1:144 [binder, in hydras.Ackermann.subProp]
v1:145 [binder, in hydras.Ackermann.subAll]
v1:146 [binder, in hydras.Ackermann.subAll]
v1:147 [binder, in hydras.Ackermann.subAll]
v1:148 [binder, in hydras.Ackermann.subAll]
v1:148 [binder, in hydras.Ackermann.subProp]
v1:149 [binder, in hydras.Ackermann.subAll]
v1:150 [binder, in hydras.Ackermann.subAll]
v1:151 [binder, in hydras.Ackermann.subAll]
v1:152 [binder, in hydras.Ackermann.subAll]
v1:152 [binder, in hydras.Ackermann.subProp]
v1:153 [binder, in hydras.Ackermann.subAll]
v1:154 [binder, in hydras.Ackermann.subAll]
v1:155 [binder, in hydras.Ackermann.subAll]
v1:157 [binder, in hydras.Ackermann.subAll]
v1:159 [binder, in hydras.Ackermann.subAll]
v1:161 [binder, in hydras.Ackermann.subAll]
v1:162 [binder, in hydras.Ackermann.subProp]
v1:163 [binder, in hydras.Ackermann.subAll]
v1:164 [binder, in hydras.Ackermann.subAll]
v1:165 [binder, in hydras.Ackermann.subAll]
v1:166 [binder, in hydras.Ackermann.subAll]
v1:167 [binder, in hydras.Ackermann.subProp]
v1:169 [binder, in hydras.Ackermann.subAll]
v1:171 [binder, in hydras.Ackermann.subAll]
v1:173 [binder, in hydras.Ackermann.subAll]
v1:175 [binder, in hydras.Ackermann.subAll]
v1:20 [binder, in hydras.Prelude.MoreVectors]
v1:21 [binder, in hydras.Ackermann.folLogic2]
v1:228 [binder, in hydras.rpo.term]
v1:242 [binder, in hydras.rpo.term]
v1:25 [binder, in hydras.Prelude.MoreVectors]
v1:252 [binder, in hydras.Gamma0.Gamma0]
v1:26 [binder, in hydras.Ackermann.folLogic2]
v1:31 [binder, in hydras.Prelude.MoreVectors]
v1:38 [binder, in hydras.Prelude.MoreVectors]
v1:48 [binder, in hydras.Ackermann.model]
v1:51 [binder, in hydras.rpo.term]
v1:60 [binder, in hydras.Ackermann.model]
v1:66 [binder, in hydras.rpo.term]
v1:66 [binder, in hydras.Ackermann.model]
v1:9 [binder, in hydras.rpo.term]
v2:10 [binder, in hydras.rpo.term]
v2:103 [binder, in hydras.Ackermann.subProp]
v2:111 [binder, in hydras.Ackermann.subProp]
v2:12 [binder, in hydras.Epsilon0.Epsilon0rpo]
v2:12 [binder, in hydras.Ackermann.folLogic2]
v2:125 [binder, in hydras.Ackermann.subProp]
v2:130 [binder, in hydras.Ackermann.subProp]
v2:142 [binder, in hydras.Ackermann.subProp]
v2:145 [binder, in hydras.Ackermann.subProp]
v2:149 [binder, in hydras.Ackermann.subProp]
v2:153 [binder, in hydras.Ackermann.subProp]
v2:163 [binder, in hydras.Ackermann.subProp]
v2:168 [binder, in hydras.Ackermann.subProp]
v2:21 [binder, in hydras.Prelude.MoreVectors]
v2:22 [binder, in hydras.Ackermann.folLogic2]
v2:231 [binder, in hydras.rpo.term]
v2:245 [binder, in hydras.rpo.term]
v2:253 [binder, in hydras.Gamma0.Gamma0]
v2:26 [binder, in hydras.Prelude.MoreVectors]
v2:27 [binder, in hydras.Ackermann.folLogic2]
v2:32 [binder, in hydras.Prelude.MoreVectors]
v2:39 [binder, in hydras.Prelude.MoreVectors]
v2:49 [binder, in hydras.Ackermann.model]
v2:54 [binder, in hydras.rpo.term]
v2:61 [binder, in hydras.Ackermann.model]
v2:67 [binder, in hydras.Ackermann.model]
v2:69 [binder, in hydras.rpo.term]
v3:33 [binder, in hydras.Prelude.MoreVectors]
v3:40 [binder, in hydras.Prelude.MoreVectors]
v:1 [binder, in hydras.Ackermann.NN]
v:10 [binder, in hydras.Prelude.MoreVectors]
v:100 [binder, in hydras.Ackermann.LNN]
v:100 [binder, in hydras.Ackermann.folReplace]
v:100 [binder, in hydras.Prelude.MoreVectors]
v:101 [binder, in hydras.Ackermann.folLogic]
v:101 [binder, in hydras.Ackermann.folLogic3]
v:102 [binder, in hydras.Ackermann.LNN2LNT]
V:103 [binder, in hydras.Hydra.Hydra_Lemmas]
v:104 [binder, in hydras.Ackermann.model]
v:104 [binder, in hydras.Ackermann.folLogic]
v:104 [binder, in hydras.Prelude.MoreVectors]
v:105 [binder, in hydras.Ackermann.folReplace]
v:107 [binder, in hydras.Prelude.MoreVectors]
v:108 [binder, in hydras.Ackermann.model]
v:11 [binder, in hydras.Ackermann.codeSubTerm]
v:11 [binder, in Goedel.fixPoint]
v:11 [binder, in hydras.Ackermann.wConsistent]
v:110 [binder, in hydras.Ackermann.subAll]
v:111 [binder, in hydras.Ackermann.LNT]
v:111 [binder, in Goedel.rosserPA]
v:112 [binder, in hydras.Ackermann.model]
v:113 [binder, in Goedel.rosserPA]
V:113 [binder, in hydras.Hydra.Hydra_Lemmas]
v:113 [binder, in hydras.Ackermann.folReplace]
v:114 [binder, in hydras.Ackermann.LNN]
v:114 [binder, in hydras.Ackermann.LNT]
v:115 [binder, in hydras.Ackermann.LNN2LNT]
v:116 [binder, in hydras.rpo.term]
v:116 [binder, in hydras.Ackermann.subAll]
v:116 [binder, in hydras.Ackermann.model]
v:117 [binder, in hydras.Ackermann.LNN]
v:117 [binder, in hydras.Ackermann.codeSubFormula]
v:118 [binder, in hydras.rpo.term]
v:12 [binder, in Goedel.rosserPA]
v:120 [binder, in hydras.Ackermann.subProp]
v:120 [binder, in hydras.Ackermann.codeSubFormula]
v:1203 [binder, in gaia_hydras.nfwfgaia]
v:122 [binder, in additions.fib]
v:123 [binder, in hydras.Ackermann.codeSubTerm]
v:123 [binder, in hydras.Ackermann.LNN2LNT]
v:123 [binder, in hydras.Ackermann.folProp]
v:123 [binder, in hydras.Ackermann.codeSubFormula]
v:1236 [binder, in hydras.Ackermann.codeSubFormula]
v:1239 [binder, in gaia_hydras.nfwfgaia]
v:1243 [binder, in gaia_hydras.nfwfgaia]
v:1246 [binder, in gaia_hydras.nfwfgaia]
v:1258 [binder, in hydras.Ackermann.codeSubFormula]
v:126 [binder, in hydras.Gamma0.T2]
v:126 [binder, in hydras.Ackermann.codeSubTerm]
v:1266 [binder, in hydras.Ackermann.codeSubFormula]
v:1266 [binder, in gaia_hydras.nfwfgaia]
v:127 [binder, in hydras.rpo.term]
v:128 [binder, in hydras.Ackermann.model]
v:1282 [binder, in gaia_hydras.nfwfgaia]
v:129 [binder, in hydras.Ackermann.codeSubTerm]
v:1291 [binder, in hydras.Ackermann.codeSubFormula]
v:1294 [binder, in hydras.Ackermann.codeSubFormula]
v:13 [binder, in hydras.MoreAck.AckNotPR]
v:13 [binder, in hydras.Ackermann.subProp]
v:13 [binder, in hydras.Prelude.MoreVectors]
v:130 [binder, in hydras.Gamma0.T2]
v:131 [binder, in hydras.Ackermann.LNN2LNT]
v:132 [binder, in hydras.Ackermann.codeSubTerm]
v:132 [binder, in hydras.Ackermann.model]
v:132 [binder, in hydras.Ackermann.codeSubFormula]
v:134 [binder, in hydras.Gamma0.T2]
v:134 [binder, in hydras.Ackermann.folProp]
v:135 [binder, in hydras.Ackermann.codeSubTerm]
v:135 [binder, in hydras.Ackermann.subProp]
v:136 [binder, in Goedel.PRrepresentable]
v:136 [binder, in hydras.Ackermann.model]
v:1367 [binder, in hydras.Ackermann.codeSubFormula]
V:137 [binder, in hydras.Ackermann.LNN2LNT]
v:1377 [binder, in hydras.Ackermann.codeSubFormula]
v:138 [binder, in Goedel.PRrepresentable]
v:138 [binder, in hydras.Ackermann.codeSubTerm]
v:1380 [binder, in hydras.Ackermann.codeSubFormula]
v:1389 [binder, in hydras.Ackermann.codeSubFormula]
v:139 [binder, in hydras.Ackermann.subProp]
v:1393 [binder, in hydras.Ackermann.codeSubFormula]
v:1397 [binder, in hydras.Ackermann.codeSubFormula]
v:14 [binder, in hydras.Ackermann.codeSubTerm]
v:14 [binder, in Goedel.fixPoint]
v:140 [binder, in hydras.Ackermann.model]
v:1400 [binder, in hydras.Ackermann.codeSubFormula]
v:1405 [binder, in hydras.Ackermann.codeSubFormula]
v:141 [binder, in hydras.Ackermann.codeSubTerm]
v:1411 [binder, in hydras.Ackermann.codeSubFormula]
v:1418 [binder, in hydras.Ackermann.codeSubFormula]
v:142 [binder, in hydras.Ackermann.folProp]
v:1423 [binder, in hydras.Ackermann.codeSubFormula]
v:1428 [binder, in hydras.Ackermann.codeSubFormula]
v:143 [binder, in hydras.Ackermann.LNN2LNT]
v:1431 [binder, in hydras.Ackermann.codeSubFormula]
v:1434 [binder, in hydras.Ackermann.codeSubFormula]
v:1437 [binder, in hydras.Ackermann.codeSubFormula]
v:144 [binder, in hydras.Ackermann.codeSubTerm]
v:144 [binder, in hydras.Ackermann.model]
v:1440 [binder, in hydras.Ackermann.codeSubFormula]
v:1443 [binder, in hydras.Ackermann.codeSubFormula]
v:1446 [binder, in hydras.Ackermann.codeSubFormula]
v:1449 [binder, in hydras.Ackermann.codeSubFormula]
v:1452 [binder, in hydras.Ackermann.codeSubFormula]
v:1455 [binder, in hydras.Ackermann.codeSubFormula]
v:1458 [binder, in hydras.Ackermann.codeSubFormula]
v:146 [binder, in hydras.Ackermann.folProp]
v:1461 [binder, in hydras.Ackermann.codeSubFormula]
v:1464 [binder, in hydras.Ackermann.codeSubFormula]
v:1467 [binder, in hydras.Ackermann.codeSubFormula]
v:147 [binder, in Goedel.PRrepresentable]
v:147 [binder, in hydras.Ackermann.codeSubTerm]
v:147 [binder, in hydras.Ackermann.LNN2LNT]
v:1470 [binder, in hydras.Ackermann.codeSubFormula]
v:1473 [binder, in hydras.Ackermann.codeSubFormula]
v:1476 [binder, in hydras.Ackermann.codeSubFormula]
v:1479 [binder, in hydras.Ackermann.codeSubFormula]
v:148 [binder, in hydras.Ackermann.model]
v:148 [binder, in hydras.Ackermann.fol]
v:1482 [binder, in hydras.Ackermann.codeSubFormula]
v:1485 [binder, in hydras.Ackermann.codeSubFormula]
v:1488 [binder, in hydras.Ackermann.codeSubFormula]
v:149 [binder, in Goedel.PRrepresentable]
v:149 [binder, in hydras.Ackermann.codeSubTerm]
v:1491 [binder, in hydras.Ackermann.codeSubFormula]
v:1494 [binder, in hydras.Ackermann.codeSubFormula]
v:1497 [binder, in hydras.Ackermann.codeSubFormula]
v:15 [binder, in hydras.Ackermann.folProp]
v:15 [binder, in hydras.Prelude.MoreVectors]
v:150 [binder, in hydras.Ackermann.folProp]
v:1500 [binder, in hydras.Ackermann.codeSubFormula]
v:1503 [binder, in hydras.Ackermann.codeSubFormula]
v:1506 [binder, in hydras.Ackermann.codeSubFormula]
v:1509 [binder, in hydras.Ackermann.codeSubFormula]
v:151 [binder, in hydras.Ackermann.codeSubTerm]
v:1511 [binder, in gaia_hydras.nfwfgaia]
v:1514 [binder, in gaia_hydras.nfwfgaia]
v:1516 [binder, in hydras.Ackermann.codeSubFormula]
v:1517 [binder, in gaia_hydras.nfwfgaia]
v:1519 [binder, in hydras.Ackermann.codeSubFormula]
v:1522 [binder, in hydras.Ackermann.codeSubFormula]
v:1525 [binder, in hydras.Ackermann.codeSubFormula]
v:1528 [binder, in hydras.Ackermann.codeSubFormula]
v:153 [binder, in hydras.Ackermann.codeSubTerm]
v:1531 [binder, in hydras.Ackermann.codeSubFormula]
v:1534 [binder, in hydras.Ackermann.codeSubFormula]
v:1537 [binder, in hydras.Ackermann.codeSubFormula]
v:154 [binder, in hydras.Ackermann.folProp]
v:1540 [binder, in hydras.Ackermann.codeSubFormula]
v:1543 [binder, in hydras.Ackermann.codeSubFormula]
v:1546 [binder, in hydras.Ackermann.codeSubFormula]
v:1549 [binder, in hydras.Ackermann.codeSubFormula]
v:155 [binder, in hydras.Ackermann.codeSubTerm]
v:1552 [binder, in hydras.Ackermann.codeSubFormula]
v:1555 [binder, in hydras.Ackermann.codeSubFormula]
v:1558 [binder, in hydras.Ackermann.codeSubFormula]
v:156 [binder, in hydras.Ackermann.model]
v:1561 [binder, in hydras.Ackermann.codeSubFormula]
v:1564 [binder, in hydras.Ackermann.codeSubFormula]
v:1567 [binder, in hydras.Ackermann.codeSubFormula]
v:157 [binder, in hydras.Ackermann.codeSubTerm]
v:158 [binder, in Goedel.PRrepresentable]
v:158 [binder, in hydras.Ackermann.subProp]
v:16 [binder, in hydras.Ackermann.codeSubTerm]
v:160 [binder, in Goedel.PRrepresentable]
v:162 [binder, in hydras.Ackermann.LNT]
v:17 [binder, in Goedel.fixPoint]
v:17 [binder, in Goedel.goedel2]
v:170 [binder, in hydras.Ackermann.LNN]
v:1789 [binder, in gaia_hydras.nfwfgaia]
v:18 [binder, in hydras.Ackermann.LNN2LNT]
v:18 [binder, in hydras.Ackermann.folProp]
v:18 [binder, in hydras.Ackermann.subProp]
v:192 [binder, in hydras.rpo.rpo]
v:193 [binder, in hydras.rpo.rpo]
v:197 [binder, in hydras.Ackermann.subAll]
v:199 [binder, in hydras.Ackermann.subAll]
v:2 [binder, in Goedel.fixPoint]
v:2 [binder, in hydras.Ackermann.PA]
v:20 [binder, in Goedel.fixPoint]
v:20 [binder, in hydras.Ackermann.PA]
v:2042 [binder, in gaia_hydras.nfwfgaia]
v:2086 [binder, in gaia_hydras.nfwfgaia]
v:21 [binder, in Goedel.goedel2]
v:212 [binder, in hydras.Ackermann.fol]
v:215 [binder, in hydras.rpo.term]
v:22 [binder, in hydras.MoreAck.AckNotPR]
v:22 [binder, in hydras.Ackermann.subProp]
v:220 [binder, in hydras.rpo.term]
v:23 [binder, in Goedel.fixPoint]
v:23 [binder, in hydras.Ackermann.PA]
v:233 [binder, in hydras.Ackermann.subAll]
v:233 [binder, in hydras.Ackermann.folProp]
v:234 [binder, in hydras.Ackermann.subAll]
v:235 [binder, in hydras.Ackermann.subAll]
v:235 [binder, in hydras.Ackermann.fol]
v:236 [binder, in hydras.Ackermann.subAll]
v:237 [binder, in hydras.Ackermann.subAll]
v:238 [binder, in Goedel.PRrepresentable]
v:238 [binder, in hydras.Ackermann.subAll]
v:239 [binder, in hydras.Ackermann.subAll]
v:24 [binder, in hydras.Ackermann.PA]
v:24 [binder, in Goedel.codeSysPrf]
v:240 [binder, in hydras.Ackermann.subAll]
v:241 [binder, in Goedel.PRrepresentable]
v:242 [binder, in hydras.Ackermann.subAll]
v:244 [binder, in Goedel.PRrepresentable]
v:244 [binder, in hydras.Ackermann.subAll]
v:247 [binder, in Goedel.PRrepresentable]
v:247 [binder, in hydras.Ackermann.subAll]
v:248 [binder, in hydras.Ackermann.subAll]
v:25 [binder, in hydras.Ackermann.folProp]
v:258 [binder, in hydras.Ackermann.subAll]
v:26 [binder, in hydras.Ackermann.folProof]
v:26 [binder, in hydras.Ackermann.LNN2LNT]
v:26 [binder, in hydras.Ackermann.subProp]
v:263 [binder, in Goedel.PRrepresentable]
v:267 [binder, in Goedel.PRrepresentable]
v:267 [binder, in hydras.Ackermann.fol]
v:27 [binder, in Goedel.fixPoint]
v:271 [binder, in hydras.Ackermann.fol]
v:274 [binder, in Goedel.PRrepresentable]
v:28 [binder, in hydras.Ackermann.folProp]
v:28 [binder, in hydras.MoreAck.AckNotPR]
v:28 [binder, in hydras.Ackermann.folReplace]
v:28 [binder, in Goedel.rosser]
v:281 [binder, in hydras.Ackermann.folProp]
v:287 [binder, in Goedel.PRrepresentable]
v:288 [binder, in Goedel.PRrepresentable]
v:289 [binder, in Goedel.PRrepresentable]
v:29 [binder, in Goedel.PRrepresentable]
v:293 [binder, in Goedel.PRrepresentable]
v:294 [binder, in hydras.rpo.term]
v:294 [binder, in Goedel.PRrepresentable]
v:295 [binder, in Goedel.PRrepresentable]
v:296 [binder, in hydras.rpo.term]
v:299 [binder, in hydras.rpo.term]
v:299 [binder, in hydras.Ackermann.subAll]
v:3 [binder, in hydras.MoreAck.BadSubst]
v:3 [binder, in hydras.Ackermann.subProp]
v:3 [binder, in hydras.Ackermann.wConsistent]
v:3 [binder, in hydras.Ackermann.expressible]
v:308 [binder, in hydras.rpo.term]
v:309 [binder, in Goedel.PRrepresentable]
v:31 [binder, in hydras.Ackermann.folProp]
v:31 [binder, in hydras.MoreAck.AckNotPR]
v:31 [binder, in hydras.Ackermann.subProp]
v:312 [binder, in Goedel.PRrepresentable]
v:314 [binder, in Goedel.PRrepresentable]
v:315 [binder, in Goedel.PRrepresentable]
v:317 [binder, in Goedel.PRrepresentable]
v:317 [binder, in hydras.Ackermann.fol]
v:32 [binder, in hydras.Ackermann.folReplace]
v:320 [binder, in Goedel.PRrepresentable]
v:320 [binder, in hydras.Ackermann.subAll]
v:321 [binder, in Goedel.PRrepresentable]
v:321 [binder, in hydras.Ackermann.fol]
v:322 [binder, in Goedel.PRrepresentable]
v:322 [binder, in hydras.Ackermann.subAll]
v:323 [binder, in Goedel.PRrepresentable]
v:324 [binder, in Goedel.PRrepresentable]
v:33 [binder, in Goedel.PRrepresentable]
v:33 [binder, in hydras.Ackermann.folLogic2]
v:343 [binder, in hydras.Ackermann.subAll]
v:348 [binder, in hydras.Ackermann.subAll]
v:35 [binder, in hydras.Ackermann.folProof]
v:35 [binder, in hydras.MoreAck.AckNotPR]
V:35 [binder, in hydras.Schutte.Countable]
v:353 [binder, in hydras.Ackermann.subAll]
v:355 [binder, in hydras.Ackermann.checkPrf]
v:358 [binder, in hydras.Ackermann.subAll]
v:36 [binder, in hydras.rpo.term]
v:36 [binder, in hydras.Ackermann.subProp]
v:363 [binder, in hydras.Ackermann.fol]
v:367 [binder, in hydras.Ackermann.fol]
v:37 [binder, in hydras.Ackermann.folLogic2]
v:37 [binder, in hydras.Ackermann.folProp]
v:371 [binder, in hydras.Ackermann.subAll]
v:38 [binder, in hydras.Ackermann.folProof]
v:38 [binder, in Goedel.PRrepresentable]
v:38 [binder, in hydras.Ackermann.codeSubTerm]
v:39 [binder, in Goedel.codeSysPrf]
v:391 [binder, in gaia_hydras.nfwfgaia]
v:394 [binder, in hydras.Ackermann.folProp]
v:398 [binder, in hydras.Ackermann.folProp]
v:4 [binder, in hydras.Prelude.MoreVectors]
v:40 [binder, in hydras.Ackermann.folProp]
v:40 [binder, in Goedel.rosserPA]
v:40 [binder, in Goedel.codeSysPrf]
v:402 [binder, in hydras.Ackermann.folProp]
v:407 [binder, in hydras.Ackermann.folProp]
v:407 [binder, in hydras.Ackermann.fol]
v:408 [binder, in hydras.Ackermann.checkPrf]
v:41 [binder, in hydras.Ackermann.folProof]
v:41 [binder, in hydras.Ackermann.model]
v:41 [binder, in hydras.MoreAck.AckNotPR]
v:41 [binder, in hydras.Ackermann.subProp]
v:41 [binder, in additions.fib]
v:41 [binder, in Goedel.codeSysPrf]
v:411 [binder, in hydras.Ackermann.fol]
v:412 [binder, in hydras.Ackermann.folProp]
v:415 [binder, in hydras.Ackermann.folProp]
v:418 [binder, in hydras.Ackermann.folProp]
v:42 [binder, in hydras.rpo.term]
v:42 [binder, in Goedel.PRrepresentable]
v:42 [binder, in hydras.Ackermann.subAll]
v:42 [binder, in Goedel.codeSysPrf]
v:42 [binder, in hydras.Ackermann.expressible]
v:420 [binder, in hydras.Ackermann.fol]
v:422 [binder, in Goedel.PRrepresentable]
v:425 [binder, in hydras.Ackermann.folProp]
v:426 [binder, in Goedel.PRrepresentable]
v:427 [binder, in hydras.Ackermann.folProp]
v:43 [binder, in hydras.Ackermann.folProp]
v:43 [binder, in Goedel.rosserPA]
v:43 [binder, in Goedel.codeSysPrf]
v:430 [binder, in hydras.Ackermann.folProp]
v:435 [binder, in hydras.Ackermann.folProp]
v:439 [binder, in hydras.Ackermann.folProp]
v:44 [binder, in Goedel.codeSysPrf]
v:44 [binder, in hydras.Prelude.MoreVectors]
v:440 [binder, in Goedel.PRrepresentable]
v:441 [binder, in Goedel.PRrepresentable]
v:442 [binder, in Goedel.PRrepresentable]
v:443 [binder, in Goedel.PRrepresentable]
v:443 [binder, in hydras.Ackermann.folProp]
v:443 [binder, in hydras.Ackermann.fol]
v:45 [binder, in hydras.MoreAck.AckNotPR]
v:45 [binder, in hydras.Ackermann.subProp]
v:45 [binder, in Goedel.rosserPA]
v:45 [binder, in hydras.Ackermann.folLogic3]
v:455 [binder, in hydras.Ackermann.checkPrf]
v:46 [binder, in hydras.Ackermann.folLogic3]
v:462 [binder, in Goedel.PRrepresentable]
v:464 [binder, in Goedel.PRrepresentable]
v:470 [binder, in Goedel.PRrepresentable]
v:472 [binder, in Goedel.PRrepresentable]
v:48 [binder, in Goedel.rosserPA]
v:49 [binder, in hydras.Ackermann.subAll]
v:49 [binder, in hydras.MoreAck.AckNotPR]
v:49 [binder, in hydras.Ackermann.subProp]
v:5 [binder, in Goedel.fixPoint]
v:5 [binder, in Goedel.goedel1]
v:5 [binder, in Goedel.rosser]
v:5 [binder, in Goedel.goedel2]
v:5 [binder, in hydras.Prelude.MoreVectors]
v:52 [binder, in hydras.Ackermann.folLogic3]
v:52 [binder, in Goedel.codeSysPrf]
v:52 [binder, in hydras.Prelude.MoreVectors]
v:53 [binder, in hydras.Ackermann.PA]
v:53 [binder, in hydras.Ackermann.folLogic3]
v:54 [binder, in hydras.Ackermann.subAll]
v:54 [binder, in hydras.Ackermann.codeSubTerm]
v:54 [binder, in hydras.Ackermann.subProp]
v:55 [binder, in hydras.Ackermann.subAll]
v:56 [binder, in hydras.Ackermann.subAll]
v:56 [binder, in Goedel.codeSysPrf]
v:57 [binder, in Goedel.PRrepresentable]
v:57 [binder, in hydras.Ackermann.subAll]
v:58 [binder, in hydras.Ackermann.codeSubTerm]
v:58 [binder, in Goedel.rosserPA]
v:59 [binder, in hydras.Ackermann.folProp]
v:59 [binder, in hydras.Ackermann.subProp]
v:59 [binder, in hydras.Ackermann.codeSubFormula]
v:59 [binder, in hydras.Prelude.MoreVectors]
v:6 [binder, in Goedel.rosserPA]
v:60 [binder, in hydras.Ackermann.subAll]
v:60 [binder, in hydras.Ackermann.LNN2LNT]
v:61 [binder, in Goedel.PRrepresentable]
v:61 [binder, in hydras.Ackermann.folProp]
v:61 [binder, in Goedel.codeSysPrf]
v:62 [binder, in hydras.Ackermann.codeSubTerm]
v:62 [binder, in Goedel.codeSysPrf]
v:626 [binder, in hydras.Ackermann.primRec]
v:63 [binder, in hydras.Ackermann.LNN2LNT]
v:63 [binder, in Goedel.codeSysPrf]
v:63 [binder, in hydras.Ackermann.expressible]
v:630 [binder, in hydras.Ackermann.primRec]
v:64 [binder, in hydras.Ackermann.subProp]
v:64 [binder, in Goedel.codeSysPrf]
v:647 [binder, in hydras.Ackermann.primRec]
v:65 [binder, in hydras.Ackermann.LNN2LNT]
v:65 [binder, in hydras.Ackermann.folLogic]
v:652 [binder, in hydras.Ackermann.primRec]
v:66 [binder, in hydras.Ackermann.codeSubTerm]
v:66 [binder, in hydras.Ackermann.folProp]
v:66 [binder, in hydras.Ackermann.folReplace]
v:67 [binder, in hydras.Ackermann.LNN2LNT]
v:67 [binder, in Goedel.rosser]
v:68 [binder, in hydras.Ackermann.subProp]
v:68 [binder, in hydras.Ackermann.folLogic]
v:68 [binder, in Goedel.codeSysPrf]
v:68 [binder, in hydras.Prelude.MoreVectors]
v:680 [binder, in gaia_hydras.nfwfgaia]
v:687 [binder, in gaia_hydras.nfwfgaia]
v:689 [binder, in gaia_hydras.nfwfgaia]
v:69 [binder, in hydras.MoreAck.AckNotPR]
v:692 [binder, in gaia_hydras.nfwfgaia]
v:7 [binder, in hydras.Ackermann.codeSubTerm]
v:7 [binder, in hydras.Ackermann.PA]
v:70 [binder, in hydras.Ackermann.codeSubTerm]
v:70 [binder, in hydras.Ackermann.LNN2LNT]
V:70 [binder, in hydras.Schutte.PartialFun]
v:70 [binder, in hydras.Ackermann.folReplace]
v:70 [binder, in hydras.Prelude.MoreVectors]
v:703 [binder, in gaia_hydras.nfwfgaia]
v:71 [binder, in hydras.Ackermann.subAll]
v:71 [binder, in hydras.MoreAck.AckNotPR]
v:71 [binder, in hydras.Ackermann.codeSubFormula]
v:713 [binder, in gaia_hydras.nfwfgaia]
v:72 [binder, in hydras.Ackermann.model]
v:72 [binder, in hydras.Ackermann.subProp]
v:72 [binder, in hydras.Ackermann.folLogic]
v:72 [binder, in Goedel.codeSysPrf]
v:73 [binder, in Goedel.codeSysPrf]
v:74 [binder, in Goedel.PRrepresentable]
v:74 [binder, in hydras.Ackermann.codeSubTerm]
v:74 [binder, in Goedel.codeSysPrf]
v:746 [binder, in gaia_hydras.nfwfgaia]
v:75 [binder, in hydras.Ackermann.subAll]
v:75 [binder, in hydras.Ackermann.LNT]
v:75 [binder, in hydras.Ackermann.folLogic]
v:76 [binder, in Goedel.PRrepresentable]
v:76 [binder, in hydras.Ackermann.codeSubFormula]
v:76 [binder, in hydras.Prelude.MoreVectors]
v:77 [binder, in hydras.Ackermann.subProp]
v:78 [binder, in hydras.Ackermann.codeSubTerm]
v:78 [binder, in hydras.Ackermann.LNN]
v:78 [binder, in hydras.Ackermann.LNT]
v:79 [binder, in Goedel.codeSysPrf]
v:8 [binder, in Goedel.fixPoint]
v:8 [binder, in hydras.Ackermann.subProp]
v:8 [binder, in hydras.Prelude.MoreVectors]
v:80 [binder, in hydras.Ackermann.folLogic]
v:80 [binder, in Goedel.codeSysPrf]
v:800 [binder, in gaia_hydras.nfwfgaia]
v:803 [binder, in gaia_hydras.nfwfgaia]
v:805 [binder, in gaia_hydras.nfwfgaia]
v:81 [binder, in hydras.Ackermann.LNN]
V:81 [binder, in hydras.Schutte.PartialFun]
v:82 [binder, in hydras.Ackermann.codeSubTerm]
v:82 [binder, in hydras.Ackermann.LNT]
v:82 [binder, in hydras.Ackermann.subProp]
v:82 [binder, in Goedel.codeSysPrf]
v:82 [binder, in hydras.Prelude.MoreVectors]
v:83 [binder, in hydras.Ackermann.model]
v:83 [binder, in hydras.Ackermann.folLogic]
v:84 [binder, in Goedel.PRrepresentable]
v:84 [binder, in hydras.Ackermann.subAll]
v:85 [binder, in hydras.Ackermann.LNN]
v:85 [binder, in hydras.Ackermann.LNT]
v:859 [binder, in hydras.Ackermann.codeSubFormula]
v:86 [binder, in hydras.Ackermann.codeSubTerm]
v:86 [binder, in hydras.Ackermann.codeSubFormula]
v:87 [binder, in hydras.Ackermann.subProp]
V:87 [binder, in hydras.Schutte.PartialFun]
v:87 [binder, in hydras.Ackermann.folLogic]
v:87 [binder, in hydras.Prelude.MoreVectors]
v:875 [binder, in hydras.Ackermann.codeSubFormula]
v:879 [binder, in hydras.Ackermann.codeSubFormula]
v:88 [binder, in Goedel.PRrepresentable]
v:88 [binder, in hydras.Ackermann.subAll]
v:88 [binder, in hydras.Ackermann.LNN]
v:88 [binder, in hydras.Ackermann.model]
v:88 [binder, in hydras.Ackermann.folLogic3]
v:883 [binder, in hydras.Ackermann.codeSubFormula]
v:898 [binder, in hydras.Ackermann.codeSubFormula]
v:9 [binder, in hydras.MoreAck.BadSubst]
v:90 [binder, in hydras.Ackermann.subAll]
v:90 [binder, in hydras.Ackermann.codeSubTerm]
v:90 [binder, in hydras.Ackermann.LNT]
v:91 [binder, in hydras.Ackermann.subAll]
v:91 [binder, in hydras.Ackermann.subProp]
v:91 [binder, in hydras.Ackermann.codeSubFormula]
v:91 [binder, in hydras.Prelude.MoreVectors]
v:915 [binder, in hydras.Ackermann.codeSubFormula]
v:920 [binder, in hydras.Ackermann.codeSubFormula]
v:925 [binder, in hydras.Ackermann.codeSubFormula]
v:93 [binder, in hydras.Ackermann.LNN]
v:93 [binder, in hydras.Ackermann.LNT]
v:94 [binder, in hydras.Ackermann.subAll]
v:94 [binder, in hydras.Prelude.MoreVectors]
v:95 [binder, in hydras.Ackermann.subProp]
v:95 [binder, in hydras.Ackermann.folReplace]
v:96 [binder, in hydras.Ackermann.LNN]
v:97 [binder, in Goedel.PRrepresentable]
v:97 [binder, in hydras.Ackermann.LNT]
v:98 [binder, in hydras.Ackermann.subAll]
v:98 [binder, in hydras.Ackermann.folLogic3]
v:99 [binder, in Goedel.PRrepresentable]
v:997 [binder, in gaia_hydras.nfwfgaia]

W

wConsistent [definition, in hydras.Ackermann.wConsistent]
wConsistent [library]
wCon2Con [lemma, in hydras.Ackermann.wConsistent]
wellFormed [library]
wellFormedFormula [definition, in hydras.Ackermann.wellFormed]
wellFormedFormulaCorrect1 [lemma, in hydras.Ackermann.wellFormed]
wellFormedFormulaCorrect2 [lemma, in hydras.Ackermann.wellFormed]
wellFormedFormulaIsPR [instance, in hydras.Ackermann.wellFormed]
wellFormedTerm [definition, in hydras.Ackermann.wellFormed]
wellFormedTermCorrect1 [lemma, in hydras.Ackermann.wellFormed]
wellFormedTermCorrect2 [lemma, in hydras.Ackermann.wellFormed]
wellFormedTermIsPR [instance, in hydras.Ackermann.wellFormed]
wellFormedTerms [definition, in hydras.Ackermann.wellFormed]
wellFormedTermsCorrect1 [lemma, in hydras.Ackermann.wellFormed]
wellFormedTermsCorrect2 [lemma, in hydras.Ackermann.wellFormed]
wellFormedTermsIsPR [instance, in hydras.Ackermann.wellFormed]
wellFormedTermTerms [definition, in hydras.Ackermann.wellFormed]
wellFormedTermTermsCorrect2 [lemma, in hydras.Ackermann.wellFormed]
wellFormedTermTermsIsPR [instance, in hydras.Ackermann.wellFormed]
well_formed_list:270 [binder, in hydras.rpo.term]
well_formed_list:90 [binder, in hydras.rpo.term]
well_founded_restriction_rect [definition, in hydras.Prelude.Restriction]
well_founded_restriction [definition, in hydras.Prelude.Restriction]
well_founded_length [lemma, in hydras.rpo.more_list]
Well_Formed_Term.Well_Formed_Formula.Formula [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityRIsCorrect2 [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityRIsCorrect1 [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityR [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula [section, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Terms [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.Term [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityFIsCorrect2 [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityFIsCorrect1 [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityF [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term.L [variable, in hydras.Ackermann.wellFormed]
Well_Formed_Term [section, in hydras.Ackermann.wellFormed]
well_order [projection, in hydras.Schutte.Well_Orders]
well_founded.R [variable, in hydras.Gamma0.Gamma0]
well_founded [section, in hydras.Gamma0.Gamma0]
well_founded_rpo [lemma, in hydras.Gamma0.Gamma0]
well_founded_P [definition, in gaia_hydras.nfwfgaia]
Well_Orders [library]
WF [instance, in hydras.OrdinalNotations.ON_Omega2]
wf [projection, in hydras.Prelude.WfVariant]
WF [instance, in hydras.Epsilon0.F_alpha]
Wfsum [module, in gaia_hydras.nfwfgaia]
Wfsum.extension [definition, in gaia_hydras.nfwfgaia]
Wfsum.f [definition, in gaia_hydras.nfwfgaia]
Wfsum.f_correct [lemma, in gaia_hydras.nfwfgaia]
Wfsum.f_eqn [lemma, in gaia_hydras.nfwfgaia]
Wfsum.f_spec_simp [lemma, in gaia_hydras.nfwfgaia]
Wfsum.f_spec [definition, in gaia_hydras.nfwfgaia]
Wfsum.f1 [definition, in gaia_hydras.nfwfgaia]
Wfsum.f2 [definition, in gaia_hydras.nfwfgaia]
Wfsum.lt_dec [lemma, in gaia_hydras.nfwfgaia]
Wfsum.psum [definition, in gaia_hydras.nfwfgaia]
Wfsum.psum_exten [lemma, in gaia_hydras.nfwfgaia]
WfVariant [record, in hydras.Prelude.WfVariant]
WfVariant [library]
wf_inverse_image_transparent [lemma, in additions.Wf_transparent]
wf_incl_transparent [lemma, in additions.Wf_transparent]
wf_measure [lemma, in hydras.OrdinalNotations.ON_Generic]
wf_ltn [lemma, in gaia_hydras.onType]
wf_trans [lemma, in hydras.rpo.closure]
Wf_ex3.f_correct [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f_eqn [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f [definition, in gaia_hydras.nfwfgaia]
Wf_ex3.f2 [definition, in gaia_hydras.nfwfgaia]
Wf_ex3.f1 [definition, in gaia_hydras.nfwfgaia]
Wf_ex3.odd_dec [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f0c [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f0b [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f0a [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp2 [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp1 [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec [definition, in gaia_hydras.nfwfgaia]
Wf_ex3.lte_wf [lemma, in gaia_hydras.nfwfgaia]
Wf_ex3.lte [definition, in gaia_hydras.nfwfgaia]
Wf_ex3 [module, in gaia_hydras.nfwfgaia]
Wf_ex.f_correct [lemma, in gaia_hydras.nfwfgaia]
Wf_ex.f_eqn [lemma, in gaia_hydras.nfwfgaia]
Wf_ex.f [definition, in gaia_hydras.nfwfgaia]
Wf_ex.f2 [definition, in gaia_hydras.nfwfgaia]
Wf_ex.f1 [definition, in gaia_hydras.nfwfgaia]
Wf_ex.f0 [lemma, in gaia_hydras.nfwfgaia]
Wf_ex.f_spec_simp [lemma, in gaia_hydras.nfwfgaia]
Wf_ex.f_spec [definition, in gaia_hydras.nfwfgaia]
Wf_ex [module, in gaia_hydras.nfwfgaia]
wf_lexico [lemma, in hydras.Prelude.Simple_LexProd]
wf_lex [lemma, in hydras.rpo.rpo]
Wf_transparent [library]
Wf:101 [binder, in hydras.Hydra.Hydra_Lemmas]
Wf:111 [binder, in hydras.Hydra.Hydra_Lemmas]
Wf:146 [binder, in hydras.Hydra.Hydra_Definitions]
Wf:156 [binder, in hydras.Hydra.Hydra_Definitions]
wInconsistent [definition, in hydras.Ackermann.wConsistent]
with_matrices.R [variable, in additions.fib]
with_matrices [section, in additions.fib]
WO [record, in hydras.Schutte.Well_Orders]
WO_ord [instance, in hydras.Schutte.Schutte_basics]
WO_nat [instance, in hydras.Schutte.Well_Orders]
Wo:19 [binder, in hydras.Schutte.Well_Orders]
WO:54 [binder, in hydras.Schutte.Well_Orders]
WO:59 [binder, in hydras.Schutte.Well_Orders]
w:101 [binder, in Goedel.PRrepresentable]
w:122 [binder, in Goedel.PRrepresentable]
w:1237 [binder, in hydras.Ackermann.codeSubFormula]
w:129 [binder, in Goedel.PRrepresentable]
w:1388 [binder, in hydras.Ackermann.codeSubFormula]
w:1392 [binder, in hydras.Ackermann.codeSubFormula]
w:14 [binder, in hydras.Prelude.MoreOrders]
w:140 [binder, in Goedel.PRrepresentable]
w:151 [binder, in Goedel.PRrepresentable]
w:1513 [binder, in gaia_hydras.nfwfgaia]
w:1516 [binder, in gaia_hydras.nfwfgaia]
w:1519 [binder, in gaia_hydras.nfwfgaia]
w:300 [binder, in hydras.Ackermann.subAll]
w:402 [binder, in hydras.Ackermann.primRec]
w:410 [binder, in hydras.Ackermann.primRec]
w:60 [binder, in hydras.Prelude.MoreVectors]
w:705 [binder, in gaia_hydras.nfwfgaia]
w:715 [binder, in gaia_hydras.nfwfgaia]
w:815 [binder, in gaia_hydras.nfwfgaia]
w:822 [binder, in gaia_hydras.nfwfgaia]
w:899 [binder, in hydras.Ackermann.codeSubFormula]
w:916 [binder, in hydras.Ackermann.codeSubFormula]
w:921 [binder, in hydras.Ackermann.codeSubFormula]
w:926 [binder, in hydras.Ackermann.codeSubFormula]
w:998 [binder, in gaia_hydras.nfwfgaia]

X

xb:227 [binder, in additions.Euclidean_Chains]
xb:238 [binder, in additions.Euclidean_Chains]
xb:254 [binder, in additions.Euclidean_Chains]
xb:258 [binder, in additions.Euclidean_Chains]
xb:262 [binder, in additions.Euclidean_Chains]
xb:266 [binder, in additions.Euclidean_Chains]
xb:304 [binder, in additions.Euclidean_Chains]
xb:306 [binder, in additions.Euclidean_Chains]
xb:308 [binder, in additions.Euclidean_Chains]
xb:310 [binder, in additions.Euclidean_Chains]
xi:13 [binder, in hydras.Schutte.Critical]
xi:56 [binder, in hydras.Schutte.Critical]
xi:63 [binder, in hydras.Schutte.Critical]
xi:64 [binder, in hydras.Schutte.Critical]
xi:73 [binder, in hydras.Schutte.Critical]
xi:79 [binder, in hydras.Schutte.Critical]
xPair [definition, in hydras.Ackermann.cPair]
xPairDef [lemma, in hydras.Ackermann.cPair]
xr:228 [binder, in additions.Euclidean_Chains]
xr:255 [binder, in additions.Euclidean_Chains]
xr:259 [binder, in additions.Euclidean_Chains]
xr:263 [binder, in additions.Euclidean_Chains]
xr:267 [binder, in additions.Euclidean_Chains]
x':1395 [binder, in gaia_hydras.nfwfgaia]
x':526 [binder, in gaia_hydras.nfwfgaia]
x':529 [binder, in gaia_hydras.nfwfgaia]
x0:123 [binder, in hydras.Ackermann.model]
x0:125 [binder, in hydras.Ackermann.model]
x0:200 [binder, in hydras.Ackermann.folProp]
x0:216 [binder, in hydras.Ackermann.folProp]
x0:226 [binder, in Goedel.PRrepresentable]
x0:228 [binder, in Goedel.PRrepresentable]
x0:233 [binder, in Goedel.PRrepresentable]
x0:235 [binder, in Goedel.PRrepresentable]
x0:296 [binder, in hydras.Ackermann.folProp]
x0:312 [binder, in hydras.Ackermann.folProp]
x0:329 [binder, in hydras.Ackermann.subAll]
x0:331 [binder, in hydras.Ackermann.subAll]
x0:332 [binder, in hydras.Ackermann.subAll]
x0:334 [binder, in hydras.Ackermann.subAll]
x0:335 [binder, in hydras.Ackermann.subAll]
x0:336 [binder, in hydras.Ackermann.subAll]
x0:337 [binder, in hydras.Ackermann.subAll]
x0:338 [binder, in hydras.Ackermann.subAll]
x0:360 [binder, in hydras.Ackermann.folProp]
x0:376 [binder, in hydras.Ackermann.folProp]
x0:90 [binder, in hydras.Ackermann.model]
x0:91 [binder, in hydras.Ackermann.model]
x0:92 [binder, in hydras.Ackermann.model]
x0:93 [binder, in hydras.Ackermann.model]
x0:95 [binder, in hydras.Ackermann.model]
x0:97 [binder, in hydras.Ackermann.model]
x10:30 [binder, in additions.Addition_Chains]
x16:104 [binder, in additions.Pow]
x16:95 [binder, in additions.Pow_variant]
x1:328 [binder, in hydras.Ackermann.folProp]
x1:344 [binder, in hydras.Ackermann.folProp]
x20:31 [binder, in additions.Addition_Chains]
x2:101 [binder, in additions.Pow]
x2:153 [binder, in additions.Euclidean_Chains]
x2:158 [binder, in additions.Euclidean_Chains]
x2:16 [binder, in additions.Addition_Chains]
x2:20 [binder, in additions.Addition_Chains]
x2:249 [binder, in additions.Addition_Chains]
x2:253 [binder, in additions.Addition_Chains]
x2:26 [binder, in additions.Addition_Chains]
x2:260 [binder, in additions.Addition_Chains]
x2:262 [binder, in additions.Addition_Chains]
x2:92 [binder, in additions.Pow_variant]
x3:154 [binder, in additions.Euclidean_Chains]
x3:159 [binder, in additions.Euclidean_Chains]
x3:17 [binder, in additions.Addition_Chains]
x3:21 [binder, in additions.Addition_Chains]
x3:27 [binder, in additions.Addition_Chains]
x40:32 [binder, in additions.Addition_Chains]
x4:10 [binder, in hydras.Ackermann.PAconsistent]
x4:102 [binder, in additions.Pow]
x4:9 [binder, in hydras.Ackermann.PAconsistent]
x4:93 [binder, in additions.Pow_variant]
x6:160 [binder, in additions.Euclidean_Chains]
x6:22 [binder, in additions.Addition_Chains]
x6:28 [binder, in additions.Addition_Chains]
x7:161 [binder, in additions.Euclidean_Chains]
x7:23 [binder, in additions.Addition_Chains]
x7:29 [binder, in additions.Addition_Chains]
x80:33 [binder, in additions.Addition_Chains]
x87:34 [binder, in additions.Addition_Chains]
x8:103 [binder, in additions.Pow]
x8:94 [binder, in additions.Pow_variant]
x:1 [binder, in hydras.Ackermann.LNN]
x:1 [binder, in hydras.Ackermann.LNT]
x:1 [binder, in additions.Naive]
x:10 [binder, in hydras.solutions_exercises.MinPR2]
x:10 [binder, in hydras.Prelude.Iterates]
X:10 [binder, in hydras.Prelude.Restriction]
x:10 [binder, in hydras.Ackermann.LNN]
X:10 [binder, in hydras.Schutte.Lub]
x:10 [binder, in hydras.Ackermann.subProp]
x:10 [binder, in hydras.Prelude.MoreOrders]
x:10 [binder, in additions.Monoid_def]
x:10 [binder, in additions.Euclidean_Chains]
X:10 [binder, in hydras.Schutte.Schutte_basics]
x:10 [binder, in hydras.Ackermann.NN]
x:10 [binder, in hydras.solutions_exercises.T1_ltNotWf]
x:10 [binder, in hydras.Schutte.Countable]
x:100 [binder, in hydras.Ackermann.model]
x:100 [binder, in additions.Pow]
x:100 [binder, in hydras.Schutte.Ordering_Functions]
x:101 [binder, in hydras.Ackermann.model]
x:101 [binder, in gaia_hydras.T1Bridge]
x:101 [binder, in hydras.Ackermann.cPair]
x:1016 [binder, in gaia_hydras.nfwfgaia]
x:102 [binder, in hydras.Schutte.Ordering_Functions]
x:102 [binder, in hydras.MoreAck.PrimRecExamples]
x:102 [binder, in hydras.Prelude.MoreVectors]
x:103 [binder, in hydras.Ackermann.fol]
x:1038 [binder, in gaia_hydras.nfwfgaia]
x:1039 [binder, in gaia_hydras.nfwfgaia]
x:104 [binder, in hydras.Schutte.Ordering_Functions]
x:1041 [binder, in gaia_hydras.nfwfgaia]
x:1043 [binder, in gaia_hydras.nfwfgaia]
x:1046 [binder, in gaia_hydras.nfwfgaia]
x:105 [binder, in hydras.Prelude.Iterates]
x:105 [binder, in hydras.OrdinalNotations.ON_Generic]
x:1053 [binder, in gaia_hydras.nfwfgaia]
x:1054 [binder, in gaia_hydras.nfwfgaia]
x:1055 [binder, in gaia_hydras.nfwfgaia]
x:1056 [binder, in gaia_hydras.nfwfgaia]
x:1057 [binder, in gaia_hydras.nfwfgaia]
x:1058 [binder, in gaia_hydras.nfwfgaia]
x:106 [binder, in additions.Euclidean_Chains]
x:1061 [binder, in gaia_hydras.nfwfgaia]
x:1064 [binder, in gaia_hydras.nfwfgaia]
x:1067 [binder, in gaia_hydras.nfwfgaia]
x:1068 [binder, in gaia_hydras.nfwfgaia]
x:1069 [binder, in gaia_hydras.nfwfgaia]
x:107 [binder, in hydras.Prelude.Iterates]
x:107 [binder, in additions.Pow]
x:107 [binder, in hydras.Ackermann.fol]
x:1070 [binder, in gaia_hydras.nfwfgaia]
x:1071 [binder, in gaia_hydras.nfwfgaia]
x:1072 [binder, in gaia_hydras.nfwfgaia]
x:1074 [binder, in gaia_hydras.nfwfgaia]
x:1075 [binder, in gaia_hydras.nfwfgaia]
x:1084 [binder, in gaia_hydras.nfwfgaia]
x:1085 [binder, in gaia_hydras.nfwfgaia]
x:1086 [binder, in gaia_hydras.nfwfgaia]
x:1087 [binder, in gaia_hydras.nfwfgaia]
x:1089 [binder, in gaia_hydras.nfwfgaia]
x:109 [binder, in hydras.Prelude.Iterates]
x:1091 [binder, in gaia_hydras.nfwfgaia]
x:1093 [binder, in gaia_hydras.nfwfgaia]
x:1095 [binder, in gaia_hydras.nfwfgaia]
x:11 [binder, in hydras.Prelude.Restriction]
x:11 [binder, in hydras.Ackermann.LNT]
x:11 [binder, in hydras.Prelude.Sort_spec]
x:11 [binder, in hydras.Ackermann.PAtheory]
x:11 [binder, in additions.Wf_transparent]
x:11 [binder, in hydras.Ackermann.cPair]
x:11 [binder, in additions.Naive]
x:11 [binder, in hydras.Prelude.LibHyps_Experiments]
x:11 [binder, in hydras.Ackermann.folLogic3]
x:11 [binder, in Goedel.rosser]
x:11 [binder, in hydras.Ackermann.Languages]
x:1105 [binder, in gaia_hydras.nfwfgaia]
x:1108 [binder, in gaia_hydras.nfwfgaia]
x:1113 [binder, in gaia_hydras.nfwfgaia]
x:1114 [binder, in gaia_hydras.nfwfgaia]
x:1119 [binder, in gaia_hydras.nfwfgaia]
x:112 [binder, in hydras.rpo.term]
x:112 [binder, in hydras.Prelude.Iterates]
x:1124 [binder, in gaia_hydras.nfwfgaia]
x:1125 [binder, in gaia_hydras.nfwfgaia]
x:1128 [binder, in gaia_hydras.nfwfgaia]
x:1138 [binder, in gaia_hydras.nfwfgaia]
x:1139 [binder, in gaia_hydras.nfwfgaia]
x:114 [binder, in additions.AM]
x:114 [binder, in hydras.Prelude.Iterates]
x:1143 [binder, in gaia_hydras.nfwfgaia]
x:115 [binder, in hydras.Prelude.MoreLists]
x:115 [binder, in hydras.Ackermann.fol]
x:115 [binder, in gaia_hydras.nfwfgaia]
x:117 [binder, in hydras.Prelude.Iterates]
x:117 [binder, in additions.Euclidean_Chains]
x:118 [binder, in hydras.Ackermann.model]
x:118 [binder, in hydras.OrdinalNotations.ON_Generic]
x:118 [binder, in gaia_hydras.nfwfgaia]
x:119 [binder, in hydras.Ackermann.model]
x:119 [binder, in gaia_hydras.nfwfgaia]
x:1197 [binder, in gaia_hydras.nfwfgaia]
x:12 [binder, in additions.Compatibility]
x:12 [binder, in hydras.Ackermann.LNN]
x:12 [binder, in hydras.Schutte.MoreEpsilonIota]
x:12 [binder, in additions.Wf_transparent]
x:12 [binder, in hydras.Prelude.MoreDecidable]
x:12 [binder, in hydras.Ackermann.folLogic3]
x:12 [binder, in hydras.Ackermann.wConsistent]
x:12 [binder, in Goedel.rosser]
x:12 [binder, in hydras.Schutte.Countable]
x:120 [binder, in hydras.Ackermann.model]
x:1201 [binder, in gaia_hydras.nfwfgaia]
x:1206 [binder, in gaia_hydras.nfwfgaia]
x:121 [binder, in hydras.Ackermann.model]
x:1217 [binder, in gaia_hydras.nfwfgaia]
x:1218 [binder, in gaia_hydras.nfwfgaia]
x:122 [binder, in hydras.Ackermann.model]
x:122 [binder, in hydras.Ackermann.fol]
x:122 [binder, in gaia_hydras.nfwfgaia]
x:1220 [binder, in gaia_hydras.nfwfgaia]
x:1222 [binder, in gaia_hydras.nfwfgaia]
x:1224 [binder, in gaia_hydras.nfwfgaia]
x:1229 [binder, in gaia_hydras.nfwfgaia]
x:124 [binder, in hydras.Prelude.MoreLists]
x:124 [binder, in hydras.Ackermann.model]
x:1250 [binder, in gaia_hydras.nfwfgaia]
x:1259 [binder, in gaia_hydras.nfwfgaia]
x:126 [binder, in Goedel.PRrepresentable]
x:126 [binder, in hydras.Prelude.Merge_Sort]
x:1262 [binder, in gaia_hydras.nfwfgaia]
x:1267 [binder, in gaia_hydras.nfwfgaia]
x:1268 [binder, in gaia_hydras.nfwfgaia]
x:127 [binder, in hydras.Ackermann.fol]
x:128 [binder, in hydras.Prelude.Merge_Sort]
x:129 [binder, in additions.AM]
X:129 [binder, in hydras.Ackermann.cPair]
x:13 [binder, in hydras.Prelude.DecPreOrder_Instances]
x:13 [binder, in hydras.Prelude.Iterates]
x:13 [binder, in additions.FirstSteps]
x:13 [binder, in hydras.Ackermann.LNN]
x:13 [binder, in hydras.Ackermann.PAtheory]
x:13 [binder, in hydras.Prelude.MoreOrders]
x:13 [binder, in hydras.Ackermann.cPair]
x:13 [binder, in additions.Euclidean_Chains]
x:13 [binder, in additions.Naive]
X:130 [binder, in hydras.Schutte.Schutte_basics]
x:1311 [binder, in gaia_hydras.nfwfgaia]
x:132 [binder, in hydras.Ackermann.fol]
x:1325 [binder, in gaia_hydras.nfwfgaia]
x:134 [binder, in hydras.Prelude.Merge_Sort]
x:1342 [binder, in gaia_hydras.nfwfgaia]
x:135 [binder, in gaia_hydras.T1Bridge]
x:135 [binder, in hydras.Ackermann.primRec]
x:135 [binder, in hydras.Ackermann.fol]
x:136 [binder, in hydras.Prelude.Merge_Sort]
x:136 [binder, in hydras.Ackermann.fol]
x:137 [binder, in hydras.Ackermann.codeFreeVar]
x:137 [binder, in gaia_hydras.T1Bridge]
X:137 [binder, in hydras.Schutte.Schutte_basics]
x:138 [binder, in hydras.Ackermann.codeFreeVar]
x:138 [binder, in gaia_hydras.nfwfgaia]
x:139 [binder, in hydras.Ackermann.codeFreeVar]
x:139 [binder, in gaia_hydras.T1Bridge]
x:1394 [binder, in gaia_hydras.nfwfgaia]
x:1397 [binder, in gaia_hydras.nfwfgaia]
x:14 [binder, in gaia_hydras.T1Choice]
x:14 [binder, in additions.AM]
x:14 [binder, in additions.Compatibility]
x:14 [binder, in Goedel.rosserPA]
x:14 [binder, in additions.Monoid_def]
x:14 [binder, in gaia_hydras.ON_gfinite]
x:14 [binder, in hydras.Ackermann.Deduction]
X:14 [binder, in hydras.Schutte.Schutte_basics]
x:14 [binder, in gaia_hydras.onType]
x:14 [binder, in hydras.Ackermann.NN]
x:14 [binder, in hydras.Schutte.Countable]
x:140 [binder, in hydras.Ackermann.codeFreeVar]
x:140 [binder, in hydras.Prelude.Merge_Sort]
x:140 [binder, in hydras.Schutte.Schutte_basics]
x:140 [binder, in gaia_hydras.nfwfgaia]
x:1405 [binder, in gaia_hydras.nfwfgaia]
x:1409 [binder, in hydras.Ackermann.codeSubFormula]
x:1409 [binder, in gaia_hydras.nfwfgaia]
x:141 [binder, in hydras.Ackermann.codeFreeVar]
X:141 [binder, in hydras.Schutte.Schutte_basics]
x:141 [binder, in gaia_hydras.nfwfgaia]
x:1411 [binder, in gaia_hydras.nfwfgaia]
x:1414 [binder, in hydras.Ackermann.codeSubFormula]
x:1414 [binder, in gaia_hydras.nfwfgaia]
x:1416 [binder, in hydras.Ackermann.codeSubFormula]
x:142 [binder, in hydras.Ackermann.codeFreeVar]
x:142 [binder, in gaia_hydras.nfwfgaia]
x:1421 [binder, in hydras.Ackermann.codeSubFormula]
x:1426 [binder, in hydras.Ackermann.codeSubFormula]
x:143 [binder, in hydras.Ackermann.codeFreeVar]
x:1438 [binder, in gaia_hydras.nfwfgaia]
x:1439 [binder, in gaia_hydras.nfwfgaia]
x:144 [binder, in hydras.Ackermann.codeFreeVar]
x:144 [binder, in hydras.Prelude.Merge_Sort]
x:144 [binder, in additions.Euclidean_Chains]
X:144 [binder, in hydras.Schutte.Schutte_basics]
x:144 [binder, in hydras.OrdinalNotations.ON_Generic]
x:1440 [binder, in gaia_hydras.nfwfgaia]
x:145 [binder, in hydras.Ackermann.codeFreeVar]
x:1451 [binder, in gaia_hydras.nfwfgaia]
x:1452 [binder, in gaia_hydras.nfwfgaia]
x:1453 [binder, in gaia_hydras.nfwfgaia]
x:1454 [binder, in gaia_hydras.nfwfgaia]
x:1455 [binder, in gaia_hydras.nfwfgaia]
x:146 [binder, in hydras.Ackermann.codeFreeVar]
x:146 [binder, in gaia_hydras.T1Bridge]
X:146 [binder, in hydras.Schutte.Schutte_basics]
x:1467 [binder, in gaia_hydras.nfwfgaia]
x:147 [binder, in hydras.Prelude.MoreLists]
x:148 [binder, in hydras.Prelude.Merge_Sort]
x:148 [binder, in gaia_hydras.T1Bridge]
x:148 [binder, in hydras.Ackermann.cPair]
X:148 [binder, in hydras.Schutte.Schutte_basics]
x:148 [binder, in gaia_hydras.nfwfgaia]
x:1486 [binder, in gaia_hydras.nfwfgaia]
x:149 [binder, in hydras.Epsilon0.Paths]
x:15 [binder, in hydras.Prelude.Iterates]
x:15 [binder, in additions.Compatibility]
x:15 [binder, in additions.Pow_variant]
x:15 [binder, in additions.Pow]
x:15 [binder, in hydras.Ackermann.PAtheory]
x:15 [binder, in hydras.MoreAck.AckNotPR]
x:15 [binder, in hydras.Ackermann.subProp]
x:15 [binder, in Goedel.rosserPA]
x:15 [binder, in hydras.Ackermann.cPair]
x:15 [binder, in gaia_hydras.ON_gfinite]
X:15 [binder, in hydras.Schutte.Well_Orders]
x:15 [binder, in additions.Addition_Chains]
x:15 [binder, in Goedel.rosser]
x:150 [binder, in gaia_hydras.nfwfgaia]
x:151 [binder, in gaia_hydras.nfwfgaia]
x:152 [binder, in hydras.Prelude.Merge_Sort]
x:152 [binder, in hydras.Ackermann.cPair]
x:152 [binder, in additions.Euclidean_Chains]
x:152 [binder, in hydras.Schutte.Schutte_basics]
x:152 [binder, in hydras.Epsilon0.Paths]
x:153 [binder, in hydras.Schutte.Schutte_basics]
x:1539 [binder, in gaia_hydras.nfwfgaia]
x:154 [binder, in hydras.Prelude.Merge_Sort]
x:154 [binder, in hydras.Schutte.Schutte_basics]
x:154 [binder, in hydras.Epsilon0.Paths]
X:155 [binder, in hydras.Prelude.MoreLists]
X:155 [binder, in hydras.Schutte.Schutte_basics]
x:156 [binder, in hydras.Ackermann.folProp]
x:1567 [binder, in gaia_hydras.nfwfgaia]
x:157 [binder, in additions.Euclidean_Chains]
x:157 [binder, in hydras.Schutte.Schutte_basics]
x:157 [binder, in hydras.OrdinalNotations.ON_Generic]
x:1570 [binder, in hydras.Ackermann.codeSubFormula]
x:1571 [binder, in gaia_hydras.nfwfgaia]
x:1572 [binder, in hydras.Ackermann.codeSubFormula]
x:1574 [binder, in hydras.Ackermann.codeSubFormula]
x:1576 [binder, in hydras.Ackermann.codeSubFormula]
x:1578 [binder, in hydras.Ackermann.codeSubFormula]
X:158 [binder, in hydras.Prelude.MoreLists]
x:158 [binder, in hydras.Ackermann.folProp]
x:1580 [binder, in hydras.Ackermann.codeSubFormula]
x:1582 [binder, in hydras.Ackermann.codeSubFormula]
x:1584 [binder, in hydras.Ackermann.codeSubFormula]
x:1586 [binder, in hydras.Ackermann.codeSubFormula]
x:1588 [binder, in hydras.Ackermann.codeSubFormula]
x:159 [binder, in hydras.Prelude.Merge_Sort]
X:159 [binder, in hydras.Schutte.Schutte_basics]
x:1590 [binder, in hydras.Ackermann.codeSubFormula]
x:1592 [binder, in hydras.Ackermann.codeSubFormula]
x:1594 [binder, in gaia_hydras.nfwfgaia]
x:1597 [binder, in gaia_hydras.nfwfgaia]
x:16 [binder, in gaia_hydras.T1Choice]
x:16 [binder, in hydras.Prelude.Iterates]
x:16 [binder, in hydras.Ackermann.PAtheory]
x:16 [binder, in hydras.Schutte.Critical]
x:16 [binder, in gaia_hydras.T1Bridge]
x:16 [binder, in additions.Monoid_def]
x:16 [binder, in hydras.Prelude.STDPP_compat]
x:16 [binder, in Goedel.goedel1]
x:16 [binder, in hydras.Ackermann.NN]
x:16 [binder, in hydras.Schutte.Countable]
x:160 [binder, in hydras.Ackermann.folProp]
x:1600 [binder, in gaia_hydras.nfwfgaia]
x:161 [binder, in Goedel.PRrepresentable]
X:161 [binder, in hydras.Prelude.MoreLists]
X:161 [binder, in hydras.Schutte.Schutte_basics]
x:162 [binder, in hydras.Ackermann.folProp]
x:162 [binder, in hydras.Ackermann.cPair]
x:162 [binder, in gaia_hydras.nfwfgaia]
x:163 [binder, in Goedel.PRrepresentable]
x:163 [binder, in hydras.Prelude.Merge_Sort]
x:163 [binder, in hydras.Ackermann.cPair]
x:163 [binder, in hydras.Schutte.Schutte_basics]
x:163 [binder, in gaia_hydras.nfwfgaia]
x:163 [binder, in hydras.Ackermann.codePA]
x:164 [binder, in Goedel.PRrepresentable]
x:164 [binder, in hydras.Ackermann.folProp]
x:164 [binder, in hydras.Schutte.Schutte_basics]
x:164 [binder, in gaia_hydras.nfwfgaia]
x:164 [binder, in hydras.Ackermann.codePA]
x:165 [binder, in hydras.Schutte.Schutte_basics]
x:165 [binder, in gaia_hydras.nfwfgaia]
x:1655 [binder, in gaia_hydras.nfwfgaia]
x:1656 [binder, in gaia_hydras.nfwfgaia]
x:1658 [binder, in gaia_hydras.nfwfgaia]
x:166 [binder, in Goedel.PRrepresentable]
x:166 [binder, in hydras.Ackermann.folProp]
x:166 [binder, in gaia_hydras.nfwfgaia]
x:1663 [binder, in gaia_hydras.nfwfgaia]
x:1666 [binder, in gaia_hydras.nfwfgaia]
x:1668 [binder, in gaia_hydras.nfwfgaia]
x:167 [binder, in Goedel.PRrepresentable]
x:167 [binder, in hydras.Prelude.Merge_Sort]
x:167 [binder, in gaia_hydras.nfwfgaia]
x:1679 [binder, in gaia_hydras.nfwfgaia]
x:168 [binder, in Goedel.PRrepresentable]
x:168 [binder, in hydras.Prelude.MoreLists]
x:168 [binder, in hydras.Ackermann.folProp]
X:168 [binder, in hydras.Schutte.Schutte_basics]
x:1681 [binder, in gaia_hydras.nfwfgaia]
x:1682 [binder, in gaia_hydras.nfwfgaia]
x:1683 [binder, in gaia_hydras.nfwfgaia]
x:1684 [binder, in gaia_hydras.nfwfgaia]
x:1697 [binder, in gaia_hydras.nfwfgaia]
x:1698 [binder, in gaia_hydras.nfwfgaia]
x:17 [binder, in additions.FirstSteps]
x:17 [binder, in hydras.Ackermann.PA]
x:17 [binder, in hydras.Ackermann.cPair]
x:17 [binder, in gaia_hydras.ON_gfinite]
x:17 [binder, in hydras.Ackermann.Deduction]
x:17 [binder, in hydras.Ackermann.NNtheory]
x:17 [binder, in hydras.OrdinalNotations.ON_Generic]
x:17 [binder, in gaia_hydras.onType]
x:17 [binder, in hydras.Ackermann.folLogic3]
x:17 [binder, in Goedel.goedel1]
x:170 [binder, in hydras.Schutte.Schutte_basics]
x:1701 [binder, in gaia_hydras.nfwfgaia]
x:1704 [binder, in gaia_hydras.nfwfgaia]
x:1707 [binder, in gaia_hydras.nfwfgaia]
x:1708 [binder, in gaia_hydras.nfwfgaia]
x:1709 [binder, in gaia_hydras.nfwfgaia]
x:171 [binder, in Goedel.PRrepresentable]
x:171 [binder, in hydras.Ackermann.codeFreeVar]
x:171 [binder, in hydras.Schutte.Schutte_basics]
x:1710 [binder, in gaia_hydras.nfwfgaia]
x:1711 [binder, in gaia_hydras.nfwfgaia]
x:1712 [binder, in gaia_hydras.nfwfgaia]
x:1715 [binder, in gaia_hydras.nfwfgaia]
x:1716 [binder, in gaia_hydras.nfwfgaia]
x:172 [binder, in hydras.Ackermann.codeFreeVar]
x:172 [binder, in hydras.Schutte.Schutte_basics]
x:1723 [binder, in gaia_hydras.nfwfgaia]
x:1724 [binder, in gaia_hydras.nfwfgaia]
x:1725 [binder, in gaia_hydras.nfwfgaia]
x:1726 [binder, in gaia_hydras.nfwfgaia]
x:1728 [binder, in gaia_hydras.nfwfgaia]
x:173 [binder, in Goedel.PRrepresentable]
x:1730 [binder, in gaia_hydras.nfwfgaia]
x:1732 [binder, in gaia_hydras.nfwfgaia]
x:1734 [binder, in gaia_hydras.nfwfgaia]
x:1744 [binder, in gaia_hydras.nfwfgaia]
x:1748 [binder, in gaia_hydras.nfwfgaia]
x:175 [binder, in Goedel.PRrepresentable]
x:175 [binder, in additions.Euclidean_Chains]
x:1755 [binder, in gaia_hydras.nfwfgaia]
x:1756 [binder, in gaia_hydras.nfwfgaia]
x:1761 [binder, in gaia_hydras.nfwfgaia]
x:1766 [binder, in gaia_hydras.nfwfgaia]
x:1767 [binder, in gaia_hydras.nfwfgaia]
x:177 [binder, in Goedel.PRrepresentable]
x:177 [binder, in hydras.Prelude.Iterates]
x:177 [binder, in hydras.Ackermann.fol]
x:1770 [binder, in gaia_hydras.nfwfgaia]
x:178 [binder, in hydras.Ackermann.subAll]
x:1780 [binder, in gaia_hydras.nfwfgaia]
x:1781 [binder, in gaia_hydras.nfwfgaia]
x:1787 [binder, in gaia_hydras.nfwfgaia]
x:179 [binder, in Goedel.PRrepresentable]
x:179 [binder, in hydras.Ackermann.fol]
x:1790 [binder, in gaia_hydras.nfwfgaia]
x:18 [binder, in gaia_hydras.T1Choice]
x:18 [binder, in hydras.solutions_exercises.MinPR2]
x:18 [binder, in additions.Euclidean_Chains]
x:18 [binder, in hydras.Ackermann.Deduction]
x:18 [binder, in hydras.Schutte.PartialFun]
x:18 [binder, in hydras.Prelude.MoreDecidable]
x:18 [binder, in hydras.Ackermann.NN]
x:18 [binder, in hydras.Schutte.Countable]
X:18 [binder, in hydras.Prelude.MoreVectors]
x:180 [binder, in hydras.Prelude.Iterates]
x:180 [binder, in hydras.Ackermann.fol]
x:181 [binder, in Goedel.PRrepresentable]
x:181 [binder, in hydras.Ackermann.subAll]
x:181 [binder, in hydras.Prelude.Iterates]
x:181 [binder, in hydras.Ackermann.fol]
X:182 [binder, in hydras.Prelude.MoreLists]
x:183 [binder, in Goedel.PRrepresentable]
x:183 [binder, in hydras.Prelude.Iterates]
x:183 [binder, in hydras.OrdinalNotations.ON_Generic]
x:184 [binder, in hydras.Ackermann.subAll]
x:184 [binder, in hydras.Ackermann.folProp]
x:1846 [binder, in gaia_hydras.nfwfgaia]
x:185 [binder, in Goedel.PRrepresentable]
x:185 [binder, in hydras.Ackermann.codeFreeVar]
x:186 [binder, in hydras.Ackermann.codeFreeVar]
X:186 [binder, in hydras.Prelude.MoreLists]
x:187 [binder, in Goedel.PRrepresentable]
x:187 [binder, in hydras.Ackermann.subAll]
x:1873 [binder, in gaia_hydras.nfwfgaia]
x:188 [binder, in hydras.Ackermann.model]
x:1882 [binder, in gaia_hydras.nfwfgaia]
x:189 [binder, in Goedel.PRrepresentable]
x:189 [binder, in hydras.Prelude.Iterates]
x:189 [binder, in hydras.Prelude.MoreLists]
x:1890 [binder, in gaia_hydras.nfwfgaia]
x:1891 [binder, in gaia_hydras.nfwfgaia]
x:1892 [binder, in gaia_hydras.nfwfgaia]
x:1896 [binder, in gaia_hydras.nfwfgaia]
x:1899 [binder, in gaia_hydras.nfwfgaia]
x:19 [binder, in additions.Compatibility]
x:19 [binder, in hydras.Prelude.Restriction]
x:19 [binder, in hydras.Schutte.GRelations]
x:19 [binder, in hydras.solutions_exercises.MorePRExamples]
x:19 [binder, in hydras.Prelude.MoreOrders]
x:19 [binder, in hydras.Ackermann.Deduction]
x:19 [binder, in hydras.Ackermann.folLogic3]
x:19 [binder, in additions.Addition_Chains]
x:19 [binder, in hydras.Ackermann.NN]
x:190 [binder, in hydras.Ackermann.subAll]
x:190 [binder, in hydras.Prelude.MoreLists]
x:190 [binder, in hydras.Ackermann.model]
x:1904 [binder, in gaia_hydras.nfwfgaia]
x:1908 [binder, in gaia_hydras.nfwfgaia]
x:191 [binder, in Goedel.PRrepresentable]
x:191 [binder, in hydras.Ackermann.subAll]
x:1913 [binder, in gaia_hydras.nfwfgaia]
x:1917 [binder, in gaia_hydras.nfwfgaia]
x:192 [binder, in hydras.Ackermann.subAll]
x:1922 [binder, in gaia_hydras.nfwfgaia]
x:1928 [binder, in gaia_hydras.nfwfgaia]
x:193 [binder, in hydras.rpo.term]
x:193 [binder, in Goedel.PRrepresentable]
x:193 [binder, in hydras.Ackermann.subAll]
x:193 [binder, in hydras.Prelude.MoreLists]
x:1934 [binder, in gaia_hydras.nfwfgaia]
x:1938 [binder, in gaia_hydras.nfwfgaia]
x:194 [binder, in hydras.Ackermann.subAll]
x:194 [binder, in additions.Addition_Chains]
x:1943 [binder, in gaia_hydras.nfwfgaia]
x:1948 [binder, in gaia_hydras.nfwfgaia]
x:195 [binder, in Goedel.PRrepresentable]
x:195 [binder, in hydras.Ackermann.subAll]
x:1954 [binder, in gaia_hydras.nfwfgaia]
x:196 [binder, in hydras.Ackermann.subAll]
x:196 [binder, in hydras.Prelude.Iterates]
x:196 [binder, in hydras.OrdinalNotations.ON_Generic]
x:1960 [binder, in gaia_hydras.nfwfgaia]
x:197 [binder, in Goedel.PRrepresentable]
x:197 [binder, in additions.Addition_Chains]
x:1972 [binder, in gaia_hydras.nfwfgaia]
x:1978 [binder, in gaia_hydras.nfwfgaia]
x:198 [binder, in hydras.Ackermann.subAll]
x:1983 [binder, in gaia_hydras.nfwfgaia]
x:1988 [binder, in gaia_hydras.nfwfgaia]
x:199 [binder, in Goedel.PRrepresentable]
x:199 [binder, in hydras.Ackermann.codeFreeVar]
x:1994 [binder, in gaia_hydras.nfwfgaia]
x:1999 [binder, in gaia_hydras.nfwfgaia]
x:2 [binder, in hydras.MoreAck.AckNotPR]
x:2 [binder, in Goedel.rosserPA]
X:2 [binder, in hydras.Ackermann.Deduction]
x:2 [binder, in hydras.Prelude.MoreDecidable]
x:20 [binder, in hydras.Prelude.DecPreOrder_Instances]
x:20 [binder, in hydras.Prelude.Iterates]
x:20 [binder, in hydras.Ackermann.subProp]
x:20 [binder, in gaia_hydras.T1Bridge]
x:20 [binder, in hydras.Ackermann.Deduction]
X:20 [binder, in hydras.Schutte.Schutte_basics]
x:200 [binder, in hydras.Ackermann.subAll]
x:200 [binder, in hydras.Ackermann.codeFreeVar]
x:200 [binder, in gaia_hydras.nfwfgaia]
x:201 [binder, in Goedel.PRrepresentable]
x:201 [binder, in hydras.Ackermann.subAll]
x:201 [binder, in additions.Euclidean_Chains]
x:2010 [binder, in gaia_hydras.nfwfgaia]
x:2016 [binder, in gaia_hydras.nfwfgaia]
x:2017 [binder, in gaia_hydras.nfwfgaia]
x:2018 [binder, in gaia_hydras.nfwfgaia]
x:202 [binder, in hydras.Ackermann.subAll]
x:202 [binder, in hydras.Prelude.Iterates]
x:2020 [binder, in gaia_hydras.nfwfgaia]
x:203 [binder, in Goedel.PRrepresentable]
x:203 [binder, in hydras.Ackermann.subAll]
x:203 [binder, in hydras.Prelude.Iterates]
x:2033 [binder, in gaia_hydras.nfwfgaia]
x:2034 [binder, in gaia_hydras.nfwfgaia]
x:2035 [binder, in gaia_hydras.nfwfgaia]
x:204 [binder, in hydras.Ackermann.subAll]
x:204 [binder, in hydras.Prelude.MoreLists]
x:2040 [binder, in gaia_hydras.nfwfgaia]
x:2045 [binder, in gaia_hydras.nfwfgaia]
x:205 [binder, in Goedel.PRrepresentable]
x:205 [binder, in hydras.Ackermann.subAll]
x:2057 [binder, in gaia_hydras.nfwfgaia]
x:2058 [binder, in gaia_hydras.nfwfgaia]
x:206 [binder, in hydras.Ackermann.subAll]
x:206 [binder, in hydras.Prelude.Iterates]
x:2068 [binder, in gaia_hydras.nfwfgaia]
x:207 [binder, in Goedel.PRrepresentable]
x:2076 [binder, in gaia_hydras.nfwfgaia]
x:208 [binder, in hydras.Prelude.Iterates]
x:208 [binder, in hydras.Prelude.MoreLists]
x:2081 [binder, in gaia_hydras.nfwfgaia]
x:2089 [binder, in gaia_hydras.nfwfgaia]
x:209 [binder, in Goedel.PRrepresentable]
x:2095 [binder, in gaia_hydras.nfwfgaia]
x:2096 [binder, in gaia_hydras.nfwfgaia]
x:2098 [binder, in gaia_hydras.nfwfgaia]
x:21 [binder, in additions.AM]
x:21 [binder, in additions.Pow_variant]
x:21 [binder, in additions.Pow]
x:21 [binder, in hydras.Ackermann.Deduction]
x:21 [binder, in hydras.Schutte.Schutte_basics]
x:21 [binder, in hydras.OrdinalNotations.ON_Generic]
x:21 [binder, in hydras.Ackermann.folLogic3]
x:21 [binder, in hydras.MoreAck.FolExamples]
x:2100 [binder, in gaia_hydras.nfwfgaia]
x:2103 [binder, in gaia_hydras.nfwfgaia]
x:2104 [binder, in gaia_hydras.nfwfgaia]
x:2106 [binder, in gaia_hydras.nfwfgaia]
x:211 [binder, in Goedel.PRrepresentable]
x:213 [binder, in Goedel.PRrepresentable]
x:214 [binder, in hydras.Prelude.MoreLists]
x:214 [binder, in hydras.Ackermann.model]
x:214 [binder, in additions.Euclidean_Chains]
x:215 [binder, in Goedel.PRrepresentable]
x:216 [binder, in hydras.Ackermann.model]
x:216 [binder, in additions.Euclidean_Chains]
X:216 [binder, in hydras.Schutte.Schutte_basics]
x:217 [binder, in Goedel.PRrepresentable]
x:217 [binder, in hydras.Ackermann.cPair]
x:218 [binder, in hydras.Prelude.Merge_Sort]
x:218 [binder, in hydras.Schutte.Schutte_basics]
x:219 [binder, in Goedel.PRrepresentable]
x:219 [binder, in hydras.Ackermann.cPair]
x:22 [binder, in hydras.Prelude.DecPreOrder_Instances]
x:22 [binder, in hydras.Prelude.Iterates]
x:22 [binder, in hydras.Prelude.MoreLists]
x:22 [binder, in additions.Compatibility]
x:22 [binder, in hydras.Prelude.Restriction]
x:22 [binder, in Goedel.rosserPA]
x:22 [binder, in hydras.Ackermann.fol]
x:22 [binder, in hydras.Schutte.Well_Orders]
x:22 [binder, in hydras.Ackermann.folLogic3]
x:22 [binder, in hydras.Schutte.Ordering_Functions]
x:22 [binder, in Goedel.rosser]
x:22 [binder, in hydras.Schutte.Countable]
x:220 [binder, in hydras.Prelude.Merge_Sort]
x:220 [binder, in hydras.Schutte.Schutte_basics]
x:221 [binder, in Goedel.PRrepresentable]
x:221 [binder, in hydras.Prelude.Iterates]
x:222 [binder, in hydras.Prelude.Merge_Sort]
x:222 [binder, in hydras.Schutte.Schutte_basics]
x:223 [binder, in hydras.Ackermann.cPair]
x:223 [binder, in hydras.Schutte.Schutte_basics]
x:224 [binder, in hydras.Prelude.Iterates]
x:224 [binder, in hydras.Prelude.Merge_Sort]
x:225 [binder, in Goedel.PRrepresentable]
x:225 [binder, in hydras.Prelude.Iterates]
x:225 [binder, in hydras.Schutte.Schutte_basics]
x:226 [binder, in hydras.Prelude.Merge_Sort]
x:227 [binder, in hydras.Ackermann.cPair]
X:227 [binder, in hydras.Schutte.Schutte_basics]
x:228 [binder, in hydras.Prelude.Iterates]
x:228 [binder, in hydras.Prelude.Merge_Sort]
X:228 [binder, in hydras.Schutte.Schutte_basics]
x:229 [binder, in hydras.Ackermann.codePA]
x:23 [binder, in hydras.Ackermann.folProp]
x:23 [binder, in gaia_hydras.T1Bridge]
x:23 [binder, in Goedel.rosserPA]
x:23 [binder, in additions.Euclidean_Chains]
x:23 [binder, in hydras.OrdinalNotations.ON_Generic]
x:23 [binder, in hydras.Ackermann.NN]
x:23 [binder, in hydras.MoreAck.FolExamples]
x:230 [binder, in hydras.Prelude.Merge_Sort]
x:230 [binder, in hydras.Ackermann.codePA]
x:231 [binder, in hydras.Ackermann.cPair]
x:232 [binder, in Goedel.PRrepresentable]
x:232 [binder, in hydras.Prelude.Merge_Sort]
x:234 [binder, in hydras.Prelude.Merge_Sort]
x:235 [binder, in additions.AM]
x:235 [binder, in hydras.Ackermann.folProp]
x:236 [binder, in hydras.Prelude.Merge_Sort]
x:237 [binder, in hydras.Ackermann.folProp]
x:238 [binder, in hydras.Prelude.Merge_Sort]
x:239 [binder, in hydras.Ackermann.folProp]
x:24 [binder, in additions.Compatibility]
x:24 [binder, in hydras.Prelude.Sort_spec]
x:24 [binder, in hydras.Ackermann.subProp]
x:24 [binder, in hydras.Schutte.Countable]
x:241 [binder, in hydras.Ackermann.folProp]
x:242 [binder, in additions.AM]
x:243 [binder, in hydras.Ackermann.folProp]
x:245 [binder, in hydras.Ackermann.subAll]
x:245 [binder, in hydras.Ackermann.folProp]
x:245 [binder, in additions.Addition_Chains]
x:246 [binder, in hydras.Ackermann.subAll]
x:247 [binder, in hydras.Ackermann.folProp]
x:248 [binder, in hydras.Ackermann.cPair]
x:248 [binder, in additions.Addition_Chains]
x:249 [binder, in Goedel.PRrepresentable]
x:25 [binder, in hydras.Prelude.Restriction]
x:25 [binder, in Goedel.fixPoint]
x:25 [binder, in hydras.Ackermann.cPair]
x:25 [binder, in hydras.Schutte.Well_Orders]
x:25 [binder, in additions.Addition_Chains]
x:25 [binder, in hydras.Ackermann.NN]
x:25 [binder, in hydras.MoreAck.FolExamples]
x:250 [binder, in hydras.Ackermann.cPair]
x:250 [binder, in gaia_hydras.nfwfgaia]
x:251 [binder, in Goedel.PRrepresentable]
x:251 [binder, in additions.Addition_Chains]
x:253 [binder, in Goedel.PRrepresentable]
x:254 [binder, in hydras.Ackermann.cPair]
x:255 [binder, in Goedel.PRrepresentable]
x:256 [binder, in hydras.Ackermann.cPair]
x:257 [binder, in Goedel.PRrepresentable]
x:258 [binder, in hydras.Ackermann.cPair]
x:258 [binder, in additions.Addition_Chains]
x:259 [binder, in Goedel.PRrepresentable]
x:259 [binder, in hydras.Ackermann.subAll]
x:259 [binder, in additions.Addition_Chains]
x:26 [binder, in hydras.Ackermann.folProp]
x:26 [binder, in hydras.MoreAck.AckNotPR]
x:26 [binder, in hydras.Schutte.Critical]
x:26 [binder, in hydras.Epsilon0.F_omega]
x:26 [binder, in hydras.Prelude.MoreOrders]
x:26 [binder, in Goedel.rosserPA]
x:26 [binder, in hydras.OrdinalNotations.ON_Finite]
x:26 [binder, in Goedel.rosser]
x:260 [binder, in hydras.Ackermann.subAll]
x:261 [binder, in hydras.Ackermann.subAll]
x:261 [binder, in hydras.Ackermann.cPair]
x:261 [binder, in additions.Addition_Chains]
x:262 [binder, in hydras.Ackermann.subAll]
x:263 [binder, in hydras.Ackermann.subAll]
x:263 [binder, in hydras.Ackermann.folProp]
x:264 [binder, in Goedel.PRrepresentable]
x:266 [binder, in hydras.Ackermann.subAll]
x:267 [binder, in hydras.Ackermann.subAll]
x:268 [binder, in Goedel.PRrepresentable]
x:268 [binder, in hydras.Ackermann.subAll]
x:269 [binder, in hydras.Ackermann.subAll]
x:27 [binder, in hydras.Prelude.MoreLists]
x:27 [binder, in hydras.Prelude.Sort_spec]
x:27 [binder, in additions.More_on_positive]
x:27 [binder, in gaia_hydras.T1Bridge]
x:27 [binder, in hydras.Ackermann.cPair]
x:27 [binder, in hydras.Ackermann.fol]
x:27 [binder, in hydras.Ackermann.NN]
x:270 [binder, in hydras.Ackermann.subAll]
X:270 [binder, in additions.Euclidean_Chains]
x:270 [binder, in gaia_hydras.nfwfgaia]
x:271 [binder, in hydras.Ackermann.subAll]
x:271 [binder, in gaia_hydras.nfwfgaia]
x:272 [binder, in hydras.Ackermann.subAll]
x:272 [binder, in additions.Addition_Chains]
x:273 [binder, in hydras.Ackermann.subAll]
x:274 [binder, in hydras.Ackermann.subAll]
x:274 [binder, in additions.Addition_Chains]
x:275 [binder, in Goedel.PRrepresentable]
x:275 [binder, in hydras.Ackermann.subAll]
x:276 [binder, in hydras.Ackermann.subAll]
X:276 [binder, in additions.Euclidean_Chains]
x:276 [binder, in gaia_hydras.nfwfgaia]
x:277 [binder, in hydras.Ackermann.subAll]
x:278 [binder, in hydras.Ackermann.subAll]
x:279 [binder, in hydras.Ackermann.subAll]
x:28 [binder, in additions.Pow_variant]
x:28 [binder, in additions.Pow]
x:28 [binder, in hydras.Ackermann.subProp]
x:28 [binder, in hydras.Ackermann.PA]
x:28 [binder, in additions.Monoid_def]
X:28 [binder, in hydras.Schutte.Schutte_basics]
x:28 [binder, in hydras.OrdinalNotations.ON_Generic]
x:28 [binder, in hydras.Schutte.Well_Orders]
x:28 [binder, in hydras.Ackermann.NN]
x:280 [binder, in hydras.Ackermann.subAll]
x:280 [binder, in hydras.Ackermann.folProp]
x:281 [binder, in hydras.Ackermann.subAll]
x:281 [binder, in gaia_hydras.nfwfgaia]
x:284 [binder, in hydras.Ackermann.folProp]
x:285 [binder, in gaia_hydras.nfwfgaia]
x:286 [binder, in hydras.Ackermann.folProp]
x:287 [binder, in gaia_hydras.nfwfgaia]
x:288 [binder, in hydras.Ackermann.folProp]
x:288 [binder, in hydras.Ackermann.fol]
x:289 [binder, in hydras.Ackermann.fol]
x:29 [binder, in Goedel.fixPoint]
x:29 [binder, in hydras.Ackermann.folProp]
x:29 [binder, in additions.More_on_positive]
x:29 [binder, in hydras.MoreAck.AckNotPR]
x:29 [binder, in hydras.Epsilon0.Large_Sets]
x:29 [binder, in hydras.Schutte.Critical]
x:29 [binder, in hydras.Epsilon0.F_omega]
x:29 [binder, in hydras.Ackermann.cPair]
x:29 [binder, in hydras.Ackermann.fol]
X:29 [binder, in hydras.Prelude.MoreVectors]
x:290 [binder, in hydras.rpo.term]
x:290 [binder, in hydras.Ackermann.folProp]
x:292 [binder, in hydras.Ackermann.subAll]
x:292 [binder, in hydras.Ackermann.folProp]
x:293 [binder, in hydras.Ackermann.subAll]
x:293 [binder, in additions.Addition_Chains]
x:294 [binder, in hydras.Ackermann.folProp]
x:297 [binder, in gaia_hydras.nfwfgaia]
x:3 [binder, in Goedel.PRrepresentable]
x:3 [binder, in hydras.Ackermann.PAconsistent]
x:3 [binder, in hydras.Ackermann.LNN]
x:3 [binder, in hydras.Ackermann.LNT]
x:3 [binder, in hydras.MoreAck.Iterate_compat]
x:30 [binder, in Goedel.PRrepresentable]
x:30 [binder, in hydras.Prelude.Restriction]
x:30 [binder, in hydras.Ackermann.folProp]
x:30 [binder, in gaia_hydras.T1Bridge]
x:30 [binder, in hydras.Ackermann.PA]
x:30 [binder, in additions.Monoid_instances]
X:30 [binder, in hydras.Schutte.Schutte_basics]
x:300 [binder, in gaia_hydras.nfwfgaia]
x:301 [binder, in Goedel.PRrepresentable]
x:301 [binder, in hydras.Ackermann.subAll]
x:302 [binder, in hydras.Ackermann.subAll]
x:302 [binder, in gaia_hydras.nfwfgaia]
x:303 [binder, in hydras.Ackermann.subAll]
x:304 [binder, in hydras.Ackermann.subAll]
x:305 [binder, in hydras.Ackermann.subAll]
x:306 [binder, in hydras.Ackermann.subAll]
x:307 [binder, in hydras.Ackermann.subAll]
x:308 [binder, in hydras.Ackermann.subAll]
x:309 [binder, in hydras.Ackermann.subAll]
x:31 [binder, in hydras.Schutte.Critical]
x:31 [binder, in hydras.solutions_exercises.MultisetWf]
x:31 [binder, in hydras.Epsilon0.F_omega]
x:31 [binder, in hydras.Ackermann.cPair]
x:31 [binder, in hydras.Schutte.Well_Orders]
x:310 [binder, in hydras.Ackermann.subAll]
x:311 [binder, in hydras.Ackermann.subAll]
x:311 [binder, in gaia_hydras.nfwfgaia]
x:312 [binder, in hydras.Ackermann.subAll]
x:313 [binder, in hydras.Ackermann.subAll]
x:314 [binder, in gaia_hydras.nfwfgaia]
x:315 [binder, in gaia_hydras.nfwfgaia]
x:316 [binder, in gaia_hydras.nfwfgaia]
x:317 [binder, in gaia_hydras.nfwfgaia]
x:318 [binder, in hydras.Ackermann.subAll]
x:318 [binder, in gaia_hydras.nfwfgaia]
x:319 [binder, in gaia_hydras.nfwfgaia]
x:32 [binder, in hydras.Ackermann.folLogic2]
x:32 [binder, in hydras.Ackermann.PA]
x:32 [binder, in hydras.Prelude.MoreOrders]
x:32 [binder, in additions.Monoid_def]
x:32 [binder, in additions.Monoid_instances]
x:32 [binder, in additions.fib]
x:32 [binder, in hydras.Ackermann.NN]
x:320 [binder, in gaia_hydras.nfwfgaia]
x:322 [binder, in gaia_hydras.nfwfgaia]
x:323 [binder, in hydras.Ackermann.subAll]
x:324 [binder, in hydras.Ackermann.subAll]
x:324 [binder, in gaia_hydras.nfwfgaia]
x:325 [binder, in hydras.Ackermann.subAll]
x:326 [binder, in hydras.Ackermann.subAll]
x:327 [binder, in hydras.Ackermann.subAll]
x:328 [binder, in hydras.Ackermann.subAll]
x:329 [binder, in gaia_hydras.nfwfgaia]
x:33 [binder, in hydras.Ackermann.subProp]
x:33 [binder, in hydras.Epsilon0.F_omega]
x:33 [binder, in hydras.Ackermann.PA]
x:33 [binder, in Goedel.rosserPA]
x:33 [binder, in hydras.Ackermann.fol]
x:33 [binder, in additions.fib]
X:33 [binder, in hydras.Schutte.Well_Orders]
x:33 [binder, in Goedel.rosser]
x:330 [binder, in hydras.Ackermann.subAll]
x:330 [binder, in gaia_hydras.nfwfgaia]
x:332 [binder, in gaia_hydras.nfwfgaia]
x:333 [binder, in hydras.Ackermann.subAll]
x:333 [binder, in hydras.Ackermann.fol]
x:334 [binder, in hydras.Ackermann.fol]
x:335 [binder, in hydras.Ackermann.fol]
x:339 [binder, in gaia_hydras.nfwfgaia]
x:34 [binder, in Goedel.PRrepresentable]
x:34 [binder, in additions.Pow_variant]
x:34 [binder, in additions.Pow]
x:34 [binder, in hydras.Epsilon0.Large_Sets]
x:34 [binder, in hydras.Schutte.Critical]
x:34 [binder, in additions.Monoid_def]
x:34 [binder, in additions.Monoid_instances]
x:34 [binder, in hydras.Ackermann.NN]
x:34 [binder, in Goedel.rosser]
x:34 [binder, in gaia_hydras.nfwfgaia]
x:341 [binder, in gaia_hydras.nfwfgaia]
x:342 [binder, in gaia_hydras.nfwfgaia]
x:343 [binder, in gaia_hydras.nfwfgaia]
x:345 [binder, in gaia_hydras.nfwfgaia]
x:347 [binder, in gaia_hydras.nfwfgaia]
x:349 [binder, in hydras.Ackermann.primRec]
x:349 [binder, in gaia_hydras.nfwfgaia]
x:35 [binder, in hydras.Prelude.Sort_spec]
x:35 [binder, in hydras.Epsilon0.F_omega]
x:35 [binder, in hydras.Prelude.MoreOrders]
x:351 [binder, in gaia_hydras.nfwfgaia]
x:353 [binder, in hydras.Ackermann.primRec]
x:354 [binder, in hydras.Ackermann.subAll]
x:355 [binder, in hydras.Ackermann.subAll]
x:358 [binder, in hydras.Ackermann.primRec]
x:36 [binder, in hydras.Ackermann.folLogic2]
x:36 [binder, in hydras.Schutte.Critical]
x:36 [binder, in hydras.Ackermann.fol]
X:36 [binder, in hydras.Schutte.Well_Orders]
x:36 [binder, in hydras.Ackermann.NN]
x:360 [binder, in hydras.Ackermann.subAll]
x:361 [binder, in hydras.Ackermann.subAll]
x:361 [binder, in hydras.Ackermann.primRec]
x:362 [binder, in hydras.Ackermann.subAll]
x:363 [binder, in hydras.Ackermann.subAll]
x:365 [binder, in hydras.Ackermann.subAll]
x:365 [binder, in gaia_hydras.nfwfgaia]
x:366 [binder, in hydras.Ackermann.subAll]
x:366 [binder, in hydras.Ackermann.primRec]
x:368 [binder, in hydras.Ackermann.subAll]
x:37 [binder, in hydras.Prelude.Restriction]
x:37 [binder, in additions.FirstSteps]
x:37 [binder, in hydras.Ackermann.PA]
x:37 [binder, in additions.Monoid_instances]
X:37 [binder, in hydras.Schutte.Schutte_basics]
x:37 [binder, in additions.fib]
x:37 [binder, in hydras.Ackermann.NN]
x:370 [binder, in gaia_hydras.nfwfgaia]
x:372 [binder, in hydras.Ackermann.primRec]
x:374 [binder, in hydras.Ackermann.subAll]
x:375 [binder, in hydras.Ackermann.subAll]
x:376 [binder, in Goedel.PRrepresentable]
x:377 [binder, in hydras.Ackermann.subAll]
x:378 [binder, in Goedel.PRrepresentable]
x:378 [binder, in hydras.Ackermann.subAll]
x:378 [binder, in hydras.Ackermann.fol]
x:378 [binder, in gaia_hydras.nfwfgaia]
x:379 [binder, in hydras.Ackermann.primRec]
x:379 [binder, in hydras.Ackermann.fol]
x:379 [binder, in gaia_hydras.nfwfgaia]
x:38 [binder, in hydras.Prelude.MoreLists]
x:38 [binder, in hydras.Ackermann.subProp]
x:38 [binder, in Goedel.rosserPA]
x:38 [binder, in additions.Monoid_instances]
x:38 [binder, in gaia_hydras.nfwfgaia]
x:380 [binder, in Goedel.PRrepresentable]
x:380 [binder, in hydras.Ackermann.subAll]
x:382 [binder, in Goedel.PRrepresentable]
x:382 [binder, in gaia_hydras.nfwfgaia]
x:383 [binder, in hydras.Ackermann.primRec]
x:383 [binder, in gaia_hydras.nfwfgaia]
x:389 [binder, in hydras.Ackermann.primRec]
x:389 [binder, in gaia_hydras.nfwfgaia]
x:39 [binder, in hydras.Ackermann.PA]
x:39 [binder, in hydras.Prelude.MoreOrders]
x:39 [binder, in hydras.Ackermann.fol]
x:39 [binder, in gaia_hydras.nfwfgaia]
x:392 [binder, in gaia_hydras.nfwfgaia]
x:396 [binder, in hydras.Ackermann.primRec]
x:399 [binder, in gaia_hydras.nfwfgaia]
x:4 [binder, in hydras.Prelude.Iterates]
x:4 [binder, in hydras.Ackermann.NN2PA]
x:4 [binder, in additions.FirstSteps]
X:4 [binder, in hydras.Schutte.Lub]
x:4 [binder, in hydras.Ackermann.Deduction]
x:4 [binder, in gaia_hydras.onType]
x:4 [binder, in hydras.Ackermann.wConsistent]
x:4 [binder, in hydras.MoreAck.PrimRecExamples]
x:40 [binder, in additions.AM]
x:40 [binder, in hydras.Prelude.MoreLists]
x:40 [binder, in additions.Compatibility]
x:40 [binder, in hydras.Schutte.Critical]
x:40 [binder, in gaia_hydras.T1Bridge]
x:40 [binder, in hydras.Ackermann.primRec]
x:40 [binder, in hydras.OrdinalNotations.ON_Generic]
X:40 [binder, in hydras.Schutte.Well_Orders]
x:40 [binder, in hydras.Ackermann.NN]
x:401 [binder, in hydras.Ackermann.folProp]
x:403 [binder, in hydras.Ackermann.primRec]
x:41 [binder, in additions.Compatibility]
x:41 [binder, in hydras.Ackermann.PA]
x:41 [binder, in hydras.Prelude.MoreOrders]
x:41 [binder, in Goedel.rosserPA]
x:41 [binder, in hydras.Ackermann.primRec]
x:41 [binder, in hydras.Schutte.Ordering_Functions]
x:411 [binder, in hydras.Epsilon0.T1]
x:411 [binder, in hydras.Ackermann.primRec]
x:415 [binder, in hydras.Ackermann.primRec]
x:42 [binder, in hydras.Prelude.Iterates]
x:42 [binder, in hydras.Ackermann.model]
x:42 [binder, in hydras.Ackermann.PA]
x:42 [binder, in hydras.Ackermann.NN]
x:42 [binder, in hydras.Schutte.Ordering_Functions]
X:42 [binder, in hydras.MoreAck.FolExamples]
x:423 [binder, in hydras.Ackermann.fol]
x:426 [binder, in hydras.Ackermann.fol]
x:428 [binder, in hydras.Ackermann.primRec]
x:429 [binder, in hydras.Ackermann.folProp]
x:43 [binder, in additions.FirstSteps]
x:43 [binder, in hydras.Ackermann.subProp]
x:43 [binder, in hydras.OrdinalNotations.ON_Generic]
X:43 [binder, in hydras.Schutte.Well_Orders]
x:434 [binder, in hydras.Ackermann.folProp]
x:434 [binder, in hydras.Ackermann.primRec]
x:434 [binder, in gaia_hydras.nfwfgaia]
x:435 [binder, in gaia_hydras.nfwfgaia]
x:438 [binder, in hydras.Gamma0.Gamma0]
x:44 [binder, in additions.Compatibility]
x:44 [binder, in hydras.Prelude.Restriction]
x:44 [binder, in additions.Pow_variant]
x:44 [binder, in additions.Pow]
x:44 [binder, in hydras.Prelude.Sort_spec]
x:44 [binder, in hydras.Schutte.Well_Orders]
x:44 [binder, in hydras.Ackermann.NN]
x:440 [binder, in hydras.Ackermann.folProp]
x:440 [binder, in hydras.Gamma0.Gamma0]
x:442 [binder, in hydras.Ackermann.primRec]
x:443 [binder, in hydras.Gamma0.Gamma0]
x:448 [binder, in hydras.Gamma0.Gamma0]
x:45 [binder, in hydras.Ackermann.NN]
x:450 [binder, in hydras.Ackermann.primRec]
x:455 [binder, in hydras.Ackermann.primRec]
x:46 [binder, in hydras.Prelude.MoreLists]
x:46 [binder, in hydras.Ackermann.folProp]
x:46 [binder, in hydras.Ackermann.PA]
x:46 [binder, in hydras.OrdinalNotations.ON_Generic]
x:46 [binder, in hydras.MoreAck.FolExamples]
x:463 [binder, in hydras.Ackermann.primRec]
x:468 [binder, in hydras.Ackermann.primRec]
x:47 [binder, in hydras.Ackermann.model]
x:47 [binder, in hydras.Ackermann.subProp]
x:47 [binder, in hydras.Schutte.Critical]
x:47 [binder, in gaia_hydras.T1Bridge]
X:47 [binder, in hydras.Schutte.Well_Orders]
x:472 [binder, in hydras.Ackermann.primRec]
x:473 [binder, in additions.Euclidean_Chains]
x:475 [binder, in additions.Euclidean_Chains]
x:476 [binder, in hydras.Ackermann.primRec]
x:477 [binder, in additions.Euclidean_Chains]
x:479 [binder, in additions.Euclidean_Chains]
x:48 [binder, in additions.AM]
x:48 [binder, in hydras.Ackermann.folProp]
x:48 [binder, in hydras.Ackermann.PA]
x:480 [binder, in additions.Euclidean_Chains]
x:484 [binder, in hydras.Ackermann.primRec]
x:489 [binder, in hydras.Ackermann.primRec]
X:49 [binder, in hydras.Schutte.Schutte_basics]
x:49 [binder, in hydras.MoreAck.PrimRecExamples]
x:494 [binder, in hydras.Ackermann.primRec]
x:499 [binder, in hydras.Ackermann.primRec]
x:5 [binder, in hydras.solutions_exercises.MinPR2]
x:5 [binder, in hydras.Ackermann.PAconsistent]
x:5 [binder, in additions.Compatibility]
x:5 [binder, in hydras.Ackermann.LNN]
x:5 [binder, in hydras.Ackermann.LNT]
x:5 [binder, in hydras.MoreAck.AckNotPR]
x:5 [binder, in hydras.Ackermann.subProp]
x:5 [binder, in additions.Euclidean_Chains]
x:5 [binder, in additions.Naive]
X:5 [binder, in hydras.Ackermann.Deduction]
x:5 [binder, in hydras.Prelude.STDPP_compat]
X:5 [binder, in hydras.Schutte.Well_Orders]
x:5 [binder, in additions.Addition_Chains]
x:5 [binder, in hydras.Ackermann.NN]
x:5 [binder, in hydras.rpo.closure]
x:5 [binder, in hydras.Ackermann.Languages]
x:50 [binder, in hydras.Ackermann.PA]
X:50 [binder, in hydras.Schutte.Schutte_basics]
x:500 [binder, in gaia_hydras.nfwfgaia]
x:503 [binder, in hydras.Ackermann.primRec]
x:503 [binder, in gaia_hydras.nfwfgaia]
x:506 [binder, in gaia_hydras.nfwfgaia]
x:507 [binder, in gaia_hydras.nfwfgaia]
x:509 [binder, in gaia_hydras.nfwfgaia]
x:51 [binder, in hydras.Ackermann.model]
x:51 [binder, in hydras.Ackermann.subProp]
x:51 [binder, in hydras.Ackermann.PA]
x:515 [binder, in gaia_hydras.nfwfgaia]
x:52 [binder, in hydras.Ackermann.folProp]
x:520 [binder, in gaia_hydras.nfwfgaia]
x:525 [binder, in gaia_hydras.nfwfgaia]
x:528 [binder, in gaia_hydras.nfwfgaia]
x:53 [binder, in additions.Pow_variant]
x:53 [binder, in additions.Pow]
x:532 [binder, in gaia_hydras.nfwfgaia]
x:535 [binder, in gaia_hydras.nfwfgaia]
x:536 [binder, in gaia_hydras.nfwfgaia]
x:537 [binder, in gaia_hydras.nfwfgaia]
x:538 [binder, in gaia_hydras.nfwfgaia]
x:539 [binder, in gaia_hydras.nfwfgaia]
x:54 [binder, in hydras.Ackermann.fol]
x:54 [binder, in hydras.MoreAck.PrimRecExamples]
x:540 [binder, in gaia_hydras.nfwfgaia]
x:541 [binder, in gaia_hydras.nfwfgaia]
x:547 [binder, in gaia_hydras.nfwfgaia]
x:55 [binder, in hydras.Ackermann.model]
X:55 [binder, in hydras.Schutte.Well_Orders]
x:551 [binder, in gaia_hydras.nfwfgaia]
x:554 [binder, in gaia_hydras.nfwfgaia]
x:56 [binder, in hydras.Ackermann.subProp]
x:56 [binder, in Goedel.rosserPA]
x:569 [binder, in hydras.Ackermann.primRec]
x:57 [binder, in hydras.MoreAck.AckNotPR]
x:57 [binder, in hydras.Ackermann.fol]
x:57 [binder, in hydras.MoreAck.PrimRecExamples]
x:570 [binder, in hydras.Ackermann.primRec]
x:570 [binder, in gaia_hydras.nfwfgaia]
x:571 [binder, in hydras.Ackermann.primRec]
x:572 [binder, in hydras.Ackermann.primRec]
x:573 [binder, in hydras.Ackermann.primRec]
x:573 [binder, in gaia_hydras.nfwfgaia]
x:574 [binder, in hydras.Ackermann.primRec]
x:575 [binder, in hydras.Ackermann.primRec]
x:576 [binder, in hydras.Ackermann.primRec]
x:577 [binder, in gaia_hydras.nfwfgaia]
x:583 [binder, in gaia_hydras.nfwfgaia]
x:584 [binder, in hydras.Ackermann.primRec]
x:584 [binder, in gaia_hydras.nfwfgaia]
x:585 [binder, in hydras.Ackermann.primRec]
x:586 [binder, in gaia_hydras.nfwfgaia]
x:588 [binder, in gaia_hydras.nfwfgaia]
x:59 [binder, in hydras.Ackermann.model]
x:59 [binder, in hydras.Ackermann.fol]
x:59 [binder, in hydras.OrdinalNotations.ON_Generic]
x:59 [binder, in Goedel.rosser]
x:591 [binder, in gaia_hydras.nfwfgaia]
x:592 [binder, in gaia_hydras.nfwfgaia]
x:594 [binder, in gaia_hydras.nfwfgaia]
x:6 [binder, in Goedel.PRrepresentable]
x:6 [binder, in hydras.Prelude.DecPreOrder_Instances]
x:6 [binder, in hydras.Prelude.More_Arith]
x:6 [binder, in hydras.Ackermann.LNN]
x:6 [binder, in additions.Pow_variant]
x:6 [binder, in hydras.Schutte.Lub]
x:6 [binder, in additions.Pow]
x:6 [binder, in hydras.Schutte.Critical]
x:6 [binder, in hydras.Prelude.MoreOrders]
x:60 [binder, in hydras.Ackermann.fol]
X:60 [binder, in hydras.Schutte.Well_Orders]
x:60 [binder, in Goedel.rosser]
x:605 [binder, in gaia_hydras.nfwfgaia]
x:606 [binder, in gaia_hydras.nfwfgaia]
x:607 [binder, in gaia_hydras.nfwfgaia]
x:608 [binder, in hydras.Gamma0.Gamma0]
x:61 [binder, in additions.Pow_variant]
x:61 [binder, in additions.Pow]
x:61 [binder, in hydras.Ackermann.subProp]
x:61 [binder, in hydras.Schutte.PartialFun]
x:61 [binder, in hydras.MoreAck.PrimRecExamples]
x:611 [binder, in hydras.Gamma0.Gamma0]
x:612 [binder, in gaia_hydras.nfwfgaia]
x:616 [binder, in gaia_hydras.nfwfgaia]
x:617 [binder, in gaia_hydras.nfwfgaia]
x:618 [binder, in gaia_hydras.nfwfgaia]
x:619 [binder, in gaia_hydras.nfwfgaia]
x:62 [binder, in hydras.Ackermann.folProp]
x:621 [binder, in gaia_hydras.nfwfgaia]
x:623 [binder, in gaia_hydras.nfwfgaia]
x:63 [binder, in hydras.Prelude.Fuel]
x:63 [binder, in Goedel.rosserPA]
x:63 [binder, in hydras.Schutte.PartialFun]
x:636 [binder, in gaia_hydras.nfwfgaia]
x:64 [binder, in additions.Pow_variant]
x:64 [binder, in additions.Pow]
x:64 [binder, in Goedel.rosserPA]
x:64 [binder, in gaia_hydras.nfwfgaia]
x:644 [binder, in gaia_hydras.nfwfgaia]
x:647 [binder, in gaia_hydras.nfwfgaia]
x:65 [binder, in hydras.Epsilon0.Epsilon0rpo]
x:65 [binder, in hydras.Ackermann.model]
x:653 [binder, in gaia_hydras.nfwfgaia]
x:655 [binder, in hydras.Ackermann.primRec]
x:655 [binder, in gaia_hydras.nfwfgaia]
x:657 [binder, in gaia_hydras.nfwfgaia]
x:66 [binder, in additions.AM]
x:66 [binder, in hydras.Ackermann.subProp]
x:66 [binder, in hydras.Ackermann.primRec]
x:66 [binder, in gaia_hydras.nfwfgaia]
x:661 [binder, in hydras.Ackermann.primRec]
x:668 [binder, in hydras.Ackermann.primRec]
x:669 [binder, in hydras.Ackermann.primRec]
x:67 [binder, in hydras.Epsilon0.Epsilon0rpo]
x:67 [binder, in additions.Pow_variant]
x:67 [binder, in additions.Pow]
x:67 [binder, in hydras.Schutte.Critical]
x:67 [binder, in additions.Monoid_def]
x:673 [binder, in hydras.Ackermann.primRec]
x:673 [binder, in gaia_hydras.nfwfgaia]
x:674 [binder, in gaia_hydras.nfwfgaia]
x:675 [binder, in hydras.Ackermann.primRec]
x:677 [binder, in gaia_hydras.nfwfgaia]
x:678 [binder, in gaia_hydras.nfwfgaia]
x:68 [binder, in hydras.Prelude.MoreLists]
x:68 [binder, in hydras.Schutte.Critical]
x:68 [binder, in hydras.Ackermann.fol]
x:68 [binder, in Goedel.rosser]
x:681 [binder, in gaia_hydras.nfwfgaia]
x:684 [binder, in gaia_hydras.nfwfgaia]
x:685 [binder, in gaia_hydras.nfwfgaia]
x:69 [binder, in hydras.Prelude.MoreLists]
x:69 [binder, in additions.Pow_variant]
x:69 [binder, in hydras.Ackermann.model]
x:69 [binder, in additions.Pow]
x:69 [binder, in hydras.Schutte.Critical]
x:690 [binder, in gaia_hydras.nfwfgaia]
x:699 [binder, in gaia_hydras.nfwfgaia]
x:7 [binder, in hydras.rpo.more_list]
x:7 [binder, in hydras.Ackermann.LNT]
x:7 [binder, in hydras.Ackermann.cPair]
x:7 [binder, in additions.Naive]
x:7 [binder, in hydras.Prelude.MoreDecidable]
x:7 [binder, in hydras.Schutte.Well_Orders]
x:7 [binder, in hydras.Ackermann.folLogic3]
x:7 [binder, in hydras.Ackermann.wConsistent]
x:7 [binder, in hydras.Ackermann.NN]
x:7 [binder, in hydras.rpo.closure]
x:7 [binder, in hydras.Ackermann.Languages]
x:7 [binder, in hydras.Schutte.Countable]
x:70 [binder, in hydras.Prelude.MoreLists]
x:70 [binder, in hydras.Ackermann.subProp]
x:70 [binder, in hydras.Schutte.Critical]
x:706 [binder, in hydras.Gamma0.Gamma0]
x:708 [binder, in hydras.Ackermann.primRec]
x:708 [binder, in hydras.Gamma0.Gamma0]
x:709 [binder, in gaia_hydras.nfwfgaia]
x:71 [binder, in hydras.Prelude.Iterates]
x:71 [binder, in hydras.Epsilon0.Epsilon0rpo]
x:713 [binder, in hydras.Ackermann.primRec]
x:72 [binder, in additions.Pow_variant]
x:72 [binder, in additions.Pow]
x:72 [binder, in hydras.MoreAck.PrimRecExamples]
x:728 [binder, in hydras.Epsilon0.T1]
x:73 [binder, in additions.Pow_variant]
x:73 [binder, in hydras.Ackermann.folLogic3]
x:73 [binder, in Goedel.rosser]
x:735 [binder, in gaia_hydras.nfwfgaia]
x:74 [binder, in hydras.OrdinalNotations.ON_Omega2]
x:74 [binder, in hydras.Ackermann.subProp]
x:74 [binder, in hydras.Hydra.BigBattle]
x:74 [binder, in hydras.Ackermann.folLogic3]
x:75 [binder, in hydras.Prelude.Iterates]
x:75 [binder, in hydras.Epsilon0.Epsilon0rpo]
x:75 [binder, in additions.Pow]
x:75 [binder, in hydras.Epsilon0.Hessenberg]
x:75 [binder, in additions.Monoid_def]
x:75 [binder, in hydras.Ackermann.fol]
x:75 [binder, in hydras.Schutte.PartialFun]
x:76 [binder, in additions.Pow]
x:76 [binder, in additions.Addition_Chains]
x:762 [binder, in gaia_hydras.nfwfgaia]
x:763 [binder, in gaia_hydras.nfwfgaia]
x:766 [binder, in gaia_hydras.nfwfgaia]
x:768 [binder, in gaia_hydras.nfwfgaia]
x:77 [binder, in additions.AM]
x:77 [binder, in additions.Pow_variant]
x:77 [binder, in hydras.MoreAck.AckNotPR]
x:77 [binder, in hydras.Schutte.PartialFun]
x:77 [binder, in hydras.MoreAck.PrimRecExamples]
x:770 [binder, in gaia_hydras.nfwfgaia]
x:771 [binder, in gaia_hydras.nfwfgaia]
x:773 [binder, in gaia_hydras.nfwfgaia]
x:774 [binder, in gaia_hydras.nfwfgaia]
x:778 [binder, in gaia_hydras.nfwfgaia]
x:782 [binder, in gaia_hydras.nfwfgaia]
x:79 [binder, in hydras.Prelude.Iterates]
x:79 [binder, in additions.Pow_variant]
x:79 [binder, in hydras.Ackermann.subProp]
x:794 [binder, in gaia_hydras.nfwfgaia]
x:797 [binder, in gaia_hydras.nfwfgaia]
x:8 [binder, in hydras.Prelude.WfVariant]
x:8 [binder, in additions.FirstSteps]
x:8 [binder, in hydras.Ackermann.LNN]
x:8 [binder, in additions.Wf_transparent]
x:8 [binder, in hydras.Ackermann.wConsistent]
x:80 [binder, in additions.Pow_variant]
x:80 [binder, in additions.Pow]
x:80 [binder, in hydras.Ackermann.fol]
x:80 [binder, in hydras.MoreAck.PrimRecExamples]
x:81 [binder, in hydras.MoreAck.AckNotPR]
x:813 [binder, in gaia_hydras.nfwfgaia]
x:816 [binder, in gaia_hydras.nfwfgaia]
x:817 [binder, in hydras.Ackermann.primRec]
x:818 [binder, in hydras.Ackermann.primRec]
x:819 [binder, in gaia_hydras.nfwfgaia]
x:82 [binder, in additions.Pow_variant]
x:82 [binder, in additions.Pow]
x:823 [binder, in gaia_hydras.nfwfgaia]
x:826 [binder, in gaia_hydras.nfwfgaia]
x:829 [binder, in gaia_hydras.nfwfgaia]
x:83 [binder, in hydras.Prelude.Iterates]
x:83 [binder, in hydras.Ackermann.folLogic3]
x:83 [binder, in hydras.Prelude.MoreVectors]
x:831 [binder, in gaia_hydras.nfwfgaia]
x:837 [binder, in gaia_hydras.nfwfgaia]
x:84 [binder, in additions.Pow_variant]
x:84 [binder, in additions.Pow]
x:84 [binder, in hydras.Ackermann.subProp]
x:84 [binder, in hydras.Ackermann.folLogic3]
x:85 [binder, in hydras.Ackermann.fol]
x:857 [binder, in gaia_hydras.nfwfgaia]
x:86 [binder, in hydras.Prelude.Iterates]
x:86 [binder, in additions.Pow_variant]
x:86 [binder, in additions.Pow]
x:86 [binder, in hydras.MoreAck.AckNotPR]
x:86 [binder, in hydras.MoreAck.PrimRecExamples]
x:87 [binder, in additions.AM]
x:87 [binder, in hydras.Ackermann.fol]
x:87 [binder, in additions.fib]
x:875 [binder, in gaia_hydras.nfwfgaia]
x:88 [binder, in additions.Pow]
x:88 [binder, in hydras.Epsilon0.Large_Sets]
x:883 [binder, in gaia_hydras.nfwfgaia]
x:887 [binder, in gaia_hydras.nfwfgaia]
x:889 [binder, in gaia_hydras.nfwfgaia]
x:89 [binder, in additions.Pow_variant]
x:89 [binder, in additions.Pow]
x:89 [binder, in hydras.Ackermann.subProp]
x:89 [binder, in Goedel.rosserPA]
x:89 [binder, in hydras.Ackermann.fol]
x:89 [binder, in additions.fib]
x:892 [binder, in gaia_hydras.nfwfgaia]
x:9 [binder, in Goedel.PRrepresentable]
x:9 [binder, in hydras.Ackermann.LNT]
x:9 [binder, in hydras.Ackermann.cPair]
x:9 [binder, in gaia_hydras.onType]
x:9 [binder, in hydras.Schutte.Well_Orders]
x:9 [binder, in hydras.Ackermann.folLogic3]
x:9 [binder, in additions.Addition_Chains]
x:9 [binder, in hydras.Ackermann.NN]
x:90 [binder, in additions.Pow_variant]
x:90 [binder, in Goedel.rosserPA]
x:90 [binder, in gaia_hydras.nfwfgaia]
x:91 [binder, in additions.Pow_variant]
x:918 [binder, in gaia_hydras.nfwfgaia]
x:919 [binder, in gaia_hydras.nfwfgaia]
x:92 [binder, in additions.Pow]
x:920 [binder, in gaia_hydras.nfwfgaia]
x:921 [binder, in gaia_hydras.nfwfgaia]
x:922 [binder, in gaia_hydras.nfwfgaia]
x:93 [binder, in hydras.Ackermann.subProp]
x:93 [binder, in hydras.MoreAck.PrimRecExamples]
x:933 [binder, in gaia_hydras.nfwfgaia]
x:934 [binder, in gaia_hydras.nfwfgaia]
x:935 [binder, in gaia_hydras.nfwfgaia]
x:94 [binder, in hydras.Ackermann.model]
x:94 [binder, in additions.Euclidean_Chains]
x:94 [binder, in gaia_hydras.nfwfgaia]
x:95 [binder, in additions.Pow]
x:95 [binder, in additions.fib]
x:95 [binder, in gaia_hydras.nfwfgaia]
x:96 [binder, in hydras.Ackermann.model]
x:96 [binder, in hydras.MoreAck.PrimRecExamples]
x:97 [binder, in additions.Addition_Chains]
x:97 [binder, in hydras.Prelude.MoreVectors]
x:98 [binder, in additions.Pow_variant]
x:98 [binder, in hydras.Ackermann.model]
x:98 [binder, in additions.Pow]
x:98 [binder, in hydras.MoreAck.AckNotPR]
X:98 [binder, in hydras.Schutte.Schutte_basics]
x:98 [binder, in hydras.Schutte.Ordering_Functions]
x:982 [binder, in gaia_hydras.nfwfgaia]
x:99 [binder, in hydras.Ackermann.model]
x:99 [binder, in additions.Pow]
x:99 [binder, in hydras.MoreAck.AckNotPR]
x:99 [binder, in hydras.Ackermann.cPair]
x:992 [binder, in gaia_hydras.nfwfgaia]

Y

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y0:274 [binder, in additions.Euclidean_Chains]
y0:278 [binder, in additions.Euclidean_Chains]
y0:280 [binder, in additions.Euclidean_Chains]
y:10 [binder, in Goedel.PRrepresentable]
y:10 [binder, in hydras.Ackermann.LNT]
y:10 [binder, in additions.Wf_transparent]
y:10 [binder, in hydras.Ackermann.cPair]
y:10 [binder, in hydras.Schutte.Well_Orders]
y:10 [binder, in additions.Addition_Chains]
y:100 [binder, in hydras.Ackermann.folProp]
y:100 [binder, in hydras.MoreAck.AckNotPR]
y:101 [binder, in hydras.Schutte.Ordering_Functions]
y:101 [binder, in hydras.Prelude.MoreVectors]
y:102 [binder, in hydras.Ackermann.folProp]
y:103 [binder, in hydras.Schutte.Ordering_Functions]
y:103 [binder, in hydras.MoreAck.PrimRecExamples]
y:104 [binder, in hydras.Ackermann.folProp]
y:104 [binder, in hydras.MoreAck.AckNotPR]
y:104 [binder, in hydras.Ackermann.fol]
y:1040 [binder, in gaia_hydras.nfwfgaia]
y:105 [binder, in hydras.Schutte.Ordering_Functions]
y:105 [binder, in hydras.Prelude.MoreVectors]
y:106 [binder, in hydras.MoreAck.AckNotPR]
y:107 [binder, in additions.Euclidean_Chains]
y:1076 [binder, in gaia_hydras.nfwfgaia]
y:108 [binder, in additions.Pow]
y:108 [binder, in hydras.Ackermann.fol]
y:1088 [binder, in gaia_hydras.nfwfgaia]
y:1090 [binder, in gaia_hydras.nfwfgaia]
y:1092 [binder, in gaia_hydras.nfwfgaia]
y:1094 [binder, in gaia_hydras.nfwfgaia]
y:1096 [binder, in gaia_hydras.nfwfgaia]
y:11 [binder, in hydras.Ackermann.LNN]
y:11 [binder, in additions.Monoid_def]
y:11 [binder, in gaia_hydras.onType]
y:1115 [binder, in gaia_hydras.nfwfgaia]
y:112 [binder, in hydras.Ackermann.folProp]
y:1120 [binder, in gaia_hydras.nfwfgaia]
y:115 [binder, in hydras.Prelude.Iterates]
y:115 [binder, in hydras.Ackermann.folProp]
y:116 [binder, in additions.AM]
y:116 [binder, in hydras.Prelude.MoreLists]
y:116 [binder, in gaia_hydras.nfwfgaia]
y:117 [binder, in hydras.Ackermann.folProp]
y:118 [binder, in hydras.Prelude.Iterates]
y:118 [binder, in additions.Euclidean_Chains]
y:119 [binder, in hydras.OrdinalNotations.ON_Generic]
y:12 [binder, in hydras.Prelude.Restriction]
y:12 [binder, in hydras.Schutte.Lub]
y:12 [binder, in hydras.Prelude.Sort_spec]
y:12 [binder, in hydras.Ackermann.cPair]
y:12 [binder, in additions.Naive]
y:12 [binder, in hydras.Schutte.Schutte_basics]
y:12 [binder, in hydras.Prelude.LibHyps_Experiments]
y:120 [binder, in hydras.Ackermann.folProp]
y:1216 [binder, in gaia_hydras.nfwfgaia]
y:122 [binder, in hydras.Ackermann.folProp]
y:123 [binder, in gaia_hydras.nfwfgaia]
y:1230 [binder, in gaia_hydras.nfwfgaia]
y:124 [binder, in additions.Euclidean_Chains]
y:125 [binder, in hydras.Prelude.MoreLists]
y:125 [binder, in additions.Euclidean_Chains]
y:1251 [binder, in gaia_hydras.nfwfgaia]
y:126 [binder, in hydras.Ackermann.folProp]
y:126 [binder, in additions.Euclidean_Chains]
y:127 [binder, in hydras.Prelude.Merge_Sort]
y:127 [binder, in additions.Euclidean_Chains]
y:128 [binder, in additions.Euclidean_Chains]
y:129 [binder, in hydras.Prelude.Merge_Sort]
y:13 [binder, in Goedel.PRrepresentable]
y:13 [binder, in additions.Compatibility]
y:13 [binder, in hydras.solutions_exercises.MorePRExamples]
y:131 [binder, in hydras.Schutte.Schutte_basics]
y:132 [binder, in hydras.Schutte.Schutte_basics]
y:1326 [binder, in gaia_hydras.nfwfgaia]
y:134 [binder, in hydras.Schutte.Schutte_basics]
y:135 [binder, in hydras.Prelude.Merge_Sort]
y:136 [binder, in hydras.Ackermann.folProp]
y:136 [binder, in gaia_hydras.T1Bridge]
y:136 [binder, in hydras.Schutte.Schutte_basics]
y:137 [binder, in hydras.Prelude.Merge_Sort]
y:138 [binder, in hydras.Ackermann.folProp]
y:138 [binder, in gaia_hydras.T1Bridge]
y:1398 [binder, in gaia_hydras.nfwfgaia]
y:14 [binder, in hydras.Prelude.DecPreOrder_Instances]
y:14 [binder, in hydras.Ackermann.LNN]
y:14 [binder, in hydras.Ackermann.cPair]
y:14 [binder, in additions.Euclidean_Chains]
y:140 [binder, in hydras.Ackermann.folProp]
y:1406 [binder, in gaia_hydras.nfwfgaia]
y:141 [binder, in hydras.Prelude.Merge_Sort]
y:1410 [binder, in gaia_hydras.nfwfgaia]
y:1412 [binder, in gaia_hydras.nfwfgaia]
y:1415 [binder, in gaia_hydras.nfwfgaia]
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y:145 [binder, in hydras.Prelude.Merge_Sort]
y:145 [binder, in additions.Euclidean_Chains]
y:1456 [binder, in gaia_hydras.nfwfgaia]
y:147 [binder, in gaia_hydras.T1Bridge]
y:148 [binder, in hydras.Prelude.MoreLists]
y:1487 [binder, in gaia_hydras.nfwfgaia]
y:149 [binder, in hydras.Prelude.Merge_Sort]
y:149 [binder, in gaia_hydras.T1Bridge]
y:149 [binder, in gaia_hydras.nfwfgaia]
y:15 [binder, in gaia_hydras.T1Choice]
y:15 [binder, in hydras.Prelude.MoreOrders]
y:150 [binder, in hydras.Schutte.Schutte_basics]
y:153 [binder, in hydras.Prelude.Merge_Sort]
y:155 [binder, in hydras.Prelude.Merge_Sort]
Y:156 [binder, in hydras.Schutte.Schutte_basics]
y:157 [binder, in hydras.Ackermann.folProp]
y:158 [binder, in hydras.Schutte.Schutte_basics]
y:158 [binder, in hydras.OrdinalNotations.ON_Generic]
y:159 [binder, in hydras.Ackermann.folProp]
y:16 [binder, in hydras.Ackermann.cPair]
y:16 [binder, in gaia_hydras.ON_gfinite]
y:16 [binder, in hydras.Schutte.Schutte_basics]
y:160 [binder, in hydras.Prelude.Merge_Sort]
Y:160 [binder, in hydras.Schutte.Schutte_basics]
y:161 [binder, in hydras.Ackermann.folProp]
y:162 [binder, in hydras.Schutte.Schutte_basics]
y:163 [binder, in hydras.Ackermann.folProp]
y:164 [binder, in hydras.Prelude.Merge_Sort]
y:165 [binder, in hydras.Ackermann.folProp]
y:1657 [binder, in gaia_hydras.nfwfgaia]
y:1659 [binder, in gaia_hydras.nfwfgaia]
y:167 [binder, in hydras.Ackermann.folProp]
y:168 [binder, in hydras.Prelude.Merge_Sort]
y:169 [binder, in hydras.Prelude.MoreLists]
y:169 [binder, in hydras.Ackermann.folProp]
y:169 [binder, in hydras.Schutte.Schutte_basics]
y:17 [binder, in Goedel.PRrepresentable]
y:17 [binder, in gaia_hydras.T1Choice]
y:17 [binder, in hydras.Schutte.Critical]
y:17 [binder, in gaia_hydras.T1Bridge]
y:17 [binder, in hydras.Prelude.STDPP_compat]
y:1717 [binder, in gaia_hydras.nfwfgaia]
y:1727 [binder, in gaia_hydras.nfwfgaia]
y:1729 [binder, in gaia_hydras.nfwfgaia]
y:1731 [binder, in gaia_hydras.nfwfgaia]
y:1733 [binder, in gaia_hydras.nfwfgaia]
y:1735 [binder, in gaia_hydras.nfwfgaia]
y:175 [binder, in hydras.Ackermann.folProp]
y:1757 [binder, in gaia_hydras.nfwfgaia]
y:176 [binder, in hydras.Ackermann.folProp]
y:176 [binder, in additions.Euclidean_Chains]
y:1762 [binder, in gaia_hydras.nfwfgaia]
y:18 [binder, in hydras.Ackermann.PA]
y:18 [binder, in hydras.Ackermann.cPair]
y:18 [binder, in gaia_hydras.ON_gfinite]
y:18 [binder, in hydras.OrdinalNotations.ON_Generic]
y:18 [binder, in gaia_hydras.onType]
y:182 [binder, in hydras.Ackermann.folProp]
y:183 [binder, in hydras.Ackermann.folProp]
y:185 [binder, in hydras.Ackermann.folProp]
y:1850 [binder, in gaia_hydras.nfwfgaia]
y:189 [binder, in hydras.Ackermann.model]
y:189 [binder, in hydras.Schutte.Schutte_basics]
y:19 [binder, in gaia_hydras.T1Choice]
y:19 [binder, in hydras.solutions_exercises.MinPR2]
y:190 [binder, in hydras.Prelude.Iterates]
y:1900 [binder, in gaia_hydras.nfwfgaia]
y:1905 [binder, in gaia_hydras.nfwfgaia]
y:1909 [binder, in gaia_hydras.nfwfgaia]
y:191 [binder, in hydras.Prelude.MoreLists]
y:191 [binder, in hydras.Ackermann.model]
y:191 [binder, in hydras.Ackermann.folProp]
y:1914 [binder, in gaia_hydras.nfwfgaia]
y:1918 [binder, in gaia_hydras.nfwfgaia]
y:192 [binder, in hydras.Ackermann.folProp]
y:1923 [binder, in gaia_hydras.nfwfgaia]
y:1929 [binder, in gaia_hydras.nfwfgaia]
y:1935 [binder, in gaia_hydras.nfwfgaia]
y:1939 [binder, in gaia_hydras.nfwfgaia]
y:194 [binder, in hydras.rpo.term]
y:194 [binder, in hydras.Prelude.MoreLists]
y:1944 [binder, in gaia_hydras.nfwfgaia]
y:1949 [binder, in gaia_hydras.nfwfgaia]
y:195 [binder, in hydras.Schutte.Schutte_basics]
y:1955 [binder, in gaia_hydras.nfwfgaia]
y:196 [binder, in hydras.Schutte.Schutte_basics]
y:1961 [binder, in gaia_hydras.nfwfgaia]
y:1967 [binder, in gaia_hydras.nfwfgaia]
y:197 [binder, in hydras.Prelude.Iterates]
y:197 [binder, in hydras.OrdinalNotations.ON_Generic]
y:1979 [binder, in gaia_hydras.nfwfgaia]
y:198 [binder, in hydras.Ackermann.folProp]
y:198 [binder, in additions.Addition_Chains]
y:1984 [binder, in gaia_hydras.nfwfgaia]
y:1989 [binder, in gaia_hydras.nfwfgaia]
y:199 [binder, in hydras.Ackermann.folProp]
y:1995 [binder, in gaia_hydras.nfwfgaia]
y:2 [binder, in hydras.Ackermann.LNN]
y:2 [binder, in hydras.Ackermann.LNT]
y:20 [binder, in hydras.Prelude.Restriction]
y:20 [binder, in hydras.Schutte.Critical]
y:20 [binder, in hydras.solutions_exercises.MorePRExamples]
y:2000 [binder, in gaia_hydras.nfwfgaia]
y:201 [binder, in hydras.Ackermann.folProp]
y:201 [binder, in gaia_hydras.nfwfgaia]
y:202 [binder, in additions.Euclidean_Chains]
y:205 [binder, in hydras.Prelude.MoreLists]
y:2056 [binder, in gaia_hydras.nfwfgaia]
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y:208 [binder, in hydras.Ackermann.folProp]
y:209 [binder, in hydras.Prelude.Iterates]
y:209 [binder, in hydras.Prelude.MoreLists]
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y:2093 [binder, in gaia_hydras.nfwfgaia]
y:2097 [binder, in gaia_hydras.nfwfgaia]
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y:21 [binder, in hydras.Prelude.DecPreOrder_Instances]
y:21 [binder, in hydras.Ackermann.PA]
y:21 [binder, in hydras.Prelude.MoreOrders]
y:210 [binder, in additions.Euclidean_Chains]
y:214 [binder, in hydras.Ackermann.folProp]
y:215 [binder, in hydras.Ackermann.model]
y:215 [binder, in hydras.Ackermann.folProp]
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y:217 [binder, in hydras.Ackermann.folProp]
y:217 [binder, in additions.Euclidean_Chains]
y:218 [binder, in hydras.Ackermann.cPair]
y:219 [binder, in hydras.Prelude.Merge_Sort]
y:22 [binder, in hydras.Schutte.GRelations]
y:22 [binder, in hydras.Schutte.Schutte_basics]
y:22 [binder, in hydras.OrdinalNotations.ON_Generic]
y:220 [binder, in hydras.Ackermann.cPair]
y:221 [binder, in hydras.Prelude.Merge_Sort]
y:223 [binder, in hydras.Ackermann.folProp]
y:223 [binder, in hydras.Prelude.Merge_Sort]
y:224 [binder, in hydras.Ackermann.folProp]
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y:224 [binder, in hydras.Schutte.Schutte_basics]
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y:229 [binder, in hydras.Prelude.Merge_Sort]
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y:23 [binder, in hydras.Prelude.Restriction]
y:23 [binder, in hydras.Schutte.Critical]
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Y:271 [binder, in additions.Euclidean_Chains]
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y:28 [binder, in additions.More_on_positive]
y:28 [binder, in hydras.Prelude.MoreOrders]
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y:29 [binder, in hydras.Schutte.Well_Orders]
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y:30 [binder, in hydras.Ackermann.fol]
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y:344 [binder, in gaia_hydras.nfwfgaia]
y:345 [binder, in hydras.Ackermann.folProp]
y:346 [binder, in gaia_hydras.nfwfgaia]
y:348 [binder, in gaia_hydras.nfwfgaia]
y:35 [binder, in additions.Monoid_instances]
y:350 [binder, in gaia_hydras.nfwfgaia]
y:351 [binder, in hydras.Ackermann.folProp]
y:352 [binder, in hydras.Ackermann.folProp]
y:352 [binder, in gaia_hydras.nfwfgaia]
y:358 [binder, in hydras.Ackermann.folProp]
y:359 [binder, in hydras.Ackermann.folProp]
y:36 [binder, in hydras.Prelude.Sort_spec]
y:36 [binder, in hydras.Epsilon0.F_omega]
y:36 [binder, in gaia_hydras.nfwfgaia]
y:361 [binder, in hydras.Ackermann.folProp]
y:362 [binder, in hydras.Ackermann.primRec]
y:366 [binder, in gaia_hydras.nfwfgaia]
y:367 [binder, in hydras.Ackermann.folProp]
y:367 [binder, in hydras.Ackermann.primRec]
y:368 [binder, in hydras.Ackermann.folProp]
y:37 [binder, in gaia_hydras.T1Bridge]
y:37 [binder, in gaia_hydras.nfwfgaia]
y:371 [binder, in gaia_hydras.nfwfgaia]
y:373 [binder, in hydras.Ackermann.primRec]
y:374 [binder, in hydras.Ackermann.folProp]
y:375 [binder, in hydras.Ackermann.folProp]
y:377 [binder, in Goedel.PRrepresentable]
y:377 [binder, in hydras.Ackermann.folProp]
y:379 [binder, in Goedel.PRrepresentable]
Y:38 [binder, in hydras.Schutte.Schutte_basics]
y:38 [binder, in additions.fib]
y:380 [binder, in hydras.Ackermann.primRec]
y:381 [binder, in Goedel.PRrepresentable]
y:383 [binder, in Goedel.PRrepresentable]
y:383 [binder, in hydras.Ackermann.folProp]
y:384 [binder, in hydras.Ackermann.folProp]
y:384 [binder, in hydras.Ackermann.primRec]
y:390 [binder, in hydras.Ackermann.folProp]
y:390 [binder, in hydras.Ackermann.primRec]
y:391 [binder, in hydras.Ackermann.folProp]
y:397 [binder, in hydras.Ackermann.primRec]
y:4 [binder, in Goedel.PRrepresentable]
y:4 [binder, in hydras.Ackermann.PAconsistent]
y:4 [binder, in hydras.Ackermann.LNN]
y:4 [binder, in hydras.Ackermann.LNT]
y:40 [binder, in hydras.Prelude.Restriction]
y:40 [binder, in gaia_hydras.nfwfgaia]
y:404 [binder, in hydras.Ackermann.primRec]
y:41 [binder, in hydras.OrdinalNotations.ON_Generic]
y:412 [binder, in hydras.Epsilon0.T1]
y:412 [binder, in hydras.Ackermann.primRec]
y:416 [binder, in hydras.Ackermann.primRec]
y:42 [binder, in additions.Compatibility]
y:429 [binder, in hydras.Ackermann.primRec]
y:435 [binder, in hydras.Ackermann.primRec]
y:439 [binder, in hydras.Gamma0.Gamma0]
y:441 [binder, in hydras.Gamma0.Gamma0]
y:443 [binder, in hydras.Ackermann.primRec]
y:444 [binder, in hydras.Gamma0.Gamma0]
y:449 [binder, in hydras.Gamma0.Gamma0]
y:45 [binder, in hydras.Prelude.Sort_spec]
y:45 [binder, in hydras.OrdinalNotations.ON_Generic]
y:451 [binder, in hydras.Ackermann.primRec]
y:456 [binder, in hydras.Ackermann.primRec]
y:464 [binder, in hydras.Ackermann.primRec]
y:469 [binder, in hydras.Ackermann.primRec]
y:473 [binder, in hydras.Ackermann.primRec]
y:477 [binder, in hydras.Ackermann.primRec]
y:48 [binder, in gaia_hydras.T1Bridge]
Y:48 [binder, in hydras.Schutte.Well_Orders]
y:485 [binder, in hydras.Ackermann.primRec]
y:49 [binder, in additions.AM]
y:490 [binder, in hydras.Ackermann.primRec]
y:495 [binder, in hydras.Ackermann.primRec]
y:5 [binder, in gaia_hydras.onType]
y:5 [binder, in hydras.MoreAck.PrimRecExamples]
y:500 [binder, in hydras.Ackermann.primRec]
y:504 [binder, in hydras.Ackermann.primRec]
y:510 [binder, in gaia_hydras.nfwfgaia]
y:517 [binder, in gaia_hydras.nfwfgaia]
y:522 [binder, in gaia_hydras.nfwfgaia]
y:552 [binder, in gaia_hydras.nfwfgaia]
y:555 [binder, in gaia_hydras.nfwfgaia]
y:579 [binder, in gaia_hydras.nfwfgaia]
y:58 [binder, in hydras.MoreAck.PrimRecExamples]
y:581 [binder, in gaia_hydras.nfwfgaia]
y:585 [binder, in gaia_hydras.nfwfgaia]
y:59 [binder, in hydras.Ackermann.cPair]
y:6 [binder, in hydras.solutions_exercises.MinPR2]
y:6 [binder, in hydras.Ackermann.PAconsistent]
y:6 [binder, in additions.Compatibility]
y:6 [binder, in hydras.MoreAck.AckNotPR]
y:6 [binder, in additions.Euclidean_Chains]
y:6 [binder, in hydras.Prelude.STDPP_compat]
y:6 [binder, in additions.Addition_Chains]
y:6 [binder, in hydras.rpo.closure]
y:60 [binder, in hydras.MoreAck.AckNotPR]
y:60 [binder, in hydras.Schutte.PartialFun]
y:60 [binder, in hydras.OrdinalNotations.ON_Generic]
y:609 [binder, in hydras.Gamma0.Gamma0]
y:61 [binder, in hydras.Ackermann.fol]
y:610 [binder, in hydras.Gamma0.Gamma0]
y:613 [binder, in gaia_hydras.nfwfgaia]
y:62 [binder, in hydras.Schutte.Critical]
y:62 [binder, in hydras.MoreAck.PrimRecExamples]
y:622 [binder, in gaia_hydras.nfwfgaia]
y:624 [binder, in gaia_hydras.nfwfgaia]
y:63 [binder, in hydras.MoreAck.AckNotPR]
y:637 [binder, in gaia_hydras.nfwfgaia]
y:645 [binder, in gaia_hydras.nfwfgaia]
y:648 [binder, in gaia_hydras.nfwfgaia]
y:65 [binder, in hydras.Ackermann.cPair]
y:65 [binder, in gaia_hydras.nfwfgaia]
y:66 [binder, in hydras.Epsilon0.Epsilon0rpo]
y:662 [binder, in hydras.Ackermann.primRec]
y:669 [binder, in gaia_hydras.nfwfgaia]
y:67 [binder, in hydras.Ackermann.cPair]
y:676 [binder, in hydras.Ackermann.primRec]
y:68 [binder, in additions.AM]
y:68 [binder, in hydras.Epsilon0.Epsilon0rpo]
y:68 [binder, in additions.Monoid_def]
y:682 [binder, in gaia_hydras.nfwfgaia]
y:69 [binder, in hydras.Ackermann.cPair]
y:7 [binder, in Goedel.PRrepresentable]
y:7 [binder, in hydras.Prelude.DecPreOrder_Instances]
y:7 [binder, in hydras.Prelude.More_Arith]
y:7 [binder, in hydras.Ackermann.LNN]
y:7 [binder, in hydras.Prelude.MoreOrders]
y:700 [binder, in gaia_hydras.nfwfgaia]
y:707 [binder, in hydras.Gamma0.Gamma0]
y:709 [binder, in hydras.Gamma0.Gamma0]
y:71 [binder, in hydras.Ackermann.cPair]
y:710 [binder, in gaia_hydras.nfwfgaia]
y:72 [binder, in hydras.Epsilon0.Epsilon0rpo]
y:729 [binder, in hydras.Epsilon0.T1]
y:73 [binder, in hydras.Ackermann.cPair]
y:75 [binder, in hydras.Ackermann.folProp]
y:75 [binder, in hydras.Ackermann.cPair]
y:76 [binder, in hydras.Epsilon0.Epsilon0rpo]
y:76 [binder, in additions.Monoid_def]
y:76 [binder, in hydras.Schutte.PartialFun]
y:77 [binder, in hydras.Ackermann.cPair]
y:772 [binder, in gaia_hydras.nfwfgaia]
y:775 [binder, in gaia_hydras.nfwfgaia]
y:78 [binder, in hydras.Ackermann.folProp]
y:79 [binder, in hydras.Ackermann.cPair]
y:79 [binder, in hydras.Schutte.PartialFun]
y:8 [binder, in hydras.Ackermann.LNT]
y:8 [binder, in hydras.solutions_exercises.MorePRExamples]
y:8 [binder, in hydras.Ackermann.cPair]
y:8 [binder, in hydras.rpo.closure]
y:81 [binder, in hydras.Ackermann.folProp]
y:81 [binder, in hydras.MoreAck.PrimRecExamples]
y:817 [binder, in gaia_hydras.nfwfgaia]
y:82 [binder, in hydras.MoreAck.AckNotPR]
y:820 [binder, in gaia_hydras.nfwfgaia]
y:824 [binder, in gaia_hydras.nfwfgaia]
y:827 [binder, in gaia_hydras.nfwfgaia]
y:832 [binder, in gaia_hydras.nfwfgaia]
y:838 [binder, in gaia_hydras.nfwfgaia]
y:84 [binder, in hydras.Ackermann.folProp]
y:84 [binder, in additions.Euclidean_Chains]
y:84 [binder, in gaia_hydras.nfwfgaia]
y:85 [binder, in additions.Euclidean_Chains]
y:86 [binder, in hydras.Ackermann.cPair]
y:87 [binder, in hydras.Ackermann.folProp]
y:87 [binder, in hydras.MoreAck.AckNotPR]
y:87 [binder, in hydras.MoreAck.PrimRecExamples]
y:876 [binder, in gaia_hydras.nfwfgaia]
y:88 [binder, in hydras.Ackermann.cPair]
y:884 [binder, in gaia_hydras.nfwfgaia]
y:888 [binder, in gaia_hydras.nfwfgaia]
y:890 [binder, in gaia_hydras.nfwfgaia]
y:893 [binder, in gaia_hydras.nfwfgaia]
y:9 [binder, in hydras.Prelude.WfVariant]
y:9 [binder, in hydras.Ackermann.LNN]
y:9 [binder, in additions.Wf_transparent]
y:9 [binder, in hydras.Prelude.MoreOrders]
y:90 [binder, in hydras.Ackermann.cPair]
y:91 [binder, in hydras.Ackermann.folProp]
y:92 [binder, in hydras.Ackermann.cPair]
y:92 [binder, in gaia_hydras.nfwfgaia]
y:93 [binder, in gaia_hydras.nfwfgaia]
y:94 [binder, in hydras.Ackermann.cPair]
y:94 [binder, in hydras.Schutte.Ordering_Functions]
y:95 [binder, in additions.Euclidean_Chains]
y:95 [binder, in hydras.Schutte.Ordering_Functions]
y:96 [binder, in hydras.Ackermann.cPair]
y:96 [binder, in hydras.Schutte.Ordering_Functions]
y:96 [binder, in gaia_hydras.nfwfgaia]
y:97 [binder, in hydras.Ackermann.folProp]
y:97 [binder, in hydras.Ackermann.cPair]
y:97 [binder, in hydras.Schutte.Ordering_Functions]
y:97 [binder, in hydras.MoreAck.PrimRecExamples]
y:98 [binder, in hydras.Ackermann.cPair]
y:98 [binder, in additions.Addition_Chains]
y:98 [binder, in hydras.Prelude.MoreVectors]
y:983 [binder, in gaia_hydras.nfwfgaia]
y:99 [binder, in additions.Pow_variant]
y:99 [binder, in hydras.Schutte.Ordering_Functions]

Z

Z [module, in additions.Naive]
zero [constructor, in hydras.Epsilon0.T1]
zero [definition, in hydras.OrdinalNotations.ON_Omega2]
zero [constructor, in hydras.Gamma0.T2]
zero [definition, in hydras.Schutte.Schutte_basics]
Zero [abbreviation, in hydras.Epsilon0.E0]
zeroFormula [definition, in Goedel.PRrepresentable]
zeroFunc [constructor, in hydras.Ackermann.primRec]
ZeroLimitSucc_dec [definition, in hydras.OrdinalNotations.ON_Generic]
zeroRepresentable [lemma, in Goedel.PRrepresentable]
zero_limit_succ_dec [definition, in hydras.Epsilon0.T1]
zero_le [lemma, in hydras.Epsilon0.T1]
zero_nf [lemma, in hydras.Epsilon0.T1]
zero_lt [lemma, in hydras.Epsilon0.T1]
zero_lt [lemma, in hydras.Schutte.Correctness_E0]
zero_limit_succ_dec [definition, in hydras.OrdinalNotations.ON_Omega2]
Zero_limit_succ_dec [definition, in hydras.OrdinalNotations.ON_Omega2]
zero_le [lemma, in hydras.OrdinalNotations.ON_Omega2]
zero_lt_e0 [constructor, in hydras.Gamma0.T2]
zero_nf [constructor, in hydras.Gamma0.T2]
zero_finite [constructor, in hydras.Gamma0.T2]
zero_lt_beta [lemma, in hydras.Schutte.AP]
Zero_limit_succ_dec [definition, in hydras.OrdinalNotations.ON_Omega_plus_omega]
zero_ref [lemma, in gaia_hydras.T1Bridge]
zero_lt_omega [lemma, in hydras.Schutte.Schutte_basics]
zero_lt_succ [lemma, in hydras.Schutte.Schutte_basics]
zero_or_positive [lemma, in hydras.Schutte.Schutte_basics]
zero_or_greater [lemma, in hydras.Schutte.Schutte_basics]
zero_le [lemma, in hydras.Schutte.Schutte_basics]
Zero_limit_succ_dec [definition, in hydras.OrdinalNotations.ON_Finite]
Zero_limit_succ_dec [definition, in hydras.Epsilon0.E0]
Zero_Limit_Succ_dec [definition, in hydras.Epsilon0.E0]
Zero_limit_succ_dec [definition, in hydras.OrdinalNotations.ON_Omega]
zero_not_lim [lemma, in hydras.Gamma0.Gamma0]
zero_lt_succ [lemma, in hydras.Gamma0.Gamma0]
Zero_ [constructor, in hydras.Ackermann.Languages]
zero_plus_alpha [lemma, in hydras.Schutte.Addition]
Zfibt [definition, in additions.fib]
ZLS_dec [lemma, in hydras.OrdinalNotations.ON_Omega_plus_omega]
ZMult [instance, in additions.Monoid_instances]
ZMult_Abelian [instance, in additions.Monoid_instances]
ZtoR [definition, in additions.fib]
ZtoRD [lemma, in additions.fib]
ZtoRM [lemma, in additions.fib]
Z_le_TO [instance, in hydras.Prelude.DecPreOrder_Instances]
Z_le_dec [instance, in hydras.Prelude.DecPreOrder_Instances]
Z_pow_compat [lemma, in additions.Compatibility]
Z_pow_compat_pos [lemma, in additions.Compatibility]
Z_pow [definition, in additions.Compatibility]
Z_mult_op [instance, in additions.Monoid_instances]
z':2092 [binder, in gaia_hydras.nfwfgaia]
z':2102 [binder, in gaia_hydras.nfwfgaia]
z':580 [binder, in gaia_hydras.nfwfgaia]
z':590 [binder, in gaia_hydras.nfwfgaia]
Z.power [definition, in additions.Naive]
Z.power_of_plus [lemma, in additions.Naive]
Z.power_S [lemma, in additions.Naive]
z0:273 [binder, in additions.Euclidean_Chains]
z0:275 [binder, in additions.Euclidean_Chains]
z0:279 [binder, in additions.Euclidean_Chains]
z0:281 [binder, in additions.Euclidean_Chains]
z1:103 [binder, in hydras.Ackermann.codeSubFormula]
z1:105 [binder, in hydras.Ackermann.folProp]
z1:110 [binder, in hydras.Ackermann.codeSubFormula]
z1:127 [binder, in hydras.Ackermann.folProp]
z1:169 [binder, in hydras.Ackermann.fol]
z1:253 [binder, in hydras.Ackermann.fol]
z1:263 [binder, in hydras.Ackermann.fol]
z1:274 [binder, in hydras.Ackermann.fol]
z1:282 [binder, in hydras.Ackermann.fol]
z1:303 [binder, in hydras.Ackermann.fol]
z1:313 [binder, in hydras.Ackermann.fol]
z1:324 [binder, in hydras.Ackermann.fol]
z1:349 [binder, in hydras.Ackermann.fol]
z1:359 [binder, in hydras.Ackermann.fol]
z1:370 [binder, in hydras.Ackermann.fol]
z1:393 [binder, in hydras.Ackermann.fol]
z1:403 [binder, in hydras.Ackermann.fol]
z1:414 [binder, in hydras.Ackermann.fol]
z1:88 [binder, in hydras.Ackermann.folProp]
z1:95 [binder, in hydras.Ackermann.codeSubFormula]
z2:104 [binder, in hydras.Ackermann.codeSubFormula]
z2:106 [binder, in hydras.Ackermann.folProp]
z2:111 [binder, in hydras.Ackermann.codeSubFormula]
z2:128 [binder, in hydras.Ackermann.folProp]
z2:170 [binder, in hydras.Ackermann.fol]
z2:254 [binder, in hydras.Ackermann.fol]
z2:264 [binder, in hydras.Ackermann.fol]
z2:275 [binder, in hydras.Ackermann.fol]
z2:283 [binder, in hydras.Ackermann.fol]
z2:304 [binder, in hydras.Ackermann.fol]
z2:314 [binder, in hydras.Ackermann.fol]
z2:325 [binder, in hydras.Ackermann.fol]
z2:350 [binder, in hydras.Ackermann.fol]
z2:360 [binder, in hydras.Ackermann.fol]
z2:371 [binder, in hydras.Ackermann.fol]
z2:394 [binder, in hydras.Ackermann.fol]
z2:404 [binder, in hydras.Ackermann.fol]
z2:415 [binder, in hydras.Ackermann.fol]
z2:89 [binder, in hydras.Ackermann.folProp]
z2:96 [binder, in hydras.Ackermann.codeSubFormula]
z3:256 [binder, in hydras.Ackermann.fol]
z3:306 [binder, in hydras.Ackermann.fol]
z3:352 [binder, in hydras.Ackermann.fol]
z3:396 [binder, in hydras.Ackermann.fol]
z3:92 [binder, in hydras.Ackermann.folProp]
z3:98 [binder, in hydras.Ackermann.codeSubFormula]
z4:257 [binder, in hydras.Ackermann.fol]
z4:307 [binder, in hydras.Ackermann.fol]
z4:353 [binder, in hydras.Ackermann.fol]
z4:397 [binder, in hydras.Ackermann.fol]
z4:93 [binder, in hydras.Ackermann.folProp]
z4:99 [binder, in hydras.Ackermann.codeSubFormula]
z:1 [binder, in hydras.OrdinalNotations.Example_3PlusOmega]
z:100 [binder, in hydras.Epsilon0.Large_Sets]
z:101 [binder, in hydras.Epsilon0.Large_Sets]
z:102 [binder, in hydras.Epsilon0.Large_Sets]
z:103 [binder, in hydras.Prelude.Iterates]
z:106 [binder, in hydras.Schutte.Schutte_basics]
z:11 [binder, in Goedel.PRrepresentable]
z:11 [binder, in hydras.Prelude.MoreOrders]
z:11 [binder, in additions.Addition_Chains]
z:12 [binder, in additions.Monoid_def]
z:13 [binder, in hydras.Ackermann.Deduction]
z:133 [binder, in hydras.Schutte.Schutte_basics]
z:134 [binder, in hydras.Prelude.Iterates]
z:135 [binder, in hydras.Prelude.Iterates]
z:135 [binder, in hydras.Schutte.Schutte_basics]
z:136 [binder, in hydras.Prelude.Iterates]
z:137 [binder, in hydras.Prelude.Iterates]
z:138 [binder, in hydras.Prelude.Iterates]
z:139 [binder, in hydras.Prelude.Iterates]
z:140 [binder, in hydras.Prelude.Iterates]
z:144 [binder, in hydras.Prelude.Iterates]
z:145 [binder, in hydras.Prelude.Iterates]
z:146 [binder, in hydras.Prelude.Iterates]
z:146 [binder, in additions.Euclidean_Chains]
z:147 [binder, in hydras.Prelude.Iterates]
z:148 [binder, in hydras.Prelude.Iterates]
z:149 [binder, in hydras.Prelude.Iterates]
z:15 [binder, in Goedel.PRrepresentable]
z:150 [binder, in hydras.Prelude.Iterates]
z:16 [binder, in hydras.Prelude.MoreOrders]
z:16 [binder, in hydras.Ackermann.Deduction]
z:170 [binder, in hydras.Ackermann.cPair]
z:171 [binder, in hydras.Ackermann.cPair]
z:177 [binder, in additions.Euclidean_Chains]
z:182 [binder, in hydras.Ackermann.cPair]
z:183 [binder, in hydras.Ackermann.cPair]
z:184 [binder, in hydras.Ackermann.cPair]
z:185 [binder, in hydras.Ackermann.cPair]
z:186 [binder, in hydras.Ackermann.cPair]
z:187 [binder, in hydras.Ackermann.cPair]
z:19 [binder, in Goedel.PRrepresentable]
z:19 [binder, in gaia_hydras.onType]
z:1924 [binder, in gaia_hydras.nfwfgaia]
z:1930 [binder, in gaia_hydras.nfwfgaia]
z:1940 [binder, in gaia_hydras.nfwfgaia]
z:1945 [binder, in gaia_hydras.nfwfgaia]
z:1962 [binder, in gaia_hydras.nfwfgaia]
z:1973 [binder, in gaia_hydras.nfwfgaia]
z:1990 [binder, in gaia_hydras.nfwfgaia]
z:2 [binder, in Goedel.PRrepresentable]
z:2001 [binder, in gaia_hydras.nfwfgaia]
z:2087 [binder, in gaia_hydras.nfwfgaia]
z:2090 [binder, in gaia_hydras.nfwfgaia]
z:2101 [binder, in gaia_hydras.nfwfgaia]
z:23 [binder, in Goedel.PRrepresentable]
z:230 [binder, in additions.Euclidean_Chains]
z:231 [binder, in hydras.Schutte.Schutte_basics]
z:257 [binder, in additions.Euclidean_Chains]
z:26 [binder, in gaia_hydras.onType]
z:261 [binder, in additions.Euclidean_Chains]
z:265 [binder, in additions.Euclidean_Chains]
z:269 [binder, in additions.Euclidean_Chains]
z:27 [binder, in Goedel.PRrepresentable]
z:27 [binder, in hydras.Schutte.Well_Orders]
z:276 [binder, in Goedel.PRrepresentable]
z:283 [binder, in additions.Euclidean_Chains]
z:285 [binder, in additions.Euclidean_Chains]
z:287 [binder, in additions.Euclidean_Chains]
z:289 [binder, in additions.Euclidean_Chains]
z:30 [binder, in additions.Monoid_def]
z:30 [binder, in hydras.Schutte.Well_Orders]
z:341 [binder, in Goedel.PRrepresentable]
z:343 [binder, in Goedel.PRrepresentable]
z:346 [binder, in Goedel.PRrepresentable]
z:347 [binder, in Goedel.PRrepresentable]
z:348 [binder, in Goedel.PRrepresentable]
z:349 [binder, in Goedel.PRrepresentable]
z:35 [binder, in gaia_hydras.nfwfgaia]
z:36 [binder, in hydras.Prelude.MoreOrders]
z:36 [binder, in additions.Monoid_instances]
z:366 [binder, in Goedel.PRrepresentable]
z:367 [binder, in Goedel.PRrepresentable]
z:368 [binder, in Goedel.PRrepresentable]
z:369 [binder, in Goedel.PRrepresentable]
z:372 [binder, in Goedel.PRrepresentable]
z:373 [binder, in Goedel.PRrepresentable]
z:374 [binder, in Goedel.PRrepresentable]
z:375 [binder, in Goedel.PRrepresentable]
z:38 [binder, in gaia_hydras.T1Bridge]
z:385 [binder, in hydras.Ackermann.primRec]
z:391 [binder, in hydras.Ackermann.primRec]
z:398 [binder, in hydras.Ackermann.primRec]
z:402 [binder, in gaia_hydras.nfwfgaia]
z:403 [binder, in gaia_hydras.nfwfgaia]
z:404 [binder, in gaia_hydras.nfwfgaia]
z:405 [binder, in hydras.Ackermann.primRec]
z:405 [binder, in gaia_hydras.nfwfgaia]
z:406 [binder, in gaia_hydras.nfwfgaia]
z:413 [binder, in hydras.Ackermann.primRec]
z:417 [binder, in gaia_hydras.nfwfgaia]
z:418 [binder, in gaia_hydras.nfwfgaia]
z:419 [binder, in gaia_hydras.nfwfgaia]
z:420 [binder, in gaia_hydras.nfwfgaia]
z:421 [binder, in gaia_hydras.nfwfgaia]
Z:43 [binder, in hydras.Ackermann.code]
z:43 [binder, in hydras.Ackermann.fol]
z:454 [binder, in gaia_hydras.nfwfgaia]
z:455 [binder, in gaia_hydras.nfwfgaia]
z:456 [binder, in gaia_hydras.nfwfgaia]
z:46 [binder, in hydras.Ackermann.fol]
z:49 [binder, in hydras.Ackermann.fol]
z:5 [binder, in Goedel.PRrepresentable]
z:511 [binder, in gaia_hydras.nfwfgaia]
z:512 [binder, in gaia_hydras.nfwfgaia]
z:513 [binder, in gaia_hydras.nfwfgaia]
z:52 [binder, in hydras.Ackermann.fol]
z:57 [binder, in hydras.Schutte.Schutte_basics]
z:578 [binder, in gaia_hydras.nfwfgaia]
z:58 [binder, in hydras.Schutte.Schutte_basics]
z:589 [binder, in gaia_hydras.nfwfgaia]
z:62 [binder, in gaia_hydras.nfwfgaia]
z:625 [binder, in gaia_hydras.nfwfgaia]
z:63 [binder, in hydras.MoreAck.PrimRecExamples]
z:631 [binder, in gaia_hydras.nfwfgaia]
z:632 [binder, in gaia_hydras.nfwfgaia]
z:633 [binder, in gaia_hydras.nfwfgaia]
z:634 [binder, in gaia_hydras.nfwfgaia]
z:635 [binder, in gaia_hydras.nfwfgaia]
z:638 [binder, in gaia_hydras.nfwfgaia]
z:639 [binder, in gaia_hydras.nfwfgaia]
z:640 [binder, in gaia_hydras.nfwfgaia]
z:641 [binder, in gaia_hydras.nfwfgaia]
z:642 [binder, in gaia_hydras.nfwfgaia]
z:643 [binder, in gaia_hydras.nfwfgaia]
z:646 [binder, in gaia_hydras.nfwfgaia]
z:649 [binder, in gaia_hydras.nfwfgaia]
z:7 [binder, in hydras.MoreAck.AckNotPR]
z:7 [binder, in additions.Euclidean_Chains]
z:7 [binder, in hydras.Prelude.STDPP_compat]
z:730 [binder, in hydras.Epsilon0.T1]
z:741 [binder, in gaia_hydras.nfwfgaia]
z:742 [binder, in gaia_hydras.nfwfgaia]
z:743 [binder, in gaia_hydras.nfwfgaia]
z:744 [binder, in gaia_hydras.nfwfgaia]
z:796 [binder, in gaia_hydras.nfwfgaia]
z:798 [binder, in gaia_hydras.nfwfgaia]
z:8 [binder, in Goedel.PRrepresentable]
z:8 [binder, in additions.Addition_Chains]
z:801 [binder, in gaia_hydras.nfwfgaia]
z:804 [binder, in gaia_hydras.nfwfgaia]
z:808 [binder, in gaia_hydras.nfwfgaia]
z:812 [binder, in gaia_hydras.nfwfgaia]
z:818 [binder, in gaia_hydras.nfwfgaia]
z:821 [binder, in gaia_hydras.nfwfgaia]
z:825 [binder, in gaia_hydras.nfwfgaia]
z:828 [binder, in gaia_hydras.nfwfgaia]
z:833 [binder, in gaia_hydras.nfwfgaia]
z:86 [binder, in hydras.Ackermann.fol]
z:88 [binder, in hydras.Ackermann.fol]
z:9 [binder, in hydras.rpo.closure]
z:91 [binder, in hydras.Prelude.Iterates]
z:91 [binder, in gaia_hydras.nfwfgaia]
z:94 [binder, in hydras.Epsilon0.Large_Sets]
z:96 [binder, in hydras.Schutte.Schutte_basics]
z:97 [binder, in hydras.Prelude.Iterates]
z:97 [binder, in hydras.Epsilon0.Large_Sets]
z:97 [binder, in hydras.Schutte.Schutte_basics]
z:98 [binder, in hydras.Epsilon0.Large_Sets]
z:98 [binder, in hydras.Ackermann.fol]
z:98 [binder, in hydras.MoreAck.PrimRecExamples]
z:99 [binder, in hydras.Epsilon0.Large_Sets]
z:99 [binder, in hydras.Ackermann.fol]
z:99 [binder, in additions.Addition_Chains]

_

_phi0 [definition, in hydras.Schutte.AP]
_omega [definition, in hydras.Schutte.Schutte_basics]
_Omega [abbreviation, in hydras.Epsilon0.E0]
_f [definition, in hydras.Schutte.Ordering_Functions]
_A [definition, in hydras.Schutte.Ordering_Functions]

other

fol:_ <> _ [notation, in hydras.Ackermann.fol]
fol:_ = _ [notation, in hydras.Ackermann.fol]
fol:_ <-> _ [notation, in hydras.Ackermann.fol]
fol:_ -> _ [notation, in hydras.Ackermann.fol]
fol:_ ∧ _ [notation, in hydras.Ackermann.fol]
fol:_ ∨ _ [notation, in hydras.Ackermann.fol]
fol:( _ ) [notation, in hydras.Ackermann.fol]
fol:{ _ } [notation, in hydras.Ackermann.fol]
fol:~ _ [notation, in hydras.Ackermann.fol]
fol:∀ _ , _ [notation, in hydras.Ackermann.fol]
fol:∃ _ , _ [notation, in hydras.Ackermann.fol]
_ o+ _ (cantor_scope) [notation, in gaia_hydras.GHessenberg]
_ O+ _ (E0_scope) [notation, in hydras.Epsilon0.E0]
_ * _ (E0_scope) [notation, in hydras.Epsilon0.E0]
E0_omega^ (E0_scope) [notation, in hydras.Epsilon0.E0]
_ + _ (E0_scope) [notation, in hydras.Epsilon0.E0]
_ o<= _ (E0_scope) [notation, in hydras.Epsilon0.E0]
_ o< _ (E0_scope) [notation, in hydras.Epsilon0.E0]
_ ^ _ (M_scope) [notation, in additions.Pow_variant]
_ ^b _ (M_scope) [notation, in additions.Pow_variant]
_ ^ _ (M_scope) [notation, in additions.Pow_variant]
_ ^ _ (M_scope) [notation, in additions.Pow]
_ ^b _ (M_scope) [notation, in additions.Pow]
_ ^ _ (M_scope) [notation, in additions.Pow]
_ * _ (M_scope) [notation, in additions.Monoid_def]
_ .-4 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .-3 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .-2 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .-1 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .+5 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .+4 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .+3 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .+2 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ .+1 (nat_scope) [notation, in hydras.Prelude.ssrnat_extracts]
_ <->' _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ <->'' _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ /\' _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ \/' _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ * _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ + _ (nt_scope) [notation, in hydras.Ackermann.LNT]
allH _ .. _ , _ (nt_scope) [notation, in hydras.Ackermann.LNT]
exH _ .. _ , _ (nt_scope) [notation, in hydras.Ackermann.LNT]
v# _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ <> _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ = _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ <-> _ (nt_scope) [notation, in hydras.Ackermann.LNT]
~ _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ -> _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ /\ _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ \/ _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ = _ (nt_scope) [notation, in hydras.Ackermann.LNT]
_ * _ (ON_scope) [notation, in hydras.OrdinalNotations.ON_Omega2]
_ + _ (ON_scope) [notation, in hydras.OrdinalNotations.ON_Omega2]
_ o?= _ (ON_scope) [notation, in hydras.OrdinalNotations.ON_Generic]
_ o<= _ (ON_scope) [notation, in hydras.OrdinalNotations.ON_Generic]
_ o< _ (ON_scope) [notation, in hydras.OrdinalNotations.ON_Generic]
_ ^ _ (ppT1_scope) [notation, in hydras.Epsilon0.T1]
_ * _ (ppT1_scope) [notation, in hydras.Epsilon0.T1]
_ + _ (ppT1_scope) [notation, in hydras.Epsilon0.T1]
omega^ (schutte_scope) [notation, in hydras.Schutte.AP]
|_| _ (schutte_scope) [notation, in hydras.Schutte.Schutte_basics]
_ <= _ (schutte_scope) [notation, in hydras.Schutte.Schutte_basics]
_ < _ (schutte_scope) [notation, in hydras.Schutte.Schutte_basics]
_ * _ (schutte_scope) [notation, in hydras.Schutte.Addition]
_ + _ (schutte_scope) [notation, in hydras.Schutte.Addition]
_ == _ (type_scope) [notation, in additions.Monoid_def]
_ == _ (type_scope) [notation, in additions.Addition_Chains]
_ t1< _ t1< _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ t1<= _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ t1< _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ ^ _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ - _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ * _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ + _ (t1_scope) [notation, in hydras.Epsilon0.T1]
\F _ (t1_scope) [notation, in hydras.Epsilon0.T1]
_ t2<= _ (T2_scope) [notation, in hydras.Gamma0.T2]
_ t2< _ (T2_scope) [notation, in hydras.Gamma0.T2]
[ _ , _ ] (T2_scope) [notation, in hydras.Gamma0.T2]
_ + _ (T2_scope) [notation, in hydras.Gamma0.Gamma0]
_ <_phi0 _ [notation, in hydras.Epsilon0.T1]
_ < _ [notation, in gaia_hydras.T1Choice]
_ <= _ [notation, in gaia_hydras.T1Choice]
_ '<s' _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ <: _ [notation, in hydras.Prelude.DecPreOrder_Instances]
_ >>s _ [notation, in hydras.Prelude.Iterates]
_ >> _ [notation, in hydras.Prelude.Iterates]
_ <<= _ [notation, in hydras.Prelude.Iterates]
_ o+ _ [notation, in hydras.Epsilon0.Hessenberg]
_ =x= _ [notation, in hydras.Ackermann.primRec]
_ <--- _ times _ ; _ [notation, in additions.Addition_Chains]
_ -*-> _ [notation, in hydras.Hydra.Hydra_Definitions]
_ -+-> _ [notation, in hydras.Hydra.Hydra_Definitions]
_ -1-> _ [notation, in hydras.Hydra.Hydra_Definitions]
f[ _ ]f [notation, in hydras.Ackermann.fol]
SetAdds _ _ .. _ [notation, in hydras.Ackermann.NewNotations]
SetEnum _ _ .. _ [notation, in hydras.Ackermann.NewNotations]
v_apply _ _ [notation, in hydras.MoreAck.AckNotPR]
α [definition, in gaia_hydras.HydraGaia_Examples]
β [abbreviation, in Goedel.PRrepresentable]
β [definition, in gaia_hydras.HydraGaia_Examples]
βR [abbreviation, in Goedel.PRrepresentable]
ω [abbreviation, in hydras.Epsilon0.T1]

---

Notation Index

A

_ - _ (ak_scope) [in gaia_hydras.nfwfgaia]
_ + _ (ak_scope) [in gaia_hydras.nfwfgaia]
_ > _ (ak_scope) [in gaia_hydras.nfwfgaia]
_ >= _ (ak_scope) [in gaia_hydras.nfwfgaia]
_ <= _ (ak_scope) [in gaia_hydras.nfwfgaia]
_ < _ (ak_scope) [in gaia_hydras.nfwfgaia]
\F _ (ak_scope) [in gaia_hydras.nfwfgaia]
[ _ , _ , _ ] (ak_scope) [in gaia_hydras.nfwfgaia]
_ < _ (cantor_scope) [in gaia_hydras.nfwfgaia]

C

_ ^ _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ * _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ - _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ + _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ > _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ >= _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ <= _ (cantor_scope) [in gaia_hydras.nfwfgaia]
_ < _ (cantor_scope) [in gaia_hydras.nfwfgaia]
\F _ (cantor_scope) [in gaia_hydras.nfwfgaia]

D

_ ^ _ [in additions.FirstSteps]
_ * _ [in additions.FirstSteps]
1 [in additions.FirstSteps]
_ <= _ [in hydras.Prelude.MoreOrders]
_ < _ [in hydras.Prelude.MoreOrders]

F

_ <->' _ (fol_scope) [in hydras.Ackermann.fol]
_ <->'' _ (fol_scope) [in hydras.Ackermann.fol]
_ /\' _ (fol_scope) [in hydras.Ackermann.fol]
_ \/' _ (fol_scope) [in hydras.Ackermann.fol]
_ <> _ (fol_scope) [in hydras.Ackermann.fol]
_ = _ (fol_scope) [in hydras.Ackermann.fol]
allH _ .. _ , _ (fol_scope) [in hydras.Ackermann.fol]
exH _ .. _ , _ (fol_scope) [in hydras.Ackermann.fol]
v# _ (fol_scope) [in hydras.Ackermann.fol]
_ <-> _ (fol_scope) [in hydras.Ackermann.fol]
~ _ (fol_scope) [in hydras.Ackermann.fol]
_ -> _ (fol_scope) [in hydras.Ackermann.fol]
_ /\ _ (fol_scope) [in hydras.Ackermann.fol]
_ \/ _ (fol_scope) [in hydras.Ackermann.fol]
_ = _ (fol_scope) [in hydras.Ackermann.fol]

G

_ - _ (g0_scope) [in gaia_hydras.nfwfgaia]
_ + _ (g0_scope) [in gaia_hydras.nfwfgaia]
_ > _ (g0_scope) [in gaia_hydras.nfwfgaia]
_ >= _ (g0_scope) [in gaia_hydras.nfwfgaia]
_ <= _ (g0_scope) [in gaia_hydras.nfwfgaia]
_ < _ (g0_scope) [in gaia_hydras.nfwfgaia]
\F _ (g0_scope) [in gaia_hydras.nfwfgaia]
[ _ , _ ] (g0_scope) [in gaia_hydras.nfwfgaia]
_ <= _ [in hydras.Prelude.Merge_Sort]
omega^ (g0_scope) [in hydras.Gamma0.Gamma0]
_ + _ (g0_scope) [in hydras.Gamma0.Gamma0]

L

_ <lex _ [in hydras.Prelude.DecPreOrder_Instances]
_ <=lex _ [in hydras.Prelude.DecPreOrder_Instances]
_ =B= _ [in hydras.Prelude.DecPreOrder_Instances]
_ =A= _ [in hydras.Prelude.DecPreOrder_Instances]
_ <B _ [in hydras.Prelude.DecPreOrder_Instances]
_ <=B _ [in hydras.Prelude.DecPreOrder_Instances]
_ <A _ [in hydras.Prelude.DecPreOrder_Instances]
_ <=A _ [in hydras.Prelude.DecPreOrder_Instances]
_ * _ (lo_scope) [in hydras.OrdinalNotations.OmegaOmega]
_ + _ (lo_scope) [in hydras.OrdinalNotations.OmegaOmega]

M

_ * _ [in additions.Monoid_instances]
_ + _ [in additions.Monoid_instances]
1 [in additions.Monoid_instances]
0 [in additions.Monoid_instances]
_ ** _ [in additions.Naive]
_ * _ [in additions.Naive]
_ + _ [in additions.Naive]
0 [in additions.Naive]
1 [in additions.Naive]
_ * _ [in additions.FirstSteps]
_ + _ [in additions.FirstSteps]
1 [in additions.FirstSteps]
0 [in additions.FirstSteps]

N

fol:_ * _ [in hydras.Ackermann.LNN]
fol:_ + _ [in hydras.Ackermann.LNN]
_ < _ (fol_scope) [in hydras.Ackermann.LNN]
_ * _ (fol_scope) [in hydras.Ackermann.LNN]
_ + _ (fol_scope) [in hydras.Ackermann.LNN]

O

_ * _ (OO_scope) [in hydras.OrdinalNotations.OmegaOmega]
omega^ (OO_scope) [in hydras.OrdinalNotations.OmegaOmega]
_ * _ (OO_scope) [in hydras.OrdinalNotations.OmegaOmega]
_ + _ (OO_scope) [in hydras.OrdinalNotations.OmegaOmega]

P

[ _ ; _ ; .. ; _ ] (pr_scope) [in hydras.Ackermann.primRec]
[ _ ] (pr_scope) [in hydras.Ackermann.primRec]
_ :: _ (pr_scope) [in hydras.Ackermann.primRec]

V

_ < _ [in hydras.Prelude.WfVariant]

other

fol:_ <> _ [in hydras.Ackermann.fol]
fol:_ = _ [in hydras.Ackermann.fol]
fol:_ <-> _ [in hydras.Ackermann.fol]
fol:_ -> _ [in hydras.Ackermann.fol]
fol:_ ∧ _ [in hydras.Ackermann.fol]
fol:_ ∨ _ [in hydras.Ackermann.fol]
fol:( _ ) [in hydras.Ackermann.fol]
fol:{ _ } [in hydras.Ackermann.fol]
fol:~ _ [in hydras.Ackermann.fol]
fol:∀ _ , _ [in hydras.Ackermann.fol]
fol:∃ _ , _ [in hydras.Ackermann.fol]
_ o+ _ (cantor_scope) [in gaia_hydras.GHessenberg]
_ O+ _ (E0_scope) [in hydras.Epsilon0.E0]
_ * _ (E0_scope) [in hydras.Epsilon0.E0]
E0_omega^ (E0_scope) [in hydras.Epsilon0.E0]
_ + _ (E0_scope) [in hydras.Epsilon0.E0]
_ o<= _ (E0_scope) [in hydras.Epsilon0.E0]
_ o< _ (E0_scope) [in hydras.Epsilon0.E0]
_ ^ _ (M_scope) [in additions.Pow_variant]
_ ^b _ (M_scope) [in additions.Pow_variant]
_ ^ _ (M_scope) [in additions.Pow_variant]
_ ^ _ (M_scope) [in additions.Pow]
_ ^b _ (M_scope) [in additions.Pow]
_ ^ _ (M_scope) [in additions.Pow]
_ * _ (M_scope) [in additions.Monoid_def]
_ .-4 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .-3 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .-2 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .-1 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .+5 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .+4 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .+3 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .+2 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ .+1 (nat_scope) [in hydras.Prelude.ssrnat_extracts]
_ <->' _ (nt_scope) [in hydras.Ackermann.LNT]
_ <->'' _ (nt_scope) [in hydras.Ackermann.LNT]
_ /\' _ (nt_scope) [in hydras.Ackermann.LNT]
_ \/' _ (nt_scope) [in hydras.Ackermann.LNT]
_ * _ (nt_scope) [in hydras.Ackermann.LNT]
_ + _ (nt_scope) [in hydras.Ackermann.LNT]
allH _ .. _ , _ (nt_scope) [in hydras.Ackermann.LNT]
exH _ .. _ , _ (nt_scope) [in hydras.Ackermann.LNT]
v# _ (nt_scope) [in hydras.Ackermann.LNT]
_ <> _ (nt_scope) [in hydras.Ackermann.LNT]
_ = _ (nt_scope) [in hydras.Ackermann.LNT]
_ <-> _ (nt_scope) [in hydras.Ackermann.LNT]
~ _ (nt_scope) [in hydras.Ackermann.LNT]
_ -> _ (nt_scope) [in hydras.Ackermann.LNT]
_ /\ _ (nt_scope) [in hydras.Ackermann.LNT]
_ \/ _ (nt_scope) [in hydras.Ackermann.LNT]
_ = _ (nt_scope) [in hydras.Ackermann.LNT]
_ * _ (ON_scope) [in hydras.OrdinalNotations.ON_Omega2]
_ + _ (ON_scope) [in hydras.OrdinalNotations.ON_Omega2]
_ o?= _ (ON_scope) [in hydras.OrdinalNotations.ON_Generic]
_ o<= _ (ON_scope) [in hydras.OrdinalNotations.ON_Generic]
_ o< _ (ON_scope) [in hydras.OrdinalNotations.ON_Generic]
_ ^ _ (ppT1_scope) [in hydras.Epsilon0.T1]
_ * _ (ppT1_scope) [in hydras.Epsilon0.T1]
_ + _ (ppT1_scope) [in hydras.Epsilon0.T1]
omega^ (schutte_scope) [in hydras.Schutte.AP]
|_| _ (schutte_scope) [in hydras.Schutte.Schutte_basics]
_ <= _ (schutte_scope) [in hydras.Schutte.Schutte_basics]
_ < _ (schutte_scope) [in hydras.Schutte.Schutte_basics]
_ * _ (schutte_scope) [in hydras.Schutte.Addition]
_ + _ (schutte_scope) [in hydras.Schutte.Addition]
_ == _ (type_scope) [in additions.Monoid_def]
_ == _ (type_scope) [in additions.Addition_Chains]
_ t1< _ t1< _ (t1_scope) [in hydras.Epsilon0.T1]
_ t1<= _ (t1_scope) [in hydras.Epsilon0.T1]
_ t1< _ (t1_scope) [in hydras.Epsilon0.T1]
_ ^ _ (t1_scope) [in hydras.Epsilon0.T1]
_ - _ (t1_scope) [in hydras.Epsilon0.T1]
_ * _ (t1_scope) [in hydras.Epsilon0.T1]
_ + _ (t1_scope) [in hydras.Epsilon0.T1]
\F _ (t1_scope) [in hydras.Epsilon0.T1]
_ t2<= _ (T2_scope) [in hydras.Gamma0.T2]
_ t2< _ (T2_scope) [in hydras.Gamma0.T2]
[ _ , _ ] (T2_scope) [in hydras.Gamma0.T2]
_ + _ (T2_scope) [in hydras.Gamma0.Gamma0]
_ <_phi0 _ [in hydras.Epsilon0.T1]
_ < _ [in gaia_hydras.T1Choice]
_ <= _ [in gaia_hydras.T1Choice]
_ '<s' _ [in hydras.Prelude.DecPreOrder_Instances]
_ <: _ [in hydras.Prelude.DecPreOrder_Instances]
_ >>s _ [in hydras.Prelude.Iterates]
_ >> _ [in hydras.Prelude.Iterates]
_ <<= _ [in hydras.Prelude.Iterates]
_ o+ _ [in hydras.Epsilon0.Hessenberg]
_ =x= _ [in hydras.Ackermann.primRec]
_ <--- _ times _ ; _ [in additions.Addition_Chains]
_ -*-> _ [in hydras.Hydra.Hydra_Definitions]
_ -+-> _ [in hydras.Hydra.Hydra_Definitions]
_ -1-> _ [in hydras.Hydra.Hydra_Definitions]
f[ _ ]f [in hydras.Ackermann.fol]
SetAdds _ _ .. _ [in hydras.Ackermann.NewNotations]
SetEnum _ _ .. _ [in hydras.Ackermann.NewNotations]
v_apply _ _ [in hydras.MoreAck.AckNotPR]

---

Binder Index

A

ab1:18 [in hydras.MoreAck.Ack]
ab2:19 [in hydras.MoreAck.Ack]
ab:34 [in hydras.MoreAck.Ack]
acc1:10 [in additions.fib]
acc1:5 [in additions.fib]
acc2:11 [in additions.fib]
acc2:6 [in additions.fib]
acc:108 [in hydras.MoreAck.PrimRecExamples]
acc:113 [in hydras.rpo.list_set]
acc:118 [in hydras.rpo.list_set]
acc:126 [in hydras.rpo.list_set]
acc:133 [in hydras.rpo.list_set]
acc:140 [in hydras.rpo.list_set]
acc:144 [in hydras.rpo.list_set]
acc:148 [in hydras.rpo.list_set]
acc:16 [in additions.Compatibility]
acc:18 [in additions.fib]
acc:20 [in additions.Compatibility]
acc:232 [in hydras.rpo.list_set]
acc:235 [in hydras.rpo.list_set]
acc:238 [in hydras.rpo.list_set]
acc:242 [in hydras.rpo.list_set]
acc:71 [in additions.fib]
acc:78 [in additions.fib]
acc:87 [in hydras.rpo.list_set]
Ackm:13 [in hydras.MoreAck.Ack]
Aeq:64 [in additions.Monoid_def]
alpha':137 [in hydras.Gamma0.Gamma0]
alpha':193 [in hydras.Epsilon0.T1]
alpha':322 [in hydras.Epsilon0.T1]
alpha':462 [in hydras.Gamma0.Gamma0]
alpha':505 [in hydras.Gamma0.Gamma0]
alpha':509 [in hydras.Gamma0.Gamma0]
alpha':548 [in hydras.Gamma0.Gamma0]
alpha':551 [in hydras.Gamma0.Gamma0]
alpha':92 [in hydras.Epsilon0.T1]
alpha1:28 [in hydras.Gamma0.T2]
alpha1:36 [in hydras.Gamma0.T2]
alpha1:43 [in hydras.Gamma0.T2]
alpha1:51 [in hydras.Gamma0.T2]
alpha1:58 [in hydras.Gamma0.T2]
alpha1:64 [in hydras.Gamma0.T2]
alpha1:665 [in hydras.Gamma0.Gamma0]
alpha1:674 [in hydras.Gamma0.Gamma0]
alpha2:29 [in hydras.Gamma0.T2]
alpha2:44 [in hydras.Gamma0.T2]
alpha2:52 [in hydras.Gamma0.T2]
alpha2:667 [in hydras.Gamma0.Gamma0]
alpha2:676 [in hydras.Gamma0.Gamma0]
alpha:1 [in hydras.solutions_exercises.is_F_monotonous]
alpha:1 [in gaia_hydras.GF_alpha]
alpha:1 [in gaia_hydras.GHprime]
alpha:1 [in hydras.Epsilon0.Hessenberg]
alpha:1 [in hydras.Epsilon0.Large_Sets]
alpha:1 [in hydras.Schutte.Critical]
alpha:1 [in hydras.Schutte.AP]
alpha:1 [in hydras.Epsilon0.L_alpha]
alpha:1 [in hydras.Hydra.Hydra_Theorems]
alpha:1 [in hydras.Epsilon0.Canon]
alpha:1 [in hydras.solutions_exercises.ge_omega_iff]
alpha:1 [in hydras.Epsilon0.Hprime]
alpha:1 [in gaia_hydras.GL_alpha]
alpha:1 [in gaia_hydras.T2Bridge]
alpha:1 [in hydras.Schutte.Addition]
alpha:1 [in gaia_hydras.GHessenberg]
alpha:10 [in hydras.Schutte.Correctness_E0]
alpha:10 [in gaia_hydras.GF_alpha]
alpha:10 [in gaia_hydras.GHprime]
alpha:10 [in hydras.Epsilon0.Hessenberg]
alpha:10 [in hydras.Schutte.Critical]
alpha:10 [in hydras.Schutte.Addition]
alpha:100 [in hydras.OrdinalNotations.OmegaOmega]
alpha:100 [in hydras.Schutte.Schutte_basics]
alpha:100 [in hydras.Epsilon0.E0]
alpha:100 [in hydras.Epsilon0.Paths]
alpha:101 [in hydras.Hydra.O2H]
alpha:101 [in hydras.Prelude.Comparable]
alpha:101 [in hydras.Schutte.Schutte_basics]
alpha:102 [in hydras.Epsilon0.T1]
alpha:102 [in hydras.Schutte.Schutte_basics]
alpha:102 [in hydras.OrdinalNotations.ON_Generic]
alpha:102 [in hydras.Epsilon0.E0]
alpha:103 [in hydras.Prelude.Comparable]
alpha:103 [in hydras.OrdinalNotations.OmegaOmega]
alpha:103 [in hydras.Epsilon0.Paths]
alpha:104 [in hydras.Hydra.O2H]
alpha:104 [in hydras.OrdinalNotations.OmegaOmega]
alpha:104 [in hydras.Epsilon0.Canon]
alpha:104 [in hydras.Schutte.Schutte_basics]
alpha:104 [in hydras.Epsilon0.E0]
alpha:105 [in hydras.Schutte.Schutte_basics]
alpha:105 [in hydras.Epsilon0.E0]
alpha:106 [in hydras.OrdinalNotations.OmegaOmega]
alpha:106 [in hydras.Epsilon0.Canon]
alpha:107 [in hydras.Schutte.Schutte_basics]
alpha:107 [in hydras.Epsilon0.E0]
alpha:108 [in hydras.Schutte.Schutte_basics]
alpha:108 [in hydras.Epsilon0.E0]
alpha:108 [in hydras.Epsilon0.Paths]
alpha:109 [in hydras.Epsilon0.Hessenberg]
alpha:109 [in hydras.OrdinalNotations.OmegaOmega]
alpha:109 [in hydras.Epsilon0.Canon]
alpha:109 [in hydras.Schutte.Schutte_basics]
alpha:109 [in hydras.Epsilon0.Paths]
alpha:11 [in hydras.OrdinalNotations.ON_Omega2]
alpha:11 [in hydras.Gamma0.T2]
alpha:11 [in hydras.Schutte.CNF]
alpha:11 [in hydras.Schutte.Critical]
alpha:11 [in hydras.Schutte.AP]
alpha:11 [in hydras.OrdinalNotations.ON_mult]
alpha:11 [in hydras.OrdinalNotations.ON_Finite]
alpha:11 [in hydras.Epsilon0.E0]
alpha:11 [in hydras.Schutte.Addition]
alpha:110 [in hydras.Epsilon0.T1]
alpha:110 [in hydras.Hydra.O2H]
alpha:110 [in hydras.Epsilon0.E0]
alpha:111 [in hydras.Epsilon0.Canon]
alpha:111 [in hydras.Schutte.Schutte_basics]
alpha:111 [in hydras.Epsilon0.E0]
alpha:112 [in hydras.Epsilon0.Hessenberg]
alpha:113 [in hydras.Epsilon0.Canon]
alpha:113 [in hydras.Schutte.Schutte_basics]
alpha:113 [in hydras.Epsilon0.E0]
alpha:113 [in hydras.Epsilon0.Paths]
alpha:114 [in hydras.Epsilon0.F_alpha]
alpha:114 [in hydras.Epsilon0.Canon]
alpha:115 [in hydras.Schutte.Schutte_basics]
alpha:115 [in hydras.OrdinalNotations.ON_Generic]
alpha:115 [in hydras.Epsilon0.E0]
alpha:117 [in hydras.Schutte.Schutte_basics]
alpha:117 [in hydras.Epsilon0.E0]
alpha:117 [in hydras.Epsilon0.Hprime]
alpha:118 [in hydras.Epsilon0.E0]
alpha:118 [in hydras.Epsilon0.Paths]
alpha:119 [in hydras.Epsilon0.T1]
alpha:119 [in hydras.Epsilon0.F_alpha]
alpha:119 [in hydras.Schutte.Schutte_basics]
alpha:12 [in hydras.Epsilon0.T1]
alpha:12 [in hydras.OrdinalNotations.ON_Omega2]
alpha:12 [in hydras.Hydra.O2H]
alpha:12 [in gaia_hydras.GHprime]
alpha:12 [in hydras.Epsilon0.Large_Sets]
alpha:12 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:12 [in hydras.Epsilon0.E0]
alpha:12 [in hydras.Hydra.Epsilon0_Needed_Generic]
alpha:12 [in hydras.Schutte.Addition]
alpha:120 [in hydras.Schutte.Schutte_basics]
alpha:120 [in hydras.OrdinalNotations.ON_Generic]
alpha:120 [in hydras.Epsilon0.E0]
alpha:121 [in hydras.Epsilon0.T1]
alpha:121 [in hydras.Schutte.Schutte_basics]
alpha:123 [in hydras.Epsilon0.Paths]
alpha:124 [in hydras.Epsilon0.T1]
alpha:124 [in hydras.Epsilon0.Hprime]
alpha:124 [in hydras.Gamma0.Gamma0]
alpha:125 [in hydras.Epsilon0.Large_Sets]
alpha:127 [in hydras.Epsilon0.Large_Sets]
alpha:127 [in hydras.Epsilon0.Paths]
alpha:127 [in hydras.Gamma0.Gamma0]
alpha:128 [in hydras.Epsilon0.Hprime]
alpha:129 [in hydras.Epsilon0.Large_Sets]
alpha:13 [in hydras.solutions_exercises.predSuccUnicity]
alpha:13 [in gaia_hydras.GF_alpha]
alpha:13 [in gaia_hydras.GHprime]
alpha:13 [in hydras.OrdinalNotations.ON_O]
alpha:13 [in hydras.Epsilon0.Hessenberg]
alpha:13 [in hydras.Schutte.CNF]
alpha:13 [in hydras.OrdinalNotations.ON_mult]
alpha:13 [in hydras.OrdinalNotations.ON_plus]
alpha:13 [in gaia_hydras.GL_alpha]
alpha:13 [in hydras.Gamma0.Gamma0]
alpha:130 [in hydras.Gamma0.Gamma0]
alpha:131 [in hydras.Epsilon0.Large_Sets]
alpha:132 [in hydras.OrdinalNotations.ON_Generic]
alpha:132 [in hydras.Epsilon0.Paths]
alpha:133 [in hydras.Epsilon0.Large_Sets]
alpha:133 [in hydras.Gamma0.Gamma0]
alpha:135 [in hydras.Epsilon0.Large_Sets]
alpha:136 [in hydras.Schutte.Ordering_Functions]
alpha:137 [in hydras.Epsilon0.Large_Sets]
alpha:137 [in hydras.Schutte.Ordering_Functions]
alpha:139 [in hydras.Epsilon0.Large_Sets]
alpha:139 [in hydras.Epsilon0.Paths]
alpha:14 [in hydras.Schutte.Correctness_E0]
alpha:14 [in hydras.OrdinalNotations.ON_Omega2]
alpha:14 [in hydras.Schutte.Critical]
alpha:14 [in hydras.Schutte.AP]
alpha:14 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:14 [in hydras.OrdinalNotations.ON_Finite]
alpha:14 [in hydras.Epsilon0.E0]
alpha:14 [in hydras.Epsilon0.Paths]
alpha:14 [in hydras.Gamma0.Gamma0]
alpha:141 [in hydras.Epsilon0.T1]
alpha:141 [in hydras.Epsilon0.Large_Sets]
alpha:145 [in hydras.OrdinalNotations.ON_Generic]
alpha:145 [in hydras.Epsilon0.Paths]
alpha:146 [in hydras.Epsilon0.T1]
alpha:146 [in hydras.Gamma0.Gamma0]
alpha:147 [in hydras.Schutte.Schutte_basics]
alpha:147 [in hydras.Gamma0.Gamma0]
alpha:149 [in hydras.Schutte.Schutte_basics]
alpha:15 [in hydras.Epsilon0.T1]
alpha:15 [in hydras.Gamma0.T2]
alpha:15 [in hydras.Hydra.O2H]
alpha:15 [in gaia_hydras.GF_alpha]
alpha:15 [in hydras.Schutte.CNF]
alpha:15 [in hydras.Schutte.Critical]
alpha:15 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:15 [in hydras.OrdinalNotations.ON_mult]
alpha:15 [in hydras.Hydra.Epsilon0_Needed_Std]
alpha:15 [in hydras.OrdinalNotations.ON_plus]
alpha:15 [in gaia_hydras.GHydra]
alpha:15 [in hydras.solutions_exercises.F_3]
alpha:15 [in gaia_hydras.GL_alpha]
alpha:15 [in hydras.Gamma0.Gamma0]
alpha:15 [in hydras.Schutte.Addition]
alpha:150 [in hydras.Epsilon0.T1]
alpha:151 [in hydras.Schutte.Schutte_basics]
alpha:151 [in hydras.Epsilon0.Paths]
alpha:151 [in hydras.Gamma0.Gamma0]
alpha:153 [in hydras.Epsilon0.Paths]
alpha:153 [in hydras.Gamma0.Gamma0]
alpha:154 [in hydras.Epsilon0.Large_Sets]
alpha:155 [in hydras.Epsilon0.T1]
alpha:156 [in hydras.Epsilon0.Paths]
alpha:157 [in hydras.Epsilon0.T1]
alpha:157 [in hydras.Epsilon0.Large_Sets]
alpha:157 [in hydras.Epsilon0.Paths]
alpha:157 [in hydras.Gamma0.Gamma0]
alpha:158 [in hydras.Epsilon0.F_alpha]
alpha:159 [in hydras.Epsilon0.Paths]
alpha:16 [in hydras.OrdinalNotations.ON_Omega2]
alpha:16 [in hydras.solutions_exercises.predSuccUnicity]
alpha:16 [in gaia_hydras.GF_alpha]
alpha:16 [in hydras.OrdinalNotations.ON_O]
alpha:16 [in hydras.Epsilon0.Paths]
alpha:16 [in hydras.Gamma0.Gamma0]
alpha:16 [in hydras.Schutte.Addition]
alpha:160 [in hydras.Epsilon0.F_alpha]
alpha:161 [in hydras.Epsilon0.Paths]
alpha:162 [in hydras.Epsilon0.F_alpha]
alpha:164 [in hydras.Epsilon0.Paths]
alpha:165 [in hydras.Epsilon0.F_alpha]
alpha:167 [in hydras.Epsilon0.F_alpha]
alpha:168 [in hydras.Schutte.Ordering_Functions]
alpha:169 [in hydras.Epsilon0.Large_Sets]
alpha:169 [in hydras.Epsilon0.Paths]
alpha:169 [in hydras.Schutte.Ordering_Functions]
alpha:17 [in hydras.OrdinalNotations.ON_Omega2]
alpha:17 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:17 [in hydras.OrdinalNotations.ON_plus]
alpha:17 [in gaia_hydras.GHydra]
alpha:17 [in hydras.OrdinalNotations.ON_Finite]
alpha:17 [in gaia_hydras.GL_alpha]
alpha:17 [in hydras.Gamma0.Gamma0]
alpha:17 [in hydras.Schutte.Addition]
alpha:170 [in hydras.Epsilon0.F_alpha]
alpha:170 [in gaia_hydras.T1Bridge]
alpha:172 [in gaia_hydras.T1Bridge]
alpha:174 [in hydras.Epsilon0.F_alpha]
alpha:174 [in hydras.Epsilon0.Paths]
alpha:174 [in hydras.Gamma0.Gamma0]
alpha:175 [in hydras.Schutte.Schutte_basics]
alpha:175 [in hydras.Gamma0.Gamma0]
alpha:176 [in hydras.Epsilon0.F_alpha]
alpha:176 [in hydras.Epsilon0.Large_Sets]
alpha:176 [in hydras.Gamma0.Gamma0]
alpha:177 [in hydras.Schutte.Schutte_basics]
alpha:177 [in hydras.Epsilon0.Paths]
alpha:178 [in hydras.Epsilon0.F_alpha]
alpha:178 [in hydras.Schutte.Schutte_basics]
alpha:179 [in hydras.Epsilon0.Large_Sets]
alpha:18 [in hydras.Schutte.Correctness_E0]
alpha:18 [in hydras.OrdinalNotations.ON_Omega2]
alpha:18 [in hydras.Hydra.O2H]
alpha:18 [in gaia_hydras.GF_alpha]
alpha:18 [in hydras.Schutte.Schutte_basics]
alpha:180 [in hydras.Epsilon0.F_alpha]
alpha:180 [in hydras.Gamma0.Gamma0]
alpha:181 [in hydras.Epsilon0.Large_Sets]
alpha:181 [in hydras.Epsilon0.Paths]
alpha:182 [in hydras.Gamma0.Gamma0]
alpha:183 [in hydras.Epsilon0.Large_Sets]
alpha:185 [in hydras.Epsilon0.Paths]
alpha:186 [in hydras.Epsilon0.Large_Sets]
alpha:186 [in hydras.Epsilon0.Paths]
alpha:188 [in hydras.Epsilon0.Large_Sets]
alpha:188 [in hydras.Schutte.Ordering_Functions]
alpha:188 [in hydras.Gamma0.Gamma0]
alpha:19 [in hydras.OrdinalNotations.ON_O]
alpha:19 [in hydras.Schutte.CNF]
alpha:19 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:19 [in hydras.Hydra.Epsilon0_Needed_Std]
alpha:19 [in hydras.OrdinalNotations.ON_Finite]
alpha:19 [in hydras.Epsilon0.Paths]
alpha:190 [in hydras.Gamma0.Gamma0]
alpha:191 [in hydras.Epsilon0.T1]
alpha:191 [in hydras.Schutte.Schutte_basics]
alpha:191 [in hydras.Epsilon0.Paths]
alpha:192 [in hydras.Epsilon0.T1]
alpha:192 [in hydras.Gamma0.Gamma0]
alpha:193 [in hydras.Epsilon0.Large_Sets]
alpha:193 [in hydras.Epsilon0.Paths]
alpha:194 [in hydras.Gamma0.Gamma0]
alpha:195 [in hydras.Epsilon0.Large_Sets]
alpha:196 [in hydras.Epsilon0.Paths]
alpha:196 [in hydras.Gamma0.Gamma0]
alpha:197 [in hydras.Epsilon0.Large_Sets]
alpha:197 [in hydras.Schutte.Schutte_basics]
alpha:198 [in hydras.Gamma0.Gamma0]
alpha:199 [in hydras.Epsilon0.Large_Sets]
alpha:2 [in hydras.OrdinalNotations.ON_Omega2]
alpha:2 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:2 [in hydras.solutions_exercises.schutte_cnf_counter_example]
alpha:2 [in gaia_hydras.ON_gfinite]
alpha:2 [in hydras.solutions_exercises.F_3]
alpha:2 [in hydras.OrdinalNotations.ON_Omega]
alpha:2 [in hydras.Epsilon0.Paths]
alpha:2 [in hydras.Schutte.Ordering_Functions]
alpha:2 [in hydras.Schutte.Addition]
alpha:20 [in hydras.Gamma0.T2]
alpha:20 [in hydras.Hydra.O2H]
alpha:20 [in hydras.Schutte.CNF]
alpha:20 [in hydras.Hydra.Epsilon0_Needed_Std]
alpha:20 [in gaia_hydras.GHydra]
alpha:20 [in hydras.Epsilon0.E0]
alpha:20 [in hydras.Schutte.Addition]
alpha:200 [in hydras.Epsilon0.Paths]
alpha:200 [in hydras.Gamma0.Gamma0]
alpha:202 [in hydras.Epsilon0.T1]
alpha:202 [in hydras.Gamma0.Gamma0]
alpha:203 [in hydras.Epsilon0.T1]
alpha:203 [in hydras.Epsilon0.Paths]
alpha:204 [in hydras.Gamma0.Gamma0]
alpha:206 [in hydras.Epsilon0.Paths]
alpha:207 [in hydras.Schutte.Schutte_basics]
alpha:207 [in hydras.OrdinalNotations.ON_Generic]
alpha:208 [in hydras.Epsilon0.T1]
alpha:209 [in hydras.Schutte.Schutte_basics]
alpha:21 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:21 [in hydras.Gamma0.Gamma0]
alpha:210 [in hydras.Epsilon0.T1]
alpha:210 [in hydras.Schutte.Schutte_basics]
alpha:211 [in hydras.Schutte.Schutte_basics]
alpha:211 [in hydras.Gamma0.Gamma0]
alpha:212 [in hydras.Schutte.Schutte_basics]
alpha:212 [in hydras.Gamma0.Gamma0]
alpha:213 [in hydras.Schutte.Schutte_basics]
alpha:213 [in hydras.Gamma0.Gamma0]
alpha:214 [in hydras.Schutte.Schutte_basics]
alpha:215 [in hydras.Schutte.Schutte_basics]
alpha:22 [in hydras.Schutte.Critical]
alpha:22 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:22 [in hydras.Epsilon0.E0]
alpha:22 [in hydras.Epsilon0.Paths]
alpha:22 [in hydras.Schutte.Addition]
alpha:223 [in hydras.Epsilon0.Paths]
alpha:228 [in hydras.Epsilon0.Paths]
alpha:229 [in hydras.Schutte.Schutte_basics]
alpha:23 [in hydras.Epsilon0.T1]
alpha:23 [in hydras.Hydra.O2H]
alpha:23 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:23 [in hydras.Hydra.Epsilon0_Needed_Std]
alpha:23 [in hydras.Schutte.Schutte_basics]
alpha:231 [in hydras.Epsilon0.Paths]
alpha:232 [in hydras.Schutte.Schutte_basics]
alpha:237 [in hydras.Epsilon0.Paths]
alpha:238 [in hydras.Gamma0.Gamma0]
alpha:24 [in hydras.Gamma0.T2]
alpha:24 [in hydras.Schutte.CNF]
alpha:24 [in hydras.Epsilon0.Large_Sets]
alpha:24 [in hydras.Epsilon0.E0]
alpha:24 [in hydras.Schutte.Addition]
alpha:240 [in hydras.Epsilon0.T1]
alpha:240 [in hydras.Gamma0.Gamma0]
alpha:242 [in hydras.Epsilon0.T1]
alpha:242 [in hydras.Epsilon0.Paths]
alpha:244 [in hydras.Epsilon0.T1]
alpha:245 [in hydras.Epsilon0.Paths]
alpha:247 [in hydras.Epsilon0.Paths]
alpha:248 [in hydras.Epsilon0.Paths]
alpha:25 [in hydras.Hydra.O2H]
alpha:25 [in gaia_hydras.GF_alpha]
alpha:25 [in hydras.Schutte.Critical]
alpha:25 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:25 [in hydras.OrdinalNotations.ON_Generic]
alpha:251 [in hydras.Epsilon0.Paths]
alpha:254 [in hydras.Epsilon0.Paths]
alpha:257 [in hydras.Epsilon0.Paths]
alpha:26 [in hydras.Schutte.CNF]
alpha:26 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:26 [in hydras.Epsilon0.Canon]
alpha:26 [in hydras.Epsilon0.E0]
alpha:26 [in hydras.solutions_exercises.F_3]
alpha:261 [in hydras.Epsilon0.Paths]
alpha:264 [in hydras.Epsilon0.Paths]
alpha:265 [in hydras.Epsilon0.Paths]
alpha:268 [in hydras.Epsilon0.Paths]
alpha:27 [in hydras.OrdinalNotations.ON_Omega2]
alpha:27 [in gaia_hydras.GF_alpha]
alpha:27 [in hydras.Schutte.CNF]
alpha:27 [in hydras.solutions_exercises.F_3]
alpha:27 [in hydras.Schutte.Ordering_Functions]
alpha:27 [in hydras.Schutte.Addition]
alpha:273 [in hydras.Epsilon0.Paths]
alpha:276 [in hydras.Epsilon0.Paths]
alpha:279 [in hydras.Epsilon0.Paths]
alpha:28 [in hydras.Epsilon0.T1]
alpha:28 [in hydras.OrdinalNotations.ON_Omega2]
alpha:28 [in hydras.Epsilon0.Large_Sets]
alpha:281 [in hydras.Epsilon0.Paths]
alpha:284 [in hydras.Epsilon0.Paths]
alpha:287 [in hydras.Epsilon0.Paths]
alpha:288 [in hydras.Epsilon0.T1]
alpha:29 [in hydras.Epsilon0.Canon]
alpha:29 [in hydras.Epsilon0.E0]
alpha:29 [in hydras.Epsilon0.Paths]
alpha:29 [in hydras.Schutte.Addition]
alpha:290 [in hydras.Epsilon0.T1]
alpha:290 [in hydras.Epsilon0.Paths]
alpha:292 [in hydras.Epsilon0.T1]
alpha:293 [in hydras.Epsilon0.Paths]
alpha:294 [in hydras.Epsilon0.T1]
alpha:296 [in hydras.Epsilon0.T1]
alpha:296 [in hydras.Epsilon0.Paths]
alpha:298 [in hydras.Epsilon0.T1]
alpha:3 [in hydras.Epsilon0.T1]
alpha:3 [in hydras.OrdinalNotations.ON_Omega2]
alpha:3 [in hydras.Gamma0.T2]
alpha:3 [in hydras.Epsilon0.Large_Sets]
alpha:3 [in hydras.Schutte.Critical]
alpha:3 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:3 [in hydras.Schutte.Schutte_basics]
alpha:30 [in hydras.OrdinalNotations.ON_Omega2]
alpha:30 [in gaia_hydras.GF_alpha]
alpha:30 [in hydras.Schutte.Critical]
alpha:300 [in hydras.Epsilon0.T1]
alpha:300 [in hydras.Epsilon0.Paths]
alpha:302 [in hydras.Epsilon0.T1]
alpha:304 [in hydras.Epsilon0.T1]
alpha:304 [in hydras.Epsilon0.Paths]
alpha:306 [in hydras.Epsilon0.T1]
alpha:307 [in hydras.Epsilon0.T1]
alpha:307 [in hydras.Epsilon0.Paths]
alpha:308 [in hydras.Epsilon0.T1]
alpha:309 [in hydras.Epsilon0.T1]
alpha:31 [in hydras.Schutte.CNF]
alpha:31 [in hydras.Epsilon0.Large_Sets]
alpha:31 [in hydras.Epsilon0.Canon]
alpha:31 [in hydras.OrdinalNotations.ON_Finite]
alpha:31 [in hydras.Epsilon0.E0]
alpha:31 [in hydras.Epsilon0.Paths]
alpha:311 [in hydras.Epsilon0.Paths]
alpha:313 [in hydras.Epsilon0.T1]
alpha:316 [in hydras.Epsilon0.T1]
alpha:316 [in hydras.Epsilon0.Paths]
alpha:318 [in hydras.Epsilon0.T1]
alpha:319 [in hydras.Epsilon0.Paths]
alpha:32 [in hydras.Schutte.Correctness_E0]
alpha:32 [in hydras.OrdinalNotations.ON_Omega2]
alpha:32 [in gaia_hydras.GF_alpha]
alpha:32 [in hydras.Epsilon0.L_alpha]
alpha:32 [in hydras.Epsilon0.Canon]
alpha:32 [in hydras.Schutte.Schutte_basics]
alpha:32 [in hydras.OrdinalNotations.ON_Finite]
alpha:32 [in hydras.Epsilon0.Hprime]
alpha:32 [in hydras.Schutte.Addition]
alpha:321 [in hydras.Epsilon0.T1]
alpha:323 [in hydras.Epsilon0.Paths]
alpha:325 [in hydras.Epsilon0.Paths]
alpha:327 [in hydras.Epsilon0.T1]
alpha:33 [in gaia_hydras.GF_alpha]
alpha:33 [in hydras.Epsilon0.Large_Sets]
alpha:33 [in hydras.Epsilon0.E0]
alpha:330 [in hydras.Epsilon0.Paths]
alpha:332 [in hydras.Epsilon0.T1]
alpha:332 [in hydras.Epsilon0.Paths]
alpha:334 [in hydras.Epsilon0.Paths]
alpha:336 [in hydras.Epsilon0.T1]
alpha:337 [in hydras.Epsilon0.T1]
alpha:339 [in hydras.Epsilon0.Paths]
alpha:34 [in hydras.OrdinalNotations.ON_Omega2]
alpha:34 [in hydras.Epsilon0.L_alpha]
alpha:34 [in hydras.Schutte.Schutte_basics]
alpha:34 [in hydras.OrdinalNotations.ON_Finite]
alpha:34 [in hydras.Epsilon0.Hprime]
alpha:34 [in hydras.Epsilon0.Paths]
alpha:340 [in hydras.Epsilon0.T1]
alpha:343 [in hydras.Epsilon0.T1]
alpha:343 [in hydras.Epsilon0.Paths]
alpha:347 [in hydras.Epsilon0.Paths]
alpha:349 [in hydras.Epsilon0.T1]
alpha:35 [in hydras.Schutte.Critical]
alpha:35 [in hydras.Epsilon0.E0]
alpha:35 [in hydras.Schutte.Ordering_Functions]
alpha:35 [in hydras.Schutte.Addition]
alpha:351 [in hydras.Epsilon0.Paths]
alpha:352 [in hydras.Epsilon0.T1]
alpha:356 [in hydras.Epsilon0.Paths]
alpha:357 [in hydras.Epsilon0.Paths]
alpha:36 [in hydras.Epsilon0.T1]
alpha:36 [in hydras.OrdinalNotations.ON_Omega2]
alpha:36 [in hydras.Schutte.CNF]
alpha:36 [in hydras.Epsilon0.Large_Sets]
alpha:36 [in hydras.Epsilon0.L_alpha]
alpha:36 [in hydras.Epsilon0.Hprime]
alpha:36 [in hydras.Schutte.Addition]
alpha:362 [in hydras.Epsilon0.Paths]
alpha:364 [in hydras.Epsilon0.Paths]
alpha:37 [in hydras.OrdinalNotations.ON_Generic]
alpha:37 [in hydras.Epsilon0.E0]
alpha:37 [in hydras.Epsilon0.Paths]
alpha:377 [in hydras.Epsilon0.Paths]
alpha:38 [in hydras.Epsilon0.T1]
alpha:38 [in hydras.Schutte.Addition]
alpha:383 [in hydras.Epsilon0.Paths]
alpha:388 [in hydras.Epsilon0.Paths]
alpha:39 [in hydras.OrdinalNotations.ON_Omega2]
alpha:39 [in hydras.Epsilon0.Large_Sets]
alpha:39 [in hydras.Schutte.Critical]
alpha:39 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:39 [in hydras.Epsilon0.F_omega]
alpha:39 [in hydras.Epsilon0.E0]
alpha:393 [in hydras.Epsilon0.T1]
alpha:395 [in hydras.Epsilon0.Paths]
alpha:397 [in hydras.Epsilon0.T1]
alpha:398 [in hydras.Epsilon0.T1]
alpha:399 [in hydras.Epsilon0.Paths]
alpha:4 [in gaia_hydras.GHprime]
alpha:4 [in hydras.Epsilon0.Large_Sets_Examples]
alpha:4 [in hydras.Hydra.Hydra_Theorems]
alpha:4 [in hydras.OrdinalNotations.ON_Finite]
alpha:4 [in hydras.Epsilon0.E0]
alpha:4 [in gaia_hydras.GL_alpha]
alpha:4 [in gaia_hydras.T2Bridge]
alpha:4 [in gaia_hydras.GHessenberg]
alpha:40 [in hydras.Epsilon0.T1]
alpha:40 [in hydras.Epsilon0.F_alpha]
alpha:40 [in hydras.Epsilon0.F_omega]
alpha:40 [in hydras.OrdinalNotations.OmegaOmega]
alpha:40 [in hydras.Epsilon0.E0]
alpha:40 [in hydras.Epsilon0.Paths]
alpha:403 [in hydras.Epsilon0.Paths]
alpha:405 [in hydras.Epsilon0.T1]
alpha:406 [in hydras.Epsilon0.T1]
alpha:407 [in hydras.Epsilon0.Paths]
alpha:409 [in hydras.Epsilon0.T1]
alpha:41 [in hydras.Schutte.Correctness_E0]
alpha:41 [in hydras.OrdinalNotations.ON_Omega2]
alpha:41 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:41 [in hydras.Epsilon0.L_alpha]
alpha:41 [in hydras.Epsilon0.E0]
alpha:41 [in hydras.Epsilon0.Hprime]
alpha:413 [in hydras.Epsilon0.T1]
alpha:413 [in hydras.Epsilon0.Paths]
alpha:418 [in hydras.Epsilon0.T1]
alpha:419 [in hydras.Epsilon0.T1]
alpha:419 [in hydras.Epsilon0.Paths]
alpha:42 [in hydras.Epsilon0.T1]
alpha:42 [in hydras.Schutte.Correctness_E0]
alpha:42 [in hydras.Epsilon0.F_alpha]
alpha:42 [in hydras.Schutte.CNF]
alpha:42 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:42 [in hydras.Epsilon0.Canon]
alpha:42 [in hydras.Epsilon0.E0]
alpha:42 [in hydras.Schutte.Addition]
alpha:420 [in hydras.Epsilon0.T1]
alpha:423 [in hydras.Epsilon0.Paths]
alpha:427 [in hydras.Epsilon0.Paths]
alpha:43 [in hydras.Schutte.Critical]
alpha:43 [in hydras.Epsilon0.L_alpha]
alpha:43 [in hydras.OrdinalNotations.OmegaOmega]
alpha:431 [in hydras.Epsilon0.Paths]
alpha:433 [in hydras.Epsilon0.Paths]
alpha:437 [in hydras.Epsilon0.Paths]
alpha:44 [in hydras.OrdinalNotations.ON_Omega2]
alpha:44 [in hydras.Epsilon0.F_alpha]
alpha:44 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
alpha:44 [in hydras.Epsilon0.Canon]
alpha:44 [in hydras.Epsilon0.E0]
alpha:44 [in hydras.Epsilon0.Paths]
alpha:443 [in hydras.Epsilon0.Paths]
alpha:448 [in hydras.Epsilon0.Paths]
alpha:45 [in hydras.Epsilon0.T1]
alpha:45 [in hydras.Epsilon0.Large_Sets]
alpha:45 [in hydras.Schutte.Critical]
alpha:452 [in hydras.Epsilon0.Paths]
alpha:453 [in hydras.Gamma0.Gamma0]
alpha:454 [in hydras.Epsilon0.Paths]
alpha:456 [in hydras.Epsilon0.T1]
alpha:459 [in hydras.Epsilon0.Paths]
alpha:46 [in hydras.Schutte.Correctness_E0]
alpha:46 [in hydras.OrdinalNotations.ON_Omega2]
alpha:46 [in hydras.Schutte.CNF]
alpha:46 [in hydras.Schutte.AP]
alpha:46 [in hydras.Epsilon0.E0]
alpha:460 [in hydras.Gamma0.Gamma0]
alpha:462 [in hydras.Epsilon0.Paths]
alpha:464 [in hydras.Gamma0.Gamma0]
alpha:466 [in hydras.Epsilon0.T1]
alpha:466 [in hydras.Gamma0.Gamma0]
alpha:47 [in hydras.Epsilon0.F_alpha]
alpha:47 [in hydras.Schutte.AP]
alpha:47 [in hydras.Epsilon0.L_alpha]
alpha:47 [in hydras.Epsilon0.Canon]
alpha:47 [in hydras.Epsilon0.E0]
alpha:470 [in hydras.Epsilon0.Paths]
alpha:472 [in hydras.Epsilon0.T1]
alpha:473 [in hydras.Epsilon0.Paths]
alpha:474 [in hydras.Epsilon0.T1]
alpha:475 [in hydras.Epsilon0.Paths]
alpha:479 [in hydras.Epsilon0.Paths]
alpha:48 [in hydras.OrdinalNotations.ON_Omega2]
alpha:48 [in hydras.Schutte.CNF]
alpha:48 [in hydras.Epsilon0.Large_Sets]
alpha:48 [in hydras.Schutte.Critical]
alpha:48 [in hydras.Epsilon0.Canon]
alpha:480 [in hydras.Epsilon0.T1]
alpha:481 [in hydras.Gamma0.Gamma0]
alpha:482 [in hydras.Epsilon0.T1]
alpha:482 [in hydras.Epsilon0.Paths]
alpha:484 [in hydras.Epsilon0.T1]
alpha:486 [in hydras.Epsilon0.T1]
alpha:486 [in hydras.Epsilon0.Paths]
alpha:49 [in hydras.Hydra.O2H]
alpha:49 [in hydras.Epsilon0.F_alpha]
alpha:49 [in hydras.Schutte.AP]
alpha:49 [in hydras.Epsilon0.L_alpha]
alpha:49 [in hydras.Epsilon0.E0]
alpha:49 [in hydras.Epsilon0.Paths]
alpha:490 [in hydras.Epsilon0.T1]
alpha:490 [in hydras.Epsilon0.Paths]
alpha:492 [in hydras.Gamma0.Gamma0]
alpha:494 [in hydras.Epsilon0.Paths]
alpha:494 [in hydras.Gamma0.Gamma0]
alpha:498 [in hydras.Epsilon0.T1]
alpha:498 [in hydras.Epsilon0.Paths]
alpha:499 [in hydras.Gamma0.Gamma0]
alpha:5 [in hydras.Gamma0.T2]
alpha:5 [in gaia_hydras.GF_alpha]
alpha:5 [in hydras.Schutte.CNF]
alpha:5 [in hydras.Hydra.Battle_length]
alpha:5 [in gaia_hydras.ON_gfinite]
alpha:50 [in hydras.Hydra.O2H]
alpha:50 [in hydras.Epsilon0.Canon]
alpha:50 [in hydras.Epsilon0.E0]
alpha:502 [in hydras.Epsilon0.Paths]
alpha:503 [in hydras.Gamma0.Gamma0]
alpha:505 [in hydras.Epsilon0.Paths]
alpha:507 [in hydras.Gamma0.Gamma0]
alpha:51 [in hydras.Schutte.CNF]
alpha:51 [in hydras.Schutte.Critical]
alpha:51 [in hydras.Schutte.AP]
alpha:51 [in hydras.Schutte.Ordering_Functions]
alpha:510 [in hydras.Epsilon0.Paths]
alpha:511 [in hydras.Gamma0.Gamma0]
alpha:514 [in hydras.Gamma0.Gamma0]
alpha:516 [in hydras.Epsilon0.T1]
alpha:516 [in hydras.Epsilon0.Paths]
alpha:517 [in hydras.Gamma0.Gamma0]
alpha:52 [in hydras.Epsilon0.F_alpha]
alpha:52 [in hydras.Schutte.Critical]
alpha:52 [in hydras.Epsilon0.Canon]
alpha:52 [in hydras.Epsilon0.E0]
alpha:523 [in hydras.Epsilon0.Paths]
alpha:524 [in hydras.Epsilon0.T1]
alpha:525 [in hydras.Epsilon0.T1]
alpha:526 [in hydras.Epsilon0.Paths]
alpha:529 [in hydras.Epsilon0.Paths]
alpha:53 [in hydras.Schutte.Critical]
alpha:53 [in hydras.Schutte.AP]
alpha:53 [in hydras.Schutte.Addition]
alpha:532 [in hydras.Epsilon0.Paths]
alpha:536 [in hydras.Gamma0.Gamma0]
alpha:537 [in hydras.Gamma0.Gamma0]
alpha:54 [in hydras.OrdinalNotations.ON_Omega2]
alpha:54 [in hydras.Schutte.CNF]
alpha:54 [in hydras.Epsilon0.Canon]
alpha:54 [in hydras.Epsilon0.E0]
alpha:541 [in hydras.Epsilon0.T1]
alpha:542 [in hydras.Epsilon0.T1]
alpha:544 [in hydras.Epsilon0.T1]
alpha:547 [in hydras.Epsilon0.T1]
alpha:547 [in hydras.Gamma0.Gamma0]
alpha:548 [in hydras.Epsilon0.Paths]
alpha:549 [in hydras.Epsilon0.T1]
alpha:55 [in hydras.Epsilon0.Hessenberg]
alpha:55 [in hydras.Schutte.AP]
alpha:55 [in hydras.Epsilon0.Hprime]
alpha:55 [in hydras.Epsilon0.Paths]
alpha:55 [in hydras.Schutte.Addition]
alpha:550 [in hydras.Gamma0.Gamma0]
alpha:551 [in hydras.Epsilon0.T1]
alpha:552 [in hydras.Epsilon0.Paths]
alpha:553 [in hydras.Gamma0.Gamma0]
alpha:556 [in hydras.Epsilon0.Paths]
alpha:558 [in hydras.Epsilon0.T1]
alpha:56 [in hydras.Epsilon0.F_alpha]
alpha:56 [in hydras.Schutte.CNF]
alpha:56 [in hydras.Epsilon0.Canon]
alpha:56 [in hydras.Epsilon0.E0]
alpha:56 [in hydras.Schutte.Addition]
alpha:561 [in hydras.Epsilon0.Paths]
alpha:562 [in hydras.Gamma0.Gamma0]
alpha:564 [in hydras.Epsilon0.Paths]
alpha:568 [in hydras.Epsilon0.T1]
alpha:569 [in hydras.Epsilon0.Paths]
alpha:57 [in hydras.Epsilon0.Hessenberg]
alpha:57 [in hydras.Schutte.AP]
alpha:57 [in hydras.Epsilon0.L_alpha]
alpha:57 [in hydras.Epsilon0.E0]
alpha:573 [in hydras.Epsilon0.Paths]
alpha:575 [in hydras.Gamma0.Gamma0]
alpha:576 [in hydras.Epsilon0.Paths]
alpha:576 [in hydras.Gamma0.Gamma0]
alpha:58 [in hydras.Epsilon0.F_alpha]
alpha:58 [in hydras.Schutte.CNF]
alpha:58 [in hydras.Epsilon0.L_alpha]
alpha:58 [in hydras.Epsilon0.Paths]
alpha:581 [in hydras.Gamma0.Gamma0]
alpha:582 [in hydras.Epsilon0.T1]
alpha:582 [in hydras.Epsilon0.Paths]
alpha:585 [in hydras.Epsilon0.T1]
alpha:586 [in hydras.Epsilon0.Paths]
alpha:589 [in hydras.Epsilon0.Paths]
alpha:59 [in hydras.OrdinalNotations.ON_Omega2]
alpha:59 [in hydras.Schutte.AP]
alpha:59 [in hydras.Epsilon0.L_alpha]
alpha:59 [in hydras.Epsilon0.E0]
alpha:59 [in hydras.Schutte.Addition]
alpha:6 [in hydras.Schutte.Correctness_E0]
alpha:6 [in gaia_hydras.GHprime]
alpha:6 [in hydras.OrdinalNotations.ON_Finite]
alpha:6 [in hydras.Epsilon0.E0]
alpha:6 [in gaia_hydras.GL_alpha]
alpha:6 [in hydras.Schutte.Addition]
alpha:60 [in hydras.Schutte.AP]
alpha:60 [in hydras.Epsilon0.E0]
alpha:60 [in hydras.Epsilon0.Hprime]
alpha:600 [in hydras.Gamma0.Gamma0]
alpha:602 [in hydras.Gamma0.Gamma0]
alpha:603 [in hydras.Gamma0.Gamma0]
alpha:61 [in hydras.Hydra.O2H]
alpha:61 [in hydras.Epsilon0.Hessenberg]
alpha:61 [in hydras.Schutte.CNF]
alpha:61 [in hydras.Schutte.Schutte_basics]
alpha:62 [in hydras.OrdinalNotations.ON_Omega2]
alpha:62 [in hydras.Epsilon0.E0]
alpha:62 [in hydras.Epsilon0.Paths]
alpha:621 [in hydras.Gamma0.Gamma0]
alpha:623 [in hydras.Gamma0.Gamma0]
alpha:625 [in hydras.Gamma0.Gamma0]
alpha:629 [in hydras.Gamma0.Gamma0]
alpha:63 [in hydras.Schutte.Correctness_E0]
alpha:63 [in hydras.OrdinalNotations.ON_Omega2]
alpha:63 [in hydras.Epsilon0.F_alpha]
alpha:63 [in hydras.Epsilon0.Hessenberg]
alpha:63 [in hydras.Schutte.AP]
alpha:633 [in hydras.Epsilon0.T1]
alpha:635 [in hydras.Epsilon0.T1]
alpha:638 [in hydras.Epsilon0.T1]
alpha:64 [in hydras.Epsilon0.F_alpha]
alpha:64 [in hydras.Schutte.AP]
alpha:64 [in hydras.Schutte.Addition]
alpha:640 [in hydras.Epsilon0.T1]
alpha:640 [in hydras.Gamma0.Gamma0]
alpha:642 [in hydras.Epsilon0.T1]
alpha:644 [in hydras.Gamma0.Gamma0]
alpha:645 [in hydras.Gamma0.Gamma0]
alpha:646 [in hydras.Epsilon0.T1]
alpha:646 [in hydras.Gamma0.Gamma0]
alpha:647 [in hydras.Epsilon0.T1]
alpha:649 [in hydras.Epsilon0.T1]
alpha:65 [in hydras.Schutte.Correctness_E0]
alpha:65 [in hydras.Epsilon0.E0]
alpha:65 [in hydras.Epsilon0.Hprime]
alpha:650 [in hydras.Epsilon0.T1]
alpha:652 [in hydras.Epsilon0.T1]
alpha:654 [in hydras.Epsilon0.T1]
alpha:655 [in hydras.Epsilon0.T1]
alpha:656 [in hydras.Epsilon0.T1]
alpha:657 [in hydras.Epsilon0.T1]
alpha:66 [in hydras.Schutte.AP]
alpha:66 [in hydras.OrdinalNotations.ON_Generic]
alpha:66 [in hydras.Epsilon0.E0]
alpha:660 [in hydras.Epsilon0.T1]
alpha:661 [in hydras.Epsilon0.T1]
alpha:664 [in hydras.Epsilon0.T1]
alpha:667 [in hydras.Epsilon0.T1]
alpha:669 [in hydras.Epsilon0.T1]
alpha:67 [in hydras.Schutte.Correctness_E0]
alpha:67 [in hydras.OrdinalNotations.ON_Omega2]
alpha:67 [in hydras.Epsilon0.E0]
alpha:67 [in hydras.Schutte.Addition]
alpha:671 [in hydras.Epsilon0.T1]
alpha:673 [in hydras.Epsilon0.T1]
alpha:677 [in hydras.Epsilon0.T1]
alpha:68 [in hydras.Epsilon0.Hessenberg]
alpha:68 [in hydras.Epsilon0.E0]
alpha:68 [in hydras.Epsilon0.Hprime]
alpha:681 [in hydras.Epsilon0.T1]
alpha:683 [in hydras.Epsilon0.T1]
alpha:688 [in hydras.Epsilon0.T1]
alpha:69 [in hydras.Epsilon0.Epsilon0rpo]
alpha:69 [in hydras.Schutte.AP]
alpha:69 [in hydras.Epsilon0.E0]
alpha:692 [in hydras.Epsilon0.T1]
alpha:694 [in hydras.Gamma0.Gamma0]
alpha:7 [in hydras.Schutte.Correctness_E0]
alpha:7 [in gaia_hydras.T1Choice]
alpha:7 [in hydras.Hydra.O2H]
alpha:7 [in gaia_hydras.GF_alpha]
alpha:7 [in hydras.Schutte.CNF]
alpha:7 [in hydras.Schutte.AP]
alpha:7 [in hydras.Hydra.Battle_length]
alpha:7 [in hydras.Epsilon0.E0]
alpha:7 [in hydras.Epsilon0.Paths]
alpha:7 [in gaia_hydras.GHessenberg]
alpha:70 [in hydras.Epsilon0.T1]
alpha:70 [in hydras.OrdinalNotations.ON_Omega2]
alpha:70 [in hydras.Epsilon0.Hessenberg]
alpha:70 [in hydras.Schutte.AP]
alpha:70 [in hydras.Epsilon0.Paths]
alpha:700 [in hydras.Epsilon0.T1]
alpha:700 [in hydras.Gamma0.Gamma0]
alpha:702 [in hydras.Gamma0.Gamma0]
alpha:704 [in hydras.Epsilon0.T1]
alpha:704 [in hydras.Gamma0.Gamma0]
alpha:705 [in hydras.Epsilon0.T1]
alpha:709 [in hydras.Epsilon0.T1]
alpha:71 [in hydras.Schutte.Correctness_E0]
alpha:71 [in hydras.Epsilon0.E0]
alpha:710 [in hydras.Gamma0.Gamma0]
alpha:713 [in hydras.Epsilon0.T1]
alpha:713 [in hydras.Gamma0.Gamma0]
alpha:715 [in hydras.Gamma0.Gamma0]
alpha:716 [in hydras.Epsilon0.T1]
alpha:719 [in hydras.Epsilon0.T1]
alpha:72 [in hydras.Schutte.AP]
alpha:72 [in hydras.Epsilon0.Paths]
alpha:72 [in hydras.Schutte.Addition]
alpha:73 [in hydras.OrdinalNotations.ON_Omega2]
alpha:73 [in hydras.Schutte.AP]
alpha:73 [in hydras.Epsilon0.E0]
alpha:74 [in hydras.Schutte.Correctness_E0]
alpha:74 [in hydras.Schutte.AP]
alpha:74 [in hydras.Epsilon0.Paths]
alpha:740 [in hydras.Epsilon0.T1]
alpha:75 [in hydras.Epsilon0.E0]
alpha:76 [in hydras.Epsilon0.Hessenberg]
alpha:76 [in hydras.OrdinalNotations.OmegaOmega]
alpha:77 [in hydras.Schutte.Correctness_E0]
alpha:77 [in hydras.OrdinalNotations.OmegaOmega]
alpha:77 [in hydras.Epsilon0.Canon]
alpha:77 [in hydras.Epsilon0.E0]
alpha:78 [in hydras.OrdinalNotations.OmegaOmega]
alpha:78 [in hydras.Epsilon0.E0]
alpha:8 [in hydras.Hydra.O2H]
alpha:8 [in gaia_hydras.GF_alpha]
alpha:8 [in hydras.Schutte.AP]
alpha:8 [in gaia_hydras.ON_gfinite]
alpha:8 [in hydras.Epsilon0.Canon]
alpha:8 [in hydras.Schutte.Schutte_basics]
alpha:8 [in hydras.OrdinalNotations.ON_Finite]
alpha:8 [in hydras.Epsilon0.E0]
alpha:8 [in gaia_hydras.GL_alpha]
alpha:80 [in hydras.Epsilon0.Hessenberg]
alpha:80 [in hydras.OrdinalNotations.OmegaOmega]
alpha:80 [in hydras.Epsilon0.Canon]
alpha:80 [in hydras.Epsilon0.E0]
alpha:81 [in hydras.Schutte.Critical]
alpha:82 [in hydras.Schutte.Critical]
alpha:82 [in hydras.OrdinalNotations.OmegaOmega]
alpha:82 [in hydras.Epsilon0.Paths]
alpha:83 [in hydras.Schutte.Critical]
alpha:83 [in hydras.Epsilon0.Canon]
alpha:83 [in hydras.Epsilon0.E0]
alpha:83 [in hydras.Schutte.Ordering_Functions]
alpha:84 [in hydras.Hydra.O2H]
alpha:84 [in hydras.Schutte.Critical]
alpha:84 [in hydras.OrdinalNotations.OmegaOmega]
alpha:84 [in hydras.Epsilon0.Paths]
alpha:85 [in hydras.Schutte.Critical]
alpha:85 [in hydras.Epsilon0.Canon]
alpha:85 [in hydras.Schutte.Schutte_basics]
alpha:86 [in hydras.Gamma0.T2]
alpha:86 [in hydras.Epsilon0.E0]
alpha:86 [in hydras.Epsilon0.Paths]
alpha:87 [in hydras.Epsilon0.F_alpha]
alpha:87 [in hydras.Schutte.Schutte_basics]
alpha:88 [in hydras.Hydra.O2H]
alpha:88 [in hydras.Epsilon0.F_alpha]
alpha:89 [in hydras.Epsilon0.F_alpha]
alpha:89 [in hydras.Epsilon0.E0]
alpha:89 [in hydras.Epsilon0.Paths]
alpha:9 [in hydras.Epsilon0.T1]
alpha:9 [in hydras.OrdinalNotations.ON_Omega2]
alpha:9 [in gaia_hydras.GF_alpha]
alpha:9 [in hydras.OrdinalNotations.ON_O]
alpha:9 [in hydras.Schutte.CNF]
alpha:9 [in hydras.Epsilon0.Large_Sets]
alpha:9 [in hydras.Schutte.Critical]
alpha:9 [in hydras.OrdinalNotations.ON_mult]
alpha:9 [in hydras.OrdinalNotations.ON_plus]
alpha:9 [in hydras.Schutte.Schutte_basics]
alpha:9 [in hydras.Epsilon0.E0]
alpha:9 [in hydras.Schutte.Addition]
alpha:90 [in hydras.OrdinalNotations.ON_Generic]
alpha:91 [in hydras.Epsilon0.T1]
alpha:91 [in hydras.Epsilon0.F_alpha]
alpha:92 [in hydras.OrdinalNotations.OmegaOmega]
alpha:92 [in hydras.Epsilon0.Canon]
alpha:92 [in hydras.Epsilon0.E0]
alpha:92 [in hydras.Epsilon0.Hprime]
alpha:93 [in hydras.Epsilon0.F_alpha]
alpha:94 [in hydras.Epsilon0.F_alpha]
alpha:94 [in hydras.OrdinalNotations.OmegaOmega]
alpha:94 [in hydras.Schutte.Schutte_basics]
alpha:94 [in hydras.Epsilon0.Paths]
alpha:95 [in hydras.Epsilon0.F_alpha]
alpha:95 [in hydras.Epsilon0.E0]
alpha:95 [in hydras.Epsilon0.Hprime]
alpha:96 [in hydras.Gamma0.T2]
alpha:96 [in hydras.Epsilon0.Hessenberg]
alpha:96 [in hydras.Epsilon0.Paths]
alpha:96 [in hydras.Gamma0.Gamma0]
alpha:97 [in hydras.Epsilon0.T1]
alpha:97 [in hydras.OrdinalNotations.OmegaOmega]
alpha:97 [in hydras.Epsilon0.Paths]
alpha:98 [in hydras.OrdinalNotations.OmegaOmega]
alpha:98 [in hydras.Epsilon0.Canon]
alpha:98 [in hydras.Epsilon0.E0]
alpha:99 [in hydras.Gamma0.T2]
alpha:99 [in hydras.Prelude.Comparable]
AM:105 [in additions.Pow]
AM:96 [in additions.Pow_variant]
anonymous0:360 [in additions.Euclidean_Chains]
anonymous0:366 [in additions.Euclidean_Chains]
anonymous0:372 [in additions.Euclidean_Chains]
anonymous0:379 [in additions.Euclidean_Chains]
anonymous:359 [in additions.Euclidean_Chains]
anonymous:365 [in additions.Euclidean_Chains]
anonymous:371 [in additions.Euclidean_Chains]
anonymous:378 [in additions.Euclidean_Chains]
anonymous:386 [in additions.Euclidean_Chains]
anonymous:392 [in additions.Euclidean_Chains]
anonymous:399 [in additions.Euclidean_Chains]
assoc:105 [in additions.fib]
assoc:112 [in additions.fib]
assoc:123 [in additions.fib]
aux:10 [in additions.Trace_exercise]
Axm:120 [in hydras.Ackermann.LNN2LNT]
axm:126 [in hydras.Ackermann.LNN2LNT]
Axm:128 [in hydras.Ackermann.LNN2LNT]
Axm:141 [in hydras.Ackermann.LNN2LNT]
Axm:145 [in hydras.Ackermann.LNN2LNT]
Axm:15 [in Goedel.goedel2]
Axm:19 [in Goedel.goedel2]
Axm:44 [in Goedel.rosserPA]
Axm:47 [in Goedel.rosserPA]
ax:252 [in additions.Addition_Chains]
a'':44 [in hydras.Hydra.BigBattle]
a':1022 [in gaia_hydras.nfwfgaia]
a':11 [in hydras.Prelude.Simple_LexProd]
a':1150 [in gaia_hydras.nfwfgaia]
a':116 [in hydras.Epsilon0.T1]
a':1297 [in gaia_hydras.nfwfgaia]
a':130 [in gaia_hydras.nfwfgaia]
a':1301 [in gaia_hydras.nfwfgaia]
a':1305 [in gaia_hydras.nfwfgaia]
a':1309 [in gaia_hydras.nfwfgaia]
a':1335 [in gaia_hydras.nfwfgaia]
a':1381 [in gaia_hydras.nfwfgaia]
a':1391 [in gaia_hydras.nfwfgaia]
a':1419 [in gaia_hydras.nfwfgaia]
a':1425 [in gaia_hydras.nfwfgaia]
a':1433 [in gaia_hydras.nfwfgaia]
a':1497 [in gaia_hydras.nfwfgaia]
a':1505 [in gaia_hydras.nfwfgaia]
a':153 [in hydras.rpo.more_list]
a':1548 [in gaia_hydras.nfwfgaia]
a':1582 [in gaia_hydras.nfwfgaia]
a':1606 [in gaia_hydras.nfwfgaia]
a':1615 [in gaia_hydras.nfwfgaia]
a':1624 [in gaia_hydras.nfwfgaia]
a':1632 [in gaia_hydras.nfwfgaia]
a':164 [in hydras.Epsilon0.T1]
a':1688 [in gaia_hydras.nfwfgaia]
a':169 [in hydras.rpo.rpo]
a':1694 [in gaia_hydras.nfwfgaia]
a':173 [in gaia_hydras.nfwfgaia]
a':175 [in hydras.Epsilon0.T1]
a':18 [in hydras.Epsilon0.Hessenberg]
a':189 [in hydras.rpo.rpo]
a':191 [in hydras.rpo.rpo]
a':2063 [in gaia_hydras.nfwfgaia]
a':2077 [in gaia_hydras.nfwfgaia]
a':2082 [in gaia_hydras.nfwfgaia]
a':22 [in hydras.Schutte.Correctness_E0]
a':222 [in hydras.Epsilon0.T1]
a':224 [in gaia_hydras.nfwfgaia]
a':228 [in hydras.Epsilon0.T1]
a':23 [in hydras.Hydra.BigBattle]
a':230 [in gaia_hydras.nfwfgaia]
a':237 [in hydras.rpo.rpo]
a':24 [in hydras.Epsilon0.Hessenberg]
a':24 [in additions.Monoid_instances]
a':240 [in gaia_hydras.nfwfgaia]
a':250 [in hydras.rpo.rpo]
a':255 [in hydras.rpo.rpo]
a':256 [in hydras.Epsilon0.T1]
a':257 [in gaia_hydras.nfwfgaia]
a':300 [in hydras.Gamma0.Gamma0]
a':307 [in hydras.rpo.rpo]
a':308 [in hydras.rpo.rpo]
a':32 [in hydras.Hydra.BigBattle]
a':33 [in hydras.Epsilon0.T1]
a':33 [in hydras.Gamma0.Gamma0]
a':34 [in hydras.Schutte.PartialFun]
a':346 [in hydras.Epsilon0.T1]
a':35 [in hydras.Epsilon0.Hessenberg]
a':358 [in hydras.Epsilon0.T1]
a':364 [in hydras.Epsilon0.T1]
a':378 [in hydras.Epsilon0.T1]
a':388 [in hydras.Epsilon0.T1]
a':40 [in hydras.Hydra.BigBattle]
a':41 [in hydras.Epsilon0.Hessenberg]
a':428 [in hydras.Epsilon0.T1]
a':429 [in gaia_hydras.nfwfgaia]
a':439 [in hydras.Epsilon0.T1]
a':44 [in hydras.Prelude.DecPreOrder_Instances]
a':44 [in hydras.Schutte.PartialFun]
a':48 [in hydras.Prelude.DecPreOrder_Instances]
a':49 [in hydras.Epsilon0.Epsilon0rpo]
a':51 [in hydras.Epsilon0.Hessenberg]
a':52 [in hydras.Prelude.DecPreOrder_Instances]
a':53 [in hydras.Epsilon0.T1]
a':53 [in hydras.Epsilon0.Epsilon0rpo]
a':534 [in hydras.Epsilon0.T1]
a':541 [in hydras.Ackermann.primRec]
a':56 [in hydras.Prelude.DecPreOrder_Instances]
a':56 [in hydras.Hydra.BigBattle]
a':57 [in hydras.Prelude.Sort_spec]
a':60 [in hydras.Prelude.DecPreOrder_Instances]
a':67 [in hydras.Epsilon0.T1]
a':69 [in gaia_hydras.T1Bridge]
a':725 [in hydras.Epsilon0.T1]
a':74 [in hydras.Epsilon0.T1]
a':74 [in hydras.rpo.rpo]
a':75 [in gaia_hydras.T1Bridge]
a':789 [in gaia_hydras.nfwfgaia]
a':81 [in hydras.Gamma0.T2]
a':846 [in gaia_hydras.nfwfgaia]
a':869 [in gaia_hydras.nfwfgaia]
a':896 [in gaia_hydras.nfwfgaia]
a':900 [in gaia_hydras.nfwfgaia]
a':906 [in gaia_hydras.nfwfgaia]
a':914 [in gaia_hydras.nfwfgaia]
a':942 [in gaia_hydras.nfwfgaia]
a':990 [in gaia_hydras.nfwfgaia]
a0:17 [in hydras.Schutte.Well_Orders]
a0:191 [in hydras.Ackermann.cPair]
a0:194 [in hydras.Ackermann.cPair]
a0:198 [in hydras.Ackermann.cPair]
a0:221 [in hydras.Ackermann.cPair]
a0:225 [in hydras.Ackermann.cPair]
a0:229 [in hydras.Ackermann.cPair]
a0:233 [in hydras.Ackermann.cPair]
a0:236 [in hydras.Ackermann.cPair]
a0:238 [in hydras.Ackermann.cPair]
a0:240 [in hydras.Ackermann.cPair]
a0:242 [in hydras.Ackermann.cPair]
a0:301 [in hydras.Ackermann.folProp]
a0:308 [in hydras.Ackermann.folProp]
a0:317 [in hydras.Ackermann.folProp]
a0:324 [in hydras.Ackermann.folProp]
a0:333 [in hydras.Ackermann.folProp]
a0:340 [in hydras.Ackermann.folProp]
a0:349 [in hydras.Ackermann.folProp]
a0:356 [in hydras.Ackermann.folProp]
a0:44 [in hydras.Ackermann.LNN2LNT]
a0:534 [in hydras.Ackermann.primRec]
a0:536 [in hydras.Ackermann.primRec]
a1:105 [in hydras.rpo.more_list]
a1:113 [in hydras.rpo.more_list]
A1:114 [in hydras.Schutte.Ordering_Functions]
a1:122 [in hydras.Prelude.Merge_Sort]
a1:130 [in hydras.Prelude.Merge_Sort]
a1:1360 [in hydras.Ackermann.codeSubFormula]
a1:137 [in hydras.rpo.more_list]
a1:146 [in hydras.rpo.more_list]
a1:156 [in hydras.rpo.more_list]
a1:165 [in hydras.rpo.more_list]
a1:172 [in hydras.rpo.more_list]
a1:180 [in hydras.rpo.more_list]
a1:188 [in hydras.rpo.more_list]
a1:192 [in hydras.Ackermann.cPair]
a1:195 [in hydras.Ackermann.cPair]
a1:199 [in hydras.Ackermann.cPair]
a1:2 [in hydras.rpo.decidable_set]
a1:20 [in hydras.Epsilon0.Epsilon0rpo]
a1:203 [in hydras.rpo.more_list]
a1:212 [in hydras.rpo.more_list]
a1:222 [in hydras.rpo.more_list]
a1:240 [in hydras.rpo.more_list]
a1:249 [in hydras.rpo.more_list]
a1:261 [in hydras.rpo.more_list]
a1:261 [in hydras.Gamma0.Gamma0]
a1:27 [in hydras.rpo.rpo]
a1:3 [in hydras.rpo.rpo]
a1:35 [in hydras.Gamma0.Gamma0]
a1:43 [in hydras.Gamma0.Gamma0]
a1:51 [in hydras.Gamma0.Gamma0]
a1:59 [in hydras.Gamma0.Gamma0]
a1:67 [in hydras.Gamma0.Gamma0]
a1:75 [in hydras.Gamma0.Gamma0]
a1:79 [in hydras.rpo.more_list]
a1:81 [in hydras.rpo.list_permut]
a1:82 [in hydras.Gamma0.Gamma0]
a1:89 [in hydras.rpo.more_list]
a1:97 [in hydras.rpo.more_list]
a2:106 [in hydras.rpo.more_list]
a2:114 [in hydras.rpo.more_list]
A2:115 [in hydras.Schutte.Ordering_Functions]
a2:124 [in hydras.Prelude.Merge_Sort]
a2:132 [in hydras.Prelude.Merge_Sort]
a2:1361 [in hydras.Ackermann.codeSubFormula]
a2:138 [in hydras.rpo.more_list]
a2:147 [in hydras.rpo.more_list]
a2:157 [in hydras.rpo.more_list]
a2:166 [in hydras.rpo.more_list]
a2:173 [in hydras.rpo.more_list]
a2:181 [in hydras.rpo.more_list]
a2:189 [in hydras.rpo.more_list]
a2:196 [in hydras.Ackermann.cPair]
a2:200 [in hydras.Ackermann.cPair]
a2:204 [in hydras.rpo.more_list]
a2:21 [in hydras.Epsilon0.Epsilon0rpo]
a2:213 [in hydras.rpo.more_list]
a2:223 [in hydras.rpo.more_list]
a2:241 [in hydras.rpo.more_list]
a2:250 [in hydras.rpo.more_list]
a2:262 [in hydras.rpo.more_list]
a2:262 [in hydras.Gamma0.Gamma0]
a2:28 [in hydras.rpo.rpo]
a2:3 [in hydras.rpo.decidable_set]
a2:36 [in hydras.Gamma0.Gamma0]
a2:4 [in hydras.rpo.rpo]
a2:44 [in hydras.Gamma0.Gamma0]
a2:52 [in hydras.Gamma0.Gamma0]
a2:60 [in hydras.Gamma0.Gamma0]
a2:68 [in hydras.Gamma0.Gamma0]
a2:76 [in hydras.Gamma0.Gamma0]
a2:80 [in hydras.rpo.more_list]
a2:83 [in hydras.rpo.list_permut]
a2:90 [in hydras.rpo.more_list]
a2:98 [in hydras.rpo.more_list]
a:1 [in Goedel.PRrepresentable]
a:1 [in gaia_hydras.T1Choice]
A:1 [in hydras.Prelude.DecPreOrder_Instances]
A:1 [in hydras.Prelude.Iterates]
A:1 [in hydras.solutions_exercises.predSuccUnicity]
a:1 [in hydras.Hydra.O2H]
a:1 [in additions.Compatibility]
A:1 [in hydras.Prelude.Restriction]
A:1 [in hydras.solutions_exercises.Limit_Infinity]
A:1 [in hydras.rpo.more_list]
A:1 [in hydras.Prelude.Comparable]
A:1 [in hydras.OrdinalNotations.ON_O]
A:1 [in additions.Pow_variant]
a:1 [in Goedel.fixPoint]
A:1 [in additions.Pow]
A:1 [in hydras.Prelude.Sort_spec]
A:1 [in hydras.Prelude.DecPreOrder]
a:1 [in gaia_hydras.GCanon]
A:1 [in hydras.Schutte.MoreEpsilonIota]
a:1 [in hydras.solutions_exercises.OnCodeList]
A:1 [in hydras.solutions_exercises.MultisetWf]
A:1 [in additions.Wf_transparent]
a:1 [in gaia_hydras.T1Bridge]
A:1 [in hydras.Prelude.MoreOrders]
A:1 [in additions.Monoid_def]
A:1 [in additions.Trace_exercise]
A:1 [in hydras.solutions_exercises.lt_succ_le]
a:1 [in hydras.Ackermann.prLogic]
A:1 [in hydras.OrdinalNotations.ON_mult]
A:1 [in additions.Euclidean_Chains]
A:1 [in hydras.OrdinalNotations.ON_plus]
A:1 [in hydras.Prelude.STDPP_compat]
a:1 [in hydras.solutions_exercises.MinPR]
a:1 [in hydras.Ackermann.NNtheory]
a:1 [in gaia_hydras.GLarge_Sets]
A:1 [in hydras.OrdinalNotations.ON_Generic]
A:1 [in gaia_hydras.onType]
A:1 [in additions.Addition_Chains]
a:1 [in gaia_hydras.GaiaToHydra]
A:1 [in hydras.Schutte.Ordering_Functions]
a:1 [in hydras.Gamma0.Gamma0]
A:1 [in hydras.rpo.closure]
A:1 [in hydras.rpo.rpo]
A:1 [in hydras.Prelude.MoreVectors]
a:10 [in gaia_hydras.T1Choice]
A:10 [in additions.Pow_variant]
a:10 [in Goedel.fixPoint]
A:10 [in additions.Pow]
A:10 [in hydras.Prelude.DecPreOrder]
a:10 [in gaia_hydras.GCanon]
a:10 [in hydras.Hydra.Hydra_Termination]
a:10 [in hydras.Ackermann.prLogic]
a:10 [in hydras.Schutte.Ordering_Functions]
A:10 [in hydras.rpo.closure]
a:10 [in hydras.Prelude.Simple_LexProd]
A:10 [in hydras.Ackermann.expressible]
a:100 [in hydras.rpo.more_list]
a:100 [in hydras.Ackermann.cPair]
a:100 [in gaia_hydras.nfwfgaia]
a:1000 [in gaia_hydras.nfwfgaia]
a:1003 [in gaia_hydras.nfwfgaia]
a:1006 [in gaia_hydras.nfwfgaia]
a:1008 [in gaia_hydras.nfwfgaia]
A:101 [in additions.fib]
A:101 [in additions.Addition_Chains]
a:1012 [in gaia_hydras.nfwfgaia]
a:1014 [in gaia_hydras.nfwfgaia]
a:1019 [in gaia_hydras.nfwfgaia]
a:102 [in hydras.Prelude.Merge_Sort]
a:102 [in gaia_hydras.T1Bridge]
a:102 [in hydras.Ackermann.cPair]
a:102 [in hydras.Ackermann.folLogic3]
a:1026 [in gaia_hydras.nfwfgaia]
a:1029 [in gaia_hydras.nfwfgaia]
a:103 [in hydras.Gamma0.T2]
A:103 [in additions.AM]
a:103 [in hydras.Epsilon0.Hessenberg]
a:103 [in hydras.MoreAck.AckNotPR]
a:103 [in hydras.Ackermann.cPair]
a:1034 [in gaia_hydras.nfwfgaia]
A:104 [in hydras.rpo.more_list]
a:104 [in gaia_hydras.T1Bridge]
a:1049 [in gaia_hydras.nfwfgaia]
a:105 [in hydras.MoreAck.AckNotPR]
a:105 [in hydras.Ackermann.cPair]
a:105 [in hydras.Ackermann.codeList]
a:105 [in gaia_hydras.nfwfgaia]
A:105 [in hydras.MoreAck.PrimRecExamples]
a:106 [in hydras.Gamma0.T2]
a:106 [in hydras.Epsilon0.Hessenberg]
a:106 [in gaia_hydras.T1Bridge]
A:106 [in hydras.OrdinalNotations.ON_Generic]
a:107 [in hydras.Hydra.O2H]
a:107 [in gaia_hydras.T1Bridge]
a:107 [in hydras.Ackermann.cPair]
a:107 [in gaia_hydras.nfwfgaia]
a:1077 [in gaia_hydras.nfwfgaia]
a:1079 [in gaia_hydras.nfwfgaia]
A:108 [in additions.AM]
A:108 [in hydras.Prelude.MoreLists]
a:108 [in hydras.rpo.more_list]
a:108 [in hydras.Ackermann.codeSubFormula]
A:108 [in additions.fib]
A:108 [in hydras.Hydra.Hydra_Lemmas]
a:1080 [in gaia_hydras.nfwfgaia]
a:1081 [in gaia_hydras.nfwfgaia]
a:1082 [in gaia_hydras.nfwfgaia]
a:1083 [in gaia_hydras.nfwfgaia]
a:109 [in gaia_hydras.T1Bridge]
a:109 [in hydras.Ackermann.cPair]
A:109 [in additions.Addition_Chains]
a:1097 [in gaia_hydras.nfwfgaia]
a:1099 [in gaia_hydras.nfwfgaia]
A:11 [in hydras.rpo.more_list]
a:11 [in hydras.OrdinalNotations.ON_O]
a:11 [in hydras.Schutte.Lub]
A:11 [in hydras.Ackermann.folProp]
A:11 [in hydras.MoreAck.AckNotPR]
a:11 [in gaia_hydras.T1Bridge]
a:11 [in hydras.Ackermann.prLogic]
A:11 [in additions.Euclidean_Chains]
a:11 [in hydras.Schutte.PartialFun]
a:11 [in hydras.Schutte.Schutte_basics]
a:11 [in hydras.Ackermann.NNtheory]
a:11 [in gaia_hydras.GLarge_Sets]
A:11 [in hydras.OrdinalNotations.ON_Generic]
a:11 [in Goedel.goedel1]
a:11 [in hydras.Ackermann.NN]
a:11 [in hydras.rpo.dickson]
a:11 [in hydras.solutions_exercises.isqrt]
a:11 [in gaia_hydras.T2Bridge]
a:11 [in Goedel.goedel2]
a:11 [in hydras.Ackermann.expressible]
A:11 [in hydras.Prelude.MoreVectors]
a:110 [in hydras.Ackermann.cPair]
A:110 [in additions.Euclidean_Chains]
a:110 [in hydras.Ackermann.codeList]
a:110 [in hydras.rpo.rpo]
a:1101 [in gaia_hydras.nfwfgaia]
a:1103 [in gaia_hydras.nfwfgaia]
a:1106 [in gaia_hydras.nfwfgaia]
a:1109 [in gaia_hydras.nfwfgaia]
a:111 [in gaia_hydras.T1Bridge]
a:111 [in gaia_hydras.nfwfgaia]
a:1111 [in gaia_hydras.nfwfgaia]
a:112 [in hydras.Hydra.O2H]
A:112 [in hydras.rpo.more_list]
a:112 [in gaia_hydras.T1Bridge]
a:112 [in hydras.Ackermann.cPair]
a:1126 [in gaia_hydras.nfwfgaia]
a:1129 [in gaia_hydras.nfwfgaia]
a:113 [in hydras.Epsilon0.T1]
a:113 [in hydras.Ackermann.cPair]
a:113 [in hydras.Schutte.Ordering_Functions]
a:113 [in gaia_hydras.nfwfgaia]
a:1131 [in gaia_hydras.nfwfgaia]
a:1135 [in gaia_hydras.nfwfgaia]
a:1136 [in gaia_hydras.nfwfgaia]
a:1137 [in gaia_hydras.nfwfgaia]
a:1144 [in gaia_hydras.nfwfgaia]
a:1148 [in gaia_hydras.nfwfgaia]
a:115 [in hydras.Epsilon0.Hessenberg]
A:115 [in additions.Addition_Chains]
a:1154 [in gaia_hydras.nfwfgaia]
a:1158 [in gaia_hydras.nfwfgaia]
a:116 [in gaia_hydras.T1Bridge]
A:116 [in additions.fib]
a:1160 [in gaia_hydras.nfwfgaia]
a:1162 [in gaia_hydras.nfwfgaia]
a:1164 [in gaia_hydras.nfwfgaia]
a:1166 [in gaia_hydras.nfwfgaia]
a:1169 [in gaia_hydras.nfwfgaia]
a:117 [in gaia_hydras.T1Bridge]
a:117 [in hydras.Ackermann.cPair]
a:117 [in gaia_hydras.nfwfgaia]
a:1171 [in gaia_hydras.nfwfgaia]
A:118 [in additions.AM]
A:119 [in hydras.Prelude.MoreLists]
a:119 [in hydras.Epsilon0.Hessenberg]
a:119 [in gaia_hydras.T1Bridge]
a:119 [in hydras.Ackermann.cPair]
a:1191 [in gaia_hydras.nfwfgaia]
a:1193 [in gaia_hydras.nfwfgaia]
a:1195 [in gaia_hydras.nfwfgaia]
a:1199 [in gaia_hydras.nfwfgaia]
a:12 [in gaia_hydras.T1Choice]
a:12 [in hydras.Prelude.WfVariant]
a:12 [in hydras.Ackermann.extEqualNat]
A:12 [in hydras.Prelude.Comparable]
a:12 [in hydras.OrdinalNotations.ON_O]
a:12 [in gaia_hydras.GPaths]
a:12 [in gaia_hydras.GCanon]
a:12 [in hydras.OrdinalNotations.OmegaOmega]
A:12 [in hydras.Prelude.STDPP_compat]
a:12 [in hydras.Ackermann.NN]
a:12 [in hydras.rpo.closure]
a:12 [in hydras.solutions_exercises.T1_ltNotWf]
A:12 [in hydras.rpo.rpo]
a:1208 [in gaia_hydras.nfwfgaia]
a:1209 [in hydras.Ackermann.codeSubFormula]
A:121 [in hydras.rpo.more_list]
a:121 [in hydras.Epsilon0.Hessenberg]
A:121 [in hydras.OrdinalNotations.ON_Generic]
a:1211 [in gaia_hydras.nfwfgaia]
a:1212 [in hydras.Ackermann.codeSubFormula]
a:1214 [in gaia_hydras.nfwfgaia]
a:1216 [in hydras.Ackermann.codeSubFormula]
a:122 [in gaia_hydras.T1Bridge]
A:122 [in additions.Addition_Chains]
A:122 [in hydras.Schutte.Ordering_Functions]
a:1226 [in gaia_hydras.nfwfgaia]
a:123 [in hydras.Gamma0.T2]
A:123 [in additions.AM]
a:123 [in hydras.Epsilon0.Hessenberg]
a:123 [in gaia_hydras.T1Bridge]
a:123 [in hydras.Ackermann.fol]
a:1231 [in gaia_hydras.nfwfgaia]
a:1233 [in gaia_hydras.nfwfgaia]
a:1235 [in gaia_hydras.nfwfgaia]
a:1237 [in gaia_hydras.nfwfgaia]
A:124 [in Goedel.PRrepresentable]
a:124 [in hydras.Ackermann.folProp]
a:124 [in gaia_hydras.T1Bridge]
a:1240 [in gaia_hydras.nfwfgaia]
a:1244 [in gaia_hydras.nfwfgaia]
a:1248 [in gaia_hydras.nfwfgaia]
a:125 [in hydras.Epsilon0.T1]
a:125 [in hydras.rpo.more_list]
a:125 [in hydras.Epsilon0.Hessenberg]
a:125 [in gaia_hydras.T1Bridge]
a:125 [in additions.fib]
a:1252 [in gaia_hydras.nfwfgaia]
a:1255 [in gaia_hydras.nfwfgaia]
a:1258 [in gaia_hydras.nfwfgaia]
A:126 [in hydras.Prelude.MoreLists]
a:126 [in gaia_hydras.T1Bridge]
a:1261 [in gaia_hydras.nfwfgaia]
a:127 [in hydras.Gamma0.T2]
a:127 [in gaia_hydras.T1Bridge]
a:127 [in gaia_hydras.nfwfgaia]
a:1270 [in gaia_hydras.nfwfgaia]
a:1271 [in gaia_hydras.nfwfgaia]
a:1273 [in gaia_hydras.nfwfgaia]
a:1275 [in gaia_hydras.nfwfgaia]
a:1278 [in gaia_hydras.nfwfgaia]
a:128 [in hydras.Epsilon0.Hessenberg]
a:128 [in hydras.Ackermann.fol]
A:128 [in hydras.Hydra.Hydra_Lemmas]
a:1281 [in hydras.Ackermann.codeSubFormula]
a:1283 [in hydras.Ackermann.codeSubFormula]
a:1283 [in gaia_hydras.nfwfgaia]
a:1285 [in hydras.Ackermann.codeSubFormula]
a:1286 [in gaia_hydras.nfwfgaia]
a:1289 [in hydras.Ackermann.codeSubFormula]
a:1289 [in gaia_hydras.nfwfgaia]
a:129 [in gaia_hydras.T1Bridge]
A:129 [in additions.Addition_Chains]
a:1292 [in gaia_hydras.nfwfgaia]
a:1295 [in gaia_hydras.nfwfgaia]
a:1299 [in gaia_hydras.nfwfgaia]
a:13 [in hydras.Prelude.Restriction]
a:13 [in Goedel.fixPoint]
a:13 [in gaia_hydras.GCanon]
a:13 [in gaia_hydras.T1Bridge]
a:13 [in hydras.Ackermann.prLogic]
a:13 [in hydras.Hydra.BigBattle]
a:13 [in hydras.Ackermann.NNtheory]
a:13 [in hydras.Schutte.Well_Orders]
A:13 [in additions.Addition_Chains]
a:13 [in hydras.Schutte.Ordering_Functions]
a:13 [in hydras.solutions_exercises.isqrt]
a:130 [in hydras.OrdinalNotations.ON_Generic]
a:1303 [in gaia_hydras.nfwfgaia]
a:1307 [in gaia_hydras.nfwfgaia]
a:131 [in hydras.Epsilon0.T1]
A:131 [in Goedel.PRrepresentable]
a:131 [in hydras.Gamma0.T2]
A:131 [in hydras.Prelude.MoreLists]
A:131 [in hydras.rpo.more_list]
a:131 [in hydras.Epsilon0.Hessenberg]
a:131 [in gaia_hydras.T1Bridge]
a:1312 [in gaia_hydras.nfwfgaia]
a:1314 [in gaia_hydras.nfwfgaia]
a:1318 [in gaia_hydras.nfwfgaia]
a:132 [in gaia_hydras.T1Bridge]
a:1320 [in gaia_hydras.nfwfgaia]
a:133 [in gaia_hydras.T1Bridge]
A:133 [in hydras.OrdinalNotations.ON_Generic]
a:133 [in gaia_hydras.nfwfgaia]
a:1330 [in gaia_hydras.nfwfgaia]
a:134 [in hydras.rpo.more_list]
a:1345 [in gaia_hydras.nfwfgaia]
a:135 [in hydras.Gamma0.T2]
A:135 [in hydras.rpo.more_list]
a:1350 [in gaia_hydras.nfwfgaia]
a:1355 [in gaia_hydras.nfwfgaia]
a:136 [in hydras.Epsilon0.T1]
A:136 [in hydras.Prelude.MoreLists]
a:136 [in hydras.Ackermann.codeSubFormula]
a:136 [in hydras.Ackermann.primRec]
a:136 [in gaia_hydras.nfwfgaia]
a:1360 [in gaia_hydras.nfwfgaia]
a:1365 [in gaia_hydras.nfwfgaia]
a:137 [in hydras.Ackermann.LNT]
A:137 [in hydras.Ackermann.fol]
a:1370 [in gaia_hydras.nfwfgaia]
a:1376 [in gaia_hydras.nfwfgaia]
a:138 [in hydras.Ackermann.codeSubFormula]
a:138 [in hydras.Ackermann.primRec]
a:138 [in additions.fib]
a:1388 [in gaia_hydras.nfwfgaia]
a:139 [in hydras.Ackermann.LNT]
a:14 [in Goedel.PRrepresentable]
a:14 [in hydras.solutions_exercises.MinPR2]
a:14 [in hydras.Prelude.WfVariant]
a:14 [in hydras.Ackermann.extEqualNat]
a:14 [in hydras.Schutte.MoreEpsilonIota]
a:14 [in hydras.solutions_exercises.MultisetWf]
a:14 [in hydras.Ackermann.folLogic3]
A:14 [in additions.Addition_Chains]
a:14 [in hydras.solutions_exercises.T1_ltNotWf]
a:14 [in hydras.MoreAck.PrimRecExamples]
a:14 [in hydras.Prelude.Simple_LexProd]
A:14 [in hydras.Prelude.MoreVectors]
a:140 [in hydras.Gamma0.T2]
a:140 [in hydras.rpo.more_list]
a:140 [in hydras.Ackermann.LNN]
a:140 [in hydras.Ackermann.primRec]
A:140 [in hydras.Ackermann.fol]
a:1407 [in gaia_hydras.nfwfgaia]
A:141 [in hydras.Prelude.MoreLists]
a:141 [in gaia_hydras.T1Bridge]
a:141 [in hydras.Gamma0.Gamma0]
a:1416 [in gaia_hydras.nfwfgaia]
A:142 [in Goedel.PRrepresentable]
a:142 [in hydras.Ackermann.LNN]
a:142 [in hydras.Ackermann.LNT]
a:142 [in gaia_hydras.T1Bridge]
A:142 [in additions.Euclidean_Chains]
A:142 [in hydras.Ackermann.fol]
a:1422 [in gaia_hydras.nfwfgaia]
a:1428 [in gaia_hydras.nfwfgaia]
a:143 [in hydras.Ackermann.primRec]
a:143 [in additions.fib]
A:143 [in hydras.Schutte.Ordering_Functions]
a:144 [in hydras.Gamma0.T2]
A:144 [in hydras.rpo.more_list]
a:144 [in gaia_hydras.T1Bridge]
A:144 [in hydras.Ackermann.fol]
A:144 [in hydras.Hydra.Hydra_Definitions]
a:1441 [in gaia_hydras.nfwfgaia]
a:1443 [in gaia_hydras.nfwfgaia]
a:1445 [in gaia_hydras.nfwfgaia]
a:1447 [in gaia_hydras.nfwfgaia]
a:1449 [in gaia_hydras.nfwfgaia]
a:145 [in hydras.Ackermann.LNN]
a:146 [in hydras.Gamma0.T2]
a:146 [in hydras.Ackermann.LNT]
a:146 [in hydras.Ackermann.primRec]
A:146 [in hydras.Ackermann.fol]
A:146 [in hydras.OrdinalNotations.ON_Generic]
a:1460 [in gaia_hydras.nfwfgaia]
a:1461 [in gaia_hydras.nfwfgaia]
a:1463 [in gaia_hydras.nfwfgaia]
a:1465 [in gaia_hydras.nfwfgaia]
a:1468 [in gaia_hydras.nfwfgaia]
A:147 [in hydras.Ackermann.fol]
A:147 [in hydras.Schutte.Ordering_Functions]
a:1470 [in gaia_hydras.nfwfgaia]
A:148 [in additions.Euclidean_Chains]
a:148 [in additions.fib]
a:149 [in hydras.rpo.more_list]
a:149 [in hydras.Ackermann.LNN]
a:149 [in hydras.Ackermann.primRec]
A:149 [in additions.Euclidean_Chains]
A:149 [in hydras.Ackermann.fol]
a:1492 [in gaia_hydras.nfwfgaia]
A:15 [in hydras.Prelude.DecPreOrder_Instances]
A:15 [in hydras.rpo.more_list]
a:15 [in hydras.OrdinalNotations.ON_O]
a:15 [in hydras.Epsilon0.Hessenberg]
A:15 [in hydras.Prelude.DecPreOrder]
a:15 [in gaia_hydras.GCanon]
a:15 [in hydras.OrdinalNotations.OmegaOmega]
a:15 [in gaia_hydras.T1Bridge]
a:15 [in hydras.Schutte.Schutte_basics]
a:15 [in hydras.Prelude.MoreDecidable]
a:15 [in hydras.Schutte.Ordering_Functions]
A:15 [in hydras.rpo.closure]
A:15 [in hydras.MoreAck.FolExamples]
a:15 [in gaia_hydras.GHessenberg]
a:150 [in gaia_hydras.T1Bridge]
A:150 [in additions.Euclidean_Chains]
A:150 [in hydras.Schutte.Ordering_Functions]
a:1502 [in gaia_hydras.nfwfgaia]
a:1509 [in gaia_hydras.nfwfgaia]
a:151 [in hydras.Ackermann.LNT]
a:152 [in gaia_hydras.nfwfgaia]
a:1521 [in gaia_hydras.nfwfgaia]
a:1524 [in gaia_hydras.nfwfgaia]
a:1527 [in gaia_hydras.nfwfgaia]
A:153 [in Goedel.PRrepresentable]
a:153 [in hydras.Ackermann.primRec]
a:153 [in hydras.Ackermann.fol]
a:1531 [in gaia_hydras.nfwfgaia]
a:1536 [in gaia_hydras.nfwfgaia]
A:154 [in hydras.rpo.more_list]
a:154 [in hydras.Ackermann.LNN]
a:154 [in gaia_hydras.nfwfgaia]
A:154 [in hydras.Hydra.Hydra_Definitions]
a:1540 [in gaia_hydras.nfwfgaia]
a:1543 [in gaia_hydras.nfwfgaia]
A:155 [in additions.Euclidean_Chains]
a:1551 [in gaia_hydras.nfwfgaia]
a:1558 [in gaia_hydras.nfwfgaia]
a:156 [in hydras.Ackermann.LNT]
a:156 [in gaia_hydras.nfwfgaia]
a:1561 [in gaia_hydras.nfwfgaia]
a:1564 [in gaia_hydras.nfwfgaia]
a:1568 [in gaia_hydras.nfwfgaia]
a:157 [in hydras.Ackermann.primRec]
a:1574 [in gaia_hydras.nfwfgaia]
a:1578 [in gaia_hydras.nfwfgaia]
a:158 [in gaia_hydras.T1Bridge]
a:158 [in hydras.Ackermann.fol]
a:158 [in gaia_hydras.nfwfgaia]
a:1587 [in gaia_hydras.nfwfgaia]
a:159 [in hydras.rpo.more_list]
a:159 [in hydras.Ackermann.LNN]
A:159 [in hydras.OrdinalNotations.ON_Generic]
A:159 [in additions.Addition_Chains]
a:1592 [in gaia_hydras.nfwfgaia]
a:1595 [in gaia_hydras.nfwfgaia]
a:1598 [in gaia_hydras.nfwfgaia]
a:16 [in hydras.solutions_exercises.MinPR2]
a:16 [in additions.Fib2]
a:16 [in hydras.Prelude.Comparable]
A:16 [in additions.Pow_variant]
a:16 [in Goedel.fixPoint]
A:16 [in additions.Pow]
a:16 [in hydras.Prelude.Sort_spec]
A:16 [in hydras.MoreAck.AckNotPR]
a:16 [in hydras.Schutte.MoreEpsilonIota]
a:16 [in hydras.OrdinalNotations.OmegaOmega]
a:16 [in hydras.Hydra.BigBattle]
A:16 [in hydras.Ackermann.fol]
a:16 [in hydras.Ackermann.NNtheory]
a:16 [in gaia_hydras.GLarge_Sets]
a:16 [in hydras.Schutte.Well_Orders]
a:16 [in Goedel.rosser]
A:16 [in hydras.Ackermann.expressible]
A:16 [in hydras.Prelude.MoreVectors]
a:160 [in hydras.Epsilon0.T1]
a:160 [in gaia_hydras.nfwfgaia]
a:1601 [in gaia_hydras.nfwfgaia]
a:161 [in hydras.Ackermann.LNT]
a:161 [in hydras.Ackermann.primRec]
a:161 [in hydras.Ackermann.fol]
a:1612 [in gaia_hydras.nfwfgaia]
a:162 [in hydras.Epsilon0.T1]
a:162 [in hydras.Ackermann.LNN]
a:162 [in gaia_hydras.T1Bridge]
A:162 [in additions.Euclidean_Chains]
a:162 [in hydras.rpo.rpo]
a:1621 [in gaia_hydras.nfwfgaia]
a:1629 [in gaia_hydras.nfwfgaia]
A:163 [in hydras.rpo.more_list]
a:1635 [in gaia_hydras.nfwfgaia]
a:164 [in gaia_hydras.T1Bridge]
a:164 [in hydras.Ackermann.fol]
A:165 [in hydras.Prelude.MoreLists]
a:165 [in hydras.Gamma0.Gamma0]
a:1650 [in gaia_hydras.nfwfgaia]
a:166 [in gaia_hydras.T1Bridge]
a:166 [in hydras.Ackermann.cPair]
A:166 [in additions.Addition_Chains]
a:1660 [in gaia_hydras.nfwfgaia]
a:167 [in hydras.Epsilon0.T1]
a:167 [in hydras.Ackermann.primRec]
a:167 [in hydras.Ackermann.fol]
a:1671 [in gaia_hydras.nfwfgaia]
a:1674 [in gaia_hydras.nfwfgaia]
a:168 [in hydras.rpo.more_list]
a:168 [in gaia_hydras.T1Bridge]
A:168 [in additions.Euclidean_Chains]
a:169 [in Goedel.PRrepresentable]
a:169 [in hydras.Ackermann.LNN]
a:169 [in hydras.Ackermann.primRec]
a:169 [in hydras.OrdinalNotations.ON_Generic]
a:169 [in hydras.Gamma0.Gamma0]
A:17 [in hydras.Prelude.Iterates]
a:17 [in gaia_hydras.GPaths]
a:17 [in hydras.Ackermann.folProp]
a:17 [in gaia_hydras.GCanon]
A:17 [in hydras.Schutte.MoreEpsilonIota]
a:17 [in hydras.OrdinalNotations.OmegaOmega]
A:17 [in additions.Euclidean_Chains]
a:17 [in hydras.Schutte.PartialFun]
a:17 [in hydras.rpo.closure]
a:17 [in hydras.solutions_exercises.T1_ltNotWf]
A:17 [in hydras.rpo.rpo]
a:170 [in hydras.Epsilon0.T1]
a:170 [in Goedel.PRrepresentable]
A:170 [in hydras.rpo.more_list]
a:170 [in hydras.Ackermann.model]
a:170 [in gaia_hydras.nfwfgaia]
A:171 [in hydras.Epsilon0.Large_Sets]
a:171 [in hydras.Ackermann.primRec]
A:171 [in hydras.OrdinalNotations.ON_Generic]
a:1718 [in gaia_hydras.nfwfgaia]
a:1719 [in gaia_hydras.nfwfgaia]
A:172 [in hydras.Prelude.Iterates]
a:172 [in hydras.Ackermann.model]
a:172 [in hydras.Prelude.Merge_Sort]
A:172 [in additions.Addition_Chains]
a:1720 [in gaia_hydras.nfwfgaia]
a:1721 [in gaia_hydras.nfwfgaia]
a:1722 [in gaia_hydras.nfwfgaia]
a:173 [in hydras.Epsilon0.T1]
a:173 [in hydras.Ackermann.folProp]
a:1736 [in gaia_hydras.nfwfgaia]
a:1738 [in gaia_hydras.nfwfgaia]
A:174 [in hydras.Ackermann.model]
a:174 [in hydras.Ackermann.cPair]
a:1740 [in gaia_hydras.nfwfgaia]
a:1742 [in gaia_hydras.nfwfgaia]
a:1745 [in gaia_hydras.nfwfgaia]
a:1749 [in gaia_hydras.nfwfgaia]
a:175 [in hydras.rpo.more_list]
a:175 [in hydras.Ackermann.model]
a:175 [in hydras.Ackermann.primRec]
a:175 [in hydras.Ackermann.fol]
a:1752 [in gaia_hydras.nfwfgaia]
a:176 [in hydras.Ackermann.cPair]
A:176 [in hydras.Schutte.Ordering_Functions]
a:176 [in gaia_hydras.nfwfgaia]
a:1768 [in gaia_hydras.nfwfgaia]
a:177 [in hydras.Ackermann.primRec]
a:1771 [in gaia_hydras.nfwfgaia]
a:1773 [in gaia_hydras.nfwfgaia]
a:1777 [in gaia_hydras.nfwfgaia]
a:1778 [in gaia_hydras.nfwfgaia]
a:1779 [in gaia_hydras.nfwfgaia]
a:178 [in hydras.Epsilon0.T1]
A:178 [in hydras.rpo.more_list]
a:178 [in hydras.Ackermann.cPair]
a:1782 [in gaia_hydras.nfwfgaia]
a:1783 [in gaia_hydras.nfwfgaia]
a:179 [in hydras.Ackermann.model]
a:179 [in hydras.Ackermann.primRec]
A:179 [in hydras.Schutte.Ordering_Functions]
a:179 [in gaia_hydras.nfwfgaia]
a:1791 [in gaia_hydras.nfwfgaia]
a:1796 [in gaia_hydras.nfwfgaia]
a:1798 [in gaia_hydras.nfwfgaia]
a:18 [in Goedel.PRrepresentable]
a:18 [in hydras.Prelude.Comparable]
a:18 [in hydras.OrdinalNotations.ON_O]
a:18 [in hydras.solutions_exercises.MorePRExamples]
A:18 [in additions.Monoid_def]
a:18 [in hydras.Hydra.BigBattle]
A:18 [in hydras.Ackermann.fol]
A:18 [in gaia_hydras.GLarge_Sets]
A:18 [in additions.Addition_Chains]
A:18 [in hydras.Schutte.Ordering_Functions]
A:18 [in Goedel.rosser]
A:18 [in hydras.rpo.closure]
a:18 [in hydras.solutions_exercises.T1_ltNotWf]
A:18 [in hydras.Ackermann.expressible]
a:180 [in hydras.Ackermann.folProp]
a:180 [in hydras.Ackermann.cPair]
a:180 [in gaia_hydras.nfwfgaia]
a:1802 [in gaia_hydras.nfwfgaia]
a:1804 [in gaia_hydras.nfwfgaia]
a:1806 [in gaia_hydras.nfwfgaia]
a:1808 [in gaia_hydras.nfwfgaia]
a:181 [in hydras.Epsilon0.T1]
A:181 [in hydras.Ackermann.model]
a:1810 [in gaia_hydras.nfwfgaia]
a:1813 [in gaia_hydras.nfwfgaia]
a:1815 [in gaia_hydras.nfwfgaia]
a:182 [in hydras.Ackermann.model]
A:182 [in additions.Euclidean_Chains]
A:182 [in additions.Addition_Chains]
a:182 [in gaia_hydras.nfwfgaia]
a:183 [in hydras.rpo.more_list]
a:183 [in hydras.Ackermann.primRec]
a:1835 [in gaia_hydras.nfwfgaia]
a:1837 [in gaia_hydras.nfwfgaia]
a:1839 [in gaia_hydras.nfwfgaia]
A:184 [in hydras.OrdinalNotations.ON_Generic]
A:184 [in hydras.Schutte.Ordering_Functions]
a:1841 [in gaia_hydras.nfwfgaia]
a:1843 [in gaia_hydras.nfwfgaia]
a:185 [in additions.Addition_Chains]
a:185 [in hydras.Schutte.Ordering_Functions]
a:1856 [in gaia_hydras.nfwfgaia]
a:186 [in hydras.Epsilon0.T1]
A:186 [in hydras.rpo.more_list]
a:186 [in hydras.Ackermann.model]
a:186 [in hydras.Ackermann.primRec]
a:1860 [in gaia_hydras.nfwfgaia]
a:1865 [in gaia_hydras.nfwfgaia]
a:1869 [in gaia_hydras.nfwfgaia]
A:187 [in hydras.Prelude.MoreLists]
A:187 [in hydras.Schutte.Ordering_Functions]
a:1877 [in gaia_hydras.nfwfgaia]
a:188 [in additions.Euclidean_Chains]
a:1886 [in gaia_hydras.nfwfgaia]
a:189 [in hydras.Ackermann.folProp]
a:189 [in hydras.Ackermann.primRec]
A:19 [in hydras.Ackermann.folProof]
a:19 [in Goedel.fixPoint]
a:19 [in gaia_hydras.GCanon]
a:19 [in hydras.Ackermann.cPair]
a:19 [in gaia_hydras.GHydra]
A:19 [in hydras.solutions_exercises.T1_ltNotWf]
a:19 [in gaia_hydras.GHessenberg]
a:19 [in hydras.Ackermann.expressible]
a:192 [in hydras.Ackermann.model]
a:193 [in hydras.rpo.more_list]
a:193 [in additions.Addition_Chains]
a:194 [in hydras.rpo.more_list]
a:194 [in hydras.Ackermann.model]
a:194 [in hydras.Ackermann.primRec]
A:194 [in additions.Euclidean_Chains]
a:195 [in hydras.rpo.more_list]
a:196 [in hydras.rpo.more_list]
a:196 [in hydras.Ackermann.model]
a:196 [in hydras.Ackermann.folProp]
a:196 [in additions.Addition_Chains]
a:197 [in hydras.Epsilon0.T1]
a:197 [in hydras.Ackermann.primRec]
a:198 [in hydras.Ackermann.model]
A:198 [in hydras.OrdinalNotations.ON_Generic]
a:2 [in hydras.Hydra.O2H]
a:2 [in gaia_hydras.GF_alpha]
a:2 [in gaia_hydras.GPaths]
A:2 [in hydras.Ackermann.model]
A:2 [in additions.Euclidean_Chains]
a:2 [in hydras.Ackermann.ListExt]
a:2 [in hydras.Ackermann.NN]
A:20 [in hydras.rpo.more_list]
a:20 [in hydras.Prelude.Comparable]
a:20 [in hydras.Prelude.Sort_spec]
A:20 [in hydras.Prelude.DecPreOrder]
a:20 [in hydras.Ackermann.folProp]
A:20 [in hydras.MoreAck.AckNotPR]
A:20 [in hydras.Schutte.MoreEpsilonIota]
a:20 [in hydras.solutions_exercises.MultisetWf]
a:20 [in hydras.Hydra.BigBattle]
A:20 [in hydras.Ackermann.fol]
a:20 [in additions.Monoid_instances]
a:20 [in hydras.Schutte.Well_Orders]
a:20 [in hydras.Ackermann.NN]
A:20 [in hydras.rpo.closure]
A:200 [in hydras.Ackermann.model]
a:200 [in hydras.Ackermann.primRec]
a:2006 [in gaia_hydras.nfwfgaia]
A:201 [in hydras.Prelude.MoreLists]
A:201 [in hydras.rpo.more_list]
a:201 [in hydras.Ackermann.model]
a:201 [in additions.Addition_Chains]
a:202 [in additions.Addition_Chains]
a:2021 [in gaia_hydras.nfwfgaia]
a:2025 [in gaia_hydras.nfwfgaia]
a:2030 [in gaia_hydras.nfwfgaia]
a:2037 [in gaia_hydras.nfwfgaia]
a:2047 [in gaia_hydras.nfwfgaia]
a:205 [in hydras.Ackermann.model]
a:205 [in hydras.Ackermann.folProp]
a:205 [in hydras.Ackermann.primRec]
a:2050 [in gaia_hydras.nfwfgaia]
a:2053 [in gaia_hydras.nfwfgaia]
A:206 [in hydras.Prelude.MoreLists]
a:206 [in additions.Addition_Chains]
a:2061 [in gaia_hydras.nfwfgaia]
A:207 [in hydras.Ackermann.model]
a:207 [in gaia_hydras.nfwfgaia]
a:2070 [in gaia_hydras.nfwfgaia]
a:2073 [in gaia_hydras.nfwfgaia]
a:208 [in hydras.Ackermann.model]
a:208 [in hydras.Ackermann.primRec]
A:208 [in additions.Euclidean_Chains]
a:209 [in hydras.OrdinalNotations.ON_Generic]
a:21 [in hydras.Schutte.Correctness_E0]
a:21 [in additions.Fib2]
A:21 [in hydras.Prelude.MoreLists]
a:21 [in hydras.OrdinalNotations.ON_O]
a:21 [in gaia_hydras.GPaths]
a:21 [in hydras.Epsilon0.Hessenberg]
A:21 [in additions.Monoid_def]
a:21 [in hydras.Ackermann.cPair]
A:21 [in additions.Euclidean_Chains]
a:21 [in hydras.Prelude.MoreDecidable]
a:21 [in hydras.Ackermann.NN]
a:21 [in gaia_hydras.GL_alpha]
a:21 [in gaia_hydras.GHessenberg]
A:210 [in hydras.rpo.more_list]
a:210 [in hydras.Ackermann.codeList]
a:210 [in gaia_hydras.nfwfgaia]
a:2109 [in gaia_hydras.nfwfgaia]
a:211 [in hydras.Epsilon0.T1]
a:211 [in hydras.Ackermann.primRec]
a:211 [in hydras.OrdinalNotations.ON_Generic]
a:212 [in hydras.Epsilon0.T1]
a:212 [in hydras.Ackermann.model]
a:212 [in hydras.Ackermann.folProp]
a:213 [in hydras.Ackermann.cPair]
a:213 [in hydras.Ackermann.fol]
a:213 [in hydras.OrdinalNotations.ON_Generic]
a:213 [in gaia_hydras.nfwfgaia]
a:214 [in hydras.Epsilon0.T1]
a:215 [in hydras.OrdinalNotations.ON_Generic]
a:215 [in hydras.Ackermann.codeList]
a:215 [in hydras.Gamma0.Gamma0]
a:216 [in hydras.Ackermann.primRec]
a:216 [in hydras.Ackermann.fol]
a:216 [in hydras.OrdinalNotations.ON_Generic]
a:216 [in gaia_hydras.nfwfgaia]
a:217 [in hydras.Gamma0.Gamma0]
a:218 [in hydras.Epsilon0.T1]
a:218 [in hydras.rpo.more_list]
a:218 [in hydras.Ackermann.model]
a:218 [in gaia_hydras.nfwfgaia]
a:219 [in hydras.Epsilon0.T1]
a:219 [in hydras.Ackermann.primRec]
A:22 [in hydras.Ackermann.folProof]
a:22 [in hydras.Epsilon0.T1]
a:22 [in Goedel.PRrepresentable]
a:22 [in hydras.Prelude.Comparable]
a:22 [in hydras.OrdinalNotations.ON_O]
A:22 [in Goedel.fixPoint]
a:22 [in hydras.OrdinalNotations.OmegaOmega]
a:22 [in additions.fib]
A:22 [in hydras.Ackermann.expressible]
a:22 [in hydras.Prelude.MoreVectors]
A:220 [in hydras.rpo.more_list]
a:220 [in hydras.Ackermann.model]
a:221 [in hydras.Ackermann.folProp]
a:221 [in gaia_hydras.nfwfgaia]
a:222 [in hydras.Ackermann.primRec]
A:223 [in additions.Addition_Chains]
a:223 [in hydras.Gamma0.Gamma0]
A:224 [in additions.Euclidean_Chains]
a:225 [in hydras.Epsilon0.T1]
a:225 [in hydras.Ackermann.primRec]
a:226 [in additions.Euclidean_Chains]
a:227 [in hydras.Gamma0.Gamma0]
a:227 [in gaia_hydras.nfwfgaia]
a:228 [in hydras.rpo.more_list]
a:228 [in hydras.Ackermann.folProp]
a:228 [in hydras.Ackermann.primRec]
a:228 [in additions.Addition_Chains]
a:229 [in hydras.Epsilon0.T1]
a:23 [in hydras.Ackermann.extEqualNat]
a:23 [in hydras.rpo.more_list]
a:23 [in hydras.OrdinalNotations.ON_O]
A:23 [in additions.Pow_variant]
A:23 [in additions.Pow]
a:23 [in hydras.Prelude.Sort_spec]
a:23 [in hydras.Prelude.DecPreOrder]
A:23 [in hydras.Schutte.MoreEpsilonIota]
a:23 [in hydras.Ackermann.cPair]
A:23 [in hydras.Ackermann.fol]
a:23 [in hydras.Schutte.Well_Orders]
a:23 [in hydras.Gamma0.Gamma0]
a:23 [in hydras.rpo.closure]
a:23 [in gaia_hydras.GHessenberg]
a:230 [in hydras.Epsilon0.T1]
A:230 [in additions.AM]
a:230 [in hydras.rpo.rpo]
a:231 [in hydras.rpo.more_list]
A:231 [in additions.Addition_Chains]
a:231 [in hydras.Gamma0.Gamma0]
a:232 [in hydras.Ackermann.primRec]
A:233 [in hydras.Ackermann.checkPrf]
a:233 [in gaia_hydras.nfwfgaia]
a:234 [in hydras.Epsilon0.T1]
a:234 [in hydras.rpo.more_list]
a:235 [in hydras.Ackermann.primRec]
A:235 [in additions.Euclidean_Chains]
a:235 [in gaia_hydras.nfwfgaia]
a:236 [in hydras.Ackermann.fol]
a:236 [in additions.Addition_Chains]
a:237 [in hydras.Epsilon0.T1]
A:237 [in additions.AM]
a:237 [in additions.Euclidean_Chains]
a:237 [in gaia_hydras.nfwfgaia]
A:238 [in hydras.rpo.more_list]
a:238 [in hydras.Ackermann.primRec]
a:239 [in hydras.Ackermann.fol]
a:24 [in hydras.Prelude.More_Arith]
a:24 [in hydras.OrdinalNotations.ON_O]
a:24 [in gaia_hydras.GPaths]
a:24 [in hydras.Epsilon0.F_omega]
a:24 [in hydras.OrdinalNotations.OmegaOmega]
A:24 [in hydras.Ackermann.fol]
a:24 [in hydras.Schutte.PartialFun]
A:24 [in additions.Addition_Chains]
a:24 [in gaia_hydras.GL_alpha]
a:24 [in gaia_hydras.nfwfgaia]
A:240 [in additions.Addition_Chains]
a:240 [in hydras.rpo.rpo]
a:241 [in hydras.Ackermann.primRec]
A:241 [in additions.Euclidean_Chains]
a:243 [in hydras.Ackermann.cPair]
a:243 [in additions.Euclidean_Chains]
a:244 [in hydras.Ackermann.primRec]
a:244 [in additions.Addition_Chains]
A:247 [in hydras.rpo.more_list]
a:247 [in additions.Addition_Chains]
a:248 [in hydras.Epsilon0.T1]
a:248 [in hydras.Ackermann.primRec]
a:249 [in hydras.Ackermann.subAll]
A:25 [in hydras.Ackermann.folProof]
a:25 [in hydras.Ackermann.extEqualNat]
A:25 [in hydras.rpo.more_list]
a:25 [in hydras.Prelude.Comparable]
A:25 [in hydras.Prelude.DecPreOrder]
a:25 [in hydras.Ackermann.PA]
a:25 [in hydras.rpo.closure]
a:250 [in additions.Addition_Chains]
a:251 [in hydras.Ackermann.primRec]
a:252 [in hydras.Epsilon0.T1]
a:252 [in hydras.Ackermann.folProp]
a:253 [in hydras.Epsilon0.T1]
a:253 [in gaia_hydras.nfwfgaia]
a:254 [in hydras.Ackermann.primRec]
A:254 [in additions.Addition_Chains]
a:255 [in hydras.rpo.more_list]
a:255 [in gaia_hydras.nfwfgaia]
a:256 [in hydras.rpo.rpo]
a:257 [in hydras.Epsilon0.T1]
a:257 [in hydras.Ackermann.primRec]
A:259 [in hydras.rpo.more_list]
a:259 [in hydras.Ackermann.folProp]
a:26 [in Goedel.PRrepresentable]
A:26 [in hydras.Prelude.DecPreOrder_Instances]
A:26 [in hydras.Prelude.MoreLists]
a:26 [in additions.Compatibility]
a:26 [in hydras.Prelude.Comparable]
A:26 [in Goedel.fixPoint]
a:26 [in hydras.OrdinalNotations.OmegaOmega]
a:26 [in hydras.Ackermann.PA]
A:26 [in additions.Euclidean_Chains]
a:26 [in hydras.Schutte.PartialFun]
a:26 [in gaia_hydras.GHessenberg]
a:26 [in hydras.MoreAck.PrimRecExamples]
A:26 [in hydras.Ackermann.expressible]
a:260 [in hydras.Epsilon0.T1]
a:260 [in hydras.Ackermann.primRec]
a:260 [in gaia_hydras.nfwfgaia]
A:261 [in Goedel.PRrepresentable]
a:263 [in hydras.Epsilon0.T1]
a:263 [in gaia_hydras.nfwfgaia]
a:264 [in hydras.Ackermann.primRec]
A:264 [in additions.Addition_Chains]
A:265 [in Goedel.PRrepresentable]
A:265 [in hydras.Ackermann.checkPrf]
a:266 [in hydras.Epsilon0.T1]
a:266 [in hydras.Ackermann.cPair]
a:267 [in hydras.rpo.more_list]
a:268 [in hydras.Ackermann.folProp]
a:268 [in hydras.Ackermann.primRec]
a:268 [in hydras.Ackermann.cPair]
a:268 [in hydras.Ackermann.fol]
a:268 [in hydras.rpo.rpo]
a:269 [in Goedel.PRrepresentable]
A:27 [in hydras.Ackermann.folProof]
a:27 [in hydras.Schutte.Correctness_E0]
a:27 [in hydras.Prelude.More_Arith]
a:27 [in hydras.Ackermann.extEqualNat]
a:27 [in hydras.Epsilon0.Epsilon0rpo]
a:27 [in hydras.Epsilon0.Hessenberg]
a:27 [in gaia_hydras.GCanon]
a:27 [in hydras.solutions_exercises.MultisetWf]
a:27 [in Goedel.rosserPA]
a:27 [in hydras.OrdinalNotations.ON_Generic]
a:27 [in gaia_hydras.GL_alpha]
a:27 [in hydras.Ackermann.Languages]
A:27 [in hydras.Prelude.MoreVectors]
a:270 [in hydras.Epsilon0.T1]
a:270 [in hydras.Ackermann.cPair]
a:270 [in hydras.rpo.rpo]
a:271 [in additions.Addition_Chains]
a:272 [in hydras.Epsilon0.T1]
A:272 [in Goedel.PRrepresentable]
a:272 [in hydras.Ackermann.primRec]
a:272 [in hydras.Ackermann.cPair]
a:272 [in hydras.Ackermann.fol]
a:272 [in hydras.Gamma0.Gamma0]
a:274 [in hydras.Epsilon0.T1]
a:274 [in hydras.Ackermann.cPair]
a:275 [in hydras.Ackermann.folProp]
a:276 [in hydras.Epsilon0.T1]
a:276 [in hydras.Ackermann.primRec]
a:276 [in hydras.Ackermann.cPair]
a:277 [in hydras.Ackermann.cPair]
a:277 [in hydras.Gamma0.Gamma0]
a:278 [in hydras.Ackermann.cPair]
a:278 [in gaia_hydras.nfwfgaia]
a:279 [in hydras.Ackermann.cPair]
A:28 [in Goedel.PRrepresentable]
A:28 [in hydras.Prelude.DecPreOrder_Instances]
a:28 [in additions.Compatibility]
a:28 [in hydras.Prelude.Comparable]
a:28 [in gaia_hydras.GPaths]
a:28 [in hydras.Prelude.DecPreOrder]
a:28 [in hydras.OrdinalNotations.OmegaOmega]
a:28 [in hydras.Schutte.PartialFun]
a:28 [in gaia_hydras.GL_alpha]
a:28 [in gaia_hydras.GHessenberg]
a:280 [in hydras.Ackermann.primRec]
a:280 [in hydras.Ackermann.cPair]
a:280 [in hydras.Ackermann.fol]
a:281 [in hydras.Ackermann.cPair]
a:282 [in hydras.Epsilon0.T1]
a:283 [in hydras.Gamma0.Gamma0]
a:283 [in gaia_hydras.nfwfgaia]
a:284 [in gaia_hydras.nfwfgaia]
A:285 [in Goedel.PRrepresentable]
a:285 [in hydras.Ackermann.primRec]
a:287 [in hydras.Epsilon0.T1]
a:287 [in hydras.Gamma0.Gamma0]
a:289 [in hydras.Ackermann.primRec]
A:29 [in hydras.Ackermann.folProof]
a:29 [in hydras.Prelude.Comparable]
A:29 [in additions.Pow_variant]
A:29 [in additions.Pow]
a:29 [in gaia_hydras.GCanon]
A:29 [in Goedel.rosserPA]
a:29 [in hydras.Hydra.BigBattle]
A:29 [in hydras.OrdinalNotations.ON_Generic]
a:29 [in hydras.Ackermann.NN]
a:29 [in hydras.Gamma0.Gamma0]
a:29 [in hydras.MoreAck.PrimRecExamples]
A:291 [in Goedel.PRrepresentable]
a:291 [in hydras.Gamma0.Gamma0]
a:291 [in gaia_hydras.nfwfgaia]
a:293 [in hydras.Ackermann.primRec]
a:295 [in hydras.Gamma0.Gamma0]
a:296 [in gaia_hydras.nfwfgaia]
a:298 [in hydras.Ackermann.primRec]
a:299 [in hydras.Gamma0.Gamma0]
a:3 [in additions.Compatibility]
a:3 [in hydras.Ackermann.folLogic2]
a:3 [in hydras.OrdinalNotations.OmegaOmega]
a:3 [in hydras.OrdinalNotations.Example_3PlusOmega]
a:3 [in hydras.Ackermann.prLogic]
A:3 [in additions.Euclidean_Chains]
a:3 [in hydras.Ackermann.NNtheory]
a:3 [in gaia_hydras.GLarge_Sets]
a:3 [in hydras.Schutte.Well_Orders]
a:3 [in hydras.Ackermann.folLogic3]
a:3 [in hydras.Ackermann.NN]
a:30 [in hydras.Epsilon0.T1]
a:30 [in hydras.Ackermann.extEqualNat]
a:30 [in additions.Compatibility]
a:30 [in hydras.rpo.more_list]
a:30 [in gaia_hydras.GPaths]
A:30 [in hydras.Prelude.Sort_spec]
A:30 [in hydras.Prelude.DecPreOrder]
a:30 [in hydras.OrdinalNotations.OmegaOmega]
a:30 [in hydras.Ackermann.primRec]
a:30 [in hydras.Ackermann.NN]
a:30 [in gaia_hydras.GHessenberg]
a:302 [in hydras.Ackermann.primRec]
a:306 [in Goedel.PRrepresentable]
a:306 [in hydras.Ackermann.primRec]
a:306 [in hydras.Gamma0.Gamma0]
a:31 [in Goedel.PRrepresentable]
A:31 [in hydras.rpo.more_list]
a:31 [in hydras.Ackermann.folLogic3]
a:310 [in hydras.Epsilon0.T1]
a:310 [in Goedel.PRrepresentable]
a:310 [in hydras.Ackermann.primRec]
a:313 [in Goedel.PRrepresentable]
a:314 [in hydras.Ackermann.primRec]
a:316 [in Goedel.PRrepresentable]
a:318 [in Goedel.PRrepresentable]
A:318 [in hydras.Ackermann.checkPrf]
a:318 [in hydras.Ackermann.primRec]
a:318 [in hydras.Ackermann.fol]
A:32 [in hydras.Ackermann.folProof]
A:32 [in Goedel.PRrepresentable]
a:32 [in additions.Compatibility]
a:32 [in hydras.Prelude.Restriction]
a:32 [in hydras.Prelude.Comparable]
a:32 [in gaia_hydras.GPaths]
a:32 [in hydras.Epsilon0.Hessenberg]
A:32 [in hydras.solutions_exercises.MultisetWf]
a:32 [in hydras.OrdinalNotations.OmegaOmega]
a:32 [in hydras.Schutte.PartialFun]
A:32 [in Goedel.codeSysPrf]
A:32 [in hydras.Schutte.Ordering_Functions]
a:32 [in hydras.Ackermann.Languages]
A:32 [in hydras.Ackermann.expressible]
a:322 [in hydras.Ackermann.primRec]
a:322 [in hydras.Ackermann.fol]
A:326 [in Goedel.PRrepresentable]
a:327 [in hydras.Ackermann.primRec]
a:327 [in gaia_hydras.nfwfgaia]
a:328 [in gaia_hydras.nfwfgaia]
a:33 [in hydras.Prelude.More_Arith]
a:33 [in hydras.Epsilon0.Epsilon0rpo]
a:33 [in gaia_hydras.GCanon]
a:33 [in hydras.Ackermann.cPair]
a:33 [in hydras.Schutte.PartialFun]
a:33 [in gaia_hydras.GHessenberg]
a:330 [in hydras.Ackermann.fol]
A:331 [in Goedel.PRrepresentable]
a:331 [in hydras.Ackermann.primRec]
a:334 [in gaia_hydras.nfwfgaia]
a:335 [in hydras.Ackermann.primRec]
a:335 [in gaia_hydras.nfwfgaia]
A:336 [in Goedel.PRrepresentable]
a:336 [in gaia_hydras.nfwfgaia]
a:337 [in gaia_hydras.nfwfgaia]
a:338 [in hydras.Ackermann.cPair]
a:338 [in gaia_hydras.nfwfgaia]
a:339 [in hydras.Ackermann.primRec]
A:339 [in additions.Euclidean_Chains]
A:34 [in hydras.Ackermann.folProof]
a:34 [in additions.Compatibility]
A:34 [in additions.FirstSteps]
a:34 [in hydras.Prelude.Comparable]
a:34 [in hydras.OrdinalNotations.OmegaOmega]
a:34 [in hydras.Ackermann.PA]
a:34 [in hydras.Schutte.Well_Orders]
a:34 [in hydras.Schutte.Ordering_Functions]
A:34 [in hydras.Ackermann.expressible]
a:34 [in hydras.Prelude.MoreVectors]
a:340 [in hydras.Ackermann.cPair]
A:341 [in hydras.Ackermann.subAll]
a:343 [in hydras.Ackermann.primRec]
a:344 [in hydras.Epsilon0.T1]
A:346 [in hydras.Ackermann.subAll]
a:346 [in hydras.Ackermann.cPair]
a:349 [in hydras.Ackermann.cPair]
a:35 [in Goedel.PRrepresentable]
A:35 [in additions.AM]
a:35 [in additions.Compatibility]
a:35 [in hydras.Prelude.Comparable]
a:35 [in additions.Pow_variant]
a:35 [in additions.Pow]
A:35 [in hydras.Prelude.DecPreOrder]
a:35 [in hydras.Ackermann.folProp]
A:35 [in hydras.solutions_exercises.MultisetWf]
a:35 [in hydras.Ackermann.PA]
A:35 [in additions.Euclidean_Chains]
a:35 [in hydras.Schutte.Schutte_basics]
a:35 [in Goedel.codeSysPrf]
A:35 [in additions.Addition_Chains]
A:35 [in hydras.MoreAck.FolExamples]
a:35 [in hydras.Ackermann.expressible]
a:351 [in Goedel.PRrepresentable]
A:351 [in hydras.Ackermann.subAll]
a:352 [in hydras.Ackermann.cPair]
a:353 [in gaia_hydras.nfwfgaia]
A:354 [in hydras.Ackermann.checkPrf]
a:355 [in hydras.Epsilon0.T1]
a:355 [in Goedel.PRrepresentable]
a:355 [in hydras.Ackermann.cPair]
a:355 [in gaia_hydras.nfwfgaia]
A:357 [in hydras.Ackermann.subAll]
a:357 [in gaia_hydras.nfwfgaia]
a:359 [in Goedel.PRrepresentable]
a:359 [in gaia_hydras.nfwfgaia]
A:36 [in hydras.rpo.more_list]
a:36 [in hydras.OrdinalNotations.OmegaOmega]
A:36 [in additions.Monoid_def]
a:36 [in hydras.Hydra.BigBattle]
a:36 [in additions.Addition_Chains]
a:36 [in hydras.rpo.list_permut]
A:36 [in hydras.Schutte.Ordering_Functions]
a:36 [in gaia_hydras.GHessenberg]
a:361 [in hydras.Epsilon0.T1]
a:361 [in gaia_hydras.nfwfgaia]
a:362 [in hydras.Ackermann.cPair]
a:362 [in gaia_hydras.nfwfgaia]
a:363 [in Goedel.PRrepresentable]
a:364 [in hydras.Ackermann.fol]
a:365 [in hydras.Ackermann.folProp]
a:365 [in hydras.Ackermann.cPair]
a:368 [in hydras.Ackermann.cPair]
a:368 [in hydras.Ackermann.fol]
A:37 [in hydras.Ackermann.folProof]
a:37 [in hydras.OrdinalNotations.OmegaOmega]
a:37 [in hydras.Ackermann.cPair]
a:37 [in hydras.Ackermann.wellFormed]
a:37 [in gaia_hydras.onType]
a:37 [in hydras.Schutte.Well_Orders]
a:37 [in Goedel.codeSysPrf]
A:37 [in hydras.Schutte.Addition]
A:370 [in hydras.Ackermann.subAll]
a:371 [in hydras.Ackermann.cPair]
a:372 [in hydras.Ackermann.folProp]
a:375 [in hydras.Epsilon0.T1]
a:375 [in gaia_hydras.nfwfgaia]
a:376 [in hydras.Ackermann.fol]
a:376 [in gaia_hydras.nfwfgaia]
a:377 [in gaia_hydras.nfwfgaia]
a:38 [in additions.Compatibility]
a:38 [in hydras.Prelude.Comparable]
a:38 [in hydras.Epsilon0.Hessenberg]
a:38 [in hydras.Prelude.DecPreOrder]
a:38 [in hydras.Ackermann.NN]
a:38 [in hydras.Schutte.Ordering_Functions]
A:38 [in hydras.MoreAck.FolExamples]
A:38 [in hydras.Ackermann.expressible]
a:380 [in gaia_hydras.nfwfgaia]
a:381 [in hydras.Epsilon0.T1]
a:381 [in hydras.Ackermann.folProp]
a:381 [in gaia_hydras.nfwfgaia]
a:385 [in hydras.Epsilon0.T1]
a:385 [in Goedel.PRrepresentable]
a:388 [in hydras.Ackermann.folProp]
a:389 [in Goedel.PRrepresentable]
A:39 [in hydras.Ackermann.folProof]
a:39 [in Goedel.PRrepresentable]
a:39 [in hydras.Epsilon0.Epsilon0rpo]
A:39 [in additions.Pow_variant]
a:39 [in gaia_hydras.GPaths]
A:39 [in additions.Pow]
A:39 [in hydras.Prelude.Sort_spec]
A:39 [in hydras.Prelude.DecPreOrder]
a:39 [in hydras.Ackermann.cPair]
a:39 [in hydras.Ackermann.wellFormed]
a:39 [in hydras.Schutte.Schutte_basics]
a:39 [in gaia_hydras.onType]
a:390 [in hydras.Epsilon0.T1]
a:393 [in Goedel.PRrepresentable]
a:393 [in hydras.Ackermann.checkPrf]
a:393 [in gaia_hydras.nfwfgaia]
a:396 [in gaia_hydras.nfwfgaia]
a:397 [in Goedel.PRrepresentable]
a:397 [in hydras.Ackermann.checkPrf]
a:398 [in gaia_hydras.nfwfgaia]
a:4 [in hydras.Prelude.Restriction]
A:4 [in hydras.Prelude.Comparable]
a:4 [in Goedel.fixPoint]
a:4 [in hydras.Prelude.DecPreOrder]
a:4 [in gaia_hydras.T1Bridge]
A:4 [in additions.Monoid_def]
a:4 [in additions.Addition_Chains]
A:4 [in hydras.Schutte.Ordering_Functions]
A:40 [in additions.FirstSteps]
a:40 [in hydras.Prelude.Comparable]
a:40 [in hydras.Schutte.PartialFun]
a:400 [in Goedel.PRrepresentable]
A:401 [in hydras.Epsilon0.T1]
a:402 [in Goedel.PRrepresentable]
a:403 [in hydras.Epsilon0.T1]
a:405 [in Goedel.PRrepresentable]
A:407 [in hydras.Ackermann.checkPrf]
a:408 [in hydras.Ackermann.fol]
a:408 [in gaia_hydras.nfwfgaia]
a:409 [in Goedel.PRrepresentable]
A:41 [in additions.AM]
A:41 [in hydras.rpo.more_list]
a:41 [in hydras.solutions_exercises.MultisetWf]
a:41 [in gaia_hydras.T1Bridge]
A:41 [in additions.Monoid_def]
a:41 [in hydras.Ackermann.cPair]
a:41 [in additions.Euclidean_Chains]
a:41 [in hydras.Schutte.Schutte_basics]
a:41 [in hydras.Schutte.Well_Orders]
A:41 [in additions.Addition_Chains]
A:41 [in hydras.MoreAck.FolExamples]
A:41 [in hydras.Ackermann.expressible]
A:41 [in hydras.Prelude.MoreVectors]
a:411 [in gaia_hydras.nfwfgaia]
a:412 [in hydras.Ackermann.fol]
a:413 [in Goedel.PRrepresentable]
a:415 [in hydras.Epsilon0.T1]
a:415 [in gaia_hydras.nfwfgaia]
a:417 [in Goedel.PRrepresentable]
a:417 [in hydras.Ackermann.primRec]
a:419 [in hydras.Ackermann.primRec]
a:42 [in hydras.Epsilon0.Epsilon0rpo]
a:42 [in hydras.Prelude.Comparable]
a:42 [in hydras.Prelude.DecPreOrder]
a:42 [in additions.More_on_positive]
a:42 [in gaia_hydras.T1Bridge]
A:42 [in hydras.Prelude.MoreOrders]
A:42 [in additions.Euclidean_Chains]
a:42 [in hydras.Schutte.PartialFun]
a:42 [in hydras.Ackermann.folLogic3]
a:420 [in Goedel.PRrepresentable]
a:421 [in hydras.Epsilon0.T1]
a:421 [in hydras.Ackermann.primRec]
a:421 [in hydras.Ackermann.fol]
a:422 [in hydras.Epsilon0.T1]
a:422 [in gaia_hydras.nfwfgaia]
a:423 [in hydras.Ackermann.primRec]
a:424 [in Goedel.PRrepresentable]
a:425 [in hydras.Epsilon0.T1]
a:427 [in hydras.Ackermann.primRec]
a:428 [in hydras.Ackermann.fol]
a:429 [in Goedel.PRrepresentable]
a:429 [in hydras.Gamma0.Gamma0]
a:43 [in hydras.Epsilon0.T1]
a:43 [in Goedel.PRrepresentable]
a:43 [in hydras.Prelude.DecPreOrder_Instances]
a:43 [in hydras.rpo.more_list]
a:43 [in hydras.Ackermann.LNN2LNT]
a:43 [in hydras.Prelude.Comparable]
a:43 [in gaia_hydras.T1Bridge]
a:43 [in hydras.Ackermann.PA]
a:43 [in hydras.Schutte.PartialFun]
a:43 [in hydras.rpo.dickson]
a:43 [in hydras.rpo.list_permut]
A:43 [in hydras.Schutte.Ordering_Functions]
a:430 [in hydras.Ackermann.fol]
a:431 [in hydras.Epsilon0.T1]
a:432 [in Goedel.PRrepresentable]
a:432 [in hydras.Ackermann.primRec]
a:432 [in gaia_hydras.nfwfgaia]
a:435 [in Goedel.PRrepresentable]
a:436 [in hydras.Epsilon0.T1]
a:437 [in gaia_hydras.nfwfgaia]
a:438 [in Goedel.PRrepresentable]
A:438 [in hydras.Ackermann.folProp]
a:439 [in hydras.Ackermann.primRec]
a:44 [in Goedel.PRrepresentable]
A:44 [in hydras.Prelude.MoreLists]
a:44 [in hydras.Prelude.Comparable]
a:44 [in hydras.Epsilon0.Hessenberg]
A:44 [in hydras.Prelude.DecPreOrder]
a:44 [in hydras.solutions_exercises.MultisetWf]
a:44 [in hydras.Ackermann.PA]
a:44 [in hydras.Prelude.MoreOrders]
a:44 [in hydras.Ackermann.primRec]
a:441 [in gaia_hydras.nfwfgaia]
a:442 [in hydras.Epsilon0.T1]
a:443 [in gaia_hydras.nfwfgaia]
a:444 [in hydras.Ackermann.fol]
a:445 [in hydras.Ackermann.checkPrf]
a:445 [in hydras.Gamma0.Gamma0]
a:445 [in gaia_hydras.nfwfgaia]
a:446 [in hydras.Epsilon0.T1]
a:447 [in gaia_hydras.nfwfgaia]
a:448 [in hydras.Epsilon0.T1]
a:448 [in hydras.Ackermann.primRec]
a:449 [in hydras.Ackermann.checkPrf]
a:449 [in gaia_hydras.nfwfgaia]
a:45 [in hydras.Epsilon0.Epsilon0rpo]
a:45 [in gaia_hydras.T1Bridge]
a:45 [in hydras.Ackermann.cPair]
a:45 [in Goedel.codeSysPrf]
A:45 [in hydras.Schutte.Ordering_Functions]
A:45 [in hydras.Ackermann.expressible]
a:450 [in hydras.Gamma0.Gamma0]
a:450 [in gaia_hydras.nfwfgaia]
a:451 [in hydras.Epsilon0.T1]
a:451 [in hydras.Gamma0.Gamma0]
a:452 [in hydras.Gamma0.Gamma0]
a:452 [in gaia_hydras.nfwfgaia]
a:453 [in hydras.Epsilon0.T1]
A:453 [in hydras.Ackermann.checkPrf]
a:453 [in hydras.Ackermann.primRec]
a:457 [in hydras.Gamma0.Gamma0]
a:457 [in gaia_hydras.nfwfgaia]
a:458 [in hydras.Epsilon0.T1]
a:459 [in gaia_hydras.nfwfgaia]
a:46 [in hydras.Epsilon0.T1]
A:46 [in hydras.rpo.more_list]
a:46 [in hydras.Prelude.Comparable]
A:46 [in hydras.Prelude.Sort_spec]
a:46 [in additions.More_on_positive]
A:46 [in hydras.Prelude.MoreOrders]
A:46 [in additions.Monoid_def]
a:46 [in hydras.Schutte.PartialFun]
A:46 [in hydras.Schutte.Schutte_basics]
a:46 [in hydras.Schutte.Well_Orders]
A:46 [in additions.Addition_Chains]
a:461 [in hydras.Epsilon0.T1]
a:461 [in hydras.Ackermann.primRec]
a:462 [in gaia_hydras.nfwfgaia]
a:464 [in hydras.Epsilon0.T1]
a:464 [in gaia_hydras.nfwfgaia]
a:466 [in hydras.Ackermann.primRec]
a:466 [in gaia_hydras.nfwfgaia]
a:467 [in hydras.Gamma0.Gamma0]
a:468 [in hydras.Epsilon0.T1]
a:468 [in gaia_hydras.nfwfgaia]
a:47 [in Goedel.PRrepresentable]
a:47 [in hydras.Prelude.DecPreOrder_Instances]
a:47 [in hydras.Prelude.More_Arith]
a:47 [in hydras.Prelude.DecPreOrder]
A:47 [in additions.Euclidean_Chains]
a:47 [in Goedel.codeSysPrf]
a:47 [in hydras.Schutte.Ordering_Functions]
a:470 [in hydras.Epsilon0.T1]
a:471 [in hydras.Ackermann.primRec]
a:473 [in gaia_hydras.nfwfgaia]
a:475 [in hydras.Ackermann.primRec]
a:476 [in hydras.Epsilon0.T1]
a:478 [in hydras.Epsilon0.T1]
a:48 [in hydras.Epsilon0.T1]
a:48 [in hydras.Epsilon0.Epsilon0rpo]
a:48 [in hydras.Prelude.Comparable]
A:48 [in additions.Pow_variant]
A:48 [in additions.Pow]
a:48 [in hydras.Epsilon0.Hessenberg]
a:48 [in gaia_hydras.GCanon]
a:48 [in hydras.Ackermann.code]
a:48 [in hydras.Hydra.BigBattle]
A:48 [in hydras.OrdinalNotations.ON_Generic]
A:48 [in hydras.Prelude.MoreVectors]
a:482 [in hydras.Gamma0.Gamma0]
a:483 [in hydras.Ackermann.primRec]
a:486 [in hydras.Ackermann.checkPrf]
a:488 [in hydras.Ackermann.primRec]
a:489 [in hydras.Gamma0.Gamma0]
A:49 [in hydras.Prelude.DecPreOrder]
a:49 [in hydras.solutions_exercises.MultisetWf]
a:49 [in gaia_hydras.T1Bridge]
a:49 [in hydras.Ackermann.cPair]
a:49 [in hydras.Schutte.Well_Orders]
a:49 [in hydras.Ackermann.folLogic3]
A:49 [in hydras.Schutte.Ordering_Functions]
a:490 [in hydras.Ackermann.checkPrf]
a:490 [in gaia_hydras.nfwfgaia]
a:492 [in hydras.Ackermann.primRec]
a:492 [in gaia_hydras.nfwfgaia]
a:494 [in gaia_hydras.nfwfgaia]
a:496 [in hydras.Epsilon0.T1]
a:497 [in hydras.Ackermann.primRec]
a:5 [in hydras.Ackermann.folProof]
a:5 [in gaia_hydras.GPaths]
a:5 [in hydras.Schutte.Lub]
a:5 [in hydras.Prelude.Sort_spec]
a:5 [in gaia_hydras.GCanon]
a:5 [in hydras.Schutte.MoreEpsilonIota]
a:5 [in hydras.Ackermann.prLogic]
a:5 [in hydras.Schutte.Schutte_basics]
a:5 [in hydras.Ackermann.NNtheory]
a:5 [in gaia_hydras.GLarge_Sets]
a:5 [in hydras.Ackermann.ListExt]
a:5 [in hydras.Ackermann.folLogic3]
a:5 [in hydras.Gamma0.Gamma0]
a:5 [in hydras.MoreAck.FolExamples]
a:50 [in hydras.Epsilon0.T1]
A:50 [in hydras.rpo.more_list]
A:50 [in hydras.Ackermann.code]
A:50 [in additions.Euclidean_Chains]
a:50 [in hydras.rpo.dickson]
a:50 [in hydras.MoreAck.PrimRecExamples]
A:50 [in hydras.Ackermann.expressible]
a:500 [in hydras.Epsilon0.T1]
a:502 [in hydras.Epsilon0.T1]
a:502 [in hydras.Ackermann.checkPrf]
a:502 [in hydras.Ackermann.primRec]
a:506 [in hydras.Ackermann.checkPrf]
a:506 [in hydras.Ackermann.primRec]
a:508 [in hydras.Ackermann.primRec]
a:509 [in hydras.Epsilon0.T1]
a:51 [in hydras.Prelude.DecPreOrder_Instances]
a:51 [in hydras.Prelude.More_Arith]
a:51 [in hydras.Prelude.Comparable]
a:51 [in gaia_hydras.GPaths]
A:51 [in additions.Monoid_def]
a:51 [in hydras.Prelude.MoreVectors]
a:510 [in hydras.Ackermann.checkPrf]
a:510 [in hydras.Ackermann.primRec]
a:512 [in hydras.Ackermann.primRec]
a:513 [in hydras.Epsilon0.T1]
a:514 [in hydras.Epsilon0.T1]
a:514 [in hydras.Ackermann.checkPrf]
a:514 [in hydras.Ackermann.primRec]
a:515 [in hydras.Epsilon0.T1]
a:516 [in hydras.Ackermann.primRec]
a:518 [in hydras.Epsilon0.T1]
a:518 [in hydras.Ackermann.primRec]
a:518 [in hydras.Gamma0.Gamma0]
A:52 [in additions.AM]
a:52 [in hydras.Epsilon0.Epsilon0rpo]
a:52 [in hydras.Prelude.DecPreOrder]
a:52 [in hydras.MoreAck.AckNotPR]
a:52 [in hydras.Hydra.BigBattle]
a:52 [in hydras.Schutte.PartialFun]
a:52 [in hydras.Schutte.Schutte_basics]
a:520 [in hydras.Epsilon0.T1]
a:520 [in hydras.Ackermann.primRec]
a:520 [in hydras.Gamma0.Gamma0]
a:521 [in hydras.Epsilon0.T1]
a:522 [in hydras.Ackermann.primRec]
a:524 [in hydras.Ackermann.primRec]
a:524 [in hydras.Gamma0.Gamma0]
a:526 [in hydras.Epsilon0.T1]
a:526 [in hydras.Ackermann.primRec]
a:527 [in hydras.Gamma0.Gamma0]
a:528 [in hydras.Epsilon0.T1]
a:528 [in hydras.Ackermann.primRec]
a:53 [in hydras.Ackermann.cPair]
A:53 [in additions.Euclidean_Chains]
a:53 [in hydras.Schutte.Schutte_basics]
A:53 [in additions.Addition_Chains]
A:53 [in hydras.Prelude.MoreVectors]
a:530 [in hydras.Ackermann.primRec]
a:530 [in hydras.Gamma0.Gamma0]
a:531 [in hydras.Epsilon0.T1]
a:532 [in hydras.Ackermann.primRec]
a:533 [in hydras.Gamma0.Gamma0]
a:535 [in hydras.Ackermann.primRec]
a:537 [in hydras.Ackermann.primRec]
a:538 [in hydras.Epsilon0.T1]
a:539 [in hydras.Ackermann.primRec]
a:54 [in hydras.Ackermann.LNN2LNT]
a:54 [in hydras.Prelude.Comparable]
a:54 [in hydras.Prelude.Sort_spec]
A:54 [in hydras.Prelude.DecPreOrder]
a:54 [in hydras.Ackermann.code]
a:54 [in hydras.Schutte.Schutte_basics]
A:54 [in hydras.Schutte.Ordering_Functions]
a:548 [in hydras.Epsilon0.T1]
a:55 [in hydras.Prelude.DecPreOrder_Instances]
a:55 [in hydras.rpo.more_list]
a:55 [in hydras.Schutte.Schutte_basics]
a:55 [in additions.Addition_Chains]
A:55 [in hydras.Ackermann.expressible]
a:551 [in hydras.Ackermann.primRec]
a:553 [in hydras.Epsilon0.T1]
a:553 [in hydras.Ackermann.primRec]
a:555 [in hydras.Epsilon0.T1]
a:555 [in hydras.Ackermann.primRec]
a:557 [in hydras.Ackermann.primRec]
a:557 [in gaia_hydras.nfwfgaia]
A:56 [in hydras.rpo.more_list]
a:56 [in hydras.Ackermann.LNN2LNT]
a:56 [in gaia_hydras.GCanon]
a:56 [in hydras.Ackermann.code]
a:56 [in gaia_hydras.T1Bridge]
A:56 [in additions.Monoid_def]
a:56 [in hydras.Schutte.Schutte_basics]
a:56 [in hydras.rpo.dickson]
a:56 [in hydras.Schutte.Ordering_Functions]
a:562 [in hydras.Epsilon0.T1]
a:562 [in gaia_hydras.nfwfgaia]
a:563 [in hydras.Gamma0.Gamma0]
a:564 [in hydras.Ackermann.checkPrf]
a:564 [in gaia_hydras.nfwfgaia]
a:565 [in hydras.Gamma0.Gamma0]
a:566 [in hydras.Ackermann.checkPrf]
a:567 [in hydras.Ackermann.checkPrf]
a:568 [in hydras.Ackermann.checkPrf]
a:569 [in hydras.Gamma0.Gamma0]
a:569 [in gaia_hydras.nfwfgaia]
a:57 [in hydras.Prelude.Comparable]
a:57 [in gaia_hydras.GPaths]
a:57 [in hydras.Prelude.DecPreOrder]
A:57 [in additions.Monoid_def]
a:57 [in hydras.Ackermann.primRec]
a:57 [in hydras.Ackermann.cPair]
A:57 [in additions.Addition_Chains]
a:57 [in hydras.Prelude.MoreVectors]
a:571 [in hydras.Epsilon0.T1]
a:571 [in hydras.Gamma0.Gamma0]
a:575 [in hydras.Epsilon0.T1]
a:579 [in hydras.Epsilon0.T1]
a:579 [in hydras.Gamma0.Gamma0]
A:58 [in Goedel.PRrepresentable]
a:58 [in hydras.Ackermann.LNN2LNT]
a:58 [in gaia_hydras.GPaths]
a:58 [in hydras.Ackermann.code]
a:58 [in hydras.Ackermann.cPair]
A:58 [in Goedel.codeSysPrf]
a:58 [in hydras.rpo.dickson]
A:58 [in hydras.Ackermann.expressible]
a:585 [in hydras.Gamma0.Gamma0]
a:586 [in hydras.Ackermann.primRec]
a:587 [in hydras.Gamma0.Gamma0]
a:588 [in hydras.Ackermann.primRec]
a:59 [in hydras.Prelude.DecPreOrder_Instances]
A:59 [in additions.AM]
a:59 [in hydras.Prelude.Comparable]
A:59 [in hydras.Prelude.DecPreOrder]
a:59 [in hydras.solutions_exercises.MultisetWf]
a:59 [in hydras.Ackermann.code]
A:59 [in hydras.Schutte.Ordering_Functions]
a:59 [in hydras.Ackermann.expressible]
a:590 [in hydras.Ackermann.primRec]
a:592 [in hydras.Ackermann.primRec]
a:592 [in hydras.Gamma0.Gamma0]
a:594 [in hydras.Ackermann.primRec]
a:595 [in gaia_hydras.nfwfgaia]
a:596 [in hydras.Ackermann.primRec]
a:596 [in hydras.Gamma0.Gamma0]
a:597 [in hydras.Epsilon0.T1]
a:598 [in hydras.Ackermann.primRec]
a:6 [in hydras.OrdinalNotations.ON_O]
A:6 [in hydras.Ackermann.model]
A:6 [in hydras.Schutte.MoreEpsilonIota]
a:6 [in hydras.solutions_exercises.MultisetWf]
a:6 [in hydras.solutions_exercises.MorePRExamples]
A:6 [in additions.Monoid_def]
a:6 [in hydras.Ackermann.cPair]
A:6 [in gaia_hydras.GLarge_Sets]
a:6 [in hydras.Schutte.Well_Orders]
A:6 [in hydras.Schutte.Ordering_Functions]
a:6 [in hydras.MoreAck.PrimRecExamples]
a:60 [in hydras.Schutte.Correctness_E0]
a:60 [in hydras.rpo.more_list]
A:60 [in hydras.Prelude.Sort_spec]
a:60 [in hydras.OrdinalNotations.OmegaOmega]
a:60 [in hydras.Ackermann.cPair]
a:60 [in hydras.Hydra.BigBattle]
a:60 [in hydras.rpo.dickson]
a:601 [in hydras.Epsilon0.T1]
a:604 [in hydras.Gamma0.Gamma0]
a:606 [in hydras.Gamma0.Gamma0]
a:61 [in hydras.Ackermann.LNN2LNT]
a:61 [in hydras.Prelude.Comparable]
a:61 [in hydras.OrdinalNotations.OmegaOmega]
a:61 [in hydras.Ackermann.code]
a:61 [in gaia_hydras.T1Bridge]
A:61 [in additions.Monoid_def]
a:61 [in hydras.Ackermann.primRec]
a:61 [in hydras.Ackermann.cPair]
A:61 [in additions.Euclidean_Chains]
a:61 [in hydras.Schutte.Ordering_Functions]
A:61 [in hydras.Prelude.MoreVectors]
a:610 [in gaia_hydras.nfwfgaia]
a:614 [in gaia_hydras.nfwfgaia]
a:618 [in hydras.Epsilon0.T1]
A:62 [in Goedel.PRrepresentable]
a:62 [in hydras.Prelude.DecPreOrder]
a:62 [in hydras.solutions_exercises.MultisetWf]
a:62 [in hydras.Ackermann.cPair]
a:62 [in hydras.Schutte.Schutte_basics]
a:62 [in hydras.OrdinalNotations.ON_Generic]
a:62 [in additions.Addition_Chains]
A:62 [in hydras.Ackermann.expressible]
a:620 [in hydras.Gamma0.Gamma0]
a:626 [in hydras.Epsilon0.T1]
a:626 [in gaia_hydras.nfwfgaia]
a:629 [in gaia_hydras.nfwfgaia]
A:63 [in hydras.rpo.more_list]
a:63 [in hydras.Prelude.Comparable]
a:63 [in hydras.Ackermann.code]
a:63 [in hydras.Hydra.BigBattle]
A:63 [in additions.Addition_Chains]
a:633 [in hydras.Gamma0.Gamma0]
a:637 [in hydras.Gamma0.Gamma0]
a:64 [in hydras.Epsilon0.T1]
a:64 [in hydras.Ackermann.subAll]
a:64 [in gaia_hydras.GPaths]
A:64 [in hydras.Prelude.DecPreOrder]
a:64 [in hydras.OrdinalNotations.OmegaOmega]
a:64 [in hydras.Ackermann.code]
a:64 [in hydras.Schutte.Schutte_basics]
a:64 [in hydras.rpo.list_permut]
A:64 [in hydras.Schutte.Ordering_Functions]
a:64 [in hydras.MoreAck.PrimRecExamples]
A:65 [in Goedel.PRrepresentable]
a:65 [in hydras.Prelude.Comparable]
a:65 [in hydras.Epsilon0.Hessenberg]
a:65 [in hydras.Ackermann.primRec]
A:65 [in hydras.Schutte.PartialFun]
A:653 [in hydras.Ackermann.checkPrf]
a:654 [in gaia_hydras.nfwfgaia]
a:655 [in hydras.Ackermann.checkPrf]
a:656 [in gaia_hydras.nfwfgaia]
a:657 [in hydras.Ackermann.checkPrf]
a:658 [in gaia_hydras.nfwfgaia]
a:659 [in hydras.Ackermann.checkPrf]
a:66 [in hydras.Ackermann.code]
a:66 [in gaia_hydras.T1Bridge]
a:66 [in hydras.Schutte.Schutte_basics]
a:66 [in hydras.MoreAck.PrimRecExamples]
A:66 [in hydras.Ackermann.expressible]
a:661 [in hydras.Ackermann.checkPrf]
a:663 [in hydras.Ackermann.checkPrf]
a:665 [in hydras.Ackermann.checkPrf]
a:667 [in hydras.Ackermann.checkPrf]
a:669 [in hydras.Ackermann.checkPrf]
a:669 [in hydras.Gamma0.Gamma0]
a:67 [in hydras.Ackermann.subAll]
a:67 [in hydras.Prelude.Comparable]
a:67 [in hydras.Prelude.DecPreOrder]
a:67 [in hydras.Hydra.BigBattle]
A:67 [in hydras.OrdinalNotations.ON_Generic]
A:67 [in hydras.Schutte.Ordering_Functions]
a:67 [in hydras.rpo.rpo]
A:67 [in hydras.Prelude.MoreVectors]
a:670 [in gaia_hydras.nfwfgaia]
a:671 [in hydras.Ackermann.checkPrf]
a:671 [in hydras.Gamma0.Gamma0]
a:673 [in hydras.Ackermann.checkPrf]
a:675 [in hydras.Ackermann.checkPrf]
a:677 [in hydras.Ackermann.checkPrf]
a:678 [in hydras.Ackermann.primRec]
A:68 [in hydras.Prelude.Iterates]
A:68 [in hydras.rpo.more_list]
a:68 [in gaia_hydras.GPaths]
A:68 [in hydras.Prelude.Sort_spec]
a:68 [in gaia_hydras.GCanon]
A:68 [in hydras.solutions_exercises.MultisetWf]
a:68 [in hydras.Ackermann.code]
A:68 [in additions.Euclidean_Chains]
a:682 [in hydras.Ackermann.primRec]
a:689 [in hydras.Gamma0.Gamma0]
A:69 [in Goedel.PRrepresentable]
a:69 [in hydras.Prelude.Comparable]
a:69 [in hydras.OrdinalNotations.OmegaOmega]
a:69 [in hydras.Schutte.Schutte_basics]
a:69 [in hydras.Ackermann.folLogic3]
a:69 [in hydras.rpo.dickson]
a:69 [in hydras.Schutte.Ordering_Functions]
a:69 [in hydras.Schutte.Addition]
A:69 [in hydras.Prelude.MoreVectors]
a:694 [in hydras.Ackermann.primRec]
a:695 [in gaia_hydras.nfwfgaia]
a:697 [in hydras.Ackermann.primRec]
a:697 [in gaia_hydras.nfwfgaia]
a:7 [in hydras.Gamma0.T2]
A:7 [in hydras.Prelude.Iterates]
a:7 [in hydras.Ackermann.folLogic2]
a:7 [in Goedel.fixPoint]
A:7 [in hydras.Prelude.DecPreOrder]
a:7 [in hydras.Schutte.MoreEpsilonIota]
a:7 [in gaia_hydras.T1Bridge]
a:7 [in hydras.Ackermann.prLogic]
a:7 [in hydras.Ackermann.NNtheory]
a:7 [in gaia_hydras.GLarge_Sets]
A:7 [in hydras.OrdinalNotations.ON_Generic]
a:7 [in gaia_hydras.T2Bridge]
a:7 [in hydras.MoreAck.PrimRecExamples]
A:7 [in hydras.Prelude.MoreVectors]
A:70 [in hydras.Prelude.DecPreOrder]
a:70 [in gaia_hydras.GCanon]
a:70 [in hydras.Ackermann.code]
a:70 [in hydras.Ackermann.primRec]
a:707 [in hydras.Epsilon0.T1]
a:707 [in gaia_hydras.nfwfgaia]
a:71 [in hydras.Epsilon0.T1]
A:71 [in hydras.rpo.more_list]
a:71 [in hydras.Prelude.Comparable]
a:71 [in gaia_hydras.GPaths]
a:71 [in hydras.Hydra.BigBattle]
a:71 [in hydras.Ackermann.folLogic3]
A:71 [in additions.Addition_Chains]
A:71 [in hydras.Schutte.Ordering_Functions]
A:71 [in Goedel.rosser]
A:71 [in hydras.Ackermann.expressible]
a:71 [in hydras.Prelude.MoreVectors]
a:717 [in gaia_hydras.nfwfgaia]
a:718 [in gaia_hydras.nfwfgaia]
a:72 [in hydras.Ackermann.subAll]
A:72 [in additions.AM]
A:72 [in hydras.Prelude.Iterates]
A:72 [in hydras.rpo.more_list]
a:72 [in hydras.Prelude.Comparable]
a:72 [in hydras.Epsilon0.Hessenberg]
a:72 [in hydras.Ackermann.code]
a:72 [in gaia_hydras.T1Bridge]
A:72 [in hydras.Schutte.PartialFun]
a:72 [in hydras.Schutte.Schutte_basics]
a:720 [in gaia_hydras.nfwfgaia]
a:722 [in hydras.Epsilon0.T1]
a:723 [in gaia_hydras.nfwfgaia]
a:727 [in gaia_hydras.nfwfgaia]
a:729 [in gaia_hydras.nfwfgaia]
A:73 [in Goedel.PRrepresentable]
a:73 [in hydras.Epsilon0.Epsilon0rpo]
a:73 [in hydras.Prelude.DecPreOrder]
a:73 [in hydras.OrdinalNotations.ON_Generic]
A:73 [in hydras.Prelude.MoreVectors]
a:731 [in gaia_hydras.nfwfgaia]
a:732 [in hydras.Epsilon0.T1]
a:733 [in gaia_hydras.nfwfgaia]
a:735 [in hydras.Epsilon0.T1]
a:737 [in gaia_hydras.nfwfgaia]
a:739 [in gaia_hydras.nfwfgaia]
a:74 [in hydras.Prelude.Comparable]
A:74 [in hydras.Prelude.Sort_spec]
a:74 [in hydras.Ackermann.code]
A:74 [in additions.fib]
a:747 [in gaia_hydras.nfwfgaia]
a:749 [in gaia_hydras.nfwfgaia]
a:75 [in hydras.Gamma0.T2]
a:75 [in gaia_hydras.GPaths]
a:75 [in additions.Euclidean_Chains]
a:75 [in hydras.Schutte.Schutte_basics]
a:752 [in gaia_hydras.nfwfgaia]
a:756 [in hydras.Ackermann.checkPrf]
a:756 [in gaia_hydras.nfwfgaia]
a:758 [in gaia_hydras.nfwfgaia]
A:76 [in hydras.Prelude.Iterates]
a:76 [in hydras.Prelude.Comparable]
a:76 [in additions.Pow_variant]
A:76 [in hydras.Prelude.DecPreOrder]
a:76 [in hydras.Ackermann.fol]
A:76 [in hydras.Schutte.Ordering_Functions]
a:760 [in hydras.Ackermann.checkPrf]
a:760 [in gaia_hydras.nfwfgaia]
a:77 [in hydras.Epsilon0.T1]
a:77 [in hydras.Ackermann.subAll]
a:77 [in hydras.Epsilon0.Epsilon0rpo]
a:77 [in hydras.Epsilon0.Hessenberg]
A:77 [in Goedel.codeSysPrf]
a:77 [in hydras.Schutte.Ordering_Functions]
a:776 [in gaia_hydras.nfwfgaia]
a:779 [in gaia_hydras.nfwfgaia]
a:78 [in hydras.Gamma0.T2]
A:78 [in hydras.rpo.more_list]
a:78 [in hydras.Prelude.Comparable]
a:78 [in gaia_hydras.T1Bridge]
a:78 [in hydras.Schutte.Schutte_basics]
a:78 [in hydras.OrdinalNotations.ON_Generic]
A:78 [in hydras.Prelude.MoreVectors]
a:783 [in gaia_hydras.nfwfgaia]
a:786 [in hydras.Ackermann.checkPrf]
a:786 [in gaia_hydras.nfwfgaia]
a:788 [in hydras.Ackermann.checkPrf]
a:79 [in hydras.Ackermann.subAll]
a:79 [in additions.Pow]
a:79 [in hydras.Prelude.DecPreOrder]
a:79 [in hydras.Schutte.Schutte_basics]
a:79 [in hydras.Ackermann.folLogic3]
a:79 [in hydras.rpo.list_permut]
A:79 [in hydras.Schutte.Ordering_Functions]
a:792 [in gaia_hydras.nfwfgaia]
a:793 [in hydras.Ackermann.checkPrf]
a:799 [in hydras.Ackermann.checkPrf]
A:8 [in hydras.Prelude.DecPreOrder_Instances]
a:8 [in hydras.Ackermann.extEqualNat]
A:8 [in hydras.rpo.more_list]
a:8 [in hydras.OrdinalNotations.ON_O]
a:8 [in gaia_hydras.GCanon]
a:8 [in hydras.OrdinalNotations.OmegaOmega]
a:8 [in hydras.Ackermann.prLogic]
A:8 [in additions.Euclidean_Chains]
a:8 [in hydras.Schutte.PartialFun]
A:8 [in gaia_hydras.GLarge_Sets]
a:8 [in hydras.rpo.dickson]
a:8 [in hydras.MoreAck.FolExamples]
A:8 [in hydras.Ackermann.expressible]
A:80 [in hydras.Prelude.Iterates]
a:80 [in hydras.Prelude.Comparable]
a:80 [in gaia_hydras.GPaths]
a:80 [in hydras.Ackermann.cPair]
A:80 [in hydras.Prelude.MoreVectors]
a:807 [in hydras.Ackermann.checkPrf]
a:81 [in hydras.Ackermann.subAll]
A:81 [in hydras.Prelude.DecPreOrder]
a:81 [in gaia_hydras.T1Bridge]
a:81 [in hydras.Ackermann.cPair]
a:81 [in hydras.Ackermann.fol]
a:81 [in hydras.Schutte.Schutte_basics]
A:81 [in additions.fib]
A:81 [in hydras.OrdinalNotations.ON_Generic]
a:81 [in hydras.Ackermann.folLogic3]
A:81 [in hydras.Schutte.Ordering_Functions]
a:811 [in hydras.Ackermann.checkPrf]
a:819 [in hydras.Ackermann.codeSubFormula]
a:82 [in hydras.Epsilon0.T1]
A:82 [in additions.AM]
a:82 [in hydras.Prelude.Comparable]
A:82 [in hydras.Schutte.PartialFun]
A:82 [in additions.Addition_Chains]
a:822 [in hydras.Ackermann.codeSubFormula]
a:826 [in hydras.Ackermann.codeSubFormula]
a:83 [in hydras.Ackermann.cPair]
a:83 [in hydras.Schutte.Schutte_basics]
a:830 [in gaia_hydras.nfwfgaia]
a:84 [in hydras.Prelude.Comparable]
A:84 [in hydras.Prelude.DecPreOrder]
a:84 [in gaia_hydras.T1Bridge]
A:84 [in Goedel.codeSysPrf]
A:84 [in hydras.Prelude.MoreVectors]
a:842 [in hydras.Ackermann.codeSubFormula]
a:842 [in gaia_hydras.nfwfgaia]
a:845 [in hydras.Ackermann.codeSubFormula]
a:848 [in hydras.Ackermann.codeSubFormula]
a:849 [in hydras.Ackermann.checkPrf]
A:85 [in Goedel.PRrepresentable]
a:85 [in hydras.Ackermann.cPair]
a:85 [in hydras.Ackermann.folLogic3]
a:851 [in hydras.Ackermann.checkPrf]
a:852 [in hydras.Ackermann.codeSubFormula]
a:852 [in gaia_hydras.nfwfgaia]
a:853 [in hydras.Ackermann.checkPrf]
a:854 [in hydras.Ackermann.codeSubFormula]
a:855 [in hydras.Ackermann.checkPrf]
a:856 [in hydras.Ackermann.codeSubFormula]
a:86 [in hydras.Hydra.O2H]
a:86 [in hydras.Prelude.Comparable]
a:86 [in hydras.OrdinalNotations.OmegaOmega]
a:86 [in gaia_hydras.T1Bridge]
a:86 [in gaia_hydras.nfwfgaia]
a:860 [in gaia_hydras.nfwfgaia]
a:865 [in gaia_hydras.nfwfgaia]
a:87 [in hydras.Epsilon0.T1]
A:87 [in hydras.Prelude.DecPreOrder]
a:87 [in hydras.Ackermann.cPair]
a:87 [in additions.Addition_Chains]
A:88 [in hydras.rpo.more_list]
a:88 [in hydras.Prelude.Comparable]
a:88 [in hydras.Epsilon0.Hessenberg]
a:88 [in gaia_hydras.T1Bridge]
A:88 [in additions.Euclidean_Chains]
A:88 [in hydras.Schutte.PartialFun]
a:88 [in hydras.Schutte.Schutte_basics]
A:88 [in Goedel.codeSysPrf]
A:88 [in additions.Addition_Chains]
a:88 [in hydras.MoreAck.PrimRecExamples]
A:88 [in hydras.Prelude.MoreVectors]
a:885 [in gaia_hydras.nfwfgaia]
A:89 [in Goedel.PRrepresentable]
a:89 [in hydras.Prelude.Comparable]
a:89 [in gaia_hydras.T1Bridge]
a:89 [in hydras.Ackermann.cPair]
a:894 [in gaia_hydras.nfwfgaia]
a:898 [in gaia_hydras.nfwfgaia]
a:9 [in gaia_hydras.T1Choice]
a:9 [in hydras.Prelude.Restriction]
a:9 [in additions.FirstSteps]
a:9 [in hydras.Prelude.Comparable]
a:9 [in gaia_hydras.GPaths]
a:9 [in hydras.Ackermann.PAtheory]
a:9 [in hydras.solutions_exercises.MultisetWf]
a:9 [in hydras.OrdinalNotations.OmegaOmega]
a:9 [in gaia_hydras.T1Bridge]
a:9 [in hydras.Ackermann.prLogic]
a:9 [in hydras.Ackermann.NNtheory]
a:9 [in gaia_hydras.GLarge_Sets]
a:9 [in hydras.Prelude.MoreDecidable]
a:9 [in gaia_hydras.T2Bridge]
a:9 [in hydras.Gamma0.Gamma0]
A:9 [in hydras.Prelude.MoreVectors]
a:90 [in hydras.Gamma0.T2]
a:90 [in hydras.Epsilon0.Hessenberg]
a:90 [in gaia_hydras.T1Bridge]
a:90 [in hydras.Schutte.Schutte_basics]
a:90 [in additions.fib]
a:902 [in gaia_hydras.nfwfgaia]
a:91 [in hydras.Prelude.Comparable]
a:91 [in hydras.Prelude.DecPreOrder]
a:91 [in gaia_hydras.T1Bridge]
a:91 [in hydras.Ackermann.cPair]
a:91 [in hydras.OrdinalNotations.ON_Generic]
a:91 [in hydras.Schutte.Ordering_Functions]
a:910 [in gaia_hydras.nfwfgaia]
A:92 [in Goedel.PRrepresentable]
a:92 [in hydras.Epsilon0.Hessenberg]
a:92 [in gaia_hydras.T1Bridge]
a:92 [in hydras.Schutte.Schutte_basics]
a:92 [in hydras.Prelude.MoreVectors]
a:923 [in gaia_hydras.nfwfgaia]
a:925 [in gaia_hydras.nfwfgaia]
a:927 [in gaia_hydras.nfwfgaia]
a:929 [in gaia_hydras.nfwfgaia]
A:93 [in additions.AM]
a:93 [in hydras.Prelude.Comparable]
A:93 [in hydras.Prelude.DecPreOrder]
a:93 [in hydras.Prelude.Merge_Sort]
a:93 [in gaia_hydras.T1Bridge]
a:93 [in hydras.Ackermann.cPair]
A:93 [in hydras.OrdinalNotations.ON_Generic]
A:93 [in Goedel.codeSysPrf]
A:93 [in additions.Addition_Chains]
a:931 [in gaia_hydras.nfwfgaia]
a:938 [in gaia_hydras.nfwfgaia]
a:94 [in hydras.Epsilon0.Hessenberg]
a:94 [in hydras.Ackermann.folLogic3]
a:944 [in gaia_hydras.nfwfgaia]
a:95 [in gaia_hydras.T1Bridge]
a:95 [in hydras.Ackermann.cPair]
a:955 [in gaia_hydras.nfwfgaia]
a:956 [in gaia_hydras.nfwfgaia]
a:958 [in gaia_hydras.nfwfgaia]
A:96 [in Goedel.PRrepresentable]
A:96 [in hydras.rpo.more_list]
a:96 [in hydras.Prelude.DecPreOrder]
a:960 [in gaia_hydras.nfwfgaia]
a:962 [in gaia_hydras.nfwfgaia]
a:964 [in gaia_hydras.nfwfgaia]
a:97 [in hydras.Prelude.Comparable]
a:97 [in hydras.Epsilon0.Hessenberg]
a:97 [in gaia_hydras.T1Bridge]
A:98 [in additions.AM]
A:98 [in hydras.Hydra.Hydra_Lemmas]
a:988 [in gaia_hydras.nfwfgaia]
A:99 [in additions.Euclidean_Chains]
a:99 [in hydras.Schutte.Schutte_basics]
a:994 [in gaia_hydras.nfwfgaia]

B

beta':101 [in hydras.Epsilon0.T1]
beta':105 [in hydras.Epsilon0.T1]
beta':119 [in hydras.Schutte.Ordering_Functions]
beta':138 [in hydras.Gamma0.Gamma0]
beta':195 [in hydras.Epsilon0.T1]
beta':314 [in hydras.Epsilon0.Paths]
beta':326 [in hydras.Epsilon0.T1]
beta':331 [in hydras.Epsilon0.T1]
beta':335 [in hydras.Epsilon0.T1]
beta':463 [in hydras.Gamma0.Gamma0]
beta':506 [in hydras.Gamma0.Gamma0]
beta':510 [in hydras.Gamma0.Gamma0]
beta':680 [in hydras.Epsilon0.T1]
beta':96 [in hydras.Epsilon0.T1]
beta0:138 [in hydras.Schutte.Ordering_Functions]
beta0:139 [in hydras.Schutte.Ordering_Functions]
beta0:678 [in hydras.Gamma0.Gamma0]
beta0:681 [in hydras.Gamma0.Gamma0]
beta0:686 [in hydras.Gamma0.Gamma0]
beta1:134 [in hydras.Schutte.Ordering_Functions]
beta1:30 [in hydras.Gamma0.T2]
beta1:37 [in hydras.Gamma0.T2]
beta1:45 [in hydras.Gamma0.T2]
beta1:495 [in hydras.Gamma0.Gamma0]
beta1:501 [in hydras.Gamma0.Gamma0]
beta1:53 [in hydras.Gamma0.T2]
beta1:541 [in hydras.Gamma0.Gamma0]
beta1:59 [in hydras.Gamma0.T2]
beta1:649 [in hydras.Gamma0.Gamma0]
beta1:65 [in hydras.Gamma0.T2]
beta1:652 [in hydras.Gamma0.Gamma0]
beta1:655 [in hydras.Gamma0.Gamma0]
beta1:657 [in hydras.Gamma0.Gamma0]
beta1:666 [in hydras.Gamma0.Gamma0]
beta1:675 [in hydras.Gamma0.Gamma0]
beta2:135 [in hydras.Schutte.Ordering_Functions]
beta2:31 [in hydras.Gamma0.T2]
beta2:38 [in hydras.Gamma0.T2]
beta2:46 [in hydras.Gamma0.T2]
beta2:496 [in hydras.Gamma0.Gamma0]
beta2:502 [in hydras.Gamma0.Gamma0]
beta2:542 [in hydras.Gamma0.Gamma0]
beta2:650 [in hydras.Gamma0.Gamma0]
beta2:653 [in hydras.Gamma0.Gamma0]
beta2:656 [in hydras.Gamma0.Gamma0]
beta2:658 [in hydras.Gamma0.Gamma0]
beta2:668 [in hydras.Gamma0.Gamma0]
beta2:677 [in hydras.Gamma0.Gamma0]
beta:10 [in hydras.OrdinalNotations.ON_Omega2]
beta:10 [in hydras.OrdinalNotations.ON_O]
beta:10 [in hydras.Schutte.CNF]
beta:10 [in hydras.OrdinalNotations.ON_mult]
beta:10 [in hydras.OrdinalNotations.ON_plus]
beta:10 [in hydras.Epsilon0.Canon]
beta:10 [in hydras.Epsilon0.E0]
beta:10 [in hydras.Epsilon0.Paths]
beta:10 [in gaia_hydras.GHessenberg]
beta:100 [in hydras.Epsilon0.T1]
beta:100 [in hydras.Gamma0.T2]
beta:100 [in hydras.Prelude.Comparable]
beta:100 [in hydras.Epsilon0.Canon]
beta:101 [in hydras.OrdinalNotations.OmegaOmega]
beta:101 [in hydras.Epsilon0.E0]
beta:102 [in hydras.Prelude.Comparable]
beta:102 [in hydras.Epsilon0.Hprime]
beta:102 [in hydras.Epsilon0.Paths]
beta:103 [in hydras.Hydra.O2H]
beta:103 [in hydras.Schutte.Schutte_basics]
beta:103 [in hydras.Epsilon0.E0]
beta:104 [in hydras.Epsilon0.T1]
beta:104 [in hydras.Prelude.Comparable]
beta:105 [in hydras.OrdinalNotations.OmegaOmega]
beta:105 [in hydras.Epsilon0.Paths]
beta:106 [in hydras.Hydra.O2H]
beta:106 [in hydras.Epsilon0.E0]
beta:106 [in hydras.Epsilon0.Hprime]
beta:106 [in hydras.Epsilon0.Paths]
beta:109 [in hydras.Epsilon0.E0]
beta:11 [in hydras.Schutte.Correctness_E0]
beta:11 [in gaia_hydras.GHprime]
beta:110 [in hydras.Epsilon0.Hessenberg]
beta:110 [in hydras.OrdinalNotations.OmegaOmega]
beta:110 [in hydras.Schutte.Schutte_basics]
beta:111 [in hydras.Epsilon0.T1]
beta:111 [in hydras.Hydra.O2H]
beta:111 [in hydras.Epsilon0.Hprime]
beta:111 [in hydras.Epsilon0.Paths]
beta:112 [in hydras.Schutte.Schutte_basics]
beta:113 [in hydras.Epsilon0.Hessenberg]
beta:114 [in hydras.Schutte.Schutte_basics]
beta:114 [in hydras.Epsilon0.E0]
beta:114 [in hydras.Epsilon0.Paths]
beta:115 [in hydras.Epsilon0.Hprime]
beta:115 [in hydras.Epsilon0.Paths]
beta:116 [in hydras.Schutte.Schutte_basics]
beta:116 [in hydras.Epsilon0.E0]
beta:117 [in hydras.Epsilon0.F_alpha]
beta:118 [in gaia_hydras.T1Bridge]
beta:118 [in hydras.Schutte.Schutte_basics]
beta:118 [in hydras.Schutte.Ordering_Functions]
beta:119 [in hydras.Epsilon0.E0]
beta:12 [in hydras.Schutte.CNF]
beta:12 [in hydras.Schutte.AP]
beta:12 [in hydras.OrdinalNotations.ON_mult]
beta:12 [in hydras.OrdinalNotations.ON_Finite]
beta:120 [in hydras.Epsilon0.T1]
beta:120 [in gaia_hydras.T1Bridge]
beta:120 [in hydras.Epsilon0.Hprime]
beta:120 [in hydras.Epsilon0.Paths]
beta:121 [in hydras.Epsilon0.E0]
beta:121 [in hydras.Schutte.Ordering_Functions]
beta:122 [in hydras.Schutte.Schutte_basics]
beta:125 [in hydras.Epsilon0.Hprime]
beta:125 [in hydras.Gamma0.Gamma0]
beta:128 [in gaia_hydras.T1Bridge]
beta:128 [in hydras.Epsilon0.Paths]
beta:128 [in hydras.Gamma0.Gamma0]
beta:129 [in hydras.Epsilon0.Hprime]
beta:13 [in hydras.OrdinalNotations.ON_Omega2]
beta:13 [in hydras.Hydra.Epsilon0_Needed_Std]
beta:130 [in gaia_hydras.T1Bridge]
beta:131 [in hydras.Gamma0.Gamma0]
beta:132 [in hydras.Schutte.Ordering_Functions]
beta:133 [in hydras.Epsilon0.Paths]
beta:133 [in hydras.Schutte.Ordering_Functions]
beta:134 [in gaia_hydras.T1Bridge]
beta:134 [in hydras.Gamma0.Gamma0]
beta:14 [in hydras.solutions_exercises.predSuccUnicity]
beta:14 [in gaia_hydras.GF_alpha]
beta:14 [in hydras.OrdinalNotations.ON_O]
beta:14 [in hydras.Epsilon0.Hessenberg]
beta:14 [in hydras.OrdinalNotations.ON_mult]
beta:14 [in hydras.OrdinalNotations.ON_plus]
beta:142 [in hydras.Epsilon0.T1]
beta:142 [in hydras.Epsilon0.Paths]
beta:142 [in hydras.Schutte.Ordering_Functions]
beta:145 [in hydras.Gamma0.Gamma0]
beta:148 [in hydras.Epsilon0.Paths]
beta:148 [in hydras.Gamma0.Gamma0]
beta:15 [in hydras.Schutte.Correctness_E0]
beta:15 [in hydras.OrdinalNotations.ON_Omega2]
beta:15 [in hydras.Schutte.AP]
beta:15 [in hydras.OrdinalNotations.ON_Finite]
beta:151 [in hydras.Epsilon0.T1]
beta:152 [in hydras.Gamma0.Gamma0]
beta:154 [in hydras.Gamma0.Gamma0]
beta:155 [in hydras.Epsilon0.Large_Sets]
beta:156 [in hydras.Epsilon0.T1]
beta:158 [in hydras.Gamma0.Gamma0]
beta:159 [in hydras.Epsilon0.T1]
beta:16 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:16 [in hydras.OrdinalNotations.ON_mult]
beta:16 [in hydras.OrdinalNotations.ON_plus]
beta:16 [in hydras.Epsilon0.E0]
beta:163 [in gaia_hydras.T1Bridge]
beta:163 [in hydras.Epsilon0.Paths]
beta:165 [in gaia_hydras.T1Bridge]
beta:166 [in hydras.Epsilon0.Paths]
beta:167 [in gaia_hydras.T1Bridge]
beta:17 [in hydras.solutions_exercises.predSuccUnicity]
beta:17 [in hydras.OrdinalNotations.ON_O]
beta:17 [in hydras.Schutte.CNF]
beta:17 [in hydras.Hydra.Epsilon0_Needed_Std]
beta:17 [in hydras.solutions_exercises.F_3]
beta:171 [in gaia_hydras.T1Bridge]
beta:171 [in hydras.Epsilon0.Paths]
beta:173 [in gaia_hydras.T1Bridge]
beta:176 [in hydras.Schutte.Schutte_basics]
beta:177 [in hydras.Gamma0.Gamma0]
beta:179 [in hydras.Schutte.Schutte_basics]
beta:18 [in hydras.solutions_exercises.Limit_Infinity]
beta:18 [in hydras.OrdinalNotations.ON_plus]
beta:18 [in hydras.OrdinalNotations.ON_Finite]
beta:18 [in hydras.Gamma0.Gamma0]
beta:184 [in hydras.Epsilon0.F_alpha]
beta:19 [in hydras.OrdinalNotations.ON_Omega2]
beta:19 [in hydras.Schutte.Schutte_basics]
beta:191 [in hydras.Gamma0.Gamma0]
beta:193 [in hydras.Gamma0.Gamma0]
beta:194 [in hydras.Epsilon0.Paths]
beta:195 [in hydras.Gamma0.Gamma0]
beta:197 [in hydras.Epsilon0.Paths]
beta:197 [in hydras.Gamma0.Gamma0]
beta:199 [in hydras.Gamma0.Gamma0]
beta:2 [in hydras.solutions_exercises.is_F_monotonous]
beta:2 [in hydras.Epsilon0.Hessenberg]
beta:2 [in hydras.Schutte.Critical]
beta:2 [in hydras.Schutte.AP]
beta:2 [in gaia_hydras.GHessenberg]
beta:20 [in hydras.Schutte.Correctness_E0]
beta:20 [in hydras.OrdinalNotations.ON_O]
beta:20 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:20 [in hydras.OrdinalNotations.ON_Finite]
beta:201 [in hydras.Gamma0.Gamma0]
beta:203 [in hydras.Gamma0.Gamma0]
beta:205 [in hydras.Gamma0.Gamma0]
beta:209 [in hydras.Epsilon0.T1]
beta:21 [in hydras.Gamma0.T2]
beta:21 [in hydras.solutions_exercises.Limit_Infinity]
beta:21 [in hydras.Epsilon0.E0]
beta:21 [in hydras.Epsilon0.Paths]
beta:21 [in hydras.Schutte.Addition]
beta:214 [in hydras.Gamma0.Gamma0]
beta:217 [in hydras.Schutte.Schutte_basics]
beta:219 [in hydras.Schutte.Schutte_basics]
beta:22 [in hydras.Schutte.CNF]
beta:22 [in hydras.solutions_exercises.F_3]
beta:22 [in hydras.Gamma0.Gamma0]
beta:221 [in hydras.Schutte.Schutte_basics]
beta:225 [in hydras.Epsilon0.Paths]
beta:23 [in hydras.Schutte.Addition]
beta:233 [in hydras.Epsilon0.Paths]
beta:239 [in hydras.Gamma0.Gamma0]
beta:24 [in hydras.Epsilon0.T1]
beta:24 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:24 [in hydras.Hydra.Epsilon0_Needed_Std]
beta:24 [in hydras.Schutte.Schutte_basics]
beta:24 [in hydras.solutions_exercises.F_3]
beta:24 [in hydras.Epsilon0.Paths]
beta:241 [in hydras.Epsilon0.T1]
beta:241 [in hydras.Gamma0.Gamma0]
beta:243 [in hydras.Epsilon0.T1]
beta:243 [in hydras.Epsilon0.Paths]
beta:245 [in hydras.Epsilon0.T1]
beta:249 [in hydras.Epsilon0.Paths]
beta:25 [in hydras.Gamma0.T2]
beta:25 [in hydras.Epsilon0.Paths]
beta:25 [in hydras.Schutte.Addition]
beta:252 [in hydras.Epsilon0.Paths]
beta:255 [in hydras.Epsilon0.Paths]
beta:258 [in hydras.Epsilon0.Paths]
beta:259 [in hydras.Epsilon0.Paths]
beta:26 [in gaia_hydras.GF_alpha]
beta:26 [in hydras.OrdinalNotations.ON_Generic]
beta:26 [in hydras.Schutte.Ordering_Functions]
beta:262 [in hydras.Epsilon0.Paths]
beta:266 [in hydras.Epsilon0.Paths]
beta:269 [in hydras.Epsilon0.Paths]
beta:27 [in hydras.Hydra.O2H]
beta:27 [in hydras.Schutte.Critical]
beta:27 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:274 [in hydras.Epsilon0.Paths]
beta:277 [in hydras.Epsilon0.Paths]
beta:28 [in gaia_hydras.GF_alpha]
beta:28 [in hydras.Schutte.CNF]
beta:28 [in hydras.Schutte.Addition]
beta:282 [in hydras.Epsilon0.Paths]
beta:285 [in hydras.Epsilon0.Paths]
beta:288 [in hydras.Epsilon0.Paths]
beta:289 [in hydras.Epsilon0.T1]
beta:29 [in hydras.Epsilon0.T1]
beta:29 [in hydras.OrdinalNotations.ON_Omega2]
beta:291 [in hydras.Epsilon0.T1]
beta:291 [in hydras.Epsilon0.Paths]
beta:293 [in hydras.Epsilon0.T1]
beta:294 [in hydras.Epsilon0.Paths]
beta:295 [in hydras.Epsilon0.T1]
beta:297 [in hydras.Epsilon0.T1]
beta:297 [in hydras.Epsilon0.Paths]
beta:299 [in hydras.Epsilon0.T1]
beta:3 [in hydras.solutions_exercises.schutte_cnf_counter_example]
beta:3 [in gaia_hydras.ON_gfinite]
beta:3 [in hydras.Epsilon0.Paths]
beta:3 [in hydras.Schutte.Ordering_Functions]
beta:30 [in hydras.Epsilon0.E0]
beta:30 [in hydras.Schutte.Addition]
beta:301 [in hydras.Epsilon0.T1]
beta:301 [in hydras.Epsilon0.Paths]
beta:303 [in hydras.Epsilon0.T1]
beta:305 [in hydras.Epsilon0.T1]
beta:305 [in hydras.Epsilon0.Paths]
beta:308 [in hydras.Epsilon0.Paths]
beta:313 [in hydras.Epsilon0.Paths]
beta:314 [in hydras.Epsilon0.T1]
beta:317 [in hydras.Epsilon0.T1]
beta:317 [in hydras.Epsilon0.Paths]
beta:32 [in hydras.Schutte.CNF]
beta:32 [in hydras.Schutte.Critical]
beta:32 [in hydras.Epsilon0.E0]
beta:320 [in hydras.Epsilon0.T1]
beta:321 [in hydras.Epsilon0.Paths]
beta:325 [in hydras.Epsilon0.T1]
beta:33 [in hydras.Schutte.Correctness_E0]
beta:33 [in hydras.Schutte.Schutte_basics]
beta:33 [in hydras.OrdinalNotations.ON_Finite]
beta:33 [in hydras.Schutte.Addition]
beta:330 [in hydras.Epsilon0.T1]
beta:334 [in hydras.Epsilon0.T1]
beta:335 [in hydras.Epsilon0.Paths]
beta:338 [in hydras.Epsilon0.T1]
beta:34 [in hydras.Epsilon0.E0]
beta:340 [in hydras.Epsilon0.Paths]
beta:341 [in hydras.Epsilon0.T1]
beta:344 [in hydras.Epsilon0.Paths]
beta:348 [in hydras.Epsilon0.Paths]
beta:35 [in hydras.Schutte.Correctness_E0]
beta:35 [in hydras.OrdinalNotations.ON_Finite]
beta:351 [in hydras.Epsilon0.T1]
beta:352 [in hydras.Epsilon0.Paths]
beta:354 [in hydras.Epsilon0.T1]
beta:358 [in hydras.Epsilon0.Paths]
beta:36 [in hydras.Epsilon0.E0]
beta:36 [in hydras.Epsilon0.Paths]
beta:361 [in hydras.Epsilon0.Paths]
beta:365 [in hydras.Epsilon0.Paths]
beta:37 [in hydras.Epsilon0.T1]
beta:37 [in hydras.Schutte.Correctness_E0]
beta:37 [in hydras.Schutte.Critical]
beta:378 [in hydras.Epsilon0.Paths]
beta:38 [in hydras.Epsilon0.E0]
beta:38 [in hydras.Epsilon0.Paths]
beta:384 [in hydras.Epsilon0.Paths]
beta:389 [in hydras.Epsilon0.Paths]
beta:39 [in hydras.Epsilon0.T1]
beta:39 [in hydras.Schutte.Correctness_E0]
beta:39 [in hydras.Schutte.Addition]
beta:393 [in hydras.Epsilon0.Paths]
beta:395 [in hydras.Epsilon0.T1]
beta:396 [in hydras.Epsilon0.Paths]
beta:4 [in hydras.OrdinalNotations.ON_Omega2]
beta:4 [in hydras.Gamma0.T2]
beta:4 [in hydras.Epsilon0.Hessenberg]
beta:4 [in hydras.Schutte.Critical]
beta:4 [in hydras.Schutte.Schutte_basics]
beta:40 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
beta:400 [in hydras.Epsilon0.T1]
beta:400 [in hydras.Epsilon0.Paths]
beta:405 [in hydras.Epsilon0.Paths]
beta:407 [in hydras.Epsilon0.T1]
beta:408 [in hydras.Epsilon0.T1]
beta:409 [in hydras.Epsilon0.Paths]
beta:41 [in hydras.Epsilon0.T1]
beta:41 [in hydras.Schutte.Critical]
beta:415 [in hydras.Epsilon0.Paths]
beta:417 [in hydras.Epsilon0.Paths]
beta:421 [in hydras.Epsilon0.Paths]
beta:425 [in hydras.Epsilon0.Paths]
beta:429 [in hydras.Epsilon0.Paths]
beta:43 [in hydras.Schutte.Correctness_E0]
beta:43 [in hydras.OrdinalNotations.ON_Omega2]
beta:43 [in hydras.Schutte.Addition]
beta:435 [in hydras.Epsilon0.Paths]
beta:439 [in hydras.Epsilon0.Paths]
beta:44 [in hydras.Schutte.CNF]
beta:44 [in hydras.Schutte.Critical]
beta:44 [in hydras.Epsilon0.L_alpha]
beta:450 [in hydras.Epsilon0.Paths]
beta:454 [in hydras.Gamma0.Gamma0]
beta:456 [in hydras.Epsilon0.Paths]
beta:456 [in hydras.Gamma0.Gamma0]
beta:457 [in hydras.Epsilon0.T1]
beta:46 [in hydras.Schutte.Critical]
beta:460 [in hydras.Epsilon0.Paths]
beta:461 [in hydras.Gamma0.Gamma0]
beta:464 [in hydras.Epsilon0.Paths]
beta:465 [in hydras.Gamma0.Gamma0]
beta:466 [in hydras.Epsilon0.Paths]
beta:467 [in hydras.Epsilon0.T1]
beta:47 [in hydras.OrdinalNotations.ON_Omega2]
beta:47 [in hydras.Schutte.CNF]
beta:473 [in hydras.Epsilon0.T1]
beta:475 [in hydras.Epsilon0.T1]
beta:48 [in hydras.Schutte.AP]
beta:48 [in hydras.Epsilon0.L_alpha]
beta:48 [in hydras.Epsilon0.E0]
beta:481 [in hydras.Epsilon0.T1]
beta:483 [in hydras.Epsilon0.T1]
beta:483 [in hydras.Epsilon0.Paths]
beta:485 [in hydras.Epsilon0.T1]
beta:487 [in hydras.Epsilon0.Paths]
beta:488 [in hydras.Epsilon0.T1]
beta:49 [in hydras.OrdinalNotations.ON_Omega2]
beta:49 [in hydras.Schutte.CNF]
beta:49 [in hydras.Schutte.Critical]
beta:491 [in hydras.Epsilon0.Paths]
beta:492 [in hydras.Epsilon0.T1]
beta:493 [in hydras.Gamma0.Gamma0]
beta:495 [in hydras.Epsilon0.Paths]
beta:499 [in hydras.Epsilon0.T1]
beta:499 [in hydras.Epsilon0.Paths]
beta:5 [in hydras.Epsilon0.T1]
beta:5 [in hydras.solutions_exercises.schutte_cnf_counter_example]
beta:5 [in hydras.OrdinalNotations.ON_Finite]
beta:5 [in hydras.Epsilon0.E0]
beta:50 [in hydras.Schutte.AP]
beta:50 [in hydras.Epsilon0.L_alpha]
beta:500 [in hydras.Gamma0.Gamma0]
beta:503 [in hydras.Epsilon0.Paths]
beta:504 [in hydras.Gamma0.Gamma0]
beta:507 [in hydras.Epsilon0.Paths]
beta:508 [in hydras.Gamma0.Gamma0]
beta:51 [in hydras.Epsilon0.E0]
beta:512 [in hydras.Epsilon0.Paths]
beta:512 [in hydras.Gamma0.Gamma0]
beta:515 [in hydras.Gamma0.Gamma0]
beta:518 [in hydras.Epsilon0.Paths]
beta:52 [in hydras.Hydra.O2H]
beta:52 [in hydras.Schutte.AP]
beta:52 [in hydras.Epsilon0.Hprime]
beta:52 [in hydras.Schutte.Ordering_Functions]
beta:525 [in hydras.Epsilon0.Paths]
beta:53 [in hydras.Epsilon0.E0]
beta:54 [in hydras.Schutte.AP]
beta:549 [in hydras.Epsilon0.Paths]
beta:55 [in hydras.Epsilon0.E0]
beta:553 [in hydras.Epsilon0.Paths]
beta:554 [in hydras.Gamma0.Gamma0]
beta:557 [in hydras.Epsilon0.Paths]
beta:56 [in hydras.Epsilon0.Hessenberg]
beta:56 [in hydras.Schutte.AP]
beta:56 [in hydras.Epsilon0.Paths]
beta:560 [in hydras.Epsilon0.T1]
beta:562 [in hydras.Epsilon0.Paths]
beta:565 [in hydras.Epsilon0.Paths]
beta:57 [in hydras.Hydra.O2H]
beta:57 [in hydras.Schutte.Addition]
beta:570 [in hydras.Epsilon0.T1]
beta:570 [in hydras.Epsilon0.Paths]
beta:577 [in hydras.Epsilon0.Paths]
beta:577 [in hydras.Gamma0.Gamma0]
beta:58 [in hydras.Epsilon0.Hessenberg]
beta:58 [in hydras.Epsilon0.Canon]
beta:58 [in hydras.Epsilon0.E0]
beta:582 [in hydras.Gamma0.Gamma0]
beta:583 [in hydras.Epsilon0.T1]
beta:583 [in hydras.Epsilon0.Paths]
beta:586 [in hydras.Epsilon0.T1]
beta:587 [in hydras.Epsilon0.Paths]
beta:589 [in hydras.Epsilon0.T1]
beta:59 [in hydras.Epsilon0.Paths]
beta:590 [in hydras.Epsilon0.Paths]
beta:6 [in hydras.Schutte.CNF]
beta:6 [in gaia_hydras.ON_gfinite]
beta:60 [in hydras.Schutte.Addition]
beta:601 [in hydras.Gamma0.Gamma0]
beta:61 [in hydras.Schutte.AP]
beta:62 [in hydras.Epsilon0.Hessenberg]
beta:62 [in hydras.Schutte.CNF]
beta:62 [in hydras.Epsilon0.Canon]
beta:622 [in hydras.Gamma0.Gamma0]
beta:624 [in hydras.Gamma0.Gamma0]
beta:626 [in hydras.Gamma0.Gamma0]
beta:63 [in hydras.Epsilon0.Paths]
beta:630 [in hydras.Gamma0.Gamma0]
beta:632 [in hydras.Epsilon0.T1]
beta:634 [in hydras.Epsilon0.T1]
beta:636 [in hydras.Epsilon0.T1]
beta:64 [in hydras.Schutte.Correctness_E0]
beta:64 [in hydras.Epsilon0.Hessenberg]
beta:641 [in hydras.Gamma0.Gamma0]
beta:644 [in hydras.Epsilon0.T1]
beta:645 [in hydras.Epsilon0.T1]
beta:648 [in hydras.Epsilon0.T1]
beta:65 [in hydras.Schutte.AP]
beta:65 [in hydras.Schutte.Addition]
beta:651 [in hydras.Epsilon0.T1]
beta:653 [in hydras.Epsilon0.T1]
beta:659 [in hydras.Epsilon0.T1]
beta:66 [in hydras.Epsilon0.Paths]
beta:661 [in hydras.Gamma0.Gamma0]
beta:662 [in hydras.Gamma0.Gamma0]
beta:663 [in hydras.Epsilon0.T1]
beta:666 [in hydras.Epsilon0.T1]
beta:668 [in hydras.Epsilon0.T1]
beta:67 [in hydras.Schutte.AP]
beta:670 [in hydras.Epsilon0.T1]
beta:672 [in hydras.Epsilon0.T1]
beta:675 [in hydras.Epsilon0.T1]
beta:679 [in hydras.Epsilon0.T1]
beta:679 [in hydras.Gamma0.Gamma0]
beta:682 [in hydras.Epsilon0.T1]
beta:682 [in hydras.Gamma0.Gamma0]
beta:684 [in hydras.Epsilon0.T1]
beta:687 [in hydras.Gamma0.Gamma0]
beta:69 [in hydras.Epsilon0.Hessenberg]
beta:7 [in hydras.Schutte.Critical]
beta:7 [in hydras.Epsilon0.Large_Sets_Examples]
beta:70 [in hydras.Epsilon0.E0]
beta:701 [in hydras.Gamma0.Gamma0]
beta:703 [in hydras.Gamma0.Gamma0]
beta:705 [in hydras.Gamma0.Gamma0]
beta:706 [in hydras.Epsilon0.T1]
beta:71 [in hydras.OrdinalNotations.ON_Omega2]
beta:71 [in hydras.Epsilon0.F_alpha]
beta:71 [in hydras.Epsilon0.Hessenberg]
beta:711 [in hydras.Gamma0.Gamma0]
beta:712 [in hydras.Epsilon0.T1]
beta:714 [in hydras.Gamma0.Gamma0]
beta:715 [in hydras.Epsilon0.T1]
beta:716 [in hydras.Gamma0.Gamma0]
beta:718 [in hydras.Epsilon0.T1]
beta:72 [in hydras.Epsilon0.E0]
beta:721 [in hydras.Epsilon0.T1]
beta:73 [in hydras.Epsilon0.Canon]
beta:74 [in hydras.Epsilon0.E0]
beta:75 [in hydras.OrdinalNotations.ON_Generic]
beta:76 [in hydras.Epsilon0.F_alpha]
beta:76 [in hydras.Epsilon0.E0]
beta:76 [in hydras.Epsilon0.Paths]
beta:78 [in hydras.Epsilon0.Paths]
beta:79 [in hydras.OrdinalNotations.OmegaOmega]
beta:79 [in hydras.Epsilon0.E0]
beta:8 [in hydras.Schutte.Correctness_E0]
beta:8 [in hydras.Epsilon0.Paths]
beta:8 [in gaia_hydras.GHessenberg]
beta:80 [in hydras.Hydra.O2H]
beta:81 [in hydras.Epsilon0.F_alpha]
beta:81 [in hydras.Epsilon0.Hessenberg]
beta:81 [in hydras.OrdinalNotations.OmegaOmega]
beta:81 [in hydras.Epsilon0.E0]
beta:83 [in hydras.OrdinalNotations.OmegaOmega]
beta:84 [in hydras.Epsilon0.E0]
beta:85 [in hydras.Epsilon0.F_alpha]
beta:85 [in hydras.OrdinalNotations.OmegaOmega]
beta:86 [in hydras.Epsilon0.Canon]
beta:86 [in hydras.Schutte.Schutte_basics]
beta:87 [in hydras.Epsilon0.E0]
beta:88 [in hydras.Epsilon0.Paths]
beta:89 [in hydras.Hydra.O2H]
beta:9 [in hydras.Schutte.AP]
beta:9 [in gaia_hydras.ON_gfinite]
beta:9 [in hydras.OrdinalNotations.ON_Finite]
beta:90 [in hydras.Epsilon0.E0]
beta:90 [in hydras.Epsilon0.Paths]
beta:93 [in hydras.OrdinalNotations.OmegaOmega]
beta:93 [in hydras.Epsilon0.Canon]
beta:93 [in hydras.Epsilon0.E0]
beta:93 [in hydras.Epsilon0.Hprime]
beta:95 [in hydras.Epsilon0.T1]
beta:95 [in hydras.OrdinalNotations.OmegaOmega]
beta:95 [in hydras.Schutte.Schutte_basics]
beta:96 [in hydras.Epsilon0.F_alpha]
beta:97 [in hydras.Gamma0.T2]
beta:99 [in hydras.OrdinalNotations.OmegaOmega]
beta:99 [in hydras.Epsilon0.E0]
beta:99 [in hydras.Epsilon0.Paths]
BVar:28 [in gaia_hydras.GHydra]
b'':45 [in hydras.Hydra.BigBattle]
b':1023 [in gaia_hydras.nfwfgaia]
b':1151 [in gaia_hydras.nfwfgaia]
b':118 [in hydras.Epsilon0.T1]
b':1280 [in gaia_hydras.nfwfgaia]
b':1285 [in gaia_hydras.nfwfgaia]
b':1288 [in gaia_hydras.nfwfgaia]
b':1291 [in gaia_hydras.nfwfgaia]
b':1294 [in gaia_hydras.nfwfgaia]
b':1298 [in gaia_hydras.nfwfgaia]
b':13 [in hydras.Prelude.Simple_LexProd]
b':1302 [in gaia_hydras.nfwfgaia]
b':1306 [in gaia_hydras.nfwfgaia]
b':1310 [in gaia_hydras.nfwfgaia]
b':1316 [in gaia_hydras.nfwfgaia]
b':132 [in gaia_hydras.nfwfgaia]
b':1336 [in gaia_hydras.nfwfgaia]
b':1382 [in gaia_hydras.nfwfgaia]
b':1392 [in gaia_hydras.nfwfgaia]
b':1420 [in gaia_hydras.nfwfgaia]
b':1426 [in gaia_hydras.nfwfgaia]
b':1434 [in gaia_hydras.nfwfgaia]
b':1498 [in gaia_hydras.nfwfgaia]
b':1506 [in gaia_hydras.nfwfgaia]
b':1549 [in gaia_hydras.nfwfgaia]
b':1583 [in gaia_hydras.nfwfgaia]
b':16 [in hydras.Prelude.Simple_LexProd]
b':1607 [in gaia_hydras.nfwfgaia]
b':1616 [in gaia_hydras.nfwfgaia]
b':1618 [in gaia_hydras.nfwfgaia]
b':1625 [in gaia_hydras.nfwfgaia]
b':1627 [in gaia_hydras.nfwfgaia]
b':1633 [in gaia_hydras.nfwfgaia]
b':1689 [in gaia_hydras.nfwfgaia]
b':1695 [in gaia_hydras.nfwfgaia]
b':175 [in gaia_hydras.nfwfgaia]
b':177 [in hydras.Epsilon0.T1]
b':185 [in hydras.Epsilon0.T1]
b':20 [in hydras.Epsilon0.Hessenberg]
b':2064 [in gaia_hydras.nfwfgaia]
b':2078 [in gaia_hydras.nfwfgaia]
b':2083 [in gaia_hydras.nfwfgaia]
b':224 [in hydras.Epsilon0.T1]
b':226 [in gaia_hydras.nfwfgaia]
b':232 [in gaia_hydras.nfwfgaia]
b':233 [in hydras.Epsilon0.T1]
b':24 [in hydras.Hydra.BigBattle]
b':247 [in hydras.Epsilon0.T1]
b':25 [in additions.Monoid_instances]
b':259 [in gaia_hydras.nfwfgaia]
b':26 [in hydras.Schutte.Correctness_E0]
b':26 [in hydras.Epsilon0.Hessenberg]
b':286 [in hydras.Epsilon0.T1]
b':295 [in gaia_hydras.nfwfgaia]
b':30 [in hydras.Schutte.PartialFun]
b':302 [in hydras.Gamma0.Gamma0]
b':31 [in hydras.Schutte.Correctness_E0]
b':31 [in hydras.Epsilon0.Hessenberg]
b':33 [in hydras.Hydra.BigBattle]
b':34 [in hydras.Gamma0.Gamma0]
b':35 [in hydras.Epsilon0.T1]
b':360 [in hydras.Epsilon0.T1]
b':365 [in hydras.Epsilon0.T1]
b':37 [in hydras.Epsilon0.Hessenberg]
b':379 [in hydras.Epsilon0.T1]
b':384 [in hydras.Epsilon0.T1]
b':389 [in hydras.Epsilon0.T1]
b':41 [in hydras.Hydra.BigBattle]
b':426 [in gaia_hydras.nfwfgaia]
b':43 [in hydras.Epsilon0.Hessenberg]
b':430 [in hydras.Epsilon0.T1]
b':431 [in gaia_hydras.nfwfgaia]
b':435 [in hydras.Epsilon0.T1]
b':441 [in hydras.Epsilon0.T1]
b':46 [in hydras.Prelude.DecPreOrder_Instances]
b':491 [in hydras.Gamma0.Gamma0]
b':50 [in hydras.Prelude.DecPreOrder_Instances]
b':51 [in hydras.Epsilon0.Epsilon0rpo]
b':53 [in hydras.Epsilon0.Hessenberg]
b':536 [in hydras.Epsilon0.T1]
b':54 [in hydras.Epsilon0.T1]
b':54 [in hydras.Prelude.DecPreOrder_Instances]
b':542 [in hydras.Ackermann.primRec]
b':55 [in gaia_hydras.T1Bridge]
b':57 [in hydras.Epsilon0.Epsilon0rpo]
b':57 [in hydras.Hydra.BigBattle]
b':58 [in hydras.Prelude.DecPreOrder_Instances]
b':58 [in hydras.Prelude.Sort_spec]
b':59 [in hydras.OrdinalNotations.OmegaOmega]
b':60 [in gaia_hydras.T1Bridge]
b':62 [in hydras.Prelude.DecPreOrder_Instances]
b':65 [in gaia_hydras.T1Bridge]
b':69 [in hydras.Epsilon0.T1]
b':71 [in gaia_hydras.T1Bridge]
b':727 [in hydras.Epsilon0.T1]
b':76 [in hydras.Epsilon0.T1]
b':77 [in gaia_hydras.T1Bridge]
b':791 [in gaia_hydras.nfwfgaia]
b':81 [in hydras.Epsilon0.T1]
b':82 [in hydras.Gamma0.T2]
b':847 [in gaia_hydras.nfwfgaia]
b':86 [in hydras.Epsilon0.T1]
b':870 [in gaia_hydras.nfwfgaia]
b':897 [in gaia_hydras.nfwfgaia]
b':9 [in hydras.Schutte.PartialFun]
b':90 [in hydras.Epsilon0.T1]
b':901 [in gaia_hydras.nfwfgaia]
b':907 [in gaia_hydras.nfwfgaia]
b':915 [in gaia_hydras.nfwfgaia]
b':943 [in gaia_hydras.nfwfgaia]
b':991 [in gaia_hydras.nfwfgaia]
b0:193 [in hydras.Ackermann.cPair]
b0:197 [in hydras.Ackermann.cPair]
b0:201 [in hydras.Ackermann.cPair]
b0:239 [in hydras.Ackermann.cPair]
b0:241 [in hydras.Ackermann.cPair]
b0:302 [in hydras.Ackermann.folProp]
b0:309 [in hydras.Ackermann.folProp]
b0:318 [in hydras.Ackermann.folProp]
b0:325 [in hydras.Ackermann.folProp]
b0:334 [in hydras.Ackermann.folProp]
b0:341 [in hydras.Ackermann.folProp]
b0:350 [in hydras.Ackermann.folProp]
b0:357 [in hydras.Ackermann.folProp]
b0:45 [in hydras.Ackermann.LNN2LNT]
b0:721 [in hydras.Ackermann.primRec]
b0:725 [in hydras.Ackermann.primRec]
b0:727 [in hydras.Ackermann.primRec]
b0:730 [in hydras.Ackermann.primRec]
b0:733 [in hydras.Ackermann.primRec]
b0:736 [in hydras.Ackermann.primRec]
b0:739 [in hydras.Ackermann.primRec]
b0:742 [in hydras.Ackermann.primRec]
b0:745 [in hydras.Ackermann.primRec]
b0:748 [in hydras.Ackermann.primRec]
b0:751 [in hydras.Ackermann.primRec]
b0:754 [in hydras.Ackermann.primRec]
b0:757 [in hydras.Ackermann.primRec]
b0:759 [in hydras.Ackermann.primRec]
b0:761 [in hydras.Ackermann.primRec]
b0:763 [in hydras.Ackermann.primRec]
b0:765 [in hydras.Ackermann.primRec]
b0:767 [in hydras.Ackermann.primRec]
b0:769 [in hydras.Ackermann.primRec]
b0:771 [in hydras.Ackermann.primRec]
b0:773 [in hydras.Ackermann.primRec]
b0:775 [in hydras.Ackermann.primRec]
b0:777 [in hydras.Ackermann.primRec]
b0:779 [in hydras.Ackermann.primRec]
b0:781 [in hydras.Ackermann.primRec]
b0:783 [in hydras.Ackermann.primRec]
b0:785 [in hydras.Ackermann.primRec]
b0:788 [in hydras.Ackermann.primRec]
b0:792 [in hydras.Ackermann.primRec]
b0:795 [in hydras.Ackermann.primRec]
b0:799 [in hydras.Ackermann.primRec]
b0:805 [in hydras.Ackermann.primRec]
b0:810 [in hydras.Ackermann.primRec]
b0:813 [in hydras.Ackermann.primRec]
b1:1362 [in hydras.Ackermann.codeSubFormula]
b1:366 [in hydras.Ackermann.folProp]
b1:37 [in hydras.Gamma0.Gamma0]
b1:373 [in hydras.Ackermann.folProp]
b1:382 [in hydras.Ackermann.folProp]
b1:389 [in hydras.Ackermann.folProp]
b1:45 [in hydras.Gamma0.Gamma0]
b1:458 [in hydras.Gamma0.Gamma0]
b1:468 [in hydras.Gamma0.Gamma0]
b1:472 [in hydras.Gamma0.Gamma0]
b1:474 [in hydras.Gamma0.Gamma0]
b1:477 [in hydras.Gamma0.Gamma0]
b1:484 [in hydras.Gamma0.Gamma0]
b1:486 [in hydras.Gamma0.Gamma0]
b1:521 [in hydras.Gamma0.Gamma0]
b1:53 [in hydras.Gamma0.Gamma0]
b1:555 [in hydras.Gamma0.Gamma0]
b1:559 [in hydras.Gamma0.Gamma0]
b1:61 [in hydras.Gamma0.Gamma0]
b1:69 [in hydras.Gamma0.Gamma0]
b1:77 [in hydras.Gamma0.Gamma0]
b1:82 [in hydras.rpo.list_permut]
b1:83 [in hydras.Gamma0.Gamma0]
b2:1363 [in hydras.Ackermann.codeSubFormula]
b2:38 [in hydras.Gamma0.Gamma0]
b2:459 [in hydras.Gamma0.Gamma0]
b2:46 [in hydras.Gamma0.Gamma0]
b2:469 [in hydras.Gamma0.Gamma0]
b2:473 [in hydras.Gamma0.Gamma0]
b2:475 [in hydras.Gamma0.Gamma0]
b2:478 [in hydras.Gamma0.Gamma0]
b2:485 [in hydras.Gamma0.Gamma0]
b2:487 [in hydras.Gamma0.Gamma0]
b2:522 [in hydras.Gamma0.Gamma0]
b2:54 [in hydras.Gamma0.Gamma0]
b2:556 [in hydras.Gamma0.Gamma0]
b2:560 [in hydras.Gamma0.Gamma0]
b2:62 [in hydras.Gamma0.Gamma0]
b2:70 [in hydras.Gamma0.Gamma0]
b2:84 [in hydras.rpo.list_permut]
B:1 [in hydras.Hydra.Epsilon0_Needed_Generic]
b:10 [in hydras.Prelude.Comparable]
b:10 [in gaia_hydras.GPaths]
b:10 [in hydras.Ackermann.PAtheory]
b:10 [in gaia_hydras.T1Bridge]
b:10 [in hydras.Ackermann.NNtheory]
b:10 [in hydras.Prelude.MoreDecidable]
b:10 [in gaia_hydras.T2Bridge]
b:10 [in hydras.Gamma0.Gamma0]
b:1002 [in gaia_hydras.nfwfgaia]
b:1005 [in gaia_hydras.nfwfgaia]
b:1009 [in gaia_hydras.nfwfgaia]
b:101 [in gaia_hydras.nfwfgaia]
b:1013 [in gaia_hydras.nfwfgaia]
b:1015 [in gaia_hydras.nfwfgaia]
b:102 [in hydras.Ackermann.model]
b:1020 [in gaia_hydras.nfwfgaia]
b:1027 [in gaia_hydras.nfwfgaia]
b:103 [in hydras.Prelude.Merge_Sort]
b:103 [in gaia_hydras.T1Bridge]
b:103 [in hydras.Ackermann.folLogic3]
b:1030 [in gaia_hydras.nfwfgaia]
b:1035 [in gaia_hydras.nfwfgaia]
b:104 [in hydras.Epsilon0.Hessenberg]
b:104 [in hydras.Ackermann.cPair]
b:105 [in gaia_hydras.T1Bridge]
b:1050 [in gaia_hydras.nfwfgaia]
b:106 [in hydras.Ackermann.model]
b:106 [in hydras.Ackermann.cPair]
b:107 [in hydras.Epsilon0.Hessenberg]
b:1078 [in gaia_hydras.nfwfgaia]
b:108 [in gaia_hydras.T1Bridge]
b:108 [in hydras.Ackermann.cPair]
b:109 [in hydras.Hydra.O2H]
B:109 [in hydras.Prelude.MoreLists]
b:109 [in hydras.Ackermann.codeSubFormula]
b:1098 [in gaia_hydras.nfwfgaia]
b:11 [in gaia_hydras.T1Choice]
b:110 [in hydras.Ackermann.model]
b:110 [in gaia_hydras.T1Bridge]
B:110 [in hydras.OrdinalNotations.ON_Generic]
b:1100 [in gaia_hydras.nfwfgaia]
b:1102 [in gaia_hydras.nfwfgaia]
b:1104 [in gaia_hydras.nfwfgaia]
b:1107 [in gaia_hydras.nfwfgaia]
b:111 [in hydras.Gamma0.T2]
b:111 [in hydras.Ackermann.folProp]
b:111 [in hydras.Ackermann.cPair]
b:1110 [in gaia_hydras.nfwfgaia]
b:1112 [in gaia_hydras.nfwfgaia]
b:112 [in hydras.Ackermann.codeSubFormula]
b:112 [in gaia_hydras.nfwfgaia]
b:1127 [in gaia_hydras.nfwfgaia]
b:113 [in hydras.Hydra.O2H]
b:1130 [in gaia_hydras.nfwfgaia]
b:1132 [in gaia_hydras.nfwfgaia]
b:114 [in hydras.Ackermann.model]
b:114 [in hydras.Ackermann.cPair]
b:1145 [in gaia_hydras.nfwfgaia]
b:1149 [in gaia_hydras.nfwfgaia]
b:115 [in hydras.Epsilon0.T1]
b:1155 [in gaia_hydras.nfwfgaia]
b:1159 [in gaia_hydras.nfwfgaia]
b:116 [in hydras.Epsilon0.Hessenberg]
B:116 [in hydras.Schutte.Ordering_Functions]
b:1161 [in gaia_hydras.nfwfgaia]
b:1163 [in gaia_hydras.nfwfgaia]
b:1165 [in gaia_hydras.nfwfgaia]
b:1167 [in gaia_hydras.nfwfgaia]
B:117 [in hydras.Schutte.Ordering_Functions]
b:1170 [in gaia_hydras.nfwfgaia]
b:1172 [in gaia_hydras.nfwfgaia]
b:118 [in hydras.Ackermann.cPair]
b:118 [in hydras.Ackermann.codeList]
b:119 [in hydras.Ackermann.codeList]
b:1192 [in gaia_hydras.nfwfgaia]
b:1194 [in gaia_hydras.nfwfgaia]
b:1196 [in gaia_hydras.nfwfgaia]
B:12 [in hydras.rpo.more_list]
b:12 [in gaia_hydras.T1Bridge]
b:12 [in hydras.Ackermann.prLogic]
b:12 [in hydras.Schutte.PartialFun]
b:12 [in hydras.Ackermann.NNtheory]
b:12 [in hydras.Schutte.Ordering_Functions]
b:12 [in hydras.solutions_exercises.isqrt]
b:12 [in gaia_hydras.T2Bridge]
b:12 [in hydras.Prelude.Simple_LexProd]
B:120 [in hydras.Prelude.MoreLists]
b:120 [in hydras.Epsilon0.Hessenberg]
b:120 [in hydras.Ackermann.cPair]
b:1200 [in gaia_hydras.nfwfgaia]
b:1209 [in gaia_hydras.nfwfgaia]
b:1212 [in gaia_hydras.nfwfgaia]
b:1215 [in gaia_hydras.nfwfgaia]
b:1219 [in gaia_hydras.nfwfgaia]
B:122 [in hydras.rpo.more_list]
b:122 [in hydras.Epsilon0.Hessenberg]
b:1227 [in gaia_hydras.nfwfgaia]
b:1228 [in hydras.Ackermann.codeSubFormula]
b:1231 [in hydras.Ackermann.codeSubFormula]
b:1232 [in gaia_hydras.nfwfgaia]
b:1234 [in gaia_hydras.nfwfgaia]
b:1236 [in gaia_hydras.nfwfgaia]
b:124 [in hydras.Gamma0.T2]
b:1241 [in gaia_hydras.nfwfgaia]
b:1247 [in hydras.Ackermann.codeSubFormula]
b:1249 [in gaia_hydras.nfwfgaia]
B:125 [in Goedel.PRrepresentable]
b:125 [in hydras.Ackermann.folProp]
B:125 [in hydras.OrdinalNotations.ON_Generic]
B:125 [in hydras.Hydra.Hydra_Definitions]
b:1250 [in hydras.Ackermann.codeSubFormula]
b:1253 [in gaia_hydras.nfwfgaia]
b:1256 [in gaia_hydras.nfwfgaia]
b:126 [in hydras.Ackermann.model]
b:126 [in hydras.Epsilon0.Hessenberg]
b:1264 [in gaia_hydras.nfwfgaia]
b:1269 [in gaia_hydras.nfwfgaia]
B:127 [in hydras.Prelude.MoreLists]
B:127 [in hydras.Hydra.Hydra_Lemmas]
b:1272 [in gaia_hydras.nfwfgaia]
b:1274 [in gaia_hydras.nfwfgaia]
b:1276 [in gaia_hydras.nfwfgaia]
b:1279 [in gaia_hydras.nfwfgaia]
b:128 [in hydras.Gamma0.T2]
b:1282 [in hydras.Ackermann.codeSubFormula]
b:1284 [in gaia_hydras.nfwfgaia]
b:1287 [in gaia_hydras.nfwfgaia]
b:1288 [in hydras.Ackermann.codeSubFormula]
b:129 [in hydras.Epsilon0.Hessenberg]
b:129 [in hydras.Ackermann.folProp]
b:129 [in hydras.Ackermann.codeSubFormula]
b:129 [in gaia_hydras.nfwfgaia]
b:1290 [in gaia_hydras.nfwfgaia]
b:1293 [in gaia_hydras.nfwfgaia]
b:1296 [in gaia_hydras.nfwfgaia]
b:13 [in gaia_hydras.T1Choice]
b:13 [in hydras.Prelude.WfVariant]
b:13 [in hydras.Ackermann.extEqualNat]
b:13 [in gaia_hydras.GPaths]
b:13 [in hydras.Schutte.PartialFun]
B:13 [in hydras.Prelude.STDPP_compat]
b:13 [in hydras.Ackermann.NN]
b:13 [in hydras.rpo.closure]
b:13 [in hydras.solutions_exercises.T1_ltNotWf]
B:13 [in hydras.rpo.rpo]
b:130 [in hydras.Ackermann.model]
b:130 [in hydras.Ackermann.codeSubFormula]
b:1300 [in gaia_hydras.nfwfgaia]
b:1304 [in hydras.Ackermann.codeSubFormula]
b:1304 [in gaia_hydras.nfwfgaia]
b:1307 [in hydras.Ackermann.codeSubFormula]
b:1308 [in gaia_hydras.nfwfgaia]
b:131 [in hydras.OrdinalNotations.ON_Generic]
b:1313 [in gaia_hydras.nfwfgaia]
b:1315 [in gaia_hydras.nfwfgaia]
b:1319 [in gaia_hydras.nfwfgaia]
b:132 [in hydras.Epsilon0.T1]
B:132 [in Goedel.PRrepresentable]
b:132 [in hydras.Gamma0.T2]
B:132 [in hydras.Prelude.MoreLists]
b:132 [in hydras.Epsilon0.Hessenberg]
b:1321 [in gaia_hydras.nfwfgaia]
b:1331 [in gaia_hydras.nfwfgaia]
b:134 [in hydras.Ackermann.model]
b:1346 [in gaia_hydras.nfwfgaia]
b:1351 [in gaia_hydras.nfwfgaia]
b:1356 [in gaia_hydras.nfwfgaia]
b:136 [in hydras.Gamma0.T2]
B:136 [in hydras.rpo.more_list]
B:136 [in hydras.Hydra.Hydra_Definitions]
b:1361 [in gaia_hydras.nfwfgaia]
b:1366 [in gaia_hydras.nfwfgaia]
b:137 [in hydras.Epsilon0.T1]
B:137 [in hydras.Prelude.MoreLists]
b:137 [in hydras.Ackermann.codeSubFormula]
b:137 [in hydras.Ackermann.primRec]
B:137 [in hydras.OrdinalNotations.ON_Generic]
b:1371 [in gaia_hydras.nfwfgaia]
b:1377 [in gaia_hydras.nfwfgaia]
b:138 [in hydras.Ackermann.model]
b:1384 [in hydras.Ackermann.codeSubFormula]
b:1387 [in hydras.Ackermann.codeSubFormula]
b:1389 [in gaia_hydras.nfwfgaia]
b:139 [in hydras.Ackermann.codeSubFormula]
b:139 [in hydras.Ackermann.primRec]
b:14 [in gaia_hydras.T1Bridge]
b:14 [in hydras.Ackermann.prLogic]
b:14 [in hydras.Hydra.BigBattle]
b:14 [in hydras.Ackermann.NNtheory]
b:14 [in hydras.solutions_exercises.isqrt]
b:140 [in hydras.Ackermann.LNT]
B:140 [in hydras.Hydra.Hydra_Definitions]
b:1402 [in hydras.Ackermann.codeSubFormula]
b:1403 [in hydras.Ackermann.codeSubFormula]
b:1408 [in gaia_hydras.nfwfgaia]
b:141 [in hydras.Gamma0.T2]
b:141 [in hydras.Ackermann.primRec]
B:141 [in hydras.Ackermann.fol]
b:1417 [in gaia_hydras.nfwfgaia]
B:142 [in hydras.Prelude.MoreLists]
b:142 [in hydras.Gamma0.Gamma0]
b:1423 [in gaia_hydras.nfwfgaia]
b:1429 [in gaia_hydras.nfwfgaia]
B:143 [in Goedel.PRrepresentable]
b:143 [in hydras.Ackermann.LNN]
b:143 [in hydras.Ackermann.LNT]
b:143 [in gaia_hydras.T1Bridge]
B:143 [in hydras.Ackermann.fol]
b:144 [in hydras.Ackermann.primRec]
b:144 [in additions.fib]
b:1442 [in gaia_hydras.nfwfgaia]
b:1444 [in gaia_hydras.nfwfgaia]
b:1446 [in gaia_hydras.nfwfgaia]
b:1448 [in gaia_hydras.nfwfgaia]
b:145 [in hydras.Gamma0.T2]
B:145 [in hydras.rpo.more_list]
b:145 [in gaia_hydras.T1Bridge]
B:145 [in hydras.Ackermann.fol]
b:1450 [in gaia_hydras.nfwfgaia]
b:1459 [in gaia_hydras.nfwfgaia]
b:146 [in hydras.Ackermann.LNN]
b:1462 [in gaia_hydras.nfwfgaia]
b:1464 [in gaia_hydras.nfwfgaia]
b:1466 [in gaia_hydras.nfwfgaia]
b:1469 [in gaia_hydras.nfwfgaia]
b:147 [in hydras.Gamma0.T2]
b:147 [in hydras.Ackermann.LNT]
b:147 [in hydras.Ackermann.primRec]
B:147 [in hydras.Hydra.Hydra_Definitions]
b:1471 [in gaia_hydras.nfwfgaia]
b:149 [in additions.fib]
b:1493 [in gaia_hydras.nfwfgaia]
b:15 [in hydras.solutions_exercises.MinPR2]
b:15 [in hydras.Prelude.WfVariant]
b:15 [in hydras.Ackermann.extEqualNat]
b:15 [in hydras.solutions_exercises.MultisetWf]
B:15 [in hydras.OrdinalNotations.ON_Generic]
b:15 [in hydras.Ackermann.folLogic3]
b:15 [in hydras.solutions_exercises.T1_ltNotWf]
b:15 [in hydras.MoreAck.PrimRecExamples]
b:15 [in hydras.Prelude.Simple_LexProd]
b:150 [in hydras.rpo.more_list]
b:150 [in hydras.Ackermann.LNN]
b:150 [in hydras.Ackermann.primRec]
B:150 [in hydras.Ackermann.fol]
B:150 [in hydras.OrdinalNotations.ON_Generic]
b:1503 [in gaia_hydras.nfwfgaia]
b:1508 [in gaia_hydras.nfwfgaia]
B:151 [in hydras.Schutte.Ordering_Functions]
b:152 [in hydras.Ackermann.LNT]
b:1520 [in gaia_hydras.nfwfgaia]
b:1523 [in gaia_hydras.nfwfgaia]
b:1526 [in gaia_hydras.nfwfgaia]
b:153 [in gaia_hydras.nfwfgaia]
b:1532 [in gaia_hydras.nfwfgaia]
b:1537 [in gaia_hydras.nfwfgaia]
B:154 [in Goedel.PRrepresentable]
b:154 [in hydras.Ackermann.primRec]
b:154 [in hydras.Ackermann.fol]
b:154 [in hydras.Ackermann.codePA]
b:1541 [in gaia_hydras.nfwfgaia]
b:1544 [in gaia_hydras.nfwfgaia]
B:155 [in hydras.rpo.more_list]
b:155 [in hydras.Ackermann.LNN]
b:155 [in gaia_hydras.nfwfgaia]
b:1552 [in gaia_hydras.nfwfgaia]
b:1559 [in gaia_hydras.nfwfgaia]
b:156 [in hydras.Ackermann.fol]
b:1562 [in gaia_hydras.nfwfgaia]
b:1565 [in gaia_hydras.nfwfgaia]
b:1569 [in gaia_hydras.nfwfgaia]
b:157 [in hydras.Ackermann.LNT]
b:157 [in gaia_hydras.nfwfgaia]
b:157 [in hydras.Ackermann.codePA]
B:157 [in hydras.Hydra.Hydra_Definitions]
b:1575 [in gaia_hydras.nfwfgaia]
b:1579 [in gaia_hydras.nfwfgaia]
b:158 [in hydras.Ackermann.primRec]
b:1588 [in gaia_hydras.nfwfgaia]
b:159 [in hydras.Ackermann.fol]
b:159 [in gaia_hydras.nfwfgaia]
b:1593 [in gaia_hydras.nfwfgaia]
b:1596 [in gaia_hydras.nfwfgaia]
b:1599 [in gaia_hydras.nfwfgaia]
B:16 [in hydras.Prelude.DecPreOrder_Instances]
B:16 [in hydras.rpo.more_list]
b:16 [in hydras.Prelude.MoreDecidable]
b:16 [in hydras.rpo.dickson]
b:16 [in hydras.Schutte.Ordering_Functions]
B:16 [in hydras.MoreAck.FolExamples]
b:16 [in gaia_hydras.GHessenberg]
b:160 [in hydras.Ackermann.LNN]
b:1602 [in gaia_hydras.nfwfgaia]
b:161 [in gaia_hydras.nfwfgaia]
b:1613 [in gaia_hydras.nfwfgaia]
b:162 [in hydras.Ackermann.primRec]
b:1622 [in gaia_hydras.nfwfgaia]
b:163 [in hydras.Ackermann.LNN]
B:163 [in hydras.OrdinalNotations.ON_Generic]
b:1630 [in gaia_hydras.nfwfgaia]
b:1636 [in gaia_hydras.nfwfgaia]
B:164 [in hydras.rpo.more_list]
B:164 [in hydras.Hydra.Hydra_Definitions]
b:165 [in hydras.Ackermann.fol]
b:1651 [in gaia_hydras.nfwfgaia]
b:166 [in hydras.Epsilon0.T1]
b:166 [in hydras.Gamma0.Gamma0]
b:1661 [in gaia_hydras.nfwfgaia]
b:167 [in hydras.Ackermann.cPair]
b:1672 [in gaia_hydras.nfwfgaia]
b:1675 [in gaia_hydras.nfwfgaia]
b:168 [in hydras.Ackermann.primRec]
b:168 [in hydras.Ackermann.fol]
b:168 [in hydras.rpo.rpo]
b:169 [in hydras.Epsilon0.T1]
b:169 [in gaia_hydras.T1Bridge]
b:17 [in hydras.solutions_exercises.MinPR2]
b:17 [in additions.Fib2]
b:17 [in hydras.Prelude.Comparable]
b:17 [in hydras.Prelude.Sort_spec]
b:17 [in hydras.Epsilon0.Hessenberg]
b:17 [in hydras.Hydra.BigBattle]
B:17 [in hydras.Ackermann.fol]
b:17 [in Goedel.rosser]
b:170 [in hydras.Ackermann.primRec]
b:170 [in hydras.OrdinalNotations.ON_Generic]
b:170 [in hydras.Gamma0.Gamma0]
B:171 [in hydras.rpo.more_list]
b:171 [in hydras.Ackermann.model]
b:171 [in hydras.Ackermann.fol]
b:172 [in hydras.Epsilon0.T1]
B:172 [in hydras.Epsilon0.Large_Sets]
b:172 [in hydras.Ackermann.primRec]
b:172 [in gaia_hydras.nfwfgaia]
b:173 [in hydras.Ackermann.model]
b:173 [in hydras.Prelude.Merge_Sort]
b:1737 [in gaia_hydras.nfwfgaia]
b:1739 [in gaia_hydras.nfwfgaia]
b:174 [in hydras.Ackermann.folProp]
B:174 [in hydras.Schutte.Ordering_Functions]
b:1741 [in gaia_hydras.nfwfgaia]
b:1743 [in gaia_hydras.nfwfgaia]
b:1746 [in gaia_hydras.nfwfgaia]
b:175 [in hydras.Ackermann.cPair]
B:175 [in hydras.OrdinalNotations.ON_Generic]
b:1750 [in gaia_hydras.nfwfgaia]
b:1753 [in gaia_hydras.nfwfgaia]
b:176 [in hydras.Ackermann.model]
b:176 [in hydras.Ackermann.primRec]
b:1769 [in gaia_hydras.nfwfgaia]
b:177 [in hydras.rpo.more_list]
b:177 [in hydras.Ackermann.cPair]
B:177 [in hydras.Schutte.Ordering_Functions]
b:177 [in gaia_hydras.nfwfgaia]
b:1772 [in gaia_hydras.nfwfgaia]
b:1774 [in gaia_hydras.nfwfgaia]
b:178 [in hydras.Ackermann.primRec]
b:178 [in hydras.Ackermann.fol]
b:178 [in gaia_hydras.nfwfgaia]
B:179 [in hydras.rpo.more_list]
b:179 [in hydras.Ackermann.cPair]
b:1792 [in gaia_hydras.nfwfgaia]
b:1797 [in gaia_hydras.nfwfgaia]
b:1799 [in gaia_hydras.nfwfgaia]
b:18 [in gaia_hydras.GPaths]
b:18 [in hydras.OrdinalNotations.OmegaOmega]
b:18 [in hydras.Ackermann.codePA]
B:18 [in hydras.rpo.rpo]
b:180 [in hydras.Epsilon0.T1]
b:180 [in hydras.Ackermann.model]
b:180 [in hydras.Ackermann.primRec]
B:180 [in hydras.Schutte.Ordering_Functions]
b:1803 [in gaia_hydras.nfwfgaia]
b:1805 [in gaia_hydras.nfwfgaia]
b:1807 [in gaia_hydras.nfwfgaia]
b:1809 [in gaia_hydras.nfwfgaia]
b:181 [in hydras.Ackermann.folProp]
b:181 [in hydras.Ackermann.cPair]
b:181 [in gaia_hydras.nfwfgaia]
b:1811 [in gaia_hydras.nfwfgaia]
b:1814 [in gaia_hydras.nfwfgaia]
b:1816 [in gaia_hydras.nfwfgaia]
B:182 [in hydras.Schutte.Ordering_Functions]
b:183 [in hydras.Epsilon0.T1]
b:183 [in hydras.Ackermann.model]
B:183 [in additions.Addition_Chains]
b:183 [in gaia_hydras.nfwfgaia]
b:1836 [in gaia_hydras.nfwfgaia]
b:1838 [in gaia_hydras.nfwfgaia]
b:184 [in hydras.Epsilon0.T1]
b:184 [in hydras.Ackermann.primRec]
b:184 [in hydras.Ackermann.fol]
b:1840 [in gaia_hydras.nfwfgaia]
b:1842 [in gaia_hydras.nfwfgaia]
b:1844 [in gaia_hydras.nfwfgaia]
b:1857 [in gaia_hydras.nfwfgaia]
b:186 [in additions.Addition_Chains]
b:186 [in hydras.Schutte.Ordering_Functions]
b:1866 [in gaia_hydras.nfwfgaia]
B:187 [in hydras.rpo.more_list]
b:187 [in hydras.Ackermann.model]
b:187 [in hydras.Ackermann.primRec]
b:1870 [in gaia_hydras.nfwfgaia]
b:1878 [in gaia_hydras.nfwfgaia]
b:188 [in hydras.Epsilon0.T1]
B:188 [in hydras.OrdinalNotations.ON_Generic]
b:188 [in hydras.rpo.rpo]
b:1887 [in gaia_hydras.nfwfgaia]
b:19 [in hydras.Prelude.Comparable]
B:19 [in hydras.Ackermann.fol]
b:19 [in hydras.Schutte.PartialFun]
B:19 [in gaia_hydras.GLarge_Sets]
B:19 [in hydras.OrdinalNotations.ON_Generic]
B:19 [in hydras.Schutte.Ordering_Functions]
b:190 [in hydras.Ackermann.folProp]
b:190 [in hydras.Ackermann.primRec]
b:190 [in hydras.Ackermann.fol]
b:190 [in hydras.rpo.rpo]
b:193 [in hydras.Ackermann.model]
b:195 [in hydras.Ackermann.model]
b:195 [in hydras.Ackermann.primRec]
b:197 [in hydras.Ackermann.model]
b:197 [in hydras.Ackermann.folProp]
b:198 [in hydras.Ackermann.primRec]
b:199 [in hydras.Epsilon0.T1]
b:199 [in hydras.Ackermann.model]
B:2 [in hydras.Prelude.DecPreOrder_Instances]
B:2 [in hydras.rpo.more_list]
b:2 [in hydras.Ackermann.prLogic]
b:2 [in hydras.solutions_exercises.MinPR]
b:2 [in hydras.Ackermann.NNtheory]
b:2 [in hydras.solutions_exercises.isqrt]
b:2 [in hydras.Gamma0.Gamma0]
B:2 [in hydras.rpo.rpo]
b:20 [in hydras.Ackermann.cPair]
b:20 [in hydras.Schutte.PartialFun]
B:20 [in Goedel.rosser]
b:20 [in gaia_hydras.GHessenberg]
b:2007 [in gaia_hydras.nfwfgaia]
b:201 [in hydras.Ackermann.primRec]
B:202 [in hydras.rpo.more_list]
b:202 [in hydras.Ackermann.model]
B:202 [in hydras.OrdinalNotations.ON_Generic]
b:2022 [in gaia_hydras.nfwfgaia]
b:2026 [in gaia_hydras.nfwfgaia]
b:2031 [in gaia_hydras.nfwfgaia]
b:2038 [in gaia_hydras.nfwfgaia]
b:2048 [in gaia_hydras.nfwfgaia]
b:2051 [in gaia_hydras.nfwfgaia]
b:2054 [in gaia_hydras.nfwfgaia]
b:2059 [in gaia_hydras.nfwfgaia]
b:206 [in hydras.Ackermann.model]
b:206 [in hydras.Ackermann.folProp]
b:206 [in hydras.Ackermann.primRec]
b:206 [in gaia_hydras.nfwfgaia]
b:2062 [in gaia_hydras.nfwfgaia]
b:2071 [in gaia_hydras.nfwfgaia]
b:2074 [in gaia_hydras.nfwfgaia]
b:209 [in hydras.Ackermann.model]
b:209 [in hydras.Ackermann.primRec]
b:209 [in gaia_hydras.nfwfgaia]
B:21 [in hydras.rpo.more_list]
b:21 [in hydras.Prelude.Comparable]
b:21 [in gaia_hydras.GCanon]
b:21 [in hydras.Hydra.BigBattle]
B:21 [in hydras.Ackermann.fol]
b:21 [in additions.Monoid_instances]
b:21 [in hydras.Schutte.PartialFun]
b:21 [in hydras.Schutte.Well_Orders]
B:21 [in hydras.Schutte.Ordering_Functions]
b:21 [in hydras.Ackermann.codePA]
b:210 [in hydras.OrdinalNotations.ON_Generic]
B:211 [in hydras.rpo.more_list]
b:212 [in hydras.Ackermann.primRec]
b:212 [in hydras.OrdinalNotations.ON_Generic]
b:212 [in gaia_hydras.nfwfgaia]
b:213 [in hydras.Epsilon0.T1]
b:213 [in hydras.Ackermann.model]
b:213 [in hydras.Ackermann.folProp]
b:214 [in hydras.Ackermann.fol]
b:214 [in hydras.OrdinalNotations.ON_Generic]
b:215 [in hydras.Epsilon0.T1]
b:215 [in gaia_hydras.nfwfgaia]
b:216 [in hydras.Gamma0.Gamma0]
b:217 [in hydras.Epsilon0.T1]
b:217 [in hydras.Ackermann.primRec]
b:217 [in hydras.Ackermann.fol]
b:218 [in hydras.Gamma0.Gamma0]
b:219 [in hydras.rpo.more_list]
b:219 [in hydras.Ackermann.model]
b:219 [in hydras.Ackermann.fol]
b:22 [in additions.Fib2]
b:22 [in gaia_hydras.GPaths]
b:22 [in hydras.Ackermann.cPair]
b:22 [in gaia_hydras.GHydra]
b:22 [in hydras.Prelude.MoreDecidable]
b:22 [in hydras.Ackermann.NN]
b:22 [in gaia_hydras.GHessenberg]
b:220 [in hydras.Ackermann.primRec]
b:220 [in gaia_hydras.nfwfgaia]
b:221 [in hydras.Epsilon0.T1]
B:221 [in hydras.rpo.more_list]
b:221 [in hydras.Ackermann.model]
b:222 [in hydras.Ackermann.folProp]
b:222 [in hydras.Ackermann.cPair]
b:223 [in hydras.Ackermann.primRec]
b:223 [in hydras.Ackermann.codeList]
b:223 [in gaia_hydras.nfwfgaia]
b:224 [in hydras.Ackermann.codeList]
b:224 [in hydras.Gamma0.Gamma0]
b:226 [in hydras.Ackermann.primRec]
b:226 [in hydras.Ackermann.cPair]
b:227 [in hydras.Epsilon0.T1]
b:228 [in hydras.Gamma0.Gamma0]
b:229 [in hydras.rpo.more_list]
b:229 [in hydras.Ackermann.folProp]
b:229 [in hydras.Ackermann.primRec]
b:229 [in gaia_hydras.nfwfgaia]
B:23 [in hydras.Ackermann.folProof]
b:23 [in hydras.Prelude.Comparable]
b:23 [in hydras.Epsilon0.Hessenberg]
b:23 [in hydras.OrdinalNotations.OmegaOmega]
B:23 [in hydras.Schutte.Ordering_Functions]
B:23 [in Goedel.rosser]
B:23 [in hydras.Ackermann.expressible]
b:23 [in hydras.Prelude.MoreVectors]
b:230 [in hydras.rpo.more_list]
b:230 [in hydras.Ackermann.cPair]
b:232 [in hydras.Epsilon0.T1]
b:232 [in hydras.Gamma0.Gamma0]
b:233 [in hydras.rpo.more_list]
b:233 [in hydras.Ackermann.primRec]
B:234 [in hydras.Ackermann.checkPrf]
b:234 [in hydras.Ackermann.cPair]
b:234 [in gaia_hydras.nfwfgaia]
b:235 [in hydras.Ackermann.cPair]
b:236 [in hydras.Epsilon0.T1]
b:236 [in hydras.rpo.more_list]
b:236 [in hydras.Ackermann.primRec]
b:236 [in gaia_hydras.nfwfgaia]
b:236 [in hydras.rpo.rpo]
b:237 [in hydras.rpo.more_list]
b:237 [in hydras.Ackermann.cPair]
b:237 [in hydras.Ackermann.fol]
b:239 [in hydras.Epsilon0.T1]
B:239 [in hydras.rpo.more_list]
b:239 [in hydras.Ackermann.primRec]
b:239 [in gaia_hydras.nfwfgaia]
B:24 [in Goedel.fixPoint]
b:24 [in hydras.Prelude.DecPreOrder]
b:24 [in hydras.Ackermann.cPair]
b:24 [in hydras.Schutte.Well_Orders]
b:24 [in hydras.Gamma0.Gamma0]
b:24 [in hydras.rpo.closure]
b:24 [in gaia_hydras.GHessenberg]
b:242 [in hydras.Ackermann.primRec]
b:245 [in hydras.Ackermann.primRec]
b:245 [in hydras.rpo.rpo]
b:246 [in hydras.Epsilon0.T1]
b:247 [in hydras.Ackermann.cPair]
B:248 [in hydras.rpo.more_list]
b:248 [in hydras.rpo.rpo]
b:249 [in hydras.Ackermann.primRec]
b:249 [in hydras.rpo.rpo]
b:25 [in hydras.Schutte.Correctness_E0]
b:25 [in hydras.Prelude.More_Arith]
b:25 [in hydras.Epsilon0.F_omega]
b:25 [in hydras.OrdinalNotations.OmegaOmega]
B:25 [in hydras.Ackermann.fol]
b:25 [in hydras.Schutte.PartialFun]
B:25 [in hydras.Schutte.Ordering_Functions]
b:25 [in gaia_hydras.nfwfgaia]
b:250 [in hydras.Epsilon0.T1]
b:252 [in hydras.Ackermann.primRec]
b:252 [in hydras.Ackermann.cPair]
b:253 [in hydras.Ackermann.folProp]
b:253 [in hydras.Ackermann.cPair]
b:253 [in hydras.rpo.rpo]
b:254 [in hydras.rpo.rpo]
b:255 [in hydras.Epsilon0.T1]
b:255 [in hydras.Ackermann.primRec]
b:256 [in hydras.rpo.more_list]
b:257 [in hydras.rpo.more_list]
b:258 [in hydras.rpo.more_list]
b:258 [in hydras.Ackermann.primRec]
b:259 [in hydras.Epsilon0.T1]
B:26 [in hydras.rpo.more_list]
b:26 [in gaia_hydras.GPaths]
b:26 [in hydras.rpo.closure]
B:260 [in hydras.rpo.more_list]
b:260 [in hydras.Ackermann.folProp]
b:260 [in hydras.Ackermann.cPair]
b:261 [in hydras.Ackermann.primRec]
b:261 [in hydras.rpo.rpo]
b:262 [in hydras.Epsilon0.T1]
B:262 [in Goedel.PRrepresentable]
b:262 [in gaia_hydras.nfwfgaia]
b:263 [in hydras.Ackermann.cPair]
b:265 [in hydras.Epsilon0.T1]
b:265 [in hydras.Ackermann.primRec]
b:265 [in gaia_hydras.nfwfgaia]
B:266 [in Goedel.PRrepresentable]
B:266 [in hydras.Ackermann.checkPrf]
b:267 [in hydras.Epsilon0.T1]
b:267 [in gaia_hydras.nfwfgaia]
b:268 [in hydras.rpo.more_list]
b:269 [in hydras.rpo.more_list]
b:269 [in hydras.Ackermann.folProp]
b:269 [in hydras.Ackermann.primRec]
b:269 [in hydras.Ackermann.fol]
b:269 [in gaia_hydras.nfwfgaia]
B:27 [in hydras.Prelude.DecPreOrder_Instances]
b:27 [in hydras.Prelude.Comparable]
b:27 [in hydras.OrdinalNotations.OmegaOmega]
b:27 [in hydras.Ackermann.PA]
b:27 [in hydras.Schutte.PartialFun]
b:27 [in gaia_hydras.GHessenberg]
b:27 [in hydras.MoreAck.PrimRecExamples]
B:27 [in hydras.Ackermann.expressible]
b:270 [in Goedel.PRrepresentable]
b:270 [in hydras.rpo.more_list]
b:271 [in hydras.Epsilon0.T1]
b:271 [in Goedel.PRrepresentable]
b:273 [in hydras.Epsilon0.T1]
B:273 [in Goedel.PRrepresentable]
b:273 [in hydras.Ackermann.primRec]
b:273 [in hydras.Ackermann.fol]
b:273 [in hydras.Gamma0.Gamma0]
b:273 [in gaia_hydras.nfwfgaia]
b:274 [in gaia_hydras.nfwfgaia]
b:275 [in hydras.Epsilon0.T1]
b:276 [in hydras.Ackermann.folProp]
b:276 [in hydras.Ackermann.fol]
b:277 [in hydras.Epsilon0.T1]
b:277 [in hydras.Ackermann.primRec]
B:28 [in hydras.Ackermann.folProof]
b:28 [in hydras.Prelude.More_Arith]
b:28 [in hydras.Ackermann.extEqualNat]
b:28 [in hydras.rpo.more_list]
B:28 [in Goedel.fixPoint]
b:28 [in hydras.solutions_exercises.MultisetWf]
b:28 [in Goedel.rosserPA]
b:281 [in hydras.Ackermann.primRec]
b:281 [in hydras.Ackermann.fol]
b:284 [in hydras.Epsilon0.T1]
b:284 [in hydras.Ackermann.fol]
b:284 [in hydras.Gamma0.Gamma0]
B:286 [in Goedel.PRrepresentable]
b:286 [in hydras.Ackermann.primRec]
b:288 [in hydras.Gamma0.Gamma0]
b:29 [in hydras.Epsilon0.Epsilon0rpo]
b:29 [in hydras.Epsilon0.Hessenberg]
b:29 [in hydras.Prelude.DecPreOrder]
b:29 [in hydras.OrdinalNotations.OmegaOmega]
b:29 [in hydras.Schutte.PartialFun]
B:29 [in hydras.Schutte.Ordering_Functions]
b:29 [in gaia_hydras.GHessenberg]
b:290 [in hydras.Ackermann.primRec]
b:290 [in additions.Euclidean_Chains]
B:292 [in Goedel.PRrepresentable]
b:292 [in hydras.Gamma0.Gamma0]
b:293 [in gaia_hydras.nfwfgaia]
b:294 [in hydras.Ackermann.primRec]
b:295 [in additions.Euclidean_Chains]
b:296 [in hydras.Gamma0.Gamma0]
b:299 [in hydras.Ackermann.primRec]
b:3 [in gaia_hydras.GPaths]
b:3 [in hydras.Ackermann.ListExt]
B:30 [in hydras.Ackermann.folProof]
b:30 [in hydras.Schutte.Correctness_E0]
b:30 [in hydras.Ackermann.codeSubTerm]
b:30 [in hydras.Prelude.Comparable]
b:30 [in hydras.Hydra.BigBattle]
b:30 [in hydras.Gamma0.Gamma0]
b:30 [in hydras.MoreAck.PrimRecExamples]
b:300 [in Goedel.PRrepresentable]
b:303 [in hydras.Ackermann.primRec]
b:307 [in Goedel.PRrepresentable]
b:307 [in hydras.Ackermann.primRec]
b:307 [in hydras.Gamma0.Gamma0]
b:31 [in hydras.Ackermann.extEqualNat]
b:31 [in hydras.Ackermann.codeSubTerm]
b:31 [in hydras.OrdinalNotations.OmegaOmega]
B:31 [in Goedel.rosserPA]
b:31 [in hydras.Schutte.PartialFun]
b:31 [in hydras.Ackermann.NN]
b:31 [in gaia_hydras.GHessenberg]
b:311 [in hydras.Epsilon0.T1]
b:311 [in Goedel.PRrepresentable]
b:311 [in hydras.Ackermann.primRec]
b:315 [in hydras.Ackermann.primRec]
b:319 [in Goedel.PRrepresentable]
B:319 [in hydras.Ackermann.checkPrf]
b:319 [in hydras.Ackermann.primRec]
b:319 [in hydras.Ackermann.fol]
b:32 [in hydras.Epsilon0.T1]
b:32 [in hydras.Ackermann.codeSubTerm]
B:32 [in hydras.rpo.more_list]
b:32 [in hydras.Ackermann.folLogic3]
b:323 [in hydras.Ackermann.primRec]
b:323 [in hydras.Ackermann.fol]
b:326 [in hydras.Ackermann.fol]
B:328 [in Goedel.PRrepresentable]
b:328 [in hydras.Ackermann.primRec]
B:33 [in hydras.Ackermann.folProof]
b:33 [in hydras.Ackermann.codeSubTerm]
b:33 [in hydras.Prelude.Comparable]
b:33 [in hydras.OrdinalNotations.OmegaOmega]
B:33 [in hydras.OrdinalNotations.ON_Generic]
B:33 [in hydras.Schutte.Ordering_Functions]
b:331 [in hydras.Ackermann.fol]
b:332 [in hydras.Ackermann.primRec]
B:333 [in Goedel.PRrepresentable]
b:336 [in hydras.Ackermann.primRec]
B:338 [in Goedel.PRrepresentable]
b:339 [in hydras.Ackermann.cPair]
b:34 [in hydras.Prelude.More_Arith]
b:34 [in hydras.Ackermann.codeSubTerm]
b:34 [in hydras.Epsilon0.Hessenberg]
B:34 [in Goedel.rosserPA]
b:34 [in hydras.Ackermann.cPair]
b:34 [in gaia_hydras.GHessenberg]
b:340 [in hydras.Ackermann.primRec]
b:341 [in hydras.Ackermann.cPair]
B:342 [in hydras.Ackermann.subAll]
b:344 [in hydras.Ackermann.primRec]
B:347 [in hydras.Ackermann.subAll]
b:347 [in hydras.Ackermann.cPair]
b:348 [in hydras.Epsilon0.T1]
b:35 [in hydras.Ackermann.codeSubTerm]
b:35 [in gaia_hydras.GCanon]
b:35 [in hydras.OrdinalNotations.OmegaOmega]
b:35 [in hydras.Schutte.PartialFun]
b:35 [in hydras.Schutte.Well_Orders]
b:35 [in hydras.Prelude.MoreVectors]
b:350 [in hydras.Ackermann.cPair]
b:352 [in Goedel.PRrepresentable]
B:352 [in hydras.Ackermann.subAll]
b:353 [in hydras.Ackermann.cPair]
b:354 [in gaia_hydras.nfwfgaia]
b:356 [in Goedel.PRrepresentable]
b:356 [in hydras.Ackermann.cPair]
b:356 [in gaia_hydras.nfwfgaia]
b:357 [in hydras.Epsilon0.T1]
b:358 [in hydras.Ackermann.cPair]
b:358 [in gaia_hydras.nfwfgaia]
b:36 [in additions.Compatibility]
b:36 [in hydras.Prelude.Comparable]
b:36 [in hydras.Ackermann.folProp]
b:36 [in hydras.Ackermann.PA]
b:36 [in hydras.Schutte.Schutte_basics]
B:36 [in hydras.MoreAck.FolExamples]
b:360 [in Goedel.PRrepresentable]
b:360 [in hydras.Ackermann.cPair]
b:360 [in gaia_hydras.nfwfgaia]
b:362 [in hydras.Epsilon0.T1]
b:363 [in hydras.Ackermann.cPair]
b:364 [in Goedel.PRrepresentable]
b:364 [in gaia_hydras.nfwfgaia]
b:365 [in hydras.Ackermann.fol]
b:366 [in hydras.Ackermann.cPair]
b:369 [in hydras.Ackermann.cPair]
b:369 [in hydras.Ackermann.fol]
b:37 [in gaia_hydras.GPaths]
b:37 [in hydras.Hydra.BigBattle]
b:37 [in gaia_hydras.GHessenberg]
b:372 [in hydras.Ackermann.fol]
b:376 [in hydras.Epsilon0.T1]
b:38 [in hydras.OrdinalNotations.OmegaOmega]
b:38 [in hydras.Ackermann.cPair]
b:38 [in hydras.Ackermann.wellFormed]
b:38 [in gaia_hydras.onType]
b:38 [in hydras.Schutte.Well_Orders]
b:383 [in hydras.Epsilon0.T1]
b:386 [in Goedel.PRrepresentable]
b:387 [in hydras.Epsilon0.T1]
b:39 [in hydras.Prelude.Comparable]
b:39 [in hydras.Ackermann.NN]
b:39 [in hydras.Schutte.Ordering_Functions]
b:390 [in Goedel.PRrepresentable]
b:392 [in hydras.Epsilon0.T1]
b:394 [in Goedel.PRrepresentable]
b:394 [in hydras.Ackermann.checkPrf]
b:395 [in gaia_hydras.nfwfgaia]
b:397 [in gaia_hydras.nfwfgaia]
b:398 [in Goedel.PRrepresentable]
b:398 [in hydras.Ackermann.checkPrf]
b:4 [in hydras.solutions_exercises.MinPR2]
b:4 [in hydras.Ackermann.folLogic2]
b:4 [in hydras.Ackermann.prLogic]
b:4 [in hydras.Ackermann.NNtheory]
b:4 [in hydras.Schutte.Well_Orders]
b:4 [in hydras.Ackermann.NN]
b:4 [in hydras.solutions_exercises.isqrt]
B:40 [in hydras.Ackermann.folProof]
b:40 [in hydras.Epsilon0.Hessenberg]
b:40 [in hydras.Ackermann.cPair]
b:40 [in hydras.Ackermann.wellFormed]
b:40 [in gaia_hydras.onType]
b:40 [in hydras.Schutte.Ordering_Functions]
b:400 [in gaia_hydras.nfwfgaia]
b:401 [in Goedel.PRrepresentable]
b:403 [in Goedel.PRrepresentable]
b:404 [in hydras.Epsilon0.T1]
b:406 [in Goedel.PRrepresentable]
b:409 [in hydras.Ackermann.fol]
b:409 [in gaia_hydras.nfwfgaia]
b:41 [in hydras.Epsilon0.Epsilon0rpo]
b:41 [in hydras.Prelude.Comparable]
b:41 [in hydras.Schutte.PartialFun]
b:410 [in Goedel.PRrepresentable]
b:412 [in gaia_hydras.nfwfgaia]
b:413 [in hydras.Ackermann.fol]
b:414 [in Goedel.PRrepresentable]
b:416 [in hydras.Ackermann.fol]
b:416 [in gaia_hydras.nfwfgaia]
b:417 [in hydras.Epsilon0.T1]
b:418 [in Goedel.PRrepresentable]
b:418 [in hydras.Ackermann.primRec]
b:42 [in hydras.Ackermann.cPair]
b:42 [in hydras.Schutte.Schutte_basics]
b:42 [in hydras.Schutte.Well_Orders]
b:420 [in hydras.Ackermann.primRec]
b:421 [in Goedel.PRrepresentable]
b:422 [in hydras.Ackermann.primRec]
b:424 [in hydras.Ackermann.primRec]
b:424 [in hydras.Ackermann.fol]
b:424 [in gaia_hydras.nfwfgaia]
b:425 [in Goedel.PRrepresentable]
b:427 [in hydras.Epsilon0.T1]
b:428 [in gaia_hydras.nfwfgaia]
b:429 [in hydras.Ackermann.fol]
b:43 [in hydras.Prelude.DecPreOrder]
b:43 [in additions.More_on_positive]
B:43 [in hydras.Schutte.Schutte_basics]
b:430 [in hydras.Gamma0.Gamma0]
b:432 [in hydras.Ackermann.fol]
b:433 [in hydras.Epsilon0.T1]
b:433 [in hydras.Ackermann.primRec]
b:433 [in gaia_hydras.nfwfgaia]
b:434 [in hydras.Ackermann.fol]
b:436 [in gaia_hydras.nfwfgaia]
b:438 [in hydras.Epsilon0.T1]
b:438 [in gaia_hydras.nfwfgaia]
b:44 [in hydras.Epsilon0.T1]
b:44 [in hydras.Epsilon0.Epsilon0rpo]
b:44 [in hydras.rpo.more_list]
b:44 [in gaia_hydras.T1Bridge]
b:44 [in hydras.rpo.dickson]
b:440 [in hydras.Ackermann.primRec]
b:442 [in gaia_hydras.nfwfgaia]
b:443 [in hydras.Epsilon0.T1]
b:444 [in gaia_hydras.nfwfgaia]
b:445 [in hydras.Ackermann.fol]
b:446 [in hydras.Ackermann.checkPrf]
b:446 [in gaia_hydras.nfwfgaia]
b:447 [in hydras.Epsilon0.T1]
b:447 [in hydras.Ackermann.primRec]
b:448 [in gaia_hydras.nfwfgaia]
b:449 [in hydras.Epsilon0.T1]
b:449 [in hydras.Ackermann.primRec]
b:45 [in Goedel.PRrepresentable]
b:45 [in hydras.Prelude.DecPreOrder_Instances]
b:45 [in hydras.Prelude.Comparable]
b:45 [in hydras.Epsilon0.Hessenberg]
b:45 [in hydras.Ackermann.PA]
b:45 [in hydras.Prelude.MoreOrders]
b:45 [in hydras.Schutte.PartialFun]
b:450 [in hydras.Ackermann.checkPrf]
b:451 [in gaia_hydras.nfwfgaia]
b:452 [in hydras.Epsilon0.T1]
b:453 [in gaia_hydras.nfwfgaia]
B:454 [in hydras.Ackermann.checkPrf]
b:454 [in hydras.Ackermann.primRec]
b:455 [in hydras.Epsilon0.T1]
b:458 [in gaia_hydras.nfwfgaia]
b:459 [in hydras.Epsilon0.T1]
b:46 [in hydras.solutions_exercises.MultisetWf]
b:46 [in gaia_hydras.T1Bridge]
b:46 [in hydras.Ackermann.cPair]
B:46 [in hydras.Schutte.Ordering_Functions]
B:46 [in hydras.Ackermann.expressible]
b:460 [in hydras.Ackermann.primRec]
b:460 [in gaia_hydras.nfwfgaia]
b:462 [in hydras.Epsilon0.T1]
b:462 [in hydras.Ackermann.primRec]
b:463 [in gaia_hydras.nfwfgaia]
b:465 [in hydras.Epsilon0.T1]
b:465 [in gaia_hydras.nfwfgaia]
b:467 [in hydras.Ackermann.primRec]
b:467 [in gaia_hydras.nfwfgaia]
b:469 [in hydras.Epsilon0.T1]
b:469 [in gaia_hydras.nfwfgaia]
b:47 [in hydras.Epsilon0.T1]
b:47 [in hydras.Epsilon0.Epsilon0rpo]
b:47 [in hydras.Prelude.Comparable]
B:47 [in hydras.Prelude.Sort_spec]
b:47 [in additions.More_on_positive]
B:47 [in hydras.Schutte.Schutte_basics]
b:471 [in hydras.Epsilon0.T1]
b:474 [in gaia_hydras.nfwfgaia]
b:477 [in hydras.Epsilon0.T1]
b:479 [in hydras.Epsilon0.T1]
b:48 [in Goedel.PRrepresentable]
b:48 [in hydras.Prelude.More_Arith]
b:48 [in hydras.Ackermann.codeSubTerm]
b:48 [in hydras.Prelude.DecPreOrder]
b:481 [in hydras.Ackermann.primRec]
b:482 [in hydras.Ackermann.primRec]
b:483 [in hydras.Gamma0.Gamma0]
b:487 [in hydras.Ackermann.checkPrf]
b:487 [in hydras.Ackermann.primRec]
b:49 [in hydras.Epsilon0.T1]
b:49 [in hydras.Prelude.DecPreOrder_Instances]
b:49 [in hydras.Ackermann.codeSubTerm]
b:49 [in hydras.Prelude.Comparable]
b:49 [in hydras.Ackermann.code]
b:49 [in hydras.Hydra.BigBattle]
b:490 [in hydras.Gamma0.Gamma0]
b:491 [in hydras.Ackermann.checkPrf]
b:491 [in gaia_hydras.nfwfgaia]
b:493 [in hydras.Ackermann.primRec]
b:493 [in gaia_hydras.nfwfgaia]
b:495 [in gaia_hydras.nfwfgaia]
b:497 [in hydras.Epsilon0.T1]
b:498 [in hydras.Ackermann.primRec]
b:5 [in hydras.Prelude.Restriction]
b:5 [in hydras.Prelude.DecPreOrder]
b:5 [in hydras.Ackermann.cPair]
B:5 [in hydras.OrdinalNotations.ON_mult]
B:5 [in hydras.OrdinalNotations.ON_plus]
b:50 [in hydras.Ackermann.codeSubTerm]
b:50 [in hydras.Epsilon0.Hessenberg]
b:50 [in gaia_hydras.T1Bridge]
b:50 [in hydras.Ackermann.cPair]
b:50 [in hydras.Schutte.Well_Orders]
B:50 [in hydras.Schutte.Ordering_Functions]
b:501 [in hydras.Epsilon0.T1]
b:503 [in hydras.Ackermann.checkPrf]
b:504 [in hydras.Epsilon0.T1]
b:507 [in hydras.Ackermann.checkPrf]
b:507 [in hydras.Ackermann.primRec]
b:509 [in hydras.Ackermann.primRec]
b:51 [in hydras.Epsilon0.T1]
b:51 [in hydras.Ackermann.codeSubTerm]
b:51 [in additions.More_on_positive]
b:51 [in hydras.OrdinalNotations.OmegaOmega]
B:51 [in hydras.Ackermann.code]
b:51 [in hydras.Schutte.PartialFun]
b:51 [in hydras.Ackermann.codeList]
b:51 [in hydras.rpo.dickson]
b:510 [in hydras.Epsilon0.T1]
b:511 [in hydras.Ackermann.checkPrf]
b:511 [in hydras.Ackermann.primRec]
b:513 [in hydras.Ackermann.primRec]
b:515 [in hydras.Ackermann.checkPrf]
b:515 [in hydras.Ackermann.primRec]
b:517 [in hydras.Ackermann.primRec]
b:519 [in hydras.Epsilon0.T1]
b:519 [in hydras.Ackermann.primRec]
b:519 [in hydras.Gamma0.Gamma0]
b:52 [in hydras.Prelude.More_Arith]
b:52 [in hydras.Prelude.Comparable]
B:52 [in hydras.OrdinalNotations.ON_Generic]
b:52 [in hydras.Ackermann.codeList]
b:521 [in hydras.Ackermann.primRec]
b:522 [in hydras.Epsilon0.T1]
b:523 [in hydras.Ackermann.primRec]
b:525 [in hydras.Ackermann.primRec]
b:525 [in hydras.Gamma0.Gamma0]
b:527 [in hydras.Ackermann.primRec]
b:528 [in hydras.Gamma0.Gamma0]
b:529 [in hydras.Ackermann.primRec]
b:53 [in hydras.Prelude.DecPreOrder_Instances]
b:53 [in hydras.Prelude.More_Arith]
b:53 [in hydras.Prelude.DecPreOrder]
b:53 [in hydras.solutions_exercises.MultisetWf]
b:53 [in gaia_hydras.T1Bridge]
b:53 [in hydras.Hydra.BigBattle]
b:530 [in hydras.Epsilon0.T1]
b:531 [in hydras.Ackermann.primRec]
b:531 [in hydras.Gamma0.Gamma0]
b:533 [in hydras.Epsilon0.T1]
b:533 [in hydras.Ackermann.primRec]
b:534 [in hydras.Gamma0.Gamma0]
b:54 [in additions.More_on_positive]
b:54 [in gaia_hydras.GCanon]
b:54 [in hydras.OrdinalNotations.OmegaOmega]
b:54 [in hydras.Ackermann.cPair]
B:54 [in hydras.Prelude.MoreVectors]
b:540 [in hydras.Epsilon0.T1]
b:540 [in hydras.Ackermann.primRec]
b:55 [in hydras.Ackermann.LNN2LNT]
b:55 [in hydras.Prelude.Comparable]
b:55 [in gaia_hydras.GPaths]
b:55 [in hydras.Prelude.Sort_spec]
b:55 [in hydras.Ackermann.code]
B:55 [in hydras.Schutte.Ordering_Functions]
b:552 [in hydras.Ackermann.primRec]
b:554 [in hydras.Ackermann.primRec]
b:556 [in hydras.Ackermann.primRec]
b:557 [in hydras.Epsilon0.T1]
b:558 [in hydras.Ackermann.primRec]
b:56 [in hydras.Epsilon0.Epsilon0rpo]
b:564 [in hydras.Epsilon0.T1]
b:564 [in hydras.Gamma0.Gamma0]
b:565 [in gaia_hydras.nfwfgaia]
b:566 [in hydras.Gamma0.Gamma0]
b:567 [in gaia_hydras.nfwfgaia]
b:57 [in hydras.Prelude.DecPreOrder_Instances]
b:57 [in hydras.Prelude.More_Arith]
b:57 [in hydras.Ackermann.LNN2LNT]
b:57 [in hydras.Ackermann.code]
b:57 [in hydras.Schutte.Ordering_Functions]
b:570 [in hydras.Gamma0.Gamma0]
b:572 [in hydras.Epsilon0.T1]
b:572 [in hydras.Gamma0.Gamma0]
b:576 [in hydras.Epsilon0.T1]
b:58 [in hydras.Prelude.Comparable]
b:58 [in hydras.Prelude.DecPreOrder]
b:58 [in additions.More_on_positive]
b:58 [in gaia_hydras.T1Bridge]
b:58 [in hydras.Prelude.MoreVectors]
b:580 [in hydras.Epsilon0.T1]
b:586 [in hydras.Gamma0.Gamma0]
b:587 [in hydras.Ackermann.primRec]
b:588 [in hydras.Gamma0.Gamma0]
b:589 [in hydras.Ackermann.primRec]
b:59 [in hydras.Ackermann.LNN2LNT]
b:59 [in gaia_hydras.GPaths]
b:59 [in hydras.Schutte.Schutte_basics]
b:591 [in hydras.Ackermann.primRec]
b:593 [in hydras.Ackermann.primRec]
b:593 [in hydras.Gamma0.Gamma0]
b:595 [in hydras.Ackermann.primRec]
b:597 [in hydras.Ackermann.primRec]
b:597 [in hydras.Gamma0.Gamma0]
b:599 [in hydras.Epsilon0.T1]
b:599 [in hydras.Ackermann.primRec]
b:6 [in hydras.Ackermann.folProof]
b:6 [in gaia_hydras.GPaths]
b:6 [in hydras.Prelude.Sort_spec]
b:6 [in hydras.Ackermann.prLogic]
b:6 [in hydras.Ackermann.NNtheory]
b:6 [in hydras.Ackermann.ListExt]
b:6 [in hydras.Ackermann.folLogic3]
b:6 [in hydras.Gamma0.Gamma0]
b:60 [in hydras.Prelude.Comparable]
b:60 [in hydras.Schutte.Schutte_basics]
B:60 [in hydras.Schutte.Ordering_Functions]
b:603 [in hydras.Epsilon0.T1]
b:604 [in gaia_hydras.nfwfgaia]
b:605 [in hydras.Gamma0.Gamma0]
b:61 [in hydras.Schutte.Correctness_E0]
b:61 [in hydras.Prelude.DecPreOrder_Instances]
B:61 [in hydras.Prelude.Sort_spec]
b:61 [in hydras.Hydra.BigBattle]
b:611 [in gaia_hydras.nfwfgaia]
b:615 [in gaia_hydras.nfwfgaia]
b:62 [in hydras.Prelude.Comparable]
b:62 [in hydras.Schutte.Ordering_Functions]
b:620 [in hydras.Epsilon0.T1]
b:628 [in hydras.Epsilon0.T1]
b:628 [in gaia_hydras.nfwfgaia]
b:63 [in hydras.Prelude.DecPreOrder]
b:63 [in gaia_hydras.T1Bridge]
b:63 [in hydras.Ackermann.cPair]
b:63 [in hydras.Schutte.Schutte_basics]
b:630 [in gaia_hydras.nfwfgaia]
b:634 [in hydras.Gamma0.Gamma0]
b:638 [in hydras.Gamma0.Gamma0]
b:64 [in hydras.Prelude.Comparable]
b:64 [in hydras.Ackermann.cPair]
b:64 [in hydras.Hydra.BigBattle]
b:64 [in hydras.Schutte.PartialFun]
b:64 [in hydras.OrdinalNotations.ON_Generic]
b:65 [in gaia_hydras.GPaths]
b:65 [in hydras.OrdinalNotations.OmegaOmega]
b:65 [in hydras.Ackermann.code]
b:65 [in hydras.Schutte.Schutte_basics]
B:65 [in hydras.Schutte.Ordering_Functions]
B:654 [in hydras.Ackermann.checkPrf]
b:656 [in hydras.Ackermann.checkPrf]
b:658 [in hydras.Ackermann.checkPrf]
b:66 [in hydras.Epsilon0.T1]
B:66 [in Goedel.PRrepresentable]
b:66 [in hydras.Prelude.Comparable]
b:66 [in hydras.Ackermann.cPair]
B:66 [in hydras.Schutte.PartialFun]
b:660 [in hydras.Ackermann.checkPrf]
b:662 [in hydras.Ackermann.checkPrf]
b:664 [in hydras.Ackermann.checkPrf]
b:666 [in hydras.Ackermann.checkPrf]
b:668 [in hydras.Ackermann.checkPrf]
b:67 [in hydras.Ackermann.code]
b:67 [in hydras.Schutte.Schutte_basics]
B:67 [in hydras.Hydra.Hydra_Lemmas]
B:67 [in hydras.Ackermann.expressible]
b:670 [in hydras.Ackermann.checkPrf]
b:670 [in hydras.Gamma0.Gamma0]
b:672 [in hydras.Ackermann.checkPrf]
b:672 [in hydras.Gamma0.Gamma0]
b:672 [in gaia_hydras.nfwfgaia]
b:674 [in hydras.Ackermann.checkPrf]
b:676 [in hydras.Ackermann.checkPrf]
b:678 [in hydras.Ackermann.checkPrf]
b:679 [in hydras.Ackermann.primRec]
b:68 [in hydras.Prelude.Comparable]
b:68 [in hydras.Prelude.DecPreOrder]
b:68 [in gaia_hydras.T1Bridge]
b:68 [in hydras.Ackermann.cPair]
b:68 [in hydras.Hydra.BigBattle]
B:68 [in hydras.Schutte.Ordering_Functions]
b:683 [in hydras.Ackermann.primRec]
b:686 [in hydras.Ackermann.primRec]
b:688 [in hydras.Ackermann.primRec]
b:69 [in gaia_hydras.GPaths]
b:69 [in hydras.Ackermann.code]
b:69 [in hydras.Hydra.BigBattle]
b:690 [in hydras.Ackermann.primRec]
b:690 [in hydras.Gamma0.Gamma0]
b:692 [in hydras.Ackermann.primRec]
b:695 [in hydras.Ackermann.primRec]
b:696 [in gaia_hydras.nfwfgaia]
b:698 [in hydras.Ackermann.primRec]
b:698 [in gaia_hydras.nfwfgaia]
b:7 [in hydras.OrdinalNotations.ON_O]
b:7 [in hydras.solutions_exercises.MorePRExamples]
B:7 [in hydras.Schutte.Ordering_Functions]
B:70 [in Goedel.PRrepresentable]
b:70 [in hydras.Prelude.Comparable]
b:70 [in hydras.OrdinalNotations.OmegaOmega]
b:70 [in hydras.Ackermann.cPair]
b:70 [in hydras.Schutte.Schutte_basics]
b:70 [in hydras.Ackermann.folLogic3]
b:70 [in hydras.rpo.dickson]
b:70 [in hydras.Schutte.Ordering_Functions]
b:701 [in hydras.Ackermann.primRec]
b:706 [in hydras.Ackermann.primRec]
b:708 [in hydras.Epsilon0.T1]
b:71 [in hydras.Ackermann.code]
b:712 [in hydras.Ackermann.primRec]
b:715 [in hydras.Ackermann.primRec]
b:719 [in hydras.Ackermann.primRec]
b:72 [in gaia_hydras.GPaths]
b:72 [in hydras.Ackermann.cPair]
b:72 [in hydras.Ackermann.folLogic3]
B:72 [in hydras.Schutte.Ordering_Functions]
b:72 [in hydras.Prelude.MoreVectors]
b:721 [in gaia_hydras.nfwfgaia]
b:723 [in hydras.Ackermann.primRec]
b:724 [in hydras.Epsilon0.T1]
b:728 [in gaia_hydras.nfwfgaia]
b:73 [in hydras.Epsilon0.T1]
b:73 [in hydras.Prelude.Comparable]
b:73 [in hydras.Ackermann.code]
B:73 [in hydras.Schutte.PartialFun]
b:73 [in hydras.Schutte.Schutte_basics]
B:73 [in hydras.Schutte.Ordering_Functions]
b:73 [in hydras.rpo.rpo]
b:730 [in gaia_hydras.nfwfgaia]
b:731 [in hydras.Epsilon0.T1]
b:732 [in gaia_hydras.nfwfgaia]
b:734 [in gaia_hydras.nfwfgaia]
b:736 [in hydras.Epsilon0.T1]
b:738 [in gaia_hydras.nfwfgaia]
b:74 [in hydras.Epsilon0.Hessenberg]
b:74 [in hydras.Prelude.DecPreOrder]
b:74 [in gaia_hydras.T1Bridge]
b:74 [in hydras.Ackermann.cPair]
b:74 [in hydras.Schutte.Ordering_Functions]
B:74 [in hydras.Prelude.MoreVectors]
b:740 [in gaia_hydras.nfwfgaia]
b:75 [in hydras.Prelude.Comparable]
b:75 [in hydras.Ackermann.code]
b:757 [in hydras.Ackermann.checkPrf]
b:76 [in hydras.Gamma0.T2]
b:76 [in gaia_hydras.GPaths]
b:76 [in hydras.Ackermann.cPair]
b:76 [in hydras.Schutte.Schutte_basics]
b:76 [in hydras.OrdinalNotations.ON_Generic]
b:761 [in hydras.Ackermann.checkPrf]
b:761 [in gaia_hydras.nfwfgaia]
b:765 [in gaia_hydras.nfwfgaia]
b:77 [in hydras.Prelude.Comparable]
b:777 [in gaia_hydras.nfwfgaia]
b:78 [in hydras.Epsilon0.Hessenberg]
b:78 [in hydras.Ackermann.cPair]
b:78 [in hydras.Schutte.Ordering_Functions]
b:781 [in gaia_hydras.nfwfgaia]
b:785 [in gaia_hydras.nfwfgaia]
b:787 [in hydras.Ackermann.checkPrf]
b:788 [in gaia_hydras.nfwfgaia]
b:789 [in hydras.Ackermann.checkPrf]
b:79 [in hydras.Gamma0.T2]
b:79 [in hydras.Prelude.Comparable]
b:79 [in hydras.OrdinalNotations.ON_Generic]
b:791 [in hydras.Ackermann.primRec]
b:793 [in gaia_hydras.nfwfgaia]
b:794 [in hydras.Ackermann.primRec]
b:797 [in hydras.Ackermann.primRec]
b:8 [in hydras.Gamma0.T2]
b:8 [in hydras.Ackermann.folLogic2]
b:8 [in gaia_hydras.T1Bridge]
b:8 [in hydras.Ackermann.NNtheory]
b:8 [in gaia_hydras.T2Bridge]
b:8 [in hydras.MoreAck.PrimRecExamples]
b:80 [in hydras.Epsilon0.T1]
b:80 [in hydras.Prelude.DecPreOrder]
b:80 [in hydras.Ackermann.codeSubFormula]
b:80 [in gaia_hydras.T1Bridge]
b:80 [in hydras.Schutte.Schutte_basics]
b:80 [in hydras.Ackermann.folLogic3]
b:80 [in hydras.rpo.list_permut]
b:801 [in hydras.Ackermann.primRec]
b:802 [in hydras.Ackermann.primRec]
b:803 [in hydras.Ackermann.primRec]
b:807 [in hydras.Ackermann.primRec]
b:808 [in hydras.Ackermann.primRec]
b:809 [in hydras.Ackermann.primRec]
b:81 [in hydras.Prelude.Comparable]
b:81 [in gaia_hydras.GPaths]
b:812 [in hydras.Ackermann.primRec]
b:82 [in hydras.Ackermann.cPair]
b:82 [in hydras.Schutte.Schutte_basics]
b:82 [in hydras.Ackermann.folLogic3]
B:82 [in hydras.Schutte.Ordering_Functions]
b:83 [in hydras.Prelude.Comparable]
b:83 [in gaia_hydras.T1Bridge]
B:83 [in hydras.Schutte.PartialFun]
b:838 [in hydras.Ackermann.codeSubFormula]
b:84 [in hydras.Ackermann.cPair]
b:84 [in hydras.Schutte.Schutte_basics]
b:841 [in hydras.Ackermann.codeSubFormula]
b:843 [in gaia_hydras.nfwfgaia]
b:849 [in hydras.Ackermann.codeSubFormula]
b:85 [in hydras.Epsilon0.T1]
b:85 [in hydras.Prelude.Comparable]
b:85 [in gaia_hydras.T1Bridge]
B:85 [in hydras.OrdinalNotations.ON_Generic]
b:850 [in hydras.Ackermann.checkPrf]
b:852 [in hydras.Ackermann.checkPrf]
b:853 [in hydras.Ackermann.codeSubFormula]
b:853 [in gaia_hydras.nfwfgaia]
b:854 [in hydras.Ackermann.checkPrf]
b:855 [in hydras.Ackermann.codeSubFormula]
b:856 [in hydras.Ackermann.checkPrf]
b:857 [in hydras.Ackermann.codeSubFormula]
b:86 [in hydras.Ackermann.folLogic3]
b:861 [in gaia_hydras.nfwfgaia]
b:866 [in gaia_hydras.nfwfgaia]
b:869 [in hydras.Ackermann.codeSubFormula]
b:87 [in hydras.Prelude.Comparable]
b:87 [in hydras.Epsilon0.Hessenberg]
b:87 [in hydras.OrdinalNotations.OmegaOmega]
b:87 [in gaia_hydras.T1Bridge]
b:87 [in gaia_hydras.nfwfgaia]
b:872 [in hydras.Ackermann.codeSubFormula]
b:886 [in gaia_hydras.nfwfgaia]
b:89 [in hydras.Epsilon0.T1]
b:89 [in hydras.Epsilon0.Hessenberg]
B:89 [in hydras.Schutte.PartialFun]
b:89 [in hydras.Schutte.Schutte_basics]
b:89 [in hydras.MoreAck.PrimRecExamples]
b:893 [in hydras.Ackermann.codeSubFormula]
b:895 [in gaia_hydras.nfwfgaia]
b:896 [in hydras.Ackermann.codeSubFormula]
b:899 [in gaia_hydras.nfwfgaia]
B:9 [in hydras.Prelude.DecPreOrder_Instances]
b:9 [in hydras.Ackermann.extEqualNat]
b:9 [in hydras.rpo.dickson]
b:9 [in hydras.MoreAck.FolExamples]
b:90 [in hydras.Prelude.Comparable]
b:903 [in gaia_hydras.nfwfgaia]
b:909 [in hydras.Ackermann.codeSubFormula]
b:91 [in hydras.Gamma0.T2]
b:91 [in hydras.Epsilon0.Hessenberg]
b:91 [in hydras.Schutte.Schutte_basics]
b:911 [in gaia_hydras.nfwfgaia]
b:912 [in hydras.Ackermann.codeSubFormula]
b:92 [in hydras.Prelude.Comparable]
b:92 [in hydras.Prelude.DecPreOrder]
b:92 [in hydras.OrdinalNotations.ON_Generic]
b:924 [in gaia_hydras.nfwfgaia]
b:926 [in gaia_hydras.nfwfgaia]
b:928 [in gaia_hydras.nfwfgaia]
B:93 [in Goedel.PRrepresentable]
b:93 [in hydras.Epsilon0.Hessenberg]
b:93 [in hydras.Schutte.Schutte_basics]
b:930 [in gaia_hydras.nfwfgaia]
b:932 [in gaia_hydras.nfwfgaia]
b:936 [in hydras.Ackermann.codeSubFormula]
b:939 [in hydras.Ackermann.codeSubFormula]
b:939 [in gaia_hydras.nfwfgaia]
b:94 [in hydras.Prelude.Comparable]
b:94 [in hydras.Prelude.Merge_Sort]
b:94 [in gaia_hydras.T1Bridge]
b:945 [in gaia_hydras.nfwfgaia]
b:95 [in hydras.Epsilon0.Hessenberg]
b:95 [in hydras.Ackermann.folLogic3]
b:954 [in gaia_hydras.nfwfgaia]
b:957 [in gaia_hydras.nfwfgaia]
b:959 [in gaia_hydras.nfwfgaia]
b:96 [in gaia_hydras.T1Bridge]
b:961 [in gaia_hydras.nfwfgaia]
b:963 [in gaia_hydras.nfwfgaia]
b:965 [in gaia_hydras.nfwfgaia]
b:97 [in hydras.Prelude.DecPreOrder]
B:97 [in hydras.OrdinalNotations.ON_Generic]
b:98 [in hydras.Prelude.Comparable]
b:98 [in gaia_hydras.T1Bridge]
b:989 [in gaia_hydras.nfwfgaia]
b:99 [in hydras.Epsilon0.Hessenberg]
b:993 [in gaia_hydras.nfwfgaia]
b:999 [in gaia_hydras.nfwfgaia]

C

cf:11 [in hydras.Ackermann.code]
cf:14 [in hydras.Ackermann.code]
cf:17 [in hydras.Ackermann.code]
cf:2 [in hydras.Ackermann.codeFreeVar]
cf:2 [in hydras.Ackermann.codeSubTerm]
cf:2 [in hydras.Ackermann.checkPrf]
cf:2 [in hydras.Ackermann.codeSubFormula]
cf:2 [in hydras.Ackermann.wellFormed]
cf:2 [in Goedel.codeSysPrf]
cf:2 [in hydras.Ackermann.codePA]
ch:345 [in additions.Euclidean_Chains]
ch:346 [in additions.Euclidean_Chains]
ch:349 [in additions.Euclidean_Chains]
ch:350 [in additions.Euclidean_Chains]
cl:19 [in hydras.Ackermann.code]
cL:4 [in hydras.Ackermann.codeFreeVar]
cL:4 [in hydras.Ackermann.codeSubTerm]
cL:4 [in hydras.Ackermann.checkPrf]
cL:4 [in hydras.Ackermann.codeSubFormula]
cL:4 [in hydras.Ackermann.wellFormed]
cL:4 [in Goedel.codeSysPrf]
cL:4 [in hydras.Ackermann.codePA]
cmpA:3 [in hydras.OrdinalNotations.ON_mult]
cmpA:3 [in hydras.OrdinalNotations.ON_plus]
cmpA:4 [in hydras.OrdinalNotations.ON_O]
cmpB:7 [in hydras.OrdinalNotations.ON_mult]
cmpB:7 [in hydras.OrdinalNotations.ON_plus]
cmp:13 [in hydras.OrdinalNotations.ON_Generic]
cmp:14 [in hydras.Prelude.Comparable]
cmp:3 [in hydras.solutions_exercises.lt_succ_le]
cmp:3 [in hydras.OrdinalNotations.ON_Generic]
cmp:4 [in hydras.solutions_exercises.predSuccUnicity]
cmp:6 [in hydras.Prelude.Comparable]
cmp:9 [in hydras.OrdinalNotations.ON_Generic]
cm:106 [in additions.fib]
cm:113 [in additions.fib]
cm:124 [in additions.fib]
codeArityFIsPR:6 [in hydras.Ackermann.wellFormed]
codeArityFIsPR:7 [in hydras.Ackermann.checkPrf]
codeArityFIsPR:7 [in Goedel.codeSysPrf]
codeArityRIsPR:13 [in hydras.Ackermann.checkPrf]
codeArityRIsPR:13 [in Goedel.codeSysPrf]
codeArityRIsPR:181 [in hydras.Ackermann.wellFormed]
Comparable0:15 [in hydras.Prelude.Comparable]
compareA:108 [in hydras.OrdinalNotations.ON_Generic]
compareA:123 [in hydras.OrdinalNotations.ON_Generic]
compareA:135 [in hydras.OrdinalNotations.ON_Generic]
compareA:148 [in hydras.OrdinalNotations.ON_Generic]
compareA:161 [in hydras.OrdinalNotations.ON_Generic]
compareA:173 [in hydras.OrdinalNotations.ON_Generic]
compareA:186 [in hydras.OrdinalNotations.ON_Generic]
compareA:200 [in hydras.OrdinalNotations.ON_Generic]
compareA:31 [in hydras.OrdinalNotations.ON_Generic]
compareA:50 [in hydras.OrdinalNotations.ON_Generic]
compareA:69 [in hydras.OrdinalNotations.ON_Generic]
compareA:83 [in hydras.OrdinalNotations.ON_Generic]
compareA:95 [in hydras.OrdinalNotations.ON_Generic]
compareB:112 [in hydras.OrdinalNotations.ON_Generic]
compareB:127 [in hydras.OrdinalNotations.ON_Generic]
compareB:139 [in hydras.OrdinalNotations.ON_Generic]
compareB:152 [in hydras.OrdinalNotations.ON_Generic]
compareB:165 [in hydras.OrdinalNotations.ON_Generic]
compareB:177 [in hydras.OrdinalNotations.ON_Generic]
compareB:190 [in hydras.OrdinalNotations.ON_Generic]
compareB:204 [in hydras.OrdinalNotations.ON_Generic]
compareB:35 [in hydras.OrdinalNotations.ON_Generic]
compareB:54 [in hydras.OrdinalNotations.ON_Generic]
compareB:87 [in hydras.OrdinalNotations.ON_Generic]
compareB:99 [in hydras.OrdinalNotations.ON_Generic]
compare:2 [in additions.Trace_exercise]
comp_res:96 [in hydras.Prelude.Comparable]
count:9 [in additions.AM]
cr:12 [in hydras.Ackermann.code]
cr:15 [in hydras.Ackermann.code]
cr:18 [in hydras.Ackermann.code]
cr:3 [in hydras.Ackermann.codeFreeVar]
cr:3 [in hydras.Ackermann.codeSubTerm]
cr:3 [in hydras.Ackermann.checkPrf]
cr:3 [in hydras.Ackermann.codeSubFormula]
cr:3 [in hydras.Ackermann.wellFormed]
cr:3 [in Goedel.codeSysPrf]
cr:3 [in hydras.Ackermann.codePA]
Cr:5 [in hydras.Schutte.Critical]
ctx:317 [in hydras.rpo.rpo]
ctx:89 [in hydras.rpo.rpo]
c'':46 [in hydras.Hydra.BigBattle]
c':1025 [in gaia_hydras.nfwfgaia]
c':1153 [in gaia_hydras.nfwfgaia]
c':1337 [in gaia_hydras.nfwfgaia]
c':1383 [in gaia_hydras.nfwfgaia]
c':1393 [in gaia_hydras.nfwfgaia]
c':1421 [in gaia_hydras.nfwfgaia]
c':1427 [in gaia_hydras.nfwfgaia]
c':1435 [in gaia_hydras.nfwfgaia]
c':1499 [in gaia_hydras.nfwfgaia]
c':1507 [in gaia_hydras.nfwfgaia]
c':1550 [in gaia_hydras.nfwfgaia]
c':1584 [in gaia_hydras.nfwfgaia]
c':1608 [in gaia_hydras.nfwfgaia]
c':1617 [in gaia_hydras.nfwfgaia]
c':1619 [in gaia_hydras.nfwfgaia]
c':1620 [in gaia_hydras.nfwfgaia]
c':1626 [in gaia_hydras.nfwfgaia]
c':1628 [in gaia_hydras.nfwfgaia]
c':1634 [in gaia_hydras.nfwfgaia]
c':1690 [in gaia_hydras.nfwfgaia]
c':1696 [in gaia_hydras.nfwfgaia]
c':2 [in hydras.Epsilon0.F_alpha]
c':20 [in additions.AM]
c':2065 [in gaia_hydras.nfwfgaia]
c':2079 [in gaia_hydras.nfwfgaia]
c':2084 [in gaia_hydras.nfwfgaia]
c':25 [in hydras.Hydra.BigBattle]
c':26 [in additions.Monoid_instances]
c':28 [in hydras.Gamma0.Gamma0]
c':303 [in hydras.Gamma0.Gamma0]
c':34 [in hydras.Hydra.BigBattle]
c':42 [in hydras.Hydra.BigBattle]
c':46 [in additions.Euclidean_Chains]
c':544 [in hydras.Ackermann.primRec]
c':58 [in additions.AM]
c':58 [in hydras.Hydra.BigBattle]
c':584 [in hydras.Gamma0.Gamma0]
c':81 [in additions.Addition_Chains]
c':84 [in hydras.Gamma0.T2]
c':872 [in gaia_hydras.nfwfgaia]
c':909 [in gaia_hydras.nfwfgaia]
c':917 [in gaia_hydras.nfwfgaia]
c':949 [in gaia_hydras.nfwfgaia]
c1:1173 [in gaia_hydras.nfwfgaia]
c1:1364 [in hydras.Ackermann.codeSubFormula]
c1:1817 [in gaia_hydras.nfwfgaia]
c1:470 [in gaia_hydras.nfwfgaia]
c1:598 [in gaia_hydras.nfwfgaia]
c1:73 [in hydras.Gamma0.Gamma0]
c1:80 [in hydras.Gamma0.Gamma0]
c1:85 [in hydras.Gamma0.Gamma0]
c2:1174 [in gaia_hydras.nfwfgaia]
c2:1365 [in hydras.Ackermann.codeSubFormula]
c2:1818 [in gaia_hydras.nfwfgaia]
c2:471 [in gaia_hydras.nfwfgaia]
c2:599 [in gaia_hydras.nfwfgaia]
c2:74 [in hydras.Gamma0.Gamma0]
c2:81 [in hydras.Gamma0.Gamma0]
c2:86 [in hydras.Gamma0.Gamma0]
c3:1175 [in gaia_hydras.nfwfgaia]
c3:1819 [in gaia_hydras.nfwfgaia]
c3:472 [in gaia_hydras.nfwfgaia]
c:1 [in hydras.Epsilon0.F_alpha]
c:1001 [in gaia_hydras.nfwfgaia]
c:1004 [in gaia_hydras.nfwfgaia]
c:1007 [in gaia_hydras.nfwfgaia]
c:101 [in hydras.Epsilon0.Hessenberg]
c:1011 [in gaia_hydras.nfwfgaia]
c:1032 [in gaia_hydras.nfwfgaia]
c:1037 [in gaia_hydras.nfwfgaia]
c:104 [in hydras.Ackermann.primRec]
c:104 [in hydras.MoreAck.PrimRecExamples]
c:105 [in hydras.Epsilon0.Hessenberg]
c:1052 [in gaia_hydras.nfwfgaia]
c:108 [in hydras.Epsilon0.Hessenberg]
c:113 [in hydras.Gamma0.T2]
c:113 [in additions.AM]
c:1147 [in gaia_hydras.nfwfgaia]
c:115 [in hydras.Ackermann.cPair]
c:1168 [in gaia_hydras.nfwfgaia]
c:117 [in hydras.Epsilon0.Hessenberg]
c:12 [in hydras.Gamma0.Gamma0]
c:1207 [in gaia_hydras.nfwfgaia]
c:121 [in hydras.Epsilon0.F_alpha]
c:1210 [in gaia_hydras.nfwfgaia]
C:123 [in hydras.rpo.more_list]
c:1254 [in gaia_hydras.nfwfgaia]
c:1257 [in gaia_hydras.nfwfgaia]
c:1260 [in gaia_hydras.nfwfgaia]
c:1263 [in gaia_hydras.nfwfgaia]
c:128 [in hydras.Epsilon0.T1]
c:13 [in additions.AM]
c:13 [in hydras.Ackermann.code]
c:1322 [in gaia_hydras.nfwfgaia]
c:133 [in hydras.Epsilon0.Hessenberg]
c:1332 [in gaia_hydras.nfwfgaia]
c:1347 [in gaia_hydras.nfwfgaia]
c:1352 [in gaia_hydras.nfwfgaia]
c:1357 [in gaia_hydras.nfwfgaia]
c:1362 [in gaia_hydras.nfwfgaia]
c:1367 [in gaia_hydras.nfwfgaia]
C:1369 [in hydras.Ackermann.codeSubFormula]
c:1372 [in gaia_hydras.nfwfgaia]
c:1378 [in gaia_hydras.nfwfgaia]
c:1390 [in gaia_hydras.nfwfgaia]
c:14 [in hydras.Prelude.MoreDecidable]
c:14 [in hydras.rpo.closure]
C:1407 [in hydras.Ackermann.codeSubFormula]
c:1418 [in gaia_hydras.nfwfgaia]
c:142 [in hydras.Ackermann.primRec]
c:1424 [in gaia_hydras.nfwfgaia]
c:143 [in hydras.Gamma0.T2]
c:1430 [in gaia_hydras.nfwfgaia]
c:144 [in hydras.Ackermann.LNT]
c:144 [in hydras.Gamma0.Gamma0]
c:145 [in hydras.Ackermann.primRec]
c:145 [in additions.fib]
c:147 [in hydras.Ackermann.LNN]
c:148 [in hydras.Ackermann.LNT]
c:148 [in hydras.Ackermann.primRec]
c:149 [in hydras.Gamma0.T2]
c:1494 [in gaia_hydras.nfwfgaia]
c:15 [in hydras.solutions_exercises.FibonacciPR]
c:15 [in hydras.Hydra.BigBattle]
c:1504 [in gaia_hydras.nfwfgaia]
c:151 [in hydras.Ackermann.LNN]
c:151 [in hydras.Ackermann.primRec]
C:151 [in hydras.Ackermann.fol]
c:1510 [in gaia_hydras.nfwfgaia]
c:1522 [in gaia_hydras.nfwfgaia]
c:1525 [in gaia_hydras.nfwfgaia]
c:1528 [in gaia_hydras.nfwfgaia]
c:153 [in hydras.Ackermann.LNT]
c:1533 [in gaia_hydras.nfwfgaia]
c:1538 [in gaia_hydras.nfwfgaia]
c:1542 [in gaia_hydras.nfwfgaia]
c:1545 [in gaia_hydras.nfwfgaia]
c:155 [in hydras.Ackermann.primRec]
c:1553 [in gaia_hydras.nfwfgaia]
c:156 [in hydras.Ackermann.LNN]
c:1560 [in gaia_hydras.nfwfgaia]
c:1563 [in gaia_hydras.nfwfgaia]
c:1566 [in gaia_hydras.nfwfgaia]
c:157 [in additions.AM]
c:1570 [in gaia_hydras.nfwfgaia]
c:1576 [in gaia_hydras.nfwfgaia]
c:1580 [in gaia_hydras.nfwfgaia]
c:1589 [in gaia_hydras.nfwfgaia]
c:159 [in hydras.Ackermann.primRec]
c:16 [in hydras.Ackermann.extEqualNat]
c:16 [in hydras.Ackermann.code]
c:16 [in additions.Euclidean_Chains]
c:16 [in hydras.Ackermann.folLogic3]
c:16 [in hydras.MoreAck.PrimRecExamples]
c:1603 [in gaia_hydras.nfwfgaia]
c:1614 [in gaia_hydras.nfwfgaia]
c:1623 [in gaia_hydras.nfwfgaia]
c:163 [in hydras.Ackermann.primRec]
c:1631 [in gaia_hydras.nfwfgaia]
c:1637 [in gaia_hydras.nfwfgaia]
c:164 [in hydras.Ackermann.LNN]
c:164 [in hydras.Gamma0.Gamma0]
c:1647 [in gaia_hydras.nfwfgaia]
c:1652 [in gaia_hydras.nfwfgaia]
c:1662 [in gaia_hydras.nfwfgaia]
c:1673 [in gaia_hydras.nfwfgaia]
c:1676 [in gaia_hydras.nfwfgaia]
c:168 [in hydras.Gamma0.Gamma0]
c:1685 [in gaia_hydras.nfwfgaia]
c:1693 [in gaia_hydras.nfwfgaia]
c:17 [in hydras.solutions_exercises.FibonacciPR]
c:172 [in hydras.Gamma0.Gamma0]
c:1747 [in gaia_hydras.nfwfgaia]
c:1751 [in gaia_hydras.nfwfgaia]
c:1754 [in gaia_hydras.nfwfgaia]
c:179 [in additions.Addition_Chains]
c:1793 [in gaia_hydras.nfwfgaia]
c:180 [in additions.Addition_Chains]
c:181 [in additions.Addition_Chains]
c:1812 [in gaia_hydras.nfwfgaia]
c:185 [in hydras.Ackermann.primRec]
c:1858 [in gaia_hydras.nfwfgaia]
c:187 [in additions.Addition_Chains]
c:1879 [in gaia_hydras.nfwfgaia]
c:188 [in hydras.Ackermann.primRec]
c:1888 [in gaia_hydras.nfwfgaia]
c:19 [in additions.AM]
c:19 [in hydras.solutions_exercises.FibonacciPR]
c:190 [in hydras.Ackermann.cPair]
c:191 [in hydras.Ackermann.primRec]
c:196 [in hydras.Epsilon0.T1]
c:196 [in hydras.Ackermann.primRec]
c:199 [in hydras.Ackermann.primRec]
c:20 [in hydras.Prelude.MoreDecidable]
c:2008 [in gaia_hydras.nfwfgaia]
c:202 [in hydras.Ackermann.primRec]
c:2023 [in gaia_hydras.nfwfgaia]
c:2027 [in gaia_hydras.nfwfgaia]
c:2032 [in gaia_hydras.nfwfgaia]
c:2039 [in gaia_hydras.nfwfgaia]
c:2046 [in gaia_hydras.nfwfgaia]
c:2049 [in gaia_hydras.nfwfgaia]
c:205 [in additions.Addition_Chains]
c:2055 [in gaia_hydras.nfwfgaia]
c:2060 [in gaia_hydras.nfwfgaia]
c:207 [in hydras.Ackermann.primRec]
c:207 [in additions.Addition_Chains]
c:2072 [in gaia_hydras.nfwfgaia]
c:2075 [in gaia_hydras.nfwfgaia]
c:208 [in additions.Addition_Chains]
c:208 [in gaia_hydras.nfwfgaia]
c:21 [in hydras.solutions_exercises.FibonacciPR]
c:210 [in hydras.Ackermann.primRec]
c:211 [in gaia_hydras.nfwfgaia]
c:213 [in hydras.Ackermann.primRec]
c:213 [in additions.Addition_Chains]
c:214 [in additions.Addition_Chains]
c:214 [in gaia_hydras.nfwfgaia]
c:215 [in hydras.Ackermann.cPair]
c:216 [in additions.Addition_Chains]
c:217 [in gaia_hydras.nfwfgaia]
c:218 [in hydras.Ackermann.primRec]
c:218 [in additions.Addition_Chains]
c:22 [in hydras.Hydra.BigBattle]
c:22 [in additions.Monoid_instances]
c:220 [in hydras.Gamma0.Gamma0]
c:221 [in hydras.Ackermann.primRec]
c:224 [in hydras.Ackermann.primRec]
c:226 [in hydras.Gamma0.Gamma0]
c:227 [in hydras.Ackermann.primRec]
c:23 [in additions.Trace_exercise]
c:230 [in hydras.Ackermann.primRec]
c:230 [in hydras.Gamma0.Gamma0]
c:234 [in hydras.Ackermann.primRec]
c:234 [in hydras.Gamma0.Gamma0]
c:237 [in hydras.Ackermann.primRec]
c:24 [in hydras.Prelude.Comparable]
c:24 [in additions.Trace_exercise]
c:240 [in hydras.Ackermann.primRec]
c:243 [in hydras.Ackermann.primRec]
c:246 [in hydras.Ackermann.primRec]
c:25 [in gaia_hydras.GHessenberg]
c:250 [in hydras.Ackermann.primRec]
c:253 [in hydras.Ackermann.primRec]
c:256 [in hydras.Ackermann.primRec]
c:259 [in hydras.Ackermann.primRec]
c:26 [in additions.Fib2]
c:26 [in hydras.Prelude.More_Arith]
C:26 [in hydras.Ackermann.fol]
c:26 [in hydras.Gamma0.Gamma0]
c:262 [in hydras.Ackermann.primRec]
c:266 [in hydras.Ackermann.primRec]
C:267 [in hydras.Ackermann.checkPrf]
c:270 [in hydras.Ackermann.primRec]
c:270 [in hydras.Gamma0.Gamma0]
c:274 [in hydras.Ackermann.primRec]
c:278 [in hydras.Ackermann.primRec]
c:28 [in additions.Fib2]
c:282 [in hydras.Ackermann.primRec]
c:286 [in hydras.Gamma0.Gamma0]
c:287 [in hydras.Ackermann.primRec]
c:288 [in additions.Addition_Chains]
c:290 [in hydras.Gamma0.Gamma0]
c:291 [in hydras.Ackermann.primRec]
c:294 [in hydras.Gamma0.Gamma0]
c:295 [in hydras.Ackermann.primRec]
c:297 [in additions.Addition_Chains]
c:298 [in hydras.Gamma0.Gamma0]
c:3 [in additions.AM]
C:3 [in hydras.rpo.more_list]
c:3 [in hydras.Epsilon0.F_alpha]
c:3 [in hydras.Prelude.MoreDecidable]
c:300 [in hydras.Ackermann.primRec]
c:304 [in hydras.Ackermann.primRec]
c:305 [in gaia_hydras.nfwfgaia]
c:308 [in Goedel.PRrepresentable]
c:308 [in hydras.Ackermann.primRec]
c:308 [in gaia_hydras.nfwfgaia]
c:309 [in hydras.Gamma0.Gamma0]
C:31 [in hydras.Ackermann.folProof]
c:31 [in hydras.Prelude.Comparable]
c:31 [in hydras.Hydra.BigBattle]
c:312 [in hydras.Epsilon0.T1]
c:312 [in hydras.Ackermann.primRec]
c:316 [in hydras.Ackermann.primRec]
c:32 [in hydras.Ackermann.extEqualNat]
c:32 [in hydras.Gamma0.Gamma0]
c:32 [in gaia_hydras.GHessenberg]
c:320 [in hydras.Ackermann.primRec]
c:324 [in hydras.Ackermann.primRec]
c:329 [in hydras.Ackermann.primRec]
c:33 [in hydras.Ackermann.folLogic3]
c:333 [in hydras.Ackermann.primRec]
c:337 [in hydras.Ackermann.primRec]
c:34 [in additions.AM]
c:340 [in Goedel.PRrepresentable]
c:341 [in hydras.Ackermann.primRec]
c:342 [in Goedel.PRrepresentable]
c:342 [in hydras.Ackermann.cPair]
c:344 [in Goedel.PRrepresentable]
c:345 [in Goedel.PRrepresentable]
c:345 [in hydras.Ackermann.primRec]
c:348 [in hydras.Ackermann.cPair]
c:35 [in hydras.Ackermann.cPair]
c:35 [in gaia_hydras.GHessenberg]
c:351 [in hydras.Ackermann.cPair]
c:352 [in additions.Euclidean_Chains]
c:353 [in Goedel.PRrepresentable]
c:354 [in hydras.Ackermann.cPair]
c:357 [in Goedel.PRrepresentable]
c:357 [in hydras.Ackermann.cPair]
c:359 [in hydras.Ackermann.cPair]
c:36 [in hydras.Prelude.MoreVectors]
c:361 [in Goedel.PRrepresentable]
c:361 [in hydras.Ackermann.cPair]
c:364 [in hydras.Ackermann.cPair]
c:365 [in Goedel.PRrepresentable]
c:367 [in hydras.Ackermann.cPair]
c:37 [in hydras.Prelude.Comparable]
c:370 [in hydras.Ackermann.cPair]
c:38 [in hydras.Hydra.BigBattle]
c:38 [in gaia_hydras.GHessenberg]
c:387 [in Goedel.PRrepresentable]
c:39 [in hydras.OrdinalNotations.OmegaOmega]
c:39 [in hydras.Schutte.Well_Orders]
c:391 [in Goedel.PRrepresentable]
c:395 [in Goedel.PRrepresentable]
c:399 [in Goedel.PRrepresentable]
c:4 [in additions.AM]
c:4 [in hydras.Gamma0.Gamma0]
c:40 [in additions.Addition_Chains]
c:401 [in gaia_hydras.nfwfgaia]
c:407 [in Goedel.PRrepresentable]
c:407 [in gaia_hydras.nfwfgaia]
c:410 [in gaia_hydras.nfwfgaia]
c:411 [in Goedel.PRrepresentable]
c:414 [in hydras.Epsilon0.T1]
c:414 [in gaia_hydras.nfwfgaia]
c:415 [in Goedel.PRrepresentable]
c:419 [in Goedel.PRrepresentable]
c:43 [in hydras.Ackermann.cPair]
c:43 [in additions.Addition_Chains]
c:432 [in hydras.Gamma0.Gamma0]
c:441 [in hydras.Ackermann.primRec]
c:444 [in hydras.Epsilon0.T1]
c:445 [in hydras.Epsilon0.T1]
c:45 [in additions.Euclidean_Chains]
c:450 [in hydras.Epsilon0.T1]
c:460 [in hydras.Epsilon0.T1]
c:461 [in gaia_hydras.nfwfgaia]
c:463 [in hydras.Epsilon0.T1]
c:47 [in hydras.Ackermann.cPair]
c:480 [in hydras.Gamma0.Gamma0]
c:49 [in hydras.Prelude.More_Arith]
c:50 [in hydras.Prelude.Comparable]
c:50 [in hydras.Hydra.BigBattle]
c:505 [in hydras.Epsilon0.T1]
c:51 [in gaia_hydras.T1Bridge]
c:51 [in hydras.Ackermann.cPair]
c:51 [in additions.Addition_Chains]
c:52 [in additions.Addition_Chains]
c:526 [in hydras.Gamma0.Gamma0]
c:529 [in hydras.Gamma0.Gamma0]
c:53 [in hydras.Prelude.Comparable]
c:532 [in hydras.Gamma0.Gamma0]
c:54 [in hydras.Hydra.BigBattle]
c:543 [in hydras.Ackermann.primRec]
c:55 [in hydras.Ackermann.cPair]
c:558 [in hydras.Gamma0.Gamma0]
c:56 [in hydras.Prelude.Comparable]
c:56 [in additions.Addition_Chains]
c:565 [in hydras.Epsilon0.T1]
c:567 [in hydras.Gamma0.Gamma0]
c:57 [in additions.AM]
c:573 [in hydras.Epsilon0.T1]
c:574 [in hydras.Gamma0.Gamma0]
c:577 [in hydras.Epsilon0.T1]
c:578 [in hydras.Gamma0.Gamma0]
c:580 [in hydras.Gamma0.Gamma0]
c:581 [in hydras.Epsilon0.T1]
c:583 [in hydras.Gamma0.Gamma0]
c:59 [in hydras.Hydra.BigBattle]
c:591 [in hydras.Gamma0.Gamma0]
c:594 [in hydras.Gamma0.Gamma0]
c:599 [in hydras.Gamma0.Gamma0]
c:604 [in hydras.Epsilon0.T1]
c:607 [in hydras.Epsilon0.T1]
c:611 [in hydras.Epsilon0.T1]
c:614 [in hydras.Epsilon0.T1]
c:617 [in hydras.Epsilon0.T1]
c:617 [in hydras.Ackermann.primRec]
c:621 [in hydras.Epsilon0.T1]
c:623 [in hydras.Epsilon0.T1]
c:625 [in hydras.Ackermann.primRec]
c:629 [in hydras.Epsilon0.T1]
c:629 [in hydras.Ackermann.primRec]
c:636 [in hydras.Gamma0.Gamma0]
c:644 [in hydras.Ackermann.primRec]
c:649 [in hydras.Ackermann.primRec]
c:657 [in hydras.Ackermann.primRec]
c:673 [in hydras.Gamma0.Gamma0]
c:68 [in hydras.Schutte.Schutte_basics]
c:68 [in additions.Addition_Chains]
c:680 [in hydras.Ackermann.primRec]
c:684 [in hydras.Ackermann.primRec]
c:687 [in hydras.Ackermann.primRec]
c:689 [in hydras.Ackermann.primRec]
c:69 [in hydras.Prelude.DecPreOrder]
c:691 [in hydras.Ackermann.primRec]
c:692 [in hydras.Gamma0.Gamma0]
c:693 [in hydras.Ackermann.primRec]
c:696 [in hydras.Ackermann.primRec]
c:699 [in hydras.Ackermann.primRec]
c:70 [in additions.Addition_Chains]
c:71 [in hydras.Gamma0.T2]
c:71 [in additions.AM]
c:71 [in hydras.Schutte.Schutte_basics]
c:720 [in hydras.Ackermann.primRec]
c:722 [in gaia_hydras.nfwfgaia]
c:724 [in hydras.Ackermann.primRec]
c:729 [in hydras.Ackermann.primRec]
c:732 [in hydras.Ackermann.primRec]
c:733 [in hydras.Epsilon0.T1]
c:735 [in hydras.Ackermann.primRec]
c:737 [in hydras.Epsilon0.T1]
c:738 [in hydras.Ackermann.primRec]
c:74 [in hydras.Schutte.Schutte_basics]
c:741 [in hydras.Ackermann.primRec]
c:744 [in hydras.Ackermann.primRec]
c:747 [in hydras.Ackermann.primRec]
c:75 [in hydras.Prelude.DecPreOrder]
c:750 [in hydras.Ackermann.primRec]
c:753 [in hydras.Ackermann.primRec]
c:756 [in hydras.Ackermann.primRec]
c:762 [in hydras.Ackermann.primRec]
c:764 [in hydras.Ackermann.primRec]
c:766 [in hydras.Ackermann.primRec]
c:768 [in hydras.Ackermann.primRec]
c:77 [in hydras.Schutte.Schutte_basics]
c:770 [in hydras.Ackermann.primRec]
c:772 [in hydras.Ackermann.primRec]
c:774 [in hydras.Ackermann.primRec]
c:776 [in hydras.Ackermann.primRec]
c:778 [in hydras.Ackermann.primRec]
c:78 [in additions.Addition_Chains]
c:780 [in hydras.Ackermann.primRec]
c:782 [in hydras.Ackermann.primRec]
c:784 [in hydras.Ackermann.primRec]
c:787 [in hydras.Ackermann.primRec]
c:79 [in hydras.Epsilon0.Hessenberg]
c:790 [in hydras.Ackermann.primRec]
c:798 [in hydras.Ackermann.primRec]
c:8 [in hydras.Prelude.MoreDecidable]
c:8 [in hydras.Gamma0.Gamma0]
c:80 [in additions.Addition_Chains]
c:804 [in hydras.Ackermann.primRec]
c:81 [in additions.AM]
c:850 [in hydras.Ackermann.codeSubFormula]
c:854 [in gaia_hydras.nfwfgaia]
c:863 [in gaia_hydras.nfwfgaia]
c:868 [in gaia_hydras.nfwfgaia]
c:88 [in hydras.OrdinalNotations.OmegaOmega]
c:9 [in hydras.MoreAck.PrimRecExamples]
c:90 [in hydras.MoreAck.PrimRecExamples]
c:905 [in gaia_hydras.nfwfgaia]
c:91 [in additions.AM]
c:913 [in gaia_hydras.nfwfgaia]
c:92 [in additions.AM]
c:93 [in hydras.Gamma0.T2]
c:940 [in gaia_hydras.nfwfgaia]
c:947 [in gaia_hydras.nfwfgaia]
c:95 [in hydras.Prelude.Comparable]
c:995 [in gaia_hydras.nfwfgaia]

D

daughters:7 [in hydras.Hydra.Hydra_Definitions]
DA:36 [in hydras.Schutte.Countable]
DA:37 [in hydras.Prelude.DecPreOrder_Instances]
DB:38 [in hydras.Prelude.DecPreOrder_Instances]
dec:20 [in hydras.Prelude.STDPP_compat]
dec:33 [in hydras.Prelude.Sort_spec]
dec:42 [in hydras.Prelude.Sort_spec]
dec:66 [in hydras.Prelude.Sort_spec]
dec:77 [in hydras.Prelude.Sort_spec]
dec:90 [in hydras.Prelude.DecPreOrder]
delta:593 [in hydras.Epsilon0.T1]
delta:62 [in hydras.Schutte.Addition]
dest:102 [in hydras.Hydra.Hydra_Definitions]
disp:27 [in gaia_hydras.onType]
dom:152 [in hydras.rpo.more_list]
d':1205 [in gaia_hydras.nfwfgaia]
d':1339 [in gaia_hydras.nfwfgaia]
d':1385 [in gaia_hydras.nfwfgaia]
d':1437 [in gaia_hydras.nfwfgaia]
d':1501 [in gaia_hydras.nfwfgaia]
d':1557 [in gaia_hydras.nfwfgaia]
d':1586 [in gaia_hydras.nfwfgaia]
d':1610 [in gaia_hydras.nfwfgaia]
d':1692 [in gaia_hydras.nfwfgaia]
d':2044 [in gaia_hydras.nfwfgaia]
d':2067 [in gaia_hydras.nfwfgaia]
d':27 [in additions.Monoid_instances]
d':849 [in gaia_hydras.nfwfgaia]
d:10 [in hydras.MoreAck.PrimRecExamples]
d:116 [in hydras.Ackermann.cPair]
d:118 [in hydras.Epsilon0.Hessenberg]
d:13 [in hydras.Prelude.MoreDecidable]
d:1308 [in hydras.Ackermann.codeSubFormula]
d:1334 [in gaia_hydras.nfwfgaia]
d:1349 [in gaia_hydras.nfwfgaia]
d:1354 [in gaia_hydras.nfwfgaia]
d:1359 [in gaia_hydras.nfwfgaia]
d:1364 [in gaia_hydras.nfwfgaia]
d:1369 [in gaia_hydras.nfwfgaia]
d:1374 [in gaia_hydras.nfwfgaia]
d:1380 [in gaia_hydras.nfwfgaia]
d:1432 [in gaia_hydras.nfwfgaia]
d:146 [in additions.fib]
d:149 [in hydras.Ackermann.LNT]
d:1496 [in gaia_hydras.nfwfgaia]
d:152 [in hydras.Ackermann.LNN]
d:152 [in hydras.Ackermann.primRec]
d:1535 [in gaia_hydras.nfwfgaia]
d:154 [in hydras.Ackermann.LNT]
d:1546 [in gaia_hydras.nfwfgaia]
d:1555 [in gaia_hydras.nfwfgaia]
d:156 [in hydras.Ackermann.primRec]
d:157 [in hydras.Ackermann.LNN]
d:1591 [in gaia_hydras.nfwfgaia]
d:160 [in hydras.Ackermann.primRec]
d:1605 [in gaia_hydras.nfwfgaia]
d:164 [in hydras.Ackermann.primRec]
d:165 [in hydras.Ackermann.LNN]
d:1654 [in gaia_hydras.nfwfgaia]
d:1678 [in gaia_hydras.nfwfgaia]
d:1687 [in gaia_hydras.nfwfgaia]
d:17 [in hydras.MoreAck.PrimRecExamples]
d:1795 [in gaia_hydras.nfwfgaia]
d:19 [in hydras.Prelude.MoreDecidable]
D:2 [in hydras.Schutte.Lub]
d:2029 [in gaia_hydras.nfwfgaia]
d:23 [in additions.Monoid_instances]
d:267 [in hydras.Ackermann.primRec]
d:271 [in hydras.Ackermann.primRec]
d:275 [in hydras.Ackermann.primRec]
d:279 [in hydras.Ackermann.primRec]
d:283 [in hydras.Ackermann.primRec]
d:288 [in hydras.Ackermann.primRec]
d:292 [in hydras.Ackermann.primRec]
d:296 [in hydras.Ackermann.primRec]
d:301 [in hydras.Ackermann.primRec]
d:305 [in hydras.Ackermann.primRec]
d:309 [in hydras.Ackermann.primRec]
d:313 [in hydras.Ackermann.primRec]
d:317 [in hydras.Ackermann.primRec]
d:321 [in hydras.Ackermann.primRec]
d:325 [in hydras.Ackermann.primRec]
d:330 [in hydras.Ackermann.primRec]
d:334 [in hydras.Ackermann.primRec]
d:335 [in additions.Euclidean_Chains]
d:338 [in hydras.Ackermann.primRec]
d:34 [in hydras.Ackermann.folLogic3]
d:342 [in hydras.Ackermann.primRec]
d:346 [in hydras.Ackermann.primRec]
d:36 [in hydras.Ackermann.cPair]
d:385 [in additions.Euclidean_Chains]
d:391 [in additions.Euclidean_Chains]
d:398 [in additions.Euclidean_Chains]
d:4 [in hydras.Prelude.MoreDecidable]
d:44 [in hydras.Ackermann.cPair]
d:48 [in hydras.Ackermann.cPair]
d:5 [in hydras.Prelude.MoreDecidable]
d:52 [in hydras.Ackermann.cPair]
d:56 [in hydras.Ackermann.cPair]
d:567 [in hydras.Epsilon0.T1]
d:595 [in hydras.Gamma0.Gamma0]
d:609 [in hydras.Epsilon0.T1]
d:625 [in hydras.Epsilon0.T1]
d:631 [in hydras.Epsilon0.T1]
d:658 [in hydras.Ackermann.primRec]
D:8 [in hydras.Schutte.Lub]
d:845 [in gaia_hydras.nfwfgaia]
d:851 [in hydras.Ackermann.codeSubFormula]
d:91 [in hydras.MoreAck.PrimRecExamples]

E

eqA:107 [in hydras.rpo.more_list]
eqA:115 [in hydras.rpo.more_list]
eqA:139 [in hydras.rpo.more_list]
eqA:148 [in hydras.rpo.more_list]
eqA:158 [in hydras.rpo.more_list]
eqA:167 [in hydras.rpo.more_list]
eqA:174 [in hydras.rpo.more_list]
eqA:182 [in hydras.rpo.more_list]
eqA:190 [in hydras.rpo.more_list]
eqA:205 [in hydras.rpo.more_list]
eqA:214 [in hydras.rpo.more_list]
eqA:224 [in hydras.rpo.more_list]
eqA:242 [in hydras.rpo.more_list]
eqA:251 [in hydras.rpo.more_list]
eqA:263 [in hydras.rpo.more_list]
eqA:81 [in hydras.rpo.more_list]
eqA:91 [in hydras.rpo.more_list]
eqA:99 [in hydras.rpo.more_list]
equiv:44 [in additions.Euclidean_Chains]
equiv:49 [in additions.Euclidean_Chains]
equiv:52 [in additions.Euclidean_Chains]
equ:101 [in additions.AM]
equ:106 [in additions.AM]
equ:111 [in additions.AM]
equ:121 [in additions.AM]
equ:126 [in additions.AM]
equ:38 [in additions.AM]
equ:44 [in additions.AM]
equ:55 [in additions.AM]
equ:62 [in additions.AM]
equ:75 [in additions.AM]
equ:85 [in additions.AM]
equ:96 [in additions.AM]
eqv:104 [in additions.Addition_Chains]
eqv:112 [in additions.Addition_Chains]
eqv:118 [in additions.Addition_Chains]
eqv:125 [in additions.Addition_Chains]
eqv:132 [in additions.Addition_Chains]
eqv:162 [in additions.Addition_Chains]
eqv:169 [in additions.Addition_Chains]
eqv:175 [in additions.Addition_Chains]
eq_A_dec:19 [in hydras.rpo.rpo]
eq_A_dec:14 [in hydras.rpo.rpo]
eq_A_dec:5 [in hydras.rpo.rpo]
eta:80 [in hydras.Schutte.Critical]
exp:746 [in hydras.Epsilon0.T1]
exp:751 [in hydras.Epsilon0.T1]
E_eq:240 [in additions.AM]
E_one:239 [in additions.AM]
E_op:238 [in additions.AM]
E_eq:233 [in additions.AM]
E_one:232 [in additions.AM]
E_op:231 [in additions.AM]
E_eq:51 [in additions.Pow_variant]
E_one:50 [in additions.Pow_variant]
E_op:49 [in additions.Pow_variant]
E_eq:42 [in additions.Pow_variant]
E_one:41 [in additions.Pow_variant]
E_op:40 [in additions.Pow_variant]
E_eq:32 [in additions.Pow_variant]
E_one:31 [in additions.Pow_variant]
E_op:30 [in additions.Pow_variant]
E_eq:26 [in additions.Pow_variant]
E_one:25 [in additions.Pow_variant]
E_op:24 [in additions.Pow_variant]
E_eq:19 [in additions.Pow_variant]
E_one:18 [in additions.Pow_variant]
E_op:17 [in additions.Pow_variant]
E_eq:13 [in additions.Pow_variant]
E_one:12 [in additions.Pow_variant]
E_op:11 [in additions.Pow_variant]
E_eq:4 [in additions.Pow_variant]
E_one:3 [in additions.Pow_variant]
E_op:2 [in additions.Pow_variant]
E_eq:59 [in additions.Pow]
E_op:58 [in additions.Pow]
E_eq:51 [in additions.Pow]
E_one:50 [in additions.Pow]
E_op:49 [in additions.Pow]
E_eq:42 [in additions.Pow]
E_one:41 [in additions.Pow]
E_op:40 [in additions.Pow]
E_eq:32 [in additions.Pow]
E_one:31 [in additions.Pow]
E_op:30 [in additions.Pow]
E_eq:26 [in additions.Pow]
E_one:25 [in additions.Pow]
E_op:24 [in additions.Pow]
E_eq:19 [in additions.Pow]
E_one:18 [in additions.Pow]
E_op:17 [in additions.Pow]
E_eq:13 [in additions.Pow]
E_one:12 [in additions.Pow]
E_op:11 [in additions.Pow]
E_eq:4 [in additions.Pow]
E_one:3 [in additions.Pow]
E_op:2 [in additions.Pow]
E_eq:54 [in additions.Monoid_def]
E_one:53 [in additions.Monoid_def]
E_op:52 [in additions.Monoid_def]
E_eq:49 [in additions.Monoid_def]
E_one:48 [in additions.Monoid_def]
E_op:47 [in additions.Monoid_def]
E_eq:44 [in additions.Monoid_def]
E_one:43 [in additions.Monoid_def]
E_op:42 [in additions.Monoid_def]
E_eq:39 [in additions.Monoid_def]
E_one:38 [in additions.Monoid_def]
E_op:37 [in additions.Monoid_def]
E_eq:24 [in additions.Monoid_def]
E_one:23 [in additions.Monoid_def]
E_op:22 [in additions.Monoid_def]
E_equiv:197 [in additions.Euclidean_Chains]
E_one:196 [in additions.Euclidean_Chains]
E_equiv:185 [in additions.Euclidean_Chains]
E_one:184 [in additions.Euclidean_Chains]
E_equiv:171 [in additions.Euclidean_Chains]
E_one:170 [in additions.Euclidean_Chains]
E_equiv:165 [in additions.Euclidean_Chains]
E_one:164 [in additions.Euclidean_Chains]
E_equiv:113 [in additions.Euclidean_Chains]
E_one:112 [in additions.Euclidean_Chains]
E_equiv:102 [in additions.Euclidean_Chains]
E_one:101 [in additions.Euclidean_Chains]
E_equiv:91 [in additions.Euclidean_Chains]
E_one:90 [in additions.Euclidean_Chains]
E_equiv:71 [in additions.Euclidean_Chains]
E_one:70 [in additions.Euclidean_Chains]
E_equiv:64 [in additions.Euclidean_Chains]
E_one:63 [in additions.Euclidean_Chains]
E_equiv:56 [in additions.Euclidean_Chains]
E_one:55 [in additions.Euclidean_Chains]
E_equiv:38 [in additions.Euclidean_Chains]
E_one:37 [in additions.Euclidean_Chains]
E_eq:234 [in additions.Addition_Chains]
E_one:233 [in additions.Addition_Chains]
E_op:232 [in additions.Addition_Chains]
E_eq:226 [in additions.Addition_Chains]
E_one:225 [in additions.Addition_Chains]
E_op:224 [in additions.Addition_Chains]
E_eq:74 [in additions.Addition_Chains]
E_one:73 [in additions.Addition_Chains]
E_op:72 [in additions.Addition_Chains]
E_eq:66 [in additions.Addition_Chains]
E_one:65 [in additions.Addition_Chains]
E_op:64 [in additions.Addition_Chains]
E_eq:60 [in additions.Addition_Chains]
E_one:59 [in additions.Addition_Chains]
E_op:58 [in additions.Addition_Chains]
E_eq:49 [in additions.Addition_Chains]
E_one:48 [in additions.Addition_Chains]
E_op:47 [in additions.Addition_Chains]
e':33 [in hydras.rpo.list_set]
e':36 [in hydras.rpo.list_set]
e1:103 [in additions.fib]
e1:110 [in additions.fib]
e1:179 [in hydras.rpo.list_set]
e2:104 [in additions.fib]
e2:111 [in additions.fib]
e2:180 [in hydras.rpo.list_set]
e:10 [in hydras.rpo.list_set]
e:100 [in hydras.rpo.list_set]
e:103 [in hydras.rpo.list_set]
e:106 [in hydras.rpo.list_set]
e:109 [in hydras.rpo.list_set]
e:11 [in hydras.MoreAck.PrimRecExamples]
e:112 [in hydras.rpo.list_set]
e:119 [in additions.fib]
e:121 [in hydras.rpo.list_set]
E:126 [in hydras.Schutte.Ordering_Functions]
e:129 [in hydras.rpo.list_set]
e:132 [in hydras.rpo.list_set]
e:136 [in hydras.rpo.list_set]
e:139 [in hydras.rpo.list_set]
e:143 [in hydras.rpo.list_set]
e:147 [in hydras.rpo.list_set]
e:151 [in hydras.rpo.list_set]
e:154 [in hydras.rpo.list_set]
e:157 [in hydras.rpo.list_set]
e:170 [in hydras.rpo.list_set]
e:199 [in hydras.rpo.list_set]
E:2 [in hydras.Prelude.Restriction]
E:2 [in hydras.solutions_exercises.Limit_Infinity]
e:204 [in hydras.rpo.term]
e:21 [in hydras.rpo.term]
e:22 [in hydras.rpo.list_set]
e:24 [in hydras.rpo.list_set]
e:241 [in hydras.rpo.list_set]
e:245 [in hydras.rpo.list_set]
e:252 [in hydras.rpo.list_set]
e:26 [in hydras.rpo.list_set]
e:28 [in hydras.rpo.list_set]
e:29 [in hydras.rpo.list_permut]
e:30 [in hydras.rpo.list_set]
e:32 [in hydras.rpo.list_set]
e:32 [in hydras.rpo.list_permut]
e:33 [in hydras.rpo.list_permut]
e:35 [in hydras.rpo.list_set]
e:39 [in hydras.rpo.list_set]
e:46 [in hydras.rpo.list_set]
e:54 [in hydras.Prelude.More_Arith]
e:55 [in hydras.rpo.list_permut]
e:57 [in hydras.rpo.list_set]
e:61 [in hydras.rpo.list_set]
e:65 [in hydras.rpo.list_set]
e:69 [in hydras.rpo.list_set]
e:73 [in hydras.rpo.list_set]
e:743 [in hydras.Epsilon0.T1]
e:75 [in hydras.rpo.list_set]
e:754 [in hydras.Epsilon0.T1]
e:78 [in hydras.rpo.list_set]
e:81 [in hydras.rpo.list_set]
e:84 [in hydras.rpo.list_set]
e:85 [in hydras.rpo.list_set]
e:92 [in hydras.MoreAck.PrimRecExamples]
e:97 [in hydras.rpo.list_set]

F

fA:181 [in hydras.OrdinalNotations.ON_Generic]
fB:182 [in hydras.OrdinalNotations.ON_Generic]
fc1:120 [in additions.Euclidean_Chains]
fc1:129 [in additions.Euclidean_Chains]
fc1:133 [in additions.Euclidean_Chains]
fc2:121 [in additions.Euclidean_Chains]
fc2:130 [in additions.Euclidean_Chains]
fc2:134 [in additions.Euclidean_Chains]
fc:108 [in additions.Euclidean_Chains]
fc:34 [in additions.Euclidean_Chains]
fc:79 [in additions.Euclidean_Chains]
fc:86 [in additions.Euclidean_Chains]
fin:90 [in additions.Addition_Chains]
fn1:47 [in additions.fib]
fn2:48 [in additions.fib]
fn3:49 [in additions.fib]
fn:33 [in additions.AM]
fn:446 [in hydras.Ackermann.primRec]
fn:459 [in hydras.Ackermann.primRec]
fn:480 [in hydras.Ackermann.primRec]
foo:167 [in hydras.Schutte.Ordering_Functions]
foo:42 [in hydras.Ackermann.fol]
foo:45 [in hydras.Ackermann.fol]
fp:233 [in additions.Euclidean_Chains]
fp:302 [in additions.Euclidean_Chains]
fp:318 [in additions.Euclidean_Chains]
fp:320 [in additions.Euclidean_Chains]
Fp:323 [in additions.Euclidean_Chains]
Fp:328 [in additions.Euclidean_Chains]
fq:223 [in additions.Euclidean_Chains]
fq:232 [in additions.Euclidean_Chains]
fq:234 [in additions.Euclidean_Chains]
fq:294 [in additions.Euclidean_Chains]
fq:299 [in additions.Euclidean_Chains]
fq:303 [in additions.Euclidean_Chains]
fq:319 [in additions.Euclidean_Chains]
fq:321 [in additions.Euclidean_Chains]
frec:113 [in hydras.Ackermann.folProp]
frec:74 [in hydras.Ackermann.codeSubFormula]
frec:76 [in hydras.Ackermann.folProp]
frec:98 [in hydras.Ackermann.folProp]
from:16 [in gaia_hydras.GPaths]
from:34 [in gaia_hydras.GPaths]
from:44 [in gaia_hydras.GPaths]
from:47 [in gaia_hydras.GPaths]
from:64 [in hydras.Prelude.MoreVectors]
from:70 [in hydras.Prelude.Sort_spec]
fs:19 [in hydras.MoreAck.AckNotPR]
fs:448 [in Goedel.PRrepresentable]
fs:459 [in Goedel.PRrepresentable]
fs:467 [in Goedel.PRrepresentable]
fs:77 [in hydras.Ackermann.primRec]
fuel:747 [in hydras.Epsilon0.T1]
fuel:87 [in hydras.Epsilon0.Canon]
fuel:94 [in hydras.Epsilon0.Canon]
F_omega_PR:13 [in hydras.Epsilon0.F_omega]
f_Sv:55 [in hydras.Ackermann.PA]
f_0:54 [in hydras.Ackermann.PA]
f_Sv:4 [in hydras.Ackermann.PA]
f_0:3 [in hydras.Ackermann.PA]
f_l:286 [in hydras.rpo.rpo]
f_l:283 [in hydras.rpo.rpo]
f_l:274 [in hydras.rpo.rpo]
f':19 [in gaia_hydras.T1Bridge]
f':22 [in gaia_hydras.T1Bridge]
f':33 [in gaia_hydras.T1Bridge]
f':351 [in hydras.Ackermann.primRec]
f':36 [in gaia_hydras.T1Bridge]
f0:1239 [in hydras.Ackermann.codeSubFormula]
f0:1242 [in hydras.Ackermann.codeSubFormula]
f0:1296 [in hydras.Ackermann.codeSubFormula]
f0:1299 [in hydras.Ackermann.codeSubFormula]
f0:13 [in hydras.Ackermann.PA]
f0:148 [in hydras.Ackermann.codePA]
f0:151 [in hydras.Ackermann.codePA]
f0:158 [in hydras.Ackermann.codePA]
f0:160 [in hydras.Ackermann.codePA]
f0:208 [in hydras.Ackermann.fol]
f0:231 [in hydras.Ackermann.fol]
f0:249 [in hydras.Ackermann.fol]
f0:299 [in hydras.Ackermann.fol]
f0:345 [in hydras.Ackermann.fol]
f0:389 [in hydras.Ackermann.fol]
f0:41 [in hydras.Ackermann.Languages]
f0:42 [in hydras.Ackermann.Languages]
f0:43 [in hydras.Ackermann.Languages]
f0:44 [in hydras.Ackermann.Languages]
f0:441 [in hydras.Ackermann.fol]
f0:45 [in hydras.Ackermann.Languages]
f0:46 [in hydras.Ackermann.Languages]
f0:62 [in hydras.Ackermann.folLogic3]
f1rec:67 [in hydras.Ackermann.codeSubFormula]
f1:109 [in hydras.Ackermann.primRec]
f1:110 [in hydras.Ackermann.folReplace]
f1:112 [in hydras.Ackermann.primRec]
f1:12 [in hydras.Ackermann.folReplace]
f1:140 [in additions.Euclidean_Chains]
f1:144 [in hydras.Ackermann.codeSubFormula]
f1:152 [in hydras.Ackermann.folProp]
f1:17 [in hydras.Ackermann.folReplace]
f1:19 [in additions.Euclidean_Chains]
f1:2 [in hydras.rpo.term]
f1:2 [in hydras.Ackermann.folReplace]
f1:20 [in hydras.Ackermann.folReplace]
f1:200 [in hydras.Ackermann.codeSubFormula]
f1:203 [in hydras.Ackermann.fol]
f1:208 [in hydras.Ackermann.codeSubFormula]
f1:226 [in hydras.Ackermann.fol]
f1:23 [in hydras.Ackermann.folReplace]
f1:232 [in hydras.rpo.term]
f1:244 [in hydras.Ackermann.fol]
f1:244 [in hydras.Gamma0.Gamma0]
f1:246 [in hydras.rpo.term]
f1:26 [in hydras.Ackermann.folReplace]
f1:294 [in hydras.Ackermann.fol]
f1:3 [in hydras.Epsilon0.Epsilon0rpo]
f1:30 [in hydras.Ackermann.folReplace]
f1:34 [in hydras.Ackermann.folReplace]
f1:340 [in hydras.Ackermann.fol]
f1:354 [in hydras.Ackermann.primRec]
f1:368 [in hydras.Ackermann.primRec]
f1:37 [in hydras.Ackermann.subAll]
f1:374 [in hydras.Ackermann.primRec]
f1:384 [in hydras.Ackermann.fol]
f1:386 [in hydras.Ackermann.primRec]
f1:39 [in hydras.Ackermann.folReplace]
f1:392 [in hydras.Ackermann.folProp]
f1:392 [in hydras.Ackermann.primRec]
f1:396 [in hydras.Ackermann.folProp]
f1:399 [in hydras.Ackermann.primRec]
f1:405 [in hydras.Ackermann.folProp]
f1:406 [in hydras.Ackermann.primRec]
f1:409 [in hydras.Ackermann.folProp]
f1:44 [in hydras.Ackermann.folReplace]
f1:49 [in hydras.Ackermann.folReplace]
f1:54 [in hydras.Ackermann.folReplace]
f1:55 [in hydras.rpo.term]
f1:59 [in hydras.Ackermann.folReplace]
f1:64 [in hydras.Ackermann.folReplace]
f1:66 [in hydras.Ackermann.codeSubFormula]
f1:68 [in hydras.Ackermann.folReplace]
f1:7 [in hydras.Ackermann.folReplace]
f1:70 [in hydras.rpo.term]
f1:72 [in hydras.Ackermann.folReplace]
f1:77 [in hydras.Ackermann.folReplace]
f1:80 [in additions.Euclidean_Chains]
f1:82 [in hydras.Ackermann.folReplace]
f1:87 [in hydras.Ackermann.folReplace]
f1:97 [in additions.Euclidean_Chains]
f2rec:69 [in hydras.Ackermann.codeSubFormula]
f2:102 [in hydras.Ackermann.codeSubFormula]
f2:110 [in hydras.Ackermann.primRec]
f2:111 [in hydras.Ackermann.folReplace]
f2:113 [in hydras.Ackermann.primRec]
f2:13 [in hydras.Ackermann.folReplace]
f2:1370 [in hydras.Ackermann.codeSubFormula]
f2:1373 [in hydras.Ackermann.codeSubFormula]
f2:141 [in additions.Euclidean_Chains]
f2:145 [in hydras.Ackermann.codeSubFormula]
f2:153 [in hydras.Ackermann.folProp]
f2:18 [in hydras.Ackermann.folReplace]
f2:20 [in additions.Euclidean_Chains]
f2:201 [in hydras.Ackermann.codeSubFormula]
f2:206 [in hydras.Ackermann.fol]
f2:209 [in hydras.Ackermann.codeSubFormula]
f2:21 [in hydras.Ackermann.folReplace]
f2:229 [in hydras.Ackermann.fol]
f2:233 [in hydras.rpo.term]
f2:24 [in hydras.Ackermann.folReplace]
f2:245 [in hydras.Gamma0.Gamma0]
f2:247 [in hydras.rpo.term]
f2:247 [in hydras.Ackermann.fol]
f2:27 [in hydras.Ackermann.folReplace]
f2:297 [in hydras.Ackermann.fol]
f2:3 [in hydras.rpo.term]
f2:3 [in hydras.Ackermann.folReplace]
f2:31 [in hydras.Ackermann.folReplace]
f2:343 [in hydras.Ackermann.fol]
f2:35 [in hydras.Ackermann.folReplace]
f2:355 [in hydras.Ackermann.primRec]
f2:369 [in hydras.Ackermann.primRec]
f2:375 [in hydras.Ackermann.primRec]
f2:38 [in hydras.Ackermann.subAll]
f2:387 [in hydras.Ackermann.primRec]
f2:387 [in hydras.Ackermann.fol]
f2:393 [in hydras.Ackermann.folProp]
f2:393 [in hydras.Ackermann.primRec]
f2:397 [in hydras.Ackermann.folProp]
f2:4 [in hydras.Epsilon0.Epsilon0rpo]
f2:40 [in hydras.Ackermann.folReplace]
f2:400 [in hydras.Ackermann.primRec]
f2:406 [in hydras.Ackermann.folProp]
f2:407 [in hydras.Ackermann.primRec]
f2:410 [in hydras.Ackermann.folProp]
f2:45 [in hydras.Ackermann.folReplace]
f2:50 [in hydras.Ackermann.folReplace]
f2:55 [in hydras.Ackermann.folReplace]
f2:56 [in hydras.rpo.term]
f2:60 [in hydras.Ackermann.folReplace]
f2:65 [in hydras.Ackermann.folReplace]
f2:68 [in hydras.Ackermann.codeSubFormula]
f2:69 [in hydras.Ackermann.folReplace]
f2:71 [in hydras.rpo.term]
f2:73 [in hydras.Ackermann.folReplace]
f2:78 [in hydras.Ackermann.folReplace]
f2:8 [in hydras.Ackermann.folReplace]
f2:81 [in additions.Euclidean_Chains]
f2:83 [in hydras.Ackermann.folReplace]
f2:88 [in hydras.Ackermann.folReplace]
f2:93 [in hydras.Ackermann.codeSubFormula]
f2:98 [in additions.Euclidean_Chains]
f3:14 [in hydras.Ackermann.folReplace]
f3:146 [in hydras.Ackermann.codeSubFormula]
f3:202 [in hydras.Ackermann.codeSubFormula]
f3:209 [in hydras.Ackermann.fol]
f3:210 [in hydras.Ackermann.codeSubFormula]
f3:232 [in hydras.Ackermann.fol]
f3:250 [in hydras.Ackermann.fol]
f3:300 [in hydras.Ackermann.fol]
f3:346 [in hydras.Ackermann.fol]
f3:356 [in hydras.Ackermann.primRec]
f3:36 [in hydras.Ackermann.folReplace]
f3:370 [in hydras.Ackermann.primRec]
f3:376 [in hydras.Ackermann.primRec]
f3:390 [in hydras.Ackermann.fol]
f3:394 [in hydras.Ackermann.primRec]
f3:4 [in hydras.Ackermann.folReplace]
f3:408 [in hydras.Ackermann.primRec]
f3:41 [in hydras.Ackermann.folReplace]
f3:411 [in hydras.Ackermann.folProp]
f3:46 [in hydras.Ackermann.folReplace]
f3:51 [in hydras.Ackermann.folReplace]
f3:56 [in hydras.Ackermann.folReplace]
f3:61 [in hydras.Ackermann.folReplace]
f3:74 [in hydras.Ackermann.folReplace]
f3:79 [in hydras.Ackermann.folReplace]
f3:84 [in hydras.Ackermann.folReplace]
f3:89 [in hydras.Ackermann.folReplace]
f3:9 [in hydras.Ackermann.folReplace]
f4:10 [in hydras.Ackermann.folReplace]
f4:147 [in hydras.Ackermann.codeSubFormula]
f4:15 [in hydras.Ackermann.folReplace]
f4:203 [in hydras.Ackermann.codeSubFormula]
f4:211 [in hydras.Ackermann.codeSubFormula]
f4:211 [in hydras.Ackermann.fol]
f4:234 [in hydras.Ackermann.fol]
f4:261 [in hydras.Ackermann.fol]
f4:311 [in hydras.Ackermann.fol]
f4:357 [in hydras.Ackermann.fol]
f4:37 [in hydras.Ackermann.folReplace]
f4:377 [in hydras.Ackermann.primRec]
f4:401 [in hydras.Ackermann.fol]
f4:42 [in hydras.Ackermann.folReplace]
f4:47 [in hydras.Ackermann.folReplace]
f4:5 [in hydras.Ackermann.folReplace]
f4:52 [in hydras.Ackermann.folReplace]
f4:57 [in hydras.Ackermann.folReplace]
f4:62 [in hydras.Ackermann.folReplace]
f4:75 [in hydras.Ackermann.folReplace]
f4:80 [in hydras.Ackermann.folReplace]
f4:85 [in hydras.Ackermann.folReplace]
f4:90 [in hydras.Ackermann.folReplace]
f5:148 [in hydras.Ackermann.codeSubFormula]
f5:204 [in hydras.Ackermann.codeSubFormula]
f5:212 [in hydras.Ackermann.codeSubFormula]
f5:215 [in hydras.Ackermann.fol]
f5:238 [in hydras.Ackermann.fol]
f5:270 [in hydras.Ackermann.fol]
f5:320 [in hydras.Ackermann.fol]
f5:366 [in hydras.Ackermann.fol]
f5:410 [in hydras.Ackermann.fol]
f5:91 [in hydras.Ackermann.folReplace]
f6:92 [in hydras.Ackermann.folReplace]
f:1 [in hydras.Ackermann.PAconsistent]
f:1 [in hydras.Ackermann.NN2PA]
f:1 [in hydras.MoreAck.AckNotPR]
f:1 [in hydras.MoreAck.Iterate_compat]
f:1 [in hydras.Ackermann.PA]
f:10 [in hydras.Ackermann.folProof]
f:10 [in hydras.Prelude.DecPreOrder_Instances]
f:10 [in hydras.MoreAck.AckNotPR]
f:10 [in hydras.Epsilon0.Large_Sets]
f:10 [in Goedel.rosserPA]
f:10 [in hydras.Ackermann.wellFormed]
f:10 [in gaia_hydras.GLarge_Sets]
f:10 [in hydras.Ackermann.wConsistent]
f:100 [in hydras.Ackermann.LNN2LNT]
f:100 [in hydras.Ackermann.folLogic]
f:100 [in hydras.Ackermann.folLogic3]
f:1000 [in hydras.Ackermann.codeSubFormula]
f:1001 [in hydras.Ackermann.codeSubFormula]
f:1002 [in hydras.Ackermann.codeSubFormula]
f:1003 [in hydras.Ackermann.codeSubFormula]
f:1006 [in hydras.Ackermann.codeSubFormula]
f:1009 [in hydras.Ackermann.codeSubFormula]
f:101 [in hydras.Ackermann.LNT]
f:101 [in hydras.Ackermann.codePA]
f:1012 [in hydras.Ackermann.codeSubFormula]
f:1015 [in hydras.Ackermann.codeSubFormula]
f:1018 [in hydras.Ackermann.codeSubFormula]
f:102 [in hydras.Ackermann.LNN]
f:102 [in hydras.Ackermann.folReplace]
f:102 [in hydras.Ackermann.codePA]
f:1021 [in hydras.Ackermann.codeSubFormula]
f:1022 [in hydras.Ackermann.codeSubFormula]
f:1023 [in hydras.Ackermann.codeSubFormula]
f:1024 [in hydras.Ackermann.codeSubFormula]
f:1025 [in hydras.Ackermann.codeSubFormula]
f:1026 [in hydras.Ackermann.codeSubFormula]
f:1027 [in hydras.Ackermann.codeSubFormula]
f:1029 [in hydras.Ackermann.codeSubFormula]
f:103 [in hydras.Ackermann.folProp]
f:103 [in hydras.Ackermann.folLogic]
f:103 [in hydras.OrdinalNotations.ON_Generic]
f:103 [in gaia_hydras.nfwfgaia]
f:103 [in hydras.Ackermann.codePA]
f:1031 [in hydras.Ackermann.codeSubFormula]
f:1033 [in hydras.Ackermann.codeSubFormula]
f:1035 [in hydras.Ackermann.codeSubFormula]
f:1037 [in hydras.Ackermann.codeSubFormula]
f:1039 [in hydras.Ackermann.codeSubFormula]
f:104 [in hydras.Prelude.Iterates]
f:104 [in hydras.Ackermann.LNN]
f:104 [in hydras.Ackermann.LNT]
f:104 [in hydras.rpo.rpo]
f:1041 [in hydras.Ackermann.codeSubFormula]
f:1043 [in hydras.Ackermann.codeSubFormula]
f:1045 [in hydras.Ackermann.codeSubFormula]
f:1047 [in hydras.Ackermann.codeSubFormula]
f:105 [in hydras.Ackermann.codePA]
f:1050 [in hydras.Ackermann.codeSubFormula]
f:1053 [in hydras.Ackermann.codeSubFormula]
f:1056 [in hydras.Ackermann.codeSubFormula]
f:1059 [in hydras.Ackermann.codeSubFormula]
f:106 [in hydras.Ackermann.folLogic]
f:1062 [in hydras.Ackermann.codeSubFormula]
f:1065 [in hydras.Ackermann.codeSubFormula]
f:1068 [in hydras.Ackermann.codeSubFormula]
f:107 [in hydras.Ackermann.LNN]
f:107 [in hydras.Ackermann.LNT]
f:107 [in hydras.Ackermann.folReplace]
f:107 [in hydras.Ackermann.codePA]
f:1071 [in hydras.Ackermann.codeSubFormula]
f:1073 [in hydras.Ackermann.codeSubFormula]
f:1075 [in hydras.Ackermann.codeSubFormula]
f:1077 [in hydras.Ackermann.codeSubFormula]
f:1079 [in hydras.Ackermann.codeSubFormula]
f:108 [in hydras.Prelude.Iterates]
f:108 [in hydras.Ackermann.folLogic]
f:1081 [in hydras.Ackermann.codeSubFormula]
f:1083 [in hydras.Ackermann.codeSubFormula]
f:1084 [in hydras.Ackermann.codeSubFormula]
f:1085 [in hydras.Ackermann.codeSubFormula]
f:1086 [in hydras.Ackermann.codeSubFormula]
f:1087 [in hydras.Ackermann.codeSubFormula]
f:1088 [in hydras.Ackermann.codeSubFormula]
f:1089 [in hydras.Ackermann.codeSubFormula]
f:109 [in Goedel.rosserPA]
f:109 [in hydras.Ackermann.fol]
f:109 [in hydras.Ackermann.codePA]
f:1090 [in hydras.Ackermann.codeSubFormula]
f:1091 [in hydras.Ackermann.codeSubFormula]
f:1093 [in hydras.Ackermann.codeSubFormula]
f:1095 [in hydras.Ackermann.codeSubFormula]
f:1097 [in hydras.Ackermann.codeSubFormula]
f:1099 [in hydras.Ackermann.codeSubFormula]
f:11 [in hydras.Prelude.Iterates]
f:11 [in hydras.Ackermann.checkPrf]
f:11 [in hydras.Ackermann.fol]
f:11 [in hydras.Ackermann.folLogic]
f:11 [in Goedel.codeSysPrf]
f:110 [in hydras.rpo.term]
f:110 [in hydras.Ackermann.LNN]
f:110 [in hydras.Ackermann.LNT]
f:110 [in hydras.Ackermann.folProp]
f:110 [in Goedel.rosserPA]
f:1101 [in hydras.Ackermann.codeSubFormula]
f:1103 [in hydras.Ackermann.codeSubFormula]
f:1105 [in hydras.Ackermann.codeSubFormula]
f:1107 [in hydras.Ackermann.codeSubFormula]
f:1109 [in hydras.Ackermann.codeSubFormula]
f:111 [in hydras.Ackermann.codePA]
f:111 [in hydras.rpo.rpo]
f:1111 [in hydras.Ackermann.codeSubFormula]
f:1112 [in hydras.Ackermann.codeSubFormula]
f:1113 [in hydras.Ackermann.codeSubFormula]
f:1114 [in hydras.Ackermann.codeSubFormula]
f:1115 [in hydras.Ackermann.codeSubFormula]
f:1116 [in hydras.Ackermann.codeSubFormula]
f:1117 [in hydras.Ackermann.codeSubFormula]
f:1119 [in hydras.Ackermann.codeSubFormula]
f:112 [in Goedel.rosserPA]
f:112 [in hydras.Ackermann.folLogic]
f:1121 [in hydras.Ackermann.codeSubFormula]
f:1123 [in hydras.Ackermann.codeSubFormula]
f:1125 [in hydras.Ackermann.codeSubFormula]
f:1127 [in hydras.Ackermann.codeSubFormula]
f:1129 [in hydras.Ackermann.codeSubFormula]
f:113 [in hydras.Prelude.Iterates]
f:113 [in hydras.Ackermann.LNN2LNT]
f:113 [in hydras.Ackermann.LNN]
f:113 [in hydras.Ackermann.LNT]
f:113 [in hydras.Ackermann.codePA]
f:1131 [in hydras.Ackermann.codeSubFormula]
f:1133 [in hydras.Ackermann.codeSubFormula]
f:1135 [in hydras.Ackermann.codeSubFormula]
f:1137 [in hydras.Ackermann.codeSubFormula]
f:1139 [in hydras.Ackermann.codeSubFormula]
f:114 [in hydras.Ackermann.subAll]
f:114 [in hydras.Ackermann.LNN2LNT]
f:1141 [in hydras.Ackermann.codeSubFormula]
f:1143 [in hydras.Ackermann.codeSubFormula]
f:1145 [in hydras.Ackermann.codeSubFormula]
f:1146 [in hydras.Ackermann.codeSubFormula]
f:1147 [in hydras.Ackermann.codeSubFormula]
f:1148 [in hydras.Ackermann.codeSubFormula]
f:1149 [in hydras.Ackermann.codeSubFormula]
f:115 [in hydras.Ackermann.folLogic]
f:115 [in hydras.Ackermann.codePA]
f:1150 [in hydras.Ackermann.codeSubFormula]
f:1151 [in hydras.Ackermann.codeSubFormula]
f:1152 [in hydras.Ackermann.codeSubFormula]
f:1153 [in hydras.Ackermann.codeSubFormula]
f:1155 [in hydras.Ackermann.codeSubFormula]
f:1157 [in hydras.Ackermann.codeSubFormula]
f:1159 [in hydras.Ackermann.codeSubFormula]
f:116 [in hydras.Ackermann.LNN]
f:116 [in hydras.Ackermann.LNT]
f:116 [in hydras.Ackermann.codeSubFormula]
f:116 [in hydras.Ackermann.fol]
f:116 [in hydras.OrdinalNotations.ON_Generic]
f:116 [in hydras.Ackermann.codePA]
f:1161 [in hydras.Ackermann.codeSubFormula]
f:1162 [in hydras.Ackermann.codeSubFormula]
f:1163 [in hydras.Ackermann.codeSubFormula]
f:1164 [in hydras.Ackermann.codeSubFormula]
f:1165 [in hydras.Ackermann.codeSubFormula]
f:1166 [in hydras.Ackermann.codeSubFormula]
f:1167 [in hydras.Ackermann.codeSubFormula]
f:1168 [in hydras.Ackermann.codeSubFormula]
f:1169 [in hydras.Ackermann.codeSubFormula]
f:117 [in hydras.Ackermann.codePA]
f:1171 [in hydras.Ackermann.codeSubFormula]
f:1173 [in hydras.Ackermann.codeSubFormula]
f:1175 [in hydras.Ackermann.codeSubFormula]
f:1177 [in hydras.Ackermann.codeSubFormula]
f:1179 [in hydras.Ackermann.codeSubFormula]
f:118 [in hydras.Ackermann.LNT]
f:118 [in hydras.Ackermann.folLogic]
f:118 [in hydras.Ackermann.codePA]
f:118 [in hydras.rpo.rpo]
f:1181 [in hydras.Ackermann.codeSubFormula]
f:1183 [in hydras.Ackermann.codeSubFormula]
f:1185 [in hydras.Ackermann.codeSubFormula]
f:1187 [in hydras.Ackermann.codeSubFormula]
f:1189 [in hydras.Ackermann.codeSubFormula]
f:119 [in hydras.Prelude.Iterates]
f:119 [in hydras.Ackermann.LNN2LNT]
f:119 [in hydras.Ackermann.LNN]
f:119 [in hydras.Ackermann.codeSubFormula]
f:119 [in hydras.Ackermann.codePA]
f:1191 [in hydras.Ackermann.codeSubFormula]
f:1193 [in hydras.Ackermann.codeSubFormula]
f:1195 [in hydras.Ackermann.codeSubFormula]
f:1197 [in hydras.Ackermann.codeSubFormula]
f:1198 [in hydras.Ackermann.codeSubFormula]
f:1199 [in hydras.Ackermann.codeSubFormula]
f:12 [in hydras.Ackermann.folProof]
f:12 [in hydras.solutions_exercises.MinPR2]
f:12 [in hydras.Ackermann.model]
f:12 [in hydras.Ackermann.PA]
f:12 [in Goedel.goedel1]
f:12 [in hydras.Ackermann.codePA]
f:12 [in Goedel.goedel2]
f:12 [in hydras.MoreAck.PrimRecExamples]
f:120 [in hydras.rpo.term]
f:120 [in hydras.Ackermann.folLogic]
f:1201 [in hydras.Ackermann.codeSubFormula]
f:1203 [in hydras.Ackermann.codeSubFormula]
f:1205 [in hydras.Ackermann.codeSubFormula]
f:1207 [in hydras.Ackermann.codeSubFormula]
f:1208 [in hydras.Ackermann.codeSubFormula]
f:121 [in hydras.Ackermann.LNN]
f:121 [in hydras.Ackermann.codePA]
f:122 [in hydras.Ackermann.LNT]
f:122 [in hydras.Ackermann.codeSubFormula]
f:122 [in hydras.Ackermann.primRec]
f:1220 [in hydras.Ackermann.codeSubFormula]
f:1223 [in hydras.Ackermann.codeSubFormula]
f:123 [in hydras.Prelude.Iterates]
f:123 [in hydras.Ackermann.folLogic]
f:123 [in hydras.Ackermann.codePA]
f:1232 [in hydras.Ackermann.codeSubFormula]
f:1235 [in hydras.Ackermann.codeSubFormula]
f:124 [in hydras.rpo.more_list]
f:124 [in hydras.rpo.rpo]
f:125 [in hydras.Ackermann.LNN2LNT]
f:125 [in hydras.Ackermann.LNN]
f:125 [in hydras.Ackermann.LNT]
f:125 [in hydras.Ackermann.codePA]
f:1256 [in hydras.Ackermann.codeSubFormula]
f:126 [in hydras.Prelude.Iterates]
f:127 [in hydras.Ackermann.primRec]
f:127 [in hydras.Ackermann.folLogic]
f:127 [in hydras.Schutte.Ordering_Functions]
f:127 [in hydras.Ackermann.codePA]
f:128 [in hydras.Prelude.Iterates]
f:128 [in hydras.Ackermann.LNN]
f:128 [in hydras.Ackermann.LNT]
f:129 [in hydras.Ackermann.codePA]
f:1293 [in hydras.Ackermann.codeSubFormula]
f:13 [in hydras.Ackermann.folProof]
f:13 [in hydras.Epsilon0.Epsilon0rpo]
f:13 [in hydras.rpo.more_list]
f:13 [in hydras.Ackermann.LNT]
f:13 [in hydras.Epsilon0.Large_Sets]
f:13 [in Goedel.rosserPA]
f:13 [in gaia_hydras.onType]
f:13 [in Goedel.goedel1]
f:13 [in hydras.Ackermann.Languages]
f:13 [in Goedel.goedel2]
f:130 [in hydras.Ackermann.codeFreeVar]
f:130 [in hydras.Ackermann.LNT]
f:131 [in hydras.Prelude.Iterates]
f:131 [in hydras.Ackermann.LNN]
f:131 [in hydras.Ackermann.codeSubFormula]
f:131 [in hydras.Ackermann.codePA]
f:132 [in hydras.Ackermann.codeFreeVar]
f:132 [in hydras.Ackermann.codePA]
f:133 [in hydras.Ackermann.codeFreeVar]
f:133 [in hydras.Ackermann.LNN]
f:133 [in hydras.Ackermann.LNT]
f:133 [in hydras.Ackermann.folProp]
f:133 [in hydras.Ackermann.subProp]
f:133 [in hydras.Ackermann.fol]
f:133 [in hydras.Ackermann.codePA]
f:134 [in hydras.Ackermann.fol]
f:134 [in hydras.Ackermann.codePA]
f:135 [in hydras.Ackermann.codeFreeVar]
f:135 [in hydras.Ackermann.codePA]
f:136 [in hydras.Ackermann.LNN]
f:136 [in hydras.Ackermann.codePA]
f:136 [in hydras.rpo.rpo]
f:1366 [in hydras.Ackermann.codeSubFormula]
f:137 [in hydras.Ackermann.folProp]
f:137 [in hydras.Ackermann.subProp]
f:137 [in hydras.Ackermann.codePA]
f:1376 [in hydras.Ackermann.codeSubFormula]
f:1379 [in hydras.Ackermann.codeSubFormula]
f:138 [in hydras.Ackermann.LNN2LNT]
f:138 [in hydras.Ackermann.codePA]
f:1387 [in gaia_hydras.nfwfgaia]
f:139 [in hydras.Ackermann.LNN2LNT]
f:139 [in hydras.Ackermann.folProp]
f:139 [in additions.Euclidean_Chains]
f:139 [in hydras.Ackermann.codePA]
f:1396 [in hydras.Ackermann.codeSubFormula]
f:1396 [in gaia_hydras.nfwfgaia]
f:1399 [in hydras.Ackermann.codeSubFormula]
f:14 [in hydras.Ackermann.PA]
f:14 [in hydras.Ackermann.folLogic]
f:14 [in Goedel.goedel1]
f:14 [in hydras.Ackermann.Languages]
f:14 [in hydras.Schutte.Addition]
f:14 [in Goedel.goedel2]
f:140 [in hydras.Ackermann.LNN2LNT]
f:140 [in hydras.rpo.rpo]
f:1404 [in hydras.Ackermann.codeSubFormula]
f:141 [in hydras.Prelude.Iterates]
f:141 [in hydras.Ackermann.folProp]
f:1410 [in hydras.Ackermann.codeSubFormula]
f:1417 [in hydras.Ackermann.codeSubFormula]
f:142 [in hydras.OrdinalNotations.ON_Generic]
f:142 [in hydras.Ackermann.codePA]
f:1422 [in hydras.Ackermann.codeSubFormula]
f:1427 [in hydras.Ackermann.codeSubFormula]
f:143 [in hydras.Ackermann.model]
f:143 [in hydras.Ackermann.codePA]
f:1430 [in hydras.Ackermann.codeSubFormula]
f:1433 [in hydras.Ackermann.codeSubFormula]
f:1436 [in hydras.Ackermann.codeSubFormula]
f:1439 [in hydras.Ackermann.codeSubFormula]
f:144 [in hydras.Ackermann.LNN2LNT]
f:1442 [in hydras.Ackermann.codeSubFormula]
f:1445 [in hydras.Ackermann.codeSubFormula]
f:1448 [in hydras.Ackermann.codeSubFormula]
f:145 [in hydras.rpo.rpo]
f:1451 [in hydras.Ackermann.codeSubFormula]
f:1454 [in hydras.Ackermann.codeSubFormula]
f:1457 [in hydras.Ackermann.codeSubFormula]
f:146 [in hydras.Schutte.Ordering_Functions]
f:1460 [in hydras.Ackermann.codeSubFormula]
f:1463 [in hydras.Ackermann.codeSubFormula]
f:1466 [in hydras.Ackermann.codeSubFormula]
f:1469 [in hydras.Ackermann.codeSubFormula]
f:147 [in hydras.Ackermann.codeFreeVar]
f:147 [in hydras.Ackermann.model]
f:147 [in hydras.Hydra.Hydra_Lemmas]
f:1472 [in hydras.Ackermann.codeSubFormula]
f:1475 [in hydras.Ackermann.codeSubFormula]
f:1478 [in hydras.Ackermann.codeSubFormula]
f:148 [in hydras.Schutte.Ordering_Functions]
f:1481 [in hydras.Ackermann.codeSubFormula]
f:1484 [in hydras.Ackermann.codeSubFormula]
f:1487 [in hydras.Ackermann.codeSubFormula]
f:149 [in hydras.Ackermann.codeFreeVar]
f:149 [in hydras.Schutte.Ordering_Functions]
f:149 [in hydras.rpo.rpo]
f:1490 [in hydras.Ackermann.codeSubFormula]
f:1493 [in hydras.Ackermann.codeSubFormula]
f:1496 [in hydras.Ackermann.codeSubFormula]
f:1499 [in hydras.Ackermann.codeSubFormula]
f:15 [in hydras.Ackermann.folProof]
f:15 [in additions.Euclidean_Chains]
f:15 [in Goedel.goedel1]
f:15 [in hydras.Ackermann.codePA]
f:15 [in hydras.Ackermann.expressible]
f:150 [in hydras.Ackermann.model]
f:150 [in hydras.Hydra.Hydra_Lemmas]
f:1502 [in hydras.Ackermann.codeSubFormula]
f:1505 [in hydras.Ackermann.codeSubFormula]
f:1508 [in hydras.Ackermann.codeSubFormula]
f:151 [in hydras.Prelude.Iterates]
f:151 [in hydras.Ackermann.codeFreeVar]
f:1511 [in hydras.Ackermann.codeSubFormula]
f:1513 [in hydras.Ackermann.codeSubFormula]
f:1515 [in hydras.Ackermann.codeSubFormula]
f:1518 [in hydras.Ackermann.codeSubFormula]
f:1521 [in hydras.Ackermann.codeSubFormula]
f:1524 [in hydras.Ackermann.codeSubFormula]
f:1527 [in hydras.Ackermann.codeSubFormula]
f:153 [in hydras.Ackermann.codeFreeVar]
f:153 [in hydras.Ackermann.model]
f:1530 [in hydras.Ackermann.codeSubFormula]
f:1533 [in hydras.Ackermann.codeSubFormula]
f:1536 [in hydras.Ackermann.codeSubFormula]
f:1539 [in hydras.Ackermann.codeSubFormula]
f:154 [in hydras.Ackermann.model]
f:1542 [in hydras.Ackermann.codeSubFormula]
f:1545 [in hydras.Ackermann.codeSubFormula]
f:1548 [in hydras.Ackermann.codeSubFormula]
f:155 [in hydras.Ackermann.codeFreeVar]
f:155 [in hydras.Ackermann.model]
f:155 [in hydras.OrdinalNotations.ON_Generic]
f:1551 [in hydras.Ackermann.codeSubFormula]
f:1554 [in hydras.Ackermann.codeSubFormula]
f:1557 [in hydras.Ackermann.codeSubFormula]
f:156 [in hydras.Ackermann.subProp]
f:156 [in hydras.Prelude.Merge_Sort]
f:1560 [in hydras.Ackermann.codeSubFormula]
f:1563 [in hydras.Ackermann.codeSubFormula]
f:1566 [in hydras.Ackermann.codeSubFormula]
f:157 [in hydras.Ackermann.codeFreeVar]
f:159 [in hydras.Ackermann.codeFreeVar]
f:16 [in hydras.Ackermann.LNN]
f:16 [in hydras.Ackermann.LNT]
f:16 [in hydras.Ackermann.folProp]
f:160 [in hydras.Prelude.Iterates]
f:160 [in hydras.Ackermann.subProp]
f:161 [in hydras.Ackermann.codeFreeVar]
f:162 [in hydras.Ackermann.codePA]
f:163 [in hydras.Ackermann.codeFreeVar]
f:165 [in hydras.Ackermann.codeFreeVar]
f:165 [in hydras.Ackermann.subProp]
f:165 [in hydras.Ackermann.cPair]
f:165 [in hydras.Ackermann.codePA]
f:166 [in hydras.Ackermann.model]
f:166 [in hydras.Ackermann.codePA]
f:167 [in hydras.Ackermann.codeFreeVar]
f:167 [in hydras.OrdinalNotations.ON_Generic]
f:167 [in hydras.Ackermann.codePA]
f:168 [in hydras.rpo.term]
f:169 [in hydras.Ackermann.codeFreeVar]
f:169 [in hydras.Ackermann.cPair]
f:17 [in hydras.Prelude.DecPreOrder_Instances]
f:17 [in hydras.rpo.more_list]
f:17 [in hydras.Ackermann.folLogic]
f:17 [in hydras.Ackermann.expressible]
f:170 [in hydras.Prelude.Iterates]
f:170 [in hydras.Ackermann.codePA]
f:171 [in hydras.Prelude.Iterates]
f:173 [in hydras.Prelude.Iterates]
f:173 [in hydras.Ackermann.codeFreeVar]
f:173 [in hydras.Ackermann.cPair]
f:173 [in hydras.Ackermann.codePA]
f:174 [in gaia_hydras.T1Bridge]
f:174 [in hydras.Ackermann.codePA]
f:175 [in hydras.Ackermann.codeFreeVar]
f:175 [in hydras.Schutte.Ordering_Functions]
f:175 [in hydras.Ackermann.codePA]
f:176 [in hydras.Ackermann.codePA]
f:177 [in hydras.Ackermann.codeFreeVar]
f:177 [in hydras.Ackermann.codePA]
f:178 [in hydras.Schutte.Ordering_Functions]
f:178 [in hydras.Ackermann.codePA]
f:179 [in hydras.Ackermann.codeFreeVar]
f:179 [in gaia_hydras.T1Bridge]
f:179 [in hydras.OrdinalNotations.ON_Generic]
f:179 [in hydras.Ackermann.codePA]
f:18 [in hydras.Prelude.Iterates]
f:18 [in hydras.Ackermann.LNT]
f:18 [in hydras.Schutte.Critical]
f:18 [in gaia_hydras.T1Bridge]
f:18 [in gaia_hydras.GL_alpha]
f:18 [in hydras.Ackermann.Languages]
f:18 [in Goedel.goedel2]
f:180 [in hydras.Ackermann.codePA]
f:181 [in hydras.Ackermann.codeFreeVar]
f:181 [in hydras.Schutte.Ordering_Functions]
f:181 [in hydras.Ackermann.codePA]
f:182 [in gaia_hydras.T1Bridge]
f:182 [in hydras.Ackermann.codePA]
f:183 [in hydras.Ackermann.codeFreeVar]
f:183 [in hydras.Schutte.Ordering_Functions]
f:183 [in hydras.Ackermann.codePA]
f:184 [in hydras.Prelude.Iterates]
f:184 [in hydras.Ackermann.codePA]
f:1845 [in gaia_hydras.nfwfgaia]
f:185 [in gaia_hydras.T1Bridge]
f:185 [in hydras.Ackermann.codePA]
f:1852 [in gaia_hydras.nfwfgaia]
f:186 [in hydras.Ackermann.codePA]
f:1861 [in gaia_hydras.nfwfgaia]
f:1863 [in gaia_hydras.nfwfgaia]
f:1867 [in gaia_hydras.nfwfgaia]
f:187 [in hydras.Ackermann.codeFreeVar]
f:187 [in gaia_hydras.T1Bridge]
f:187 [in hydras.Ackermann.wellFormed]
f:187 [in hydras.Ackermann.codePA]
f:1871 [in gaia_hydras.nfwfgaia]
f:1872 [in gaia_hydras.nfwfgaia]
f:1876 [in gaia_hydras.nfwfgaia]
f:188 [in hydras.Ackermann.codePA]
f:189 [in hydras.Ackermann.subAll]
f:189 [in hydras.Ackermann.codeFreeVar]
f:189 [in hydras.Ackermann.cPair]
f:189 [in hydras.Ackermann.wellFormed]
f:189 [in hydras.Ackermann.codePA]
f:19 [in hydras.Epsilon0.Epsilon0rpo]
f:19 [in hydras.Ackermann.LNN]
f:19 [in hydras.Ackermann.checkPrf]
f:19 [in hydras.Ackermann.PA]
f:19 [in gaia_hydras.GL_alpha]
f:190 [in hydras.Ackermann.wellFormed]
f:190 [in hydras.Ackermann.codePA]
f:191 [in hydras.Prelude.Iterates]
f:191 [in hydras.Ackermann.codeFreeVar]
f:191 [in hydras.Ackermann.codePA]
f:192 [in hydras.Ackermann.wellFormed]
f:192 [in hydras.OrdinalNotations.ON_Generic]
f:192 [in hydras.Ackermann.codePA]
f:193 [in hydras.Ackermann.codeFreeVar]
f:193 [in hydras.Ackermann.codePA]
f:194 [in hydras.Ackermann.codePA]
f:195 [in hydras.Ackermann.codeFreeVar]
f:195 [in hydras.Ackermann.wellFormed]
f:195 [in hydras.Ackermann.codePA]
f:1950 [in gaia_hydras.nfwfgaia]
f:1956 [in gaia_hydras.nfwfgaia]
f:196 [in hydras.Ackermann.codePA]
f:1963 [in gaia_hydras.nfwfgaia]
f:1968 [in gaia_hydras.nfwfgaia]
f:197 [in hydras.Ackermann.codeFreeVar]
f:197 [in hydras.Ackermann.codePA]
f:1974 [in gaia_hydras.nfwfgaia]
f:198 [in hydras.Ackermann.wellFormed]
f:198 [in hydras.Ackermann.codePA]
f:1980 [in gaia_hydras.nfwfgaia]
f:1985 [in gaia_hydras.nfwfgaia]
f:199 [in hydras.Ackermann.codePA]
f:1991 [in gaia_hydras.nfwfgaia]
f:1996 [in gaia_hydras.nfwfgaia]
F:2 [in hydras.MoreAck.BadSubst]
f:2 [in hydras.Prelude.Iterates]
f:2 [in hydras.Ackermann.wConsistent]
f:20 [in hydras.Ackermann.model]
f:20 [in Goedel.rosserPA]
f:20 [in hydras.Ackermann.folLogic]
f:20 [in hydras.Schutte.Ordering_Functions]
f:200 [in hydras.Prelude.Iterates]
f:200 [in hydras.Ackermann.codePA]
f:2002 [in gaia_hydras.nfwfgaia]
f:2005 [in gaia_hydras.nfwfgaia]
f:2009 [in gaia_hydras.nfwfgaia]
f:201 [in hydras.Ackermann.codeFreeVar]
f:201 [in hydras.Ackermann.wellFormed]
f:201 [in hydras.Ackermann.codePA]
f:202 [in hydras.Ackermann.codeFreeVar]
f:202 [in hydras.Ackermann.cPair]
f:202 [in hydras.Ackermann.wellFormed]
f:202 [in hydras.Ackermann.codePA]
f:203 [in hydras.Ackermann.codeFreeVar]
f:203 [in hydras.Ackermann.codePA]
f:204 [in hydras.Ackermann.wellFormed]
f:204 [in hydras.Ackermann.codePA]
f:205 [in hydras.Ackermann.codeFreeVar]
f:205 [in hydras.Ackermann.codePA]
f:206 [in hydras.rpo.more_list]
f:206 [in hydras.Ackermann.cPair]
f:206 [in hydras.Ackermann.wellFormed]
f:206 [in hydras.OrdinalNotations.ON_Generic]
f:206 [in hydras.Ackermann.codePA]
f:207 [in hydras.Ackermann.codeFreeVar]
f:207 [in hydras.Ackermann.fol]
f:207 [in hydras.Ackermann.codePA]
f:208 [in hydras.Ackermann.wellFormed]
f:208 [in hydras.Ackermann.codePA]
f:2088 [in gaia_hydras.nfwfgaia]
f:209 [in hydras.Ackermann.codeFreeVar]
f:209 [in hydras.Ackermann.cPair]
f:209 [in hydras.Ackermann.codePA]
f:2094 [in gaia_hydras.nfwfgaia]
f:2099 [in gaia_hydras.nfwfgaia]
f:21 [in hydras.Prelude.Iterates]
f:21 [in hydras.Ackermann.LNN]
f:21 [in hydras.Ackermann.LNT]
f:21 [in hydras.Ackermann.subProp]
f:21 [in gaia_hydras.T1Bridge]
f:21 [in Goedel.rosserPA]
f:21 [in hydras.Ackermann.expressible]
f:210 [in hydras.Ackermann.wellFormed]
f:210 [in hydras.Ackermann.fol]
f:210 [in hydras.Ackermann.codePA]
f:2105 [in gaia_hydras.nfwfgaia]
f:2107 [in gaia_hydras.nfwfgaia]
f:211 [in hydras.Ackermann.codeFreeVar]
f:211 [in hydras.Ackermann.cPair]
f:211 [in hydras.Ackermann.codePA]
f:212 [in hydras.Ackermann.codeFreeVar]
f:212 [in hydras.Ackermann.wellFormed]
f:212 [in hydras.Ackermann.codePA]
f:213 [in hydras.Ackermann.codeFreeVar]
f:213 [in hydras.Ackermann.codePA]
f:214 [in hydras.Ackermann.wellFormed]
f:214 [in hydras.Ackermann.codePA]
f:215 [in hydras.Ackermann.codeFreeVar]
f:215 [in hydras.Ackermann.codePA]
f:216 [in hydras.rpo.term]
f:216 [in hydras.rpo.more_list]
f:216 [in hydras.Ackermann.cPair]
f:216 [in hydras.Ackermann.wellFormed]
f:216 [in hydras.Ackermann.codePA]
f:217 [in hydras.Ackermann.codeFreeVar]
f:217 [in hydras.Ackermann.codePA]
f:218 [in hydras.Ackermann.wellFormed]
f:218 [in hydras.Ackermann.codePA]
f:219 [in hydras.Ackermann.codeFreeVar]
f:219 [in hydras.Ackermann.codePA]
f:22 [in hydras.rpo.more_list]
f:22 [in hydras.Ackermann.PA]
f:22 [in hydras.Ackermann.folLogic]
f:22 [in gaia_hydras.GL_alpha]
f:22 [in Goedel.goedel2]
f:220 [in hydras.Ackermann.wellFormed]
f:220 [in hydras.Ackermann.codePA]
f:221 [in hydras.rpo.term]
f:221 [in hydras.Ackermann.codeFreeVar]
f:221 [in hydras.Ackermann.codePA]
f:222 [in hydras.Prelude.Iterates]
f:222 [in hydras.Ackermann.codeFreeVar]
f:222 [in hydras.Ackermann.wellFormed]
f:222 [in hydras.Ackermann.codePA]
f:223 [in hydras.Ackermann.codeFreeVar]
f:223 [in hydras.Ackermann.model]
f:223 [in hydras.Ackermann.codePA]
f:224 [in hydras.Ackermann.codeFreeVar]
f:224 [in hydras.Ackermann.wellFormed]
f:224 [in hydras.Ackermann.codePA]
f:225 [in hydras.Ackermann.codeFreeVar]
f:225 [in hydras.Ackermann.codePA]
f:226 [in hydras.Ackermann.codeFreeVar]
f:226 [in hydras.rpo.more_list]
f:226 [in hydras.Ackermann.wellFormed]
f:226 [in hydras.Ackermann.codePA]
f:227 [in hydras.Ackermann.subAll]
f:227 [in hydras.Ackermann.codeFreeVar]
f:227 [in hydras.Ackermann.codePA]
f:228 [in hydras.Ackermann.codeFreeVar]
f:228 [in hydras.Ackermann.wellFormed]
f:228 [in hydras.Ackermann.codePA]
f:229 [in hydras.Ackermann.codeFreeVar]
f:23 [in hydras.MoreAck.AckNotPR]
f:230 [in hydras.Ackermann.wellFormed]
f:230 [in hydras.Ackermann.fol]
f:231 [in hydras.Ackermann.codeFreeVar]
f:231 [in hydras.Ackermann.codePA]
f:232 [in hydras.Ackermann.folProp]
f:232 [in hydras.Ackermann.wellFormed]
f:233 [in hydras.Ackermann.codeFreeVar]
f:233 [in hydras.Ackermann.fol]
f:234 [in hydras.Ackermann.codePA]
f:235 [in hydras.Ackermann.codeFreeVar]
f:235 [in hydras.Ackermann.wellFormed]
f:235 [in hydras.Ackermann.codePA]
f:236 [in hydras.Prelude.Iterates]
f:236 [in hydras.Ackermann.codePA]
f:237 [in hydras.Ackermann.codeFreeVar]
f:237 [in hydras.Ackermann.codePA]
f:238 [in hydras.Ackermann.codeFreeVar]
f:238 [in hydras.Ackermann.wellFormed]
f:239 [in hydras.Ackermann.codeFreeVar]
f:24 [in hydras.Ackermann.LNN]
f:24 [in hydras.Ackermann.LNT]
f:24 [in hydras.Ackermann.folLogic]
f:24 [in Goedel.goedel1]
f:24 [in hydras.Schutte.Ordering_Functions]
f:24 [in hydras.Ackermann.codePA]
f:24 [in Goedel.goedel2]
f:240 [in hydras.Ackermann.codeFreeVar]
f:240 [in additions.Euclidean_Chains]
f:240 [in hydras.Ackermann.wellFormed]
f:241 [in hydras.Prelude.Iterates]
f:241 [in hydras.Ackermann.codeFreeVar]
f:242 [in hydras.Ackermann.codeFreeVar]
f:242 [in hydras.Ackermann.wellFormed]
f:243 [in hydras.Ackermann.codeFreeVar]
f:243 [in hydras.rpo.more_list]
f:244 [in hydras.Ackermann.cPair]
f:244 [in hydras.Ackermann.wellFormed]
f:245 [in hydras.Prelude.Iterates]
f:245 [in hydras.Ackermann.codeFreeVar]
f:246 [in hydras.Ackermann.wellFormed]
f:247 [in hydras.Ackermann.codeFreeVar]
f:248 [in hydras.Ackermann.wellFormed]
f:248 [in hydras.Ackermann.fol]
f:248 [in hydras.Gamma0.Gamma0]
f:249 [in hydras.Prelude.Iterates]
f:249 [in hydras.Ackermann.codeFreeVar]
f:249 [in hydras.Ackermann.wellFormed]
f:25 [in hydras.Prelude.Iterates]
f:25 [in hydras.Ackermann.folLogic2]
f:25 [in additions.Euclidean_Chains]
f:25 [in gaia_hydras.GL_alpha]
f:25 [in hydras.Ackermann.expressible]
f:250 [in hydras.Ackermann.wellFormed]
f:251 [in hydras.Ackermann.subAll]
f:251 [in hydras.Ackermann.codeFreeVar]
f:251 [in hydras.Ackermann.wellFormed]
f:251 [in hydras.Ackermann.fol]
f:252 [in hydras.Ackermann.wellFormed]
f:253 [in hydras.Ackermann.codeFreeVar]
f:253 [in hydras.rpo.more_list]
f:253 [in hydras.Ackermann.wellFormed]
f:254 [in hydras.Ackermann.wellFormed]
f:254 [in hydras.Gamma0.Gamma0]
f:255 [in hydras.Ackermann.subAll]
f:255 [in hydras.Ackermann.codeFreeVar]
f:256 [in hydras.Ackermann.wellFormed]
f:257 [in hydras.Ackermann.codeFreeVar]
f:258 [in hydras.Ackermann.wellFormed]
f:259 [in hydras.Ackermann.codeFreeVar]
f:26 [in Goedel.codeSysPrf]
f:26 [in gaia_hydras.nfwfgaia]
f:26 [in hydras.Ackermann.Languages]
f:260 [in hydras.Ackermann.codeFreeVar]
f:260 [in hydras.Ackermann.wellFormed]
f:260 [in hydras.Ackermann.fol]
f:260 [in hydras.Gamma0.Gamma0]
f:261 [in hydras.Ackermann.codeFreeVar]
f:262 [in hydras.Ackermann.codeFreeVar]
f:262 [in hydras.Ackermann.wellFormed]
f:262 [in hydras.Ackermann.fol]
f:263 [in hydras.Ackermann.codeFreeVar]
f:264 [in hydras.Ackermann.codeFreeVar]
f:264 [in hydras.Ackermann.wellFormed]
f:265 [in hydras.Ackermann.codeFreeVar]
f:265 [in hydras.rpo.more_list]
f:266 [in hydras.Ackermann.codeFreeVar]
f:266 [in hydras.Ackermann.wellFormed]
f:267 [in hydras.Ackermann.codeFreeVar]
f:268 [in hydras.Ackermann.wellFormed]
f:269 [in hydras.Ackermann.codeFreeVar]
f:27 [in hydras.rpo.more_list]
f:27 [in hydras.Ackermann.LNN]
f:27 [in hydras.Ackermann.LNT]
f:27 [in additions.Euclidean_Chains]
f:27 [in hydras.Ackermann.folLogic]
f:27 [in Goedel.rosser]
f:27 [in hydras.Ackermann.codePA]
f:27 [in hydras.Schutte.Countable]
f:270 [in hydras.Ackermann.wellFormed]
f:271 [in hydras.Ackermann.codeFreeVar]
f:272 [in hydras.Ackermann.wellFormed]
f:273 [in hydras.Ackermann.codeFreeVar]
f:274 [in hydras.Ackermann.wellFormed]
f:275 [in hydras.Ackermann.codeFreeVar]
f:276 [in hydras.Ackermann.codeFreeVar]
f:276 [in hydras.Ackermann.wellFormed]
f:277 [in hydras.Ackermann.codeFreeVar]
f:278 [in hydras.Ackermann.codeFreeVar]
f:278 [in hydras.Ackermann.wellFormed]
f:279 [in hydras.Ackermann.codeFreeVar]
f:279 [in hydras.Ackermann.folProp]
f:28 [in hydras.Ackermann.model]
f:28 [in additions.Euclidean_Chains]
f:28 [in Goedel.codeSysPrf]
f:28 [in hydras.Schutte.Ordering_Functions]
f:28 [in hydras.Schutte.Countable]
f:280 [in hydras.Ackermann.codeFreeVar]
f:280 [in hydras.Ackermann.wellFormed]
f:280 [in hydras.rpo.rpo]
f:281 [in hydras.Ackermann.codeFreeVar]
f:282 [in hydras.Ackermann.subAll]
f:282 [in hydras.Ackermann.codeFreeVar]
f:282 [in hydras.Ackermann.wellFormed]
f:283 [in hydras.Ackermann.codeFreeVar]
f:284 [in hydras.Ackermann.codeFreeVar]
f:284 [in hydras.Ackermann.wellFormed]
f:285 [in hydras.Ackermann.codeFreeVar]
f:286 [in hydras.Ackermann.codeFreeVar]
f:286 [in hydras.Ackermann.wellFormed]
f:287 [in hydras.Ackermann.subAll]
f:287 [in hydras.Ackermann.codeFreeVar]
f:288 [in hydras.rpo.term]
f:288 [in hydras.Ackermann.codeFreeVar]
f:288 [in hydras.Ackermann.wellFormed]
f:289 [in hydras.Ackermann.codeFreeVar]
f:29 [in hydras.Ackermann.model]
f:29 [in hydras.Prelude.Sort_spec]
f:29 [in gaia_hydras.nfwfgaia]
f:290 [in hydras.Ackermann.codeFreeVar]
f:290 [in hydras.Ackermann.wellFormed]
f:291 [in hydras.Ackermann.codeFreeVar]
f:292 [in hydras.Ackermann.codeFreeVar]
f:292 [in hydras.Ackermann.wellFormed]
f:294 [in hydras.Ackermann.wellFormed]
f:296 [in hydras.Ackermann.wellFormed]
f:297 [in hydras.Ackermann.subAll]
f:298 [in hydras.rpo.term]
f:298 [in hydras.Ackermann.wellFormed]
f:298 [in hydras.Ackermann.fol]
f:3 [in hydras.Prelude.DecPreOrder_Instances]
F:3 [in hydras.Ackermann.NN2PA]
f:3 [in hydras.Prelude.STDPP_compat]
f:3 [in hydras.Ackermann.folLogic]
f:30 [in hydras.Prelude.Iterates]
f:30 [in hydras.Ackermann.LNN]
f:30 [in hydras.Ackermann.LNT]
f:30 [in hydras.Ackermann.folLogic]
f:30 [in hydras.Schutte.Ordering_Functions]
f:30 [in hydras.Ackermann.codePA]
f:30 [in hydras.MoreAck.FolExamples]
f:300 [in hydras.Ackermann.wellFormed]
f:301 [in hydras.Ackermann.fol]
f:302 [in hydras.Ackermann.wellFormed]
f:303 [in hydras.Ackermann.wellFormed]
f:304 [in hydras.Ackermann.wellFormed]
f:305 [in hydras.Ackermann.wellFormed]
f:306 [in hydras.Ackermann.wellFormed]
f:307 [in hydras.Ackermann.wellFormed]
f:308 [in hydras.Ackermann.wellFormed]
f:309 [in hydras.Ackermann.wellFormed]
f:31 [in hydras.Ackermann.folLogic2]
f:31 [in Goedel.codeSysPrf]
f:31 [in hydras.Ackermann.Languages]
f:31 [in hydras.Ackermann.expressible]
f:310 [in hydras.Ackermann.wellFormed]
f:310 [in hydras.Ackermann.fol]
f:311 [in hydras.Ackermann.wellFormed]
f:312 [in hydras.Ackermann.wellFormed]
f:312 [in hydras.Ackermann.fol]
f:313 [in hydras.Ackermann.wellFormed]
f:314 [in hydras.Ackermann.wellFormed]
f:315 [in hydras.Ackermann.wellFormed]
f:316 [in hydras.Ackermann.subAll]
f:316 [in hydras.Ackermann.wellFormed]
f:317 [in hydras.Ackermann.wellFormed]
f:318 [in hydras.Ackermann.wellFormed]
f:319 [in hydras.Ackermann.wellFormed]
f:32 [in hydras.Prelude.Iterates]
f:32 [in hydras.Ackermann.LNT]
f:32 [in gaia_hydras.T1Bridge]
f:320 [in hydras.Ackermann.wellFormed]
f:321 [in hydras.Ackermann.wellFormed]
f:322 [in hydras.Ackermann.wellFormed]
f:323 [in hydras.Ackermann.wellFormed]
f:324 [in hydras.Ackermann.wellFormed]
f:326 [in hydras.Ackermann.wellFormed]
f:328 [in hydras.Ackermann.wellFormed]
f:33 [in hydras.rpo.more_list]
f:33 [in hydras.Ackermann.LNN]
f:33 [in hydras.Ackermann.folLogic]
f:33 [in hydras.Ackermann.codePA]
f:33 [in hydras.Ackermann.expressible]
f:330 [in hydras.Ackermann.wellFormed]
f:332 [in hydras.Ackermann.wellFormed]
f:333 [in hydras.Ackermann.wellFormed]
f:334 [in hydras.Ackermann.wellFormed]
f:335 [in hydras.Ackermann.wellFormed]
f:336 [in hydras.Ackermann.wellFormed]
f:337 [in hydras.Ackermann.wellFormed]
f:338 [in hydras.Ackermann.wellFormed]
f:339 [in hydras.Ackermann.wellFormed]
f:34 [in hydras.Ackermann.LNT]
f:340 [in hydras.Ackermann.wellFormed]
f:341 [in hydras.Ackermann.wellFormed]
f:342 [in hydras.Ackermann.wellFormed]
f:343 [in hydras.Ackermann.wellFormed]
f:344 [in hydras.Ackermann.wellFormed]
f:344 [in hydras.Ackermann.fol]
f:345 [in hydras.Ackermann.wellFormed]
f:346 [in hydras.rpo.term]
f:347 [in hydras.Ackermann.primRec]
f:347 [in hydras.Ackermann.fol]
f:35 [in hydras.Ackermann.folLogic2]
f:35 [in hydras.Ackermann.LNN]
f:35 [in gaia_hydras.T1Bridge]
F:350 [in Goedel.PRrepresentable]
f:350 [in hydras.Ackermann.primRec]
F:354 [in Goedel.PRrepresentable]
f:356 [in hydras.Ackermann.fol]
F:358 [in Goedel.PRrepresentable]
f:358 [in hydras.Ackermann.fol]
f:359 [in hydras.Ackermann.primRec]
f:36 [in hydras.Prelude.Iterates]
f:36 [in hydras.Ackermann.LNT]
f:36 [in hydras.Ackermann.folLogic]
f:36 [in hydras.Ackermann.Languages]
f:36 [in hydras.Ackermann.codePA]
F:362 [in Goedel.PRrepresentable]
f:363 [in hydras.Ackermann.primRec]
f:37 [in hydras.rpo.term]
f:37 [in hydras.Ackermann.LNN]
f:37 [in hydras.Epsilon0.Large_Sets]
f:37 [in Goedel.rosserPA]
f:37 [in hydras.Schutte.Countable]
f:37 [in hydras.Ackermann.expressible]
f:38 [in hydras.Prelude.Sort_spec]
f:38 [in hydras.Ackermann.folProp]
f:38 [in hydras.Ackermann.code]
f:38 [in hydras.Ackermann.folLogic]
f:381 [in hydras.Ackermann.primRec]
F:384 [in Goedel.PRrepresentable]
F:388 [in Goedel.PRrepresentable]
f:388 [in hydras.Ackermann.fol]
f:39 [in hydras.Prelude.Iterates]
f:39 [in additions.FirstSteps]
f:39 [in hydras.Ackermann.LNN]
f:39 [in hydras.Ackermann.LNT]
F:39 [in hydras.Ackermann.folProp]
f:39 [in hydras.Ackermann.codePA]
f:39 [in hydras.MoreAck.PrimRecExamples]
f:391 [in hydras.Ackermann.fol]
F:392 [in Goedel.PRrepresentable]
F:396 [in Goedel.PRrepresentable]
f:4 [in hydras.MoreAck.AckNotPR]
f:4 [in hydras.MoreAck.Iterate_compat]
f:40 [in hydras.Epsilon0.Large_Sets]
f:40 [in hydras.Ackermann.expressible]
f:400 [in hydras.Ackermann.folProp]
f:400 [in hydras.Ackermann.fol]
f:402 [in hydras.Ackermann.fol]
F:404 [in Goedel.PRrepresentable]
F:408 [in Goedel.PRrepresentable]
f:41 [in hydras.Prelude.Iterates]
F:41 [in hydras.Ackermann.folProp]
f:41 [in hydras.Ackermann.code]
f:41 [in hydras.rpo.rpo]
F:412 [in Goedel.PRrepresentable]
f:414 [in hydras.Ackermann.folProp]
f:414 [in hydras.Ackermann.primRec]
F:416 [in Goedel.PRrepresentable]
f:42 [in hydras.Ackermann.LNN]
f:42 [in hydras.Ackermann.LNT]
f:42 [in hydras.Ackermann.folProp]
f:42 [in hydras.MoreAck.AckNotPR]
f:42 [in hydras.Ackermann.folLogic]
f:42 [in gaia_hydras.nfwfgaia]
f:425 [in hydras.Ackermann.primRec]
f:426 [in hydras.Ackermann.folProp]
f:428 [in Goedel.PRrepresentable]
f:428 [in hydras.Ackermann.folProp]
f:43 [in hydras.rpo.term]
f:43 [in hydras.Ackermann.folProof]
f:43 [in hydras.Prelude.Iterates]
f:43 [in hydras.Epsilon0.Large_Sets]
f:430 [in hydras.Ackermann.primRec]
f:431 [in Goedel.PRrepresentable]
f:433 [in hydras.Ackermann.folProp]
f:434 [in Goedel.PRrepresentable]
f:437 [in Goedel.PRrepresentable]
f:437 [in hydras.Ackermann.primRec]
f:44 [in hydras.Ackermann.subAll]
f:44 [in hydras.Ackermann.model]
f:44 [in hydras.Ackermann.subProp]
f:44 [in hydras.Ackermann.code]
f:44 [in hydras.Schutte.Ordering_Functions]
f:44 [in hydras.Ackermann.expressible]
f:440 [in hydras.Ackermann.fol]
f:442 [in hydras.Ackermann.folProp]
f:442 [in hydras.Ackermann.fol]
f:445 [in Goedel.PRrepresentable]
f:446 [in hydras.Ackermann.fol]
f:45 [in hydras.Ackermann.folProof]
f:45 [in hydras.Ackermann.LNN]
f:45 [in hydras.Ackermann.LNT]
f:45 [in hydras.Ackermann.folProp]
f:45 [in hydras.Schutte.AP]
f:45 [in hydras.Epsilon0.L_alpha]
f:45 [in hydras.Schutte.Schutte_basics]
f:45 [in hydras.rpo.rpo]
f:456 [in Goedel.PRrepresentable]
f:46 [in hydras.Prelude.Iterates]
f:46 [in hydras.MoreAck.AckNotPR]
f:46 [in hydras.Epsilon0.Large_Sets]
f:46 [in hydras.Ackermann.folLogic]
f:46 [in hydras.MoreAck.PrimRecExamples]
f:47 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
f:47 [in gaia_hydras.nfwfgaia]
f:47 [in hydras.Ackermann.Languages]
f:47 [in hydras.MoreAck.PrimRecExamples]
f:474 [in Goedel.PRrepresentable]
f:48 [in hydras.Ackermann.LNN]
f:48 [in hydras.Ackermann.LNT]
f:48 [in hydras.Schutte.Ordering_Functions]
f:48 [in hydras.Ackermann.Languages]
f:48 [in hydras.Ackermann.expressible]
f:49 [in hydras.Prelude.Iterates]
f:49 [in hydras.Ackermann.LNN2LNT]
f:49 [in hydras.Epsilon0.Large_Sets]
f:49 [in hydras.Ackermann.folLogic]
f:49 [in gaia_hydras.nfwfgaia]
f:5 [in hydras.rpo.more_list]
f:5 [in hydras.Ackermann.folLogic2]
f:5 [in hydras.Ackermann.code]
f:5 [in hydras.Ackermann.PA]
f:5 [in hydras.Schutte.Ordering_Functions]
f:50 [in hydras.Ackermann.folProof]
f:50 [in hydras.Ackermann.subAll]
f:50 [in hydras.MoreAck.AckNotPR]
f:50 [in hydras.Ackermann.Languages]
f:50 [in hydras.rpo.rpo]
f:51 [in hydras.Ackermann.LNN]
f:514 [in gaia_hydras.nfwfgaia]
f:519 [in gaia_hydras.nfwfgaia]
f:52 [in hydras.Ackermann.folProof]
f:52 [in Goedel.PRrepresentable]
f:52 [in hydras.Ackermann.LNT]
f:52 [in hydras.Ackermann.PA]
f:52 [in hydras.Ackermann.folLogic]
f:52 [in gaia_hydras.nfwfgaia]
f:52 [in hydras.MoreAck.PrimRecExamples]
f:524 [in gaia_hydras.nfwfgaia]
f:527 [in gaia_hydras.nfwfgaia]
f:53 [in hydras.Prelude.Iterates]
f:53 [in hydras.Schutte.Ordering_Functions]
f:538 [in hydras.Ackermann.checkPrf]
f:54 [in hydras.Ackermann.folProof]
f:54 [in hydras.Ackermann.model]
f:54 [in hydras.rpo.rpo]
f:541 [in hydras.Ackermann.checkPrf]
f:542 [in gaia_hydras.nfwfgaia]
f:544 [in hydras.Ackermann.checkPrf]
f:545 [in hydras.Ackermann.checkPrf]
f:546 [in gaia_hydras.nfwfgaia]
f:548 [in hydras.Ackermann.checkPrf]
f:55 [in hydras.Ackermann.LNN]
f:55 [in hydras.Ackermann.folLogic]
f:55 [in hydras.MoreAck.PrimRecExamples]
f:550 [in gaia_hydras.nfwfgaia]
f:553 [in gaia_hydras.nfwfgaia]
f:558 [in gaia_hydras.nfwfgaia]
f:56 [in hydras.Ackermann.LNT]
f:56 [in hydras.Ackermann.primRec]
f:56 [in hydras.OrdinalNotations.ON_Generic]
f:560 [in gaia_hydras.nfwfgaia]
f:566 [in gaia_hydras.nfwfgaia]
f:568 [in gaia_hydras.nfwfgaia]
f:57 [in hydras.Prelude.Iterates]
f:57 [in Goedel.rosserPA]
f:57 [in Goedel.codeSysPrf]
f:576 [in gaia_hydras.nfwfgaia]
f:58 [in hydras.Ackermann.model]
f:58 [in hydras.Ackermann.folLogic]
f:58 [in hydras.Schutte.Ordering_Functions]
f:582 [in gaia_hydras.nfwfgaia]
f:587 [in gaia_hydras.nfwfgaia]
f:59 [in hydras.Ackermann.LNN]
f:59 [in hydras.Ackermann.LNT]
f:59 [in hydras.Prelude.Sort_spec]
f:59 [in hydras.MoreAck.PrimRecExamples]
f:593 [in gaia_hydras.nfwfgaia]
f:596 [in gaia_hydras.nfwfgaia]
F:6 [in hydras.Ackermann.Deduction]
f:6 [in hydras.Ackermann.folLogic]
f:602 [in hydras.Ackermann.primRec]
f:61 [in hydras.Ackermann.folLogic]
f:62 [in hydras.Prelude.Iterates]
f:62 [in hydras.Ackermann.LNN2LNT]
f:62 [in hydras.Ackermann.LNN]
f:62 [in hydras.Ackermann.LNT]
f:62 [in hydras.Ackermann.fol]
f:62 [in hydras.Prelude.MoreVectors]
f:621 [in hydras.Ackermann.primRec]
f:624 [in hydras.Ackermann.primRec]
f:628 [in hydras.Ackermann.primRec]
f:63 [in hydras.Ackermann.primRec]
f:63 [in hydras.Epsilon0.Hprime]
f:63 [in hydras.Schutte.Ordering_Functions]
f:633 [in hydras.Ackermann.primRec]
f:637 [in hydras.Ackermann.primRec]
f:64 [in hydras.Ackermann.LNN2LNT]
f:64 [in hydras.Ackermann.folProp]
f:64 [in hydras.Ackermann.folLogic]
f:64 [in hydras.Ackermann.codePA]
f:642 [in hydras.Ackermann.primRec]
f:65 [in hydras.Prelude.Iterates]
f:65 [in hydras.Ackermann.LNN]
f:65 [in hydras.Ackermann.LNT]
f:65 [in hydras.Ackermann.Languages]
f:65 [in hydras.Ackermann.codePA]
f:66 [in hydras.Ackermann.LNN2LNT]
f:66 [in hydras.Schutte.Ordering_Functions]
f:66 [in hydras.Ackermann.codePA]
f:664 [in hydras.Ackermann.primRec]
f:67 [in hydras.Ackermann.subProp]
f:67 [in additions.Euclidean_Chains]
f:67 [in hydras.Ackermann.folLogic]
f:67 [in hydras.Ackermann.codePA]
f:672 [in hydras.Ackermann.primRec]
f:68 [in hydras.Ackermann.LNN]
f:68 [in hydras.Ackermann.LNT]
f:68 [in hydras.Schutte.PartialFun]
f:68 [in hydras.Ackermann.codePA]
f:69 [in hydras.Prelude.Iterates]
f:69 [in hydras.Ackermann.LNN2LNT]
f:69 [in hydras.Ackermann.fol]
f:69 [in Goedel.rosser]
f:69 [in hydras.Ackermann.codePA]
f:7 [in hydras.Epsilon0.Epsilon0rpo]
f:7 [in hydras.Epsilon0.Large_Sets]
f:7 [in hydras.Ackermann.wellFormed]
f:7 [in Goedel.goedel1]
f:7 [in Goedel.rosser]
f:7 [in hydras.Ackermann.codePA]
f:7 [in Goedel.goedel2]
f:7 [in hydras.Ackermann.expressible]
f:70 [in Goedel.rosser]
f:70 [in gaia_hydras.nfwfgaia]
f:70 [in hydras.Ackermann.codePA]
f:70 [in hydras.MoreAck.PrimRecExamples]
f:71 [in hydras.Ackermann.LNN]
f:71 [in hydras.Ackermann.LNT]
f:71 [in hydras.Schutte.PartialFun]
f:71 [in hydras.Ackermann.folLogic]
f:72 [in hydras.MoreAck.AckNotPR]
f:72 [in hydras.Ackermann.codePA]
f:73 [in hydras.Prelude.Iterates]
f:73 [in hydras.Prelude.Sort_spec]
f:73 [in hydras.MoreAck.AckNotPR]
f:73 [in hydras.Ackermann.codeSubFormula]
f:73 [in gaia_hydras.nfwfgaia]
f:73 [in hydras.Ackermann.codePA]
f:73 [in hydras.MoreAck.PrimRecExamples]
f:731 [in hydras.Ackermann.checkPrf]
f:74 [in hydras.Ackermann.LNN]
f:74 [in hydras.Ackermann.LNT]
f:74 [in hydras.Ackermann.folProp]
f:74 [in hydras.MoreAck.AckNotPR]
f:74 [in hydras.Ackermann.primRec]
f:74 [in hydras.Ackermann.folLogic]
f:75 [in Goedel.codeSysPrf]
f:75 [in hydras.rpo.list_permut]
f:75 [in Goedel.rosser]
f:75 [in hydras.Ackermann.codePA]
f:75 [in hydras.Prelude.MoreVectors]
f:76 [in hydras.Ackermann.model]
f:76 [in hydras.Ackermann.folLogic3]
f:77 [in hydras.Prelude.Iterates]
f:77 [in hydras.Ackermann.LNN]
f:77 [in hydras.Ackermann.LNT]
f:77 [in additions.Euclidean_Chains]
f:77 [in gaia_hydras.nfwfgaia]
f:77 [in hydras.Ackermann.codePA]
f:78 [in hydras.MoreAck.AckNotPR]
f:78 [in hydras.Ackermann.folLogic]
f:78 [in hydras.rpo.list_permut]
f:78 [in hydras.MoreAck.PrimRecExamples]
f:79 [in Goedel.PRrepresentable]
f:79 [in hydras.Ackermann.model]
f:79 [in hydras.Ackermann.codeSubFormula]
f:79 [in hydras.Ackermann.codePA]
f:8 [in hydras.Ackermann.folProof]
F:8 [in hydras.MoreAck.BadSubst]
f:8 [in hydras.Prelude.Iterates]
f:8 [in hydras.Ackermann.checkPrf]
f:8 [in Goedel.rosserPA]
f:8 [in hydras.Ackermann.folLogic]
f:8 [in gaia_hydras.onType]
f:8 [in hydras.Schutte.Well_Orders]
f:8 [in Goedel.codeSysPrf]
f:80 [in hydras.Ackermann.LNN]
f:80 [in hydras.Schutte.Ordering_Functions]
f:80 [in gaia_hydras.nfwfgaia]
f:81 [in hydras.Prelude.Iterates]
f:81 [in hydras.Ackermann.LNT]
f:81 [in Goedel.codeSysPrf]
f:81 [in hydras.Ackermann.codePA]
f:82 [in hydras.Ackermann.folLogic]
f:82 [in hydras.MoreAck.PrimRecExamples]
f:821 [in hydras.Ackermann.checkPrf]
f:822 [in hydras.Ackermann.primRec]
f:823 [in hydras.Ackermann.checkPrf]
f:825 [in hydras.Ackermann.checkPrf]
f:825 [in hydras.Ackermann.primRec]
f:827 [in hydras.Ackermann.checkPrf]
f:829 [in hydras.Ackermann.checkPrf]
f:83 [in hydras.MoreAck.AckNotPR]
f:83 [in Goedel.codeSysPrf]
f:83 [in hydras.Ackermann.codePA]
f:831 [in hydras.Ackermann.checkPrf]
f:833 [in hydras.Ackermann.checkPrf]
f:836 [in hydras.Ackermann.checkPrf]
f:84 [in hydras.Ackermann.LNN]
f:84 [in hydras.Ackermann.LNT]
f:846 [in hydras.Ackermann.checkPrf]
f:85 [in hydras.Ackermann.folProp]
f:85 [in hydras.Ackermann.folLogic]
f:85 [in hydras.Epsilon0.Hprime]
f:85 [in hydras.Ackermann.codePA]
f:859 [in hydras.Ackermann.checkPrf]
f:86 [in hydras.Ackermann.subAll]
f:864 [in hydras.Ackermann.checkPrf]
f:87 [in hydras.Prelude.Iterates]
f:87 [in hydras.Ackermann.LNN]
f:87 [in hydras.Ackermann.model]
f:87 [in hydras.Ackermann.primRec]
f:87 [in Goedel.codeSysPrf]
F:87 [in hydras.Epsilon0.Hprime]
f:87 [in hydras.Ackermann.codePA]
f:874 [in gaia_hydras.nfwfgaia]
f:877 [in hydras.Ackermann.checkPrf]
f:88 [in hydras.Ackermann.LNT]
f:880 [in hydras.Ackermann.checkPrf]
f:89 [in hydras.Ackermann.folLogic]
f:89 [in hydras.Ackermann.codePA]
f:9 [in hydras.Ackermann.folLogic2]
f:9 [in hydras.Prelude.Sort_spec]
f:9 [in hydras.Ackermann.folProp]
f:9 [in hydras.Ackermann.Deduction]
f:9 [in Goedel.goedel1]
f:9 [in Goedel.rosser]
f:9 [in hydras.Ackermann.codePA]
f:9 [in Goedel.goedel2]
f:9 [in hydras.Ackermann.expressible]
f:90 [in hydras.Ackermann.subProp]
f:90 [in hydras.Ackermann.fol]
f:91 [in hydras.Ackermann.LNN]
f:91 [in hydras.Ackermann.fol]
f:91 [in hydras.Ackermann.folLogic]
f:91 [in Goedel.codeSysPrf]
f:91 [in hydras.Ackermann.codePA]
f:92 [in hydras.Ackermann.subAll]
f:92 [in hydras.Prelude.Iterates]
f:92 [in hydras.Ackermann.LNT]
f:93 [in hydras.Ackermann.codePA]
f:94 [in hydras.Ackermann.folLogic]
f:940 [in hydras.Ackermann.codeSubFormula]
f:943 [in hydras.Ackermann.codeSubFormula]
f:946 [in hydras.Ackermann.codeSubFormula]
f:949 [in hydras.Ackermann.codeSubFormula]
f:95 [in hydras.Ackermann.LNN]
f:95 [in hydras.Ackermann.LNT]
f:95 [in hydras.Ackermann.codePA]
f:952 [in hydras.Ackermann.codeSubFormula]
f:955 [in hydras.Ackermann.codeSubFormula]
f:958 [in hydras.Ackermann.codeSubFormula]
f:96 [in hydras.Ackermann.LNN2LNT]
f:96 [in hydras.Ackermann.folProp]
f:961 [in hydras.Ackermann.codeSubFormula]
f:964 [in hydras.Ackermann.codeSubFormula]
f:967 [in hydras.Ackermann.codeSubFormula]
f:97 [in hydras.Ackermann.folLogic]
f:97 [in hydras.Ackermann.folReplace]
f:97 [in hydras.Ackermann.codePA]
f:970 [in hydras.Ackermann.codeSubFormula]
f:973 [in hydras.Ackermann.codeSubFormula]
f:976 [in hydras.Ackermann.codeSubFormula]
f:979 [in hydras.Ackermann.codeSubFormula]
f:98 [in hydras.Prelude.Iterates]
f:98 [in hydras.Ackermann.LNN]
f:980 [in hydras.Ackermann.codeSubFormula]
f:981 [in hydras.Ackermann.codeSubFormula]
f:984 [in hydras.Ackermann.codeSubFormula]
f:987 [in hydras.Ackermann.codeSubFormula]
f:99 [in hydras.Ackermann.LNT]
f:99 [in hydras.Ackermann.codePA]
f:990 [in hydras.Ackermann.codeSubFormula]
f:993 [in hydras.Ackermann.codeSubFormula]
f:996 [in hydras.Ackermann.codeSubFormula]
f:999 [in hydras.Ackermann.codeSubFormula]

G

gammaA:295 [in additions.Addition_Chains]
gammaB:296 [in additions.Addition_Chains]
gamma_nat:204 [in additions.Addition_Chains]
gamma':140 [in hydras.Gamma0.Gamma0]
gamma':161 [in hydras.Gamma0.Gamma0]
gamma0:544 [in hydras.Gamma0.Gamma0]
gamma1:34 [in hydras.Gamma0.T2]
gamma1:41 [in hydras.Gamma0.T2]
gamma1:49 [in hydras.Gamma0.T2]
gamma1:56 [in hydras.Gamma0.T2]
gamma1:62 [in hydras.Gamma0.T2]
gamma1:67 [in hydras.Gamma0.T2]
gamma2:35 [in hydras.Gamma0.T2]
gamma2:42 [in hydras.Gamma0.T2]
gamma2:50 [in hydras.Gamma0.T2]
gamma2:57 [in hydras.Gamma0.T2]
gamma2:63 [in hydras.Gamma0.T2]
gamma2:68 [in hydras.Gamma0.T2]
gamma:1 [in additions.Strategies]
gamma:10 [in hydras.Schutte.AP]
gamma:102 [in hydras.Gamma0.T2]
gamma:111 [in hydras.Epsilon0.Hessenberg]
gamma:112 [in hydras.Epsilon0.T1]
gamma:114 [in hydras.Epsilon0.Hessenberg]
gamma:117 [in hydras.Epsilon0.Paths]
gamma:12 [in hydras.Schutte.Critical]
gamma:122 [in hydras.Epsilon0.E0]
gamma:122 [in hydras.Epsilon0.Paths]
gamma:125 [in hydras.Epsilon0.Paths]
gamma:126 [in hydras.Gamma0.Gamma0]
gamma:129 [in hydras.Gamma0.Gamma0]
gamma:13 [in hydras.Schutte.Correctness_E0]
gamma:131 [in hydras.Epsilon0.Paths]
gamma:132 [in hydras.Gamma0.Gamma0]
gamma:136 [in hydras.Gamma0.Gamma0]
gamma:138 [in hydras.Epsilon0.Paths]
gamma:144 [in hydras.Epsilon0.Paths]
gamma:15 [in hydras.solutions_exercises.predSuccUnicity]
gamma:150 [in hydras.Gamma0.Gamma0]
gamma:156 [in hydras.Gamma0.Gamma0]
gamma:160 [in hydras.Gamma0.Gamma0]
gamma:162 [in hydras.Gamma0.Gamma0]
gamma:167 [in hydras.Epsilon0.Paths]
gamma:17 [in hydras.Schutte.Correctness_E0]
gamma:172 [in hydras.Epsilon0.Paths]
gamma:179 [in hydras.Gamma0.Gamma0]
gamma:18 [in hydras.solutions_exercises.predSuccUnicity]
gamma:18 [in hydras.Epsilon0.Paths]
gamma:19 [in hydras.solutions_exercises.Limit_Infinity]
gamma:20 [in hydras.Gamma0.Gamma0]
gamma:203 [in additions.Addition_Chains]
gamma:216 [in hydras.Epsilon0.Paths]
gamma:22 [in hydras.solutions_exercises.Limit_Infinity]
gamma:220 [in hydras.Epsilon0.Paths]
gamma:23 [in additions.Fib2]
gamma:25 [in gaia_hydras.GCanon]
gamma:250 [in hydras.Epsilon0.Paths]
gamma:26 [in hydras.Schutte.Addition]
gamma:27 [in hydras.Gamma0.T2]
gamma:298 [in hydras.Epsilon0.Paths]
gamma:302 [in hydras.Epsilon0.Paths]
gamma:309 [in hydras.Epsilon0.Paths]
gamma:31 [in hydras.Schutte.Addition]
gamma:315 [in hydras.Epsilon0.T1]
gamma:33 [in hydras.Epsilon0.Paths]
gamma:339 [in hydras.Epsilon0.T1]
gamma:34 [in hydras.Schutte.Correctness_E0]
gamma:34 [in hydras.Epsilon0.Canon]
gamma:34 [in hydras.Schutte.Addition]
gamma:342 [in hydras.Epsilon0.T1]
gamma:35 [in hydras.Epsilon0.Canon]
gamma:36 [in hydras.Schutte.Correctness_E0]
gamma:38 [in hydras.Schutte.Correctness_E0]
gamma:38 [in hydras.Epsilon0.Canon]
gamma:39 [in gaia_hydras.GCanon]
gamma:396 [in hydras.Epsilon0.T1]
gamma:40 [in hydras.Schutte.Correctness_E0]
gamma:40 [in hydras.Epsilon0.Canon]
gamma:44 [in hydras.Schutte.Addition]
gamma:468 [in hydras.Epsilon0.Paths]
gamma:47 [in hydras.Schutte.Addition]
gamma:48 [in hydras.Schutte.Addition]
gamma:498 [in hydras.Gamma0.Gamma0]
gamma:50 [in hydras.Schutte.CNF]
gamma:50 [in hydras.Schutte.Addition]
gamma:509 [in hydras.Epsilon0.Paths]
gamma:51 [in hydras.Schutte.Addition]
gamma:513 [in hydras.Epsilon0.Paths]
gamma:513 [in hydras.Gamma0.Gamma0]
gamma:516 [in hydras.Gamma0.Gamma0]
gamma:519 [in hydras.Epsilon0.Paths]
gamma:52 [in hydras.Schutte.Addition]
gamma:54 [in hydras.Epsilon0.Hessenberg]
gamma:542 [in hydras.Epsilon0.Paths]
gamma:545 [in hydras.Gamma0.Gamma0]
gamma:58 [in hydras.Hydra.O2H]
gamma:58 [in hydras.Schutte.Addition]
gamma:581 [in hydras.Epsilon0.Paths]
gamma:584 [in hydras.Epsilon0.T1]
gamma:59 [in hydras.Epsilon0.Hessenberg]
gamma:590 [in hydras.Epsilon0.T1]
gamma:60 [in hydras.Hydra.O2H]
gamma:60 [in hydras.Epsilon0.Hessenberg]
gamma:61 [in hydras.Schutte.Addition]
gamma:627 [in hydras.Gamma0.Gamma0]
gamma:63 [in hydras.Hydra.O2H]
gamma:631 [in hydras.Gamma0.Gamma0]
gamma:637 [in hydras.Epsilon0.T1]
gamma:643 [in hydras.Gamma0.Gamma0]
gamma:660 [in hydras.Gamma0.Gamma0]
gamma:663 [in hydras.Gamma0.Gamma0]
gamma:67 [in hydras.Epsilon0.Hessenberg]
gamma:676 [in hydras.Epsilon0.T1]
gamma:68 [in hydras.Schutte.AP]
gamma:693 [in hydras.Gamma0.Gamma0]
gamma:7 [in additions.Strategies]
gamma:72 [in hydras.OrdinalNotations.ON_Omega2]
gamma:74 [in hydras.Schutte.Critical]
gamma:82 [in hydras.Hydra.O2H]
gamma:82 [in hydras.Epsilon0.Hessenberg]
gamma:82 [in hydras.Epsilon0.E0]
gamma:85 [in hydras.Epsilon0.E0]
gamma:91 [in hydras.Epsilon0.Canon]
gamma:96 [in hydras.Epsilon0.E0]
gamma:97 [in hydras.Epsilon0.Canon]
gen:219 [in additions.Addition_Chains]
go:159 [in hydras.Hydra.Hydra_Lemmas]
gP:26 [in gaia_hydras.T1Bridge]
grec:79 [in hydras.Ackermann.folProp]
gR:29 [in gaia_hydras.T1Bridge]
gs:37 [in hydras.MoreAck.AckNotPR]
g_bij:91 [in hydras.Schutte.PartialFun]
g_bij:85 [in hydras.Schutte.PartialFun]
g_beta':130 [in hydras.Schutte.Ordering_Functions]
g_beta:129 [in hydras.Schutte.Ordering_Functions]
g_beta:128 [in hydras.Schutte.Ordering_Functions]
g_l':275 [in hydras.rpo.rpo]
g0:22 [in hydras.Ackermann.Deduction]
g0:23 [in hydras.Ackermann.Deduction]
g0:64 [in hydras.MoreAck.AckNotPR]
g0:65 [in hydras.MoreAck.AckNotPR]
g1:114 [in hydras.Ackermann.primRec]
g1:117 [in hydras.Ackermann.primRec]
g2:115 [in hydras.Ackermann.primRec]
g2:118 [in hydras.Ackermann.primRec]
g:10 [in hydras.Ackermann.Deduction]
g:102 [in hydras.Ackermann.LNT]
g:103 [in hydras.Ackermann.folReplace]
g:104 [in hydras.OrdinalNotations.ON_Generic]
g:105 [in hydras.Ackermann.LNN]
g:105 [in hydras.Ackermann.LNT]
g:108 [in hydras.Ackermann.LNN]
g:108 [in hydras.Ackermann.LNT]
g:108 [in hydras.Ackermann.folReplace]
g:109 [in hydras.Ackermann.folLogic]
g:110 [in hydras.Ackermann.fol]
g:111 [in hydras.Ackermann.LNN]
g:113 [in hydras.Ackermann.folLogic]
g:116 [in hydras.Ackermann.folLogic]
g:117 [in hydras.Ackermann.fol]
g:117 [in hydras.OrdinalNotations.ON_Generic]
g:119 [in hydras.Ackermann.LNT]
g:12 [in hydras.Ackermann.primRec]
g:12 [in hydras.Ackermann.Deduction]
g:12 [in hydras.Ackermann.folLogic]
g:121 [in hydras.Ackermann.folLogic]
g:122 [in hydras.Ackermann.LNN2LNT]
g:122 [in hydras.Ackermann.LNN]
g:123 [in hydras.Ackermann.LNT]
g:124 [in hydras.Ackermann.folLogic]
g:126 [in hydras.Ackermann.LNN]
g:126 [in hydras.Ackermann.LNT]
g:127 [in hydras.Ackermann.LNN2LNT]
g:129 [in hydras.Ackermann.LNN]
g:13 [in hydras.solutions_exercises.MinPR2]
g:13 [in Goedel.rosser]
g:130 [in hydras.Ackermann.LNN2LNT]
g:131 [in hydras.Ackermann.LNT]
g:132 [in hydras.Ackermann.LNN2LNT]
g:133 [in Goedel.PRrepresentable]
g:133 [in hydras.Ackermann.LNN2LNT]
g:134 [in hydras.Ackermann.LNN2LNT]
g:134 [in hydras.Ackermann.LNN]
g:134 [in hydras.Ackermann.LNT]
g:134 [in hydras.Ackermann.subProp]
g:135 [in hydras.Ackermann.LNN2LNT]
g:137 [in hydras.Ackermann.LNN]
g:14 [in hydras.Epsilon0.Epsilon0rpo]
g:14 [in Goedel.rosser]
G:14 [in hydras.MoreAck.FolExamples]
g:141 [in hydras.Ackermann.codePA]
g:141 [in hydras.rpo.rpo]
g:142 [in hydras.Ackermann.LNN2LNT]
g:143 [in hydras.OrdinalNotations.ON_Generic]
g:144 [in Goedel.PRrepresentable]
g:146 [in hydras.Ackermann.LNN2LNT]
g:149 [in hydras.Ackermann.codeSubFormula]
g:15 [in hydras.Ackermann.Deduction]
g:15 [in hydras.Ackermann.folLogic]
g:152 [in hydras.Prelude.Iterates]
g:155 [in Goedel.PRrepresentable]
g:156 [in hydras.OrdinalNotations.ON_Generic]
g:16 [in Goedel.rosserPA]
g:16 [in Goedel.goedel2]
g:161 [in hydras.Prelude.Iterates]
g:165 [in hydras.Ackermann.primRec]
g:167 [in hydras.Ackermann.model]
g:168 [in hydras.Ackermann.model]
g:168 [in hydras.OrdinalNotations.ON_Generic]
g:169 [in hydras.Prelude.Iterates]
g:169 [in hydras.Ackermann.model]
g:169 [in hydras.Ackermann.codePA]
g:17 [in Goedel.rosserPA]
g:172 [in hydras.Ackermann.codePA]
g:173 [in hydras.Ackermann.primRec]
g:174 [in hydras.Prelude.Iterates]
g:178 [in hydras.Ackermann.codeSubTerm]
g:178 [in gaia_hydras.T1Bridge]
g:18 [in Goedel.rosserPA]
g:18 [in hydras.Ackermann.folLogic]
g:18 [in Goedel.goedel1]
g:180 [in hydras.OrdinalNotations.ON_Generic]
g:181 [in hydras.Ackermann.codeSubTerm]
g:181 [in gaia_hydras.T1Bridge]
g:181 [in hydras.Ackermann.primRec]
g:184 [in gaia_hydras.T1Bridge]
g:185 [in hydras.Prelude.Iterates]
g:186 [in hydras.Prelude.Iterates]
g:188 [in hydras.Prelude.Iterates]
g:188 [in gaia_hydras.T1Bridge]
g:19 [in hydras.Ackermann.LNT]
g:19 [in hydras.Schutte.Critical]
g:19 [in Goedel.rosserPA]
g:19 [in Goedel.goedel1]
g:19 [in hydras.Ackermann.Languages]
g:192 [in hydras.Prelude.Iterates]
g:192 [in hydras.Ackermann.primRec]
g:193 [in hydras.Prelude.Iterates]
g:193 [in hydras.OrdinalNotations.ON_Generic]
g:195 [in hydras.Prelude.Iterates]
g:199 [in hydras.Prelude.Iterates]
g:20 [in hydras.Ackermann.checkPrf]
g:20 [in Goedel.goedel1]
g:20 [in Goedel.goedel2]
g:201 [in hydras.Prelude.Iterates]
g:203 [in hydras.Ackermann.primRec]
g:204 [in hydras.Prelude.Iterates]
g:205 [in hydras.Ackermann.codeSubFormula]
g:21 [in Goedel.goedel1]
g:2108 [in gaia_hydras.nfwfgaia]
g:213 [in hydras.Ackermann.codeSubFormula]
g:214 [in hydras.Ackermann.primRec]
g:216 [in hydras.Prelude.Iterates]
g:217 [in hydras.Prelude.Iterates]
g:218 [in hydras.Prelude.Iterates]
g:219 [in hydras.Prelude.Iterates]
g:22 [in hydras.Ackermann.LNN]
g:22 [in hydras.Ackermann.LNT]
g:22 [in Goedel.goedel1]
g:220 [in hydras.Prelude.Iterates]
g:221 [in additions.Addition_Chains]
g:223 [in hydras.Prelude.Iterates]
g:227 [in hydras.Prelude.Iterates]
g:229 [in additions.Addition_Chains]
g:23 [in Goedel.goedel1]
g:231 [in hydras.Ackermann.primRec]
g:234 [in hydras.Ackermann.wellFormed]
g:237 [in hydras.Ackermann.wellFormed]
g:238 [in additions.Addition_Chains]
g:24 [in Goedel.rosserPA]
g:247 [in hydras.Ackermann.primRec]
g:25 [in hydras.Ackermann.LNN]
g:25 [in hydras.Ackermann.LNT]
g:25 [in Goedel.rosserPA]
g:25 [in hydras.Ackermann.folLogic]
g:25 [in Goedel.rosser]
g:25 [in Goedel.goedel2]
g:252 [in hydras.Ackermann.fol]
g:255 [in hydras.Gamma0.Gamma0]
g:263 [in hydras.Ackermann.primRec]
g:264 [in hydras.Ackermann.cPair]
g:278 [in hydras.rpo.rpo]
g:279 [in hydras.rpo.rpo]
g:28 [in hydras.Ackermann.LNN]
g:28 [in hydras.Ackermann.LNT]
g:28 [in hydras.Ackermann.folLogic]
g:284 [in hydras.Ackermann.primRec]
g:29 [in hydras.Prelude.Iterates]
g:297 [in hydras.Ackermann.primRec]
g:302 [in hydras.Ackermann.fol]
g:31 [in hydras.Ackermann.LNN]
g:31 [in hydras.Ackermann.folLogic]
g:31 [in hydras.Schutte.Ordering_Functions]
g:31 [in hydras.MoreAck.FolExamples]
g:320 [in hydras.rpo.rpo]
g:321 [in hydras.rpo.rpo]
g:326 [in hydras.Ackermann.primRec]
g:327 [in Goedel.PRrepresentable]
g:33 [in hydras.Prelude.Iterates]
g:332 [in Goedel.PRrepresentable]
g:337 [in Goedel.PRrepresentable]
g:34 [in hydras.Ackermann.folLogic]
g:34 [in Goedel.codeSysPrf]
g:348 [in hydras.Ackermann.primRec]
g:348 [in hydras.Ackermann.fol]
g:35 [in hydras.Prelude.Iterates]
g:352 [in hydras.Ackermann.primRec]
g:357 [in hydras.Ackermann.primRec]
g:36 [in Goedel.rosserPA]
g:360 [in hydras.Ackermann.primRec]
g:364 [in hydras.Ackermann.primRec]
g:37 [in hydras.Ackermann.LNT]
g:371 [in hydras.Ackermann.primRec]
g:378 [in hydras.Ackermann.primRec]
g:38 [in hydras.Prelude.Iterates]
g:382 [in hydras.Ackermann.primRec]
g:388 [in hydras.Ackermann.primRec]
g:39 [in hydras.MoreAck.AckNotPR]
g:39 [in Goedel.rosserPA]
g:39 [in hydras.Ackermann.folLogic]
g:392 [in hydras.Ackermann.fol]
g:395 [in hydras.Ackermann.primRec]
g:40 [in hydras.Ackermann.LNN]
g:40 [in hydras.Ackermann.LNT]
g:401 [in hydras.Ackermann.primRec]
g:409 [in hydras.Ackermann.primRec]
g:41 [in hydras.Epsilon0.Large_Sets]
g:42 [in hydras.Ackermann.code]
g:42 [in Goedel.rosserPA]
g:426 [in hydras.Ackermann.primRec]
g:43 [in hydras.Ackermann.LNN]
g:43 [in hydras.Ackermann.LNT]
g:43 [in hydras.MoreAck.AckNotPR]
g:43 [in hydras.Ackermann.folLogic]
g:431 [in hydras.Ackermann.primRec]
g:438 [in hydras.Ackermann.primRec]
g:44 [in hydras.Prelude.Iterates]
g:45 [in hydras.MoreAck.PrimRecExamples]
g:46 [in hydras.Ackermann.LNN]
g:46 [in hydras.Ackermann.LNT]
g:46 [in Goedel.rosserPA]
g:46 [in hydras.rpo.rpo]
g:47 [in hydras.MoreAck.AckNotPR]
g:47 [in hydras.Ackermann.folLogic]
g:48 [in hydras.Ackermann.folProof]
g:48 [in hydras.MoreAck.PrimRecExamples]
g:49 [in hydras.Ackermann.LNN]
g:49 [in hydras.Ackermann.LNT]
g:49 [in Goedel.rosserPA]
g:49 [in hydras.Ackermann.expressible]
g:50 [in hydras.Epsilon0.Large_Sets]
g:50 [in Goedel.rosserPA]
g:50 [in hydras.Ackermann.folLogic]
g:51 [in hydras.MoreAck.AckNotPR]
g:51 [in Goedel.rosserPA]
g:51 [in hydras.MoreAck.PrimRecExamples]
g:52 [in hydras.Ackermann.LNN]
g:52 [in Goedel.rosserPA]
g:53 [in hydras.Ackermann.LNT]
g:53 [in Goedel.rosserPA]
g:53 [in hydras.Ackermann.folLogic]
g:53 [in gaia_hydras.nfwfgaia]
g:53 [in hydras.MoreAck.PrimRecExamples]
g:54 [in Goedel.rosserPA]
g:55 [in Goedel.rosserPA]
g:56 [in hydras.Ackermann.LNN]
g:56 [in hydras.Ackermann.folLogic]
g:56 [in hydras.MoreAck.PrimRecExamples]
g:563 [in hydras.Ackermann.checkPrf]
g:565 [in hydras.Ackermann.checkPrf]
g:57 [in hydras.Ackermann.LNT]
g:57 [in hydras.OrdinalNotations.ON_Generic]
g:58 [in hydras.Prelude.Iterates]
g:59 [in hydras.Ackermann.folLogic]
g:59 [in Goedel.codeSysPrf]
g:597 [in gaia_hydras.nfwfgaia]
g:6 [in hydras.rpo.more_list]
g:6 [in hydras.Ackermann.code]
g:6 [in hydras.Ackermann.PA]
g:60 [in hydras.Ackermann.LNN]
g:60 [in hydras.Ackermann.LNT]
g:60 [in hydras.MoreAck.PrimRecExamples]
g:62 [in hydras.Ackermann.primRec]
g:62 [in hydras.Ackermann.folLogic]
g:63 [in hydras.Prelude.Iterates]
g:63 [in hydras.Ackermann.LNN]
g:63 [in hydras.Ackermann.LNT]
g:63 [in hydras.Ackermann.fol]
g:64 [in hydras.Ackermann.primRec]
g:648 [in hydras.Ackermann.primRec]
g:65 [in hydras.MoreAck.PrimRecExamples]
g:654 [in hydras.Ackermann.primRec]
g:659 [in hydras.Ackermann.primRec]
g:66 [in hydras.Prelude.Iterates]
g:66 [in hydras.Ackermann.LNN]
g:66 [in hydras.Ackermann.LNT]
g:66 [in hydras.MoreAck.AckNotPR]
g:666 [in hydras.Ackermann.primRec]
g:67 [in hydras.MoreAck.AckNotPR]
g:67 [in hydras.MoreAck.PrimRecExamples]
g:671 [in hydras.Ackermann.primRec]
g:68 [in hydras.Ackermann.model]
g:68 [in hydras.Ackermann.primRec]
g:69 [in hydras.Ackermann.LNN]
g:69 [in hydras.Ackermann.LNT]
g:70 [in hydras.Ackermann.fol]
g:71 [in hydras.MoreAck.PrimRecExamples]
g:72 [in hydras.Ackermann.LNN]
g:72 [in hydras.Ackermann.LNT]
g:74 [in hydras.MoreAck.PrimRecExamples]
g:75 [in hydras.Ackermann.LNN]
g:77 [in hydras.Ackermann.folProp]
g:781 [in hydras.Ackermann.codeSubFormula]
g:784 [in hydras.Ackermann.codeSubFormula]
g:79 [in hydras.Ackermann.folLogic]
g:79 [in hydras.MoreAck.PrimRecExamples]
g:8 [in hydras.solutions_exercises.MinPR2]
g:815 [in hydras.Ackermann.primRec]
g:819 [in hydras.Ackermann.primRec]
g:82 [in hydras.Prelude.Iterates]
g:823 [in hydras.Ackermann.primRec]
g:826 [in hydras.Ackermann.primRec]
g:83 [in hydras.MoreAck.PrimRecExamples]
g:84 [in hydras.Schutte.PartialFun]
g:86 [in hydras.Ackermann.folProp]
g:86 [in hydras.Ackermann.folLogic]
g:86 [in Goedel.codeSysPrf]
g:89 [in hydras.Ackermann.LNT]
g:89 [in Goedel.codeSysPrf]
g:89 [in hydras.Epsilon0.Hprime]
g:9 [in hydras.Ackermann.primRec]
g:9 [in hydras.Ackermann.folLogic]
g:90 [in hydras.Schutte.PartialFun]
g:92 [in hydras.Ackermann.LNN]
g:92 [in hydras.Ackermann.folLogic]
g:94 [in hydras.Ackermann.codeSubFormula]
g:95 [in hydras.Ackermann.folLogic]
g:96 [in hydras.Ackermann.LNT]
g:96 [in hydras.MoreAck.AckNotPR]
g:98 [in hydras.Ackermann.folLogic]
g:98 [in hydras.Ackermann.folReplace]
g:99 [in hydras.Ackermann.LNN]

H

HAB:175 [in hydras.Epsilon0.Large_Sets]
HAB:22 [in gaia_hydras.GLarge_Sets]
HAck:88 [in hydras.MoreAck.AckNotPR]
Halpha:14 [in gaia_hydras.GHprime]
Halpha:170 [in hydras.Epsilon0.Large_Sets]
Halpha:401 [in hydras.Epsilon0.Paths]
Halpha:662 [in hydras.Epsilon0.T1]
Halpha:665 [in hydras.Epsilon0.T1]
Halpha:710 [in hydras.Epsilon0.T1]
Ha:17 [in gaia_hydras.GLarge_Sets]
HA:173 [in hydras.Epsilon0.Large_Sets]
HA:20 [in gaia_hydras.GLarge_Sets]
Ha:390 [in hydras.Epsilon0.Paths]
Ha:50 [in gaia_hydras.GCanon]
Ha:9 [in gaia_hydras.GCanon]
Ha:98 [in hydras.Epsilon0.Hessenberg]
Hb:100 [in hydras.Epsilon0.Hessenberg]
HB:174 [in hydras.Epsilon0.Large_Sets]
HB:21 [in gaia_hydras.GLarge_Sets]
Hb:391 [in hydras.Epsilon0.Paths]
Hc:102 [in hydras.Epsilon0.Hessenberg]
height:17 [in hydras.Epsilon0.T1]
Hf':121 [in hydras.Prelude.Iterates]
Hf':155 [in hydras.Prelude.Iterates]
Hf':94 [in hydras.Prelude.Iterates]
Hf:120 [in hydras.Prelude.Iterates]
Hf:154 [in hydras.Prelude.Iterates]
Hf:47 [in hydras.Prelude.Iterates]
Hf:50 [in hydras.Prelude.Iterates]
Hf:74 [in hydras.Schutte.PartialFun]
Hf:75 [in hydras.MoreAck.AckNotPR]
Hf:79 [in hydras.MoreAck.AckNotPR]
Hf:84 [in hydras.MoreAck.AckNotPR]
Hf:88 [in hydras.Prelude.Iterates]
Hf:93 [in hydras.Prelude.Iterates]
Hgamma:159 [in additions.AM]
Hgamma:24 [in additions.Fib2]
Hgamma:354 [in additions.Euclidean_Chains]
Hgamma:8 [in additions.Strategies]
Hgt:163 [in hydras.Prelude.Iterates]
Hij:64 [in gaia_hydras.GCanon]
Hincl:170 [in hydras.Prelude.MoreLists]
Hk:74 [in additions.Euclidean_Chains]
Hlambda:51 [in gaia_hydras.GCanon]
Hlim:45 [in gaia_hydras.GCanon]
Hlim:52 [in gaia_hydras.GCanon]
Hlim:63 [in gaia_hydras.GCanon]
Hlim:67 [in gaia_hydras.GCanon]
Hmono:200 [in hydras.Schutte.Schutte_basics]
Hmu:2 [in hydras.Hydra.Epsilon0_Needed_Free]
Hmu:3 [in hydras.Hydra.Epsilon0_Needed_Generic]
Hm':165 [in hydras.Prelude.Iterates]
Hm:164 [in hydras.Prelude.Iterates]
Hnf:3 [in gaia_hydras.GF_alpha]
Hnf:34 [in gaia_hydras.GF_alpha]
Hnf:40 [in gaia_hydras.GCanon]
Hnf:44 [in gaia_hydras.GCanon]
Hnf:62 [in gaia_hydras.GCanon]
Hnf:66 [in gaia_hydras.GCanon]
hP:25 [in gaia_hydras.T1Bridge]
Hrecb:722 [in hydras.Ackermann.primRec]
Hrecb:726 [in hydras.Ackermann.primRec]
Hrecb:728 [in hydras.Ackermann.primRec]
Hrecb:731 [in hydras.Ackermann.primRec]
Hrecb:734 [in hydras.Ackermann.primRec]
Hrecb:737 [in hydras.Ackermann.primRec]
Hrecb:740 [in hydras.Ackermann.primRec]
Hrecb:743 [in hydras.Ackermann.primRec]
Hrecb:746 [in hydras.Ackermann.primRec]
Hrecb:749 [in hydras.Ackermann.primRec]
Hrecb:752 [in hydras.Ackermann.primRec]
Hrecb:755 [in hydras.Ackermann.primRec]
Hrecb:758 [in hydras.Ackermann.primRec]
Hrecb:760 [in hydras.Ackermann.primRec]
Hrecb:786 [in hydras.Ackermann.primRec]
Hrecb:789 [in hydras.Ackermann.primRec]
Hrecb:793 [in hydras.Ackermann.primRec]
Hrecb:796 [in hydras.Ackermann.primRec]
Hrecb:800 [in hydras.Ackermann.primRec]
Hrecb:806 [in hydras.Ackermann.primRec]
Hrecb:811 [in hydras.Ackermann.primRec]
Hrecb:814 [in hydras.Ackermann.primRec]
Hrecn:128 [in hydras.Ackermann.cPair]
Hrecn:144 [in hydras.Ackermann.cPair]
Hrecn:147 [in hydras.Ackermann.cPair]
Hrecn:151 [in hydras.Ackermann.cPair]
Hrecn:155 [in hydras.Ackermann.cPair]
Hrecn:157 [in hydras.Ackermann.cPair]
Hrecn:160 [in hydras.Ackermann.cPair]
Hrecn:178 [in hydras.Ackermann.model]
Hrecn:185 [in hydras.Ackermann.model]
Hrecn:204 [in hydras.Ackermann.model]
Hrecn:211 [in hydras.Ackermann.model]
Hrecn:64 [in hydras.Ackermann.folLogic3]
Hrecs:10 [in hydras.Ackermann.codeSubFormula]
Hrecs:108 [in hydras.Ackermann.codeList]
Hrecs:11 [in hydras.Ackermann.codeList]
Hrecs:113 [in hydras.Ackermann.codeList]
Hrecs:116 [in hydras.Ackermann.codeList]
Hrecs:12 [in hydras.Ackermann.codeSubFormula]
Hrecs:121 [in hydras.Ackermann.codeList]
Hrecs:124 [in hydras.Ackermann.codeList]
Hrecs:127 [in hydras.Ackermann.codeList]
Hrecs:13 [in hydras.Ackermann.codeList]
Hrecs:130 [in hydras.Ackermann.codeList]
Hrecs:133 [in hydras.Ackermann.codeList]
Hrecs:136 [in hydras.Ackermann.codeList]
Hrecs:139 [in hydras.Ackermann.codeList]
Hrecs:14 [in hydras.Ackermann.codeSubFormula]
Hrecs:142 [in hydras.Ackermann.codeList]
Hrecs:145 [in hydras.Ackermann.codeList]
Hrecs:147 [in hydras.Ackermann.codeList]
Hrecs:149 [in hydras.Ackermann.codeList]
Hrecs:15 [in hydras.Ackermann.codeList]
Hrecs:151 [in hydras.Ackermann.codeList]
Hrecs:153 [in hydras.Ackermann.codeList]
Hrecs:155 [in hydras.Ackermann.codeList]
Hrecs:16 [in hydras.Ackermann.codeSubFormula]
Hrecs:165 [in hydras.Ackermann.codeList]
Hrecs:168 [in hydras.Ackermann.codeList]
Hrecs:17 [in hydras.Ackermann.codeList]
Hrecs:171 [in hydras.Ackermann.codeList]
Hrecs:174 [in hydras.Ackermann.codeList]
Hrecs:177 [in hydras.Ackermann.codeList]
Hrecs:18 [in hydras.Ackermann.codeSubFormula]
Hrecs:180 [in hydras.Ackermann.codeList]
Hrecs:19 [in hydras.Ackermann.wellFormed]
Hrecs:19 [in hydras.Ackermann.codeList]
Hrecs:197 [in hydras.Ackermann.codeList]
Hrecs:199 [in hydras.Ackermann.codeList]
Hrecs:2 [in hydras.Ackermann.codeList]
Hrecs:20 [in hydras.Ackermann.codeSubFormula]
Hrecs:201 [in hydras.Ackermann.codeList]
Hrecs:203 [in hydras.Ackermann.codeList]
Hrecs:205 [in hydras.Ackermann.codeList]
Hrecs:207 [in hydras.Ackermann.codeList]
Hrecs:21 [in hydras.Ackermann.wellFormed]
Hrecs:21 [in hydras.Ackermann.codeList]
Hrecs:213 [in hydras.Ackermann.codeList]
Hrecs:218 [in hydras.Ackermann.codeList]
Hrecs:22 [in hydras.Ackermann.codeSubFormula]
Hrecs:221 [in hydras.Ackermann.codeList]
Hrecs:226 [in hydras.Ackermann.codeList]
Hrecs:229 [in hydras.Ackermann.codeList]
Hrecs:23 [in hydras.Ackermann.codeList]
Hrecs:232 [in hydras.Ackermann.codeList]
Hrecs:235 [in hydras.Ackermann.codeList]
Hrecs:238 [in hydras.Ackermann.codeList]
Hrecs:24 [in hydras.Ackermann.codeSubFormula]
Hrecs:241 [in hydras.Ackermann.codeList]
Hrecs:244 [in hydras.Ackermann.codeList]
Hrecs:247 [in hydras.Ackermann.codeList]
Hrecs:25 [in hydras.Ackermann.codeList]
Hrecs:250 [in hydras.Ackermann.codeList]
Hrecs:253 [in hydras.Ackermann.codeList]
Hrecs:256 [in hydras.Ackermann.codeList]
Hrecs:259 [in hydras.Ackermann.codeList]
Hrecs:26 [in hydras.Ackermann.codeSubFormula]
Hrecs:27 [in hydras.Ackermann.codeList]
Hrecs:276 [in hydras.Ackermann.codeList]
Hrecs:278 [in hydras.Ackermann.codeList]
Hrecs:28 [in hydras.Ackermann.codeSubFormula]
Hrecs:280 [in hydras.Ackermann.codeList]
Hrecs:282 [in hydras.Ackermann.codeList]
Hrecs:284 [in hydras.Ackermann.codeList]
Hrecs:286 [in hydras.Ackermann.codeList]
Hrecs:29 [in hydras.Ackermann.codeList]
Hrecs:30 [in hydras.Ackermann.codeSubFormula]
Hrecs:31 [in hydras.Ackermann.codeList]
Hrecs:32 [in hydras.Ackermann.codeSubFormula]
Hrecs:34 [in hydras.Ackermann.codeSubFormula]
Hrecs:36 [in hydras.Ackermann.codeSubFormula]
Hrecs:41 [in hydras.Ackermann.codeList]
Hrecs:42 [in hydras.Ackermann.codeSubFormula]
Hrecs:44 [in hydras.Ackermann.codeSubFormula]
Hrecs:46 [in hydras.Ackermann.codeSubFormula]
Hrecs:46 [in hydras.Ackermann.codeList]
Hrecs:48 [in hydras.Ackermann.codeSubFormula]
Hrecs:49 [in hydras.Ackermann.codeList]
Hrecs:5 [in hydras.Ackermann.codeList]
Hrecs:54 [in hydras.Ackermann.codeList]
Hrecs:57 [in hydras.Ackermann.codeList]
Hrecs:60 [in hydras.Ackermann.codeList]
Hrecs:63 [in hydras.Ackermann.codeList]
Hrecs:66 [in hydras.Ackermann.codeList]
Hrecs:69 [in hydras.Ackermann.codeList]
Hrecs:7 [in hydras.Ackermann.codeSubFormula]
Hrecs:7 [in hydras.Ackermann.codeList]
Hrecs:72 [in hydras.Ackermann.codeList]
Hrecs:74 [in hydras.Ackermann.codeList]
Hrecs:76 [in hydras.Ackermann.codeList]
Hrecs:78 [in hydras.Ackermann.codeList]
Hrecs:80 [in hydras.Ackermann.codeList]
Hrecs:82 [in hydras.Ackermann.codeList]
Hrecs:84 [in hydras.Ackermann.codeList]
Hrecs:86 [in hydras.Ackermann.codeList]
Hrecs:9 [in hydras.Ackermann.codeList]
Hrecs:90 [in hydras.Ackermann.codeList]
Hrecs:92 [in hydras.Ackermann.codeList]
Hrecs:94 [in hydras.Ackermann.codeList]
Hrecs:96 [in hydras.Ackermann.codeList]
hR:28 [in gaia_hydras.T1Bridge]
hs':140 [in hydras.Hydra.Hydra_Lemmas]
hs':142 [in hydras.Hydra.Hydra_Lemmas]
hs:139 [in hydras.Hydra.Hydra_Lemmas]
hs:141 [in hydras.Hydra.Hydra_Lemmas]
hs:8 [in gaia_hydras.GHydra]
hs:9 [in gaia_hydras.GHydra]
Htrans:18 [in hydras.Prelude.Sort_spec]
Htrans:21 [in hydras.Prelude.Sort_spec]
Htrans:25 [in hydras.Prelude.Sort_spec]
Hvar:2 [in hydras.Hydra.Omega2_Small]
Hvar:2 [in hydras.Hydra.Omega_Small]
Hwf:130 [in hydras.Hydra.Hydra_Lemmas]
Hwf:21 [in hydras.solutions_exercises.T1_ltNotWf]
HX:142 [in hydras.Schutte.Schutte_basics]
HX:145 [in hydras.Schutte.Schutte_basics]
Hx:27 [in hydras.Prelude.Restriction]
Hx:31 [in hydras.Prelude.Restriction]
Hx:38 [in hydras.Prelude.Restriction]
HX:61 [in hydras.Schutte.Well_Orders]
Hyp1:20 [in hydras.Ackermann.folProof]
Hyp2:21 [in hydras.Ackermann.folProof]
hyp:220 [in hydras.Ackermann.fol]
hyp:221 [in hydras.Ackermann.fol]
hyp:222 [in hydras.Ackermann.fol]
Hyp:24 [in hydras.Ackermann.folProof]
Hyp:46 [in hydras.Ackermann.folProof]
Hyp:48 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Hy'':5 [in hydras.Hydra.Hydra_Examples]
Hy:28 [in hydras.Prelude.Restriction]
Hy:4 [in hydras.Hydra.Epsilon0_Needed_Std]
Hy:5 [in hydras.Hydra.Epsilon0_Needed_Free]
Hy:6 [in hydras.Hydra.Epsilon0_Needed_Generic]
h'':100 [in hydras.Hydra.Hydra_Definitions]
h'':135 [in hydras.Hydra.Hydra_Definitions]
h'':83 [in hydras.Hydra.Hydra_Lemmas]
h':100 [in hydras.Hydra.O2H]
h':101 [in hydras.Hydra.Hydra_Definitions]
h':107 [in hydras.Hydra.Hydra_Lemmas]
H':108 [in hydras.OrdinalNotations.OmegaOmega]
h':110 [in hydras.Hydra.Hydra_Definitions]
h':113 [in hydras.Hydra.Hydra_Definitions]
h':115 [in hydras.Hydra.Hydra_Lemmas]
h':116 [in hydras.Hydra.Hydra_Definitions]
h':118 [in hydras.Hydra.Hydra_Lemmas]
h':12 [in gaia_hydras.GHydra]
h':121 [in hydras.Hydra.Hydra_Definitions]
h':122 [in hydras.Hydra.Hydra_Lemmas]
h':124 [in hydras.Hydra.Hydra_Lemmas]
h':124 [in hydras.Hydra.Hydra_Definitions]
h':13 [in hydras.Hydra.Hydra_Definitions]
h':130 [in hydras.Hydra.Hydra_Definitions]
h':132 [in hydras.Hydra.Hydra_Lemmas]
h':134 [in hydras.Hydra.Hydra_Lemmas]
h':134 [in hydras.Hydra.Hydra_Definitions]
h':138 [in hydras.Hydra.Hydra_Lemmas]
h':14 [in gaia_hydras.GHydra]
h':141 [in hydras.Hydra.Hydra_Definitions]
h':152 [in hydras.Hydra.Hydra_Definitions]
h':167 [in hydras.Hydra.Hydra_Definitions]
h':178 [in hydras.Prelude.Iterates]
h':19 [in hydras.Hydra.Hydra_Lemmas]
h':2 [in hydras.Hydra.Hydra_Examples]
h':23 [in hydras.Hydra.Hydra_Termination]
h':25 [in hydras.Hydra.Hydra_Termination]
H':28 [in hydras.Epsilon0.E0]
h':3 [in hydras.Hydra.Hydra_Examples]
h':35 [in hydras.Hydra.Hydra_Termination]
h':36 [in hydras.Hydra.O2H]
h':4 [in hydras.Hydra.Hydra_Examples]
h':44 [in hydras.Hydra.Hydra_Termination]
h':46 [in hydras.Hydra.Hydra_Termination]
H':489 [in hydras.Epsilon0.T1]
h':49 [in hydras.Hydra.Hydra_Termination]
H':493 [in hydras.Epsilon0.T1]
h':51 [in hydras.Hydra.O2H]
h':51 [in hydras.Hydra.Hydra_Termination]
H':696 [in hydras.Gamma0.Gamma0]
h':7 [in hydras.Hydra.Epsilon0_Needed_Free]
h':71 [in hydras.Hydra.Hydra_Lemmas]
h':72 [in hydras.Hydra.Hydra_Definitions]
h':76 [in hydras.Hydra.Hydra_Lemmas]
h':80 [in hydras.Hydra.Hydra_Lemmas]
h':82 [in hydras.Hydra.Hydra_Lemmas]
h':86 [in hydras.Hydra.Hydra_Definitions]
h':9 [in hydras.Hydra.Epsilon0_Needed_Generic]
h':90 [in hydras.Hydra.O2H]
h':93 [in hydras.Hydra.O2H]
h':93 [in hydras.Hydra.Hydra_Definitions]
h':95 [in hydras.Hydra.Hydra_Definitions]
h':98 [in hydras.Hydra.Hydra_Definitions]
H0:21 [in hydras.Epsilon0.F_omega]
H0:294 [in hydras.rpo.rpo]
H0:296 [in hydras.rpo.rpo]
H0:298 [in hydras.rpo.rpo]
h0:35 [in hydras.Prelude.Restriction]
h0:41 [in hydras.Prelude.Restriction]
H0:47 [in hydras.Ackermann.LNN2LNT]
h0:6 [in hydras.Hydra.Epsilon0_Needed_Std]
H0:7 [in hydras.Prelude.Compat815]
H0:73 [in hydras.Ackermann.LNN2LNT]
h0:73 [in hydras.Hydra.Hydra_Lemmas]
H0:76 [in hydras.Ackermann.LNN2LNT]
H0:79 [in hydras.Ackermann.LNN2LNT]
H0:82 [in hydras.Ackermann.LNN2LNT]
H0:85 [in hydras.Ackermann.LNN2LNT]
H0:88 [in hydras.Ackermann.LNN2LNT]
h0:9 [in hydras.Hydra.Epsilon0_Needed_Std]
H0:91 [in hydras.Ackermann.LNN2LNT]
H0:94 [in hydras.Ackermann.LNN2LNT]
h1:119 [in hydras.Ackermann.primRec]
H1:310 [in hydras.rpo.rpo]
H1:312 [in hydras.rpo.rpo]
H1:32 [in hydras.MoreAck.FolExamples]
h1:36 [in hydras.Hydra.Hydra_Lemmas]
H1:371 [in hydras.Epsilon0.T1]
H1:373 [in hydras.Epsilon0.T1]
h1:41 [in hydras.Hydra.Hydra_Lemmas]
H1:48 [in hydras.Ackermann.LNN2LNT]
H1:60 [in hydras.Epsilon0.T1]
H1:62 [in hydras.Epsilon0.T1]
H1:74 [in hydras.Ackermann.LNN2LNT]
H1:77 [in hydras.Ackermann.LNN2LNT]
H1:8 [in hydras.Prelude.Compat815]
H1:80 [in hydras.Ackermann.LNN2LNT]
H1:83 [in hydras.Ackermann.LNN2LNT]
H1:86 [in hydras.Ackermann.LNN2LNT]
H1:89 [in hydras.Ackermann.LNN2LNT]
H1:92 [in hydras.Ackermann.LNN2LNT]
H1:95 [in hydras.Ackermann.LNN2LNT]
H2:10 [in hydras.Prelude.Compat815]
h2:120 [in hydras.Ackermann.primRec]
H2:33 [in hydras.MoreAck.FolExamples]
h2:37 [in hydras.Hydra.Hydra_Lemmas]
H2:374 [in hydras.Epsilon0.T1]
h2:42 [in hydras.Hydra.Hydra_Lemmas]
H2:63 [in hydras.Epsilon0.T1]
h:1 [in hydras.Hydra.Hydra_Examples]
h:1 [in hydras.Hydra.Hydra_Termination]
h:1 [in gaia_hydras.GHydra]
h:1 [in hydras.Hydra.Hydra_Lemmas]
h:10 [in hydras.Ackermann.primRec]
h:10 [in gaia_hydras.GHydra]
h:10 [in hydras.Hydra.Hydra_Lemmas]
h:105 [in hydras.Hydra.Hydra_Lemmas]
h:106 [in hydras.Hydra.Hydra_Definitions]
H:107 [in hydras.OrdinalNotations.OmegaOmega]
h:109 [in hydras.Hydra.Hydra_Definitions]
h:11 [in hydras.Hydra.Hydra_Termination]
h:11 [in hydras.Hydra.Epsilon0_Needed_Std]
h:11 [in gaia_hydras.GHydra]
h:11 [in hydras.Hydra.Epsilon0_Needed_Generic]
H:11 [in hydras.Schutte.Countable]
h:110 [in hydras.Ackermann.folLogic]
h:112 [in hydras.Hydra.Hydra_Definitions]
h:114 [in hydras.Hydra.Hydra_Lemmas]
h:114 [in hydras.Hydra.Hydra_Definitions]
h:117 [in hydras.Hydra.Hydra_Lemmas]
h:12 [in hydras.solutions_exercises.MorePRExamples]
h:12 [in hydras.Hydra.Hydra_Definitions]
h:120 [in hydras.Ackermann.LNT]
h:120 [in additions.fib]
h:120 [in hydras.Hydra.Hydra_Definitions]
h:121 [in hydras.Hydra.Hydra_Lemmas]
h:123 [in hydras.Ackermann.LNN]
h:123 [in hydras.Hydra.Hydra_Lemmas]
h:123 [in hydras.Hydra.Hydra_Definitions]
h:125 [in hydras.Ackermann.folLogic]
h:129 [in hydras.Hydra.Hydra_Definitions]
h:13 [in hydras.Ackermann.primRec]
h:13 [in gaia_hydras.GHydra]
H:13 [in hydras.MoreAck.PrimRecExamples]
h:132 [in hydras.Hydra.Hydra_Definitions]
h:133 [in hydras.Hydra.Hydra_Lemmas]
h:135 [in hydras.Ackermann.LNT]
h:135 [in hydras.Hydra.Hydra_Lemmas]
h:137 [in hydras.Hydra.Hydra_Lemmas]
h:138 [in hydras.Ackermann.LNN]
h:138 [in hydras.Hydra.Hydra_Definitions]
H:14 [in hydras.MoreAck.BadSubst]
H:14 [in hydras.Prelude.Sort_spec]
h:142 [in hydras.Hydra.Hydra_Definitions]
h:144 [in hydras.Hydra.Hydra_Lemmas]
h:146 [in hydras.Hydra.Hydra_Lemmas]
h:149 [in hydras.Hydra.Hydra_Lemmas]
h:15 [in hydras.Hydra.Hydra_Termination]
h:151 [in hydras.Hydra.Hydra_Definitions]
h:152 [in hydras.Hydra.Hydra_Lemmas]
h:155 [in hydras.Hydra.Hydra_Lemmas]
H:157 [in hydras.Prelude.Iterates]
H:16 [in hydras.Prelude.First_toggle]
h:162 [in hydras.Hydra.Hydra_Definitions]
H:166 [in hydras.Ackermann.primRec]
h:166 [in hydras.Hydra.Hydra_Definitions]
H:172 [in hydras.Ackermann.folProp]
H:174 [in hydras.Ackermann.primRec]
h:175 [in hydras.Prelude.Iterates]
H:179 [in hydras.Ackermann.folProp]
H:18 [in hydras.Epsilon0.F_omega]
h:18 [in hydras.Hydra.Hydra_Lemmas]
H:182 [in hydras.Ackermann.primRec]
H:188 [in hydras.Ackermann.folProp]
H:193 [in hydras.Ackermann.primRec]
H:195 [in hydras.Ackermann.folProp]
H:201 [in hydras.Schutte.Schutte_basics]
H:204 [in hydras.Ackermann.folProp]
H:204 [in hydras.Ackermann.primRec]
h:205 [in hydras.Prelude.Iterates]
H:21 [in hydras.Schutte.MoreEpsilonIota]
H:211 [in hydras.Ackermann.folProp]
H:215 [in hydras.Ackermann.primRec]
h:22 [in hydras.Hydra.Hydra_Termination]
H:22 [in hydras.Prelude.STDPP_compat]
H:220 [in hydras.Ackermann.folProp]
H:227 [in hydras.Ackermann.folProp]
H:24 [in hydras.Prelude.Restriction]
h:24 [in hydras.Schutte.Critical]
H:24 [in hydras.Schutte.MoreEpsilonIota]
h:24 [in hydras.Hydra.Hydra_Termination]
H:24 [in hydras.Prelude.STDPP_compat]
h:24 [in hydras.Hydra.Hydra_Definitions]
H:25 [in hydras.Epsilon0.E0]
H:251 [in hydras.Ackermann.folProp]
H:258 [in hydras.Ackermann.folProp]
h:26 [in gaia_hydras.GHydra]
H:265 [in hydras.Ackermann.cPair]
H:267 [in hydras.Ackermann.folProp]
H:27 [in hydras.Epsilon0.E0]
H:274 [in hydras.Ackermann.folProp]
h:28 [in hydras.Hydra.O2H]
H:28 [in hydras.Schutte.Critical]
H:29 [in hydras.Prelude.Restriction]
h:30 [in hydras.Hydra.Hydra_Definitions]
H:300 [in hydras.Ackermann.folProp]
H:307 [in hydras.Ackermann.folProp]
H:316 [in hydras.Ackermann.folProp]
h:32 [in hydras.Hydra.O2H]
H:323 [in hydras.Ackermann.folProp]
h:329 [in Goedel.PRrepresentable]
H:33 [in hydras.MoreAck.AckNotPR]
H:33 [in hydras.Schutte.Critical]
H:332 [in hydras.Ackermann.folProp]
h:334 [in Goedel.PRrepresentable]
h:339 [in Goedel.PRrepresentable]
H:339 [in hydras.Ackermann.folProp]
h:34 [in hydras.Hydra.Hydra_Termination]
H:34 [in hydras.MoreAck.FolExamples]
H:348 [in hydras.Ackermann.folProp]
h:35 [in hydras.Hydra.O2H]
H:355 [in hydras.Ackermann.folProp]
h:36 [in hydras.Prelude.Restriction]
h:36 [in hydras.Hydra.Hydra_Definitions]
H:364 [in hydras.Ackermann.folProp]
h:365 [in hydras.Ackermann.primRec]
H:369 [in hydras.Epsilon0.T1]
H:37 [in hydras.Schutte.Ordering_Functions]
H:370 [in hydras.Epsilon0.T1]
H:371 [in hydras.Ackermann.folProp]
H:372 [in hydras.Epsilon0.T1]
h:38 [in hydras.MoreAck.AckNotPR]
H:38 [in hydras.Schutte.Critical]
H:38 [in hydras.Hydra.Hydra_Termination]
H:380 [in hydras.Ackermann.folProp]
H:385 [in hydras.Epsilon0.Paths]
H:387 [in hydras.Ackermann.folProp]
h:40 [in hydras.Hydra.O2H]
h:40 [in hydras.Ackermann.folLogic]
H:41 [in hydras.Hydra.Hydra_Termination]
h:41 [in hydras.Hydra.Hydra_Definitions]
h:42 [in hydras.Prelude.Restriction]
H:42 [in hydras.Schutte.Critical]
H:423 [in hydras.Epsilon0.T1]
h:43 [in hydras.Hydra.Hydra_Termination]
H:44 [in hydras.Schutte.Correctness_E0]
h:44 [in hydras.Ackermann.folLogic]
h:45 [in hydras.Prelude.Iterates]
h:45 [in hydras.Hydra.O2H]
H:45 [in hydras.Prelude.Restriction]
h:45 [in hydras.Hydra.Hydra_Termination]
H:46 [in hydras.Ackermann.LNN2LNT]
h:47 [in hydras.Hydra.Hydra_Termination]
h:48 [in hydras.Hydra.Hydra_Termination]
H:487 [in hydras.Epsilon0.T1]
H:491 [in hydras.Epsilon0.T1]
H:5 [in hydras.Hydra.Hydra_Theorems]
h:5 [in hydras.Hydra.Epsilon0_Needed_Std]
h:5 [in hydras.Hydra.Hydra_Lemmas]
h:50 [in hydras.Ackermann.LNT]
H:50 [in hydras.Schutte.Critical]
h:50 [in hydras.Hydra.Hydra_Termination]
h:50 [in hydras.Hydra.Hydra_Lemmas]
h:53 [in hydras.Ackermann.LNN]
H:54 [in hydras.Prelude.Iterates]
h:54 [in hydras.Ackermann.LNT]
h:54 [in hydras.Hydra.Hydra_Definitions]
H:55 [in hydras.MoreAck.AckNotPR]
h:55 [in hydras.Hydra.Hydra_Lemmas]
h:57 [in hydras.Ackermann.LNN]
H:58 [in hydras.Epsilon0.T1]
H:59 [in hydras.Epsilon0.T1]
h:59 [in hydras.Prelude.Iterates]
h:6 [in hydras.Hydra.Epsilon0_Needed_Free]
h:6 [in hydras.Hydra.Hydra_Examples]
h:60 [in hydras.Hydra.Hydra_Lemmas]
h:60 [in hydras.Hydra.Hydra_Definitions]
H:61 [in hydras.Epsilon0.T1]
h:63 [in gaia_hydras.nfwfgaia]
h:64 [in hydras.Prelude.Iterates]
H:64 [in hydras.Prelude.MoreLists]
h:65 [in hydras.Hydra.Hydra_Lemmas]
h:66 [in hydras.Hydra.Hydra_Lemmas]
h:660 [in hydras.Ackermann.primRec]
h:67 [in hydras.Prelude.Iterates]
H:68 [in hydras.Schutte.Correctness_E0]
h:69 [in hydras.Ackermann.primRec]
h:69 [in hydras.Hydra.Hydra_Lemmas]
H:695 [in hydras.Gamma0.Gamma0]
h:7 [in hydras.Hydra.Hydra_Examples]
h:7 [in hydras.Hydra.Hydra_Termination]
h:7 [in gaia_hydras.GHydra]
h:71 [in hydras.Hydra.Hydra_Definitions]
H:711 [in hydras.Epsilon0.T1]
H:72 [in hydras.Schutte.Correctness_E0]
H:72 [in hydras.Ackermann.LNN2LNT]
h:73 [in hydras.Hydra.Hydra_Definitions]
H:75 [in hydras.Schutte.Correctness_E0]
h:75 [in hydras.Hydra.Hydra_Lemmas]
H:78 [in hydras.Ackermann.LNN2LNT]
h:78 [in hydras.Hydra.Hydra_Lemmas]
H:8 [in hydras.Schutte.Critical]
h:8 [in hydras.Hydra.Hydra_Examples]
h:8 [in hydras.Hydra.Epsilon0_Needed_Generic]
H:8 [in hydras.Schutte.Countable]
h:81 [in hydras.Hydra.Hydra_Lemmas]
H:84 [in hydras.Prelude.Iterates]
H:84 [in hydras.Ackermann.LNN2LNT]
h:85 [in hydras.Hydra.Hydra_Definitions]
h:88 [in hydras.Hydra.Hydra_Lemmas]
h:88 [in hydras.Hydra.Hydra_Definitions]
h:9 [in hydras.solutions_exercises.MinPR2]
h:9 [in hydras.Hydra.Hydra_Examples]
H:90 [in hydras.Ackermann.LNN2LNT]
h:91 [in hydras.Hydra.Hydra_Lemmas]
h:92 [in hydras.Hydra.O2H]
h:92 [in hydras.Hydra.Hydra_Definitions]
h:93 [in hydras.Hydra.Hydra_Lemmas]
h:94 [in hydras.Hydra.Hydra_Definitions]
h:96 [in hydras.Hydra.O2H]
h:96 [in hydras.Hydra.Hydra_Lemmas]
h:97 [in hydras.Hydra.Hydra_Definitions]
h:98 [in hydras.Hydra.O2H]
h:99 [in hydras.Hydra.Hydra_Definitions]

I

idn:126 [in additions.fib]
id:118 [in additions.fib]
IHn:102 [in hydras.MoreAck.AckNotPR]
inhX:45 [in hydras.Schutte.Well_Orders]
inh:2 [in hydras.Schutte.MoreEpsilonIota]
inh:53 [in hydras.Schutte.Well_Orders]
inh:58 [in hydras.Schutte.Well_Orders]
input:61 [in hydras.Ackermann.codeSubFormula]
invar:18 [in hydras.Prelude.First_toggle]
iota:101 [in hydras.OrdinalNotations.ON_Generic]
iota:114 [in hydras.OrdinalNotations.ON_Generic]
iota:129 [in hydras.OrdinalNotations.ON_Generic]
iota:141 [in hydras.OrdinalNotations.ON_Generic]
iota:154 [in hydras.OrdinalNotations.ON_Generic]
iota:38 [in hydras.OrdinalNotations.ON_Generic]
iota:71 [in hydras.OrdinalNotations.ON_Generic]
iota:89 [in hydras.OrdinalNotations.ON_Generic]
i':179 [in hydras.Prelude.Iterates]
i:1 [in hydras.OrdinalNotations.ON_Omega2]
i:1 [in hydras.Prelude.MoreLists]
i:1 [in gaia_hydras.GPaths]
i:1 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:1 [in hydras.OrdinalNotations.ON_Omega]
i:1 [in hydras.Epsilon0.Paths]
i:10 [in hydras.Prelude.First_toggle]
i:10 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:10 [in hydras.Hydra.Epsilon0_Needed_Std]
i:10 [in hydras.Hydra.BigBattle]
i:10 [in hydras.Hydra.Omega2_Small]
i:10 [in gaia_hydras.GL_alpha]
i:101 [in hydras.Prelude.Iterates]
i:102 [in hydras.Prelude.MoreLists]
i:102 [in hydras.OrdinalNotations.OmegaOmega]
i:103 [in hydras.Epsilon0.Canon]
i:104 [in hydras.Epsilon0.F_alpha]
i:104 [in hydras.Hydra.Hydra_Lemmas]
i:104 [in gaia_hydras.nfwfgaia]
i:105 [in hydras.Prelude.MoreLists]
i:106 [in gaia_hydras.nfwfgaia]
i:108 [in hydras.Epsilon0.T1]
i:108 [in hydras.Epsilon0.F_alpha]
i:108 [in hydras.Epsilon0.Canon]
i:109 [in hydras.Epsilon0.F_alpha]
i:109 [in hydras.Epsilon0.Large_Sets]
i:11 [in hydras.Hydra.O2H]
i:11 [in hydras.solutions_exercises.Limit_Infinity]
i:11 [in gaia_hydras.GPaths]
i:11 [in hydras.Epsilon0.Canon]
i:11 [in hydras.solutions_exercises.T1_ltNotWf]
i:110 [in hydras.Epsilon0.F_alpha]
i:110 [in hydras.Epsilon0.Canon]
i:111 [in hydras.Epsilon0.F_alpha]
i:111 [in hydras.Epsilon0.Large_Sets]
i:112 [in hydras.Epsilon0.Large_Sets]
i:112 [in hydras.Epsilon0.Canon]
i:112 [in hydras.Epsilon0.E0]
i:113 [in hydras.Epsilon0.F_alpha]
i:113 [in hydras.Epsilon0.Large_Sets]
i:114 [in hydras.Epsilon0.Large_Sets]
i:115 [in hydras.Epsilon0.Large_Sets]
i:115 [in hydras.Epsilon0.Canon]
i:116 [in hydras.Epsilon0.Large_Sets]
i:116 [in hydras.Hydra.Hydra_Lemmas]
i:119 [in hydras.Hydra.Hydra_Lemmas]
i:119 [in hydras.Hydra.Hydra_Definitions]
i:12 [in gaia_hydras.GF_alpha]
i:12 [in hydras.solutions_exercises.Limit_Infinity]
i:12 [in hydras.Epsilon0.Canon]
i:12 [in hydras.Hydra.Omega2_Small]
i:122 [in hydras.Epsilon0.F_alpha]
i:123 [in hydras.Schutte.Schutte_basics]
i:125 [in hydras.Hydra.Hydra_Lemmas]
i:126 [in hydras.Schutte.Schutte_basics]
i:127 [in additions.fib]
i:128 [in hydras.Schutte.Schutte_basics]
i:128 [in additions.fib]
i:128 [in hydras.Hydra.Hydra_Definitions]
i:129 [in additions.fib]
i:13 [in hydras.solutions_exercises.Limit_Infinity]
i:13 [in hydras.Hydra.Epsilon0_Needed_Generic]
i:13 [in hydras.Epsilon0.Paths]
i:130 [in additions.fib]
i:131 [in additions.fib]
i:131 [in hydras.Hydra.Hydra_Definitions]
i:132 [in hydras.Prelude.Iterates]
i:132 [in additions.fib]
i:133 [in additions.fib]
i:14 [in hydras.Hydra.O2H]
i:14 [in hydras.solutions_exercises.Limit_Infinity]
i:14 [in gaia_hydras.GCanon]
i:14 [in hydras.Hydra.Epsilon0_Needed_Std]
i:14 [in hydras.Epsilon0.Canon]
i:14 [in hydras.Hydra.Hydra_Lemmas]
i:14 [in hydras.Hydra.Epsilon0_Needed_Generic]
i:14 [in hydras.Hydra.Omega2_Small]
i:14 [in gaia_hydras.GL_alpha]
i:140 [in gaia_hydras.T1Bridge]
i:142 [in hydras.rpo.term]
i:142 [in hydras.Prelude.Iterates]
i:143 [in hydras.Hydra.Hydra_Definitions]
i:15 [in hydras.Epsilon0.Large_Sets]
i:15 [in gaia_hydras.GLarge_Sets]
i:15 [in hydras.Epsilon0.Paths]
i:150 [in additions.fib]
i:150 [in hydras.Hydra.Hydra_Definitions]
i:153 [in hydras.Prelude.MoreLists]
i:156 [in hydras.Prelude.MoreLists]
i:157 [in gaia_hydras.T1Bridge]
i:158 [in hydras.Prelude.Iterates]
i:159 [in hydras.Prelude.MoreLists]
i:159 [in hydras.Epsilon0.F_alpha]
i:159 [in gaia_hydras.T1Bridge]
i:16 [in hydras.Hydra.O2H]
i:16 [in hydras.solutions_exercises.Limit_Infinity]
i:16 [in gaia_hydras.GCanon]
i:16 [in hydras.Epsilon0.Canon]
i:16 [in gaia_hydras.GL_alpha]
i:161 [in hydras.Epsilon0.F_alpha]
i:162 [in hydras.Prelude.Iterates]
i:163 [in hydras.rpo.term]
i:1638 [in gaia_hydras.nfwfgaia]
i:164 [in hydras.Epsilon0.F_alpha]
i:1641 [in gaia_hydras.nfwfgaia]
i:1644 [in gaia_hydras.nfwfgaia]
i:165 [in hydras.Hydra.Hydra_Definitions]
i:166 [in hydras.Epsilon0.F_alpha]
i:167 [in hydras.Prelude.Iterates]
i:169 [in hydras.Epsilon0.F_alpha]
i:17 [in gaia_hydras.GF_alpha]
i:17 [in additions.Compatibility]
i:17 [in hydras.Prelude.First_toggle]
i:17 [in hydras.Epsilon0.Large_Sets]
i:17 [in hydras.Epsilon0.E0]
i:171 [in hydras.rpo.term]
i:172 [in hydras.Epsilon0.F_alpha]
i:173 [in hydras.Epsilon0.F_alpha]
i:174 [in hydras.Prelude.MoreLists]
i:175 [in hydras.Epsilon0.F_alpha]
i:176 [in hydras.Prelude.Iterates]
i:176 [in hydras.Epsilon0.Paths]
i:177 [in hydras.Prelude.MoreLists]
i:177 [in hydras.Epsilon0.F_alpha]
i:178 [in hydras.Epsilon0.Large_Sets]
i:179 [in hydras.Epsilon0.F_alpha]
i:179 [in hydras.Epsilon0.Paths]
i:18 [in gaia_hydras.GCanon]
i:18 [in hydras.Hydra.Epsilon0_Needed_Std]
i:18 [in hydras.Epsilon0.E0]
i:181 [in hydras.Prelude.MoreLists]
i:181 [in hydras.Schutte.Schutte_basics]
i:184 [in hydras.Prelude.MoreLists]
i:184 [in hydras.Schutte.Schutte_basics]
i:187 [in hydras.Schutte.Schutte_basics]
i:187 [in hydras.Epsilon0.Paths]
i:189 [in hydras.Epsilon0.Large_Sets]
i:189 [in hydras.Epsilon0.Paths]
i:19 [in hydras.Hydra.O2H]
i:19 [in gaia_hydras.GF_alpha]
i:19 [in hydras.Epsilon0.Large_Sets]
i:19 [in hydras.Hydra.BigBattle]
i:190 [in hydras.rpo.term]
i:190 [in hydras.Schutte.Schutte_basics]
i:191 [in hydras.Epsilon0.Large_Sets]
i:193 [in hydras.Schutte.Schutte_basics]
i:199 [in hydras.Schutte.Schutte_basics]
i:199 [in additions.Addition_Chains]
i:2 [in gaia_hydras.GHprime]
i:2 [in gaia_hydras.GCanon]
i:2 [in hydras.Epsilon0.L_alpha]
i:2 [in hydras.Epsilon0.Canon]
i:2 [in hydras.OrdinalNotations.ON_Finite]
i:2 [in gaia_hydras.GPrelude]
i:2 [in hydras.solutions_exercises.ge_omega_iff]
i:2 [in hydras.Epsilon0.Hprime]
i:2 [in gaia_hydras.GL_alpha]
i:2 [in hydras.solutions_exercises.T1_ltNotWf]
i:20 [in hydras.OrdinalNotations.ON_Omega2]
i:20 [in gaia_hydras.GF_alpha]
i:20 [in gaia_hydras.GPaths]
i:20 [in hydras.Prelude.MoreOrders]
i:202 [in hydras.Epsilon0.Large_Sets]
i:202 [in hydras.Schutte.Schutte_basics]
i:204 [in hydras.Schutte.Schutte_basics]
i:204 [in hydras.Epsilon0.Paths]
i:205 [in hydras.Schutte.Schutte_basics]
i:206 [in hydras.Schutte.Schutte_basics]
i:207 [in hydras.Epsilon0.Paths]
i:208 [in hydras.Schutte.Schutte_basics]
i:21 [in hydras.Hydra.O2H]
i:21 [in gaia_hydras.GF_alpha]
i:21 [in additions.More_on_positive]
i:21 [in hydras.Epsilon0.Large_Sets]
i:21 [in hydras.Schutte.AP]
i:21 [in hydras.Hydra.Epsilon0_Needed_Std]
i:21 [in hydras.Epsilon0.Canon]
i:210 [in hydras.Epsilon0.Paths]
i:214 [in hydras.Epsilon0.Paths]
i:217 [in hydras.Epsilon0.Paths]
i:218 [in hydras.Prelude.MoreLists]
i:22 [in gaia_hydras.GF_alpha]
i:22 [in gaia_hydras.GCanon]
i:22 [in hydras.Schutte.AP]
i:22 [in hydras.Prelude.MoreOrders]
i:221 [in hydras.Epsilon0.Paths]
i:226 [in hydras.Epsilon0.Paths]
i:23 [in gaia_hydras.GPaths]
i:23 [in hydras.solutions_exercises.T1_ltNotWf]
i:230 [in hydras.Schutte.Schutte_basics]
i:233 [in hydras.Prelude.Iterates]
i:237 [in hydras.Prelude.Iterates]
i:24 [in hydras.OrdinalNotations.ON_Omega2]
i:24 [in hydras.Hydra.O2H]
i:24 [in gaia_hydras.GCanon]
i:24 [in hydras.Schutte.AP]
i:24 [in hydras.Epsilon0.Canon]
i:24 [in additions.fib]
i:240 [in hydras.Prelude.Iterates]
i:241 [in gaia_hydras.nfwfgaia]
i:244 [in hydras.Prelude.Iterates]
i:244 [in gaia_hydras.nfwfgaia]
i:247 [in gaia_hydras.nfwfgaia]
i:248 [in hydras.Prelude.Iterates]
i:25 [in hydras.Schutte.Schutte_basics]
i:25 [in additions.fib]
i:26 [in gaia_hydras.GCanon]
i:26 [in hydras.Schutte.MoreEpsilonIota]
i:26 [in hydras.Hydra.Epsilon0_Needed_Std]
i:26 [in additions.fib]
i:267 [in hydras.Epsilon0.Paths]
i:27 [in gaia_hydras.GPaths]
i:27 [in hydras.Prelude.MoreOrders]
i:271 [in hydras.Epsilon0.Paths]
i:28 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:28 [in hydras.Epsilon0.F_omega]
i:28 [in hydras.Hydra.Epsilon0_Needed_Std]
i:28 [in hydras.Hydra.BigBattle]
i:28 [in hydras.Epsilon0.Canon]
i:28 [in hydras.Epsilon0.Paths]
i:280 [in hydras.Epsilon0.Paths]
i:283 [in hydras.Epsilon0.Paths]
i:286 [in hydras.Epsilon0.Paths]
i:29 [in hydras.Prelude.MoreOrders]
i:29 [in additions.fib]
i:29 [in gaia_hydras.GL_alpha]
i:299 [in hydras.Epsilon0.Paths]
i:3 [in hydras.solutions_exercises.is_F_monotonous]
i:3 [in gaia_hydras.GHprime]
i:3 [in gaia_hydras.GCanon]
i:3 [in hydras.Schutte.AP]
i:3 [in gaia_hydras.GL_alpha]
i:3 [in hydras.Hydra.Omega_Small]
i:30 [in gaia_hydras.GCanon]
i:30 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:30 [in hydras.solutions_exercises.MultisetWf]
i:30 [in hydras.Epsilon0.Canon]
i:30 [in hydras.Epsilon0.Paths]
i:31 [in gaia_hydras.GCanon]
i:31 [in hydras.Epsilon0.L_alpha]
i:31 [in hydras.Epsilon0.Hprime]
i:310 [in hydras.Epsilon0.Paths]
i:315 [in hydras.Epsilon0.Paths]
i:318 [in hydras.Epsilon0.Paths]
i:32 [in hydras.Prelude.MoreLists]
i:322 [in hydras.rpo.term]
i:324 [in hydras.Epsilon0.Paths]
i:327 [in hydras.Epsilon0.Paths]
i:33 [in hydras.Prelude.MoreLists]
i:33 [in hydras.Epsilon0.L_alpha]
i:33 [in hydras.Epsilon0.Canon]
i:33 [in hydras.Epsilon0.Hprime]
i:331 [in hydras.Epsilon0.Paths]
i:333 [in hydras.Epsilon0.Paths]
i:337 [in hydras.Epsilon0.Paths]
i:341 [in hydras.rpo.term]
i:341 [in hydras.Epsilon0.Paths]
i:345 [in hydras.Epsilon0.Paths]
i:349 [in hydras.rpo.term]
i:349 [in hydras.Epsilon0.Paths]
i:35 [in hydras.Prelude.MoreLists]
i:35 [in hydras.rpo.more_list]
i:35 [in additions.More_on_positive]
i:35 [in hydras.Epsilon0.L_alpha]
i:35 [in hydras.Hydra.BigBattle]
i:35 [in hydras.Epsilon0.Hprime]
i:353 [in hydras.Epsilon0.Paths]
i:358 [in additions.Euclidean_Chains]
i:36 [in gaia_hydras.GCanon]
i:36 [in hydras.Epsilon0.Canon]
i:36 [in hydras.MoreAck.PrimRecExamples]
i:360 [in hydras.Epsilon0.Paths]
i:364 [in additions.Euclidean_Chains]
i:365 [in hydras.rpo.term]
i:367 [in hydras.rpo.term]
i:37 [in hydras.OrdinalNotations.ON_Omega2]
i:37 [in additions.More_on_positive]
i:37 [in gaia_hydras.GCanon]
i:37 [in hydras.Epsilon0.L_alpha]
i:37 [in hydras.Epsilon0.F_omega]
i:37 [in hydras.Epsilon0.Hprime]
i:370 [in additions.Euclidean_Chains]
i:372 [in hydras.rpo.term]
i:377 [in additions.Euclidean_Chains]
i:38 [in hydras.Epsilon0.L_alpha]
i:38 [in hydras.Epsilon0.Hprime]
i:382 [in hydras.Epsilon0.Paths]
i:4 [in hydras.solutions_exercises.Limit_Infinity]
i:4 [in hydras.Epsilon0.F_alpha]
i:4 [in gaia_hydras.GCanon]
i:4 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:4 [in hydras.Prelude.Exp2]
i:4 [in hydras.Epsilon0.Paths]
i:4 [in hydras.Hydra.Omega_Small]
i:40 [in hydras.OrdinalNotations.ON_Omega2]
i:40 [in hydras.Schutte.Addition]
i:402 [in hydras.Epsilon0.Paths]
i:406 [in hydras.Epsilon0.Paths]
i:41 [in hydras.Epsilon0.F_alpha]
i:41 [in gaia_hydras.GCanon]
i:41 [in hydras.Epsilon0.Canon]
i:412 [in hydras.Epsilon0.Paths]
i:418 [in hydras.Epsilon0.Paths]
i:42 [in hydras.Epsilon0.L_alpha]
i:42 [in additions.fib]
i:42 [in hydras.Epsilon0.Hprime]
i:422 [in hydras.Epsilon0.Paths]
i:424 [in hydras.Epsilon0.T1]
i:426 [in hydras.Epsilon0.Paths]
i:43 [in hydras.Epsilon0.F_alpha]
i:43 [in gaia_hydras.GPaths]
i:430 [in hydras.Epsilon0.Paths]
i:432 [in hydras.Epsilon0.Paths]
i:436 [in hydras.Epsilon0.Paths]
i:44 [in hydras.OrdinalNotations.OmegaOmega]
i:44 [in gaia_hydras.nfwfgaia]
i:441 [in hydras.Epsilon0.Paths]
i:442 [in hydras.Epsilon0.Paths]
i:447 [in hydras.Epsilon0.Paths]
i:45 [in hydras.OrdinalNotations.ON_Omega2]
i:45 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:45 [in hydras.OrdinalNotations.OmegaOmega]
i:45 [in hydras.Epsilon0.Canon]
i:45 [in additions.fib]
i:45 [in hydras.Epsilon0.E0]
i:45 [in gaia_hydras.nfwfgaia]
i:451 [in hydras.Epsilon0.Paths]
i:453 [in hydras.Epsilon0.Paths]
i:457 [in hydras.Epsilon0.Paths]
i:46 [in hydras.Epsilon0.F_alpha]
i:46 [in gaia_hydras.GPaths]
i:46 [in gaia_hydras.GCanon]
i:46 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:46 [in hydras.Epsilon0.Canon]
i:46 [in gaia_hydras.nfwfgaia]
i:461 [in hydras.Epsilon0.Paths]
i:469 [in hydras.Epsilon0.Paths]
i:47 [in hydras.OrdinalNotations.OmegaOmega]
i:47 [in hydras.Hydra.BigBattle]
i:47 [in hydras.Epsilon0.Hprime]
i:47 [in hydras.MoreAck.FolExamples]
i:471 [in hydras.Epsilon0.Paths]
i:476 [in hydras.Epsilon0.Paths]
i:478 [in hydras.Epsilon0.Paths]
i:48 [in hydras.Prelude.MoreLists]
i:48 [in hydras.Epsilon0.F_alpha]
i:48 [in gaia_hydras.GPaths]
i:48 [in hydras.Epsilon0.Paths]
i:480 [in hydras.Epsilon0.Paths]
i:485 [in hydras.Epsilon0.Paths]
i:489 [in hydras.Epsilon0.Paths]
i:49 [in hydras.Prelude.MoreLists]
i:49 [in hydras.Epsilon0.Canon]
i:49 [in hydras.MoreAck.FolExamples]
i:492 [in hydras.Epsilon0.Paths]
i:496 [in hydras.Epsilon0.Paths]
i:5 [in hydras.OrdinalNotations.ON_Omega2]
i:5 [in hydras.solutions_exercises.is_F_monotonous]
i:5 [in hydras.Prelude.MoreLists]
i:5 [in gaia_hydras.GHprime]
i:5 [in hydras.Epsilon0.Large_Sets_Examples]
i:5 [in hydras.solutions_exercises.F_3]
i:5 [in hydras.Prelude.Exp2]
i:5 [in gaia_hydras.GL_alpha]
i:5 [in hydras.Hydra.Omega_Small]
i:5 [in hydras.solutions_exercises.T1_ltNotWf]
i:50 [in gaia_hydras.GPaths]
i:50 [in additions.More_on_positive]
i:500 [in hydras.Epsilon0.Paths]
i:504 [in hydras.Epsilon0.Paths]
i:51 [in hydras.Prelude.MoreLists]
i:51 [in hydras.Epsilon0.F_alpha]
i:51 [in hydras.Hydra.BigBattle]
i:51 [in hydras.Epsilon0.Canon]
i:51 [in additions.fib]
i:51 [in hydras.Hydra.Hydra_Lemmas]
i:51 [in hydras.Hydra.Hydra_Definitions]
i:514 [in hydras.Epsilon0.Paths]
i:52 [in hydras.OrdinalNotations.OmegaOmega]
i:520 [in hydras.Epsilon0.Paths]
i:522 [in hydras.Epsilon0.Paths]
i:527 [in hydras.Epsilon0.Paths]
i:53 [in hydras.Prelude.MoreLists]
i:53 [in gaia_hydras.GPaths]
i:53 [in additions.More_on_positive]
i:53 [in hydras.Epsilon0.Canon]
i:530 [in hydras.Epsilon0.Paths]
i:533 [in hydras.Epsilon0.Paths]
i:54 [in hydras.Epsilon0.F_alpha]
i:54 [in hydras.Epsilon0.L_alpha]
i:54 [in additions.fib]
i:54 [in hydras.Epsilon0.Paths]
i:544 [in hydras.Epsilon0.Paths]
i:545 [in hydras.Epsilon0.Paths]
i:546 [in hydras.Epsilon0.Paths]
i:55 [in hydras.Prelude.MoreLists]
i:55 [in hydras.Epsilon0.F_alpha]
i:55 [in gaia_hydras.GCanon]
i:55 [in hydras.OrdinalNotations.OmegaOmega]
i:55 [in hydras.Epsilon0.Canon]
i:55 [in hydras.Hydra.Hydra_Definitions]
i:554 [in hydras.Epsilon0.Paths]
i:56 [in hydras.Epsilon0.L_alpha]
i:56 [in hydras.Hydra.Hydra_Lemmas]
i:56 [in hydras.Epsilon0.Hprime]
i:560 [in hydras.Epsilon0.Paths]
i:567 [in hydras.Epsilon0.Paths]
i:57 [in hydras.Prelude.MoreLists]
i:57 [in hydras.Epsilon0.F_alpha]
i:57 [in additions.More_on_positive]
i:57 [in gaia_hydras.GCanon]
i:57 [in hydras.Epsilon0.Paths]
i:571 [in hydras.Epsilon0.Paths]
i:574 [in hydras.Epsilon0.Paths]
i:579 [in hydras.Epsilon0.Paths]
i:58 [in hydras.Epsilon0.Hprime]
i:580 [in hydras.Epsilon0.Paths]
i:585 [in hydras.Epsilon0.Paths]
i:588 [in hydras.Epsilon0.Paths]
i:59 [in hydras.Prelude.MoreLists]
i:59 [in hydras.Epsilon0.F_alpha]
i:59 [in hydras.Epsilon0.Canon]
i:59 [in additions.fib]
i:6 [in gaia_hydras.GCanon]
i:6 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:6 [in hydras.solutions_exercises.F_3]
i:6 [in hydras.Hydra.Omega2_Small]
i:60 [in hydras.Prelude.Iterates]
i:60 [in hydras.Epsilon0.F_alpha]
i:60 [in additions.More_on_positive]
i:60 [in gaia_hydras.GCanon]
i:60 [in hydras.Epsilon0.L_alpha]
i:61 [in hydras.Epsilon0.F_alpha]
i:61 [in hydras.Epsilon0.E0]
i:61 [in hydras.Hydra.Hydra_Lemmas]
i:61 [in hydras.Epsilon0.Hprime]
i:61 [in hydras.Epsilon0.Paths]
i:62 [in hydras.Epsilon0.F_alpha]
i:62 [in gaia_hydras.GPaths]
i:62 [in hydras.Hydra.BigBattle]
i:63 [in hydras.Epsilon0.Canon]
i:63 [in hydras.Epsilon0.E0]
i:64 [in hydras.Epsilon0.Canon]
i:64 [in hydras.Epsilon0.E0]
i:64 [in hydras.Hydra.Hydra_Lemmas]
i:64 [in hydras.Epsilon0.Paths]
i:65 [in hydras.OrdinalNotations.ON_Omega2]
i:65 [in hydras.Hydra.BigBattle]
i:65 [in hydras.Epsilon0.Canon]
i:66 [in gaia_hydras.GPaths]
i:66 [in hydras.Hydra.BigBattle]
i:66 [in hydras.Epsilon0.Canon]
i:67 [in hydras.Epsilon0.Large_Sets]
i:67 [in hydras.Epsilon0.Canon]
i:68 [in hydras.OrdinalNotations.ON_Omega2]
i:68 [in hydras.MoreAck.AckNotPR]
i:68 [in hydras.Epsilon0.Canon]
i:68 [in hydras.Hydra.Hydra_Lemmas]
i:68 [in hydras.MoreAck.PrimRecExamples]
i:687 [in hydras.Epsilon0.T1]
i:689 [in hydras.Epsilon0.T1]
i:69 [in gaia_hydras.GCanon]
i:69 [in hydras.Epsilon0.Large_Sets]
i:69 [in hydras.Epsilon0.Canon]
i:69 [in hydras.Epsilon0.Paths]
i:693 [in hydras.Epsilon0.T1]
i:696 [in hydras.Epsilon0.T1]
i:7 [in gaia_hydras.GHprime]
i:7 [in gaia_hydras.GPaths]
i:7 [in gaia_hydras.GCanon]
i:7 [in hydras.Hydra.Epsilon0_Needed_Std]
i:7 [in hydras.Epsilon0.Canon]
i:7 [in hydras.Hydra.Epsilon0_Needed_Generic]
i:7 [in gaia_hydras.GL_alpha]
i:70 [in hydras.MoreAck.AckNotPR]
i:70 [in hydras.Epsilon0.Large_Sets]
i:70 [in hydras.Hydra.BigBattle]
i:70 [in hydras.Epsilon0.Canon]
i:70 [in hydras.Epsilon0.Hprime]
i:702 [in hydras.Epsilon0.T1]
i:703 [in hydras.Epsilon0.T1]
i:71 [in gaia_hydras.GCanon]
i:71 [in hydras.Epsilon0.Large_Sets]
i:71 [in hydras.Schutte.AP]
i:71 [in hydras.Epsilon0.Canon]
i:71 [in hydras.Epsilon0.Paths]
i:717 [in hydras.Epsilon0.T1]
i:73 [in gaia_hydras.GPaths]
i:73 [in hydras.Epsilon0.Large_Sets]
i:73 [in hydras.Epsilon0.Paths]
i:74 [in hydras.Epsilon0.Large_Sets]
i:74 [in hydras.OrdinalNotations.OmegaOmega]
i:74 [in hydras.Epsilon0.Canon]
i:74 [in hydras.Hydra.Hydra_Lemmas]
i:75 [in hydras.OrdinalNotations.OmegaOmega]
i:75 [in hydras.MoreAck.PrimRecExamples]
i:76 [in hydras.Epsilon0.Canon]
i:77 [in hydras.Hydra.Hydra_Lemmas]
i:78 [in hydras.Epsilon0.Large_Sets]
i:78 [in hydras.Epsilon0.Canon]
i:79 [in gaia_hydras.GPaths]
i:79 [in hydras.Epsilon0.Large_Sets]
i:8 [in gaia_hydras.GPaths]
i:8 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
i:8 [in hydras.Hydra.Omega2_Small]
i:80 [in hydras.Epsilon0.Large_Sets]
i:81 [in hydras.Epsilon0.Large_Sets]
i:81 [in hydras.Epsilon0.Canon]
i:81 [in hydras.Epsilon0.Paths]
i:82 [in hydras.Prelude.MoreLists]
i:82 [in hydras.Epsilon0.Large_Sets]
i:83 [in hydras.Hydra.O2H]
i:83 [in hydras.Epsilon0.Paths]
i:84 [in hydras.Prelude.MoreLists]
i:84 [in hydras.Epsilon0.Large_Sets]
i:84 [in hydras.MoreAck.PrimRecExamples]
i:85 [in hydras.Gamma0.T2]
i:85 [in hydras.Hydra.O2H]
i:85 [in hydras.Hydra.Hydra_Lemmas]
i:85 [in hydras.Epsilon0.Paths]
i:86 [in hydras.Epsilon0.Hprime]
i:87 [in hydras.Epsilon0.Large_Sets]
i:87 [in hydras.Hydra.Hydra_Lemmas]
i:88 [in hydras.Prelude.MoreLists]
i:88 [in hydras.Epsilon0.Canon]
i:88 [in hydras.Epsilon0.E0]
i:89 [in hydras.Prelude.Iterates]
i:89 [in hydras.Prelude.MoreLists]
i:89 [in hydras.Epsilon0.Large_Sets]
i:89 [in hydras.Hydra.Hydra_Lemmas]
i:9 [in hydras.Prelude.MoreLists]
i:9 [in hydras.Hydra.Hydra_Lemmas]
i:9 [in hydras.Epsilon0.Paths]
i:9 [in gaia_hydras.GL_alpha]
i:90 [in hydras.Epsilon0.Large_Sets]
i:91 [in hydras.Epsilon0.Large_Sets]
i:91 [in hydras.Epsilon0.Paths]
i:92 [in hydras.Prelude.MoreLists]
i:92 [in hydras.Hydra.Hydra_Lemmas]
i:94 [in hydras.Prelude.MoreLists]
i:94 [in hydras.Epsilon0.E0]
i:95 [in hydras.Prelude.Iterates]
i:95 [in hydras.Hydra.O2H]
i:95 [in hydras.Epsilon0.Canon]
i:95 [in hydras.Hydra.Hydra_Lemmas]
i:96 [in hydras.OrdinalNotations.OmegaOmega]
i:97 [in hydras.Hydra.O2H]
i:97 [in hydras.Epsilon0.E0]
i:98 [in hydras.Epsilon0.F_alpha]
i:99 [in hydras.Epsilon0.Canon]

J

j:102 [in hydras.Prelude.Iterates]
j:103 [in hydras.Prelude.MoreLists]
j:106 [in hydras.Prelude.MoreLists]
j:106 [in hydras.Hydra.Hydra_Lemmas]
j:109 [in hydras.Epsilon0.T1]
j:11 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:11 [in hydras.Hydra.Omega2_Small]
j:12 [in hydras.Hydra.Epsilon0_Needed_Std]
j:120 [in hydras.Hydra.Hydra_Lemmas]
j:124 [in hydras.Prelude.Iterates]
j:125 [in hydras.Schutte.Schutte_basics]
j:126 [in hydras.Hydra.Hydra_Lemmas]
j:127 [in hydras.Prelude.Iterates]
j:127 [in hydras.Schutte.Schutte_basics]
j:129 [in hydras.Schutte.Schutte_basics]
j:13 [in hydras.Hydra.Omega2_Small]
j:130 [in hydras.Prelude.Iterates]
j:133 [in hydras.Hydra.Hydra_Definitions]
j:15 [in hydras.solutions_exercises.Limit_Infinity]
j:15 [in hydras.Hydra.Omega2_Small]
j:151 [in additions.fib]
j:154 [in hydras.Prelude.MoreLists]
j:155 [in hydras.rpo.term]
j:157 [in hydras.Prelude.MoreLists]
j:16 [in hydras.Hydra.Epsilon0_Needed_Std]
j:160 [in hydras.Prelude.MoreLists]
j:168 [in hydras.Prelude.Iterates]
j:17 [in hydras.solutions_exercises.Limit_Infinity]
j:182 [in hydras.Schutte.Schutte_basics]
j:183 [in hydras.Prelude.MoreLists]
j:185 [in hydras.Prelude.MoreLists]
j:194 [in hydras.Schutte.Schutte_basics]
j:200 [in additions.Addition_Chains]
j:203 [in hydras.Schutte.Schutte_basics]
j:21 [in hydras.OrdinalNotations.ON_Omega2]
j:23 [in hydras.Schutte.AP]
j:238 [in hydras.Prelude.Iterates]
j:243 [in hydras.Prelude.Iterates]
j:247 [in hydras.Prelude.Iterates]
j:25 [in hydras.OrdinalNotations.ON_Omega2]
j:25 [in gaia_hydras.GPaths]
j:25 [in hydras.Schutte.AP]
j:251 [in hydras.Prelude.Iterates]
j:29 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:3 [in gaia_hydras.GPrelude]
j:31 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:333 [in hydras.rpo.term]
j:338 [in hydras.Epsilon0.Paths]
j:34 [in hydras.Prelude.MoreLists]
j:36 [in hydras.Prelude.MoreLists]
j:39 [in hydras.Hydra.BigBattle]
j:404 [in hydras.Epsilon0.Paths]
j:408 [in hydras.Epsilon0.Paths]
j:41 [in hydras.Schutte.Addition]
j:414 [in hydras.Epsilon0.Paths]
j:416 [in hydras.Epsilon0.Paths]
j:42 [in hydras.OrdinalNotations.ON_Omega2]
j:420 [in hydras.Epsilon0.Paths]
j:424 [in hydras.Epsilon0.Paths]
j:428 [in hydras.Epsilon0.Paths]
j:43 [in additions.fib]
j:434 [in hydras.Epsilon0.Paths]
j:438 [in hydras.Epsilon0.Paths]
j:449 [in hydras.Epsilon0.Paths]
j:455 [in hydras.Epsilon0.Paths]
j:458 [in hydras.Epsilon0.Paths]
j:46 [in additions.fib]
j:463 [in hydras.Epsilon0.Paths]
j:465 [in hydras.Epsilon0.Paths]
j:47 [in hydras.Prelude.MoreLists]
j:481 [in hydras.Epsilon0.Paths]
j:49 [in hydras.OrdinalNotations.OmegaOmega]
j:493 [in hydras.Epsilon0.Paths]
j:497 [in hydras.Epsilon0.Paths]
j:5 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:50 [in hydras.Prelude.MoreLists]
j:501 [in hydras.Epsilon0.Paths]
j:506 [in hydras.Epsilon0.Paths]
j:515 [in hydras.Epsilon0.Paths]
j:52 [in additions.fib]
j:521 [in hydras.Epsilon0.Paths]
j:524 [in hydras.Epsilon0.Paths]
j:531 [in hydras.Epsilon0.Paths]
j:54 [in hydras.Prelude.MoreLists]
j:54 [in gaia_hydras.GPaths]
j:55 [in hydras.Hydra.BigBattle]
j:55 [in additions.fib]
j:555 [in hydras.Epsilon0.Paths]
j:559 [in hydras.Epsilon0.Paths]
j:568 [in hydras.Epsilon0.Paths]
j:57 [in hydras.OrdinalNotations.OmegaOmega]
j:575 [in hydras.Epsilon0.Paths]
j:58 [in hydras.Prelude.MoreLists]
j:6 [in hydras.OrdinalNotations.ON_Omega2]
j:6 [in hydras.Prelude.MoreLists]
j:6 [in hydras.Epsilon0.Large_Sets_Examples]
j:60 [in hydras.Prelude.MoreLists]
j:60 [in additions.fib]
j:61 [in hydras.Prelude.Iterates]
j:61 [in additions.More_on_positive]
j:61 [in gaia_hydras.GCanon]
j:63 [in gaia_hydras.GPaths]
j:65 [in hydras.Epsilon0.Paths]
j:66 [in hydras.OrdinalNotations.ON_Omega2]
j:69 [in hydras.OrdinalNotations.ON_Omega2]
j:7 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:7 [in hydras.Hydra.Omega2_Small]
j:70 [in hydras.Hydra.Hydra_Lemmas]
j:74 [in gaia_hydras.GPaths]
j:75 [in hydras.Epsilon0.Paths]
j:77 [in hydras.Epsilon0.Paths]
j:78 [in gaia_hydras.GPaths]
j:79 [in hydras.Epsilon0.Canon]
j:79 [in hydras.Hydra.Hydra_Lemmas]
j:8 [in hydras.Hydra.Epsilon0_Needed_Std]
j:82 [in hydras.Epsilon0.Canon]
j:83 [in hydras.Prelude.MoreLists]
j:85 [in hydras.Prelude.MoreLists]
j:87 [in hydras.Epsilon0.Paths]
j:9 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
j:9 [in hydras.Hydra.Omega2_Small]
j:90 [in hydras.Prelude.Iterates]
j:90 [in hydras.Prelude.MoreLists]
j:90 [in hydras.Hydra.Hydra_Lemmas]
j:92 [in hydras.Epsilon0.Paths]
j:94 [in hydras.Hydra.Hydra_Lemmas]
j:95 [in hydras.Prelude.MoreLists]
j:96 [in hydras.Prelude.Iterates]
j:96 [in hydras.Epsilon0.Canon]
j:97 [in hydras.Hydra.Hydra_Lemmas]
j:99 [in hydras.Hydra.O2H]

K

kbr:222 [in additions.Euclidean_Chains]
kbr:231 [in additions.Euclidean_Chains]
kbr:293 [in additions.Euclidean_Chains]
kbr:298 [in additions.Euclidean_Chains]
kc:181 [in additions.Euclidean_Chains]
kc:191 [in additions.Euclidean_Chains]
kc:192 [in additions.Euclidean_Chains]
kc:204 [in additions.Euclidean_Chains]
kc:218 [in additions.Euclidean_Chains]
kc:221 [in additions.Euclidean_Chains]
khi:170 [in hydras.Schutte.Ordering_Functions]
khi:171 [in hydras.Schutte.Ordering_Functions]
khi:172 [in hydras.Schutte.Ordering_Functions]
khi:173 [in hydras.Schutte.Ordering_Functions]
khi:49 [in hydras.Schutte.Addition]
khi:92 [in hydras.Schutte.Ordering_Functions]
khi:93 [in hydras.Schutte.Ordering_Functions]
knp:207 [in additions.Euclidean_Chains]
knp:211 [in additions.Euclidean_Chains]
kpr:27 [in additions.AM]
kpr:31 [in additions.AM]
ksi:58 [in hydras.Schutte.AP]
k':105 [in additions.Euclidean_Chains]
k':116 [in additions.Euclidean_Chains]
k':174 [in additions.Euclidean_Chains]
k':200 [in additions.Euclidean_Chains]
k10_7:330 [in additions.Euclidean_Chains]
k7_3:329 [in additions.Euclidean_Chains]
k:10 [in hydras.Hydra.Hydra_Theorems]
k:102 [in hydras.Epsilon0.Canon]
k:104 [in additions.Euclidean_Chains]
k:107 [in hydras.Prelude.MoreLists]
k:107 [in hydras.Epsilon0.Canon]
k:11 [in hydras.Epsilon0.Large_Sets]
k:11 [in gaia_hydras.GL_alpha]
k:110 [in hydras.Epsilon0.Large_Sets]
k:115 [in additions.Euclidean_Chains]
k:117 [in hydras.Epsilon0.Large_Sets]
k:118 [in hydras.Epsilon0.Large_Sets]
k:12 [in additions.Euclidean_Chains]
k:12 [in gaia_hydras.GLarge_Sets]
k:12 [in gaia_hydras.GL_alpha]
k:122 [in hydras.Epsilon0.Large_Sets]
k:122 [in hydras.Epsilon0.Hprime]
k:133 [in hydras.Prelude.Iterates]
k:137 [in hydras.Hydra.Hydra_Definitions]
k:14 [in hydras.Epsilon0.Large_Sets]
k:1402 [in gaia_hydras.nfwfgaia]
k:143 [in hydras.Prelude.Iterates]
k:143 [in additions.Euclidean_Chains]
k:15 [in additions.fib]
k:15 [in hydras.rpo.dickson]
k:151 [in additions.Euclidean_Chains]
k:153 [in hydras.Prelude.Iterates]
k:156 [in additions.Euclidean_Chains]
k:16 [in hydras.Epsilon0.T1]
k:16 [in gaia_hydras.GHprime]
k:16 [in gaia_hydras.GHydra]
k:166 [in hydras.Prelude.Iterates]
k:167 [in additions.Euclidean_Chains]
k:17 [in hydras.Epsilon0.F_omega]
k:17 [in hydras.MoreAck.Ack]
k:173 [in additions.Euclidean_Chains]
k:18 [in gaia_hydras.GHydra]
k:187 [in hydras.Prelude.Iterates]
k:187 [in additions.Euclidean_Chains]
k:1889 [in gaia_hydras.nfwfgaia]
k:194 [in hydras.Prelude.Iterates]
k:199 [in additions.Euclidean_Chains]
k:2 [in hydras.Hydra.Hydra_Theorems]
k:20 [in gaia_hydras.GL_alpha]
k:2013 [in gaia_hydras.nfwfgaia]
k:207 [in hydras.Prelude.Iterates]
k:209 [in additions.Euclidean_Chains]
k:21 [in gaia_hydras.GHydra]
k:210 [in hydras.Prelude.Iterates]
k:211 [in hydras.Prelude.Iterates]
k:212 [in hydras.Prelude.Iterates]
k:213 [in hydras.Prelude.Iterates]
k:22 [in hydras.OrdinalNotations.ON_Omega2]
k:22 [in additions.Euclidean_Chains]
k:22 [in hydras.Hydra.Epsilon0_Needed_Std]
k:225 [in additions.Euclidean_Chains]
k:226 [in hydras.Prelude.Iterates]
k:23 [in hydras.Prelude.More_Arith]
k:23 [in gaia_hydras.GL_alpha]
k:234 [in hydras.Prelude.Iterates]
k:236 [in additions.Euclidean_Chains]
k:242 [in additions.Euclidean_Chains]
k:25 [in hydras.Epsilon0.Large_Sets]
k:252 [in hydras.Prelude.Iterates]
k:26 [in hydras.OrdinalNotations.ON_Omega2]
k:26 [in gaia_hydras.GL_alpha]
k:260 [in hydras.rpo.rpo]
k:32 [in hydras.MoreAck.AckNotPR]
k:38 [in hydras.Epsilon0.Large_Sets]
k:39 [in hydras.Epsilon0.L_alpha]
k:39 [in hydras.Epsilon0.Hprime]
k:4 [in additions.Euclidean_Chains]
k:40 [in hydras.Epsilon0.L_alpha]
k:40 [in additions.Euclidean_Chains]
k:40 [in hydras.Epsilon0.Hprime]
k:40 [in hydras.MoreAck.PrimRecExamples]
k:410 [in hydras.Epsilon0.Paths]
k:43 [in hydras.Hydra.BigBattle]
k:43 [in hydras.Epsilon0.Hprime]
k:44 [in hydras.Epsilon0.Large_Sets]
k:44 [in hydras.Epsilon0.Hprime]
k:45 [in hydras.Epsilon0.Hprime]
k:46 [in hydras.Epsilon0.L_alpha]
k:46 [in hydras.Epsilon0.Hprime]
k:467 [in hydras.Epsilon0.Paths]
k:47 [in hydras.Epsilon0.Large_Sets]
k:48 [in hydras.Epsilon0.Hprime]
k:49 [in hydras.Epsilon0.Hprime]
k:508 [in hydras.Epsilon0.Paths]
k:51 [in hydras.Epsilon0.Large_Sets]
k:51 [in hydras.Epsilon0.L_alpha]
k:52 [in hydras.Epsilon0.L_alpha]
k:53 [in hydras.Epsilon0.L_alpha]
k:53 [in hydras.Epsilon0.Hprime]
k:54 [in hydras.Epsilon0.Hprime]
k:54 [in gaia_hydras.nfwfgaia]
k:541 [in hydras.Epsilon0.Paths]
k:55 [in hydras.Epsilon0.L_alpha]
k:57 [in hydras.Epsilon0.Hprime]
k:578 [in hydras.Epsilon0.Paths]
k:58 [in hydras.Epsilon0.Large_Sets]
k:58 [in additions.Euclidean_Chains]
k:58 [in gaia_hydras.nfwfgaia]
k:59 [in hydras.Epsilon0.Hprime]
k:6 [in hydras.Hydra.Hydra_Theorems]
k:6 [in hydras.Hydra.Battle_length]
k:60 [in gaia_hydras.nfwfgaia]
k:62 [in hydras.Epsilon0.Hprime]
k:63 [in hydras.Epsilon0.Large_Sets]
k:64 [in hydras.Epsilon0.Hprime]
k:65 [in hydras.Epsilon0.Large_Sets]
k:66 [in hydras.Epsilon0.Large_Sets]
k:66 [in hydras.Epsilon0.Hprime]
k:67 [in hydras.Epsilon0.Hprime]
k:68 [in hydras.Epsilon0.Large_Sets]
k:69 [in hydras.Epsilon0.Hprime]
k:7 [in hydras.OrdinalNotations.ON_Omega2]
k:7 [in hydras.Hydra.Hydra_Theorems]
k:7 [in additions.Addition_Chains]
k:71 [in hydras.Epsilon0.Hprime]
k:72 [in hydras.Epsilon0.Large_Sets]
k:72 [in hydras.Hydra.Hydra_Lemmas]
k:72 [in hydras.Epsilon0.Hprime]
k:73 [in additions.Euclidean_Chains]
k:73 [in hydras.Epsilon0.Hprime]
k:74 [in hydras.Epsilon0.Hprime]
k:75 [in hydras.Epsilon0.Large_Sets]
k:76 [in hydras.Epsilon0.Large_Sets]
k:77 [in hydras.Epsilon0.Large_Sets]
k:77 [in hydras.MoreAck.Ack]
k:79 [in hydras.Epsilon0.Hprime]
k:8 [in gaia_hydras.GHprime]
k:8 [in hydras.Epsilon0.Large_Sets]
k:8 [in hydras.Hydra.Hydra_Theorems]
k:8 [in hydras.Hydra.Battle_length]
k:80 [in hydras.Epsilon0.Hprime]
k:81 [in hydras.Prelude.MoreLists]
k:83 [in hydras.Epsilon0.Large_Sets]
k:83 [in hydras.Epsilon0.Hprime]
k:84 [in hydras.Epsilon0.Hprime]
k:85 [in hydras.Epsilon0.Large_Sets]
k:88 [in hydras.Epsilon0.Hprime]
k:880 [in gaia_hydras.nfwfgaia]
k:9 [in gaia_hydras.GHprime]
k:9 [in hydras.Hydra.Hydra_Theorems]
k:9 [in additions.Euclidean_Chains]
k:90 [in hydras.Epsilon0.Hprime]
k:91 [in hydras.Prelude.MoreLists]
k:91 [in hydras.Epsilon0.Hprime]
k:92 [in hydras.Epsilon0.Large_Sets]
k:93 [in hydras.MoreAck.AckNotPR]
k:93 [in hydras.Epsilon0.Large_Sets]
k:93 [in additions.Euclidean_Chains]
k:94 [in hydras.Epsilon0.Hprime]
k:95 [in hydras.MoreAck.AckNotPR]
k:95 [in hydras.Epsilon0.Large_Sets]
k:96 [in hydras.Epsilon0.Large_Sets]
k:99 [in hydras.Prelude.Iterates]

L

lambda:13 [in hydras.Epsilon0.Canon]
lambda:15 [in hydras.Epsilon0.Canon]
lambda:156 [in gaia_hydras.T1Bridge]
lambda:161 [in gaia_hydras.T1Bridge]
lambda:18 [in hydras.Epsilon0.Canon]
lambda:20 [in hydras.Epsilon0.Canon]
lambda:209 [in hydras.Epsilon0.Paths]
lambda:213 [in hydras.Epsilon0.Paths]
lambda:23 [in gaia_hydras.GCanon]
lambda:23 [in hydras.Epsilon0.Canon]
lambda:27 [in hydras.Epsilon0.Canon]
lambda:29 [in hydras.Schutte.Schutte_basics]
lambda:32 [in gaia_hydras.GCanon]
lambda:336 [in hydras.Epsilon0.Paths]
lambda:43 [in gaia_hydras.GCanon]
lambda:49 [in gaia_hydras.GCanon]
lambda:53 [in gaia_hydras.GCanon]
lambda:566 [in hydras.Epsilon0.Paths]
lambda:58 [in gaia_hydras.GCanon]
lambda:59 [in gaia_hydras.GCanon]
lambda:60 [in hydras.Epsilon0.Canon]
lambda:61 [in gaia_hydras.GPaths]
lambda:61 [in hydras.Epsilon0.Canon]
lambda:62 [in hydras.Hydra.O2H]
lambda:65 [in gaia_hydras.GCanon]
lambda:686 [in hydras.Epsilon0.T1]
lambda:72 [in hydras.Epsilon0.Canon]
lambda:75 [in hydras.Epsilon0.Canon]
la:116 [in hydras.rpo.more_list]
la:7 [in hydras.rpo.dickson]
lc:165 [in hydras.rpo.rpo]
lc:233 [in hydras.rpo.rpo]
lc:242 [in hydras.rpo.rpo]
lc:70 [in hydras.rpo.rpo]
leA:48 [in hydras.Prelude.Sort_spec]
leA:62 [in hydras.Prelude.Sort_spec]
leb:107 [in hydras.Prelude.Merge_Sort]
leB:11 [in hydras.Prelude.DecPreOrder_Instances]
leb:177 [in hydras.Prelude.Merge_Sort]
leB:18 [in hydras.Prelude.DecPreOrder_Instances]
leb:183 [in hydras.Prelude.Merge_Sort]
leb:185 [in hydras.Prelude.Merge_Sort]
leb:188 [in hydras.Prelude.Merge_Sort]
leb:193 [in hydras.Prelude.Merge_Sort]
leb:195 [in hydras.Prelude.Merge_Sort]
leB:4 [in hydras.Prelude.DecPreOrder_Instances]
leB:49 [in hydras.Prelude.Sort_spec]
leB:63 [in hydras.Prelude.Sort_spec]
le_dec:118 [in hydras.Prelude.Merge_Sort]
le_total:117 [in hydras.Prelude.Merge_Sort]
le:16 [in hydras.Prelude.DecPreOrder]
le:21 [in hydras.Prelude.DecPreOrder]
le:26 [in hydras.Prelude.DecPreOrder]
le:3 [in hydras.solutions_exercises.predSuccUnicity]
Le:3 [in hydras.OrdinalNotations.ON_O]
le:31 [in hydras.Prelude.Sort_spec]
le:36 [in hydras.Prelude.DecPreOrder]
le:40 [in hydras.Prelude.Sort_spec]
le:40 [in hydras.Prelude.DecPreOrder]
le:45 [in hydras.Prelude.DecPreOrder]
le:50 [in hydras.Prelude.DecPreOrder]
le:55 [in hydras.Prelude.DecPreOrder]
le:60 [in hydras.Prelude.DecPreOrder]
le:65 [in hydras.Prelude.DecPreOrder]
le:71 [in hydras.Prelude.DecPreOrder]
le:75 [in hydras.Prelude.Sort_spec]
le:77 [in hydras.Prelude.DecPreOrder]
le:82 [in hydras.Prelude.DecPreOrder]
le:85 [in hydras.Prelude.DecPreOrder]
le:88 [in hydras.Prelude.DecPreOrder]
le:94 [in hydras.Prelude.DecPreOrder]
lg:163 [in hydras.rpo.rpo]
lg:231 [in hydras.rpo.rpo]
lg:68 [in hydras.rpo.rpo]
ls1:246 [in hydras.rpo.rpo]
ls1:251 [in hydras.rpo.rpo]
ls2:247 [in hydras.rpo.rpo]
ls2:252 [in hydras.rpo.rpo]
ls:164 [in hydras.rpo.rpo]
ls:232 [in hydras.rpo.rpo]
ls:241 [in hydras.rpo.rpo]
ls:69 [in hydras.rpo.rpo]
ltA:107 [in hydras.OrdinalNotations.ON_Generic]
ltA:122 [in hydras.OrdinalNotations.ON_Generic]
ltA:134 [in hydras.OrdinalNotations.ON_Generic]
ltA:147 [in hydras.OrdinalNotations.ON_Generic]
ltA:160 [in hydras.OrdinalNotations.ON_Generic]
ltA:172 [in hydras.OrdinalNotations.ON_Generic]
ltA:185 [in hydras.OrdinalNotations.ON_Generic]
ltA:199 [in hydras.OrdinalNotations.ON_Generic]
ltA:2 [in hydras.OrdinalNotations.ON_mult]
ltA:2 [in hydras.OrdinalNotations.ON_plus]
ltA:30 [in hydras.OrdinalNotations.ON_Generic]
ltA:33 [in hydras.solutions_exercises.MultisetWf]
ltA:36 [in hydras.solutions_exercises.MultisetWf]
ltA:49 [in hydras.OrdinalNotations.ON_Generic]
ltA:68 [in hydras.OrdinalNotations.ON_Generic]
ltA:69 [in hydras.solutions_exercises.MultisetWf]
ltA:82 [in hydras.OrdinalNotations.ON_Generic]
ltA:94 [in hydras.OrdinalNotations.ON_Generic]
ltB:111 [in hydras.OrdinalNotations.ON_Generic]
ltB:126 [in hydras.OrdinalNotations.ON_Generic]
ltB:138 [in hydras.OrdinalNotations.ON_Generic]
ltB:151 [in hydras.OrdinalNotations.ON_Generic]
ltB:164 [in hydras.OrdinalNotations.ON_Generic]
ltB:176 [in hydras.OrdinalNotations.ON_Generic]
ltB:189 [in hydras.OrdinalNotations.ON_Generic]
ltB:203 [in hydras.OrdinalNotations.ON_Generic]
ltB:34 [in hydras.OrdinalNotations.ON_Generic]
ltB:53 [in hydras.OrdinalNotations.ON_Generic]
ltB:6 [in hydras.OrdinalNotations.ON_mult]
ltB:6 [in hydras.OrdinalNotations.ON_plus]
ltB:86 [in hydras.OrdinalNotations.ON_Generic]
ltB:98 [in hydras.OrdinalNotations.ON_Generic]
Lt:109 [in hydras.Hydra.Hydra_Lemmas]
lt:12 [in hydras.OrdinalNotations.ON_Generic]
lt:129 [in hydras.Hydra.Hydra_Lemmas]
lt:13 [in hydras.Prelude.Comparable]
Lt:145 [in hydras.Hydra.Hydra_Definitions]
Lt:155 [in hydras.Hydra.Hydra_Definitions]
lt:2 [in hydras.solutions_exercises.predSuccUnicity]
Lt:2 [in hydras.OrdinalNotations.ON_O]
lt:2 [in hydras.Prelude.MoreOrders]
lt:2 [in hydras.solutions_exercises.lt_succ_le]
lt:2 [in hydras.OrdinalNotations.ON_Generic]
lt:23 [in hydras.Prelude.MoreOrders]
lt:3 [in hydras.Schutte.Lub]
lt:43 [in hydras.Prelude.MoreOrders]
lt:47 [in hydras.Prelude.MoreOrders]
lt:5 [in hydras.Prelude.Comparable]
Lt:52 [in hydras.Schutte.Well_Orders]
Lt:57 [in hydras.Schutte.Well_Orders]
lt:8 [in hydras.OrdinalNotations.ON_Generic]
lt:9 [in hydras.Schutte.Lub]
Lt:99 [in hydras.Hydra.Hydra_Lemmas]
l'':55 [in hydras.solutions_exercises.MultisetWf]
l'':56 [in hydras.solutions_exercises.MultisetWf]
l'':58 [in hydras.solutions_exercises.MultisetWf]
l'1:118 [in hydras.Prelude.MoreLists]
l'1:150 [in hydras.Prelude.MoreLists]
l':105 [in hydras.Prelude.Merge_Sort]
l':114 [in hydras.Prelude.MoreLists]
l':123 [in hydras.Prelude.MoreLists]
l':13 [in hydras.solutions_exercises.MultisetWf]
l':130 [in hydras.Prelude.MoreLists]
l':135 [in hydras.Prelude.MoreLists]
l':139 [in hydras.Schutte.Schutte_basics]
l':14 [in gaia_hydras.GLarge_Sets]
l':140 [in hydras.Prelude.MoreLists]
l':143 [in hydras.rpo.rpo]
l':146 [in hydras.Prelude.MoreLists]
l':147 [in hydras.rpo.rpo]
l':15 [in hydras.Hydra.Hydra_Definitions]
l':151 [in hydras.rpo.rpo]
l':158 [in hydras.rpo.rpo]
l':161 [in hydras.rpo.rpo]
l':167 [in hydras.rpo.rpo]
l':171 [in hydras.rpo.rpo]
l':19 [in hydras.solutions_exercises.MultisetWf]
l':192 [in hydras.rpo.more_list]
l':20 [in additions.Trace_exercise]
l':218 [in hydras.rpo.rpo]
l':222 [in hydras.rpo.rpo]
l':224 [in hydras.rpo.rpo]
l':23 [in hydras.solutions_exercises.MultisetWf]
l':235 [in hydras.rpo.rpo]
l':244 [in hydras.rpo.rpo]
l':267 [in hydras.rpo.rpo]
l':27 [in hydras.Epsilon0.Large_Sets]
l':30 [in hydras.Prelude.DecPreOrder_Instances]
l':34 [in hydras.Prelude.Merge_Sort]
l':37 [in hydras.Prelude.Sort_spec]
l':41 [in hydras.Prelude.Merge_Sort]
l':43 [in hydras.Prelude.Merge_Sort]
l':46 [in hydras.Prelude.Merge_Sort]
l':48 [in hydras.Hydra.O2H]
l':48 [in hydras.rpo.rpo]
l':52 [in hydras.solutions_exercises.MultisetWf]
l':52 [in hydras.Prelude.Merge_Sort]
l':52 [in hydras.rpo.rpo]
l':56 [in hydras.rpo.rpo]
l':57 [in hydras.Schutte.CNF]
l':614 [in hydras.Gamma0.Gamma0]
l':618 [in hydras.Gamma0.Gamma0]
l':63 [in hydras.rpo.rpo]
l':66 [in hydras.rpo.rpo]
l':699 [in hydras.Epsilon0.T1]
l':72 [in hydras.rpo.rpo]
l':73 [in hydras.solutions_exercises.MultisetWf]
l':8 [in hydras.Prelude.Sort_spec]
l':92 [in hydras.Ackermann.primRec]
l':96 [in hydras.Ackermann.primRec]
l':97 [in hydras.Prelude.Merge_Sort]
l':99 [in hydras.Prelude.Merge_Sort]
l0:152 [in hydras.Prelude.MoreLists]
l0:296 [in hydras.Ackermann.codeFreeVar]
l0:298 [in hydras.Ackermann.codeFreeVar]
l0:298 [in hydras.Ackermann.codeList]
l0:300 [in hydras.Ackermann.codeList]
l1:100 [in hydras.Prelude.Merge_Sort]
l1:101 [in hydras.rpo.list_set]
l1:101 [in hydras.rpo.list_permut]
l1:102 [in hydras.Ackermann.primRec]
l1:107 [in hydras.Ackermann.primRec]
l1:107 [in hydras.rpo.list_set]
l1:108 [in hydras.Prelude.Merge_Sort]
l1:11 [in hydras.rpo.list_permut]
l1:110 [in hydras.rpo.more_list]
l1:114 [in hydras.rpo.list_set]
l1:117 [in hydras.Prelude.MoreLists]
l1:119 [in hydras.rpo.list_set]
l1:12 [in hydras.Prelude.Merge_Sort]
l1:122 [in hydras.rpo.list_set]
l1:123 [in hydras.Prelude.Merge_Sort]
l1:126 [in hydras.rpo.more_list]
l1:127 [in hydras.rpo.list_set]
l1:13 [in hydras.rpo.list_permut]
l1:131 [in hydras.Prelude.Merge_Sort]
l1:134 [in hydras.rpo.list_set]
l1:138 [in hydras.Prelude.Merge_Sort]
l1:141 [in additions.fib]
l1:141 [in hydras.rpo.list_set]
l1:145 [in hydras.rpo.list_set]
l1:146 [in hydras.Prelude.Merge_Sort]
l1:149 [in hydras.Prelude.MoreLists]
l1:149 [in hydras.rpo.list_set]
l1:157 [in hydras.Prelude.Merge_Sort]
l1:161 [in hydras.Prelude.Merge_Sort]
l1:165 [in hydras.Prelude.Merge_Sort]
l1:17 [in hydras.Prelude.Merge_Sort]
l1:170 [in hydras.Prelude.Merge_Sort]
l1:178 [in hydras.Prelude.MoreLists]
l1:18 [in hydras.rpo.more_list]
l1:18 [in hydras.rpo.dickson]
l1:181 [in hydras.Prelude.Merge_Sort]
l1:184 [in hydras.rpo.more_list]
l1:185 [in hydras.Ackermann.fol]
l1:186 [in hydras.rpo.term]
l1:191 [in hydras.Prelude.Merge_Sort]
l1:191 [in hydras.Ackermann.fol]
l1:195 [in hydras.Prelude.MoreLists]
l1:197 [in hydras.Prelude.MoreLists]
l1:197 [in hydras.rpo.more_list]
l1:198 [in hydras.Prelude.Merge_Sort]
l1:199 [in hydras.rpo.more_list]
l1:203 [in hydras.Prelude.MoreLists]
l1:21 [in hydras.rpo.list_permut]
l1:212 [in hydras.Prelude.MoreLists]
l1:219 [in hydras.Prelude.MoreLists]
l1:22 [in hydras.rpo.dickson]
l1:23 [in hydras.rpo.list_permut]
l1:233 [in hydras.rpo.list_set]
l1:234 [in hydras.rpo.term]
l1:236 [in hydras.rpo.term]
l1:236 [in hydras.rpo.list_set]
l1:239 [in hydras.rpo.list_set]
l1:243 [in hydras.rpo.list_set]
l1:248 [in hydras.rpo.term]
l1:250 [in hydras.rpo.term]
l1:254 [in hydras.rpo.term]
l1:257 [in hydras.rpo.list_set]
l1:26 [in hydras.rpo.dickson]
l1:27 [in hydras.rpo.list_permut]
l1:3 [in additions.Trace_exercise]
l1:30 [in hydras.rpo.dickson]
l1:30 [in hydras.rpo.list_permut]
l1:324 [in hydras.rpo.rpo]
l1:327 [in hydras.rpo.rpo]
l1:34 [in hydras.rpo.dickson]
l1:34 [in hydras.rpo.list_permut]
l1:368 [in hydras.rpo.term]
l1:37 [in hydras.rpo.list_permut]
l1:38 [in hydras.Prelude.Merge_Sort]
l1:39 [in hydras.rpo.dickson]
l1:4 [in hydras.rpo.dickson]
l1:4 [in hydras.rpo.list_permut]
l1:43 [in hydras.Ackermann.codeList]
l1:45 [in hydras.rpo.list_permut]
l1:48 [in hydras.rpo.more_list]
l1:48 [in hydras.rpo.list_permut]
l1:49 [in hydras.Prelude.Merge_Sort]
l1:5 [in hydras.Prelude.Merge_Sort]
l1:51 [in hydras.rpo.list_permut]
l1:53 [in hydras.rpo.list_permut]
l1:56 [in hydras.Prelude.Merge_Sort]
l1:56 [in additions.fib]
l1:56 [in hydras.rpo.list_permut]
l1:57 [in hydras.rpo.term]
l1:59 [in hydras.rpo.term]
l1:59 [in hydras.rpo.list_permut]
l1:61 [in additions.fib]
l1:62 [in hydras.rpo.list_permut]
l1:67 [in hydras.rpo.list_permut]
l1:69 [in hydras.rpo.more_list]
l1:70 [in hydras.rpo.list_permut]
l1:72 [in hydras.rpo.term]
l1:74 [in hydras.rpo.term]
l1:76 [in hydras.rpo.list_permut]
l1:78 [in hydras.rpo.term]
l1:79 [in hydras.rpo.list_set]
l1:82 [in hydras.rpo.list_set]
l1:85 [in hydras.rpo.list_permut]
l1:86 [in hydras.rpo.more_list]
l1:9 [in hydras.rpo.more_list]
l1:91 [in hydras.Prelude.Merge_Sort]
l1:91 [in hydras.rpo.list_set]
l1:93 [in hydras.rpo.list_permut]
l1:94 [in hydras.rpo.more_list]
l1:95 [in hydras.rpo.list_set]
l1:99 [in additions.fib]
l2':253 [in hydras.rpo.list_set]
l2':254 [in hydras.rpo.list_set]
l2:10 [in hydras.rpo.more_list]
l2:100 [in additions.fib]
l2:101 [in hydras.Prelude.Merge_Sort]
l2:102 [in hydras.rpo.list_set]
l2:102 [in hydras.rpo.list_permut]
l2:103 [in hydras.Ackermann.primRec]
l2:108 [in hydras.Ackermann.primRec]
l2:108 [in hydras.rpo.list_set]
l2:109 [in hydras.Prelude.Merge_Sort]
l2:111 [in hydras.rpo.more_list]
l2:111 [in hydras.Prelude.Merge_Sort]
l2:115 [in hydras.rpo.list_set]
l2:12 [in hydras.rpo.list_permut]
l2:120 [in hydras.rpo.list_set]
l2:123 [in hydras.rpo.list_set]
l2:125 [in hydras.Prelude.Merge_Sort]
l2:127 [in hydras.rpo.more_list]
l2:128 [in hydras.rpo.list_set]
l2:13 [in hydras.Prelude.Merge_Sort]
l2:133 [in hydras.Prelude.Merge_Sort]
l2:135 [in hydras.rpo.list_set]
l2:139 [in hydras.Prelude.Merge_Sort]
l2:14 [in hydras.rpo.list_permut]
l2:142 [in additions.fib]
l2:142 [in hydras.rpo.list_set]
l2:146 [in hydras.rpo.list_set]
l2:147 [in hydras.Prelude.Merge_Sort]
l2:150 [in hydras.rpo.list_set]
l2:158 [in hydras.Prelude.Merge_Sort]
l2:162 [in hydras.Prelude.Merge_Sort]
l2:166 [in hydras.Prelude.Merge_Sort]
l2:171 [in hydras.Prelude.Merge_Sort]
l2:18 [in hydras.Prelude.Merge_Sort]
l2:180 [in hydras.Prelude.MoreLists]
l2:182 [in hydras.Prelude.Merge_Sort]
l2:185 [in hydras.rpo.more_list]
l2:186 [in hydras.Ackermann.fol]
l2:188 [in hydras.rpo.term]
l2:19 [in hydras.rpo.more_list]
l2:19 [in hydras.rpo.dickson]
l2:192 [in hydras.Prelude.Merge_Sort]
l2:192 [in hydras.Ackermann.fol]
l2:196 [in hydras.Prelude.MoreLists]
l2:198 [in hydras.Prelude.MoreLists]
l2:198 [in hydras.rpo.more_list]
l2:199 [in hydras.Prelude.Merge_Sort]
l2:200 [in hydras.rpo.more_list]
l2:215 [in hydras.Prelude.MoreLists]
l2:22 [in hydras.rpo.list_permut]
l2:221 [in hydras.Prelude.MoreLists]
l2:23 [in hydras.rpo.dickson]
l2:234 [in hydras.rpo.list_set]
l2:235 [in hydras.rpo.term]
l2:237 [in hydras.rpo.term]
l2:237 [in hydras.rpo.list_set]
l2:24 [in hydras.rpo.list_permut]
l2:240 [in hydras.rpo.list_set]
l2:244 [in hydras.rpo.list_set]
l2:249 [in hydras.rpo.term]
l2:251 [in hydras.rpo.term]
l2:255 [in hydras.rpo.term]
l2:258 [in hydras.rpo.term]
l2:258 [in hydras.rpo.list_set]
l2:259 [in hydras.rpo.term]
l2:27 [in hydras.rpo.dickson]
l2:28 [in hydras.rpo.list_permut]
l2:31 [in hydras.rpo.dickson]
l2:31 [in hydras.rpo.list_permut]
l2:326 [in hydras.rpo.rpo]
l2:329 [in hydras.rpo.rpo]
l2:35 [in hydras.rpo.dickson]
l2:35 [in hydras.rpo.list_permut]
l2:370 [in hydras.rpo.term]
l2:38 [in hydras.rpo.list_permut]
l2:39 [in hydras.Prelude.Merge_Sort]
l2:4 [in additions.Trace_exercise]
l2:40 [in hydras.rpo.dickson]
l2:44 [in hydras.Ackermann.codeList]
l2:46 [in hydras.rpo.list_permut]
l2:49 [in hydras.rpo.more_list]
l2:49 [in hydras.rpo.list_permut]
l2:5 [in hydras.rpo.dickson]
l2:5 [in hydras.rpo.list_permut]
l2:50 [in hydras.Prelude.Merge_Sort]
l2:52 [in hydras.rpo.list_permut]
l2:54 [in hydras.rpo.list_permut]
l2:57 [in hydras.Prelude.Merge_Sort]
l2:57 [in additions.fib]
l2:57 [in hydras.rpo.list_permut]
l2:58 [in hydras.rpo.term]
l2:6 [in hydras.Prelude.Merge_Sort]
l2:6 [in additions.Trace_exercise]
l2:60 [in hydras.rpo.term]
l2:60 [in hydras.rpo.list_permut]
l2:62 [in additions.fib]
l2:63 [in hydras.rpo.list_permut]
l2:68 [in hydras.rpo.list_permut]
l2:70 [in hydras.rpo.more_list]
l2:71 [in hydras.rpo.list_permut]
l2:73 [in hydras.rpo.term]
l2:75 [in hydras.rpo.term]
l2:77 [in hydras.rpo.list_permut]
l2:79 [in hydras.rpo.term]
l2:80 [in hydras.rpo.list_set]
l2:83 [in hydras.rpo.list_set]
l2:86 [in hydras.rpo.list_permut]
l2:87 [in hydras.rpo.more_list]
l2:92 [in hydras.Prelude.Merge_Sort]
l2:92 [in hydras.rpo.list_set]
l2:94 [in hydras.rpo.list_permut]
l2:95 [in hydras.rpo.more_list]
l2:96 [in hydras.rpo.list_set]
l3:199 [in hydras.Prelude.MoreLists]
l3:25 [in hydras.rpo.list_permut]
l3:39 [in hydras.rpo.list_permut]
l3:87 [in hydras.rpo.list_permut]
l3:95 [in hydras.rpo.list_permut]
l4:200 [in hydras.Prelude.MoreLists]
l4:40 [in hydras.rpo.list_permut]
l4:88 [in hydras.rpo.list_permut]
l4:96 [in hydras.rpo.list_permut]
L:1 [in hydras.MoreAck.BadSubst]
l:1 [in hydras.Schutte.CNF]
l:1 [in hydras.solutions_exercises.schutte_cnf_counter_example]
l:1 [in hydras.rpo.list_set]
l:1 [in hydras.rpo.list_permut]
l:10 [in hydras.Prelude.MoreLists]
l:10 [in hydras.Prelude.Sort_spec]
l:10 [in hydras.Prelude.Merge_Sort]
l:10 [in hydras.Ackermann.codePA]
l:101 [in hydras.rpo.more_list]
l:104 [in hydras.Prelude.MoreLists]
l:104 [in hydras.Prelude.Merge_Sort]
l:105 [in hydras.rpo.rpo]
l:106 [in hydras.Prelude.Merge_Sort]
l:106 [in hydras.Ackermann.codeList]
l:108 [in hydras.rpo.term]
l:109 [in hydras.rpo.more_list]
l:109 [in hydras.Ackermann.folReplace]
l:11 [in hydras.Prelude.MoreLists]
L:11 [in hydras.MoreAck.FolExamples]
l:111 [in hydras.Ackermann.codeList]
l:112 [in hydras.rpo.rpo]
l:113 [in hydras.Prelude.MoreLists]
l:117 [in hydras.rpo.more_list]
l:119 [in hydras.rpo.rpo]
l:12 [in hydras.solutions_exercises.MultisetWf]
l:120 [in hydras.Prelude.Merge_Sort]
l:121 [in hydras.Prelude.Merge_Sort]
l:121 [in hydras.Ackermann.cPair]
l:121 [in additions.fib]
l:122 [in hydras.Prelude.MoreLists]
l:123 [in hydras.Epsilon0.Hprime]
l:124 [in hydras.Ackermann.cPair]
l:125 [in hydras.rpo.rpo]
l:1284 [in hydras.Ackermann.codeSubFormula]
l:129 [in hydras.Prelude.MoreLists]
l:13 [in gaia_hydras.GLarge_Sets]
l:13 [in hydras.Ackermann.codePA]
L:13 [in hydras.MoreAck.FolExamples]
l:131 [in hydras.Ackermann.cPair]
l:132 [in hydras.Ackermann.cPair]
l:133 [in hydras.rpo.more_list]
l:133 [in hydras.Ackermann.cPair]
l:134 [in hydras.Prelude.MoreLists]
l:135 [in hydras.Ackermann.cPair]
l:135 [in additions.fib]
l:136 [in hydras.Ackermann.cPair]
l:137 [in hydras.rpo.rpo]
l:1375 [in gaia_hydras.nfwfgaia]
l:138 [in hydras.Ackermann.cPair]
l:138 [in hydras.Schutte.Schutte_basics]
l:1386 [in gaia_hydras.nfwfgaia]
l:139 [in hydras.Prelude.MoreLists]
l:139 [in hydras.Hydra.Hydra_Definitions]
l:14 [in hydras.rpo.more_list]
l:14 [in hydras.Schutte.CNF]
l:14 [in hydras.Prelude.Merge_Sort]
l:14 [in hydras.Hydra.Hydra_Definitions]
l:140 [in hydras.Ackermann.cPair]
l:141 [in hydras.rpo.more_list]
l:141 [in hydras.Ackermann.cPair]
l:142 [in hydras.rpo.rpo]
l:143 [in hydras.Ackermann.cPair]
l:145 [in hydras.Prelude.MoreLists]
l:146 [in hydras.Ackermann.cPair]
l:146 [in hydras.Ackermann.codePA]
l:146 [in hydras.rpo.rpo]
l:147 [in additions.fib]
l:149 [in hydras.Ackermann.codePA]
l:15 [in hydras.Prelude.Sort_spec]
l:150 [in hydras.rpo.rpo]
l:151 [in hydras.Prelude.MoreLists]
l:151 [in hydras.rpo.more_list]
l:156 [in hydras.rpo.term]
l:157 [in hydras.rpo.rpo]
l:16 [in hydras.Schutte.CNF]
l:16 [in hydras.rpo.list_set]
l:160 [in hydras.rpo.more_list]
l:160 [in hydras.rpo.rpo]
l:161 [in hydras.rpo.term]
l:166 [in hydras.rpo.rpo]
l:169 [in hydras.rpo.term]
l:169 [in hydras.rpo.more_list]
l:17 [in hydras.rpo.list_permut]
l:170 [in hydras.rpo.rpo]
l:171 [in hydras.Prelude.MoreLists]
l:172 [in hydras.Prelude.MoreLists]
l:175 [in hydras.Prelude.MoreLists]
l:175 [in hydras.Prelude.Merge_Sort]
l:176 [in hydras.rpo.more_list]
l:178 [in hydras.Prelude.Merge_Sort]
l:18 [in hydras.Schutte.CNF]
l:18 [in hydras.solutions_exercises.MultisetWf]
l:184 [in hydras.Prelude.Merge_Sort]
l:186 [in hydras.Prelude.Merge_Sort]
l:189 [in hydras.Prelude.Merge_Sort]
l:19 [in hydras.Prelude.Sort_spec]
l:19 [in hydras.Ackermann.folProp]
l:19 [in additions.Trace_exercise]
l:19 [in hydras.rpo.list_permut]
l:19 [in hydras.Hydra.Hydra_Definitions]
l:191 [in hydras.rpo.more_list]
l:194 [in hydras.Prelude.Merge_Sort]
l:196 [in hydras.Prelude.Merge_Sort]
l:2 [in hydras.Prelude.Merge_Sort]
l:20 [in hydras.rpo.dickson]
l:20 [in hydras.rpo.list_permut]
l:200 [in hydras.rpo.rpo]
l:202 [in hydras.Prelude.MoreLists]
l:205 [in hydras.rpo.rpo]
l:207 [in hydras.Prelude.MoreLists]
l:207 [in hydras.rpo.more_list]
l:207 [in hydras.rpo.rpo]
l:208 [in hydras.rpo.rpo]
l:209 [in hydras.rpo.rpo]
l:21 [in hydras.Schutte.CNF]
l:211 [in hydras.Ackermann.codeList]
l:216 [in hydras.Ackermann.codeList]
l:217 [in hydras.rpo.term]
l:217 [in hydras.rpo.more_list]
l:217 [in hydras.rpo.rpo]
l:22 [in hydras.Prelude.Sort_spec]
l:22 [in hydras.solutions_exercises.MultisetWf]
l:22 [in hydras.Ackermann.codePA]
l:221 [in hydras.rpo.rpo]
l:222 [in hydras.rpo.term]
l:223 [in hydras.rpo.term]
l:223 [in hydras.rpo.rpo]
l:227 [in hydras.rpo.more_list]
l:227 [in hydras.rpo.rpo]
l:23 [in hydras.OrdinalNotations.ON_Omega2]
l:23 [in hydras.Schutte.CNF]
l:23 [in hydras.Hydra.Hydra_Definitions]
l:232 [in hydras.rpo.more_list]
l:234 [in hydras.rpo.rpo]
l:235 [in hydras.rpo.more_list]
l:24 [in hydras.rpo.more_list]
l:24 [in hydras.Ackermann.folProp]
l:24 [in hydras.rpo.dickson]
l:243 [in hydras.rpo.rpo]
l:244 [in hydras.rpo.more_list]
l:25 [in hydras.Schutte.CNF]
l:25 [in hydras.Ackermann.codePA]
l:25 [in hydras.Hydra.Hydra_Definitions]
l:254 [in hydras.rpo.more_list]
l:26 [in hydras.Prelude.Sort_spec]
l:26 [in hydras.Epsilon0.Large_Sets]
l:26 [in hydras.rpo.list_permut]
l:266 [in hydras.rpo.more_list]
l:266 [in hydras.rpo.rpo]
l:267 [in hydras.rpo.term]
l:27 [in hydras.Ackermann.folProp]
l:27 [in hydras.Ackermann.primRec]
l:27 [in hydras.rpo.list_set]
l:277 [in hydras.rpo.term]
l:28 [in hydras.rpo.dickson]
l:28 [in hydras.Ackermann.Languages]
l:28 [in hydras.Ackermann.codePA]
l:281 [in hydras.rpo.rpo]
l:285 [in hydras.rpo.term]
l:286 [in hydras.rpo.term]
l:287 [in hydras.rpo.term]
l:29 [in hydras.Prelude.DecPreOrder_Instances]
l:29 [in hydras.rpo.more_list]
l:29 [in gaia_hydras.GPaths]
l:29 [in hydras.solutions_exercises.MultisetWf]
l:29 [in hydras.Ackermann.primRec]
l:293 [in hydras.Ackermann.codeFreeVar]
l:295 [in hydras.Ackermann.codeFreeVar]
l:295 [in hydras.Ackermann.codeList]
l:297 [in hydras.Ackermann.codeList]
l:3 [in hydras.Hydra.Hydra_Theorems]
l:3 [in hydras.Ackermann.Deduction]
l:3 [in hydras.Ackermann.codeList]
l:300 [in hydras.Ackermann.codeFreeVar]
l:302 [in hydras.Ackermann.codeFreeVar]
l:302 [in hydras.Ackermann.codeList]
l:304 [in hydras.Ackermann.codeFreeVar]
l:304 [in hydras.Ackermann.codeList]
l:305 [in hydras.rpo.term]
l:306 [in hydras.rpo.term]
l:306 [in hydras.Ackermann.codeFreeVar]
l:306 [in hydras.Ackermann.codeList]
l:308 [in hydras.Ackermann.codeFreeVar]
l:308 [in hydras.Ackermann.codeList]
l:31 [in hydras.Prelude.MoreLists]
l:31 [in hydras.Ackermann.codePA]
l:31 [in hydras.Hydra.Hydra_Definitions]
l:310 [in hydras.Ackermann.codeFreeVar]
l:310 [in hydras.Ackermann.codeList]
l:312 [in hydras.Ackermann.codeFreeVar]
l:312 [in hydras.Ackermann.codeList]
l:314 [in hydras.Ackermann.codeFreeVar]
l:314 [in hydras.Ackermann.codeList]
l:316 [in hydras.Ackermann.codeFreeVar]
l:316 [in hydras.Ackermann.codeList]
l:318 [in hydras.Ackermann.codeFreeVar]
l:318 [in hydras.Ackermann.codeList]
l:319 [in hydras.Ackermann.codeList]
l:32 [in hydras.Ackermann.subAll]
l:32 [in hydras.Ackermann.folProp]
l:32 [in hydras.rpo.dickson]
l:320 [in hydras.Ackermann.codeFreeVar]
l:320 [in hydras.Ackermann.codeList]
l:321 [in hydras.Ackermann.codeFreeVar]
l:322 [in hydras.Ackermann.codeFreeVar]
l:322 [in hydras.Ackermann.codeList]
l:323 [in hydras.Ackermann.codeFreeVar]
l:324 [in hydras.Ackermann.codeFreeVar]
l:324 [in hydras.Ackermann.codeList]
l:325 [in hydras.Ackermann.codeFreeVar]
l:326 [in hydras.Ackermann.codeList]
l:328 [in hydras.Ackermann.codeList]
l:33 [in hydras.Prelude.Merge_Sort]
l:33 [in hydras.Ackermann.Languages]
l:330 [in hydras.Ackermann.codeList]
l:332 [in hydras.Ackermann.codeList]
l:334 [in hydras.rpo.term]
l:334 [in hydras.Ackermann.codeList]
l:336 [in hydras.Ackermann.codeList]
l:338 [in hydras.Ackermann.codeList]
l:339 [in hydras.rpo.term]
l:34 [in hydras.rpo.more_list]
l:34 [in hydras.Prelude.Sort_spec]
l:34 [in hydras.solutions_exercises.MultisetWf]
l:34 [in hydras.Ackermann.codePA]
l:340 [in hydras.Ackermann.codeList]
l:341 [in hydras.Ackermann.codeList]
l:342 [in hydras.Ackermann.codeList]
l:344 [in hydras.Ackermann.codeList]
l:346 [in hydras.Ackermann.codeList]
l:347 [in hydras.rpo.term]
l:348 [in hydras.Ackermann.codeList]
l:35 [in hydras.Hydra.Hydra_Lemmas]
l:350 [in hydras.Ackermann.codeList]
l:351 [in hydras.rpo.term]
l:352 [in hydras.rpo.term]
l:352 [in hydras.Ackermann.codeList]
l:354 [in hydras.Ackermann.codeList]
l:355 [in hydras.Ackermann.codeList]
l:359 [in hydras.rpo.term]
l:36 [in hydras.Ackermann.subAll]
l:36 [in hydras.Ackermann.primRec]
l:36 [in hydras.rpo.dickson]
l:360 [in hydras.rpo.term]
l:364 [in hydras.rpo.term]
l:366 [in hydras.rpo.term]
l:37 [in hydras.Ackermann.Languages]
l:37 [in hydras.Ackermann.codePA]
l:38 [in hydras.rpo.term]
l:38 [in hydras.rpo.more_list]
l:39 [in hydras.Ackermann.Languages]
l:4 [in hydras.rpo.more_list]
l:4 [in hydras.Prelude.Sort_spec]
l:4 [in hydras.Schutte.CNF]
l:40 [in hydras.Ackermann.subAll]
l:40 [in hydras.solutions_exercises.MultisetWf]
l:40 [in hydras.Prelude.Merge_Sort]
l:40 [in hydras.Hydra.Hydra_Lemmas]
l:40 [in hydras.Ackermann.codePA]
l:41 [in hydras.rpo.list_set]
l:411 [in hydras.Epsilon0.Paths]
l:42 [in hydras.Prelude.Merge_Sort]
l:42 [in hydras.Ackermann.codePA]
l:42 [in hydras.rpo.rpo]
l:43 [in hydras.Prelude.Sort_spec]
l:43 [in hydras.solutions_exercises.MultisetWf]
l:43 [in hydras.MoreAck.FolExamples]
l:44 [in hydras.rpo.term]
l:44 [in hydras.rpo.list_permut]
l:44 [in hydras.Ackermann.codePA]
l:440 [in hydras.Epsilon0.Paths]
l:444 [in hydras.Epsilon0.Paths]
l:45 [in hydras.rpo.term]
l:45 [in hydras.rpo.more_list]
l:45 [in hydras.Prelude.Merge_Sort]
l:45 [in hydras.Ackermann.primRec]
l:45 [in hydras.Hydra.Hydra_Lemmas]
l:46 [in hydras.Ackermann.codePA]
l:47 [in hydras.Hydra.O2H]
l:47 [in hydras.rpo.list_set]
l:47 [in hydras.rpo.list_permut]
l:47 [in hydras.rpo.rpo]
l:477 [in hydras.Epsilon0.Paths]
l:48 [in hydras.solutions_exercises.MultisetWf]
l:48 [in hydras.Ackermann.codePA]
l:484 [in hydras.Epsilon0.Paths]
l:488 [in hydras.Epsilon0.Paths]
l:49 [in gaia_hydras.GPaths]
l:49 [in hydras.Hydra.Hydra_Lemmas]
l:5 [in hydras.Ackermann.codeSubFormula]
l:5 [in hydras.Ackermann.codePA]
l:50 [in additions.fib]
l:50 [in hydras.rpo.list_set]
l:50 [in hydras.Epsilon0.Paths]
l:50 [in hydras.rpo.list_permut]
l:50 [in hydras.Ackermann.codePA]
l:51 [in hydras.solutions_exercises.MultisetWf]
l:51 [in hydras.Prelude.Merge_Sort]
l:51 [in hydras.rpo.rpo]
l:52 [in hydras.Prelude.MoreLists]
l:52 [in hydras.rpo.more_list]
l:52 [in gaia_hydras.GPaths]
l:52 [in hydras.Schutte.CNF]
l:52 [in hydras.Ackermann.codePA]
l:53 [in hydras.Schutte.CNF]
l:53 [in additions.fib]
l:54 [in hydras.Ackermann.codePA]
l:547 [in hydras.Epsilon0.Paths]
l:55 [in hydras.Schutte.CNF]
l:55 [in hydras.Ackermann.primRec]
l:55 [in hydras.rpo.rpo]
l:551 [in hydras.Epsilon0.Paths]
l:56 [in hydras.Prelude.MoreLists]
l:56 [in hydras.Prelude.Sort_spec]
l:56 [in hydras.rpo.list_set]
l:56 [in hydras.Ackermann.codePA]
l:58 [in additions.fib]
l:58 [in hydras.rpo.list_permut]
l:58 [in hydras.Ackermann.codePA]
l:59 [in hydras.rpo.more_list]
l:59 [in hydras.Schutte.CNF]
l:6 [in hydras.rpo.dickson]
l:60 [in hydras.Schutte.CNF]
l:60 [in hydras.Ackermann.codePA]
l:61 [in hydras.Prelude.MoreLists]
l:61 [in hydras.solutions_exercises.MultisetWf]
l:61 [in hydras.rpo.list_permut]
l:61 [in hydras.Ackermann.codePA]
l:613 [in hydras.Gamma0.Gamma0]
l:617 [in hydras.Gamma0.Gamma0]
l:62 [in hydras.Prelude.MoreLists]
l:62 [in hydras.Schutte.Well_Orders]
l:62 [in hydras.Ackermann.codePA]
l:62 [in hydras.rpo.rpo]
l:63 [in hydras.Prelude.MoreLists]
l:63 [in hydras.Ackermann.codePA]
l:64 [in hydras.solutions_exercises.MultisetWf]
l:64 [in hydras.rpo.list_set]
l:65 [in hydras.rpo.rpo]
l:66 [in hydras.rpo.more_list]
l:66 [in hydras.solutions_exercises.MultisetWf]
l:67 [in hydras.Prelude.MoreLists]
l:67 [in hydras.rpo.more_list]
l:67 [in hydras.Prelude.Sort_spec]
l:67 [in hydras.solutions_exercises.MultisetWf]
l:68 [in hydras.Ackermann.folProp]
l:69 [in hydras.Schutte.Correctness_E0]
l:69 [in hydras.Prelude.Sort_spec]
l:69 [in hydras.Ackermann.folProp]
l:691 [in hydras.Epsilon0.T1]
l:695 [in hydras.Epsilon0.T1]
l:698 [in hydras.Epsilon0.T1]
L:7 [in hydras.MoreAck.BadSubst]
l:7 [in hydras.Prelude.Sort_spec]
l:7 [in hydras.solutions_exercises.OnCodeList]
l:7 [in hydras.Prelude.Merge_Sort]
l:7 [in hydras.Ackermann.ListExt]
l:70 [in hydras.solutions_exercises.MultisetWf]
l:70 [in hydras.rpo.list_set]
l:71 [in hydras.rpo.rpo]
l:72 [in hydras.solutions_exercises.MultisetWf]
l:73 [in hydras.Prelude.MoreLists]
l:73 [in hydras.Ackermann.folProp]
l:74 [in hydras.rpo.list_set]
l:75 [in hydras.Prelude.MoreLists]
l:76 [in hydras.rpo.more_list]
l:76 [in hydras.rpo.list_set]
l:77 [in hydras.rpo.more_list]
l:77 [in additions.fib]
l:77 [in hydras.rpo.list_set]
l:78 [in hydras.Prelude.Sort_spec]
l:794 [in hydras.Ackermann.checkPrf]
l:8 [in hydras.Schutte.CNF]
l:8 [in hydras.Ackermann.codeSubFormula]
l:8 [in hydras.solutions_exercises.MultisetWf]
l:8 [in hydras.Prelude.Merge_Sort]
l:8 [in hydras.rpo.list_permut]
l:8 [in hydras.Ackermann.codePA]
l:80 [in hydras.Prelude.Merge_Sort]
l:800 [in hydras.Ackermann.checkPrf]
l:805 [in hydras.Ackermann.checkPrf]
l:809 [in hydras.Ackermann.checkPrf]
l:82 [in hydras.rpo.more_list]
l:82 [in hydras.Prelude.Merge_Sort]
l:83 [in hydras.Prelude.Merge_Sort]
l:835 [in hydras.Ackermann.checkPrf]
l:84 [in hydras.Hydra.Hydra_Lemmas]
l:847 [in hydras.Ackermann.checkPrf]
l:85 [in hydras.Prelude.Merge_Sort]
l:86 [in hydras.Prelude.Merge_Sort]
l:86 [in hydras.Hydra.Hydra_Lemmas]
l:86 [in hydras.rpo.list_set]
l:860 [in hydras.Ackermann.checkPrf]
l:864 [in gaia_hydras.nfwfgaia]
l:865 [in hydras.Ackermann.checkPrf]
l:87 [in hydras.rpo.term]
l:87 [in hydras.Gamma0.Gamma0]
l:873 [in gaia_hydras.nfwfgaia]
l:878 [in hydras.Ackermann.checkPrf]
l:88 [in hydras.rpo.list_set]
l:881 [in hydras.Ackermann.checkPrf]
l:9 [in hydras.Hydra.O2H]
l:9 [in hydras.Prelude.First_toggle]
l:90 [in hydras.Ackermann.primRec]
l:93 [in hydras.Prelude.MoreLists]
l:93 [in hydras.rpo.more_list]
l:94 [in hydras.Hydra.O2H]
l:95 [in hydras.Prelude.Merge_Sort]
l:95 [in hydras.Ackermann.primRec]
l:96 [in hydras.Prelude.Merge_Sort]
l:98 [in hydras.Prelude.Merge_Sort]
l:99 [in hydras.rpo.term]
l:99 [in hydras.Ackermann.primRec]

M

map:296 [in hydras.Ackermann.subAll]
map:340 [in hydras.Ackermann.subAll]
map:345 [in hydras.Ackermann.subAll]
map:350 [in hydras.Ackermann.subAll]
map:373 [in hydras.Ackermann.subAll]
merge_aux:115 [in hydras.Prelude.Merge_Sort]
mp:29 [in additions.AM]
mq:28 [in additions.AM]
mq:30 [in additions.AM]
mq:32 [in additions.AM]
mults:5 [in additions.AM]
mult:35 [in additions.FirstSteps]
mult:41 [in additions.FirstSteps]
mul:75 [in additions.fib]
mul:82 [in additions.fib]
mul:88 [in additions.fib]
mul:94 [in additions.fib]
mu:1 [in hydras.Hydra.Epsilon0_Needed_Free]
mu:1 [in hydras.Hydra.Epsilon0_Needed_Std]
mu:160 [in hydras.Hydra.Hydra_Definitions]
mu:2 [in hydras.Hydra.Epsilon0_Needed_Generic]
mu:29 [in gaia_hydras.GHydra]
mu:32 [in gaia_hydras.GHydra]
M'':37 [in additions.Naive]
m':19 [in additions.Monoid_instances]
M':29 [in additions.Naive]
M':32 [in additions.FirstSteps]
M':36 [in additions.Naive]
m':47 [in hydras.rpo.dickson]
m':91 [in hydras.Ackermann.primRec]
m0:60 [in hydras.Ackermann.folLogic3]
m1:12 [in gaia_hydras.nfwfgaia]
m1:14 [in hydras.Ackermann.subAll]
m1:152 [in additions.fib]
m1:16 [in gaia_hydras.nfwfgaia]
m1:19 [in hydras.Ackermann.subAll]
m1:20 [in gaia_hydras.nfwfgaia]
m1:208 [in hydras.Ackermann.subAll]
m1:213 [in hydras.Ackermann.subAll]
m1:218 [in hydras.Ackermann.subAll]
m1:223 [in hydras.Ackermann.subAll]
m1:228 [in hydras.Ackermann.subAll]
m1:24 [in hydras.Ackermann.subAll]
m1:29 [in hydras.Ackermann.subAll]
m1:51 [in hydras.Ackermann.subAll]
m1:659 [in gaia_hydras.nfwfgaia]
m1:663 [in gaia_hydras.nfwfgaia]
m2:13 [in gaia_hydras.nfwfgaia]
m2:15 [in hydras.Ackermann.subAll]
m2:153 [in additions.fib]
m2:17 [in gaia_hydras.nfwfgaia]
m2:20 [in hydras.Ackermann.subAll]
m2:209 [in hydras.Ackermann.subAll]
m2:21 [in gaia_hydras.nfwfgaia]
m2:214 [in hydras.Ackermann.subAll]
m2:219 [in hydras.Ackermann.subAll]
m2:224 [in hydras.Ackermann.subAll]
m2:229 [in hydras.Ackermann.subAll]
m2:25 [in hydras.Ackermann.subAll]
m2:30 [in hydras.Ackermann.subAll]
m2:52 [in hydras.Ackermann.subAll]
m2:660 [in gaia_hydras.nfwfgaia]
m2:664 [in gaia_hydras.nfwfgaia]
M:1 [in hydras.Schutte.Lub]
m:1 [in hydras.MoreAck.Ack]
m:101 [in hydras.Ackermann.primRec]
m:102 [in Goedel.PRrepresentable]
M:102 [in additions.AM]
m:102 [in hydras.Hydra.Hydra_Lemmas]
M:103 [in additions.Euclidean_Chains]
M:105 [in additions.Addition_Chains]
m:106 [in hydras.Ackermann.primRec]
m:107 [in Goedel.PRrepresentable]
M:107 [in additions.AM]
m:109 [in hydras.Ackermann.subAll]
m:11 [in hydras.Prelude.More_Arith]
M:11 [in additions.Compatibility]
M:112 [in additions.AM]
m:112 [in hydras.Hydra.Hydra_Lemmas]
m:113 [in Goedel.PRrepresentable]
M:113 [in additions.Addition_Chains]
m:1134 [in gaia_hydras.nfwfgaia]
M:114 [in additions.Euclidean_Chains]
m:1141 [in gaia_hydras.nfwfgaia]
m:115 [in hydras.Ackermann.subAll]
m:115 [in additions.fib]
m:1156 [in gaia_hydras.nfwfgaia]
m:117 [in Goedel.PRrepresentable]
m:1177 [in gaia_hydras.nfwfgaia]
m:1180 [in gaia_hydras.nfwfgaia]
m:1183 [in gaia_hydras.nfwfgaia]
m:1186 [in gaia_hydras.nfwfgaia]
m:1189 [in gaia_hydras.nfwfgaia]
m:119 [in Goedel.PRrepresentable]
M:119 [in hydras.Epsilon0.Large_Sets]
M:119 [in additions.Addition_Chains]
m:12 [in hydras.Ackermann.subAll]
m:12 [in hydras.rpo.dickson]
M:122 [in additions.AM]
m:1227 [in hydras.Ackermann.codeSubFormula]
m:123 [in Goedel.PRrepresentable]
m:1230 [in hydras.Ackermann.codeSubFormula]
m:1246 [in hydras.Ackermann.codeSubFormula]
m:1249 [in hydras.Ackermann.codeSubFormula]
m:125 [in hydras.Ackermann.cPair]
M:126 [in additions.Addition_Chains]
M:127 [in additions.AM]
m:127 [in hydras.Ackermann.cPair]
m:130 [in Goedel.PRrepresentable]
m:1303 [in hydras.Ackermann.codeSubFormula]
m:1306 [in hydras.Ackermann.codeSubFormula]
m:131 [in hydras.Hydra.Hydra_Lemmas]
M:133 [in additions.Addition_Chains]
m:135 [in Goedel.PRrepresentable]
m:135 [in hydras.Ackermann.codeSubFormula]
m:136 [in additions.fib]
m:1383 [in hydras.Ackermann.codeSubFormula]
m:1386 [in hydras.Ackermann.codeSubFormula]
m:139 [in additions.fib]
M:14 [in additions.Pow_variant]
M:14 [in additions.Pow]
m:14 [in hydras.MoreAck.Ack]
m:141 [in Goedel.PRrepresentable]
m:144 [in hydras.Ackermann.codePA]
m:145 [in hydras.Ackermann.codePA]
m:146 [in Goedel.PRrepresentable]
m:1472 [in gaia_hydras.nfwfgaia]
m:1474 [in gaia_hydras.nfwfgaia]
m:1478 [in gaia_hydras.nfwfgaia]
m:148 [in hydras.Hydra.Hydra_Definitions]
m:1482 [in gaia_hydras.nfwfgaia]
m:1488 [in gaia_hydras.nfwfgaia]
m:1490 [in gaia_hydras.nfwfgaia]
m:15 [in hydras.Ackermann.NNtheory]
m:15 [in hydras.Schutte.Countable]
m:150 [in hydras.Ackermann.cPair]
m:152 [in Goedel.PRrepresentable]
m:1529 [in gaia_hydras.nfwfgaia]
m:153 [in hydras.Ackermann.codePA]
m:154 [in hydras.Ackermann.cPair]
m:154 [in additions.fib]
m:156 [in hydras.Ackermann.cPair]
m:156 [in hydras.Ackermann.codePA]
m:157 [in Goedel.PRrepresentable]
m:158 [in hydras.Ackermann.cPair]
m:158 [in additions.fib]
m:158 [in hydras.Hydra.Hydra_Definitions]
m:159 [in hydras.Ackermann.cPair]
m:16 [in hydras.Ackermann.subAll]
m:16 [in hydras.Ackermann.primRec]
m:16 [in hydras.OrdinalNotations.ON_Generic]
m:16 [in gaia_hydras.onType]
m:160 [in additions.fib]
m:161 [in hydras.Ackermann.cPair]
m:163 [in hydras.Prelude.MoreLists]
M:163 [in additions.Addition_Chains]
M:166 [in additions.Euclidean_Chains]
m:17 [in hydras.Ackermann.codePA]
M:170 [in additions.Addition_Chains]
M:172 [in additions.Euclidean_Chains]
M:176 [in additions.Addition_Chains]
m:1776 [in gaia_hydras.nfwfgaia]
m:1785 [in gaia_hydras.nfwfgaia]
m:18 [in hydras.Prelude.More_Arith]
m:18 [in hydras.MoreAck.AckNotPR]
m:18 [in hydras.Ackermann.primRec]
m:18 [in additions.Monoid_instances]
m:1800 [in gaia_hydras.nfwfgaia]
m:1821 [in gaia_hydras.nfwfgaia]
m:1824 [in gaia_hydras.nfwfgaia]
m:1827 [in gaia_hydras.nfwfgaia]
m:183 [in hydras.Ackermann.fol]
m:1830 [in gaia_hydras.nfwfgaia]
m:1833 [in gaia_hydras.nfwfgaia]
m:184 [in gaia_hydras.nfwfgaia]
m:1848 [in gaia_hydras.nfwfgaia]
m:1855 [in gaia_hydras.nfwfgaia]
M:186 [in additions.Euclidean_Chains]
m:186 [in gaia_hydras.nfwfgaia]
m:1875 [in gaia_hydras.nfwfgaia]
m:188 [in gaia_hydras.nfwfgaia]
m:1881 [in gaia_hydras.nfwfgaia]
m:189 [in hydras.Ackermann.fol]
m:1898 [in gaia_hydras.nfwfgaia]
m:19 [in hydras.Prelude.Compat815]
m:19 [in hydras.Ackermann.model]
m:19 [in hydras.Schutte.Countable]
m:1907 [in gaia_hydras.nfwfgaia]
m:1916 [in gaia_hydras.nfwfgaia]
M:192 [in additions.Addition_Chains]
m:192 [in gaia_hydras.nfwfgaia]
m:1937 [in gaia_hydras.nfwfgaia]
m:1942 [in gaia_hydras.nfwfgaia]
m:1947 [in gaia_hydras.nfwfgaia]
m:196 [in hydras.Ackermann.wellFormed]
m:196 [in gaia_hydras.nfwfgaia]
M:198 [in additions.Euclidean_Chains]
m:1982 [in gaia_hydras.nfwfgaia]
m:1987 [in gaia_hydras.nfwfgaia]
m:199 [in hydras.Ackermann.wellFormed]
m:1993 [in gaia_hydras.nfwfgaia]
m:1998 [in gaia_hydras.nfwfgaia]
m:2 [in hydras.Ackermann.NN2PA]
m:2 [in hydras.Hydra.Epsilon0_Needed_Std]
m:20 [in hydras.Prelude.More_Arith]
M:20 [in additions.Pow_variant]
M:20 [in additions.Pow]
m:20 [in hydras.OrdinalNotations.ON_Generic]
m:20 [in hydras.Ackermann.codePA]
m:2004 [in gaia_hydras.nfwfgaia]
m:202 [in gaia_hydras.nfwfgaia]
m:204 [in gaia_hydras.nfwfgaia]
m:208 [in hydras.Ackermann.cPair]
m:21 [in hydras.Ackermann.subAll]
m:21 [in hydras.Prelude.Compat815]
m:22 [in hydras.Ackermann.primRec]
M:227 [in additions.Addition_Chains]
m:23 [in hydras.Prelude.Compat815]
M:234 [in additions.AM]
M:235 [in additions.Addition_Chains]
m:237 [in Goedel.PRrepresentable]
m:240 [in Goedel.PRrepresentable]
M:241 [in additions.AM]
m:243 [in Goedel.PRrepresentable]
m:246 [in Goedel.PRrepresentable]
m:246 [in hydras.Ackermann.cPair]
m:25 [in hydras.Prelude.Compat815]
m:25 [in hydras.MoreAck.AckNotPR]
m:25 [in hydras.MoreAck.Ack]
m:25 [in hydras.Ackermann.primRec]
m:257 [in hydras.Ackermann.subAll]
m:257 [in hydras.rpo.rpo]
m:26 [in hydras.Ackermann.subAll]
m:26 [in hydras.Ackermann.primRec]
M:269 [in additions.Addition_Chains]
m:269 [in hydras.rpo.rpo]
m:27 [in hydras.Prelude.Compat815]
M:27 [in additions.Pow_variant]
M:27 [in additions.Pow]
m:271 [in hydras.rpo.rpo]
m:272 [in hydras.rpo.rpo]
m:273 [in hydras.rpo.rpo]
m:28 [in hydras.MoreAck.Ack]
m:28 [in hydras.Ackermann.primRec]
M:28 [in additions.Naive]
m:285 [in hydras.Ackermann.subAll]
m:29 [in hydras.Prelude.Compat815]
m:290 [in hydras.Ackermann.subAll]
m:295 [in hydras.Ackermann.subAll]
m:3 [in hydras.Prelude.Compat815]
m:3 [in hydras.Hydra.Epsilon0_Needed_Free]
m:3 [in hydras.Ackermann.PAtheory]
m:30 [in hydras.Ackermann.model]
m:30 [in hydras.Schutte.AP]
M:30 [in additions.Naive]
m:30 [in gaia_hydras.GHydra]
m:31 [in hydras.Ackermann.subAll]
M:31 [in additions.FirstSteps]
m:31 [in hydras.Prelude.Compat815]
m:315 [in hydras.Ackermann.subAll]
m:32 [in hydras.Ackermann.primRec]
M:33 [in additions.Pow_variant]
M:33 [in additions.Pow]
m:33 [in hydras.Schutte.AP]
m:33 [in hydras.MoreAck.Ack]
m:33 [in gaia_hydras.GHydra]
M:34 [in additions.Naive]
m:35 [in hydras.Ackermann.subAll]
m:35 [in hydras.Prelude.Compat815]
m:35 [in hydras.Ackermann.primRec]
M:35 [in additions.Naive]
m:35 [in hydras.Ackermann.folLogic3]
m:36 [in hydras.MoreAck.AckNotPR]
m:37 [in additions.Addition_Chains]
M:38 [in additions.Naive]
m:385 [in gaia_hydras.nfwfgaia]
m:387 [in gaia_hydras.nfwfgaia]
m:39 [in hydras.Ackermann.subAll]
M:39 [in additions.AM]
M:39 [in additions.Euclidean_Chains]
m:4 [in hydras.Hydra.Epsilon0_Needed_Generic]
M:40 [in additions.Monoid_def]
m:40 [in additions.fib]
m:41 [in hydras.Ackermann.subAll]
M:43 [in additions.Pow_variant]
M:43 [in additions.Pow]
m:43 [in hydras.Ackermann.primRec]
m:43 [in hydras.Ackermann.wellFormed]
m:439 [in gaia_hydras.nfwfgaia]
M:44 [in hydras.Schutte.Schutte_basics]
m:447 [in Goedel.PRrepresentable]
m:45 [in hydras.Ackermann.subAll]
M:45 [in additions.AM]
M:45 [in additions.Monoid_def]
m:45 [in hydras.Ackermann.wellFormed]
m:45 [in hydras.rpo.dickson]
m:458 [in Goedel.PRrepresentable]
m:46 [in hydras.MoreAck.Ack]
m:46 [in hydras.rpo.dickson]
m:461 [in Goedel.PRrepresentable]
m:466 [in Goedel.PRrepresentable]
m:469 [in Goedel.PRrepresentable]
m:47 [in hydras.MoreAck.Ack]
m:476 [in gaia_hydras.nfwfgaia]
m:479 [in gaia_hydras.nfwfgaia]
m:48 [in hydras.Ackermann.wellFormed]
m:482 [in gaia_hydras.nfwfgaia]
m:485 [in gaia_hydras.nfwfgaia]
m:488 [in gaia_hydras.nfwfgaia]
m:49 [in hydras.rpo.dickson]
m:5 [in hydras.Prelude.Compat815]
M:5 [in additions.Pow_variant]
M:5 [in additions.Pow]
m:5 [in hydras.Ackermann.PAtheory]
m:50 [in Goedel.PRrepresentable]
M:50 [in additions.Monoid_def]
m:50 [in hydras.Ackermann.primRec]
m:50 [in hydras.Ackermann.wellFormed]
M:50 [in additions.Addition_Chains]
M:51 [in hydras.Schutte.Well_Orders]
M:52 [in additions.Pow_variant]
M:52 [in additions.Pow]
m:52 [in hydras.rpo.dickson]
m:53 [in hydras.Ackermann.subAll]
m:53 [in hydras.MoreAck.Ack]
m:53 [in hydras.Ackermann.primRec]
m:53 [in hydras.Ackermann.wellFormed]
m:53 [in hydras.rpo.dickson]
m:539 [in hydras.Ackermann.checkPrf]
m:54 [in hydras.MoreAck.AckNotPR]
m:54 [in hydras.Ackermann.primRec]
m:54 [in hydras.rpo.dickson]
m:542 [in hydras.Ackermann.checkPrf]
m:545 [in gaia_hydras.nfwfgaia]
m:546 [in hydras.Ackermann.checkPrf]
m:549 [in hydras.Ackermann.checkPrf]
m:549 [in gaia_hydras.nfwfgaia]
M:55 [in additions.Monoid_def]
m:551 [in hydras.Ackermann.checkPrf]
m:553 [in hydras.Ackermann.checkPrf]
m:555 [in hydras.Ackermann.checkPrf]
m:557 [in hydras.Ackermann.checkPrf]
m:559 [in hydras.Ackermann.checkPrf]
m:56 [in Goedel.PRrepresentable]
M:56 [in additions.AM]
M:56 [in hydras.Schutte.Well_Orders]
m:56 [in gaia_hydras.nfwfgaia]
m:561 [in hydras.Ackermann.checkPrf]
m:562 [in hydras.Ackermann.checkPrf]
m:569 [in hydras.Ackermann.checkPrf]
M:57 [in additions.Euclidean_Chains]
m:57 [in hydras.rpo.dickson]
m:570 [in hydras.Ackermann.checkPrf]
m:571 [in hydras.Ackermann.checkPrf]
m:572 [in hydras.Ackermann.checkPrf]
m:573 [in hydras.Ackermann.checkPrf]
m:574 [in hydras.Ackermann.checkPrf]
m:574 [in gaia_hydras.nfwfgaia]
m:575 [in hydras.Ackermann.checkPrf]
m:575 [in gaia_hydras.nfwfgaia]
m:576 [in hydras.Ackermann.checkPrf]
m:577 [in hydras.Ackermann.checkPrf]
m:578 [in hydras.Ackermann.checkPrf]
m:579 [in hydras.Ackermann.checkPrf]
m:580 [in hydras.Ackermann.checkPrf]
m:581 [in hydras.Ackermann.checkPrf]
m:582 [in hydras.Ackermann.checkPrf]
m:583 [in hydras.Ackermann.checkPrf]
m:584 [in hydras.Ackermann.checkPrf]
m:585 [in hydras.Ackermann.checkPrf]
m:586 [in hydras.Ackermann.checkPrf]
m:587 [in hydras.Ackermann.checkPrf]
m:588 [in hydras.Ackermann.checkPrf]
m:59 [in hydras.Ackermann.subAll]
m:59 [in hydras.MoreAck.AckNotPR]
m:59 [in hydras.rpo.dickson]
m:590 [in hydras.Ackermann.checkPrf]
m:592 [in hydras.Ackermann.checkPrf]
m:594 [in hydras.Ackermann.checkPrf]
m:596 [in hydras.Ackermann.checkPrf]
m:598 [in hydras.Ackermann.checkPrf]
m:6 [in hydras.MoreAck.Ack]
m:6 [in hydras.Ackermann.primRec]
m:60 [in Goedel.PRrepresentable]
M:60 [in additions.Pow_variant]
M:60 [in additions.Pow]
m:60 [in hydras.MoreAck.Ack]
M:60 [in additions.Monoid_def]
m:600 [in hydras.Ackermann.checkPrf]
m:601 [in hydras.Ackermann.primRec]
m:602 [in hydras.Ackermann.checkPrf]
m:604 [in hydras.Ackermann.checkPrf]
m:606 [in hydras.Ackermann.checkPrf]
m:606 [in hydras.Ackermann.primRec]
m:608 [in hydras.Ackermann.checkPrf]
m:609 [in hydras.Ackermann.checkPrf]
m:609 [in hydras.Ackermann.primRec]
m:609 [in gaia_hydras.nfwfgaia]
m:61 [in hydras.MoreAck.Ack]
M:61 [in additions.Addition_Chains]
m:61 [in hydras.rpo.dickson]
m:610 [in hydras.Ackermann.checkPrf]
m:611 [in hydras.Ackermann.checkPrf]
m:612 [in hydras.Ackermann.checkPrf]
m:612 [in hydras.Ackermann.primRec]
m:613 [in hydras.Ackermann.checkPrf]
m:614 [in hydras.Ackermann.checkPrf]
m:615 [in hydras.Ackermann.checkPrf]
m:615 [in hydras.Ackermann.primRec]
m:616 [in hydras.Ackermann.checkPrf]
m:617 [in hydras.Ackermann.checkPrf]
m:619 [in hydras.Ackermann.checkPrf]
m:62 [in hydras.MoreAck.AckNotPR]
m:62 [in hydras.MoreAck.Ack]
m:62 [in hydras.Ackermann.wellFormed]
m:621 [in hydras.Ackermann.checkPrf]
m:623 [in hydras.Ackermann.checkPrf]
m:623 [in hydras.Ackermann.primRec]
m:625 [in hydras.Ackermann.checkPrf]
m:627 [in hydras.Ackermann.checkPrf]
m:627 [in hydras.Ackermann.primRec]
m:629 [in hydras.Ackermann.checkPrf]
M:63 [in additions.AM]
m:63 [in hydras.MoreAck.Ack]
m:63 [in additions.fib]
m:631 [in hydras.Ackermann.checkPrf]
m:632 [in hydras.Ackermann.primRec]
m:633 [in hydras.Ackermann.checkPrf]
m:635 [in hydras.Ackermann.checkPrf]
m:635 [in hydras.Ackermann.primRec]
m:637 [in hydras.Ackermann.checkPrf]
m:638 [in hydras.Ackermann.checkPrf]
m:639 [in hydras.Ackermann.checkPrf]
m:64 [in Goedel.PRrepresentable]
m:640 [in hydras.Ackermann.checkPrf]
m:640 [in hydras.Ackermann.primRec]
m:641 [in hydras.Ackermann.checkPrf]
m:642 [in hydras.Ackermann.checkPrf]
m:643 [in hydras.Ackermann.checkPrf]
m:644 [in hydras.Ackermann.checkPrf]
m:645 [in hydras.Ackermann.checkPrf]
m:646 [in hydras.Ackermann.checkPrf]
m:646 [in hydras.Ackermann.primRec]
m:647 [in hydras.Ackermann.checkPrf]
m:648 [in hydras.Ackermann.checkPrf]
M:65 [in additions.Monoid_def]
M:65 [in additions.Euclidean_Chains]
m:651 [in hydras.Ackermann.primRec]
m:651 [in gaia_hydras.nfwfgaia]
m:66 [in hydras.MoreAck.Ack]
M:67 [in additions.Addition_Chains]
m:68 [in Goedel.PRrepresentable]
m:68 [in gaia_hydras.nfwfgaia]
m:69 [in hydras.MoreAck.Ack]
m:69 [in additions.fib]
M:7 [in hydras.Schutte.Lub]
m:70 [in hydras.Ackermann.subAll]
m:704 [in gaia_hydras.nfwfgaia]
m:71 [in hydras.MoreAck.Ack]
m:714 [in gaia_hydras.nfwfgaia]
m:72 [in Goedel.PRrepresentable]
M:72 [in additions.Euclidean_Chains]
m:73 [in hydras.MoreAck.Ack]
M:73 [in additions.Monoid_def]
m:74 [in hydras.Ackermann.subAll]
m:75 [in hydras.MoreAck.Ack]
M:75 [in additions.Addition_Chains]
m:751 [in gaia_hydras.nfwfgaia]
m:754 [in gaia_hydras.nfwfgaia]
M:76 [in additions.AM]
m:76 [in hydras.Ackermann.primRec]
m:76 [in additions.fib]
m:77 [in Goedel.PRrepresentable]
m:78 [in hydras.MoreAck.Ack]
m:79 [in hydras.Prelude.Sort_spec]
m:8 [in hydras.Ackermann.subAll]
m:8 [in hydras.Prelude.More_Arith]
m:8 [in hydras.Ackermann.primRec]
m:807 [in gaia_hydras.nfwfgaia]
m:809 [in gaia_hydras.nfwfgaia]
m:82 [in hydras.MoreAck.Ack]
m:83 [in Goedel.PRrepresentable]
m:83 [in hydras.Ackermann.subAll]
m:83 [in additions.fib]
m:837 [in hydras.Ackermann.codeSubFormula]
m:840 [in hydras.Ackermann.codeSubFormula]
m:845 [in hydras.Ackermann.checkPrf]
m:85 [in hydras.MoreAck.Ack]
m:85 [in additions.fib]
m:857 [in hydras.Ackermann.checkPrf]
M:86 [in additions.AM]
m:862 [in hydras.Ackermann.checkPrf]
m:868 [in hydras.Ackermann.codeSubFormula]
m:87 [in Goedel.PRrepresentable]
m:87 [in hydras.Ackermann.subAll]
m:871 [in hydras.Ackermann.codeSubFormula]
m:89 [in hydras.Ackermann.primRec]
m:892 [in hydras.Ackermann.codeSubFormula]
m:895 [in hydras.Ackermann.codeSubFormula]
m:9 [in hydras.Ackermann.subAll]
m:908 [in hydras.Ackermann.codeSubFormula]
m:91 [in Goedel.PRrepresentable]
m:911 [in hydras.Ackermann.codeSubFormula]
M:92 [in additions.Euclidean_Chains]
m:93 [in hydras.Ackermann.subAll]
m:935 [in hydras.Ackermann.codeSubFormula]
m:938 [in hydras.Ackermann.codeSubFormula]
m:94 [in hydras.Ackermann.primRec]
m:95 [in Goedel.PRrepresentable]
m:966 [in gaia_hydras.nfwfgaia]
m:968 [in gaia_hydras.nfwfgaia]
m:97 [in hydras.Ackermann.subAll]
M:97 [in additions.AM]
m:970 [in gaia_hydras.nfwfgaia]
m:974 [in gaia_hydras.nfwfgaia]
m:978 [in gaia_hydras.nfwfgaia]
m:98 [in hydras.Ackermann.primRec]
m:984 [in gaia_hydras.nfwfgaia]
m:986 [in gaia_hydras.nfwfgaia]

N

NA:4 [in hydras.OrdinalNotations.ON_mult]
NA:4 [in hydras.OrdinalNotations.ON_plus]
NB:8 [in hydras.OrdinalNotations.ON_mult]
NB:8 [in hydras.OrdinalNotations.ON_plus]
nv:118 [in hydras.Ackermann.folProp]
nv:13 [in hydras.MoreAck.BadSubst]
nv:2 [in hydras.Ackermann.PAtheory]
nv:283 [in hydras.Ackermann.folProp]
nv:30 [in Goedel.codeSysPrf]
nv:404 [in hydras.Ackermann.folProp]
nv:432 [in hydras.Ackermann.folProp]
nv:437 [in hydras.Ackermann.folProp]
nv:48 [in hydras.Ackermann.subAll]
nv:65 [in hydras.Ackermann.codeSubFormula]
n'':11 [in gaia_hydras.nfwfgaia]
n'':8 [in gaia_hydras.nfwfgaia]
n':10 [in gaia_hydras.nfwfgaia]
n':1024 [in gaia_hydras.nfwfgaia]
n':1152 [in gaia_hydras.nfwfgaia]
n':117 [in hydras.Epsilon0.T1]
n':1204 [in gaia_hydras.nfwfgaia]
n':131 [in gaia_hydras.nfwfgaia]
n':1338 [in gaia_hydras.nfwfgaia]
n':1384 [in gaia_hydras.nfwfgaia]
n':139 [in hydras.Gamma0.Gamma0]
n':14 [in hydras.rpo.dickson]
n':1436 [in gaia_hydras.nfwfgaia]
n':1500 [in gaia_hydras.nfwfgaia]
n':1556 [in gaia_hydras.nfwfgaia]
n':1585 [in gaia_hydras.nfwfgaia]
n':1609 [in gaia_hydras.nfwfgaia]
n':165 [in hydras.Epsilon0.T1]
n':1691 [in gaia_hydras.nfwfgaia]
n':174 [in gaia_hydras.nfwfgaia]
n':176 [in hydras.Epsilon0.T1]
n':19 [in hydras.Epsilon0.Hessenberg]
n':194 [in hydras.Epsilon0.T1]
n':2043 [in gaia_hydras.nfwfgaia]
n':2066 [in gaia_hydras.nfwfgaia]
n':223 [in hydras.Epsilon0.T1]
n':225 [in gaia_hydras.nfwfgaia]
n':231 [in gaia_hydras.nfwfgaia]
n':24 [in hydras.Schutte.Correctness_E0]
n':25 [in hydras.Epsilon0.Hessenberg]
n':258 [in gaia_hydras.nfwfgaia]
n':259 [in hydras.rpo.rpo]
n':27 [in hydras.Gamma0.Gamma0]
n':285 [in hydras.Epsilon0.T1]
n':29 [in hydras.Schutte.Correctness_E0]
n':294 [in gaia_hydras.nfwfgaia]
n':3 [in gaia_hydras.nfwfgaia]
n':30 [in hydras.Epsilon0.Hessenberg]
n':301 [in hydras.Gamma0.Gamma0]
n':305 [in hydras.Gamma0.Gamma0]
n':324 [in hydras.Epsilon0.T1]
n':329 [in hydras.Epsilon0.T1]
n':34 [in hydras.Epsilon0.T1]
n':347 [in hydras.Epsilon0.T1]
n':359 [in hydras.Epsilon0.T1]
n':36 [in hydras.Epsilon0.Hessenberg]
n':366 [in hydras.Epsilon0.T1]
n':380 [in hydras.Epsilon0.T1]
n':42 [in hydras.Epsilon0.Hessenberg]
n':425 [in gaia_hydras.nfwfgaia]
n':429 [in hydras.Epsilon0.T1]
n':430 [in gaia_hydras.nfwfgaia]
n':434 [in hydras.Epsilon0.T1]
n':440 [in hydras.Epsilon0.T1]
n':5 [in gaia_hydras.nfwfgaia]
n':50 [in hydras.Epsilon0.Epsilon0rpo]
n':50 [in hydras.OrdinalNotations.OmegaOmega]
n':52 [in hydras.Epsilon0.Hessenberg]
n':535 [in hydras.Epsilon0.T1]
n':54 [in gaia_hydras.T1Bridge]
n':55 [in hydras.Epsilon0.T1]
n':55 [in hydras.Epsilon0.Epsilon0rpo]
n':58 [in hydras.OrdinalNotations.OmegaOmega]
n':59 [in hydras.Epsilon0.Epsilon0rpo]
n':59 [in gaia_hydras.T1Bridge]
n':590 [in hydras.Gamma0.Gamma0]
n':64 [in gaia_hydras.T1Bridge]
n':68 [in hydras.Epsilon0.T1]
n':7 [in gaia_hydras.nfwfgaia]
n':70 [in gaia_hydras.T1Bridge]
n':726 [in hydras.Epsilon0.T1]
n':75 [in hydras.Epsilon0.T1]
n':76 [in gaia_hydras.T1Bridge]
n':79 [in hydras.Epsilon0.T1]
n':790 [in gaia_hydras.nfwfgaia]
n':83 [in hydras.Gamma0.T2]
n':84 [in hydras.Epsilon0.T1]
n':848 [in gaia_hydras.nfwfgaia]
n':871 [in gaia_hydras.nfwfgaia]
n':908 [in gaia_hydras.nfwfgaia]
n':916 [in gaia_hydras.nfwfgaia]
n':94 [in hydras.Epsilon0.T1]
n':948 [in gaia_hydras.nfwfgaia]
n':99 [in hydras.Epsilon0.T1]
n0:18 [in hydras.Ackermann.wellFormed]
n0:194 [in hydras.Ackermann.fol]
n0:195 [in hydras.Ackermann.fol]
n0:196 [in hydras.Ackermann.fol]
n0:197 [in hydras.Ackermann.fol]
n0:20 [in hydras.Ackermann.wellFormed]
n0:231 [in hydras.Ackermann.subAll]
n0:232 [in hydras.Ackermann.subAll]
n0:241 [in hydras.Ackermann.subAll]
n0:243 [in hydras.Ackermann.subAll]
n0:31 [in hydras.Schutte.AP]
n0:32 [in hydras.Schutte.AP]
n0:379 [in hydras.Epsilon0.Paths]
n0:653 [in hydras.Ackermann.primRec]
n1:105 [in Goedel.rosserPA]
n1:107 [in hydras.Epsilon0.T1]
n1:107 [in Goedel.rosserPA]
n1:122 [in additions.Euclidean_Chains]
n1:131 [in additions.Euclidean_Chains]
n1:14 [in gaia_hydras.nfwfgaia]
n1:15 [in hydras.Prelude.Compat815]
n1:18 [in gaia_hydras.nfwfgaia]
n1:198 [in hydras.Ackermann.fol]
n1:199 [in hydras.Ackermann.fol]
n1:22 [in gaia_hydras.nfwfgaia]
n1:223 [in Goedel.PRrepresentable]
n1:230 [in Goedel.PRrepresentable]
n1:318 [in hydras.Gamma0.Gamma0]
n1:32 [in hydras.Gamma0.T2]
n1:324 [in hydras.Gamma0.Gamma0]
n1:340 [in hydras.Gamma0.Gamma0]
n1:345 [in hydras.Gamma0.Gamma0]
n1:362 [in hydras.Gamma0.Gamma0]
n1:368 [in hydras.Gamma0.Gamma0]
n1:38 [in Goedel.rosser]
n1:380 [in hydras.Epsilon0.Paths]
n1:384 [in hydras.Gamma0.Gamma0]
n1:389 [in hydras.Gamma0.Gamma0]
n1:39 [in hydras.Gamma0.T2]
n1:39 [in hydras.Gamma0.Gamma0]
n1:400 [in hydras.Gamma0.Gamma0]
n1:410 [in hydras.Gamma0.Gamma0]
n1:43 [in Goedel.rosser]
n1:45 [in Goedel.rosser]
n1:47 [in hydras.Gamma0.T2]
n1:47 [in hydras.Gamma0.Gamma0]
n1:50 [in Goedel.rosser]
n1:54 [in hydras.Gamma0.T2]
n1:55 [in hydras.Gamma0.Gamma0]
n1:60 [in hydras.Gamma0.T2]
n1:63 [in hydras.Gamma0.Gamma0]
n1:66 [in hydras.Gamma0.T2]
n1:661 [in gaia_hydras.nfwfgaia]
n1:665 [in gaia_hydras.nfwfgaia]
n1:68 [in Goedel.rosserPA]
n1:71 [in hydras.Gamma0.Gamma0]
n1:73 [in Goedel.rosserPA]
n1:75 [in Goedel.rosserPA]
n1:78 [in hydras.Gamma0.Gamma0]
n1:80 [in Goedel.rosserPA]
n1:82 [in additions.Euclidean_Chains]
n1:84 [in hydras.Gamma0.Gamma0]
n1:94 [in Goedel.rosserPA]
n1:99 [in Goedel.rosserPA]
n2:123 [in additions.Euclidean_Chains]
n2:132 [in additions.Euclidean_Chains]
n2:15 [in gaia_hydras.nfwfgaia]
n2:19 [in gaia_hydras.nfwfgaia]
n2:23 [in gaia_hydras.nfwfgaia]
n2:325 [in hydras.Gamma0.Gamma0]
n2:33 [in hydras.Gamma0.T2]
n2:332 [in hydras.Gamma0.Gamma0]
n2:346 [in hydras.Gamma0.Gamma0]
n2:352 [in hydras.Gamma0.Gamma0]
n2:369 [in hydras.Gamma0.Gamma0]
n2:376 [in hydras.Gamma0.Gamma0]
n2:381 [in hydras.Epsilon0.Paths]
n2:390 [in hydras.Gamma0.Gamma0]
n2:396 [in hydras.Gamma0.Gamma0]
n2:40 [in hydras.Gamma0.T2]
n2:40 [in hydras.Gamma0.Gamma0]
n2:401 [in hydras.Gamma0.Gamma0]
n2:406 [in hydras.Gamma0.Gamma0]
n2:48 [in hydras.Gamma0.T2]
n2:48 [in hydras.Gamma0.Gamma0]
n2:55 [in hydras.Gamma0.T2]
n2:56 [in hydras.Gamma0.Gamma0]
n2:61 [in hydras.Gamma0.T2]
n2:64 [in hydras.Gamma0.Gamma0]
n2:662 [in gaia_hydras.nfwfgaia]
n2:666 [in gaia_hydras.nfwfgaia]
n2:72 [in hydras.Gamma0.Gamma0]
n2:79 [in hydras.Gamma0.Gamma0]
n2:83 [in additions.Euclidean_Chains]
n2:871 [in hydras.Ackermann.checkPrf]
n2:874 [in hydras.Ackermann.checkPrf]
n3:17 [in hydras.Prelude.Compat815]
n3:48 [in Goedel.rosser]
n3:53 [in Goedel.rosser]
n3:78 [in Goedel.rosserPA]
n3:83 [in Goedel.rosserPA]
n:1 [in hydras.solutions_exercises.MinPR2]
n:1 [in additions.Fib2]
n:1 [in hydras.Prelude.More_Arith]
n:1 [in hydras.Ackermann.extEqualNat]
n:1 [in hydras.MoreAck.expressibleExamples]
n:1 [in hydras.Prelude.Compat815]
n:1 [in hydras.Prelude.Fuel]
n:1 [in hydras.Epsilon0.F_omega]
n:1 [in hydras.OrdinalNotations.OmegaOmega]
n:1 [in hydras.solutions_exercises.MorePRExamples]
n:1 [in hydras.solutions_exercises.FibonacciPR]
n:1 [in hydras.Ackermann.cPair]
n:1 [in gaia_hydras.ON_gfinite]
n:1 [in additions.Monoid_instances]
n:1 [in hydras.OrdinalNotations.ON_Finite]
n:1 [in additions.fib]
n:1 [in hydras.Ackermann.codeList]
n:1 [in hydras.Prelude.LibHyps_Experiments]
n:1 [in hydras.solutions_exercises.F_3]
n:1 [in hydras.Ackermann.codeNatToTerm]
n:1 [in hydras.Prelude.Exp2]
n:1 [in additions.Demo]
n:1 [in hydras.MoreAck.PrimRecExamples]
n:10 [in hydras.Prelude.More_Arith]
n:10 [in hydras.Ackermann.codeFreeVar]
n:10 [in hydras.MoreAck.expressibleExamples]
n:10 [in hydras.Ackermann.checkPrf]
n:10 [in hydras.solutions_exercises.MultisetWf]
n:10 [in hydras.Prelude.Fuel]
n:10 [in hydras.Epsilon0.F_omega]
n:10 [in hydras.MoreAck.Ack]
n:10 [in hydras.solutions_exercises.FibonacciPR]
n:10 [in gaia_hydras.ON_gfinite]
n:10 [in hydras.OrdinalNotations.ON_Finite]
n:10 [in gaia_hydras.onType]
n:10 [in hydras.Ackermann.codeList]
n:10 [in Goedel.codeSysPrf]
n:10 [in hydras.solutions_exercises.isqrt]
n:100 [in Goedel.PRrepresentable]
n:100 [in hydras.Ackermann.subAll]
n:100 [in hydras.Prelude.Iterates]
n:100 [in hydras.Prelude.MoreLists]
n:100 [in hydras.Ackermann.primRec]
n:100 [in hydras.Ackermann.fol]
n:100 [in hydras.Ackermann.codeList]
n:100 [in hydras.MoreAck.PrimRecExamples]
n:101 [in hydras.Gamma0.T2]
n:101 [in hydras.Ackermann.subAll]
n:101 [in hydras.Ackermann.folProp]
n:101 [in Goedel.rosserPA]
n:101 [in hydras.Ackermann.fol]
n:101 [in hydras.Epsilon0.Canon]
n:101 [in hydras.Ackermann.codeList]
n:101 [in hydras.MoreAck.PrimRecExamples]
n:1010 [in gaia_hydras.nfwfgaia]
n:102 [in hydras.Ackermann.fol]
n:102 [in hydras.Ackermann.codeList]
n:1021 [in gaia_hydras.nfwfgaia]
n:1028 [in gaia_hydras.nfwfgaia]
n:103 [in hydras.Epsilon0.T1]
n:103 [in hydras.Ackermann.subAll]
n:103 [in Goedel.rosserPA]
n:103 [in hydras.Ackermann.codeList]
n:103 [in hydras.Epsilon0.Hprime]
n:103 [in hydras.Prelude.MoreVectors]
n:1031 [in gaia_hydras.nfwfgaia]
n:1033 [in gaia_hydras.nfwfgaia]
n:1036 [in gaia_hydras.nfwfgaia]
n:104 [in hydras.Ackermann.subAll]
n:104 [in hydras.Ackermann.LNN2LNT]
n:104 [in hydras.Ackermann.codeList]
n:105 [in hydras.Ackermann.subProp]
n:105 [in hydras.Ackermann.primRec]
n:105 [in hydras.Ackermann.fol]
n:105 [in hydras.Epsilon0.Canon]
n:105 [in hydras.Hydra.Hydra_Definitions]
n:1051 [in gaia_hydras.nfwfgaia]
n:106 [in hydras.Epsilon0.T1]
n:106 [in Goedel.PRrepresentable]
n:106 [in hydras.Ackermann.subAll]
n:106 [in hydras.Prelude.Iterates]
n:106 [in hydras.Ackermann.LNN2LNT]
n:106 [in additions.Pow]
n:106 [in hydras.Ackermann.fol]
n:106 [in hydras.Prelude.MoreVectors]
n:107 [in hydras.Ackermann.subAll]
n:107 [in hydras.MoreAck.AckNotPR]
n:107 [in hydras.Ackermann.subProp]
n:107 [in additions.fib]
n:107 [in hydras.Ackermann.codeList]
n:107 [in hydras.MoreAck.PrimRecExamples]
n:107 [in hydras.Hydra.Hydra_Definitions]
n:1073 [in gaia_hydras.nfwfgaia]
n:109 [in hydras.Ackermann.LNN2LNT]
n:109 [in hydras.Ackermann.folProp]
n:11 [in hydras.Ackermann.folProof]
n:11 [in gaia_hydras.GF_alpha]
n:11 [in hydras.Prelude.Compat815]
n:11 [in hydras.Ackermann.LNN2LNT]
n:11 [in gaia_hydras.GCanon]
n:11 [in hydras.Ackermann.subProp]
n:11 [in hydras.Ackermann.codeSubFormula]
n:11 [in hydras.Hydra.Hydra_Theorems]
n:11 [in hydras.Ackermann.primRec]
n:11 [in gaia_hydras.ON_gfinite]
n:11 [in hydras.Gamma0.Gamma0]
n:110 [in hydras.Prelude.Iterates]
n:110 [in hydras.Epsilon0.Hprime]
n:111 [in hydras.Ackermann.LNN2LNT]
n:111 [in hydras.Ackermann.primRec]
n:112 [in Goedel.PRrepresentable]
n:112 [in hydras.Gamma0.T2]
n:112 [in hydras.Ackermann.subAll]
n:112 [in hydras.Epsilon0.F_alpha]
n:112 [in hydras.Ackermann.codeList]
n:112 [in hydras.Epsilon0.Hprime]
n:113 [in gaia_hydras.T1Bridge]
n:1133 [in gaia_hydras.nfwfgaia]
n:114 [in hydras.Epsilon0.T1]
n:114 [in hydras.Ackermann.subProp]
n:114 [in additions.fib]
n:114 [in hydras.Epsilon0.Hprime]
n:1140 [in gaia_hydras.nfwfgaia]
n:1142 [in gaia_hydras.nfwfgaia]
n:1146 [in gaia_hydras.nfwfgaia]
n:115 [in hydras.Epsilon0.F_alpha]
n:115 [in hydras.Ackermann.codeList]
n:115 [in hydras.Hydra.Hydra_Definitions]
n:1157 [in gaia_hydras.nfwfgaia]
n:116 [in hydras.Prelude.Iterates]
n:116 [in hydras.Ackermann.subProp]
n:116 [in hydras.Ackermann.primRec]
n:116 [in hydras.Epsilon0.Hprime]
n:117 [in hydras.Gamma0.Gamma0]
n:1178 [in gaia_hydras.nfwfgaia]
n:118 [in Goedel.PRrepresentable]
n:118 [in hydras.Ackermann.subAll]
n:118 [in hydras.Ackermann.subProp]
n:1181 [in gaia_hydras.nfwfgaia]
n:1184 [in gaia_hydras.nfwfgaia]
n:1187 [in gaia_hydras.nfwfgaia]
n:119 [in hydras.Ackermann.subAll]
n:119 [in hydras.Ackermann.folProp]
n:119 [in hydras.Epsilon0.Hprime]
n:1190 [in gaia_hydras.nfwfgaia]
n:12 [in hydras.Schutte.Correctness_E0]
n:12 [in Goedel.PRrepresentable]
n:12 [in hydras.Prelude.More_Arith]
n:12 [in hydras.Prelude.Iterates]
n:12 [in hydras.Ackermann.codeFreeVar]
n:12 [in hydras.Prelude.Compat815]
n:12 [in Goedel.fixPoint]
n:12 [in hydras.Epsilon0.F_omega]
n:12 [in hydras.Hydra.Hydra_Theorems]
n:12 [in gaia_hydras.ON_gfinite]
n:12 [in hydras.Ackermann.fol]
n:12 [in gaia_hydras.onType]
n:12 [in hydras.Ackermann.codeList]
n:12 [in hydras.Ackermann.expressible]
n:12 [in hydras.Prelude.MoreVectors]
n:120 [in hydras.Ackermann.subAll]
n:120 [in hydras.Epsilon0.F_alpha]
N:120 [in hydras.Epsilon0.Large_Sets]
n:120 [in hydras.Ackermann.codeList]
n:121 [in Goedel.PRrepresentable]
n:121 [in hydras.Ackermann.folProp]
n:121 [in gaia_hydras.T1Bridge]
n:121 [in hydras.Ackermann.primRec]
n:121 [in hydras.Epsilon0.Hprime]
n:1215 [in hydras.Ackermann.codeSubFormula]
n:1219 [in hydras.Ackermann.codeSubFormula]
n:122 [in hydras.Prelude.Iterates]
n:122 [in hydras.Ackermann.subProp]
n:1226 [in hydras.Ackermann.codeSubFormula]
n:1229 [in hydras.Ackermann.codeSubFormula]
n:123 [in hydras.Ackermann.subAll]
N:123 [in hydras.Epsilon0.Large_Sets]
n:123 [in hydras.Ackermann.codeList]
n:124 [in hydras.Ackermann.subAll]
n:124 [in hydras.Epsilon0.Hessenberg]
n:1245 [in hydras.Ackermann.codeSubFormula]
n:1247 [in gaia_hydras.nfwfgaia]
n:1248 [in hydras.Ackermann.codeSubFormula]
n:125 [in hydras.Gamma0.T2]
n:125 [in hydras.Ackermann.subAll]
n:125 [in hydras.Prelude.Iterates]
n:1252 [in hydras.Ackermann.codeSubFormula]
n:1254 [in hydras.Ackermann.codeSubFormula]
n:126 [in hydras.Ackermann.subAll]
n:126 [in hydras.Ackermann.primRec]
n:126 [in hydras.Ackermann.cPair]
n:126 [in hydras.Ackermann.codeList]
n:126 [in hydras.Epsilon0.Hprime]
n:1260 [in hydras.Ackermann.codeSubFormula]
n:1262 [in hydras.Ackermann.codeSubFormula]
n:1264 [in hydras.Ackermann.codeSubFormula]
n:127 [in hydras.Ackermann.subAll]
n:127 [in hydras.Epsilon0.Hessenberg]
n:127 [in hydras.Ackermann.subProp]
n:1277 [in gaia_hydras.nfwfgaia]
n:128 [in Goedel.PRrepresentable]
n:128 [in hydras.Ackermann.subAll]
n:128 [in additions.AM]
n:128 [in gaia_hydras.nfwfgaia]
n:129 [in hydras.Gamma0.T2]
n:129 [in hydras.Prelude.Iterates]
n:129 [in hydras.Ackermann.primRec]
n:129 [in hydras.Ackermann.codeList]
n:13 [in hydras.Prelude.More_Arith]
n:13 [in hydras.Ackermann.LNN2LNT]
n:13 [in hydras.Ackermann.codeSubFormula]
n:13 [in hydras.Schutte.AP]
n:13 [in hydras.Hydra.Hydra_Theorems]
n:13 [in hydras.solutions_exercises.FibonacciPR]
n:13 [in gaia_hydras.ON_gfinite]
n:13 [in hydras.OrdinalNotations.ON_Finite]
n:13 [in hydras.Epsilon0.E0]
n:13 [in hydras.Ackermann.wConsistent]
n:13 [in hydras.rpo.dickson]
n:130 [in hydras.Epsilon0.Hessenberg]
n:130 [in hydras.Ackermann.cPair]
n:130 [in hydras.Epsilon0.Hprime]
n:1302 [in hydras.Ackermann.codeSubFormula]
n:1305 [in hydras.Ackermann.codeSubFormula]
n:131 [in additions.AM]
n:1317 [in gaia_hydras.nfwfgaia]
n:132 [in additions.AM]
n:132 [in hydras.rpo.more_list]
n:132 [in hydras.Ackermann.codeList]
n:133 [in hydras.Gamma0.T2]
n:133 [in additions.AM]
n:133 [in hydras.Ackermann.primRec]
n:1333 [in gaia_hydras.nfwfgaia]
n:134 [in hydras.Ackermann.codeSubFormula]
n:134 [in hydras.Ackermann.primRec]
n:134 [in hydras.Ackermann.cPair]
n:134 [in gaia_hydras.nfwfgaia]
n:1348 [in gaia_hydras.nfwfgaia]
n:135 [in additions.Euclidean_Chains]
n:135 [in hydras.Ackermann.codeList]
n:135 [in hydras.Gamma0.Gamma0]
n:1353 [in gaia_hydras.nfwfgaia]
n:1358 [in gaia_hydras.nfwfgaia]
n:136 [in additions.Euclidean_Chains]
n:136 [in hydras.Hydra.Hydra_Lemmas]
n:1363 [in gaia_hydras.nfwfgaia]
n:1368 [in gaia_hydras.nfwfgaia]
n:137 [in hydras.Epsilon0.Hprime]
n:1373 [in gaia_hydras.nfwfgaia]
n:1379 [in gaia_hydras.nfwfgaia]
n:138 [in hydras.Gamma0.T2]
n:138 [in hydras.Ackermann.codeList]
n:1382 [in hydras.Ackermann.codeSubFormula]
n:1385 [in hydras.Ackermann.codeSubFormula]
n:139 [in Goedel.PRrepresentable]
n:139 [in hydras.Epsilon0.Hprime]
n:1390 [in hydras.Ackermann.codeSubFormula]
n:1394 [in hydras.Ackermann.codeSubFormula]
n:14 [in hydras.Ackermann.folProof]
n:14 [in hydras.Gamma0.T2]
n:14 [in additions.Fib2]
n:14 [in hydras.Prelude.MoreLists]
n:14 [in hydras.MoreAck.AckNotPR]
n:14 [in hydras.Hydra.Hydra_Theorems]
n:14 [in hydras.solutions_exercises.MorePRExamples]
n:14 [in hydras.Ackermann.primRec]
n:14 [in additions.Naive]
n:14 [in additions.fib]
n:14 [in hydras.Ackermann.codeList]
n:140 [in hydras.Ackermann.codePA]
n:141 [in hydras.Ackermann.codeList]
n:1413 [in gaia_hydras.nfwfgaia]
n:142 [in hydras.Gamma0.T2]
n:142 [in hydras.Ackermann.cPair]
n:142 [in hydras.Epsilon0.Hprime]
n:143 [in hydras.Hydra.Hydra_Lemmas]
n:143 [in hydras.Gamma0.Gamma0]
n:1431 [in gaia_hydras.nfwfgaia]
n:144 [in hydras.Ackermann.codeList]
n:144 [in hydras.Epsilon0.Hprime]
n:145 [in hydras.Ackermann.cPair]
n:145 [in hydras.Hydra.Hydra_Lemmas]
n:1457 [in gaia_hydras.nfwfgaia]
n:146 [in hydras.Ackermann.codeList]
n:147 [in hydras.Epsilon0.T1]
n:1473 [in gaia_hydras.nfwfgaia]
n:1475 [in gaia_hydras.nfwfgaia]
n:1479 [in gaia_hydras.nfwfgaia]
n:148 [in hydras.Gamma0.T2]
n:148 [in hydras.Ackermann.codeList]
n:148 [in hydras.Hydra.Hydra_Lemmas]
n:1483 [in gaia_hydras.nfwfgaia]
n:1489 [in gaia_hydras.nfwfgaia]
n:149 [in hydras.Ackermann.cPair]
n:149 [in hydras.Gamma0.Gamma0]
n:1491 [in gaia_hydras.nfwfgaia]
n:1495 [in gaia_hydras.nfwfgaia]
n:15 [in additions.Fib2]
n:15 [in gaia_hydras.GHprime]
n:15 [in hydras.Ackermann.folLogic2]
n:15 [in hydras.Ackermann.LNN2LNT]
n:15 [in Goedel.fixPoint]
n:15 [in hydras.Ackermann.codeSubFormula]
n:15 [in hydras.Hydra.Hydra_Theorems]
n:15 [in hydras.Ackermann.PA]
n:15 [in hydras.solutions_exercises.MorePRExamples]
n:15 [in hydras.Ackermann.primRec]
n:15 [in hydras.Epsilon0.E0]
n:15 [in gaia_hydras.onType]
n:150 [in Goedel.PRrepresentable]
n:150 [in hydras.Ackermann.codeSubFormula]
n:150 [in hydras.Ackermann.codeList]
n:152 [in gaia_hydras.T1Bridge]
n:152 [in hydras.Ackermann.codeList]
n:152 [in hydras.Ackermann.codePA]
n:153 [in hydras.Epsilon0.Large_Sets]
n:153 [in hydras.Ackermann.cPair]
n:153 [in hydras.Hydra.Hydra_Lemmas]
n:1530 [in gaia_hydras.nfwfgaia]
n:1534 [in gaia_hydras.nfwfgaia]
n:154 [in gaia_hydras.T1Bridge]
n:154 [in hydras.Ackermann.codeList]
n:1547 [in gaia_hydras.nfwfgaia]
n:155 [in hydras.Ackermann.fol]
n:155 [in hydras.Gamma0.Gamma0]
n:155 [in hydras.Ackermann.codePA]
n:1554 [in gaia_hydras.nfwfgaia]
n:156 [in hydras.Ackermann.subAll]
n:156 [in hydras.Prelude.Iterates]
n:156 [in hydras.Epsilon0.Large_Sets]
n:156 [in hydras.Ackermann.codeList]
n:157 [in hydras.Ackermann.codeList]
n:1577 [in gaia_hydras.nfwfgaia]
n:158 [in hydras.Epsilon0.T1]
n:158 [in hydras.Ackermann.subAll]
n:158 [in hydras.Ackermann.LNT]
n:158 [in hydras.Ackermann.codeList]
n:1581 [in gaia_hydras.nfwfgaia]
n:159 [in hydras.Prelude.Iterates]
n:159 [in additions.fib]
n:159 [in hydras.Ackermann.codeList]
n:159 [in hydras.Gamma0.Gamma0]
n:1590 [in gaia_hydras.nfwfgaia]
n:16 [in hydras.Ackermann.folProof]
n:16 [in hydras.Schutte.Correctness_E0]
n:16 [in Goedel.PRrepresentable]
n:16 [in hydras.Prelude.More_Arith]
n:16 [in hydras.Ackermann.checkPrf]
n:16 [in hydras.Epsilon0.Hessenberg]
n:16 [in hydras.Ackermann.subProp]
n:16 [in hydras.Epsilon0.Large_Sets]
n:16 [in hydras.Schutte.AP]
n:16 [in hydras.solutions_exercises.MultisetWf]
N:16 [in hydras.Epsilon0.F_omega]
n:16 [in hydras.Hydra.Hydra_Termination]
n:16 [in hydras.Ackermann.wellFormed]
n:16 [in hydras.OrdinalNotations.ON_Finite]
n:16 [in additions.fib]
n:16 [in hydras.Ackermann.codeList]
n:16 [in Goedel.codeSysPrf]
n:16 [in hydras.Ackermann.codePA]
n:16 [in hydras.solutions_exercises.T1_ltNotWf]
n:160 [in hydras.Ackermann.subAll]
n:160 [in hydras.Ackermann.model]
n:160 [in hydras.Ackermann.codeList]
n:1604 [in gaia_hydras.nfwfgaia]
n:161 [in hydras.Epsilon0.T1]
n:161 [in additions.fib]
n:161 [in hydras.Ackermann.codeList]
n:1611 [in gaia_hydras.nfwfgaia]
n:162 [in hydras.Ackermann.subAll]
n:162 [in hydras.Prelude.MoreLists]
n:162 [in hydras.Ackermann.codeList]
n:163 [in hydras.Epsilon0.T1]
n:163 [in hydras.Epsilon0.F_alpha]
n:163 [in hydras.Ackermann.codeList]
n:163 [in hydras.Gamma0.Gamma0]
n:164 [in hydras.Ackermann.cPair]
n:164 [in hydras.Ackermann.codeList]
n:1653 [in gaia_hydras.nfwfgaia]
n:166 [in hydras.Ackermann.LNN]
n:166 [in hydras.Schutte.Schutte_basics]
n:167 [in hydras.Ackermann.subAll]
n:167 [in hydras.Schutte.Schutte_basics]
n:167 [in hydras.Ackermann.codeList]
n:167 [in hydras.Gamma0.Gamma0]
n:1677 [in gaia_hydras.nfwfgaia]
n:168 [in hydras.Epsilon0.T1]
n:168 [in hydras.Ackermann.subAll]
n:168 [in hydras.Epsilon0.F_alpha]
n:168 [in hydras.Ackermann.cPair]
n:168 [in hydras.Epsilon0.Paths]
n:168 [in gaia_hydras.nfwfgaia]
n:168 [in hydras.Ackermann.codePA]
n:1680 [in gaia_hydras.nfwfgaia]
n:1686 [in gaia_hydras.nfwfgaia]
n:17 [in hydras.Ackermann.subAll]
n:17 [in hydras.Prelude.More_Arith]
n:17 [in hydras.Ackermann.extEqualNat]
n:17 [in hydras.Hydra.O2H]
n:17 [in hydras.Ackermann.folLogic2]
n:17 [in hydras.MoreAck.AckNotPR]
n:17 [in hydras.Ackermann.codeSubFormula]
n:17 [in hydras.Ackermann.primRec]
n:17 [in hydras.Epsilon0.Canon]
n:17 [in hydras.Hydra.Hydra_Lemmas]
n:17 [in hydras.Prelude.MoreVectors]
n:170 [in hydras.Ackermann.subAll]
n:170 [in hydras.Ackermann.codeList]
n:171 [in hydras.Epsilon0.T1]
n:171 [in hydras.Epsilon0.F_alpha]
n:171 [in hydras.Gamma0.Gamma0]
n:171 [in gaia_hydras.nfwfgaia]
n:171 [in hydras.Ackermann.codePA]
n:1713 [in gaia_hydras.nfwfgaia]
n:1714 [in gaia_hydras.nfwfgaia]
n:172 [in hydras.Ackermann.subAll]
n:172 [in hydras.Ackermann.cPair]
n:173 [in hydras.Prelude.MoreLists]
n:173 [in hydras.Schutte.Schutte_basics]
n:173 [in hydras.Ackermann.codeList]
n:173 [in hydras.Epsilon0.Paths]
n:173 [in hydras.Gamma0.Gamma0]
n:174 [in hydras.Epsilon0.T1]
n:174 [in hydras.Ackermann.subAll]
n:174 [in hydras.Schutte.Schutte_basics]
n:175 [in gaia_hydras.T1Bridge]
n:176 [in hydras.Ackermann.subAll]
n:176 [in hydras.Prelude.MoreLists]
n:176 [in hydras.Ackermann.codeList]
n:177 [in hydras.Ackermann.model]
n:177 [in gaia_hydras.T1Bridge]
n:1775 [in gaia_hydras.nfwfgaia]
n:178 [in hydras.Gamma0.Gamma0]
n:1784 [in gaia_hydras.nfwfgaia]
n:1786 [in gaia_hydras.nfwfgaia]
n:179 [in hydras.Epsilon0.T1]
n:179 [in hydras.Ackermann.subAll]
n:179 [in hydras.Prelude.MoreLists]
n:179 [in additions.Euclidean_Chains]
n:179 [in hydras.Ackermann.codeList]
n:1794 [in gaia_hydras.nfwfgaia]
n:18 [in additions.Fib2]
n:18 [in additions.FirstSteps]
n:18 [in hydras.Prelude.Compat815]
n:18 [in Goedel.fixPoint]
n:18 [in hydras.Epsilon0.Large_Sets]
n:18 [in hydras.Schutte.AP]
n:18 [in hydras.Ackermann.NNtheory]
n:18 [in hydras.Ackermann.codeList]
n:18 [in hydras.solutions_exercises.F_3]
n:1801 [in gaia_hydras.nfwfgaia]
n:181 [in hydras.Gamma0.Gamma0]
n:182 [in hydras.Epsilon0.T1]
n:182 [in hydras.Ackermann.subAll]
n:182 [in hydras.Prelude.Iterates]
n:182 [in hydras.Ackermann.fol]
n:182 [in hydras.Ackermann.codeList]
n:1822 [in gaia_hydras.nfwfgaia]
n:1825 [in gaia_hydras.nfwfgaia]
n:1828 [in gaia_hydras.nfwfgaia]
n:183 [in gaia_hydras.T1Bridge]
n:183 [in hydras.Gamma0.Gamma0]
n:1831 [in gaia_hydras.nfwfgaia]
n:1834 [in gaia_hydras.nfwfgaia]
n:184 [in hydras.Ackermann.model]
n:184 [in hydras.Ackermann.wellFormed]
n:184 [in hydras.Ackermann.codeList]
n:1847 [in gaia_hydras.nfwfgaia]
n:1849 [in gaia_hydras.nfwfgaia]
n:185 [in hydras.Ackermann.subAll]
n:185 [in hydras.Epsilon0.F_alpha]
n:185 [in hydras.Gamma0.Gamma0]
n:185 [in gaia_hydras.nfwfgaia]
n:1851 [in gaia_hydras.nfwfgaia]
n:1853 [in gaia_hydras.nfwfgaia]
n:1854 [in gaia_hydras.nfwfgaia]
n:186 [in gaia_hydras.T1Bridge]
n:186 [in hydras.Ackermann.codeList]
n:1862 [in gaia_hydras.nfwfgaia]
n:1864 [in gaia_hydras.nfwfgaia]
n:1868 [in gaia_hydras.nfwfgaia]
n:187 [in hydras.Epsilon0.T1]
n:187 [in hydras.Gamma0.Gamma0]
n:187 [in gaia_hydras.nfwfgaia]
n:1874 [in gaia_hydras.nfwfgaia]
n:188 [in hydras.Ackermann.cPair]
n:188 [in hydras.Ackermann.fol]
n:188 [in hydras.Ackermann.codeList]
n:1880 [in gaia_hydras.nfwfgaia]
n:1883 [in gaia_hydras.nfwfgaia]
n:189 [in gaia_hydras.T1Bridge]
n:189 [in additions.Euclidean_Chains]
n:189 [in hydras.Gamma0.Gamma0]
n:189 [in gaia_hydras.nfwfgaia]
n:1893 [in gaia_hydras.nfwfgaia]
n:1897 [in gaia_hydras.nfwfgaia]
n:19 [in hydras.Schutte.Correctness_E0]
n:19 [in additions.Fib2]
n:19 [in hydras.Prelude.More_Arith]
n:19 [in hydras.Prelude.Iterates]
n:19 [in hydras.Ackermann.folLogic2]
n:19 [in additions.More_on_positive]
n:19 [in hydras.Ackermann.codeSubFormula]
n:19 [in hydras.Epsilon0.F_omega]
n:19 [in gaia_hydras.ON_gfinite]
n:19 [in hydras.Epsilon0.Canon]
n:19 [in hydras.Ackermann.NNtheory]
n:19 [in hydras.Gamma0.Gamma0]
n:19 [in hydras.Ackermann.codePA]
n:19 [in hydras.Prelude.MoreVectors]
n:190 [in hydras.Ackermann.codeList]
n:1901 [in gaia_hydras.nfwfgaia]
n:1906 [in gaia_hydras.nfwfgaia]
n:1910 [in gaia_hydras.nfwfgaia]
n:1915 [in gaia_hydras.nfwfgaia]
n:1919 [in gaia_hydras.nfwfgaia]
n:192 [in hydras.Ackermann.codeList]
n:1925 [in gaia_hydras.nfwfgaia]
n:193 [in gaia_hydras.nfwfgaia]
n:1931 [in gaia_hydras.nfwfgaia]
n:1936 [in gaia_hydras.nfwfgaia]
n:194 [in hydras.Ackermann.wellFormed]
n:194 [in hydras.Ackermann.codeList]
n:1941 [in gaia_hydras.nfwfgaia]
n:1946 [in gaia_hydras.nfwfgaia]
n:195 [in hydras.Ackermann.codeList]
n:195 [in additions.Addition_Chains]
n:1951 [in gaia_hydras.nfwfgaia]
n:1957 [in gaia_hydras.nfwfgaia]
n:196 [in hydras.Ackermann.codeList]
n:1964 [in gaia_hydras.nfwfgaia]
n:1969 [in gaia_hydras.nfwfgaia]
n:197 [in hydras.Ackermann.wellFormed]
n:197 [in gaia_hydras.nfwfgaia]
n:1975 [in gaia_hydras.nfwfgaia]
n:198 [in hydras.Epsilon0.T1]
n:198 [in hydras.Ackermann.codeList]
n:1981 [in gaia_hydras.nfwfgaia]
n:1986 [in gaia_hydras.nfwfgaia]
n:1992 [in gaia_hydras.nfwfgaia]
n:1997 [in gaia_hydras.nfwfgaia]
n:2 [in hydras.Ackermann.folProof]
n:2 [in hydras.Prelude.MoreLists]
n:2 [in hydras.MoreAck.expressibleExamples]
n:2 [in additions.Compatibility]
n:2 [in hydras.Prelude.Compat815]
n:2 [in hydras.Prelude.First_toggle]
n:2 [in hydras.Ackermann.LNN2LNT]
n:2 [in hydras.MoreAck.Iterate_compat]
n:2 [in hydras.MoreAck.Ack]
n:2 [in hydras.solutions_exercises.MorePRExamples]
n:2 [in additions.Naive]
n:2 [in gaia_hydras.nfwfgaia]
n:2 [in additions.Demo]
n:2 [in hydras.Prelude.MoreVectors]
n:20 [in Goedel.PRrepresentable]
n:20 [in additions.Fib2]
n:20 [in hydras.Prelude.Compat815]
n:20 [in hydras.Ackermann.LNN2LNT]
n:20 [in gaia_hydras.GCanon]
n:20 [in hydras.Schutte.GRelations]
n:20 [in hydras.Epsilon0.Large_Sets]
n:20 [in hydras.Prelude.Fuel]
n:20 [in hydras.Ackermann.codeList]
n:20 [in hydras.Schutte.Countable]
n:20 [in hydras.Ackermann.expressible]
n:200 [in hydras.Epsilon0.T1]
n:200 [in hydras.Ackermann.wellFormed]
n:200 [in hydras.Ackermann.codeList]
n:2003 [in gaia_hydras.nfwfgaia]
n:201 [in hydras.Epsilon0.T1]
n:201 [in hydras.Epsilon0.Large_Sets]
n:2019 [in gaia_hydras.nfwfgaia]
n:202 [in hydras.Ackermann.codeList]
n:2024 [in gaia_hydras.nfwfgaia]
n:2028 [in gaia_hydras.nfwfgaia]
n:203 [in hydras.Ackermann.model]
n:203 [in hydras.Epsilon0.Large_Sets]
n:203 [in hydras.Ackermann.cPair]
n:203 [in gaia_hydras.nfwfgaia]
n:204 [in hydras.Epsilon0.T1]
n:204 [in hydras.Ackermann.codeList]
n:205 [in additions.Euclidean_Chains]
n:205 [in gaia_hydras.nfwfgaia]
n:206 [in hydras.Epsilon0.T1]
n:206 [in hydras.Epsilon0.Large_Sets]
n:206 [in hydras.Ackermann.codeList]
n:207 [in hydras.Ackermann.cPair]
n:208 [in hydras.Epsilon0.Large_Sets]
n:208 [in hydras.Ackermann.codeList]
n:209 [in hydras.Epsilon0.Large_Sets]
n:209 [in hydras.Ackermann.codeList]
n:209 [in additions.Addition_Chains]
n:21 [in Goedel.fixPoint]
N:21 [in hydras.MoreAck.AckNotPR]
n:21 [in hydras.Ackermann.codeSubFormula]
n:21 [in hydras.solutions_exercises.MultisetWf]
n:21 [in hydras.Ackermann.code]
n:21 [in hydras.Ackermann.primRec]
n:21 [in gaia_hydras.ON_gfinite]
n:21 [in hydras.OrdinalNotations.ON_Finite]
n:21 [in hydras.Schutte.Countable]
n:210 [in hydras.Ackermann.subAll]
n:210 [in hydras.Ackermann.model]
n:210 [in hydras.Epsilon0.Large_Sets]
n:210 [in hydras.Ackermann.cPair]
n:211 [in hydras.Ackermann.subAll]
n:211 [in hydras.Prelude.MoreLists]
n:211 [in additions.Addition_Chains]
n:211 [in hydras.Epsilon0.Paths]
n:212 [in hydras.rpo.term]
n:212 [in hydras.Epsilon0.Large_Sets]
n:212 [in hydras.Ackermann.cPair]
n:212 [in additions.Euclidean_Chains]
n:212 [in hydras.Ackermann.codeList]
n:213 [in hydras.Prelude.MoreLists]
n:214 [in hydras.Epsilon0.Large_Sets]
n:214 [in hydras.Ackermann.cPair]
n:215 [in hydras.Ackermann.subAll]
n:216 [in hydras.Epsilon0.T1]
n:216 [in hydras.Ackermann.subAll]
n:216 [in hydras.Epsilon0.Large_Sets]
n:217 [in hydras.Prelude.MoreLists]
n:217 [in hydras.Ackermann.codeList]
n:218 [in hydras.Epsilon0.Paths]
n:219 [in additions.Euclidean_Chains]
n:219 [in hydras.Gamma0.Gamma0]
n:219 [in gaia_hydras.nfwfgaia]
n:22 [in hydras.Ackermann.subAll]
n:22 [in hydras.Ackermann.codeFreeVar]
n:22 [in hydras.Hydra.O2H]
n:22 [in hydras.Prelude.Compat815]
n:22 [in hydras.Ackermann.LNN2LNT]
n:22 [in additions.Pow_variant]
n:22 [in additions.Pow]
n:22 [in hydras.Epsilon0.Hessenberg]
n:22 [in additions.More_on_positive]
n:22 [in hydras.MoreAck.Ack]
n:22 [in hydras.solutions_exercises.FibonacciPR]
n:22 [in hydras.Epsilon0.Canon]
n:22 [in hydras.OrdinalNotations.ON_Finite]
n:22 [in hydras.Ackermann.codeList]
n:22 [in hydras.MoreAck.PrimRecExamples]
n:220 [in hydras.Epsilon0.T1]
n:220 [in hydras.Ackermann.subAll]
n:220 [in hydras.Prelude.MoreLists]
n:220 [in hydras.Ackermann.codeList]
n:221 [in hydras.Ackermann.subAll]
n:222 [in gaia_hydras.nfwfgaia]
n:224 [in hydras.Epsilon0.Paths]
n:225 [in hydras.Ackermann.subAll]
n:225 [in hydras.Ackermann.codeList]
n:225 [in hydras.Gamma0.Gamma0]
n:226 [in hydras.Epsilon0.T1]
n:227 [in additions.AM]
n:228 [in hydras.Ackermann.codeList]
n:228 [in gaia_hydras.nfwfgaia]
n:229 [in hydras.Epsilon0.Paths]
n:229 [in hydras.Gamma0.Gamma0]
n:23 [in hydras.Schutte.Correctness_E0]
n:23 [in hydras.Prelude.Iterates]
n:23 [in gaia_hydras.GF_alpha]
n:23 [in hydras.Epsilon0.Epsilon0rpo]
n:23 [in additions.More_on_positive]
n:23 [in hydras.Schutte.GRelations]
n:23 [in hydras.Ackermann.codeSubFormula]
n:23 [in hydras.Epsilon0.Large_Sets]
n:23 [in hydras.Prelude.Fuel]
n:23 [in hydras.solutions_exercises.FibonacciPR]
n:23 [in gaia_hydras.ON_gfinite]
n:23 [in hydras.OrdinalNotations.ON_Finite]
n:23 [in hydras.Epsilon0.E0]
n:23 [in hydras.solutions_exercises.F_3]
n:230 [in hydras.Ackermann.subAll]
n:230 [in hydras.Prelude.Iterates]
n:230 [in additions.Addition_Chains]
n:231 [in hydras.Epsilon0.T1]
n:231 [in hydras.Ackermann.codeList]
n:232 [in hydras.Prelude.Iterates]
n:232 [in hydras.Epsilon0.Paths]
n:232 [in hydras.Ackermann.codePA]
n:233 [in hydras.Gamma0.Gamma0]
n:233 [in hydras.Ackermann.codePA]
n:234 [in hydras.Ackermann.codeList]
n:235 [in hydras.Epsilon0.T1]
n:235 [in hydras.Prelude.Iterates]
n:236 [in additions.AM]
n:237 [in hydras.Ackermann.codeList]
n:238 [in hydras.Epsilon0.T1]
n:238 [in hydras.Epsilon0.Paths]
n:238 [in gaia_hydras.nfwfgaia]
n:239 [in hydras.Prelude.Iterates]
n:24 [in Goedel.PRrepresentable]
n:24 [in hydras.Ackermann.extEqualNat]
n:24 [in gaia_hydras.GF_alpha]
n:24 [in hydras.Prelude.Compat815]
n:24 [in hydras.Ackermann.LNN2LNT]
n:24 [in hydras.MoreAck.AckNotPR]
n:24 [in hydras.Prelude.Fuel]
n:24 [in hydras.MoreAck.Ack]
n:24 [in hydras.OrdinalNotations.ON_Finite]
n:24 [in hydras.Ackermann.codeList]
n:24 [in hydras.Ackermann.folLogic3]
n:24 [in hydras.Ackermann.Languages]
n:24 [in hydras.Ackermann.expressible]
n:24 [in hydras.Prelude.MoreVectors]
n:240 [in hydras.Ackermann.codeList]
n:242 [in hydras.Prelude.Iterates]
n:243 [in additions.AM]
n:243 [in hydras.Ackermann.codeList]
n:245 [in hydras.Ackermann.cPair]
n:246 [in hydras.Prelude.Iterates]
n:246 [in hydras.Ackermann.codeList]
n:249 [in hydras.Epsilon0.T1]
n:249 [in hydras.Ackermann.codeList]
n:25 [in additions.Fib2]
n:25 [in additions.Compatibility]
n:25 [in additions.More_on_positive]
n:25 [in hydras.Schutte.GRelations]
n:25 [in hydras.Ackermann.codeSubFormula]
n:25 [in hydras.solutions_exercises.MultisetWf]
n:25 [in hydras.Hydra.Epsilon0_Needed_Std]
n:25 [in hydras.Epsilon0.Canon]
n:25 [in hydras.OrdinalNotations.ON_Finite]
n:25 [in gaia_hydras.onType]
n:25 [in hydras.solutions_exercises.F_3]
n:25 [in hydras.Gamma0.Gamma0]
n:250 [in hydras.Ackermann.subAll]
n:250 [in hydras.Prelude.Iterates]
n:251 [in hydras.Epsilon0.T1]
n:252 [in hydras.Ackermann.codeList]
n:254 [in hydras.Epsilon0.T1]
n:254 [in hydras.Ackermann.subAll]
n:254 [in gaia_hydras.nfwfgaia]
n:255 [in hydras.Ackermann.codeList]
n:256 [in gaia_hydras.nfwfgaia]
n:258 [in hydras.Epsilon0.T1]
n:258 [in hydras.Ackermann.codeList]
n:258 [in hydras.rpo.rpo]
n:26 [in hydras.Gamma0.T2]
n:26 [in hydras.Prelude.Iterates]
n:26 [in hydras.Ackermann.extEqualNat]
n:26 [in hydras.Hydra.O2H]
n:26 [in hydras.Epsilon0.Epsilon0rpo]
n:26 [in hydras.Prelude.Compat815]
n:26 [in hydras.Ackermann.codeSubTerm]
n:26 [in hydras.solutions_exercises.MultisetWf]
n:26 [in hydras.Prelude.Fuel]
n:26 [in hydras.Hydra.Hydra_Termination]
n:26 [in hydras.Ackermann.codeList]
n:26 [in hydras.MoreAck.FolExamples]
n:261 [in hydras.Epsilon0.T1]
n:261 [in hydras.Ackermann.codeList]
n:261 [in gaia_hydras.nfwfgaia]
n:263 [in hydras.Ackermann.codeList]
n:264 [in hydras.Epsilon0.T1]
n:264 [in hydras.Gamma0.Gamma0]
n:264 [in gaia_hydras.nfwfgaia]
n:265 [in hydras.Ackermann.codeList]
n:266 [in gaia_hydras.nfwfgaia]
n:267 [in hydras.Ackermann.codeList]
n:267 [in hydras.Gamma0.Gamma0]
n:268 [in hydras.Epsilon0.T1]
n:268 [in gaia_hydras.nfwfgaia]
n:269 [in hydras.Ackermann.codeList]
n:27 [in hydras.Ackermann.subAll]
n:27 [in additions.Compatibility]
n:27 [in hydras.MoreAck.AckNotPR]
n:27 [in hydras.Ackermann.codeSubFormula]
n:27 [in hydras.MoreAck.Ack]
n:27 [in hydras.Hydra.Epsilon0_Needed_Std]
n:27 [in hydras.Ackermann.wellFormed]
n:27 [in gaia_hydras.nfwfgaia]
n:270 [in hydras.Epsilon0.Paths]
n:271 [in hydras.Ackermann.codeList]
n:271 [in hydras.Gamma0.Gamma0]
n:272 [in hydras.Epsilon0.Paths]
n:273 [in hydras.Ackermann.codeList]
n:274 [in hydras.Ackermann.codeList]
n:275 [in hydras.Ackermann.codeList]
n:275 [in hydras.Epsilon0.Paths]
n:277 [in hydras.Ackermann.codeList]
n:278 [in hydras.Epsilon0.T1]
n:278 [in Goedel.PRrepresentable]
n:278 [in hydras.Epsilon0.Paths]
n:279 [in hydras.Epsilon0.T1]
n:279 [in hydras.Ackermann.codeList]
n:279 [in additions.Addition_Chains]
n:28 [in hydras.Schutte.Correctness_E0]
n:28 [in hydras.Prelude.Iterates]
n:28 [in hydras.Prelude.Compat815]
n:28 [in hydras.Ackermann.codeSubTerm]
n:28 [in hydras.Epsilon0.Hessenberg]
n:28 [in gaia_hydras.GCanon]
n:28 [in hydras.Schutte.AP]
n:28 [in hydras.Prelude.Fuel]
n:28 [in hydras.Ackermann.codeList]
n:28 [in hydras.solutions_exercises.F_3]
n:28 [in hydras.Hydra.Hydra_Lemmas]
n:28 [in hydras.MoreAck.PrimRecExamples]
n:28 [in hydras.Ackermann.expressible]
n:28 [in hydras.Prelude.MoreVectors]
n:281 [in hydras.Epsilon0.T1]
n:281 [in Goedel.PRrepresentable]
n:281 [in hydras.Ackermann.codeList]
n:282 [in hydras.Ackermann.cPair]
n:282 [in additions.Addition_Chains]
n:283 [in hydras.Epsilon0.T1]
n:283 [in hydras.Ackermann.codeList]
n:284 [in Goedel.PRrepresentable]
n:284 [in hydras.Ackermann.cPair]
n:285 [in hydras.Ackermann.codeList]
n:285 [in hydras.Gamma0.Gamma0]
n:286 [in hydras.Ackermann.cPair]
n:287 [in hydras.Ackermann.codeList]
n:288 [in hydras.Ackermann.cPair]
n:288 [in hydras.Ackermann.codeList]
n:289 [in hydras.Ackermann.codeList]
n:289 [in hydras.Epsilon0.Paths]
n:289 [in hydras.Gamma0.Gamma0]
n:29 [in hydras.Ackermann.extEqualNat]
n:29 [in gaia_hydras.GF_alpha]
n:29 [in additions.Compatibility]
n:29 [in hydras.Ackermann.LNN2LNT]
n:29 [in hydras.Ackermann.subProp]
n:29 [in hydras.Schutte.GRelations]
n:29 [in hydras.Ackermann.codeSubFormula]
n:29 [in hydras.Schutte.AP]
n:29 [in hydras.Prelude.Fuel]
n:29 [in hydras.Ackermann.code]
n:29 [in hydras.Hydra.Hydra_Termination]
n:29 [in additions.Euclidean_Chains]
n:29 [in hydras.Ackermann.wellFormed]
n:29 [in Goedel.rosser]
n:290 [in Goedel.PRrepresentable]
n:290 [in hydras.Ackermann.cPair]
n:290 [in hydras.Ackermann.codeList]
n:290 [in gaia_hydras.nfwfgaia]
n:291 [in hydras.Ackermann.codeList]
n:292 [in hydras.Ackermann.cPair]
n:292 [in hydras.Ackermann.codeList]
n:292 [in hydras.Epsilon0.Paths]
n:292 [in gaia_hydras.nfwfgaia]
n:293 [in hydras.Ackermann.codeList]
n:293 [in hydras.Gamma0.Gamma0]
n:294 [in hydras.Ackermann.subAll]
n:294 [in hydras.Ackermann.cPair]
n:294 [in hydras.Ackermann.codeList]
n:295 [in hydras.Epsilon0.Paths]
n:296 [in Goedel.PRrepresentable]
n:296 [in hydras.Ackermann.cPair]
n:297 [in hydras.Gamma0.Gamma0]
n:298 [in hydras.Ackermann.cPair]
n:3 [in hydras.Ackermann.subAll]
n:3 [in hydras.Prelude.Iterates]
n:3 [in hydras.MoreAck.expressibleExamples]
n:3 [in hydras.Ackermann.model]
n:3 [in Goedel.fixPoint]
n:3 [in hydras.Ackermann.folProp]
n:3 [in additions.More_on_positive]
n:3 [in hydras.Epsilon0.F_omega]
n:3 [in hydras.OrdinalNotations.ON_Finite]
n:3 [in hydras.solutions_exercises.F_3]
n:3 [in hydras.Gamma0.Gamma0]
n:3 [in hydras.Schutte.Addition]
n:3 [in gaia_hydras.GHessenberg]
n:30 [in hydras.Prelude.Compat815]
n:30 [in hydras.MoreAck.AckNotPR]
n:30 [in hydras.Ackermann.codeList]
n:30 [in gaia_hydras.nfwfgaia]
n:30 [in hydras.Ackermann.Languages]
n:30 [in hydras.Prelude.MoreVectors]
n:300 [in hydras.Ackermann.cPair]
n:302 [in Goedel.PRrepresentable]
n:302 [in hydras.Ackermann.cPair]
n:303 [in Goedel.PRrepresentable]
n:303 [in hydras.Epsilon0.Paths]
n:304 [in Goedel.PRrepresentable]
n:304 [in hydras.Ackermann.cPair]
n:304 [in hydras.Gamma0.Gamma0]
n:305 [in Goedel.PRrepresentable]
n:306 [in hydras.Ackermann.cPair]
n:306 [in hydras.Epsilon0.Paths]
n:308 [in hydras.Ackermann.cPair]
n:308 [in hydras.Gamma0.Gamma0]
n:31 [in hydras.Epsilon0.T1]
n:31 [in hydras.Hydra.O2H]
n:31 [in gaia_hydras.GF_alpha]
n:31 [in additions.Compatibility]
n:31 [in hydras.Ackermann.codeSubFormula]
n:31 [in hydras.Ackermann.primRec]
n:31 [in additions.Naive]
n:31 [in hydras.Ackermann.wellFormed]
n:31 [in Goedel.rosser]
n:31 [in hydras.Gamma0.Gamma0]
n:31 [in gaia_hydras.nfwfgaia]
n:310 [in hydras.Ackermann.cPair]
n:312 [in hydras.Ackermann.cPair]
n:312 [in hydras.Epsilon0.Paths]
n:314 [in hydras.Ackermann.subAll]
n:314 [in hydras.Ackermann.cPair]
n:316 [in hydras.Ackermann.cPair]
n:318 [in hydras.Ackermann.cPair]
n:319 [in hydras.Epsilon0.T1]
n:32 [in hydras.rpo.term]
n:32 [in hydras.Prelude.Compat815]
n:32 [in hydras.Ackermann.code]
n:32 [in hydras.MoreAck.Ack]
n:32 [in hydras.Ackermann.fol]
n:32 [in hydras.Ackermann.codeList]
n:32 [in hydras.Hydra.Hydra_Lemmas]
n:32 [in gaia_hydras.nfwfgaia]
n:320 [in hydras.Ackermann.cPair]
n:320 [in hydras.Epsilon0.Paths]
n:321 [in gaia_hydras.nfwfgaia]
n:322 [in hydras.Ackermann.cPair]
n:322 [in hydras.Epsilon0.Paths]
n:323 [in hydras.Epsilon0.T1]
n:323 [in gaia_hydras.nfwfgaia]
n:324 [in hydras.Ackermann.cPair]
n:325 [in Goedel.PRrepresentable]
n:325 [in gaia_hydras.nfwfgaia]
n:326 [in hydras.Ackermann.cPair]
n:326 [in hydras.Epsilon0.Paths]
n:326 [in gaia_hydras.nfwfgaia]
n:327 [in hydras.Ackermann.cPair]
n:328 [in hydras.Epsilon0.T1]
n:328 [in hydras.Ackermann.cPair]
n:328 [in hydras.Epsilon0.Paths]
n:329 [in hydras.Ackermann.cPair]
n:33 [in additions.Compatibility]
n:33 [in additions.FirstSteps]
n:33 [in hydras.Prelude.Compat815]
n:33 [in hydras.Epsilon0.Hessenberg]
n:33 [in hydras.Ackermann.codeSubFormula]
n:33 [in hydras.Hydra.Hydra_Termination]
n:33 [in additions.Euclidean_Chains]
n:33 [in hydras.Ackermann.codeList]
n:330 [in Goedel.PRrepresentable]
n:330 [in hydras.Ackermann.cPair]
n:331 [in hydras.Ackermann.cPair]
n:332 [in hydras.Ackermann.cPair]
n:333 [in hydras.Epsilon0.T1]
n:333 [in hydras.Ackermann.cPair]
n:333 [in additions.Euclidean_Chains]
n:334 [in hydras.Ackermann.cPair]
n:335 [in Goedel.PRrepresentable]
n:336 [in hydras.Ackermann.cPair]
n:34 [in hydras.Prelude.Iterates]
n:34 [in hydras.Prelude.Compat815]
n:34 [in gaia_hydras.GCanon]
n:34 [in hydras.MoreAck.AckNotPR]
n:34 [in hydras.Ackermann.subProp]
n:34 [in hydras.Schutte.AP]
n:34 [in hydras.Ackermann.fol]
n:34 [in hydras.Ackermann.codeList]
n:342 [in hydras.Epsilon0.Paths]
n:343 [in hydras.Ackermann.cPair]
n:344 [in hydras.Ackermann.cPair]
n:345 [in hydras.Epsilon0.T1]
n:345 [in hydras.Ackermann.cPair]
n:346 [in hydras.Epsilon0.Paths]
n:35 [in hydras.Ackermann.codeSubFormula]
n:35 [in hydras.Ackermann.code]
n:35 [in hydras.Ackermann.codeList]
n:35 [in Goedel.rosser]
n:35 [in hydras.Ackermann.Languages]
n:350 [in hydras.Epsilon0.T1]
n:350 [in hydras.Epsilon0.Paths]
n:353 [in hydras.Epsilon0.T1]
n:354 [in hydras.Epsilon0.Paths]
n:355 [in hydras.Epsilon0.Paths]
n:356 [in hydras.Epsilon0.T1]
n:359 [in hydras.Epsilon0.Paths]
n:36 [in hydras.Ackermann.codeSubTerm]
n:36 [in hydras.Ackermann.LNN2LNT]
n:36 [in hydras.Ackermann.codeList]
n:36 [in hydras.Ackermann.expressible]
n:363 [in hydras.Epsilon0.T1]
n:363 [in gaia_hydras.nfwfgaia]
n:364 [in hydras.Ackermann.subAll]
n:367 [in hydras.Ackermann.subAll]
n:37 [in hydras.Prelude.Iterates]
n:37 [in additions.Compatibility]
n:37 [in hydras.Ackermann.codeSubFormula]
n:37 [in hydras.Schutte.AP]
n:37 [in hydras.Ackermann.fol]
n:37 [in hydras.Epsilon0.Canon]
n:37 [in hydras.Ackermann.codeList]
n:37 [in hydras.Hydra.Hydra_Definitions]
n:37 [in hydras.Prelude.MoreVectors]
n:370 [in Goedel.PRrepresentable]
n:371 [in Goedel.PRrepresentable]
n:376 [in hydras.Ackermann.subAll]
n:377 [in hydras.Epsilon0.T1]
n:379 [in hydras.Ackermann.subAll]
n:38 [in additions.FirstSteps]
n:38 [in hydras.Ackermann.LNN2LNT]
n:38 [in gaia_hydras.GCanon]
n:38 [in hydras.Ackermann.codeSubFormula]
n:38 [in hydras.Epsilon0.F_omega]
n:38 [in hydras.Ackermann.codeList]
n:38 [in hydras.Ackermann.folLogic3]
n:38 [in hydras.Ackermann.Languages]
n:382 [in hydras.Epsilon0.T1]
n:384 [in gaia_hydras.nfwfgaia]
n:386 [in hydras.Epsilon0.T1]
n:386 [in gaia_hydras.nfwfgaia]
n:387 [in hydras.Epsilon0.Paths]
n:388 [in gaia_hydras.nfwfgaia]
n:39 [in hydras.Prelude.More_Arith]
n:39 [in hydras.Epsilon0.Hessenberg]
n:39 [in hydras.Ackermann.subProp]
n:39 [in hydras.Ackermann.codeSubFormula]
n:39 [in gaia_hydras.T1Bridge]
n:39 [in additions.Naive]
n:39 [in hydras.Epsilon0.Canon]
n:39 [in additions.fib]
n:39 [in hydras.Ackermann.codeList]
n:39 [in hydras.Ackermann.folLogic3]
n:39 [in hydras.Ackermann.expressible]
n:391 [in hydras.Epsilon0.T1]
n:392 [in hydras.Epsilon0.Paths]
n:394 [in hydras.Epsilon0.T1]
n:394 [in hydras.Epsilon0.Paths]
n:394 [in gaia_hydras.nfwfgaia]
n:397 [in hydras.Epsilon0.Paths]
n:399 [in hydras.Epsilon0.T1]
n:4 [in hydras.Epsilon0.T1]
n:4 [in hydras.Schutte.Correctness_E0]
n:4 [in hydras.Prelude.More_Arith]
n:4 [in hydras.Ackermann.extEqualNat]
n:4 [in gaia_hydras.GF_alpha]
n:4 [in hydras.MoreAck.expressibleExamples]
n:4 [in additions.Compatibility]
n:4 [in hydras.Prelude.Compat815]
n:4 [in hydras.Prelude.First_toggle]
n:4 [in gaia_hydras.GPaths]
n:4 [in hydras.Ackermann.PAtheory]
n:4 [in hydras.Prelude.Fuel]
n:4 [in hydras.Ackermann.cPair]
n:4 [in gaia_hydras.ON_gfinite]
n:4 [in additions.Monoid_instances]
n:4 [in additions.fib]
n:4 [in hydras.Ackermann.codeList]
n:4 [in hydras.Prelude.LibHyps_Experiments]
n:4 [in hydras.solutions_exercises.F_3]
n:4 [in hydras.Ackermann.codeNatToTerm]
n:4 [in gaia_hydras.nfwfgaia]
n:4 [in hydras.Ackermann.expressible]
n:40 [in hydras.Prelude.Iterates]
n:40 [in hydras.Epsilon0.Epsilon0rpo]
n:40 [in hydras.Ackermann.LNN2LNT]
n:40 [in hydras.Ackermann.model]
n:40 [in hydras.MoreAck.AckNotPR]
n:40 [in hydras.Ackermann.codeSubFormula]
n:40 [in hydras.Prelude.Fuel]
n:40 [in hydras.Ackermann.fol]
n:40 [in hydras.Ackermann.codeList]
n:40 [in hydras.Ackermann.folLogic3]
n:40 [in Goedel.rosser]
n:40 [in hydras.Ackermann.Languages]
n:41 [in hydras.Prelude.More_Arith]
n:41 [in hydras.Ackermann.codeSubFormula]
n:41 [in additions.Naive]
n:41 [in hydras.Ackermann.wellFormed]
n:41 [in gaia_hydras.onType]
n:41 [in hydras.Ackermann.folLogic3]
n:41 [in hydras.rpo.list_permut]
n:41 [in gaia_hydras.nfwfgaia]
n:41 [in hydras.MoreAck.PrimRecExamples]
n:416 [in hydras.Epsilon0.T1]
n:419 [in hydras.Ackermann.folProp]
n:42 [in gaia_hydras.GCanon]
n:42 [in hydras.Epsilon0.Large_Sets]
n:42 [in hydras.solutions_exercises.MultisetWf]
n:42 [in hydras.Ackermann.primRec]
n:42 [in hydras.Hydra.Hydra_Termination]
n:42 [in hydras.rpo.list_permut]
n:42 [in hydras.Hydra.Hydra_Definitions]
n:42 [in hydras.Prelude.MoreVectors]
n:421 [in hydras.Ackermann.folProp]
n:423 [in hydras.Ackermann.folProp]
n:423 [in gaia_hydras.nfwfgaia]
n:426 [in hydras.Epsilon0.T1]
n:427 [in gaia_hydras.nfwfgaia]
n:43 [in hydras.Ackermann.subAll]
n:43 [in additions.Compatibility]
n:43 [in hydras.Epsilon0.Epsilon0rpo]
n:43 [in hydras.Ackermann.codeSubFormula]
n:43 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
n:43 [in hydras.Prelude.Fuel]
n:43 [in hydras.Epsilon0.Canon]
n:43 [in hydras.Epsilon0.E0]
n:43 [in gaia_hydras.nfwfgaia]
n:43 [in hydras.MoreAck.PrimRecExamples]
n:43 [in hydras.Ackermann.expressible]
n:431 [in hydras.Ackermann.fol]
n:431 [in hydras.Gamma0.Gamma0]
n:432 [in hydras.Epsilon0.T1]
n:433 [in hydras.Ackermann.fol]
n:433 [in hydras.Gamma0.Gamma0]
n:436 [in hydras.Ackermann.primRec]
n:437 [in hydras.Epsilon0.T1]
n:44 [in hydras.Prelude.More_Arith]
n:44 [in hydras.Hydra.O2H]
n:44 [in additions.FirstSteps]
n:44 [in hydras.MoreAck.AckNotPR]
n:44 [in hydras.Prelude.Fuel]
n:44 [in additions.fib]
n:44 [in hydras.MoreAck.PrimRecExamples]
n:440 [in gaia_hydras.nfwfgaia]
n:444 [in Goedel.PRrepresentable]
n:444 [in hydras.Ackermann.primRec]
n:445 [in hydras.Ackermann.primRec]
n:446 [in Goedel.PRrepresentable]
n:45 [in hydras.Schutte.Correctness_E0]
n:45 [in additions.FirstSteps]
n:45 [in hydras.Epsilon0.F_alpha]
n:45 [in hydras.Ackermann.codeSubFormula]
n:45 [in hydras.solutions_exercises.MultisetWf]
n:45 [in hydras.Ackermann.codeList]
n:452 [in hydras.Ackermann.primRec]
n:454 [in hydras.Epsilon0.T1]
n:455 [in Goedel.PRrepresentable]
n:457 [in Goedel.PRrepresentable]
n:457 [in hydras.Ackermann.primRec]
n:458 [in hydras.Ackermann.primRec]
n:46 [in hydras.Epsilon0.Epsilon0rpo]
n:46 [in hydras.Prelude.Fuel]
n:46 [in hydras.OrdinalNotations.OmegaOmega]
n:46 [in hydras.Ackermann.wellFormed]
n:46 [in hydras.Hydra.Hydra_Lemmas]
n:465 [in Goedel.PRrepresentable]
n:465 [in hydras.Ackermann.primRec]
n:47 [in hydras.Schutte.Correctness_E0]
n:47 [in additions.FirstSteps]
n:47 [in gaia_hydras.GCanon]
n:47 [in hydras.Ackermann.codeSubFormula]
n:47 [in hydras.Ackermann.folLogic3]
n:47 [in hydras.Ackermann.expressible]
n:470 [in hydras.Ackermann.primRec]
n:470 [in additions.Euclidean_Chains]
n:470 [in hydras.Gamma0.Gamma0]
n:472 [in hydras.Epsilon0.Paths]
n:473 [in Goedel.PRrepresentable]
n:474 [in hydras.Ackermann.primRec]
n:474 [in additions.Euclidean_Chains]
n:476 [in additions.Euclidean_Chains]
n:476 [in hydras.Gamma0.Gamma0]
n:477 [in gaia_hydras.nfwfgaia]
n:478 [in hydras.Ackermann.primRec]
n:478 [in additions.Euclidean_Chains]
n:479 [in hydras.Ackermann.primRec]
n:479 [in hydras.Gamma0.Gamma0]
n:48 [in hydras.Prelude.Iterates]
n:48 [in hydras.MoreAck.AckNotPR]
n:48 [in hydras.Prelude.Fuel]
n:48 [in hydras.OrdinalNotations.OmegaOmega]
n:48 [in hydras.Ackermann.codeList]
n:48 [in hydras.Ackermann.folLogic3]
n:48 [in gaia_hydras.nfwfgaia]
n:480 [in gaia_hydras.nfwfgaia]
n:483 [in gaia_hydras.nfwfgaia]
n:486 [in hydras.Ackermann.primRec]
n:486 [in gaia_hydras.nfwfgaia]
n:488 [in hydras.Gamma0.Gamma0]
n:489 [in gaia_hydras.nfwfgaia]
n:49 [in hydras.Epsilon0.Hessenberg]
n:49 [in hydras.Ackermann.codeSubFormula]
n:49 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
n:49 [in hydras.Prelude.Fuel]
n:49 [in hydras.MoreAck.Ack]
n:49 [in hydras.Ackermann.primRec]
n:49 [in hydras.Ackermann.Languages]
n:491 [in hydras.Ackermann.primRec]
n:494 [in hydras.Epsilon0.T1]
n:495 [in hydras.Epsilon0.T1]
n:496 [in hydras.Ackermann.primRec]
n:496 [in gaia_hydras.nfwfgaia]
n:497 [in hydras.Gamma0.Gamma0]
n:499 [in gaia_hydras.nfwfgaia]
n:5 [in hydras.Schutte.Correctness_E0]
n:5 [in additions.Fib2]
n:5 [in hydras.Prelude.More_Arith]
n:5 [in hydras.MoreAck.expressibleExamples]
n:5 [in hydras.Ackermann.NN2PA]
n:5 [in additions.FirstSteps]
n:5 [in hydras.MoreAck.Iterate_compat]
n:5 [in hydras.Prelude.Fuel]
n:5 [in hydras.solutions_exercises.FibonacciPR]
n:5 [in hydras.Ackermann.primRec]
n:5 [in hydras.Ackermann.codeNatToTerm]
n:5 [in hydras.Ackermann.wConsistent]
n:5 [in hydras.solutions_exercises.isqrt]
n:50 [in additions.FirstSteps]
n:50 [in hydras.Epsilon0.F_alpha]
n:50 [in hydras.Ackermann.folProp]
n:50 [in hydras.Ackermann.codeSubFormula]
n:50 [in hydras.solutions_exercises.MultisetWf]
n:50 [in hydras.MoreAck.Ack]
n:50 [in gaia_hydras.nfwfgaia]
n:50 [in hydras.Prelude.MoreVectors]
n:501 [in hydras.Ackermann.primRec]
n:501 [in gaia_hydras.nfwfgaia]
n:503 [in hydras.Epsilon0.T1]
n:505 [in hydras.Ackermann.primRec]
n:506 [in hydras.Epsilon0.T1]
n:508 [in hydras.Epsilon0.T1]
n:51 [in Goedel.PRrepresentable]
n:51 [in hydras.Prelude.Iterates]
n:51 [in hydras.Ackermann.codeSubFormula]
n:51 [in hydras.MoreAck.Ack]
n:51 [in hydras.Ackermann.wellFormed]
n:51 [in gaia_hydras.nfwfgaia]
n:51 [in hydras.Ackermann.expressible]
n:511 [in hydras.Epsilon0.T1]
n:511 [in hydras.Epsilon0.Paths]
n:516 [in gaia_hydras.nfwfgaia]
n:517 [in hydras.Epsilon0.T1]
n:517 [in hydras.Epsilon0.Paths]
n:518 [in hydras.Ackermann.checkPrf]
n:518 [in gaia_hydras.nfwfgaia]
n:52 [in hydras.Epsilon0.T1]
n:52 [in hydras.OrdinalNotations.ON_Omega2]
n:52 [in hydras.Ackermann.model]
n:52 [in hydras.Ackermann.subProp]
n:52 [in hydras.Ackermann.codeSubFormula]
n:52 [in hydras.MoreAck.Ack]
n:52 [in gaia_hydras.T1Bridge]
n:521 [in gaia_hydras.nfwfgaia]
n:523 [in hydras.Epsilon0.T1]
n:523 [in hydras.Gamma0.Gamma0]
n:523 [in gaia_hydras.nfwfgaia]
n:527 [in hydras.Epsilon0.T1]
n:529 [in hydras.Epsilon0.T1]
n:53 [in hydras.rpo.more_list]
n:53 [in hydras.Epsilon0.F_alpha]
n:53 [in hydras.MoreAck.AckNotPR]
n:53 [in hydras.Ackermann.codeSubFormula]
n:53 [in hydras.OrdinalNotations.OmegaOmega]
n:53 [in hydras.Ackermann.fol]
n:53 [in hydras.Ackermann.codeList]
n:53 [in hydras.Epsilon0.Paths]
n:530 [in gaia_hydras.nfwfgaia]
n:531 [in gaia_hydras.nfwfgaia]
n:532 [in hydras.Epsilon0.T1]
n:535 [in hydras.Gamma0.Gamma0]
n:537 [in hydras.Ackermann.checkPrf]
n:538 [in hydras.Ackermann.primRec]
n:539 [in hydras.Epsilon0.T1]
n:54 [in hydras.Epsilon0.Epsilon0rpo]
n:54 [in additions.Pow_variant]
n:54 [in additions.Pow]
n:54 [in hydras.Ackermann.codeSubFormula]
n:54 [in hydras.MoreAck.Ack]
n:54 [in hydras.Ackermann.folLogic3]
n:54 [in hydras.Hydra.Hydra_Lemmas]
n:54 [in hydras.Schutte.Addition]
n:543 [in hydras.Epsilon0.T1]
n:543 [in hydras.Gamma0.Gamma0]
n:543 [in gaia_hydras.nfwfgaia]
n:544 [in gaia_hydras.nfwfgaia]
n:545 [in hydras.Epsilon0.T1]
n:545 [in hydras.Ackermann.primRec]
n:548 [in hydras.Ackermann.primRec]
n:548 [in gaia_hydras.nfwfgaia]
n:55 [in Goedel.PRrepresentable]
n:55 [in hydras.Prelude.More_Arith]
n:55 [in hydras.Prelude.Iterates]
n:55 [in hydras.Ackermann.codeSubFormula]
n:55 [in hydras.Ackermann.folLogic3]
n:55 [in Goedel.rosser]
n:55 [in gaia_hydras.nfwfgaia]
n:550 [in hydras.Epsilon0.T1]
n:550 [in hydras.Epsilon0.Paths]
n:552 [in hydras.Epsilon0.T1]
n:554 [in hydras.Epsilon0.T1]
n:556 [in hydras.Epsilon0.T1]
n:556 [in gaia_hydras.nfwfgaia]
n:557 [in hydras.Gamma0.Gamma0]
n:558 [in hydras.Epsilon0.Paths]
n:559 [in hydras.Epsilon0.T1]
n:559 [in hydras.Ackermann.primRec]
n:559 [in gaia_hydras.nfwfgaia]
n:56 [in hydras.Ackermann.model]
n:56 [in hydras.MoreAck.AckNotPR]
n:56 [in hydras.Ackermann.codeSubFormula]
n:56 [in hydras.OrdinalNotations.OmegaOmega]
n:56 [in hydras.Ackermann.fol]
n:56 [in hydras.Ackermann.codeList]
n:56 [in hydras.Prelude.MoreVectors]
n:561 [in hydras.Gamma0.Gamma0]
n:561 [in gaia_hydras.nfwfgaia]
n:562 [in hydras.Ackermann.primRec]
n:563 [in hydras.Epsilon0.T1]
n:563 [in hydras.Epsilon0.Paths]
n:563 [in gaia_hydras.nfwfgaia]
n:565 [in hydras.Ackermann.primRec]
n:567 [in hydras.Ackermann.primRec]
n:568 [in hydras.Gamma0.Gamma0]
n:569 [in hydras.Epsilon0.T1]
n:57 [in hydras.Ackermann.subProp]
n:57 [in hydras.MoreAck.Ack]
n:57 [in gaia_hydras.T1Bridge]
n:57 [in hydras.Epsilon0.Canon]
n:57 [in hydras.Ackermann.folLogic3]
n:57 [in Goedel.rosser]
n:57 [in gaia_hydras.nfwfgaia]
n:572 [in hydras.Epsilon0.Paths]
n:573 [in hydras.Gamma0.Gamma0]
n:574 [in hydras.Epsilon0.T1]
n:577 [in hydras.Ackermann.primRec]
n:578 [in hydras.Epsilon0.T1]
n:58 [in hydras.OrdinalNotations.ON_Omega2]
n:58 [in hydras.Epsilon0.Epsilon0rpo]
n:58 [in hydras.MoreAck.AckNotPR]
n:58 [in hydras.Ackermann.primRec]
n:58 [in hydras.Ackermann.fol]
n:584 [in hydras.Epsilon0.Paths]
n:589 [in hydras.Ackermann.checkPrf]
n:589 [in hydras.Gamma0.Gamma0]
n:59 [in Goedel.PRrepresentable]
n:59 [in hydras.Schutte.Critical]
n:59 [in hydras.MoreAck.Ack]
n:59 [in Goedel.rosserPA]
n:59 [in hydras.Ackermann.wellFormed]
n:59 [in hydras.Ackermann.codeList]
n:59 [in hydras.Hydra.Hydra_Lemmas]
n:595 [in hydras.Epsilon0.T1]
n:598 [in hydras.Epsilon0.T1]
n:598 [in hydras.Gamma0.Gamma0]
n:6 [in hydras.Epsilon0.T1]
n:6 [in additions.Fib2]
n:6 [in gaia_hydras.GF_alpha]
n:6 [in hydras.MoreAck.expressibleExamples]
n:6 [in Goedel.fixPoint]
n:6 [in hydras.Ackermann.PAtheory]
n:6 [in hydras.Ackermann.subProp]
n:6 [in hydras.Ackermann.codeSubFormula]
n:6 [in hydras.solutions_exercises.OnCodeList]
n:6 [in hydras.Schutte.AP]
n:6 [in additions.Naive]
n:6 [in hydras.Ackermann.codeList]
n:6 [in hydras.Hydra.Hydra_Lemmas]
n:6 [in hydras.Prelude.Exp2]
n:6 [in hydras.Epsilon0.Paths]
n:6 [in hydras.Hydra.Omega_Small]
n:6 [in gaia_hydras.nfwfgaia]
n:6 [in hydras.Schutte.Countable]
n:6 [in hydras.Prelude.MoreVectors]
n:60 [in hydras.Epsilon0.Epsilon0rpo]
n:60 [in hydras.solutions_exercises.MultisetWf]
n:60 [in hydras.Ackermann.code]
n:60 [in hydras.Ackermann.expressible]
n:600 [in hydras.Ackermann.primRec]
n:602 [in hydras.Epsilon0.T1]
n:603 [in gaia_hydras.nfwfgaia]
n:605 [in hydras.Ackermann.primRec]
n:606 [in hydras.Epsilon0.T1]
n:608 [in hydras.Ackermann.primRec]
n:608 [in gaia_hydras.nfwfgaia]
n:61 [in hydras.Ackermann.subAll]
n:61 [in hydras.rpo.more_list]
n:61 [in hydras.MoreAck.AckNotPR]
n:61 [in Goedel.rosserPA]
n:61 [in hydras.Ackermann.wellFormed]
n:61 [in Goedel.rosser]
n:61 [in gaia_hydras.nfwfgaia]
n:610 [in hydras.Epsilon0.T1]
n:611 [in hydras.Ackermann.primRec]
n:613 [in hydras.Epsilon0.T1]
n:616 [in hydras.Epsilon0.T1]
n:616 [in hydras.Ackermann.primRec]
n:618 [in hydras.Ackermann.checkPrf]
n:619 [in hydras.Epsilon0.T1]
n:62 [in hydras.Schutte.Correctness_E0]
n:62 [in hydras.Ackermann.subAll]
n:62 [in hydras.rpo.more_list]
n:62 [in additions.Pow_variant]
n:62 [in hydras.Ackermann.model]
n:62 [in additions.Pow]
n:62 [in hydras.Ackermann.subProp]
n:62 [in hydras.Prelude.Fuel]
n:62 [in hydras.Ackermann.code]
n:62 [in gaia_hydras.T1Bridge]
n:62 [in hydras.Ackermann.codeList]
n:62 [in hydras.Ackermann.Languages]
n:620 [in hydras.Ackermann.primRec]
n:622 [in hydras.Epsilon0.T1]
n:627 [in hydras.Epsilon0.T1]
n:627 [in gaia_hydras.nfwfgaia]
n:63 [in Goedel.PRrepresentable]
n:63 [in hydras.solutions_exercises.MultisetWf]
n:63 [in hydras.Ackermann.folLogic3]
n:63 [in Goedel.rosser]
n:63 [in hydras.Schutte.Addition]
n:63 [in hydras.Prelude.MoreVectors]
n:631 [in hydras.Ackermann.primRec]
n:632 [in hydras.Gamma0.Gamma0]
n:634 [in hydras.Ackermann.primRec]
n:635 [in hydras.Gamma0.Gamma0]
n:639 [in hydras.Epsilon0.T1]
n:639 [in hydras.Ackermann.primRec]
n:639 [in hydras.Gamma0.Gamma0]
n:64 [in hydras.OrdinalNotations.ON_Omega2]
n:64 [in hydras.MoreAck.Ack]
n:64 [in hydras.Ackermann.Languages]
n:64 [in hydras.Ackermann.expressible]
n:641 [in hydras.Epsilon0.T1]
n:642 [in hydras.Gamma0.Gamma0]
n:643 [in hydras.Epsilon0.T1]
n:645 [in hydras.Ackermann.primRec]
n:647 [in hydras.Gamma0.Gamma0]
n:649 [in hydras.Ackermann.checkPrf]
n:65 [in hydras.Epsilon0.T1]
n:65 [in hydras.Ackermann.subAll]
n:65 [in hydras.rpo.more_list]
n:65 [in additions.Pow_variant]
n:65 [in additions.Pow]
n:65 [in hydras.Schutte.Critical]
n:65 [in hydras.solutions_exercises.MultisetWf]
n:65 [in Goedel.rosserPA]
n:65 [in hydras.Ackermann.codeList]
n:65 [in hydras.rpo.list_permut]
n:650 [in hydras.Ackermann.primRec]
n:651 [in hydras.Gamma0.Gamma0]
n:652 [in gaia_hydras.nfwfgaia]
n:654 [in hydras.Gamma0.Gamma0]
n:656 [in hydras.Ackermann.primRec]
n:658 [in hydras.Epsilon0.T1]
n:659 [in hydras.Gamma0.Gamma0]
n:66 [in hydras.Schutte.Correctness_E0]
n:66 [in hydras.Prelude.MoreLists]
n:66 [in hydras.Epsilon0.Hessenberg]
n:66 [in hydras.Schutte.Critical]
n:66 [in additions.Euclidean_Chains]
n:66 [in hydras.rpo.list_permut]
n:66 [in hydras.Schutte.Addition]
n:663 [in hydras.Ackermann.primRec]
n:664 [in hydras.Gamma0.Gamma0]
n:667 [in gaia_hydras.nfwfgaia]
n:668 [in gaia_hydras.nfwfgaia]
n:67 [in Goedel.PRrepresentable]
n:67 [in hydras.Epsilon0.F_alpha]
n:67 [in gaia_hydras.GPaths]
n:67 [in hydras.MoreAck.Ack]
n:67 [in gaia_hydras.T1Bridge]
n:67 [in hydras.Ackermann.primRec]
n:67 [in gaia_hydras.nfwfgaia]
n:67 [in hydras.Hydra.Hydra_Definitions]
n:670 [in hydras.Ackermann.primRec]
n:671 [in gaia_hydras.nfwfgaia]
n:674 [in hydras.Epsilon0.T1]
n:674 [in hydras.Ackermann.primRec]
n:678 [in hydras.Epsilon0.T1]
n:68 [in hydras.Ackermann.subAll]
n:68 [in additions.Pow_variant]
n:68 [in additions.Pow]
n:68 [in hydras.Ackermann.codeList]
n:68 [in hydras.Schutte.Addition]
n:680 [in hydras.Gamma0.Gamma0]
n:681 [in hydras.Ackermann.primRec]
n:683 [in hydras.Gamma0.Gamma0]
n:683 [in gaia_hydras.nfwfgaia]
n:685 [in hydras.Ackermann.primRec]
n:688 [in hydras.Gamma0.Gamma0]
n:69 [in additions.Addition_Chains]
n:69 [in gaia_hydras.nfwfgaia]
n:69 [in hydras.Ackermann.expressible]
n:691 [in hydras.Gamma0.Gamma0]
n:7 [in additions.Fib2]
n:7 [in hydras.Ackermann.extEqualNat]
n:7 [in hydras.Prelude.MoreLists]
n:7 [in hydras.MoreAck.expressibleExamples]
n:7 [in additions.Pow_variant]
n:7 [in hydras.Ackermann.model]
n:7 [in additions.Pow]
n:7 [in additions.More_on_positive]
n:7 [in hydras.solutions_exercises.MultisetWf]
n:7 [in hydras.Prelude.Fuel]
n:7 [in hydras.MoreAck.Ack]
n:7 [in hydras.Ackermann.primRec]
n:7 [in gaia_hydras.ON_gfinite]
n:7 [in hydras.OrdinalNotations.ON_Finite]
n:7 [in hydras.Prelude.Exp2]
n:7 [in hydras.solutions_exercises.isqrt]
n:7 [in hydras.Gamma0.Gamma0]
n:7 [in hydras.Schutte.Addition]
n:70 [in hydras.Prelude.Iterates]
n:70 [in additions.Pow_variant]
n:70 [in gaia_hydras.GPaths]
n:70 [in additions.Pow]
n:70 [in hydras.Ackermann.folProp]
n:70 [in hydras.MoreAck.Ack]
n:70 [in Goedel.rosserPA]
n:70 [in hydras.Schutte.Addition]
n:702 [in gaia_hydras.nfwfgaia]
n:707 [in hydras.Ackermann.primRec]
n:708 [in gaia_hydras.nfwfgaia]
n:709 [in hydras.Ackermann.primRec]
n:71 [in Goedel.PRrepresentable]
n:71 [in hydras.Prelude.MoreLists]
n:71 [in hydras.Ackermann.folProp]
n:71 [in hydras.Schutte.Critical]
n:71 [in hydras.Ackermann.codeList]
n:71 [in gaia_hydras.nfwfgaia]
n:712 [in hydras.Gamma0.Gamma0]
n:712 [in gaia_hydras.nfwfgaia]
n:714 [in hydras.Epsilon0.T1]
n:72 [in hydras.Epsilon0.T1]
n:72 [in hydras.Epsilon0.F_alpha]
n:72 [in hydras.Ackermann.folProp]
n:72 [in hydras.Schutte.Critical]
n:72 [in hydras.MoreAck.Ack]
n:72 [in hydras.Hydra.BigBattle]
n:72 [in hydras.rpo.list_permut]
n:720 [in hydras.Epsilon0.T1]
n:723 [in hydras.Epsilon0.T1]
n:724 [in gaia_hydras.nfwfgaia]
n:73 [in additions.Pow]
n:73 [in hydras.Epsilon0.Hessenberg]
n:73 [in gaia_hydras.T1Bridge]
n:73 [in hydras.Ackermann.primRec]
n:73 [in hydras.Hydra.BigBattle]
n:73 [in hydras.Ackermann.codeList]
n:73 [in hydras.rpo.list_permut]
n:73 [in hydras.Schutte.Addition]
n:736 [in gaia_hydras.nfwfgaia]
n:74 [in hydras.Prelude.Iterates]
n:74 [in hydras.Prelude.MoreLists]
n:74 [in hydras.Epsilon0.F_alpha]
n:74 [in additions.Pow_variant]
n:74 [in hydras.Ackermann.model]
n:74 [in hydras.MoreAck.Ack]
n:74 [in gaia_hydras.nfwfgaia]
n:748 [in gaia_hydras.nfwfgaia]
n:75 [in hydras.rpo.more_list]
n:75 [in hydras.Ackermann.LNN2LNT]
n:75 [in hydras.Ackermann.subProp]
n:75 [in hydras.solutions_exercises.MultisetWf]
n:75 [in hydras.Ackermann.primRec]
n:75 [in hydras.Hydra.BigBattle]
n:75 [in hydras.Ackermann.codeList]
n:75 [in hydras.Epsilon0.Hprime]
n:75 [in gaia_hydras.nfwfgaia]
n:750 [in gaia_hydras.nfwfgaia]
n:753 [in gaia_hydras.nfwfgaia]
n:755 [in gaia_hydras.nfwfgaia]
n:756 [in hydras.Epsilon0.T1]
n:757 [in gaia_hydras.nfwfgaia]
n:759 [in gaia_hydras.nfwfgaia]
n:76 [in hydras.Ackermann.subAll]
n:76 [in hydras.Prelude.MoreLists]
n:76 [in hydras.MoreAck.AckNotPR]
n:76 [in hydras.MoreAck.Ack]
n:76 [in Goedel.codeSysPrf]
n:76 [in gaia_hydras.nfwfgaia]
n:76 [in hydras.Hydra.Hydra_Definitions]
n:764 [in gaia_hydras.nfwfgaia]
n:767 [in gaia_hydras.nfwfgaia]
n:769 [in gaia_hydras.nfwfgaia]
n:77 [in hydras.Gamma0.T2]
n:77 [in gaia_hydras.GPaths]
n:77 [in hydras.Ackermann.model]
n:77 [in additions.Pow]
n:77 [in hydras.Ackermann.codeList]
n:77 [in hydras.Epsilon0.Hprime]
n:78 [in hydras.Epsilon0.T1]
n:78 [in Goedel.PRrepresentable]
n:78 [in hydras.Prelude.Iterates]
n:78 [in hydras.Ackermann.codeSubFormula]
n:78 [in gaia_hydras.nfwfgaia]
n:780 [in gaia_hydras.nfwfgaia]
n:784 [in gaia_hydras.nfwfgaia]
n:787 [in gaia_hydras.nfwfgaia]
n:79 [in additions.AM]
n:79 [in hydras.Prelude.MoreLists]
n:79 [in hydras.MoreAck.Ack]
n:79 [in gaia_hydras.T1Bridge]
n:79 [in hydras.Ackermann.codeList]
n:79 [in gaia_hydras.nfwfgaia]
n:795 [in gaia_hydras.nfwfgaia]
n:796 [in hydras.Ackermann.checkPrf]
n:8 [in hydras.Epsilon0.T1]
n:8 [in hydras.MoreAck.expressibleExamples]
n:8 [in hydras.solutions_exercises.FibonacciPR]
n:8 [in hydras.Hydra.BigBattle]
n:8 [in additions.Naive]
n:8 [in hydras.Ackermann.codeList]
n:80 [in hydras.Gamma0.T2]
n:80 [in hydras.Epsilon0.F_alpha]
n:80 [in hydras.MoreAck.AckNotPR]
n:80 [in hydras.Ackermann.subProp]
n:80 [in hydras.MoreAck.Ack]
n:802 [in hydras.Ackermann.checkPrf]
n:802 [in gaia_hydras.nfwfgaia]
n:806 [in hydras.Ackermann.checkPrf]
n:806 [in gaia_hydras.nfwfgaia]
n:81 [in hydras.Hydra.O2H]
n:81 [in hydras.Ackermann.LNN2LNT]
n:81 [in additions.Pow_variant]
n:81 [in hydras.Ackermann.model]
n:81 [in hydras.Ackermann.codeList]
n:81 [in hydras.Epsilon0.Hprime]
n:81 [in gaia_hydras.nfwfgaia]
n:81 [in hydras.Prelude.MoreVectors]
n:810 [in hydras.Ackermann.checkPrf]
n:82 [in Goedel.PRrepresentable]
n:82 [in hydras.Epsilon0.F_alpha]
n:82 [in hydras.Ackermann.folProp]
n:82 [in gaia_hydras.T1Bridge]
n:82 [in gaia_hydras.nfwfgaia]
n:820 [in hydras.Ackermann.primRec]
n:821 [in hydras.Ackermann.primRec]
n:824 [in hydras.Ackermann.primRec]
n:825 [in hydras.Ackermann.codeSubFormula]
n:829 [in hydras.Ackermann.codeSubFormula]
n:83 [in hydras.Epsilon0.T1]
n:83 [in additions.Pow_variant]
n:83 [in additions.Pow]
n:83 [in hydras.Ackermann.folProp]
n:83 [in hydras.MoreAck.Ack]
n:83 [in hydras.Ackermann.codeList]
n:83 [in gaia_hydras.nfwfgaia]
n:834 [in gaia_hydras.nfwfgaia]
n:836 [in hydras.Ackermann.codeSubFormula]
n:839 [in hydras.Ackermann.codeSubFormula]
n:84 [in hydras.Epsilon0.F_alpha]
n:84 [in hydras.MoreAck.Ack]
n:84 [in hydras.Epsilon0.Canon]
n:844 [in hydras.Ackermann.checkPrf]
n:844 [in gaia_hydras.nfwfgaia]
n:85 [in hydras.Ackermann.subAll]
n:85 [in hydras.Prelude.Iterates]
n:85 [in additions.Pow_variant]
n:85 [in additions.Pow]
n:85 [in hydras.MoreAck.AckNotPR]
n:85 [in hydras.Ackermann.subProp]
n:85 [in Goedel.rosserPA]
n:85 [in hydras.Ackermann.primRec]
n:85 [in hydras.Ackermann.codeList]
n:85 [in gaia_hydras.nfwfgaia]
n:858 [in hydras.Ackermann.checkPrf]
n:86 [in Goedel.PRrepresentable]
n:86 [in hydras.Prelude.MoreLists]
n:86 [in hydras.Epsilon0.F_alpha]
n:86 [in hydras.Prelude.MoreVectors]
n:862 [in gaia_hydras.nfwfgaia]
n:863 [in hydras.Ackermann.checkPrf]
n:867 [in hydras.Ackermann.codeSubFormula]
n:867 [in gaia_hydras.nfwfgaia]
n:87 [in hydras.Hydra.O2H]
n:87 [in hydras.Ackermann.LNN2LNT]
n:87 [in additions.Pow_variant]
n:87 [in Goedel.rosserPA]
n:87 [in hydras.Ackermann.codeList]
n:870 [in hydras.Ackermann.codeSubFormula]
n:873 [in hydras.Ackermann.codeSubFormula]
n:877 [in hydras.Ackermann.codeSubFormula]
n:88 [in hydras.Epsilon0.T1]
n:88 [in hydras.Ackermann.primRec]
n:88 [in hydras.Ackermann.codeList]
n:88 [in gaia_hydras.nfwfgaia]
n:881 [in hydras.Ackermann.codeSubFormula]
n:89 [in hydras.Gamma0.T2]
n:89 [in hydras.Ackermann.subAll]
n:89 [in hydras.Ackermann.codeList]
n:89 [in gaia_hydras.nfwfgaia]
n:891 [in hydras.Ackermann.codeSubFormula]
n:891 [in gaia_hydras.nfwfgaia]
n:894 [in hydras.Ackermann.codeSubFormula]
n:9 [in hydras.Ackermann.folProof]
n:9 [in hydras.Schutte.Correctness_E0]
n:9 [in hydras.Gamma0.T2]
n:9 [in hydras.Prelude.More_Arith]
n:9 [in hydras.Prelude.Iterates]
n:9 [in hydras.Prelude.Compat815]
n:9 [in hydras.Ackermann.LNN2LNT]
n:9 [in Goedel.fixPoint]
n:9 [in hydras.Epsilon0.Hessenberg]
n:9 [in additions.More_on_positive]
n:9 [in hydras.MoreAck.AckNotPR]
n:9 [in hydras.Ackermann.codeSubFormula]
n:9 [in hydras.Prelude.Fuel]
n:9 [in hydras.solutions_exercises.MorePRExamples]
n:9 [in hydras.Hydra.Hydra_Termination]
n:9 [in hydras.Hydra.BigBattle]
n:9 [in hydras.Ackermann.wellFormed]
n:9 [in hydras.Epsilon0.Canon]
n:9 [in additions.fib]
n:9 [in hydras.solutions_exercises.F_3]
n:9 [in gaia_hydras.nfwfgaia]
n:9 [in hydras.Schutte.Countable]
n:90 [in Goedel.PRrepresentable]
n:90 [in hydras.Epsilon0.F_alpha]
n:90 [in additions.Pow]
n:90 [in hydras.MoreAck.AckNotPR]
n:90 [in hydras.Ackermann.folLogic3]
n:90 [in hydras.Prelude.MoreVectors]
n:904 [in gaia_hydras.nfwfgaia]
n:907 [in hydras.Ackermann.codeSubFormula]
n:91 [in Goedel.rosserPA]
n:91 [in hydras.Epsilon0.E0]
n:91 [in hydras.Ackermann.codeList]
n:91 [in hydras.Hydra.Hydra_Definitions]
n:910 [in hydras.Ackermann.codeSubFormula]
n:912 [in gaia_hydras.nfwfgaia]
n:913 [in hydras.Ackermann.codeSubFormula]
n:918 [in hydras.Ackermann.codeSubFormula]
n:92 [in hydras.Gamma0.T2]
n:92 [in hydras.Epsilon0.F_alpha]
n:92 [in hydras.MoreAck.AckNotPR]
n:92 [in hydras.Ackermann.fol]
n:92 [in hydras.Ackermann.folLogic3]
n:92 [in Goedel.codeSysPrf]
n:923 [in hydras.Ackermann.codeSubFormula]
n:93 [in hydras.Epsilon0.T1]
n:93 [in hydras.Ackermann.LNN2LNT]
n:93 [in additions.Pow]
n:93 [in hydras.Ackermann.primRec]
n:93 [in hydras.Ackermann.codeList]
n:93 [in hydras.Prelude.MoreVectors]
n:934 [in hydras.Ackermann.codeSubFormula]
n:936 [in gaia_hydras.nfwfgaia]
n:937 [in hydras.Ackermann.codeSubFormula]
n:94 [in Goedel.PRrepresentable]
n:94 [in hydras.MoreAck.AckNotPR]
n:941 [in gaia_hydras.nfwfgaia]
n:946 [in gaia_hydras.nfwfgaia]
n:95 [in hydras.Ackermann.subAll]
n:95 [in hydras.Ackermann.fol]
n:95 [in hydras.Ackermann.codeList]
n:95 [in hydras.MoreAck.PrimRecExamples]
n:950 [in gaia_hydras.nfwfgaia]
n:952 [in gaia_hydras.nfwfgaia]
n:96 [in additions.Pow]
n:96 [in Goedel.rosserPA]
n:96 [in hydras.Ackermann.folLogic3]
n:96 [in hydras.Hydra.Hydra_Definitions]
n:967 [in gaia_hydras.nfwfgaia]
n:969 [in gaia_hydras.nfwfgaia]
n:97 [in hydras.Prelude.MoreLists]
n:97 [in hydras.Epsilon0.F_alpha]
n:97 [in additions.Pow_variant]
n:97 [in hydras.MoreAck.AckNotPR]
n:97 [in hydras.Ackermann.subProp]
n:97 [in hydras.Ackermann.primRec]
n:97 [in hydras.Ackermann.codeList]
n:97 [in gaia_hydras.nfwfgaia]
n:971 [in gaia_hydras.nfwfgaia]
n:975 [in gaia_hydras.nfwfgaia]
n:979 [in gaia_hydras.nfwfgaia]
n:98 [in hydras.Epsilon0.T1]
n:98 [in hydras.Gamma0.T2]
n:98 [in hydras.Ackermann.codeList]
n:98 [in hydras.Epsilon0.Hprime]
n:985 [in gaia_hydras.nfwfgaia]
n:987 [in gaia_hydras.nfwfgaia]
n:99 [in hydras.Epsilon0.F_alpha]
n:99 [in hydras.Ackermann.subProp]
n:99 [in hydras.Ackermann.codeList]
n:99 [in hydras.Prelude.MoreVectors]

O

OA:109 [in hydras.OrdinalNotations.ON_Generic]
OA:124 [in hydras.OrdinalNotations.ON_Generic]
OA:136 [in hydras.OrdinalNotations.ON_Generic]
OA:149 [in hydras.OrdinalNotations.ON_Generic]
OA:162 [in hydras.OrdinalNotations.ON_Generic]
OA:174 [in hydras.OrdinalNotations.ON_Generic]
OA:187 [in hydras.OrdinalNotations.ON_Generic]
OA:201 [in hydras.OrdinalNotations.ON_Generic]
OA:32 [in hydras.OrdinalNotations.ON_Generic]
OA:5 [in hydras.OrdinalNotations.ON_O]
OA:51 [in hydras.OrdinalNotations.ON_Generic]
OA:70 [in hydras.OrdinalNotations.ON_Generic]
OA:84 [in hydras.OrdinalNotations.ON_Generic]
OA:96 [in hydras.OrdinalNotations.ON_Generic]
OB:100 [in hydras.OrdinalNotations.ON_Generic]
OB:113 [in hydras.OrdinalNotations.ON_Generic]
OB:128 [in hydras.OrdinalNotations.ON_Generic]
OB:140 [in hydras.OrdinalNotations.ON_Generic]
OB:153 [in hydras.OrdinalNotations.ON_Generic]
OB:166 [in hydras.OrdinalNotations.ON_Generic]
OB:178 [in hydras.OrdinalNotations.ON_Generic]
OB:191 [in hydras.OrdinalNotations.ON_Generic]
OB:205 [in hydras.OrdinalNotations.ON_Generic]
OB:36 [in hydras.OrdinalNotations.ON_Generic]
OB:55 [in hydras.OrdinalNotations.ON_Generic]
OB:88 [in hydras.OrdinalNotations.ON_Generic]
ol'':40 [in hydras.Schutte.CNF]
ol'':45 [in hydras.Schutte.CNF]
ol':30 [in hydras.Schutte.CNF]
ol':34 [in hydras.Schutte.CNF]
ol':37 [in hydras.Schutte.CNF]
ol':39 [in hydras.Schutte.CNF]
ol':43 [in hydras.Schutte.CNF]
ol:29 [in hydras.Schutte.CNF]
ol:33 [in hydras.Schutte.CNF]
ol:35 [in hydras.Schutte.CNF]
ol:38 [in hydras.Schutte.CNF]
ol:41 [in hydras.Schutte.CNF]
one:100 [in additions.AM]
one:103 [in additions.Addition_Chains]
one:105 [in additions.AM]
one:110 [in additions.AM]
one:111 [in additions.Addition_Chains]
one:117 [in additions.Addition_Chains]
one:120 [in additions.AM]
one:124 [in additions.Addition_Chains]
one:125 [in additions.AM]
one:131 [in additions.Addition_Chains]
one:161 [in additions.Addition_Chains]
one:168 [in additions.Addition_Chains]
one:174 [in additions.Addition_Chains]
one:36 [in additions.FirstSteps]
one:37 [in additions.AM]
one:42 [in additions.FirstSteps]
one:43 [in additions.AM]
one:54 [in additions.AM]
one:59 [in additions.Monoid_def]
one:61 [in additions.AM]
one:63 [in additions.Monoid_def]
one:74 [in additions.AM]
one:8 [in additions.Monoid_def]
one:84 [in additions.AM]
one:95 [in additions.AM]
on:10 [in hydras.OrdinalNotations.ON_Generic]
on:14 [in hydras.OrdinalNotations.ON_Generic]
On:4 [in hydras.solutions_exercises.lt_succ_le]
On:5 [in hydras.solutions_exercises.predSuccUnicity]
opA:194 [in hydras.OrdinalNotations.ON_Generic]
opB:195 [in hydras.OrdinalNotations.ON_Generic]
oplus_aux:8 [in hydras.Epsilon0.Hessenberg]
oplus_aux:14 [in gaia_hydras.GHessenberg]
op:100 [in additions.Euclidean_Chains]
op:102 [in additions.fib]
op:102 [in additions.Addition_Chains]
op:104 [in additions.AM]
op:109 [in additions.AM]
op:109 [in additions.fib]
op:110 [in additions.Addition_Chains]
op:111 [in additions.Euclidean_Chains]
op:116 [in additions.Addition_Chains]
op:117 [in additions.fib]
op:119 [in additions.AM]
op:123 [in additions.Addition_Chains]
op:124 [in additions.AM]
op:130 [in additions.Addition_Chains]
op:160 [in additions.Addition_Chains]
op:163 [in additions.Euclidean_Chains]
op:167 [in additions.Addition_Chains]
op:169 [in additions.Euclidean_Chains]
op:173 [in additions.Addition_Chains]
op:183 [in additions.Euclidean_Chains]
op:195 [in additions.Euclidean_Chains]
op:36 [in additions.AM]
op:36 [in additions.Euclidean_Chains]
op:42 [in additions.AM]
op:42 [in additions.Addition_Chains]
op:43 [in additions.Euclidean_Chains]
op:48 [in additions.Euclidean_Chains]
op:5 [in additions.Monoid_def]
op:51 [in additions.Euclidean_Chains]
op:53 [in additions.AM]
op:54 [in additions.Euclidean_Chains]
op:54 [in additions.Addition_Chains]
op:58 [in additions.Monoid_def]
op:60 [in additions.AM]
op:62 [in additions.Monoid_def]
op:62 [in additions.Euclidean_Chains]
op:69 [in additions.Euclidean_Chains]
op:7 [in additions.Monoid_def]
op:73 [in additions.AM]
op:83 [in additions.AM]
op:89 [in additions.Euclidean_Chains]
op:94 [in additions.AM]
op:99 [in additions.AM]
output:62 [in hydras.Ackermann.codeSubFormula]
o':423 [in hydras.Gamma0.Gamma0]
o':434 [in hydras.Gamma0.Gamma0]
o':437 [in hydras.Gamma0.Gamma0]
o':61 [in hydras.Epsilon0.Epsilon0rpo]
o':64 [in hydras.Epsilon0.Epsilon0rpo]
o1:15 [in hydras.rpo.rpo]
o1:20 [in hydras.rpo.rpo]
o1:6 [in hydras.rpo.rpo]
o2:16 [in hydras.rpo.rpo]
o2:21 [in hydras.rpo.rpo]
o2:7 [in hydras.rpo.rpo]
o:10 [in hydras.Hydra.O2H]
o:124 [in hydras.Schutte.Schutte_basics]
o:13 [in hydras.Hydra.O2H]
o:131 [in hydras.Schutte.Ordering_Functions]
o:18 [in hydras.Schutte.Addition]
o:19 [in hydras.Schutte.Addition]
o:280 [in hydras.Gamma0.Gamma0]
o:36 [in hydras.Epsilon0.Epsilon0rpo]
o:424 [in hydras.Gamma0.Gamma0]
o:435 [in hydras.Gamma0.Gamma0]
o:436 [in hydras.Gamma0.Gamma0]
o:537 [in hydras.Epsilon0.T1]
o:619 [in hydras.Gamma0.Gamma0]
o:62 [in hydras.Epsilon0.Epsilon0rpo]
o:628 [in hydras.Gamma0.Gamma0]
o:63 [in hydras.Epsilon0.Epsilon0rpo]
o:63 [in hydras.Schutte.CNF]
o:64 [in hydras.Schutte.CNF]
o:75 [in hydras.Schutte.Ordering_Functions]

P

pair:134 [in Goedel.PRrepresentable]
pair:145 [in Goedel.PRrepresentable]
pair:156 [in Goedel.PRrepresentable]
pair:239 [in Goedel.PRrepresentable]
pair:245 [in Goedel.PRrepresentable]
pair:460 [in Goedel.PRrepresentable]
pair:468 [in Goedel.PRrepresentable]
pA:50 [in hydras.Prelude.Sort_spec]
PA:64 [in hydras.Prelude.Sort_spec]
PB:5 [in hydras.Prelude.DecPreOrder_Instances]
pB:51 [in hydras.Prelude.Sort_spec]
PB:65 [in hydras.Prelude.Sort_spec]
Pdec:3 [in hydras.Prelude.First_toggle]
pf:39 [in hydras.MoreAck.FolExamples]
pf:40 [in hydras.MoreAck.FolExamples]
phi:198 [in hydras.Prelude.Iterates]
phi:214 [in hydras.Prelude.Iterates]
phi:29 [in hydras.MoreAck.FolExamples]
phi:69 [in hydras.MoreAck.PrimRecExamples]
phi:76 [in hydras.MoreAck.PrimRecExamples]
phi:85 [in hydras.MoreAck.PrimRecExamples]
pq:68 [in hydras.rpo.dickson]
prf:11 [in hydras.Ackermann.Deduction]
prf:121 [in hydras.Ackermann.LNN2LNT]
prf:129 [in hydras.Ackermann.LNN2LNT]
prf:45 [in hydras.Ackermann.code]
prf:47 [in hydras.Ackermann.folProof]
proof:202 [in hydras.rpo.rpo]
proof:206 [in hydras.rpo.rpo]
pr:120 [in Goedel.PRrepresentable]
pr:636 [in hydras.Ackermann.primRec]
pr:641 [in hydras.Ackermann.primRec]
psi:215 [in hydras.Prelude.Iterates]
P_dec:190 [in hydras.rpo.list_set]
P_dec:67 [in hydras.rpo.list_set]
P_dec:63 [in hydras.rpo.list_set]
P_dec:59 [in hydras.rpo.list_set]
P_dec:55 [in hydras.rpo.list_set]
P_dec:52 [in hydras.rpo.list_set]
P_dec:49 [in hydras.rpo.list_set]
P_dec:45 [in hydras.rpo.list_set]
P_dec:40 [in hydras.rpo.list_set]
p':2 [in additions.More_on_positive]
p':22 [in hydras.Prelude.More_Arith]
p':40 [in hydras.Prelude.DecPreOrder_Instances]
p':66 [in hydras.rpo.dickson]
p':7 [in hydras.solutions_exercises.MinPR2]
p0:395 [in additions.Euclidean_Chains]
p0:402 [in additions.Euclidean_Chains]
P0:46 [in hydras.Prelude.DecPreOrder]
p0:838 [in hydras.Ackermann.checkPrf]
p0:841 [in hydras.Ackermann.checkPrf]
P0:89 [in hydras.Prelude.DecPreOrder]
P0:95 [in hydras.Prelude.DecPreOrder]
P1_dec:195 [in hydras.rpo.list_set]
p1:109 [in hydras.Ackermann.codeList]
p1:114 [in hydras.Ackermann.codeList]
p1:117 [in hydras.Ackermann.codeList]
p1:122 [in hydras.Ackermann.codeList]
p1:125 [in hydras.Ackermann.codeList]
p1:128 [in hydras.Ackermann.codeList]
p1:1309 [in hydras.Ackermann.codeSubFormula]
p1:131 [in hydras.Ackermann.codeList]
p1:1313 [in hydras.Ackermann.codeSubFormula]
p1:1315 [in hydras.Ackermann.codeSubFormula]
p1:1318 [in hydras.Ackermann.codeSubFormula]
p1:1320 [in hydras.Ackermann.codeSubFormula]
p1:1323 [in hydras.Ackermann.codeSubFormula]
p1:1326 [in hydras.Ackermann.codeSubFormula]
p1:1329 [in hydras.Ackermann.codeSubFormula]
p1:1332 [in hydras.Ackermann.codeSubFormula]
p1:1335 [in hydras.Ackermann.codeSubFormula]
p1:1338 [in hydras.Ackermann.codeSubFormula]
p1:134 [in hydras.Ackermann.codeList]
p1:1348 [in hydras.Ackermann.codeSubFormula]
p1:1350 [in hydras.Ackermann.codeSubFormula]
p1:1352 [in hydras.Ackermann.codeSubFormula]
p1:1354 [in hydras.Ackermann.codeSubFormula]
p1:1356 [in hydras.Ackermann.codeSubFormula]
p1:1358 [in hydras.Ackermann.codeSubFormula]
p1:137 [in hydras.Ackermann.codeList]
p1:140 [in hydras.Ackermann.codeList]
p1:143 [in hydras.Ackermann.codeList]
p1:166 [in hydras.Ackermann.codeList]
p1:169 [in hydras.Ackermann.codeList]
p1:172 [in hydras.Ackermann.codeList]
p1:175 [in hydras.Ackermann.codeList]
p1:178 [in hydras.Ackermann.codeList]
p1:181 [in hydras.Ackermann.codeList]
p1:183 [in hydras.Ackermann.codeList]
p1:185 [in hydras.Ackermann.codeList]
p1:187 [in hydras.Ackermann.codeList]
p1:189 [in hydras.Ackermann.codeList]
p1:191 [in hydras.Ackermann.codeList]
p1:193 [in hydras.Ackermann.codeList]
P1:193 [in hydras.rpo.list_set]
p1:214 [in hydras.Ackermann.codeList]
p1:219 [in hydras.Ackermann.codeList]
p1:222 [in hydras.Ackermann.codeList]
p1:227 [in hydras.Ackermann.codeList]
p1:230 [in hydras.Ackermann.codeList]
p1:233 [in hydras.Ackermann.codeList]
p1:236 [in hydras.Ackermann.codeList]
p1:239 [in hydras.Ackermann.codeList]
p1:242 [in hydras.Ackermann.codeList]
p1:245 [in hydras.Ackermann.codeList]
p1:248 [in hydras.Ackermann.codeList]
p1:251 [in hydras.Ackermann.codeList]
p1:254 [in hydras.Ackermann.codeList]
p1:257 [in hydras.Ackermann.codeList]
p1:260 [in hydras.Ackermann.codeList]
p1:262 [in hydras.Ackermann.codeList]
p1:264 [in hydras.Ackermann.codeList]
p1:266 [in hydras.Ackermann.codeList]
p1:268 [in hydras.Ackermann.codeList]
p1:270 [in hydras.Ackermann.codeList]
p1:272 [in hydras.Ackermann.codeList]
p1:33 [in hydras.Ackermann.primRec]
p1:42 [in hydras.Ackermann.codeList]
p1:47 [in hydras.Ackermann.codeList]
p1:50 [in hydras.Ackermann.codeList]
p1:55 [in hydras.Ackermann.codeList]
p1:58 [in hydras.Ackermann.codeList]
p1:61 [in hydras.Ackermann.codeList]
p1:613 [in hydras.Ackermann.primRec]
p1:618 [in hydras.Ackermann.primRec]
p1:64 [in hydras.Ackermann.codeList]
p1:67 [in hydras.Ackermann.codeList]
p1:70 [in hydras.Ackermann.codeList]
P2_dec:196 [in hydras.rpo.list_set]
p2:1310 [in hydras.Ackermann.codeSubFormula]
p2:1314 [in hydras.Ackermann.codeSubFormula]
p2:1316 [in hydras.Ackermann.codeSubFormula]
p2:1319 [in hydras.Ackermann.codeSubFormula]
p2:1321 [in hydras.Ackermann.codeSubFormula]
p2:1324 [in hydras.Ackermann.codeSubFormula]
p2:1327 [in hydras.Ackermann.codeSubFormula]
p2:1330 [in hydras.Ackermann.codeSubFormula]
p2:1333 [in hydras.Ackermann.codeSubFormula]
p2:1336 [in hydras.Ackermann.codeSubFormula]
p2:1339 [in hydras.Ackermann.codeSubFormula]
p2:1349 [in hydras.Ackermann.codeSubFormula]
p2:1351 [in hydras.Ackermann.codeSubFormula]
p2:1353 [in hydras.Ackermann.codeSubFormula]
p2:1355 [in hydras.Ackermann.codeSubFormula]
p2:1357 [in hydras.Ackermann.codeSubFormula]
p2:1359 [in hydras.Ackermann.codeSubFormula]
P2:194 [in hydras.rpo.list_set]
p2:34 [in hydras.Ackermann.primRec]
p2:614 [in hydras.Ackermann.primRec]
p2:619 [in hydras.Ackermann.primRec]
P2:79 [in hydras.Prelude.MoreVectors]
P:1 [in hydras.Prelude.First_toggle]
p:1 [in additions.More_on_positive]
P:1 [in hydras.Prelude.MoreDecidable]
p:1 [in additions.BinaryStrat]
p:1 [in additions.Dichotomy]
P:1 [in hydras.solutions_exercises.isqrt]
p:1 [in gaia_hydras.nfwfgaia]
p:10 [in additions.FirstSteps]
p:10 [in additions.More_on_positive]
p:10 [in hydras.solutions_exercises.F_3]
p:101 [in hydras.Ackermann.checkPrf]
p:103 [in hydras.Ackermann.checkPrf]
p:105 [in hydras.Ackermann.checkPrf]
p:106 [in hydras.Ackermann.checkPrf]
p:107 [in hydras.Ackermann.checkPrf]
p:108 [in hydras.Ackermann.checkPrf]
p:109 [in hydras.Ackermann.checkPrf]
p:11 [in hydras.solutions_exercises.MinPR2]
p:11 [in hydras.MoreAck.expressibleExamples]
p:11 [in additions.More_on_positive]
p:11 [in hydras.solutions_exercises.MultisetWf]
p:11 [in hydras.Epsilon0.F_omega]
p:11 [in hydras.solutions_exercises.FibonacciPR]
P:11 [in hydras.Prelude.MoreDecidable]
p:110 [in hydras.Ackermann.checkPrf]
p:111 [in hydras.Prelude.Iterates]
p:111 [in hydras.Ackermann.checkPrf]
p:111 [in hydras.Ackermann.fol]
p:112 [in hydras.Ackermann.checkPrf]
p:113 [in hydras.Ackermann.checkPrf]
p:114 [in hydras.Ackermann.folProp]
p:115 [in hydras.Ackermann.checkPrf]
p:117 [in hydras.Ackermann.checkPrf]
p:1176 [in gaia_hydras.nfwfgaia]
p:1179 [in gaia_hydras.nfwfgaia]
p:118 [in hydras.Ackermann.fol]
p:1182 [in gaia_hydras.nfwfgaia]
p:1185 [in gaia_hydras.nfwfgaia]
p:1188 [in gaia_hydras.nfwfgaia]
p:119 [in hydras.Ackermann.checkPrf]
P:119 [in hydras.Prelude.Merge_Sort]
p:12 [in additions.Fib2]
p:12 [in additions.More_on_positive]
p:12 [in hydras.solutions_exercises.FibonacciPR]
p:121 [in hydras.Ackermann.checkPrf]
P:121 [in hydras.Epsilon0.Large_Sets]
p:123 [in hydras.Ackermann.checkPrf]
P:124 [in hydras.Epsilon0.Large_Sets]
p:124 [in hydras.Ackermann.primRec]
p:125 [in hydras.Ackermann.checkPrf]
p:127 [in hydras.Ackermann.checkPrf]
p:127 [in hydras.Epsilon0.Hprime]
p:128 [in hydras.Ackermann.primRec]
p:129 [in hydras.Ackermann.checkPrf]
p:13 [in additions.Fib2]
P:13 [in hydras.Prelude.Sort_spec]
p:13 [in additions.More_on_positive]
p:13 [in additions.Trace_exercise]
P:13 [in hydras.Schutte.Addition]
p:13 [in hydras.Schutte.Countable]
p:130 [in hydras.Ackermann.checkPrf]
p:131 [in hydras.Ackermann.checkPrf]
p:131 [in hydras.Epsilon0.Hprime]
p:132 [in hydras.rpo.term]
p:132 [in hydras.Ackermann.checkPrf]
p:133 [in hydras.Ackermann.checkPrf]
p:134 [in additions.fib]
p:1340 [in gaia_hydras.nfwfgaia]
p:135 [in hydras.Ackermann.checkPrf]
p:137 [in hydras.rpo.term]
p:137 [in hydras.Ackermann.checkPrf]
p:137 [in additions.Euclidean_Chains]
p:137 [in additions.fib]
p:138 [in hydras.Ackermann.checkPrf]
p:138 [in additions.Euclidean_Chains]
p:138 [in hydras.Epsilon0.Hprime]
p:139 [in hydras.Gamma0.T2]
p:139 [in hydras.Ackermann.checkPrf]
p:14 [in hydras.Prelude.More_Arith]
p:14 [in additions.FirstSteps]
p:14 [in hydras.solutions_exercises.FibonacciPR]
P:14 [in hydras.Schutte.PartialFun]
p:140 [in hydras.Ackermann.checkPrf]
p:140 [in additions.fib]
p:140 [in hydras.Epsilon0.Hprime]
p:1408 [in hydras.Ackermann.codeSubFormula]
p:141 [in hydras.Ackermann.checkPrf]
p:1413 [in hydras.Ackermann.codeSubFormula]
p:1415 [in hydras.Ackermann.codeSubFormula]
P:142 [in hydras.Prelude.Merge_Sort]
p:1420 [in hydras.Ackermann.codeSubFormula]
p:1425 [in hydras.Ackermann.codeSubFormula]
p:143 [in hydras.rpo.term]
p:143 [in hydras.Ackermann.checkPrf]
P:143 [in hydras.Prelude.Merge_Sort]
p:143 [in hydras.Epsilon0.Hprime]
P:144 [in hydras.Prelude.MoreLists]
p:145 [in hydras.Ackermann.checkPrf]
p:145 [in hydras.Epsilon0.Hprime]
p:1458 [in gaia_hydras.nfwfgaia]
p:146 [in hydras.rpo.term]
p:147 [in hydras.Ackermann.checkPrf]
p:149 [in hydras.Ackermann.checkPrf]
p:15 [in additions.More_on_positive]
p:151 [in hydras.rpo.term]
p:151 [in hydras.Ackermann.checkPrf]
P:152 [in hydras.Ackermann.fol]
p:153 [in hydras.Ackermann.checkPrf]
p:155 [in hydras.Ackermann.checkPrf]
p:155 [in additions.fib]
p:156 [in additions.fib]
p:1569 [in hydras.Ackermann.codeSubFormula]
p:157 [in hydras.Ackermann.checkPrf]
P:157 [in hydras.Ackermann.fol]
p:157 [in additions.fib]
p:1571 [in hydras.Ackermann.codeSubFormula]
p:1573 [in hydras.Ackermann.codeSubFormula]
p:1575 [in hydras.Ackermann.codeSubFormula]
p:1577 [in hydras.Ackermann.codeSubFormula]
p:1579 [in hydras.Ackermann.codeSubFormula]
p:1581 [in hydras.Ackermann.codeSubFormula]
p:1583 [in hydras.Ackermann.codeSubFormula]
p:1585 [in hydras.Ackermann.codeSubFormula]
p:1587 [in hydras.Ackermann.codeSubFormula]
p:1589 [in hydras.Ackermann.codeSubFormula]
p:159 [in hydras.Ackermann.checkPrf]
p:1591 [in hydras.Ackermann.codeSubFormula]
p:16 [in hydras.solutions_exercises.FibonacciPR]
p:16 [in hydras.Hydra.Omega2_Small]
p:161 [in hydras.Ackermann.checkPrf]
p:163 [in hydras.Ackermann.checkPrf]
P:163 [in hydras.Ackermann.fol]
p:164 [in hydras.rpo.term]
p:164 [in hydras.Ackermann.checkPrf]
p:165 [in hydras.Ackermann.checkPrf]
p:166 [in hydras.Ackermann.checkPrf]
p:167 [in hydras.Ackermann.checkPrf]
p:168 [in hydras.Ackermann.checkPrf]
p:169 [in hydras.Ackermann.checkPrf]
p:169 [in gaia_hydras.nfwfgaia]
p:17 [in hydras.Prelude.MoreLists]
p:17 [in additions.More_on_positive]
p:17 [in hydras.solutions_exercises.MultisetWf]
p:17 [in additions.fib]
P:17 [in hydras.Prelude.MoreDecidable]
p:17 [in hydras.Schutte.Countable]
p:170 [in hydras.Ackermann.checkPrf]
p:171 [in hydras.Ackermann.checkPrf]
p:172 [in hydras.Ackermann.checkPrf]
p:172 [in hydras.Ackermann.fol]
p:173 [in hydras.Ackermann.checkPrf]
p:174 [in hydras.Ackermann.checkPrf]
p:175 [in hydras.Ackermann.checkPrf]
p:175 [in hydras.rpo.rpo]
p:176 [in hydras.rpo.term]
p:176 [in hydras.Ackermann.checkPrf]
p:176 [in gaia_hydras.T1Bridge]
p:177 [in hydras.Ackermann.checkPrf]
p:178 [in hydras.Ackermann.checkPrf]
p:178 [in hydras.rpo.rpo]
p:179 [in hydras.rpo.term]
p:179 [in hydras.Ackermann.checkPrf]
p:18 [in hydras.Prelude.MoreLists]
p:18 [in additions.Compatibility]
p:18 [in hydras.solutions_exercises.FibonacciPR]
p:180 [in hydras.Ackermann.checkPrf]
p:180 [in gaia_hydras.T1Bridge]
p:180 [in additions.Euclidean_Chains]
p:181 [in hydras.Ackermann.checkPrf]
p:182 [in hydras.Ackermann.checkPrf]
p:1820 [in gaia_hydras.nfwfgaia]
p:1823 [in gaia_hydras.nfwfgaia]
p:1826 [in gaia_hydras.nfwfgaia]
p:1829 [in gaia_hydras.nfwfgaia]
p:183 [in hydras.rpo.term]
p:183 [in hydras.Ackermann.checkPrf]
p:1832 [in gaia_hydras.nfwfgaia]
p:184 [in hydras.Gamma0.Gamma0]
p:185 [in hydras.Ackermann.checkPrf]
p:186 [in hydras.Gamma0.Gamma0]
p:187 [in hydras.Ackermann.checkPrf]
p:189 [in hydras.Ackermann.checkPrf]
P:189 [in hydras.rpo.list_set]
P:19 [in hydras.Prelude.STDPP_compat]
p:19 [in hydras.solutions_exercises.F_3]
p:19 [in Goedel.rosser]
p:190 [in additions.Euclidean_Chains]
p:191 [in hydras.rpo.term]
p:191 [in hydras.Ackermann.checkPrf]
p:192 [in hydras.Ackermann.checkPrf]
p:193 [in hydras.Ackermann.checkPrf]
p:194 [in hydras.Ackermann.checkPrf]
p:195 [in hydras.Ackermann.checkPrf]
p:197 [in hydras.Ackermann.checkPrf]
p:199 [in hydras.Ackermann.checkPrf]
p:2 [in hydras.Prelude.More_Arith]
p:2 [in hydras.Epsilon0.F_omega]
p:2 [in gaia_hydras.onType]
p:2 [in hydras.Prelude.LibHyps_Experiments]
p:2 [in hydras.MoreAck.PrimRecExamples]
p:20 [in hydras.solutions_exercises.FibonacciPR]
p:20 [in gaia_hydras.ON_gfinite]
P:200 [in hydras.Ackermann.fol]
p:201 [in hydras.Ackermann.checkPrf]
p:203 [in hydras.Ackermann.checkPrf]
p:205 [in hydras.Epsilon0.T1]
p:205 [in hydras.Ackermann.checkPrf]
p:206 [in additions.Euclidean_Chains]
p:207 [in hydras.Epsilon0.T1]
p:207 [in hydras.Ackermann.checkPrf]
p:209 [in hydras.Ackermann.checkPrf]
p:21 [in hydras.Prelude.More_Arith]
p:21 [in additions.Compatibility]
p:21 [in hydras.Schutte.GRelations]
p:21 [in hydras.Schutte.Critical]
P:21 [in hydras.Prelude.STDPP_compat]
p:21 [in additions.fib]
p:21 [in hydras.Prelude.Simple_LexProd]
p:210 [in additions.Addition_Chains]
p:211 [in hydras.Ackermann.checkPrf]
p:212 [in hydras.Ackermann.checkPrf]
p:212 [in additions.Addition_Chains]
p:213 [in hydras.Ackermann.checkPrf]
p:213 [in additions.Euclidean_Chains]
p:214 [in hydras.Ackermann.checkPrf]
P:215 [in hydras.rpo.more_list]
p:215 [in hydras.Ackermann.checkPrf]
p:215 [in additions.Addition_Chains]
p:217 [in hydras.Ackermann.checkPrf]
p:217 [in additions.Addition_Chains]
p:219 [in hydras.Ackermann.checkPrf]
P:22 [in hydras.Prelude.DecPreOrder]
P:22 [in hydras.Schutte.MoreEpsilonIota]
p:22 [in gaia_hydras.ON_gfinite]
P:22 [in hydras.rpo.closure]
p:220 [in additions.Euclidean_Chains]
p:220 [in additions.Addition_Chains]
p:221 [in hydras.Ackermann.checkPrf]
p:222 [in additions.Addition_Chains]
p:223 [in hydras.Ackermann.checkPrf]
P:223 [in hydras.Ackermann.fol]
p:224 [in hydras.Ackermann.checkPrf]
P:225 [in hydras.rpo.more_list]
p:225 [in hydras.Ackermann.checkPrf]
p:226 [in hydras.Ackermann.checkPrf]
p:227 [in hydras.Ackermann.checkPrf]
p:228 [in hydras.Ackermann.checkPrf]
p:229 [in hydras.Ackermann.checkPrf]
p:23 [in additions.Compatibility]
P:23 [in hydras.MoreAck.Ack]
P:23 [in hydras.Prelude.STDPP_compat]
p:23 [in additions.fib]
p:23 [in hydras.MoreAck.PrimRecExamples]
p:23 [in hydras.Prelude.Simple_LexProd]
p:23 [in hydras.Schutte.Countable]
p:230 [in hydras.Ackermann.checkPrf]
p:231 [in hydras.Prelude.Iterates]
p:231 [in hydras.Ackermann.checkPrf]
p:235 [in hydras.Ackermann.checkPrf]
p:236 [in hydras.Ackermann.checkPrf]
p:237 [in hydras.Ackermann.checkPrf]
p:238 [in hydras.Ackermann.checkPrf]
p:239 [in hydras.Ackermann.checkPrf]
p:239 [in additions.Addition_Chains]
p:24 [in additions.More_on_positive]
p:24 [in hydras.Schutte.GRelations]
p:240 [in hydras.Ackermann.checkPrf]
p:241 [in hydras.Ackermann.checkPrf]
P:241 [in hydras.Ackermann.fol]
p:241 [in additions.Addition_Chains]
p:242 [in hydras.Ackermann.checkPrf]
p:243 [in hydras.Ackermann.checkPrf]
p:244 [in hydras.Ackermann.checkPrf]
p:245 [in hydras.Ackermann.checkPrf]
p:246 [in hydras.Ackermann.checkPrf]
p:247 [in hydras.Ackermann.checkPrf]
p:248 [in hydras.Ackermann.checkPrf]
p:249 [in hydras.Ackermann.checkPrf]
p:25 [in hydras.Ackermann.checkPrf]
P:25 [in hydras.Schutte.MoreEpsilonIota]
p:25 [in hydras.Schutte.Countable]
p:250 [in hydras.Ackermann.checkPrf]
p:251 [in hydras.Ackermann.checkPrf]
P:252 [in hydras.rpo.more_list]
p:252 [in hydras.Ackermann.checkPrf]
p:253 [in hydras.Ackermann.checkPrf]
p:254 [in hydras.Ackermann.checkPrf]
p:255 [in hydras.Ackermann.checkPrf]
p:255 [in additions.Addition_Chains]
p:256 [in hydras.Ackermann.checkPrf]
p:257 [in hydras.Ackermann.checkPrf]
p:258 [in hydras.Ackermann.checkPrf]
p:259 [in hydras.Ackermann.checkPrf]
p:26 [in additions.AM]
p:26 [in additions.More_on_positive]
P:26 [in hydras.MoreAck.Ack]
p:260 [in hydras.Ackermann.checkPrf]
p:261 [in hydras.Ackermann.checkPrf]
p:262 [in hydras.Ackermann.checkPrf]
p:263 [in hydras.Ackermann.checkPrf]
p:263 [in additions.Addition_Chains]
P:264 [in hydras.rpo.more_list]
p:268 [in hydras.Ackermann.checkPrf]
p:269 [in hydras.Epsilon0.T1]
p:269 [in hydras.Ackermann.checkPrf]
p:269 [in hydras.Gamma0.Gamma0]
p:27 [in hydras.Prelude.Iterates]
p:27 [in hydras.Ackermann.checkPrf]
P:27 [in hydras.Prelude.DecPreOrder]
p:270 [in hydras.Ackermann.checkPrf]
p:270 [in additions.Addition_Chains]
p:271 [in hydras.Ackermann.checkPrf]
p:272 [in hydras.Ackermann.checkPrf]
p:273 [in hydras.Ackermann.checkPrf]
p:273 [in additions.Addition_Chains]
p:274 [in hydras.Ackermann.checkPrf]
p:275 [in hydras.Ackermann.checkPrf]
P:275 [in gaia_hydras.nfwfgaia]
p:276 [in hydras.Ackermann.checkPrf]
p:276 [in additions.Addition_Chains]
p:277 [in hydras.Ackermann.checkPrf]
p:278 [in hydras.Ackermann.checkPrf]
p:279 [in hydras.Ackermann.checkPrf]
P:279 [in gaia_hydras.nfwfgaia]
p:28 [in hydras.Epsilon0.Epsilon0rpo]
p:28 [in hydras.Ackermann.checkPrf]
p:28 [in hydras.Schutte.GRelations]
P:280 [in hydras.Epsilon0.T1]
p:280 [in hydras.Ackermann.checkPrf]
p:281 [in hydras.Ackermann.checkPrf]
p:282 [in hydras.Ackermann.checkPrf]
p:283 [in hydras.Ackermann.checkPrf]
p:283 [in additions.Addition_Chains]
p:284 [in hydras.Ackermann.checkPrf]
p:284 [in additions.Addition_Chains]
p:285 [in hydras.Ackermann.checkPrf]
p:285 [in hydras.Ackermann.fol]
p:285 [in additions.Addition_Chains]
p:286 [in hydras.Ackermann.subAll]
p:286 [in hydras.Ackermann.checkPrf]
p:286 [in additions.Addition_Chains]
p:287 [in hydras.Ackermann.checkPrf]
p:287 [in additions.Addition_Chains]
p:288 [in hydras.Ackermann.checkPrf]
p:289 [in hydras.Ackermann.checkPrf]
P:289 [in gaia_hydras.nfwfgaia]
p:29 [in hydras.Ackermann.checkPrf]
p:29 [in hydras.MoreAck.Ack]
p:290 [in hydras.Ackermann.checkPrf]
p:291 [in hydras.Ackermann.subAll]
p:291 [in hydras.Ackermann.checkPrf]
P:291 [in hydras.Ackermann.fol]
p:292 [in hydras.Ackermann.checkPrf]
p:293 [in hydras.Ackermann.checkPrf]
p:294 [in hydras.Ackermann.checkPrf]
p:295 [in hydras.Ackermann.checkPrf]
p:296 [in hydras.Ackermann.checkPrf]
p:297 [in hydras.Ackermann.checkPrf]
p:298 [in hydras.Ackermann.checkPrf]
P:299 [in Goedel.PRrepresentable]
p:299 [in hydras.Ackermann.checkPrf]
p:3 [in hydras.Prelude.More_Arith]
p:3 [in additions.Strategies]
P:3 [in hydras.Schutte.MoreEpsilonIota]
p:3 [in hydras.solutions_exercises.MorePRExamples]
p:3 [in additions.BinaryStrat]
p:3 [in hydras.Hydra.Omega2_Small]
P:3 [in hydras.solutions_exercises.isqrt]
p:30 [in hydras.Ackermann.checkPrf]
p:30 [in Goedel.rosserPA]
p:300 [in hydras.Ackermann.checkPrf]
p:300 [in additions.Euclidean_Chains]
p:301 [in hydras.Ackermann.checkPrf]
p:302 [in hydras.Ackermann.checkPrf]
p:303 [in hydras.Ackermann.checkPrf]
p:304 [in hydras.Ackermann.checkPrf]
p:305 [in hydras.Ackermann.checkPrf]
p:306 [in hydras.Ackermann.checkPrf]
p:307 [in hydras.Ackermann.checkPrf]
p:308 [in hydras.Ackermann.checkPrf]
p:309 [in hydras.Ackermann.checkPrf]
p:31 [in hydras.Prelude.Iterates]
p:31 [in hydras.Ackermann.checkPrf]
p:31 [in additions.More_on_positive]
p:31 [in hydras.MoreAck.Ack]
p:31 [in additions.Dichotomy]
p:310 [in hydras.Ackermann.checkPrf]
p:311 [in hydras.Ackermann.checkPrf]
p:312 [in hydras.rpo.term]
p:312 [in hydras.Ackermann.checkPrf]
p:313 [in hydras.Ackermann.checkPrf]
p:314 [in hydras.Ackermann.checkPrf]
p:315 [in hydras.Ackermann.checkPrf]
p:316 [in hydras.Ackermann.checkPrf]
p:316 [in additions.Euclidean_Chains]
p:316 [in hydras.rpo.rpo]
p:317 [in hydras.rpo.term]
p:32 [in hydras.Ackermann.checkPrf]
P:32 [in hydras.Prelude.Sort_spec]
p:32 [in hydras.Schutte.GRelations]
p:32 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:32 [in additions.Euclidean_Chains]
p:32 [in additions.Dichotomy]
p:320 [in hydras.Ackermann.checkPrf]
p:321 [in hydras.Ackermann.checkPrf]
p:322 [in hydras.Ackermann.checkPrf]
p:322 [in additions.Euclidean_Chains]
p:323 [in hydras.rpo.term]
p:323 [in hydras.Ackermann.checkPrf]
p:324 [in hydras.Ackermann.checkPrf]
p:325 [in hydras.rpo.term]
p:325 [in hydras.Ackermann.checkPrf]
p:326 [in hydras.Ackermann.checkPrf]
p:327 [in hydras.Ackermann.checkPrf]
p:328 [in hydras.Ackermann.checkPrf]
p:329 [in hydras.rpo.term]
p:329 [in hydras.Ackermann.checkPrf]
p:329 [in hydras.Epsilon0.Paths]
p:33 [in hydras.Ackermann.checkPrf]
p:33 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:33 [in Goedel.codeSysPrf]
p:33 [in additions.Dichotomy]
p:33 [in gaia_hydras.nfwfgaia]
p:330 [in hydras.Ackermann.checkPrf]
p:331 [in hydras.Ackermann.checkPrf]
p:332 [in hydras.Ackermann.checkPrf]
p:333 [in hydras.Ackermann.checkPrf]
p:334 [in hydras.Ackermann.checkPrf]
p:334 [in additions.Euclidean_Chains]
p:335 [in hydras.Ackermann.checkPrf]
p:336 [in hydras.Ackermann.checkPrf]
p:337 [in hydras.Ackermann.checkPrf]
P:337 [in hydras.Ackermann.fol]
p:338 [in hydras.Ackermann.checkPrf]
p:339 [in hydras.Ackermann.checkPrf]
p:34 [in hydras.Ackermann.checkPrf]
p:34 [in additions.More_on_positive]
p:34 [in additions.Dichotomy]
p:340 [in hydras.Ackermann.checkPrf]
p:341 [in hydras.Ackermann.checkPrf]
p:342 [in hydras.rpo.term]
p:342 [in hydras.Ackermann.checkPrf]
p:343 [in hydras.Ackermann.checkPrf]
p:344 [in hydras.Ackermann.checkPrf]
p:345 [in hydras.Ackermann.checkPrf]
p:346 [in hydras.Ackermann.checkPrf]
p:347 [in hydras.Ackermann.checkPrf]
p:348 [in hydras.Ackermann.checkPrf]
p:349 [in hydras.Ackermann.checkPrf]
p:35 [in hydras.Ackermann.checkPrf]
p:35 [in hydras.Ackermann.fol]
p:35 [in additions.Dichotomy]
p:350 [in hydras.Ackermann.checkPrf]
p:351 [in hydras.Ackermann.checkPrf]
p:352 [in hydras.Ackermann.checkPrf]
p:355 [in hydras.rpo.term]
p:357 [in hydras.rpo.term]
p:357 [in hydras.Ackermann.checkPrf]
p:358 [in hydras.Ackermann.checkPrf]
p:359 [in hydras.Ackermann.checkPrf]
p:36 [in additions.Pow_variant]
p:36 [in hydras.Ackermann.checkPrf]
p:36 [in additions.Pow]
p:36 [in additions.More_on_positive]
p:36 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
p:36 [in additions.Dichotomy]
p:360 [in hydras.Ackermann.checkPrf]
p:361 [in hydras.Ackermann.checkPrf]
p:362 [in hydras.rpo.term]
p:362 [in hydras.Ackermann.checkPrf]
p:363 [in hydras.Ackermann.checkPrf]
p:363 [in hydras.Epsilon0.Paths]
p:364 [in hydras.Ackermann.checkPrf]
p:365 [in hydras.Ackermann.checkPrf]
p:366 [in hydras.Ackermann.checkPrf]
p:367 [in hydras.Ackermann.checkPrf]
p:368 [in hydras.Ackermann.checkPrf]
p:369 [in hydras.Ackermann.checkPrf]
p:37 [in hydras.Ackermann.checkPrf]
P:37 [in hydras.Prelude.DecPreOrder]
p:37 [in hydras.MoreAck.Ack]
p:37 [in additions.Dichotomy]
p:370 [in hydras.Ackermann.checkPrf]
p:371 [in hydras.Ackermann.checkPrf]
p:372 [in hydras.Ackermann.checkPrf]
p:373 [in hydras.rpo.term]
p:373 [in hydras.Ackermann.checkPrf]
p:374 [in hydras.Ackermann.checkPrf]
p:375 [in hydras.Ackermann.checkPrf]
p:375 [in additions.Euclidean_Chains]
p:376 [in hydras.Ackermann.checkPrf]
p:377 [in hydras.Ackermann.checkPrf]
p:378 [in hydras.Ackermann.checkPrf]
p:379 [in hydras.Ackermann.checkPrf]
p:38 [in hydras.Ackermann.checkPrf]
P:38 [in additions.More_on_positive]
p:38 [in hydras.Ackermann.fol]
P:38 [in hydras.rpo.list_set]
p:38 [in additions.Dichotomy]
p:380 [in hydras.Ackermann.checkPrf]
p:381 [in hydras.Ackermann.checkPrf]
P:381 [in hydras.Ackermann.fol]
p:382 [in hydras.Ackermann.checkPrf]
p:382 [in additions.Euclidean_Chains]
p:383 [in hydras.Ackermann.checkPrf]
p:384 [in hydras.Ackermann.checkPrf]
p:384 [in additions.Euclidean_Chains]
p:385 [in hydras.Ackermann.checkPrf]
p:386 [in hydras.Ackermann.checkPrf]
p:387 [in hydras.Ackermann.checkPrf]
p:388 [in hydras.Ackermann.checkPrf]
p:389 [in hydras.Ackermann.checkPrf]
p:39 [in hydras.Prelude.DecPreOrder_Instances]
p:39 [in additions.Compatibility]
p:39 [in hydras.Ackermann.checkPrf]
p:39 [in additions.More_on_positive]
p:39 [in additions.Dichotomy]
p:390 [in hydras.Ackermann.checkPrf]
p:390 [in additions.Euclidean_Chains]
p:391 [in hydras.Ackermann.checkPrf]
p:392 [in hydras.Ackermann.checkPrf]
p:395 [in hydras.Ackermann.checkPrf]
p:396 [in hydras.Ackermann.checkPrf]
p:397 [in additions.Euclidean_Chains]
p:398 [in hydras.Epsilon0.Paths]
p:399 [in hydras.Ackermann.checkPrf]
P:4 [in additions.Fib2]
p:4 [in additions.More_on_positive]
p:4 [in hydras.Epsilon0.F_omega]
p:4 [in hydras.solutions_exercises.FibonacciPR]
p:4 [in additions.Dichotomy]
p:40 [in hydras.Prelude.More_Arith]
p:40 [in hydras.Ackermann.checkPrf]
p:40 [in additions.More_on_positive]
p:40 [in additions.Naive]
P:40 [in hydras.Schutte.Schutte_basics]
p:40 [in additions.Dichotomy]
p:400 [in hydras.Ackermann.checkPrf]
p:401 [in hydras.Ackermann.checkPrf]
p:402 [in hydras.Ackermann.checkPrf]
p:403 [in hydras.Ackermann.checkPrf]
p:404 [in hydras.Ackermann.checkPrf]
p:405 [in hydras.Ackermann.checkPrf]
p:409 [in hydras.Ackermann.checkPrf]
p:41 [in hydras.Ackermann.checkPrf]
P:41 [in hydras.Prelude.Sort_spec]
P:41 [in hydras.Prelude.DecPreOrder]
p:41 [in additions.More_on_positive]
p:41 [in hydras.Ackermann.fol]
p:41 [in additions.Dichotomy]
P:410 [in hydras.Epsilon0.T1]
p:410 [in hydras.Ackermann.checkPrf]
p:411 [in hydras.Ackermann.checkPrf]
p:412 [in hydras.Ackermann.checkPrf]
p:413 [in hydras.Ackermann.checkPrf]
p:414 [in hydras.Ackermann.checkPrf]
p:415 [in hydras.Ackermann.checkPrf]
p:416 [in hydras.Ackermann.checkPrf]
p:417 [in hydras.Ackermann.checkPrf]
p:418 [in hydras.Ackermann.checkPrf]
p:419 [in hydras.Ackermann.checkPrf]
p:42 [in hydras.Prelude.More_Arith]
p:42 [in hydras.Ackermann.checkPrf]
p:42 [in additions.Dichotomy]
p:42 [in hydras.MoreAck.PrimRecExamples]
p:420 [in hydras.Ackermann.checkPrf]
p:421 [in hydras.Ackermann.checkPrf]
p:422 [in hydras.Ackermann.checkPrf]
p:423 [in hydras.Ackermann.checkPrf]
p:424 [in hydras.Ackermann.checkPrf]
p:425 [in hydras.Ackermann.checkPrf]
p:426 [in hydras.Ackermann.checkPrf]
p:427 [in hydras.Ackermann.checkPrf]
P:427 [in hydras.Ackermann.fol]
p:428 [in hydras.Ackermann.checkPrf]
p:429 [in hydras.Ackermann.checkPrf]
p:43 [in hydras.Ackermann.checkPrf]
p:43 [in additions.Dichotomy]
p:43 [in hydras.Prelude.MoreVectors]
p:430 [in hydras.Ackermann.checkPrf]
p:431 [in hydras.Ackermann.checkPrf]
p:432 [in hydras.Ackermann.checkPrf]
p:433 [in hydras.Ackermann.checkPrf]
p:434 [in hydras.Ackermann.checkPrf]
p:435 [in hydras.Ackermann.checkPrf]
P:435 [in hydras.Ackermann.fol]
p:436 [in hydras.Ackermann.checkPrf]
p:437 [in hydras.Ackermann.checkPrf]
p:438 [in hydras.Ackermann.checkPrf]
p:439 [in hydras.Ackermann.checkPrf]
P:44 [in hydras.Schutte.AP]
p:44 [in hydras.Ackermann.fol]
P:44 [in hydras.rpo.list_set]
p:440 [in hydras.Ackermann.checkPrf]
p:441 [in hydras.Ackermann.checkPrf]
p:442 [in hydras.Ackermann.checkPrf]
P:442 [in hydras.Gamma0.Gamma0]
p:443 [in hydras.Ackermann.checkPrf]
p:444 [in hydras.Ackermann.checkPrf]
P:446 [in hydras.Gamma0.Gamma0]
p:447 [in hydras.Ackermann.checkPrf]
p:448 [in hydras.Ackermann.checkPrf]
p:45 [in hydras.Prelude.More_Arith]
p:45 [in additions.Pow_variant]
p:45 [in hydras.Ackermann.checkPrf]
p:45 [in additions.Pow]
p:451 [in hydras.Ackermann.checkPrf]
p:456 [in hydras.Ackermann.checkPrf]
p:457 [in hydras.Ackermann.checkPrf]
p:458 [in hydras.Ackermann.checkPrf]
p:459 [in hydras.Ackermann.checkPrf]
p:46 [in additions.FirstSteps]
p:460 [in hydras.Ackermann.checkPrf]
p:461 [in hydras.Ackermann.checkPrf]
p:462 [in hydras.Ackermann.checkPrf]
p:463 [in hydras.Ackermann.checkPrf]
p:464 [in hydras.Ackermann.checkPrf]
p:465 [in hydras.Ackermann.checkPrf]
p:466 [in hydras.Ackermann.checkPrf]
p:467 [in hydras.Ackermann.checkPrf]
p:468 [in hydras.Ackermann.checkPrf]
p:469 [in hydras.Ackermann.checkPrf]
p:47 [in hydras.Ackermann.checkPrf]
p:47 [in hydras.solutions_exercises.MultisetWf]
p:47 [in hydras.Ackermann.fol]
p:470 [in hydras.Ackermann.checkPrf]
p:471 [in hydras.Ackermann.checkPrf]
P:471 [in hydras.Gamma0.Gamma0]
p:472 [in hydras.Ackermann.checkPrf]
p:472 [in additions.Euclidean_Chains]
p:473 [in hydras.Ackermann.checkPrf]
p:474 [in hydras.Ackermann.checkPrf]
p:475 [in Goedel.PRrepresentable]
p:475 [in hydras.Ackermann.checkPrf]
p:475 [in gaia_hydras.nfwfgaia]
p:476 [in hydras.Ackermann.checkPrf]
p:477 [in hydras.Ackermann.checkPrf]
p:478 [in hydras.Ackermann.checkPrf]
p:478 [in gaia_hydras.nfwfgaia]
p:479 [in hydras.Ackermann.checkPrf]
p:48 [in hydras.Schutte.Correctness_E0]
p:48 [in additions.FirstSteps]
p:48 [in hydras.MoreAck.Ack]
P:48 [in hydras.rpo.list_set]
p:480 [in hydras.Ackermann.checkPrf]
p:481 [in hydras.Ackermann.checkPrf]
p:481 [in gaia_hydras.nfwfgaia]
p:482 [in hydras.Ackermann.checkPrf]
p:483 [in hydras.Ackermann.checkPrf]
p:484 [in hydras.Ackermann.checkPrf]
p:484 [in gaia_hydras.nfwfgaia]
p:485 [in hydras.Ackermann.checkPrf]
p:487 [in gaia_hydras.nfwfgaia]
p:488 [in hydras.Ackermann.checkPrf]
p:489 [in hydras.Ackermann.checkPrf]
p:49 [in hydras.Ackermann.checkPrf]
P:49 [in hydras.Prelude.MoreVectors]
p:492 [in hydras.Ackermann.checkPrf]
p:493 [in hydras.Ackermann.checkPrf]
p:494 [in hydras.Ackermann.checkPrf]
p:495 [in hydras.Ackermann.checkPrf]
p:496 [in hydras.Ackermann.checkPrf]
p:497 [in hydras.Ackermann.checkPrf]
p:498 [in hydras.Ackermann.checkPrf]
p:499 [in hydras.Ackermann.checkPrf]
p:5 [in hydras.Prelude.First_toggle]
p:5 [in additions.Strategies]
p:5 [in additions.More_on_positive]
p:5 [in hydras.Epsilon0.F_omega]
p:5 [in hydras.Prelude.LibHyps_Experiments]
p:5 [in additions.Dichotomy]
p:50 [in hydras.Prelude.More_Arith]
p:50 [in hydras.Ackermann.fol]
p:500 [in hydras.Ackermann.checkPrf]
p:501 [in hydras.Ackermann.checkPrf]
P:502 [in gaia_hydras.nfwfgaia]
p:504 [in hydras.Ackermann.checkPrf]
p:505 [in hydras.Ackermann.checkPrf]
P:505 [in gaia_hydras.nfwfgaia]
p:507 [in hydras.Epsilon0.T1]
p:508 [in hydras.Ackermann.checkPrf]
P:508 [in gaia_hydras.nfwfgaia]
p:509 [in hydras.Ackermann.checkPrf]
p:51 [in hydras.Ackermann.checkPrf]
P:51 [in hydras.Prelude.DecPreOrder]
P:51 [in hydras.Schutte.Schutte_basics]
P:51 [in hydras.rpo.list_set]
p:512 [in hydras.Epsilon0.T1]
p:512 [in hydras.Ackermann.checkPrf]
p:513 [in hydras.Ackermann.checkPrf]
p:516 [in hydras.Ackermann.checkPrf]
p:519 [in hydras.Ackermann.checkPrf]
p:52 [in hydras.Prelude.Iterates]
p:52 [in hydras.Ackermann.code]
p:521 [in hydras.Ackermann.checkPrf]
p:522 [in hydras.Ackermann.checkPrf]
p:523 [in hydras.Ackermann.checkPrf]
p:524 [in hydras.Ackermann.checkPrf]
p:525 [in hydras.Ackermann.checkPrf]
p:526 [in hydras.Ackermann.checkPrf]
p:527 [in hydras.Ackermann.checkPrf]
p:528 [in hydras.Ackermann.checkPrf]
p:528 [in hydras.Epsilon0.Paths]
p:529 [in hydras.Ackermann.checkPrf]
p:53 [in hydras.OrdinalNotations.ON_Omega2]
p:53 [in hydras.Ackermann.checkPrf]
p:530 [in hydras.Ackermann.checkPrf]
p:531 [in hydras.Ackermann.checkPrf]
p:532 [in hydras.Ackermann.checkPrf]
p:533 [in hydras.Ackermann.checkPrf]
p:535 [in hydras.Ackermann.checkPrf]
p:54 [in hydras.solutions_exercises.MultisetWf]
P:54 [in hydras.rpo.list_set]
p:540 [in hydras.Gamma0.Gamma0]
p:546 [in hydras.Epsilon0.T1]
p:546 [in hydras.Gamma0.Gamma0]
p:549 [in hydras.Gamma0.Gamma0]
p:55 [in hydras.OrdinalNotations.ON_Omega2]
p:55 [in hydras.Ackermann.checkPrf]
P:55 [in hydras.Prelude.MoreVectors]
p:552 [in hydras.Gamma0.Gamma0]
p:56 [in hydras.Prelude.More_Arith]
p:56 [in hydras.Prelude.Iterates]
P:56 [in hydras.Prelude.DecPreOrder]
p:561 [in hydras.Epsilon0.T1]
p:566 [in hydras.Epsilon0.T1]
p:57 [in hydras.Ackermann.checkPrf]
p:57 [in hydras.solutions_exercises.MultisetWf]
p:58 [in hydras.MoreAck.Ack]
P:58 [in hydras.rpo.list_set]
p:59 [in hydras.Ackermann.checkPrf]
p:59 [in gaia_hydras.nfwfgaia]
p:596 [in hydras.Epsilon0.T1]
P:6 [in hydras.Prelude.Compat815]
p:6 [in additions.More_on_positive]
p:6 [in hydras.solutions_exercises.FibonacciPR]
P:6 [in hydras.Prelude.MoreDecidable]
p:60 [in Goedel.codeSysPrf]
p:600 [in hydras.Epsilon0.T1]
p:605 [in hydras.Epsilon0.T1]
p:607 [in hydras.Ackermann.primRec]
P:607 [in hydras.Gamma0.Gamma0]
p:608 [in hydras.Epsilon0.T1]
p:61 [in hydras.Ackermann.checkPrf]
P:61 [in hydras.Prelude.DecPreOrder]
p:610 [in hydras.Ackermann.primRec]
p:612 [in hydras.Epsilon0.T1]
P:612 [in hydras.Gamma0.Gamma0]
p:615 [in hydras.Epsilon0.T1]
P:615 [in hydras.Gamma0.Gamma0]
P:62 [in hydras.rpo.list_set]
p:622 [in hydras.Ackermann.primRec]
p:624 [in hydras.Epsilon0.T1]
p:63 [in additions.Pow_variant]
p:63 [in hydras.Ackermann.checkPrf]
p:63 [in additions.Pow]
p:63 [in additions.More_on_positive]
p:630 [in hydras.Epsilon0.T1]
p:638 [in hydras.Ackermann.primRec]
P:64 [in hydras.rpo.more_list]
p:64 [in hydras.Ackermann.fol]
p:64 [in additions.fib]
p:64 [in hydras.rpo.dickson]
p:643 [in hydras.Ackermann.primRec]
p:65 [in hydras.Ackermann.checkPrf]
p:65 [in hydras.MoreAck.Ack]
p:650 [in hydras.Ackermann.checkPrf]
p:650 [in gaia_hydras.nfwfgaia]
p:66 [in additions.Pow_variant]
p:66 [in hydras.Ackermann.checkPrf]
p:66 [in additions.Pow]
P:66 [in hydras.Prelude.DecPreOrder]
P:66 [in hydras.rpo.list_set]
p:665 [in hydras.Ackermann.primRec]
p:67 [in hydras.Ackermann.checkPrf]
p:679 [in hydras.Ackermann.checkPrf]
p:68 [in hydras.Ackermann.checkPrf]
p:68 [in hydras.MoreAck.Ack]
p:680 [in hydras.Ackermann.checkPrf]
p:681 [in hydras.Ackermann.checkPrf]
p:682 [in hydras.Ackermann.checkPrf]
p:683 [in hydras.Ackermann.checkPrf]
p:684 [in hydras.Ackermann.checkPrf]
p:685 [in hydras.Ackermann.checkPrf]
p:686 [in hydras.Ackermann.checkPrf]
p:687 [in hydras.Ackermann.checkPrf]
p:688 [in hydras.Ackermann.checkPrf]
p:689 [in hydras.Ackermann.checkPrf]
p:69 [in hydras.Ackermann.checkPrf]
p:690 [in hydras.Ackermann.checkPrf]
p:691 [in hydras.Ackermann.checkPrf]
p:692 [in hydras.Ackermann.checkPrf]
p:693 [in hydras.Ackermann.checkPrf]
p:694 [in hydras.Ackermann.checkPrf]
p:695 [in hydras.Ackermann.checkPrf]
p:696 [in hydras.Ackermann.checkPrf]
p:697 [in hydras.Ackermann.checkPrf]
p:698 [in hydras.Ackermann.checkPrf]
p:699 [in hydras.Ackermann.checkPrf]
p:7 [in hydras.Epsilon0.F_omega]
p:7 [in hydras.solutions_exercises.FibonacciPR]
p:7 [in additions.Dichotomy]
p:7 [in hydras.Prelude.Simple_LexProd]
p:70 [in additions.AM]
P:70 [in hydras.Epsilon0.Epsilon0rpo]
p:70 [in hydras.Ackermann.checkPrf]
p:70 [in hydras.Ackermann.codeSubFormula]
p:70 [in additions.fib]
p:700 [in hydras.Ackermann.checkPrf]
P:700 [in hydras.Ackermann.primRec]
p:701 [in hydras.Ackermann.checkPrf]
p:702 [in hydras.Ackermann.checkPrf]
p:703 [in hydras.Ackermann.checkPrf]
p:704 [in hydras.Ackermann.checkPrf]
p:705 [in hydras.Ackermann.checkPrf]
P:705 [in hydras.Ackermann.primRec]
p:706 [in hydras.Ackermann.checkPrf]
p:706 [in gaia_hydras.nfwfgaia]
p:707 [in hydras.Ackermann.checkPrf]
p:708 [in hydras.Ackermann.checkPrf]
p:709 [in hydras.Ackermann.checkPrf]
p:71 [in additions.Pow_variant]
p:71 [in hydras.Ackermann.checkPrf]
p:71 [in additions.Pow]
p:71 [in hydras.Ackermann.fol]
p:71 [in hydras.Schutte.Addition]
p:710 [in hydras.Ackermann.checkPrf]
p:711 [in hydras.Ackermann.checkPrf]
P:711 [in hydras.Ackermann.primRec]
p:712 [in hydras.Ackermann.checkPrf]
p:713 [in hydras.Ackermann.checkPrf]
p:714 [in hydras.Ackermann.checkPrf]
P:714 [in hydras.Ackermann.primRec]
p:715 [in hydras.Ackermann.checkPrf]
p:716 [in hydras.Ackermann.checkPrf]
P:716 [in hydras.Ackermann.primRec]
p:716 [in gaia_hydras.nfwfgaia]
p:717 [in hydras.Ackermann.checkPrf]
P:717 [in hydras.Ackermann.primRec]
p:718 [in hydras.Ackermann.checkPrf]
P:718 [in hydras.Ackermann.primRec]
p:719 [in hydras.Ackermann.checkPrf]
p:72 [in hydras.Prelude.MoreLists]
p:72 [in hydras.Ackermann.checkPrf]
P:72 [in hydras.Prelude.DecPreOrder]
p:720 [in hydras.Ackermann.checkPrf]
p:721 [in hydras.Ackermann.checkPrf]
p:722 [in hydras.Ackermann.checkPrf]
p:723 [in hydras.Ackermann.checkPrf]
p:724 [in hydras.Ackermann.checkPrf]
p:725 [in hydras.Ackermann.checkPrf]
p:726 [in hydras.Ackermann.checkPrf]
p:727 [in hydras.Ackermann.checkPrf]
p:728 [in hydras.Ackermann.checkPrf]
p:729 [in hydras.Ackermann.checkPrf]
p:73 [in hydras.Ackermann.checkPrf]
p:732 [in hydras.Ackermann.checkPrf]
p:733 [in hydras.Ackermann.checkPrf]
p:734 [in hydras.Epsilon0.T1]
p:734 [in hydras.Ackermann.checkPrf]
p:735 [in hydras.Ackermann.checkPrf]
p:736 [in hydras.Ackermann.checkPrf]
p:737 [in hydras.Ackermann.checkPrf]
p:738 [in hydras.Ackermann.checkPrf]
p:739 [in hydras.Ackermann.checkPrf]
P:74 [in hydras.Epsilon0.Epsilon0rpo]
P:74 [in hydras.rpo.more_list]
p:74 [in additions.Pow]
p:74 [in hydras.Schutte.Addition]
p:740 [in hydras.Ackermann.checkPrf]
p:741 [in hydras.Ackermann.checkPrf]
p:742 [in hydras.Ackermann.checkPrf]
p:743 [in hydras.Ackermann.checkPrf]
p:744 [in hydras.Ackermann.checkPrf]
p:745 [in hydras.Ackermann.checkPrf]
p:746 [in hydras.Ackermann.checkPrf]
p:747 [in hydras.Ackermann.checkPrf]
p:748 [in hydras.Ackermann.checkPrf]
p:749 [in hydras.Ackermann.checkPrf]
p:75 [in hydras.OrdinalNotations.ON_Omega2]
p:75 [in additions.Pow_variant]
p:75 [in hydras.Ackermann.checkPrf]
p:75 [in hydras.Ackermann.codeSubFormula]
p:750 [in hydras.Ackermann.checkPrf]
p:751 [in hydras.Ackermann.checkPrf]
p:752 [in hydras.Ackermann.checkPrf]
p:753 [in hydras.Ackermann.checkPrf]
p:754 [in hydras.Ackermann.checkPrf]
p:755 [in hydras.Ackermann.checkPrf]
p:758 [in hydras.Ackermann.checkPrf]
p:759 [in hydras.Ackermann.checkPrf]
P:76 [in hydras.Prelude.Sort_spec]
p:76 [in additions.Euclidean_Chains]
p:76 [in hydras.Hydra.BigBattle]
p:76 [in hydras.Epsilon0.Hprime]
p:762 [in hydras.Ackermann.checkPrf]
p:763 [in hydras.Ackermann.checkPrf]
p:764 [in hydras.Ackermann.checkPrf]
p:765 [in hydras.Ackermann.checkPrf]
p:766 [in hydras.Ackermann.checkPrf]
p:767 [in hydras.Ackermann.checkPrf]
p:768 [in hydras.Ackermann.checkPrf]
p:769 [in hydras.Ackermann.checkPrf]
p:77 [in hydras.Prelude.MoreLists]
p:77 [in hydras.Ackermann.checkPrf]
p:77 [in additions.Addition_Chains]
p:770 [in hydras.Ackermann.checkPrf]
p:771 [in hydras.Ackermann.checkPrf]
p:772 [in hydras.Ackermann.checkPrf]
p:773 [in hydras.Ackermann.checkPrf]
p:774 [in hydras.Ackermann.checkPrf]
p:775 [in hydras.Ackermann.checkPrf]
p:776 [in hydras.Ackermann.checkPrf]
p:777 [in hydras.Ackermann.checkPrf]
p:778 [in hydras.Ackermann.checkPrf]
p:779 [in hydras.Ackermann.checkPrf]
p:78 [in additions.Pow_variant]
p:78 [in additions.Pow]
P:78 [in hydras.Prelude.DecPreOrder]
p:78 [in additions.Euclidean_Chains]
p:78 [in hydras.Schutte.PartialFun]
p:78 [in Goedel.codeSysPrf]
p:78 [in hydras.Epsilon0.Hprime]
p:780 [in hydras.Ackermann.checkPrf]
p:781 [in hydras.Ackermann.checkPrf]
p:782 [in hydras.Ackermann.checkPrf]
p:783 [in hydras.Ackermann.checkPrf]
p:784 [in hydras.Ackermann.checkPrf]
p:785 [in hydras.Ackermann.checkPrf]
p:79 [in hydras.Ackermann.checkPrf]
p:79 [in additions.Addition_Chains]
p:790 [in hydras.Ackermann.checkPrf]
p:797 [in hydras.Ackermann.checkPrf]
p:8 [in gaia_hydras.T1Choice]
p:8 [in hydras.OrdinalNotations.ON_Omega2]
p:8 [in additions.Fib2]
p:8 [in additions.More_on_positive]
P:8 [in hydras.Schutte.MoreEpsilonIota]
P:8 [in hydras.Hydra.Hydra_Definitions]
p:80 [in additions.AM]
p:80 [in hydras.Prelude.MoreLists]
p:80 [in hydras.Ackermann.folProp]
p:803 [in hydras.Ackermann.checkPrf]
p:81 [in hydras.Ackermann.checkPrf]
p:81 [in additions.Pow]
p:81 [in hydras.MoreAck.Ack]
p:813 [in hydras.Ackermann.checkPrf]
p:815 [in hydras.Ackermann.checkPrf]
p:817 [in hydras.Ackermann.checkPrf]
p:818 [in hydras.Ackermann.checkPrf]
p:819 [in hydras.Ackermann.checkPrf]
p:82 [in hydras.Ackermann.checkPrf]
p:82 [in hydras.Ackermann.codeSubFormula]
p:82 [in hydras.Epsilon0.Hprime]
p:820 [in hydras.Ackermann.checkPrf]
p:822 [in hydras.Ackermann.checkPrf]
p:824 [in hydras.Ackermann.checkPrf]
p:826 [in hydras.Ackermann.checkPrf]
p:828 [in hydras.Ackermann.checkPrf]
p:83 [in hydras.Ackermann.checkPrf]
P:83 [in hydras.Prelude.DecPreOrder]
p:830 [in hydras.Ackermann.checkPrf]
p:832 [in hydras.Ackermann.checkPrf]
p:834 [in hydras.Ackermann.checkPrf]
p:837 [in hydras.Ackermann.checkPrf]
p:84 [in hydras.Ackermann.checkPrf]
p:84 [in additions.fib]
p:848 [in hydras.Ackermann.checkPrf]
p:85 [in hydras.Ackermann.checkPrf]
p:85 [in hydras.Ackermann.codeSubFormula]
p:85 [in Goedel.codeSysPrf]
P:85 [in hydras.Prelude.MoreVectors]
p:850 [in gaia_hydras.nfwfgaia]
p:86 [in hydras.Ackermann.checkPrf]
P:86 [in hydras.Prelude.DecPreOrder]
p:86 [in hydras.Epsilon0.Large_Sets]
p:86 [in hydras.MoreAck.Ack]
p:86 [in hydras.Ackermann.primRec]
p:86 [in additions.fib]
p:861 [in hydras.Ackermann.checkPrf]
p:866 [in hydras.Ackermann.checkPrf]
p:867 [in hydras.Ackermann.checkPrf]
p:869 [in hydras.Ackermann.checkPrf]
p:87 [in hydras.Prelude.MoreLists]
p:87 [in hydras.Ackermann.checkPrf]
p:87 [in additions.Pow]
p:872 [in hydras.Ackermann.checkPrf]
p:875 [in hydras.Ackermann.checkPrf]
p:879 [in hydras.Ackermann.checkPrf]
p:88 [in additions.Pow_variant]
p:88 [in hydras.Ackermann.checkPrf]
p:88 [in hydras.rpo.rpo]
p:882 [in hydras.Ackermann.checkPrf]
p:89 [in hydras.Ackermann.checkPrf]
P:89 [in hydras.Prelude.MoreVectors]
p:9 [in hydras.MoreAck.expressibleExamples]
p:9 [in additions.Strategies]
p:9 [in hydras.Epsilon0.F_omega]
p:9 [in hydras.solutions_exercises.FibonacciPR]
p:9 [in additions.Naive]
P:9 [in hydras.Prelude.STDPP_compat]
p:9 [in additions.Dichotomy]
p:90 [in hydras.Ackermann.checkPrf]
p:90 [in hydras.Ackermann.codeSubFormula]
p:90 [in Goedel.codeSysPrf]
p:91 [in hydras.Ackermann.checkPrf]
p:91 [in additions.Pow]
p:91 [in additions.fib]
p:92 [in hydras.Ackermann.checkPrf]
p:93 [in hydras.Ackermann.checkPrf]
p:937 [in gaia_hydras.nfwfgaia]
p:94 [in hydras.Ackermann.checkPrf]
p:94 [in additions.Pow]
p:94 [in Goedel.codeSysPrf]
p:95 [in hydras.Ackermann.checkPrf]
p:951 [in gaia_hydras.nfwfgaia]
p:953 [in gaia_hydras.nfwfgaia]
p:96 [in hydras.Prelude.MoreLists]
p:96 [in hydras.Ackermann.checkPrf]
p:96 [in additions.fib]
p:97 [in hydras.Ackermann.checkPrf]
p:97 [in additions.Pow]
p:99 [in hydras.Prelude.MoreLists]
p:99 [in hydras.Ackermann.checkPrf]
p:99 [in hydras.Ackermann.folProp]

Q

q':11 [in hydras.Prelude.First_toggle]
q':30 [in hydras.Prelude.More_Arith]
q':36 [in hydras.Prelude.More_Arith]
q':59 [in hydras.Prelude.More_Arith]
q':67 [in hydras.rpo.dickson]
q:10 [in additions.Strategies]
q:100 [in hydras.Ackermann.codeSubFormula]
q:101 [in hydras.Prelude.MoreLists]
q:101 [in hydras.Ackermann.codeSubFormula]
q:105 [in hydras.Ackermann.codeSubFormula]
q:106 [in hydras.Ackermann.codeSubFormula]
q:107 [in hydras.Ackermann.folProp]
q:108 [in hydras.Ackermann.folProp]
q:113 [in hydras.Ackermann.codeSubFormula]
q:114 [in hydras.Ackermann.fol]
Q:114 [in gaia_hydras.nfwfgaia]
q:115 [in hydras.Ackermann.codeSubFormula]
q:12 [in hydras.Prelude.First_toggle]
q:12 [in hydras.MoreAck.AckNotPR]
q:121 [in hydras.Ackermann.fol]
q:126 [in hydras.Ackermann.fol]
q:13 [in hydras.Prelude.First_toggle]
q:130 [in hydras.Ackermann.folProp]
q:131 [in hydras.Ackermann.fol]
q:132 [in hydras.Ackermann.folProp]
q:14 [in hydras.Prelude.First_toggle]
q:14 [in additions.More_on_positive]
q:14 [in additions.Trace_exercise]
q:15 [in hydras.Prelude.More_Arith]
q:15 [in hydras.Prelude.First_toggle]
Q:15 [in hydras.Schutte.MoreEpsilonIota]
Q:15 [in hydras.Schutte.PartialFun]
q:16 [in additions.More_on_positive]
Q:162 [in hydras.Ackermann.fol]
q:17 [in hydras.Hydra.Omega2_Small]
q:172 [in hydras.rpo.term]
q:173 [in hydras.Ackermann.fol]
q:174 [in hydras.Ackermann.fol]
q:176 [in hydras.Ackermann.fol]
q:18 [in additions.More_on_positive]
q:187 [in hydras.Ackermann.fol]
q:19 [in hydras.Prelude.MoreLists]
q:193 [in hydras.Ackermann.fol]
q:21 [in Goedel.rosser]
q:22 [in hydras.Prelude.Simple_LexProd]
q:23 [in additions.AM]
q:24 [in Goedel.rosser]
q:24 [in hydras.Prelude.Simple_LexProd]
Q:240 [in hydras.Ackermann.fol]
q:255 [in hydras.Ackermann.fol]
q:258 [in hydras.Ackermann.fol]
q:259 [in hydras.Ackermann.fol]
q:264 [in hydras.Ackermann.subAll]
q:265 [in hydras.Ackermann.subAll]
q:265 [in hydras.Ackermann.fol]
q:266 [in hydras.Ackermann.fol]
q:27 [in hydras.Schutte.GRelations]
q:277 [in hydras.Ackermann.fol]
q:279 [in hydras.Ackermann.fol]
Q:280 [in gaia_hydras.nfwfgaia]
q:286 [in hydras.Ackermann.fol]
q:287 [in hydras.Ackermann.fol]
q:29 [in hydras.Prelude.More_Arith]
Q:290 [in hydras.Ackermann.fol]
q:291 [in additions.Euclidean_Chains]
q:296 [in additions.Euclidean_Chains]
q:3 [in hydras.Prelude.LibHyps_Experiments]
q:3 [in hydras.MoreAck.PrimRecExamples]
q:30 [in hydras.MoreAck.Ack]
q:301 [in additions.Euclidean_Chains]
q:305 [in hydras.Ackermann.fol]
q:308 [in hydras.Ackermann.fol]
q:309 [in hydras.Ackermann.fol]
q:31 [in hydras.Schutte.GRelations]
q:315 [in hydras.Ackermann.fol]
q:316 [in hydras.Ackermann.fol]
q:317 [in additions.Euclidean_Chains]
q:32 [in Goedel.rosserPA]
q:327 [in hydras.Ackermann.fol]
q:329 [in hydras.Ackermann.fol]
q:332 [in hydras.Ackermann.fol]
Q:336 [in hydras.Ackermann.fol]
q:34 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
q:35 [in hydras.Prelude.More_Arith]
q:35 [in Goedel.rosserPA]
q:350 [in hydras.rpo.term]
q:351 [in hydras.Ackermann.fol]
q:354 [in hydras.Ackermann.fol]
q:355 [in hydras.Ackermann.fol]
q:361 [in additions.Euclidean_Chains]
q:361 [in hydras.Ackermann.fol]
q:362 [in hydras.Ackermann.fol]
q:367 [in additions.Euclidean_Chains]
q:37 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
q:373 [in additions.Euclidean_Chains]
q:373 [in hydras.Ackermann.fol]
q:375 [in hydras.Ackermann.fol]
q:377 [in hydras.Ackermann.fol]
q:380 [in additions.Euclidean_Chains]
Q:380 [in hydras.Ackermann.fol]
q:387 [in additions.Euclidean_Chains]
q:393 [in additions.Euclidean_Chains]
q:395 [in hydras.Ackermann.fol]
q:398 [in hydras.Ackermann.fol]
q:399 [in hydras.Ackermann.fol]
Q:4 [in hydras.Schutte.MoreEpsilonIota]
q:400 [in additions.Euclidean_Chains]
q:405 [in hydras.Ackermann.fol]
q:406 [in hydras.Ackermann.fol]
q:417 [in hydras.Ackermann.fol]
q:419 [in hydras.Ackermann.fol]
q:422 [in hydras.Ackermann.fol]
q:425 [in hydras.Ackermann.fol]
q:43 [in hydras.Prelude.More_Arith]
q:44 [in additions.More_on_positive]
Q:447 [in hydras.Gamma0.Gamma0]
q:46 [in hydras.Prelude.More_Arith]
q:48 [in additions.More_on_positive]
q:49 [in additions.FirstSteps]
Q:504 [in gaia_hydras.nfwfgaia]
q:52 [in additions.More_on_positive]
q:53 [in hydras.Ackermann.code]
q:55 [in additions.More_on_positive]
q:58 [in hydras.Prelude.More_Arith]
q:6 [in hydras.Prelude.LibHyps_Experiments]
q:61 [in hydras.Ackermann.folLogic3]
Q:616 [in hydras.Gamma0.Gamma0]
q:62 [in additions.More_on_positive]
q:65 [in hydras.rpo.dickson]
q:667 [in hydras.Ackermann.primRec]
q:67 [in hydras.Ackermann.fol]
q:704 [in hydras.Ackermann.primRec]
q:710 [in hydras.Ackermann.primRec]
q:74 [in hydras.Ackermann.fol]
q:79 [in hydras.Ackermann.fol]
q:84 [in hydras.Ackermann.fol]
q:873 [in hydras.Ackermann.checkPrf]
q:876 [in hydras.Ackermann.checkPrf]
q:9 [in additions.Fib2]
q:90 [in hydras.Ackermann.folProp]
q:94 [in hydras.Ackermann.folProp]
q:95 [in hydras.Ackermann.folProp]
q:97 [in hydras.Ackermann.codeSubFormula]
q:98 [in hydras.Prelude.MoreLists]

R

RDB:19 [in hydras.Prelude.DecPreOrder_Instances]
recf:16 [in hydras.Ackermann.PA]
recs:100 [in hydras.Ackermann.checkPrf]
recs:100 [in hydras.Ackermann.codePA]
recs:1004 [in hydras.Ackermann.codeSubFormula]
recs:1007 [in hydras.Ackermann.codeSubFormula]
recs:101 [in hydras.Ackermann.codeFreeVar]
recs:101 [in hydras.Ackermann.codeSubTerm]
recs:1010 [in hydras.Ackermann.codeSubFormula]
recs:1013 [in hydras.Ackermann.codeSubFormula]
recs:1016 [in hydras.Ackermann.codeSubFormula]
recs:1019 [in hydras.Ackermann.codeSubFormula]
recs:102 [in hydras.Ackermann.checkPrf]
recs:103 [in hydras.Ackermann.codeSubTerm]
recs:103 [in hydras.Ackermann.wellFormed]
recs:104 [in hydras.Ackermann.checkPrf]
recs:104 [in hydras.Ackermann.codePA]
recs:1048 [in hydras.Ackermann.codeSubFormula]
recs:105 [in hydras.Ackermann.codeSubTerm]
recs:105 [in hydras.Ackermann.wellFormed]
recs:1051 [in hydras.Ackermann.codeSubFormula]
recs:1054 [in hydras.Ackermann.codeSubFormula]
recs:1057 [in hydras.Ackermann.codeSubFormula]
recs:106 [in hydras.Ackermann.codePA]
recs:1060 [in hydras.Ackermann.codeSubFormula]
recs:1063 [in hydras.Ackermann.codeSubFormula]
recs:1066 [in hydras.Ackermann.codeSubFormula]
recs:1069 [in hydras.Ackermann.codeSubFormula]
recs:107 [in hydras.Ackermann.codeSubTerm]
recs:107 [in hydras.Ackermann.wellFormed]
recs:1072 [in hydras.Ackermann.codeSubFormula]
recs:1074 [in hydras.Ackermann.codeSubFormula]
recs:1076 [in hydras.Ackermann.codeSubFormula]
recs:1078 [in hydras.Ackermann.codeSubFormula]
recs:108 [in hydras.Ackermann.codePA]
recs:1080 [in hydras.Ackermann.codeSubFormula]
recs:1082 [in hydras.Ackermann.codeSubFormula]
recs:109 [in hydras.Ackermann.codeSubTerm]
recs:109 [in hydras.Ackermann.wellFormed]
recs:1092 [in hydras.Ackermann.codeSubFormula]
recs:1094 [in hydras.Ackermann.codeSubFormula]
recs:1096 [in hydras.Ackermann.codeSubFormula]
recs:1098 [in hydras.Ackermann.codeSubFormula]
recs:11 [in hydras.Ackermann.codePA]
recs:110 [in hydras.Ackermann.codePA]
recs:1100 [in hydras.Ackermann.codeSubFormula]
recs:1102 [in hydras.Ackermann.codeSubFormula]
recs:1104 [in hydras.Ackermann.codeSubFormula]
recs:1106 [in hydras.Ackermann.codeSubFormula]
recs:1108 [in hydras.Ackermann.codeSubFormula]
recs:111 [in hydras.Ackermann.codeFreeVar]
recs:111 [in hydras.Ackermann.codeSubTerm]
recs:111 [in hydras.Ackermann.wellFormed]
recs:1110 [in hydras.Ackermann.codeSubFormula]
recs:1118 [in hydras.Ackermann.codeSubFormula]
recs:112 [in hydras.Ackermann.codePA]
recs:1120 [in hydras.Ackermann.codeSubFormula]
recs:1122 [in hydras.Ackermann.codeSubFormula]
recs:1124 [in hydras.Ackermann.codeSubFormula]
recs:1126 [in hydras.Ackermann.codeSubFormula]
recs:1128 [in hydras.Ackermann.codeSubFormula]
recs:113 [in hydras.Ackermann.codeFreeVar]
recs:113 [in hydras.Ackermann.codeSubTerm]
recs:113 [in hydras.Ackermann.wellFormed]
recs:1130 [in hydras.Ackermann.codeSubFormula]
recs:1132 [in hydras.Ackermann.codeSubFormula]
recs:1134 [in hydras.Ackermann.codeSubFormula]
recs:1136 [in hydras.Ackermann.codeSubFormula]
recs:1138 [in hydras.Ackermann.codeSubFormula]
recs:114 [in hydras.Ackermann.checkPrf]
recs:114 [in hydras.Ackermann.codePA]
recs:1140 [in hydras.Ackermann.codeSubFormula]
recs:1142 [in hydras.Ackermann.codeSubFormula]
recs:1144 [in hydras.Ackermann.codeSubFormula]
recs:115 [in hydras.Ackermann.codeFreeVar]
recs:115 [in hydras.Ackermann.codeSubTerm]
recs:1154 [in hydras.Ackermann.codeSubFormula]
recs:1156 [in hydras.Ackermann.codeSubFormula]
recs:1158 [in hydras.Ackermann.codeSubFormula]
recs:116 [in hydras.Ackermann.checkPrf]
recs:1160 [in hydras.Ackermann.codeSubFormula]
recs:117 [in hydras.Ackermann.codeFreeVar]
recs:118 [in hydras.Ackermann.checkPrf]
recs:119 [in hydras.Ackermann.codeFreeVar]
recs:120 [in hydras.Ackermann.checkPrf]
recs:120 [in hydras.Ackermann.codePA]
recs:121 [in hydras.Ackermann.codeFreeVar]
recs:121 [in hydras.Ackermann.wellFormed]
recs:122 [in hydras.Ackermann.checkPrf]
recs:122 [in hydras.Ackermann.codePA]
recs:1221 [in hydras.Ackermann.codeSubFormula]
recs:1224 [in hydras.Ackermann.codeSubFormula]
recs:123 [in hydras.Ackermann.wellFormed]
recs:124 [in hydras.Ackermann.checkPrf]
recs:124 [in hydras.Ackermann.codePA]
recs:1240 [in hydras.Ackermann.codeSubFormula]
recs:1243 [in hydras.Ackermann.codeSubFormula]
recs:125 [in hydras.Ackermann.wellFormed]
recs:126 [in hydras.Ackermann.checkPrf]
recs:126 [in hydras.Ackermann.codeSubFormula]
recs:126 [in hydras.Ackermann.codePA]
recs:127 [in hydras.Ackermann.wellFormed]
recs:128 [in hydras.Ackermann.checkPrf]
recs:128 [in hydras.Ackermann.codeSubFormula]
recs:128 [in hydras.Ackermann.codePA]
recs:129 [in hydras.Ackermann.wellFormed]
recs:1297 [in hydras.Ackermann.codeSubFormula]
recs:13 [in hydras.Ackermann.wellFormed]
recs:130 [in hydras.Ackermann.codePA]
recs:1300 [in hydras.Ackermann.codeSubFormula]
recs:131 [in hydras.Ackermann.codeFreeVar]
recs:131 [in hydras.Ackermann.wellFormed]
recs:133 [in hydras.Ackermann.wellFormed]
recs:134 [in hydras.Ackermann.codeFreeVar]
recs:134 [in hydras.Ackermann.checkPrf]
recs:135 [in hydras.Ackermann.wellFormed]
recs:136 [in hydras.Ackermann.codeFreeVar]
recs:136 [in hydras.Ackermann.checkPrf]
recs:137 [in hydras.Ackermann.wellFormed]
recs:1371 [in hydras.Ackermann.codeSubFormula]
recs:1374 [in hydras.Ackermann.codeSubFormula]
recs:139 [in hydras.Ackermann.wellFormed]
recs:14 [in hydras.Ackermann.codePA]
recs:141 [in hydras.Ackermann.codeSubFormula]
recs:141 [in hydras.Ackermann.wellFormed]
recs:142 [in hydras.Ackermann.checkPrf]
recs:143 [in hydras.Ackermann.codeSubFormula]
recs:143 [in hydras.Ackermann.wellFormed]
recs:144 [in hydras.Ackermann.checkPrf]
recs:145 [in hydras.Ackermann.wellFormed]
recs:146 [in hydras.Ackermann.checkPrf]
recs:147 [in hydras.Ackermann.wellFormed]
recs:147 [in hydras.Ackermann.codePA]
recs:148 [in hydras.Ackermann.codeFreeVar]
recs:148 [in hydras.Ackermann.checkPrf]
recs:149 [in hydras.Ackermann.wellFormed]
recs:15 [in hydras.Ackermann.codeFreeVar]
recs:150 [in hydras.Ackermann.codeFreeVar]
recs:150 [in hydras.Ackermann.checkPrf]
recs:150 [in hydras.Ackermann.codePA]
recs:151 [in hydras.Ackermann.codeSubFormula]
recs:151 [in hydras.Ackermann.wellFormed]
recs:152 [in hydras.Ackermann.codeFreeVar]
recs:152 [in hydras.Ackermann.checkPrf]
recs:154 [in hydras.Ackermann.codeFreeVar]
recs:154 [in hydras.Ackermann.checkPrf]
recs:156 [in hydras.Ackermann.codeFreeVar]
recs:156 [in hydras.Ackermann.checkPrf]
recs:158 [in hydras.Ackermann.codeFreeVar]
recs:158 [in hydras.Ackermann.checkPrf]
recs:159 [in hydras.Ackermann.codeSubTerm]
recs:159 [in hydras.Ackermann.codePA]
recs:160 [in hydras.Ackermann.codeFreeVar]
recs:160 [in hydras.Ackermann.checkPrf]
recs:161 [in hydras.Ackermann.codeSubTerm]
recs:161 [in hydras.Ackermann.wellFormed]
recs:161 [in hydras.Ackermann.codePA]
recs:162 [in hydras.Ackermann.codeFreeVar]
recs:162 [in hydras.Ackermann.checkPrf]
recs:163 [in hydras.Ackermann.codeSubTerm]
recs:163 [in hydras.Ackermann.codeSubFormula]
recs:163 [in hydras.Ackermann.wellFormed]
recs:164 [in hydras.Ackermann.codeFreeVar]
recs:165 [in hydras.Ackermann.codeSubTerm]
recs:165 [in hydras.Ackermann.codeSubFormula]
recs:165 [in hydras.Ackermann.wellFormed]
recs:166 [in hydras.Ackermann.codeFreeVar]
recs:167 [in hydras.Ackermann.codeSubTerm]
recs:167 [in hydras.Ackermann.codeSubFormula]
recs:167 [in hydras.Ackermann.wellFormed]
recs:168 [in hydras.Ackermann.codeFreeVar]
recs:169 [in hydras.Ackermann.codeSubTerm]
recs:169 [in hydras.Ackermann.codeSubFormula]
recs:169 [in hydras.Ackermann.wellFormed]
recs:17 [in hydras.Ackermann.codeFreeVar]
recs:170 [in hydras.Ackermann.codeFreeVar]
recs:171 [in hydras.Ackermann.codeSubTerm]
recs:171 [in hydras.Ackermann.codeSubFormula]
recs:171 [in hydras.Ackermann.wellFormed]
recs:173 [in hydras.Ackermann.codeSubTerm]
recs:173 [in hydras.Ackermann.codeSubFormula]
recs:174 [in hydras.Ackermann.codeFreeVar]
recs:175 [in hydras.Ackermann.codeSubTerm]
recs:175 [in hydras.Ackermann.codeSubFormula]
recs:176 [in hydras.Ackermann.codeFreeVar]
recs:177 [in hydras.Ackermann.codeSubTerm]
recs:177 [in hydras.Ackermann.codeSubFormula]
recs:178 [in hydras.Ackermann.codeFreeVar]
recs:180 [in hydras.Ackermann.codeFreeVar]
recs:180 [in hydras.Ackermann.codeSubTerm]
recs:181 [in hydras.Ackermann.codeSubFormula]
recs:182 [in hydras.Ackermann.codeFreeVar]
recs:183 [in hydras.Ackermann.codeSubTerm]
recs:183 [in hydras.Ackermann.codeSubFormula]
recs:184 [in hydras.Ackermann.codeFreeVar]
recs:184 [in hydras.Ackermann.checkPrf]
recs:185 [in hydras.Ackermann.codeSubTerm]
recs:185 [in hydras.Ackermann.codeSubFormula]
recs:186 [in hydras.Ackermann.checkPrf]
recs:187 [in hydras.Ackermann.codeSubTerm]
recs:187 [in hydras.Ackermann.codeSubFormula]
recs:188 [in hydras.Ackermann.codeFreeVar]
recs:188 [in hydras.Ackermann.checkPrf]
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recs:89 [in hydras.Ackermann.codeSubTerm]
recs:89 [in hydras.Ackermann.wellFormed]
recs:90 [in hydras.Ackermann.codePA]
recs:902 [in hydras.Ackermann.codeSubFormula]
recs:905 [in hydras.Ackermann.codeSubFormula]
recs:91 [in hydras.Ackermann.codeFreeVar]
recs:91 [in hydras.Ackermann.wellFormed]
recs:92 [in hydras.Ackermann.codePA]
recs:929 [in hydras.Ackermann.codeSubFormula]
recs:93 [in hydras.Ackermann.codeFreeVar]
recs:93 [in hydras.Ackermann.codeSubTerm]
recs:932 [in hydras.Ackermann.codeSubFormula]
recs:94 [in hydras.Ackermann.codePA]
recs:941 [in hydras.Ackermann.codeSubFormula]
recs:944 [in hydras.Ackermann.codeSubFormula]
recs:947 [in hydras.Ackermann.codeSubFormula]
recs:95 [in hydras.Ackermann.codeFreeVar]
recs:95 [in hydras.Ackermann.codeSubTerm]
recs:950 [in hydras.Ackermann.codeSubFormula]
recs:953 [in hydras.Ackermann.codeSubFormula]
recs:956 [in hydras.Ackermann.codeSubFormula]
recs:959 [in hydras.Ackermann.codeSubFormula]
recs:96 [in hydras.Ackermann.codePA]
recs:962 [in hydras.Ackermann.codeSubFormula]
recs:965 [in hydras.Ackermann.codeSubFormula]
recs:968 [in hydras.Ackermann.codeSubFormula]
recs:97 [in hydras.Ackermann.codeFreeVar]
recs:97 [in hydras.Ackermann.codeSubTerm]
recs:971 [in hydras.Ackermann.codeSubFormula]
recs:974 [in hydras.Ackermann.codeSubFormula]
recs:977 [in hydras.Ackermann.codeSubFormula]
recs:98 [in hydras.Ackermann.checkPrf]
recs:98 [in hydras.Ackermann.codePA]
recs:982 [in hydras.Ackermann.codeSubFormula]
recs:985 [in hydras.Ackermann.codeSubFormula]
recs:988 [in hydras.Ackermann.codeSubFormula]
recs:99 [in hydras.Ackermann.codeFreeVar]
recs:99 [in hydras.Ackermann.codeSubTerm]
recs:991 [in hydras.Ackermann.codeSubFormula]
recs:994 [in hydras.Ackermann.codeSubFormula]
recs:997 [in hydras.Ackermann.codeSubFormula]
rec:10 [in hydras.Ackermann.codeNatToTerm]
rec:100 [in Goedel.rosserPA]
rec:102 [in Goedel.rosserPA]
rec:104 [in Goedel.rosserPA]
rec:106 [in Goedel.rosserPA]
rec:108 [in Goedel.rosserPA]
rec:11 [in hydras.Ackermann.codeNatToTerm]
rec:12 [in hydras.Ackermann.codeNatToTerm]
rec:1268 [in hydras.Ackermann.codeSubFormula]
rec:1269 [in hydras.Ackermann.codeSubFormula]
rec:1270 [in hydras.Ackermann.codeSubFormula]
rec:1271 [in hydras.Ackermann.codeSubFormula]
rec:1272 [in hydras.Ackermann.codeSubFormula]
rec:1273 [in hydras.Ackermann.codeSubFormula]
rec:1274 [in hydras.Ackermann.codeSubFormula]
rec:1275 [in hydras.Ackermann.codeSubFormula]
rec:1276 [in hydras.Ackermann.codeSubFormula]
rec:1277 [in hydras.Ackermann.codeSubFormula]
rec:1278 [in hydras.Ackermann.codeSubFormula]
rec:1279 [in hydras.Ackermann.codeSubFormula]
rec:1280 [in hydras.Ackermann.codeSubFormula]
rec:13 [in hydras.Ackermann.codeNatToTerm]
rec:1311 [in hydras.Ackermann.codeSubFormula]
rec:1312 [in hydras.Ackermann.codeSubFormula]
rec:1317 [in hydras.Ackermann.codeSubFormula]
rec:1322 [in hydras.Ackermann.codeSubFormula]
rec:1325 [in hydras.Ackermann.codeSubFormula]
rec:1328 [in hydras.Ackermann.codeSubFormula]
rec:1331 [in hydras.Ackermann.codeSubFormula]
rec:1334 [in hydras.Ackermann.codeSubFormula]
rec:1337 [in hydras.Ackermann.codeSubFormula]
rec:1340 [in hydras.Ackermann.codeSubFormula]
rec:1341 [in hydras.Ackermann.codeSubFormula]
rec:1342 [in hydras.Ackermann.codeSubFormula]
rec:1343 [in hydras.Ackermann.codeSubFormula]
rec:1344 [in hydras.Ackermann.codeSubFormula]
rec:1345 [in hydras.Ackermann.codeSubFormula]
rec:1346 [in hydras.Ackermann.codeSubFormula]
rec:1347 [in hydras.Ackermann.codeSubFormula]
rec:137 [in Goedel.PRrepresentable]
rec:14 [in hydras.Prelude.Iterates]
rec:14 [in hydras.Ackermann.codeNatToTerm]
rec:148 [in Goedel.PRrepresentable]
rec:15 [in hydras.Ackermann.codeNatToTerm]
rec:159 [in Goedel.PRrepresentable]
rec:160 [in hydras.Ackermann.fol]
rec:166 [in hydras.Ackermann.fol]
rec:242 [in Goedel.PRrepresentable]
rec:248 [in Goedel.PRrepresentable]
rec:29 [in hydras.Ackermann.Languages]
rec:30 [in Goedel.rosser]
rec:32 [in Goedel.rosser]
rec:34 [in hydras.Ackermann.Languages]
rec:36 [in Goedel.codeSysPrf]
rec:38 [in Goedel.codeSysPrf]
rec:39 [in Goedel.rosser]
rec:44 [in Goedel.rosser]
rec:46 [in Goedel.codeSysPrf]
rec:463 [in Goedel.PRrepresentable]
rec:471 [in Goedel.PRrepresentable]
rec:48 [in Goedel.codeSysPrf]
rec:49 [in Goedel.rosser]
rec:54 [in Goedel.rosser]
rec:540 [in hydras.Ackermann.checkPrf]
rec:543 [in hydras.Ackermann.checkPrf]
rec:547 [in hydras.Ackermann.checkPrf]
rec:550 [in hydras.Ackermann.checkPrf]
rec:552 [in hydras.Ackermann.checkPrf]
rec:554 [in hydras.Ackermann.checkPrf]
rec:556 [in hydras.Ackermann.checkPrf]
rec:558 [in hydras.Ackermann.checkPrf]
rec:56 [in Goedel.rosser]
rec:560 [in hydras.Ackermann.checkPrf]
rec:58 [in Goedel.rosser]
rec:580 [in hydras.Ackermann.primRec]
rec:581 [in hydras.Ackermann.primRec]
rec:582 [in hydras.Ackermann.primRec]
rec:583 [in hydras.Ackermann.primRec]
rec:591 [in hydras.Ackermann.checkPrf]
rec:593 [in hydras.Ackermann.checkPrf]
rec:595 [in hydras.Ackermann.checkPrf]
rec:597 [in hydras.Ackermann.checkPrf]
rec:599 [in hydras.Ackermann.checkPrf]
rec:6 [in hydras.Ackermann.codeNatToTerm]
rec:60 [in Goedel.rosserPA]
rec:601 [in hydras.Ackermann.checkPrf]
rec:603 [in hydras.Ackermann.checkPrf]
rec:605 [in hydras.Ackermann.checkPrf]
rec:607 [in hydras.Ackermann.checkPrf]
rec:62 [in Goedel.rosserPA]
rec:62 [in Goedel.rosser]
rec:620 [in hydras.Ackermann.checkPrf]
rec:622 [in hydras.Ackermann.checkPrf]
rec:624 [in hydras.Ackermann.checkPrf]
rec:626 [in hydras.Ackermann.checkPrf]
rec:628 [in hydras.Ackermann.checkPrf]
rec:630 [in hydras.Ackermann.checkPrf]
rec:632 [in hydras.Ackermann.checkPrf]
rec:634 [in hydras.Ackermann.checkPrf]
rec:636 [in hydras.Ackermann.checkPrf]
rec:64 [in Goedel.rosser]
rec:69 [in Goedel.rosserPA]
rec:7 [in hydras.Ackermann.codeNatToTerm]
rec:74 [in Goedel.rosserPA]
rec:79 [in Goedel.rosserPA]
rec:795 [in hydras.Ackermann.checkPrf]
rec:8 [in hydras.Ackermann.codeNatToTerm]
rec:801 [in hydras.Ackermann.checkPrf]
rec:808 [in hydras.Ackermann.checkPrf]
rec:81 [in hydras.Ackermann.codeSubFormula]
rec:812 [in hydras.Ackermann.checkPrf]
rec:816 [in hydras.Ackermann.primRec]
rec:84 [in Goedel.rosserPA]
rec:86 [in Goedel.rosserPA]
rec:88 [in Goedel.rosserPA]
rec:9 [in hydras.Ackermann.codeNatToTerm]
rec:95 [in Goedel.rosserPA]
replace_at_pos_list:338 [in hydras.rpo.term]
replace_at_pos_list:160 [in hydras.rpo.term]
rep:66 [in Goedel.rosser]
rest:3 [in hydras.Epsilon0.Large_Sets_Examples]
rest:63 [in hydras.Ackermann.codeSubFormula]
rt:9 [in hydras.Prelude.DecPreOrder]
r':32 [in hydras.Prelude.More_Arith]
r':38 [in hydras.Prelude.More_Arith]
R':550 [in hydras.Ackermann.primRec]
R':564 [in hydras.Ackermann.primRec]
r':61 [in hydras.Prelude.More_Arith]
r':90 [in hydras.Hydra.Hydra_Definitions]
R1:2 [in additions.Wf_transparent]
r1:41 [in hydras.Gamma0.Gamma0]
r1:49 [in hydras.Gamma0.Gamma0]
r1:57 [in hydras.Gamma0.Gamma0]
r1:65 [in hydras.Gamma0.Gamma0]
R2:3 [in additions.Wf_transparent]
r2:42 [in hydras.Gamma0.Gamma0]
r2:50 [in hydras.Gamma0.Gamma0]
r2:58 [in hydras.Gamma0.Gamma0]
r2:66 [in hydras.Gamma0.Gamma0]
R:1 [in hydras.rpo.dickson]
r:10 [in hydras.Ackermann.PA]
R:10 [in hydras.Schutte.PartialFun]
R:10 [in hydras.rpo.dickson]
r:11 [in additions.Strategies]
R:11 [in hydras.Prelude.DecPreOrder]
R:11 [in hydras.rpo.closure]
R:110 [in hydras.Prelude.MoreLists]
r:114 [in hydras.Ackermann.codeSubFormula]
R:121 [in hydras.Prelude.MoreLists]
R:128 [in hydras.Prelude.MoreLists]
R:130 [in hydras.Ackermann.primRec]
r:131 [in hydras.Ackermann.folProp]
R:133 [in hydras.Prelude.MoreLists]
r:137 [in hydras.Gamma0.T2]
R:138 [in hydras.Prelude.MoreLists]
r:14 [in hydras.Ackermann.model]
r:14 [in hydras.Ackermann.checkPrf]
R:14 [in hydras.Prelude.STDPP_compat]
r:14 [in Goedel.codeSysPrf]
R:143 [in hydras.Prelude.MoreLists]
r:148 [in hydras.Ackermann.folProp]
r:15 [in hydras.Ackermann.fol]
R:16 [in hydras.Schutte.PartialFun]
R:16 [in hydras.rpo.closure]
R:16 [in hydras.Ackermann.Languages]
R:166 [in hydras.Prelude.MoreLists]
r:17 [in hydras.Ackermann.checkPrf]
r:17 [in Goedel.codeSysPrf]
R:17 [in hydras.rpo.dickson]
r:177 [in hydras.Ackermann.folProp]
r:182 [in hydras.Ackermann.wellFormed]
R:184 [in additions.Addition_Chains]
r:185 [in hydras.Ackermann.wellFormed]
R:19 [in hydras.rpo.closure]
r:193 [in hydras.Ackermann.folProp]
R:2 [in hydras.Prelude.DecPreOrder]
R:2 [in hydras.Prelude.STDPP_compat]
R:2 [in hydras.rpo.closure]
R:20 [in hydras.Ackermann.extEqualNat]
R:20 [in hydras.Ackermann.Languages]
R:20 [in hydras.solutions_exercises.T1_ltNotWf]
r:204 [in hydras.Ackermann.fol]
r:209 [in hydras.Ackermann.folProp]
R:21 [in hydras.rpo.dickson]
R:21 [in hydras.rpo.closure]
R:22 [in hydras.Ackermann.extEqualNat]
R:22 [in hydras.Ackermann.checkPrf]
r:22 [in hydras.Ackermann.Languages]
r:225 [in hydras.Ackermann.folProp]
r:227 [in hydras.Ackermann.fol]
r:23 [in hydras.Ackermann.Languages]
r:245 [in hydras.Ackermann.fol]
R:25 [in hydras.rpo.dickson]
r:25 [in hydras.Ackermann.Languages]
r:256 [in hydras.Ackermann.folProp]
r:27 [in additions.Fib2]
r:272 [in hydras.Ackermann.folProp]
r:278 [in hydras.Ackermann.fol]
r:284 [in hydras.Ackermann.subAll]
r:289 [in hydras.Ackermann.subAll]
R:29 [in hydras.rpo.dickson]
r:292 [in additions.Euclidean_Chains]
r:295 [in hydras.Ackermann.fol]
r:297 [in additions.Euclidean_Chains]
R:3 [in hydras.Prelude.Restriction]
r:3 [in gaia_hydras.onType]
R:3 [in hydras.Schutte.Countable]
r:305 [in hydras.Ackermann.folProp]
r:31 [in hydras.Prelude.More_Arith]
r:31 [in hydras.Ackermann.model]
R:31 [in hydras.Prelude.DecPreOrder]
r:319 [in hydras.Ackermann.subAll]
r:321 [in hydras.Ackermann.subAll]
r:321 [in hydras.Ackermann.folProp]
r:328 [in hydras.Ackermann.fol]
r:33 [in hydras.Schutte.GRelations]
R:33 [in hydras.rpo.dickson]
r:337 [in hydras.Ackermann.folProp]
r:34 [in hydras.Schutte.GRelations]
r:341 [in hydras.Ackermann.fol]
r:35 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
r:353 [in hydras.Ackermann.folProp]
r:362 [in additions.Euclidean_Chains]
r:368 [in additions.Euclidean_Chains]
r:369 [in hydras.Ackermann.folProp]
r:37 [in hydras.Prelude.More_Arith]
r:37 [in hydras.Ackermann.model]
R:37 [in hydras.rpo.dickson]
r:374 [in additions.Euclidean_Chains]
r:374 [in hydras.Ackermann.fol]
r:38 [in hydras.Ackermann.model]
r:38 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
R:38 [in hydras.rpo.dickson]
r:381 [in additions.Euclidean_Chains]
r:385 [in hydras.Ackermann.folProp]
r:385 [in hydras.Ackermann.fol]
r:388 [in additions.Euclidean_Chains]
r:39 [in hydras.Prelude.Restriction]
r:394 [in additions.Euclidean_Chains]
R:4 [in hydras.Schutte.Countable]
r:401 [in additions.Euclidean_Chains]
R:402 [in hydras.Epsilon0.T1]
R:41 [in hydras.rpo.dickson]
r:418 [in hydras.Ackermann.fol]
R:42 [in hydras.Ackermann.folProof]
R:42 [in hydras.rpo.dickson]
r:438 [in hydras.Ackermann.fol]
r:45 [in additions.More_on_positive]
R:48 [in hydras.rpo.dickson]
r:49 [in additions.More_on_positive]
R:5 [in hydras.Schutte.Countable]
R:51 [in hydras.Ackermann.Languages]
R:52 [in hydras.Ackermann.Languages]
r:54 [in hydras.Ackermann.Languages]
R:54 [in hydras.Ackermann.expressible]
R:546 [in hydras.Ackermann.primRec]
R:549 [in hydras.Ackermann.primRec]
R:55 [in hydras.rpo.dickson]
r:55 [in hydras.Ackermann.Languages]
r:56 [in additions.More_on_positive]
r:56 [in hydras.Ackermann.Languages]
R:560 [in hydras.Ackermann.primRec]
R:563 [in hydras.Ackermann.primRec]
R:566 [in hydras.Ackermann.primRec]
R:568 [in hydras.Ackermann.primRec]
r:57 [in hydras.Ackermann.Languages]
R:57 [in hydras.Ackermann.expressible]
r:58 [in hydras.Ackermann.Languages]
r:59 [in additions.More_on_positive]
r:59 [in hydras.Ackermann.Languages]
r:6 [in hydras.solutions_exercises.isqrt]
r:60 [in hydras.Prelude.More_Arith]
r:60 [in hydras.Ackermann.Languages]
r:61 [in hydras.Ackermann.Languages]
R:61 [in hydras.Ackermann.expressible]
R:62 [in hydras.rpo.dickson]
R:63 [in hydras.rpo.dickson]
r:63 [in hydras.Ackermann.Languages]
r:64 [in hydras.Ackermann.model]
R:65 [in hydras.Ackermann.expressible]
r:652 [in hydras.Ackermann.checkPrf]
r:66 [in hydras.Ackermann.folLogic3]
r:67 [in additions.fib]
r:68 [in additions.fib]
R:7 [in hydras.Ackermann.folProof]
r:7 [in hydras.Ackermann.PAconsistent]
R:7 [in hydras.Schutte.PartialFun]
R:70 [in hydras.Ackermann.expressible]
R:8 [in hydras.Prelude.DecPreOrder]
R:8 [in hydras.Ackermann.code]
r:8 [in hydras.solutions_exercises.isqrt]
r:85 [in hydras.Ackermann.model]
r:88 [in hydras.Ackermann.codeSubFormula]
r:89 [in hydras.Hydra.Hydra_Definitions]

S

SA:17 [in hydras.Prelude.Simple_LexProd]
SA:19 [in hydras.Prelude.Simple_LexProd]
SB:18 [in hydras.Prelude.Simple_LexProd]
SB:20 [in hydras.Prelude.Simple_LexProd]
seq:22 [in hydras.solutions_exercises.T1_ltNotWf]
SigA:279 [in Goedel.PRrepresentable]
SigA:282 [in Goedel.PRrepresentable]
SigA:297 [in Goedel.PRrepresentable]
SigB:280 [in Goedel.PRrepresentable]
SigB:283 [in Goedel.PRrepresentable]
SigB:298 [in Goedel.PRrepresentable]
sigma1:113 [in hydras.rpo.term]
sigma1:122 [in hydras.rpo.term]
sigma1:291 [in hydras.rpo.term]
sigma1:300 [in hydras.rpo.term]
sigma1:302 [in hydras.rpo.term]
sigma2:114 [in hydras.rpo.term]
sigma2:123 [in hydras.rpo.term]
sigma2:292 [in hydras.rpo.term]
sigma2:301 [in hydras.rpo.term]
sigma2:303 [in hydras.rpo.term]
sigma:102 [in hydras.rpo.term]
sigma:111 [in hydras.rpo.term]
sigma:119 [in hydras.rpo.term]
sigma:126 [in hydras.rpo.term]
sigma:128 [in hydras.rpo.term]
sigma:184 [in hydras.rpo.term]
sigma:280 [in hydras.rpo.term]
sigma:289 [in hydras.rpo.term]
sigma:297 [in hydras.rpo.term]
sigma:307 [in hydras.rpo.term]
sigma:309 [in hydras.rpo.term]
sigma:315 [in hydras.rpo.rpo]
sigma:363 [in hydras.rpo.term]
sigma:86 [in hydras.rpo.rpo]
size_acc:203 [in hydras.rpo.term]
size_acc:20 [in hydras.rpo.term]
size_acc:54 [in hydras.rpo.more_list]
size1:57 [in hydras.rpo.more_list]
size2:58 [in hydras.rpo.more_list]
size:37 [in hydras.rpo.more_list]
size:42 [in hydras.rpo.more_list]
size:47 [in hydras.rpo.more_list]
size:51 [in hydras.rpo.more_list]
size:69 [in hydras.rpo.list_permut]
size:73 [in hydras.rpo.more_list]
size:74 [in hydras.rpo.list_permut]
sn_tt:288 [in hydras.rpo.rpo]
sn_tt:285 [in hydras.rpo.rpo]
sn_tt:282 [in hydras.rpo.rpo]
squares:6 [in additions.AM]
ss:113 [in hydras.Ackermann.fol]
ss:120 [in hydras.Ackermann.fol]
ss:125 [in hydras.Ackermann.fol]
ss:130 [in hydras.Ackermann.fol]
ss:28 [in hydras.Ackermann.folLogic3]
ss:30 [in hydras.Ackermann.folLogic3]
ss:31 [in hydras.Ackermann.code]
ss:34 [in hydras.Ackermann.code]
ss:37 [in hydras.Ackermann.code]
ss:37 [in hydras.Ackermann.folLogic3]
ss:4 [in hydras.Ackermann.folProp]
ss:44 [in hydras.Ackermann.folLogic3]
ss:51 [in hydras.Ackermann.folProp]
ss:51 [in hydras.Ackermann.folLogic3]
ss:59 [in hydras.Ackermann.folLogic3]
ss:66 [in hydras.Ackermann.fol]
ss:68 [in hydras.Ackermann.folLogic3]
ss:73 [in hydras.Ackermann.fol]
ss:78 [in hydras.Ackermann.fol]
ss:78 [in hydras.Ackermann.folLogic3]
ss:83 [in hydras.Ackermann.fol]
ss:94 [in hydras.Ackermann.fol]
ss:97 [in hydras.Ackermann.fol]
sto:12 [in hydras.Prelude.MoreOrders]
sto:17 [in hydras.Prelude.MoreOrders]
sto:24 [in hydras.Prelude.MoreOrders]
sto:30 [in hydras.Prelude.MoreOrders]
sto:34 [in hydras.Prelude.MoreOrders]
sto:37 [in hydras.Prelude.MoreOrders]
sto:40 [in hydras.Prelude.MoreOrders]
sto:48 [in hydras.Prelude.MoreOrders]
sto:5 [in hydras.Prelude.MoreOrders]
sto:8 [in hydras.Prelude.MoreOrders]
St:110 [in hydras.Hydra.Hydra_Lemmas]
Su:208 [in hydras.OrdinalNotations.ON_Generic]
s':117 [in additions.AM]
s':13 [in hydras.Hydra.Hydra_Lemmas]
s':144 [in hydras.rpo.rpo]
s':148 [in hydras.rpo.rpo]
s':16 [in hydras.Hydra.Hydra_Lemmas]
s':19 [in hydras.Hydra.Hydra_Termination]
s':199 [in hydras.Epsilon0.Paths]
s':202 [in hydras.Epsilon0.Paths]
s':21 [in hydras.Hydra.Hydra_Termination]
s':21 [in hydras.Hydra.Hydra_Lemmas]
s':28 [in hydras.Hydra.Hydra_Termination]
s':289 [in hydras.rpo.rpo]
s':290 [in hydras.rpo.rpo]
s':291 [in hydras.rpo.rpo]
s':292 [in hydras.rpo.rpo]
s':299 [in hydras.rpo.rpo]
s':300 [in hydras.rpo.rpo]
s':31 [in hydras.Hydra.Hydra_Termination]
s':37 [in hydras.Hydra.Hydra_Termination]
s':40 [in hydras.Hydra.Hydra_Termination]
s':43 [in hydras.Hydra.O2H]
s':49 [in hydras.rpo.rpo]
s':51 [in additions.AM]
s':53 [in hydras.Hydra.Hydra_Lemmas]
s':53 [in hydras.rpo.rpo]
s':58 [in hydras.Hydra.Hydra_Lemmas]
s':62 [in hydras.Hydra.Hydra_Definitions]
s':63 [in hydras.Hydra.Hydra_Lemmas]
s':66 [in hydras.Hydra.Hydra_Definitions]
s':69 [in additions.AM]
s':75 [in hydras.Hydra.Hydra_Definitions]
s':8 [in hydras.Hydra.Hydra_Lemmas]
s':82 [in hydras.Hydra.Hydra_Definitions]
s':84 [in hydras.Hydra.Hydra_Definitions]
s0:1241 [in hydras.Ackermann.codeSubFormula]
s0:1244 [in hydras.Ackermann.codeSubFormula]
s0:1298 [in hydras.Ackermann.codeSubFormula]
s0:1301 [in hydras.Ackermann.codeSubFormula]
s0:1372 [in hydras.Ackermann.codeSubFormula]
s0:1375 [in hydras.Ackermann.codeSubFormula]
s0:21 [in hydras.Ackermann.codeSubTerm]
s0:25 [in hydras.Ackermann.codeSubTerm]
s0:43 [in hydras.Ackermann.codeSubTerm]
s0:47 [in hydras.Ackermann.codeSubTerm]
s0:863 [in hydras.Ackermann.codeSubFormula]
s0:866 [in hydras.Ackermann.codeSubFormula]
s0:887 [in hydras.Ackermann.codeSubFormula]
s0:890 [in hydras.Ackermann.codeSubFormula]
s0:903 [in hydras.Ackermann.codeSubFormula]
s0:906 [in hydras.Ackermann.codeSubFormula]
s0:930 [in hydras.Ackermann.codeSubFormula]
s0:933 [in hydras.Ackermann.codeSubFormula]
s1':201 [in hydras.rpo.list_set]
s1':207 [in hydras.rpo.list_set]
s1':217 [in hydras.rpo.list_set]
s1:104 [in hydras.rpo.list_set]
s1:11 [in hydras.rpo.list_set]
s1:110 [in hydras.rpo.list_set]
s1:112 [in hydras.Ackermann.subProp]
s1:1210 [in hydras.Ackermann.codeSubFormula]
s1:1213 [in hydras.Ackermann.codeSubFormula]
s1:1217 [in hydras.Ackermann.codeSubFormula]
s1:124 [in hydras.rpo.list_set]
s1:13 [in hydras.Ackermann.folLogic2]
s1:130 [in hydras.rpo.list_set]
s1:131 [in hydras.Ackermann.subProp]
s1:137 [in hydras.rpo.list_set]
s1:146 [in hydras.Ackermann.subProp]
s1:150 [in hydras.Ackermann.subProp]
s1:152 [in hydras.rpo.list_set]
s1:154 [in hydras.Ackermann.subProp]
s1:155 [in hydras.rpo.list_set]
s1:158 [in hydras.rpo.list_set]
s1:160 [in hydras.rpo.list_set]
s1:162 [in hydras.rpo.list_set]
s1:164 [in hydras.rpo.list_set]
s1:166 [in hydras.rpo.list_set]
s1:168 [in hydras.rpo.list_set]
s1:169 [in hydras.Ackermann.subProp]
s1:171 [in hydras.rpo.list_set]
s1:174 [in hydras.rpo.list_set]
s1:176 [in hydras.rpo.list_set]
s1:184 [in hydras.rpo.list_set]
s1:186 [in hydras.rpo.list_set]
s1:191 [in hydras.rpo.list_set]
s1:197 [in hydras.rpo.list_set]
s1:2 [in hydras.Hydra.Hydra_Lemmas]
s1:200 [in hydras.rpo.list_set]
s1:203 [in hydras.rpo.list_set]
s1:206 [in hydras.rpo.list_set]
s1:210 [in hydras.rpo.list_set]
s1:213 [in hydras.rpo.list_set]
s1:216 [in hydras.rpo.list_set]
s1:22 [in hydras.Hydra.Hydra_Lemmas]
s1:220 [in hydras.rpo.list_set]
s1:224 [in hydras.rpo.list_set]
s1:226 [in hydras.rpo.list_set]
s1:228 [in hydras.rpo.list_set]
s1:23 [in hydras.Ackermann.folLogic2]
s1:230 [in hydras.rpo.list_set]
s1:234 [in hydras.Epsilon0.Paths]
s1:239 [in hydras.Epsilon0.Paths]
s1:246 [in hydras.rpo.list_set]
s1:248 [in hydras.rpo.list_set]
s1:25 [in hydras.Hydra.Hydra_Lemmas]
s1:250 [in hydras.rpo.list_set]
s1:255 [in hydras.rpo.list_set]
s1:28 [in hydras.Ackermann.folLogic2]
s1:29 [in hydras.Hydra.O2H]
s1:29 [in hydras.Hydra.Hydra_Lemmas]
s1:33 [in hydras.Hydra.O2H]
s1:33 [in hydras.Hydra.Hydra_Lemmas]
s1:43 [in hydras.Hydra.Hydra_Definitions]
s1:47 [in hydras.Hydra.Hydra_Lemmas]
s1:8 [in hydras.rpo.list_set]
s1:820 [in hydras.Ackermann.codeSubFormula]
s1:823 [in hydras.Ackermann.codeSubFormula]
s1:827 [in hydras.Ackermann.codeSubFormula]
s1:843 [in hydras.Ackermann.codeSubFormula]
s1:846 [in hydras.Ackermann.codeSubFormula]
s1:93 [in hydras.rpo.list_set]
s1:98 [in hydras.rpo.list_set]
s2':205 [in hydras.rpo.list_set]
s2':209 [in hydras.rpo.list_set]
s2':219 [in hydras.rpo.list_set]
s2:105 [in hydras.rpo.list_set]
s2:111 [in hydras.rpo.list_set]
s2:113 [in hydras.Ackermann.subProp]
s2:12 [in hydras.rpo.list_set]
s2:1211 [in hydras.Ackermann.codeSubFormula]
s2:1214 [in hydras.Ackermann.codeSubFormula]
s2:1218 [in hydras.Ackermann.codeSubFormula]
s2:1238 [in hydras.Ackermann.codeSubFormula]
s2:125 [in hydras.rpo.list_set]
s2:131 [in hydras.rpo.list_set]
s2:132 [in hydras.Ackermann.subProp]
s2:138 [in hydras.rpo.list_set]
s2:14 [in hydras.Ackermann.folLogic2]
s2:147 [in hydras.Ackermann.subProp]
s2:151 [in hydras.Ackermann.subProp]
s2:153 [in hydras.rpo.list_set]
s2:155 [in hydras.Ackermann.subProp]
s2:156 [in hydras.rpo.list_set]
s2:159 [in hydras.rpo.list_set]
s2:161 [in hydras.rpo.list_set]
s2:163 [in hydras.rpo.list_set]
s2:165 [in hydras.rpo.list_set]
s2:167 [in hydras.rpo.list_set]
s2:169 [in hydras.rpo.list_set]
s2:170 [in hydras.Ackermann.subProp]
s2:172 [in hydras.rpo.list_set]
s2:175 [in hydras.rpo.list_set]
s2:177 [in hydras.rpo.list_set]
s2:185 [in hydras.rpo.list_set]
s2:187 [in hydras.rpo.list_set]
s2:192 [in hydras.rpo.list_set]
s2:198 [in hydras.rpo.list_set]
s2:202 [in hydras.rpo.list_set]
s2:204 [in hydras.rpo.list_set]
s2:208 [in hydras.rpo.list_set]
s2:211 [in hydras.rpo.list_set]
s2:214 [in hydras.rpo.list_set]
s2:218 [in hydras.rpo.list_set]
s2:221 [in hydras.rpo.list_set]
s2:225 [in hydras.rpo.list_set]
s2:227 [in hydras.rpo.list_set]
s2:229 [in hydras.rpo.list_set]
s2:23 [in hydras.Hydra.Hydra_Lemmas]
s2:231 [in hydras.rpo.list_set]
s2:235 [in hydras.Epsilon0.Paths]
s2:24 [in hydras.Ackermann.folLogic2]
s2:240 [in hydras.Epsilon0.Paths]
s2:247 [in hydras.rpo.list_set]
s2:249 [in hydras.rpo.list_set]
s2:251 [in hydras.rpo.list_set]
s2:256 [in hydras.rpo.list_set]
s2:26 [in hydras.Hydra.Hydra_Lemmas]
s2:29 [in hydras.Ackermann.folLogic2]
s2:3 [in hydras.Hydra.Hydra_Lemmas]
s2:30 [in hydras.Hydra.O2H]
s2:30 [in hydras.Hydra.Hydra_Lemmas]
s2:34 [in hydras.Hydra.O2H]
s2:34 [in hydras.Hydra.Hydra_Lemmas]
s2:44 [in hydras.Hydra.Hydra_Definitions]
s2:48 [in hydras.Hydra.Hydra_Lemmas]
s2:821 [in hydras.Ackermann.codeSubFormula]
s2:824 [in hydras.Ackermann.codeSubFormula]
s2:828 [in hydras.Ackermann.codeSubFormula]
s2:844 [in hydras.Ackermann.codeSubFormula]
s2:847 [in hydras.Ackermann.codeSubFormula]
s2:9 [in hydras.rpo.list_set]
s2:900 [in hydras.Ackermann.codeSubFormula]
s2:917 [in hydras.Ackermann.codeSubFormula]
s2:922 [in hydras.Ackermann.codeSubFormula]
s2:927 [in hydras.Ackermann.codeSubFormula]
s2:94 [in hydras.rpo.list_set]
s2:99 [in hydras.rpo.list_set]
s3:178 [in hydras.rpo.list_set]
s3:188 [in hydras.rpo.list_set]
s3:24 [in hydras.Hydra.Hydra_Lemmas]
s3:27 [in hydras.Hydra.Hydra_Lemmas]
s3:31 [in hydras.Hydra.Hydra_Lemmas]
s3:4 [in hydras.Hydra.Hydra_Lemmas]
s:10 [in hydras.Ackermann.codeSubTerm]
S:10 [in hydras.MoreAck.FolExamples]
s:1005 [in hydras.Ackermann.codeSubFormula]
s:1008 [in hydras.Ackermann.codeSubFormula]
s:101 [in hydras.Epsilon0.Paths]
s:101 [in hydras.Ackermann.folReplace]
s:101 [in hydras.rpo.rpo]
s:1011 [in hydras.Ackermann.codeSubFormula]
s:1014 [in hydras.Ackermann.codeSubFormula]
s:1017 [in hydras.Ackermann.codeSubFormula]
s:102 [in hydras.Hydra.O2H]
s:1020 [in hydras.Ackermann.codeSubFormula]
s:1028 [in hydras.Ackermann.codeSubFormula]
s:103 [in hydras.Ackermann.LNN2LNT]
s:103 [in hydras.rpo.rpo]
s:1030 [in hydras.Ackermann.codeSubFormula]
s:1032 [in hydras.Ackermann.codeSubFormula]
s:1034 [in hydras.Ackermann.codeSubFormula]
s:1036 [in hydras.Ackermann.codeSubFormula]
s:1038 [in hydras.Ackermann.codeSubFormula]
s:104 [in hydras.Ackermann.subProp]
s:104 [in hydras.Epsilon0.Paths]
s:1040 [in hydras.Ackermann.codeSubFormula]
s:1042 [in hydras.Ackermann.codeSubFormula]
s:1044 [in hydras.Ackermann.codeSubFormula]
s:1046 [in hydras.Ackermann.codeSubFormula]
s:1049 [in hydras.Ackermann.codeSubFormula]
s:105 [in hydras.Hydra.O2H]
s:105 [in hydras.Ackermann.model]
s:1052 [in hydras.Ackermann.codeSubFormula]
s:1055 [in hydras.Ackermann.codeSubFormula]
s:1058 [in hydras.Ackermann.codeSubFormula]
s:106 [in hydras.Ackermann.folReplace]
s:1061 [in hydras.Ackermann.codeSubFormula]
s:1064 [in hydras.Ackermann.codeSubFormula]
s:1067 [in hydras.Ackermann.codeSubFormula]
s:107 [in hydras.Epsilon0.Paths]
s:1070 [in hydras.Ackermann.codeSubFormula]
s:108 [in hydras.Hydra.O2H]
s:109 [in hydras.Ackermann.model]
s:11 [in hydras.Hydra.Hydra_Lemmas]
s:110 [in hydras.Epsilon0.Paths]
s:111 [in hydras.Ackermann.subAll]
s:112 [in hydras.Epsilon0.Paths]
s:113 [in hydras.Ackermann.model]
s:115 [in additions.AM]
s:116 [in hydras.Ackermann.LNN2LNT]
s:117 [in hydras.Ackermann.subAll]
s:117 [in hydras.Ackermann.model]
s:1170 [in hydras.Ackermann.codeSubFormula]
s:1172 [in hydras.Ackermann.codeSubFormula]
s:1174 [in hydras.Ackermann.codeSubFormula]
s:1176 [in hydras.Ackermann.codeSubFormula]
s:1178 [in hydras.Ackermann.codeSubFormula]
s:118 [in hydras.Ackermann.codeSubFormula]
s:1180 [in hydras.Ackermann.codeSubFormula]
s:1182 [in hydras.Ackermann.codeSubFormula]
s:1184 [in hydras.Ackermann.codeSubFormula]
s:1186 [in hydras.Ackermann.codeSubFormula]
s:1188 [in hydras.Ackermann.codeSubFormula]
s:119 [in hydras.Epsilon0.Paths]
s:1190 [in hydras.Ackermann.codeSubFormula]
s:1192 [in hydras.Ackermann.codeSubFormula]
s:1194 [in hydras.Ackermann.codeSubFormula]
s:1196 [in hydras.Ackermann.codeSubFormula]
s:12 [in hydras.Hydra.Hydra_Termination]
s:12 [in hydras.Hydra.Hydra_Lemmas]
s:120 [in hydras.rpo.rpo]
s:1200 [in hydras.Ackermann.codeSubFormula]
s:1202 [in hydras.Ackermann.codeSubFormula]
s:1204 [in hydras.Ackermann.codeSubFormula]
s:1206 [in hydras.Ackermann.codeSubFormula]
s:121 [in hydras.Ackermann.subProp]
s:121 [in hydras.Ackermann.codeSubFormula]
s:1222 [in hydras.Ackermann.codeSubFormula]
s:1225 [in hydras.Ackermann.codeSubFormula]
s:124 [in hydras.Ackermann.codeSubTerm]
s:124 [in hydras.Ackermann.codeSubFormula]
s:124 [in hydras.Epsilon0.Paths]
s:1251 [in hydras.Ackermann.codeSubFormula]
s:1259 [in hydras.Ackermann.codeSubFormula]
s:126 [in hydras.Ackermann.subProp]
s:126 [in hydras.Epsilon0.Large_Sets]
s:126 [in hydras.Epsilon0.Paths]
s:126 [in hydras.rpo.rpo]
s:1267 [in hydras.Ackermann.codeSubFormula]
s:127 [in hydras.Ackermann.codeSubTerm]
s:128 [in hydras.Epsilon0.Large_Sets]
s:1287 [in hydras.Ackermann.codeSubFormula]
s:129 [in hydras.Ackermann.model]
s:1292 [in hydras.Ackermann.codeSubFormula]
s:1295 [in hydras.Ackermann.codeSubFormula]
s:13 [in hydras.Ackermann.codeSubTerm]
s:13 [in hydras.Hydra.Hydra_Termination]
s:130 [in additions.AM]
s:130 [in hydras.Ackermann.codeSubTerm]
s:130 [in hydras.Epsilon0.Large_Sets]
s:132 [in hydras.Epsilon0.Large_Sets]
s:133 [in hydras.Ackermann.codeSubTerm]
s:133 [in hydras.Ackermann.model]
s:133 [in hydras.Ackermann.codeSubFormula]
s:134 [in hydras.Epsilon0.Large_Sets]
s:134 [in hydras.Epsilon0.Paths]
s:135 [in hydras.Ackermann.folProp]
s:136 [in hydras.Ackermann.codeSubTerm]
s:136 [in hydras.Ackermann.subProp]
s:136 [in hydras.Epsilon0.Large_Sets]
s:1368 [in hydras.Ackermann.codeSubFormula]
s:137 [in hydras.Ackermann.model]
s:1378 [in hydras.Ackermann.codeSubFormula]
s:138 [in hydras.Epsilon0.Large_Sets]
s:1381 [in hydras.Ackermann.codeSubFormula]
s:139 [in hydras.Ackermann.codeSubTerm]
s:139 [in hydras.rpo.rpo]
s:1391 [in hydras.Ackermann.codeSubFormula]
s:1395 [in hydras.Ackermann.codeSubFormula]
s:1398 [in hydras.Ackermann.codeSubFormula]
s:14 [in hydras.Ackermann.subProp]
s:14 [in hydras.Hydra.Hydra_Termination]
s:140 [in hydras.Ackermann.subProp]
s:140 [in hydras.Epsilon0.Large_Sets]
s:140 [in hydras.Epsilon0.Paths]
S:140 [in hydras.Schutte.Ordering_Functions]
s:1401 [in hydras.Ackermann.codeSubFormula]
s:1406 [in hydras.Ackermann.codeSubFormula]
s:141 [in hydras.Ackermann.model]
s:1412 [in hydras.Ackermann.codeSubFormula]
s:1419 [in hydras.Ackermann.codeSubFormula]
s:142 [in hydras.Ackermann.codeSubTerm]
s:142 [in hydras.Epsilon0.Large_Sets]
s:1424 [in hydras.Ackermann.codeSubFormula]
s:1429 [in hydras.Ackermann.codeSubFormula]
s:143 [in hydras.Ackermann.folProp]
s:143 [in hydras.Ackermann.subProp]
s:1432 [in hydras.Ackermann.codeSubFormula]
s:1435 [in hydras.Ackermann.codeSubFormula]
s:1438 [in hydras.Ackermann.codeSubFormula]
S:144 [in hydras.Schutte.Ordering_Functions]
s:1441 [in hydras.Ackermann.codeSubFormula]
s:1444 [in hydras.Ackermann.codeSubFormula]
s:1447 [in hydras.Ackermann.codeSubFormula]
s:145 [in hydras.Ackermann.codeSubTerm]
s:145 [in hydras.Ackermann.model]
S:145 [in hydras.Schutte.Ordering_Functions]
s:1450 [in hydras.Ackermann.codeSubFormula]
s:1453 [in hydras.Ackermann.codeSubFormula]
s:1456 [in hydras.Ackermann.codeSubFormula]
s:1459 [in hydras.Ackermann.codeSubFormula]
s:146 [in hydras.Epsilon0.Paths]
s:1462 [in hydras.Ackermann.codeSubFormula]
s:1465 [in hydras.Ackermann.codeSubFormula]
s:1468 [in hydras.Ackermann.codeSubFormula]
s:147 [in hydras.Ackermann.folProp]
s:1471 [in hydras.Ackermann.codeSubFormula]
s:1474 [in hydras.Ackermann.codeSubFormula]
s:1477 [in hydras.Ackermann.codeSubFormula]
s:1480 [in hydras.Ackermann.codeSubFormula]
s:1483 [in hydras.Ackermann.codeSubFormula]
s:1486 [in hydras.Ackermann.codeSubFormula]
s:1489 [in hydras.Ackermann.codeSubFormula]
s:149 [in hydras.Ackermann.model]
s:1492 [in hydras.Ackermann.codeSubFormula]
s:1495 [in hydras.Ackermann.codeSubFormula]
s:1498 [in hydras.Ackermann.codeSubFormula]
s:15 [in additions.AM]
s:15 [in gaia_hydras.GPaths]
s:15 [in hydras.Hydra.Hydra_Lemmas]
s:1501 [in hydras.Ackermann.codeSubFormula]
s:1504 [in hydras.Ackermann.codeSubFormula]
s:1507 [in hydras.Ackermann.codeSubFormula]
s:151 [in hydras.Ackermann.folProp]
s:151 [in gaia_hydras.T1Bridge]
s:1510 [in hydras.Ackermann.codeSubFormula]
s:1512 [in hydras.Ackermann.codeSubFormula]
s:1514 [in hydras.Ackermann.codeSubFormula]
s:1517 [in hydras.Ackermann.codeSubFormula]
s:152 [in hydras.Epsilon0.Large_Sets]
s:1520 [in hydras.Ackermann.codeSubFormula]
s:1523 [in hydras.Ackermann.codeSubFormula]
s:1526 [in hydras.Ackermann.codeSubFormula]
s:1529 [in hydras.Ackermann.codeSubFormula]
s:153 [in gaia_hydras.T1Bridge]
s:153 [in hydras.rpo.rpo]
s:1532 [in hydras.Ackermann.codeSubFormula]
s:1535 [in hydras.Ackermann.codeSubFormula]
s:1538 [in hydras.Ackermann.codeSubFormula]
s:1541 [in hydras.Ackermann.codeSubFormula]
s:1544 [in hydras.Ackermann.codeSubFormula]
s:1547 [in hydras.Ackermann.codeSubFormula]
s:155 [in hydras.Ackermann.folProp]
s:155 [in gaia_hydras.T1Bridge]
s:155 [in hydras.rpo.rpo]
s:1550 [in hydras.Ackermann.codeSubFormula]
s:1553 [in hydras.Ackermann.codeSubFormula]
s:1556 [in hydras.Ackermann.codeSubFormula]
s:1559 [in hydras.Ackermann.codeSubFormula]
s:156 [in additions.AM]
s:1562 [in hydras.Ackermann.codeSubFormula]
s:1565 [in hydras.Ackermann.codeSubFormula]
s:1568 [in hydras.Ackermann.codeSubFormula]
s:157 [in hydras.Ackermann.model]
s:158 [in hydras.Epsilon0.Large_Sets]
s:158 [in hydras.Epsilon0.Paths]
s:159 [in hydras.Ackermann.subProp]
s:159 [in hydras.rpo.rpo]
s:16 [in hydras.Hydra.Hydra_Definitions]
s:160 [in additions.AM]
s:160 [in gaia_hydras.T1Bridge]
s:160 [in hydras.Epsilon0.Paths]
s:162 [in hydras.Epsilon0.Paths]
s:163 [in additions.AM]
s:164 [in additions.AM]
s:164 [in hydras.Prelude.MoreLists]
s:164 [in hydras.Ackermann.subProp]
s:165 [in hydras.Epsilon0.Paths]
s:166 [in additions.AM]
S:167 [in hydras.Prelude.MoreLists]
s:168 [in additions.AM]
s:169 [in additions.AM]
s:17 [in hydras.Ackermann.codeSubTerm]
s:17 [in hydras.Hydra.Hydra_Termination]
s:17 [in hydras.Epsilon0.Paths]
s:170 [in hydras.Epsilon0.Paths]
s:172 [in hydras.rpo.rpo]
s:173 [in hydras.rpo.list_set]
s:175 [in hydras.Epsilon0.Paths]
s:177 [in hydras.Epsilon0.Large_Sets]
s:178 [in hydras.Epsilon0.Paths]
s:18 [in hydras.Prelude.MoreOrders]
s:18 [in hydras.Hydra.Hydra_Termination]
s:180 [in hydras.Epsilon0.Large_Sets]
s:180 [in hydras.Schutte.Schutte_basics]
s:180 [in hydras.Epsilon0.Paths]
s:181 [in hydras.rpo.list_set]
s:181 [in hydras.rpo.rpo]
s:182 [in hydras.Epsilon0.Large_Sets]
s:182 [in hydras.rpo.list_set]
s:182 [in hydras.Epsilon0.Paths]
s:183 [in hydras.Schutte.Schutte_basics]
s:183 [in hydras.rpo.list_set]
s:183 [in hydras.Epsilon0.Paths]
s:184 [in hydras.Epsilon0.Large_Sets]
s:184 [in hydras.Epsilon0.Paths]
s:185 [in hydras.Epsilon0.Large_Sets]
s:185 [in hydras.Schutte.Schutte_basics]
s:186 [in hydras.Schutte.Schutte_basics]
s:187 [in hydras.Epsilon0.Large_Sets]
s:188 [in hydras.Prelude.MoreLists]
s:188 [in hydras.Schutte.Schutte_basics]
s:188 [in hydras.Epsilon0.Paths]
s:19 [in hydras.Ackermann.LNN2LNT]
s:19 [in gaia_hydras.GPaths]
s:19 [in hydras.Ackermann.subProp]
s:190 [in hydras.Epsilon0.Large_Sets]
s:190 [in hydras.Epsilon0.Paths]
s:192 [in hydras.Prelude.MoreLists]
s:192 [in hydras.Epsilon0.Large_Sets]
s:192 [in hydras.Schutte.Schutte_basics]
s:192 [in hydras.Epsilon0.Paths]
s:194 [in hydras.Epsilon0.Large_Sets]
s:194 [in hydras.rpo.rpo]
s:195 [in hydras.Epsilon0.Paths]
s:196 [in hydras.Epsilon0.Large_Sets]
s:198 [in hydras.Epsilon0.Large_Sets]
s:198 [in hydras.Schutte.Schutte_basics]
s:198 [in hydras.Epsilon0.Paths]
s:2 [in hydras.Ackermann.folProp]
s:2 [in hydras.Epsilon0.Large_Sets]
s:2 [in hydras.Hydra.Hydra_Termination]
s:2 [in gaia_hydras.GHydra]
s:2 [in gaia_hydras.GLarge_Sets]
s:20 [in hydras.Prelude.MoreLists]
s:20 [in hydras.Hydra.Hydra_Termination]
s:20 [in hydras.Hydra.Hydra_Lemmas]
s:20 [in hydras.Epsilon0.Paths]
s:200 [in hydras.Epsilon0.Large_Sets]
s:201 [in hydras.Epsilon0.Paths]
s:204 [in hydras.Epsilon0.Large_Sets]
s:205 [in hydras.Epsilon0.Large_Sets]
s:205 [in hydras.Epsilon0.Paths]
s:207 [in hydras.Epsilon0.Large_Sets]
s:208 [in hydras.Epsilon0.Paths]
S:21 [in hydras.Ackermann.Languages]
s:210 [in hydras.Prelude.MoreLists]
s:210 [in hydras.rpo.rpo]
s:211 [in hydras.Epsilon0.Large_Sets]
s:211 [in hydras.rpo.rpo]
s:212 [in hydras.rpo.list_set]
s:212 [in hydras.Epsilon0.Paths]
s:213 [in hydras.Epsilon0.Large_Sets]
s:215 [in hydras.Epsilon0.Large_Sets]
s:215 [in hydras.rpo.list_set]
s:215 [in hydras.Epsilon0.Paths]
s:215 [in hydras.rpo.rpo]
s:216 [in hydras.Prelude.MoreLists]
s:219 [in hydras.Epsilon0.Paths]
s:219 [in hydras.rpo.rpo]
s:22 [in additions.AM]
s:22 [in hydras.Epsilon0.Epsilon0rpo]
s:22 [in hydras.Epsilon0.Large_Sets]
s:22 [in hydras.Hydra.Hydra_Definitions]
s:222 [in hydras.rpo.list_set]
s:222 [in hydras.Epsilon0.Paths]
s:223 [in hydras.rpo.list_set]
s:225 [in hydras.rpo.rpo]
s:227 [in hydras.Epsilon0.Paths]
s:228 [in additions.AM]
s:23 [in hydras.Prelude.MoreLists]
S:23 [in hydras.Ackermann.checkPrf]
s:23 [in hydras.Ackermann.subProp]
s:23 [in hydras.rpo.list_set]
s:23 [in hydras.Epsilon0.Paths]
s:230 [in hydras.Epsilon0.Paths]
s:234 [in hydras.Ackermann.folProp]
s:236 [in hydras.Epsilon0.Paths]
s:241 [in hydras.Epsilon0.Paths]
s:244 [in hydras.Epsilon0.Paths]
s:246 [in hydras.Epsilon0.Paths]
s:25 [in hydras.Prelude.MoreOrders]
s:25 [in hydras.rpo.list_set]
s:253 [in hydras.Epsilon0.Paths]
s:256 [in hydras.Epsilon0.Paths]
s:260 [in hydras.Epsilon0.Paths]
s:262 [in hydras.rpo.rpo]
s:263 [in hydras.Epsilon0.Paths]
s:263 [in hydras.Gamma0.Gamma0]
s:263 [in hydras.rpo.rpo]
s:264 [in hydras.rpo.rpo]
s:265 [in hydras.rpo.rpo]
s:27 [in hydras.Ackermann.LNN2LNT]
s:27 [in hydras.Ackermann.subProp]
s:27 [in hydras.Hydra.Hydra_Termination]
s:277 [in Goedel.PRrepresentable]
s:28 [in hydras.Prelude.MoreLists]
s:28 [in hydras.Ackermann.code]
s:282 [in hydras.Ackermann.folProp]
s:283 [in hydras.Ackermann.subAll]
s:288 [in hydras.Ackermann.subAll]
s:29 [in hydras.rpo.list_set]
s:3 [in hydras.solutions_exercises.Limit_Infinity]
s:30 [in hydras.Epsilon0.Large_Sets]
s:30 [in hydras.Hydra.Hydra_Termination]
s:30 [in hydras.rpo.rpo]
s:31 [in gaia_hydras.GPaths]
s:31 [in hydras.Prelude.MoreOrders]
s:31 [in hydras.Schutte.Schutte_basics]
s:31 [in hydras.rpo.list_set]
s:314 [in hydras.rpo.rpo]
s:318 [in hydras.rpo.rpo]
s:32 [in hydras.Ackermann.subProp]
s:32 [in hydras.Epsilon0.Large_Sets]
s:32 [in hydras.Hydra.Hydra_Termination]
s:32 [in hydras.Epsilon0.Paths]
s:33 [in gaia_hydras.GPaths]
s:336 [in additions.Euclidean_Chains]
s:338 [in additions.Euclidean_Chains]
s:34 [in hydras.Ackermann.folLogic2]
s:34 [in hydras.rpo.list_set]
s:341 [in additions.Euclidean_Chains]
s:343 [in additions.Euclidean_Chains]
s:347 [in additions.Euclidean_Chains]
s:35 [in hydras.OrdinalNotations.ON_Omega2]
s:35 [in gaia_hydras.GPaths]
s:35 [in hydras.Epsilon0.Large_Sets]
s:35 [in hydras.Epsilon0.Paths]
s:351 [in additions.Euclidean_Chains]
s:355 [in additions.Euclidean_Chains]
s:357 [in additions.Euclidean_Chains]
s:359 [in hydras.Ackermann.subAll]
s:36 [in hydras.Hydra.Hydra_Termination]
s:363 [in additions.Euclidean_Chains]
s:369 [in additions.Euclidean_Chains]
s:37 [in hydras.Prelude.MoreLists]
s:37 [in hydras.Ackermann.subProp]
s:37 [in hydras.rpo.list_set]
s:372 [in hydras.Ackermann.subAll]
s:376 [in additions.Euclidean_Chains]
s:38 [in hydras.Ackermann.folLogic2]
s:38 [in gaia_hydras.GPaths]
s:38 [in hydras.Prelude.MoreOrders]
s:38 [in hydras.Hydra.Hydra_Definitions]
s:383 [in additions.Euclidean_Chains]
s:386 [in hydras.Epsilon0.Paths]
s:389 [in additions.Euclidean_Chains]
s:39 [in hydras.Hydra.O2H]
s:39 [in hydras.Prelude.MoreLists]
s:39 [in hydras.Ackermann.codeSubTerm]
s:39 [in hydras.Hydra.Hydra_Termination]
s:39 [in hydras.Epsilon0.Paths]
s:395 [in hydras.Ackermann.folProp]
s:396 [in additions.Euclidean_Chains]
s:399 [in hydras.Ackermann.folProp]
s:4 [in hydras.Ackermann.subProp]
s:4 [in hydras.Epsilon0.Large_Sets]
s:4 [in gaia_hydras.GLarge_Sets]
s:403 [in hydras.Ackermann.folProp]
s:403 [in additions.Euclidean_Chains]
s:406 [in additions.Euclidean_Chains]
s:407 [in additions.Euclidean_Chains]
s:408 [in hydras.Ackermann.folProp]
s:409 [in additions.Euclidean_Chains]
s:41 [in hydras.Hydra.O2H]
s:41 [in hydras.Prelude.MoreLists]
s:41 [in hydras.Epsilon0.Paths]
s:411 [in additions.Euclidean_Chains]
s:412 [in additions.Euclidean_Chains]
s:413 [in hydras.Ackermann.folProp]
s:416 [in hydras.Ackermann.folProp]
s:42 [in hydras.Hydra.O2H]
s:42 [in hydras.Ackermann.subProp]
s:423 [in Goedel.PRrepresentable]
s:427 [in Goedel.PRrepresentable]
s:43 [in hydras.Prelude.MoreLists]
s:430 [in Goedel.PRrepresentable]
s:431 [in hydras.Ackermann.folProp]
s:433 [in Goedel.PRrepresentable]
s:436 [in Goedel.PRrepresentable]
s:436 [in hydras.Ackermann.folProp]
s:439 [in Goedel.PRrepresentable]
s:44 [in hydras.rpo.rpo]
s:45 [in hydras.Prelude.MoreLists]
s:45 [in hydras.Epsilon0.Paths]
s:46 [in Goedel.PRrepresentable]
s:46 [in hydras.Hydra.O2H]
s:46 [in hydras.Ackermann.subProp]
s:47 [in hydras.Ackermann.folProp]
s:47 [in hydras.Hydra.Hydra_Definitions]
s:471 [in additions.Euclidean_Chains]
s:49 [in Goedel.PRrepresentable]
s:50 [in additions.AM]
s:50 [in hydras.Ackermann.subProp]
s:50 [in hydras.Hydra.Hydra_Definitions]
s:51 [in Goedel.codeSysPrf]
s:52 [in hydras.Hydra.Hydra_Lemmas]
s:53 [in hydras.rpo.list_set]
S:53 [in hydras.Ackermann.Languages]
S:547 [in hydras.Ackermann.primRec]
s:55 [in hydras.Ackermann.codeSubTerm]
s:55 [in hydras.Ackermann.subProp]
s:55 [in Goedel.codeSysPrf]
s:56 [in gaia_hydras.GPaths]
S:561 [in hydras.Ackermann.primRec]
s:57 [in hydras.Hydra.Hydra_Lemmas]
s:58 [in hydras.rpo.rpo]
s:59 [in hydras.Ackermann.codeSubTerm]
s:59 [in hydras.Hydra.Hydra_Definitions]
s:6 [in hydras.Hydra.BigBattle]
S:6 [in hydras.MoreAck.FolExamples]
s:60 [in gaia_hydras.GPaths]
s:60 [in hydras.Ackermann.folProp]
s:60 [in hydras.Ackermann.subProp]
s:60 [in hydras.Ackermann.codeSubFormula]
s:60 [in hydras.rpo.list_set]
s:60 [in hydras.rpo.rpo]
s:61 [in hydras.Hydra.Hydra_Definitions]
s:62 [in hydras.Hydra.Hydra_Lemmas]
s:63 [in hydras.Ackermann.codeSubTerm]
s:63 [in hydras.Ackermann.folProp]
s:64 [in hydras.rpo.rpo]
s:65 [in hydras.Prelude.MoreLists]
s:65 [in hydras.Ackermann.subProp]
s:65 [in hydras.Hydra.Hydra_Definitions]
s:67 [in additions.AM]
s:67 [in hydras.Ackermann.codeSubTerm]
s:67 [in hydras.Ackermann.folProp]
s:67 [in Goedel.codeSysPrf]
s:68 [in hydras.rpo.list_set]
s:685 [in hydras.Epsilon0.T1]
s:69 [in hydras.Ackermann.subProp]
s:690 [in hydras.Epsilon0.T1]
s:694 [in hydras.Epsilon0.T1]
s:694 [in hydras.Ackermann.codeSubFormula]
s:697 [in hydras.Epsilon0.T1]
s:697 [in hydras.Ackermann.codeSubFormula]
s:7 [in hydras.Ackermann.Deduction]
s:7 [in hydras.Hydra.Hydra_Lemmas]
s:7 [in hydras.rpo.list_set]
s:70 [in hydras.Hydra.Hydra_Definitions]
s:700 [in hydras.Ackermann.codeSubFormula]
s:701 [in hydras.Epsilon0.T1]
s:703 [in hydras.Ackermann.codeSubFormula]
s:706 [in hydras.Ackermann.codeSubFormula]
s:709 [in hydras.Ackermann.codeSubFormula]
s:71 [in hydras.Ackermann.codeSubTerm]
s:71 [in hydras.Ackermann.LNN2LNT]
s:71 [in Goedel.codeSysPrf]
s:712 [in hydras.Ackermann.codeSubFormula]
s:715 [in hydras.Ackermann.codeSubFormula]
s:718 [in hydras.Ackermann.codeSubFormula]
s:72 [in hydras.Ackermann.codeSubFormula]
s:72 [in Goedel.rosser]
s:721 [in hydras.Ackermann.codeSubFormula]
s:724 [in hydras.Ackermann.codeSubFormula]
s:73 [in hydras.Ackermann.model]
s:73 [in hydras.Ackermann.subProp]
s:74 [in hydras.Hydra.Hydra_Definitions]
s:75 [in Goedel.PRrepresentable]
s:75 [in hydras.Ackermann.codeSubTerm]
s:75 [in hydras.rpo.rpo]
s:755 [in hydras.Ackermann.codeSubFormula]
s:756 [in hydras.Ackermann.codeSubFormula]
s:757 [in hydras.Ackermann.codeSubFormula]
s:758 [in hydras.Ackermann.codeSubFormula]
s:759 [in hydras.Ackermann.codeSubFormula]
s:760 [in hydras.Ackermann.codeSubFormula]
s:77 [in hydras.Ackermann.codeSubFormula]
s:78 [in additions.AM]
s:78 [in hydras.Prelude.MoreLists]
s:78 [in hydras.Ackermann.subProp]
s:79 [in hydras.Ackermann.codeSubTerm]
s:79 [in hydras.rpo.rpo]
s:8 [in hydras.Prelude.MoreLists]
s:8 [in hydras.Ackermann.codeSubTerm]
s:8 [in hydras.Hydra.Hydra_Termination]
s:8 [in hydras.rpo.rpo]
s:81 [in hydras.Hydra.Hydra_Definitions]
s:816 [in hydras.Ackermann.codeSubFormula]
s:818 [in hydras.Ackermann.codeSubFormula]
s:83 [in hydras.Ackermann.codeSubTerm]
s:83 [in hydras.Ackermann.subProp]
s:83 [in hydras.Hydra.Hydra_Definitions]
s:832 [in hydras.Ackermann.codeSubFormula]
s:835 [in hydras.Ackermann.codeSubFormula]
s:84 [in hydras.Ackermann.model]
s:85 [in hydras.rpo.rpo]
s:860 [in hydras.Ackermann.codeSubFormula]
s:87 [in hydras.Ackermann.codeSubTerm]
s:87 [in hydras.Ackermann.codeSubFormula]
s:87 [in hydras.Hydra.Hydra_Definitions]
s:876 [in hydras.Ackermann.codeSubFormula]
s:88 [in additions.AM]
s:88 [in hydras.Ackermann.subProp]
s:880 [in hydras.Ackermann.codeSubFormula]
s:884 [in hydras.Ackermann.codeSubFormula]
s:89 [in additions.AM]
s:89 [in hydras.Ackermann.model]
s:9 [in hydras.Ackermann.subProp]
S:9 [in hydras.Ackermann.code]
s:9 [in hydras.Hydra.Hydra_Definitions]
s:90 [in hydras.rpo.rpo]
s:91 [in hydras.Ackermann.codeSubTerm]
s:92 [in hydras.Ackermann.subProp]
s:92 [in hydras.Ackermann.codeSubFormula]
s:93 [in hydras.Epsilon0.Paths]
s:93 [in hydras.rpo.rpo]
s:942 [in hydras.Ackermann.codeSubFormula]
s:945 [in hydras.Ackermann.codeSubFormula]
s:948 [in hydras.Ackermann.codeSubFormula]
s:95 [in hydras.Epsilon0.Paths]
s:95 [in hydras.rpo.rpo]
s:951 [in hydras.Ackermann.codeSubFormula]
s:954 [in hydras.Ackermann.codeSubFormula]
s:957 [in hydras.Ackermann.codeSubFormula]
s:96 [in hydras.Ackermann.subProp]
s:96 [in hydras.Ackermann.folReplace]
s:960 [in hydras.Ackermann.codeSubFormula]
s:963 [in hydras.Ackermann.codeSubFormula]
s:966 [in hydras.Ackermann.codeSubFormula]
s:969 [in hydras.Ackermann.codeSubFormula]
s:97 [in hydras.rpo.rpo]
s:972 [in hydras.Ackermann.codeSubFormula]
s:975 [in hydras.Ackermann.codeSubFormula]
s:978 [in hydras.Ackermann.codeSubFormula]
s:98 [in Goedel.PRrepresentable]
s:98 [in hydras.Epsilon0.Paths]
s:983 [in hydras.Ackermann.codeSubFormula]
s:986 [in hydras.Ackermann.codeSubFormula]
s:989 [in hydras.Ackermann.codeSubFormula]
s:99 [in hydras.Ackermann.subAll]
s:99 [in hydras.rpo.rpo]
s:992 [in hydras.Ackermann.codeSubFormula]
s:995 [in hydras.Ackermann.codeSubFormula]
s:998 [in hydras.Ackermann.codeSubFormula]

T

ta1:310 [in hydras.Gamma0.Gamma0]
ta1:314 [in hydras.Gamma0.Gamma0]
ta1:320 [in hydras.Gamma0.Gamma0]
ta1:328 [in hydras.Gamma0.Gamma0]
ta1:334 [in hydras.Gamma0.Gamma0]
ta1:337 [in hydras.Gamma0.Gamma0]
ta1:342 [in hydras.Gamma0.Gamma0]
ta1:349 [in hydras.Gamma0.Gamma0]
ta1:354 [in hydras.Gamma0.Gamma0]
ta1:358 [in hydras.Gamma0.Gamma0]
ta1:364 [in hydras.Gamma0.Gamma0]
ta1:372 [in hydras.Gamma0.Gamma0]
ta1:378 [in hydras.Gamma0.Gamma0]
ta1:381 [in hydras.Gamma0.Gamma0]
ta1:386 [in hydras.Gamma0.Gamma0]
ta1:393 [in hydras.Gamma0.Gamma0]
ta1:398 [in hydras.Gamma0.Gamma0]
ta1:404 [in hydras.Gamma0.Gamma0]
ta1:408 [in hydras.Gamma0.Gamma0]
ta2:311 [in hydras.Gamma0.Gamma0]
ta2:315 [in hydras.Gamma0.Gamma0]
ta2:321 [in hydras.Gamma0.Gamma0]
ta2:329 [in hydras.Gamma0.Gamma0]
ta2:355 [in hydras.Gamma0.Gamma0]
ta2:359 [in hydras.Gamma0.Gamma0]
ta2:365 [in hydras.Gamma0.Gamma0]
ta2:373 [in hydras.Gamma0.Gamma0]
ta2:379 [in hydras.Gamma0.Gamma0]
ta2:382 [in hydras.Gamma0.Gamma0]
ta2:387 [in hydras.Gamma0.Gamma0]
ta2:394 [in hydras.Gamma0.Gamma0]
TA:35 [in hydras.Prelude.DecPreOrder_Instances]
tb1:312 [in hydras.Gamma0.Gamma0]
tb1:316 [in hydras.Gamma0.Gamma0]
tb1:322 [in hydras.Gamma0.Gamma0]
tb1:330 [in hydras.Gamma0.Gamma0]
tb1:335 [in hydras.Gamma0.Gamma0]
tb1:338 [in hydras.Gamma0.Gamma0]
tb1:343 [in hydras.Gamma0.Gamma0]
tb1:350 [in hydras.Gamma0.Gamma0]
tb1:356 [in hydras.Gamma0.Gamma0]
tb1:360 [in hydras.Gamma0.Gamma0]
tb1:366 [in hydras.Gamma0.Gamma0]
tb1:374 [in hydras.Gamma0.Gamma0]
tb1:380 [in hydras.Gamma0.Gamma0]
tb1:383 [in hydras.Gamma0.Gamma0]
tb1:388 [in hydras.Gamma0.Gamma0]
tb1:395 [in hydras.Gamma0.Gamma0]
tb1:399 [in hydras.Gamma0.Gamma0]
tb1:405 [in hydras.Gamma0.Gamma0]
tb1:409 [in hydras.Gamma0.Gamma0]
tb2:313 [in hydras.Gamma0.Gamma0]
tb2:317 [in hydras.Gamma0.Gamma0]
tb2:323 [in hydras.Gamma0.Gamma0]
tb2:331 [in hydras.Gamma0.Gamma0]
tb2:336 [in hydras.Gamma0.Gamma0]
tb2:339 [in hydras.Gamma0.Gamma0]
tb2:344 [in hydras.Gamma0.Gamma0]
tb2:351 [in hydras.Gamma0.Gamma0]
tb2:357 [in hydras.Gamma0.Gamma0]
tb2:361 [in hydras.Gamma0.Gamma0]
tb2:367 [in hydras.Gamma0.Gamma0]
tb2:375 [in hydras.Gamma0.Gamma0]
TB:12 [in hydras.Prelude.DecPreOrder_Instances]
TB:36 [in hydras.Prelude.DecPreOrder_Instances]
tc1:319 [in hydras.Gamma0.Gamma0]
tc1:326 [in hydras.Gamma0.Gamma0]
tc1:341 [in hydras.Gamma0.Gamma0]
tc1:347 [in hydras.Gamma0.Gamma0]
tc1:363 [in hydras.Gamma0.Gamma0]
tc1:370 [in hydras.Gamma0.Gamma0]
tc1:385 [in hydras.Gamma0.Gamma0]
tc1:391 [in hydras.Gamma0.Gamma0]
tc1:402 [in hydras.Gamma0.Gamma0]
tc1:411 [in hydras.Gamma0.Gamma0]
tc2:327 [in hydras.Gamma0.Gamma0]
tc2:333 [in hydras.Gamma0.Gamma0]
tc2:348 [in hydras.Gamma0.Gamma0]
tc2:353 [in hydras.Gamma0.Gamma0]
tc2:371 [in hydras.Gamma0.Gamma0]
tc2:377 [in hydras.Gamma0.Gamma0]
tc2:392 [in hydras.Gamma0.Gamma0]
tc2:397 [in hydras.Gamma0.Gamma0]
tc2:403 [in hydras.Gamma0.Gamma0]
tc2:407 [in hydras.Gamma0.Gamma0]
tc2:412 [in hydras.Gamma0.Gamma0]
tj:174 [in hydras.rpo.rpo]
tj:177 [in hydras.rpo.rpo]
tj:180 [in hydras.rpo.rpo]
to:14 [in gaia_hydras.GPaths]
to:36 [in gaia_hydras.GPaths]
to:42 [in gaia_hydras.GPaths]
to:45 [in gaia_hydras.GPaths]
trace:125 [in hydras.Ackermann.codeSubFormula]
trace:127 [in hydras.Ackermann.codeSubFormula]
trace:140 [in hydras.Ackermann.codeSubFormula]
trace:142 [in hydras.Ackermann.codeSubFormula]
trace:152 [in hydras.Ackermann.codeSubFormula]
trace:153 [in hydras.Ackermann.codeSubFormula]
trace:154 [in hydras.Ackermann.codeSubFormula]
trace:155 [in hydras.Ackermann.codeSubFormula]
trace:156 [in hydras.Ackermann.codeSubFormula]
trace:157 [in hydras.Ackermann.codeSubFormula]
trace:158 [in hydras.Ackermann.codeSubFormula]
trace:159 [in hydras.Ackermann.codeSubFormula]
trace:160 [in hydras.Ackermann.codeSubFormula]
trace:161 [in hydras.Ackermann.codeSubFormula]
trace:162 [in hydras.Ackermann.codeSubFormula]
trace:164 [in hydras.Ackermann.codeSubFormula]
trace:166 [in hydras.Ackermann.codeSubFormula]
trace:168 [in hydras.Ackermann.codeSubFormula]
trace:170 [in hydras.Ackermann.codeSubFormula]
trace:172 [in hydras.Ackermann.codeSubFormula]
trace:174 [in hydras.Ackermann.codeSubFormula]
trace:176 [in hydras.Ackermann.codeSubFormula]
trace:178 [in hydras.Ackermann.codeSubFormula]
trace:179 [in hydras.Ackermann.codeSubFormula]
trace:180 [in hydras.Ackermann.codeSubFormula]
trace:182 [in hydras.Ackermann.codeSubFormula]
trace:184 [in hydras.Ackermann.codeSubFormula]
trace:186 [in hydras.Ackermann.codeSubFormula]
trace:188 [in hydras.Ackermann.codeSubFormula]
trace:189 [in hydras.Ackermann.codeSubFormula]
trace:190 [in hydras.Ackermann.codeSubFormula]
trace:192 [in hydras.Ackermann.codeSubFormula]
trace:194 [in hydras.Ackermann.codeSubFormula]
trace:195 [in hydras.Ackermann.codeSubFormula]
trace:196 [in hydras.Ackermann.codeSubFormula]
trace:197 [in hydras.Ackermann.codeSubFormula]
trace:198 [in hydras.Ackermann.codeSubFormula]
trace:199 [in hydras.Ackermann.codeSubFormula]
trace:206 [in hydras.Ackermann.codeSubFormula]
trace:214 [in hydras.Ackermann.codeSubFormula]
trace:216 [in hydras.Ackermann.codeSubFormula]
trace:217 [in hydras.Ackermann.codeSubFormula]
trace:218 [in hydras.Ackermann.codeSubFormula]
trace:219 [in hydras.Ackermann.codeSubFormula]
trace:220 [in hydras.Ackermann.codeSubFormula]
trace:221 [in hydras.Ackermann.codeSubFormula]
trace:222 [in hydras.Ackermann.codeSubFormula]
trace:223 [in hydras.Ackermann.codeSubFormula]
trace:224 [in hydras.Ackermann.codeSubFormula]
trace:225 [in hydras.Ackermann.codeSubFormula]
trace:226 [in hydras.Ackermann.codeSubFormula]
trace:228 [in hydras.Ackermann.codeSubFormula]
trace:230 [in hydras.Ackermann.codeSubFormula]
trace:232 [in hydras.Ackermann.codeSubFormula]
trace:234 [in hydras.Ackermann.codeSubFormula]
trace:236 [in hydras.Ackermann.codeSubFormula]
trace:237 [in hydras.Ackermann.codeSubFormula]
trace:239 [in hydras.Ackermann.codeSubFormula]
trace:241 [in hydras.Ackermann.codeSubFormula]
trace:243 [in hydras.Ackermann.codeSubFormula]
trace:245 [in hydras.Ackermann.codeSubFormula]
trace:247 [in hydras.Ackermann.codeSubFormula]
trace:248 [in hydras.Ackermann.codeSubFormula]
trace:249 [in hydras.Ackermann.codeSubFormula]
trace:250 [in hydras.Ackermann.codeSubFormula]
trace:251 [in hydras.Ackermann.codeSubFormula]
trace:252 [in hydras.Ackermann.codeSubFormula]
trace:253 [in hydras.Ackermann.codeSubFormula]
trace:254 [in hydras.Ackermann.codeSubFormula]
trace:255 [in hydras.Ackermann.codeSubFormula]
trace:256 [in hydras.Ackermann.codeSubFormula]
trace:257 [in hydras.Ackermann.codeSubFormula]
trace:258 [in hydras.Ackermann.codeSubFormula]
trace:259 [in hydras.Ackermann.codeSubFormula]
trace:260 [in hydras.Ackermann.codeSubFormula]
trace:261 [in hydras.Ackermann.codeSubFormula]
trace:262 [in hydras.Ackermann.codeSubFormula]
trace:263 [in hydras.Ackermann.codeSubFormula]
trace:264 [in hydras.Ackermann.codeSubFormula]
trace:265 [in hydras.Ackermann.codeSubFormula]
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trace:375 [in hydras.Ackermann.codeSubFormula]
trace:376 [in hydras.Ackermann.codeSubFormula]
trace:377 [in hydras.Ackermann.codeSubFormula]
trace:378 [in hydras.Ackermann.codeSubFormula]
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trace:380 [in hydras.Ackermann.codeSubFormula]
trace:381 [in hydras.Ackermann.codeSubFormula]
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trace:384 [in hydras.Ackermann.codeSubFormula]
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trace:396 [in hydras.Ackermann.codeSubFormula]
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trace:405 [in hydras.Ackermann.codeSubFormula]
trace:406 [in hydras.Ackermann.codeSubFormula]
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trace:408 [in hydras.Ackermann.codeSubFormula]
trace:410 [in hydras.Ackermann.codeSubFormula]
trace:412 [in hydras.Ackermann.codeSubFormula]
trace:414 [in hydras.Ackermann.codeSubFormula]
trace:416 [in hydras.Ackermann.codeSubFormula]
trace:418 [in hydras.Ackermann.codeSubFormula]
trace:420 [in hydras.Ackermann.codeSubFormula]
trace:422 [in hydras.Ackermann.codeSubFormula]
trace:424 [in hydras.Ackermann.codeSubFormula]
trace:425 [in hydras.Ackermann.codeSubFormula]
trace:426 [in hydras.Ackermann.codeSubFormula]
trace:427 [in hydras.Ackermann.codeSubFormula]
trace:428 [in hydras.Ackermann.codeSubFormula]
trace:429 [in hydras.Ackermann.codeSubFormula]
trace:430 [in hydras.Ackermann.codeSubFormula]
trace:431 [in hydras.Ackermann.codeSubFormula]
trace:432 [in hydras.Ackermann.codeSubFormula]
trace:434 [in hydras.Ackermann.codeSubFormula]
trace:436 [in hydras.Ackermann.codeSubFormula]
trace:438 [in hydras.Ackermann.codeSubFormula]
trace:440 [in hydras.Ackermann.codeSubFormula]
trace:441 [in hydras.Ackermann.codeSubFormula]
trace:442 [in hydras.Ackermann.codeSubFormula]
trace:443 [in hydras.Ackermann.codeSubFormula]
trace:444 [in hydras.Ackermann.codeSubFormula]
trace:445 [in hydras.Ackermann.codeSubFormula]
trace:446 [in hydras.Ackermann.codeSubFormula]
trace:447 [in hydras.Ackermann.codeSubFormula]
trace:448 [in hydras.Ackermann.codeSubFormula]
trace:450 [in hydras.Ackermann.codeSubFormula]
trace:452 [in hydras.Ackermann.codeSubFormula]
trace:454 [in hydras.Ackermann.codeSubFormula]
trace:456 [in hydras.Ackermann.codeSubFormula]
trace:457 [in hydras.Ackermann.codeSubFormula]
trace:458 [in hydras.Ackermann.codeSubFormula]
trace:459 [in hydras.Ackermann.codeSubFormula]
trace:460 [in hydras.Ackermann.codeSubFormula]
trace:461 [in hydras.Ackermann.codeSubFormula]
trace:462 [in hydras.Ackermann.codeSubFormula]
trace:463 [in hydras.Ackermann.codeSubFormula]
trace:464 [in hydras.Ackermann.codeSubFormula]
trace:465 [in hydras.Ackermann.codeSubFormula]
trace:466 [in hydras.Ackermann.codeSubFormula]
trace:467 [in hydras.Ackermann.codeSubFormula]
trace:468 [in hydras.Ackermann.codeSubFormula]
trace:469 [in hydras.Ackermann.codeSubFormula]
trace:470 [in hydras.Ackermann.codeSubFormula]
trace:471 [in hydras.Ackermann.codeSubFormula]
trace:472 [in hydras.Ackermann.codeSubFormula]
trace:473 [in hydras.Ackermann.codeSubFormula]
trace:474 [in hydras.Ackermann.codeSubFormula]
trace:475 [in hydras.Ackermann.codeSubFormula]
trace:476 [in hydras.Ackermann.codeSubFormula]
trace:477 [in hydras.Ackermann.codeSubFormula]
trace:478 [in hydras.Ackermann.codeSubFormula]
trace:479 [in hydras.Ackermann.codeSubFormula]
trace:480 [in hydras.Ackermann.codeSubFormula]
trace:481 [in hydras.Ackermann.codeSubFormula]
trace:482 [in hydras.Ackermann.codeSubFormula]
trace:483 [in hydras.Ackermann.codeSubFormula]
trace:484 [in hydras.Ackermann.codeSubFormula]
trace:485 [in hydras.Ackermann.codeSubFormula]
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trace:494 [in hydras.Ackermann.codeSubFormula]
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trace:508 [in hydras.Ackermann.codeSubFormula]
trace:510 [in hydras.Ackermann.codeSubFormula]
trace:512 [in hydras.Ackermann.codeSubFormula]
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trace:514 [in hydras.Ackermann.codeSubFormula]
trace:515 [in hydras.Ackermann.codeSubFormula]
trace:516 [in hydras.Ackermann.codeSubFormula]
trace:517 [in hydras.Ackermann.codeSubFormula]
trace:518 [in hydras.Ackermann.codeSubFormula]
trace:519 [in hydras.Ackermann.codeSubFormula]
trace:520 [in hydras.Ackermann.codeSubFormula]
trace:521 [in hydras.Ackermann.codeSubFormula]
trace:522 [in hydras.Ackermann.codeSubFormula]
trace:523 [in hydras.Ackermann.codeSubFormula]
trace:524 [in hydras.Ackermann.codeSubFormula]
trace:525 [in hydras.Ackermann.codeSubFormula]
trace:526 [in hydras.Ackermann.codeSubFormula]
trace:527 [in hydras.Ackermann.codeSubFormula]
trace:528 [in hydras.Ackermann.codeSubFormula]
trace:529 [in hydras.Ackermann.codeSubFormula]
trace:530 [in hydras.Ackermann.codeSubFormula]
trace:531 [in hydras.Ackermann.codeSubFormula]
trace:532 [in hydras.Ackermann.codeSubFormula]
trace:533 [in hydras.Ackermann.codeSubFormula]
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trace:537 [in hydras.Ackermann.codeSubFormula]
trace:538 [in hydras.Ackermann.codeSubFormula]
trace:540 [in hydras.Ackermann.codeSubFormula]
trace:542 [in hydras.Ackermann.codeSubFormula]
trace:544 [in hydras.Ackermann.codeSubFormula]
trace:546 [in hydras.Ackermann.codeSubFormula]
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trace:548 [in hydras.Ackermann.codeSubFormula]
trace:549 [in hydras.Ackermann.codeSubFormula]
trace:550 [in hydras.Ackermann.codeSubFormula]
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trace:568 [in hydras.Ackermann.codeSubFormula]
trace:569 [in hydras.Ackermann.codeSubFormula]
trace:57 [in hydras.Ackermann.codeSubFormula]
trace:570 [in hydras.Ackermann.codeSubFormula]
trace:571 [in hydras.Ackermann.codeSubFormula]
trace:572 [in hydras.Ackermann.codeSubFormula]
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trace:576 [in hydras.Ackermann.codeSubFormula]
trace:577 [in hydras.Ackermann.codeSubFormula]
trace:578 [in hydras.Ackermann.codeSubFormula]
trace:579 [in hydras.Ackermann.codeSubFormula]
trace:580 [in hydras.Ackermann.codeSubFormula]
trace:581 [in hydras.Ackermann.codeSubFormula]
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trace:585 [in hydras.Ackermann.codeSubFormula]
trace:586 [in hydras.Ackermann.codeSubFormula]
trace:587 [in hydras.Ackermann.codeSubFormula]
trace:588 [in hydras.Ackermann.codeSubFormula]
trace:589 [in hydras.Ackermann.codeSubFormula]
trace:590 [in hydras.Ackermann.codeSubFormula]
trace:591 [in hydras.Ackermann.codeSubFormula]
trace:592 [in hydras.Ackermann.codeSubFormula]
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trace:599 [in hydras.Ackermann.codeSubFormula]
trace:600 [in hydras.Ackermann.codeSubFormula]
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trace:604 [in hydras.Ackermann.codeSubFormula]
trace:605 [in hydras.Ackermann.codeSubFormula]
trace:606 [in hydras.Ackermann.codeSubFormula]
trace:607 [in hydras.Ackermann.codeSubFormula]
trace:608 [in hydras.Ackermann.codeSubFormula]
trace:609 [in hydras.Ackermann.codeSubFormula]
trace:610 [in hydras.Ackermann.codeSubFormula]
trace:611 [in hydras.Ackermann.codeSubFormula]
trace:612 [in hydras.Ackermann.codeSubFormula]
trace:613 [in hydras.Ackermann.codeSubFormula]
trace:614 [in hydras.Ackermann.codeSubFormula]
trace:615 [in hydras.Ackermann.codeSubFormula]
trace:616 [in hydras.Ackermann.codeSubFormula]
trace:617 [in hydras.Ackermann.codeSubFormula]
trace:618 [in hydras.Ackermann.codeSubFormula]
trace:620 [in hydras.Ackermann.codeSubFormula]
trace:622 [in hydras.Ackermann.codeSubFormula]
trace:624 [in hydras.Ackermann.codeSubFormula]
trace:626 [in hydras.Ackermann.codeSubFormula]
trace:628 [in hydras.Ackermann.codeSubFormula]
trace:630 [in hydras.Ackermann.codeSubFormula]
trace:632 [in hydras.Ackermann.codeSubFormula]
trace:634 [in hydras.Ackermann.codeSubFormula]
trace:635 [in hydras.Ackermann.codeSubFormula]
trace:636 [in hydras.Ackermann.codeSubFormula]
trace:637 [in hydras.Ackermann.codeSubFormula]
trace:638 [in hydras.Ackermann.codeSubFormula]
trace:639 [in hydras.Ackermann.codeSubFormula]
trace:640 [in hydras.Ackermann.codeSubFormula]
trace:641 [in hydras.Ackermann.codeSubFormula]
trace:642 [in hydras.Ackermann.codeSubFormula]
trace:644 [in hydras.Ackermann.codeSubFormula]
trace:646 [in hydras.Ackermann.codeSubFormula]
trace:648 [in hydras.Ackermann.codeSubFormula]
trace:650 [in hydras.Ackermann.codeSubFormula]
trace:651 [in hydras.Ackermann.codeSubFormula]
trace:652 [in hydras.Ackermann.codeSubFormula]
trace:653 [in hydras.Ackermann.codeSubFormula]
trace:654 [in hydras.Ackermann.codeSubFormula]
trace:655 [in hydras.Ackermann.codeSubFormula]
trace:656 [in hydras.Ackermann.codeSubFormula]
trace:657 [in hydras.Ackermann.codeSubFormula]
trace:658 [in hydras.Ackermann.codeSubFormula]
trace:659 [in hydras.Ackermann.codeSubFormula]
trace:660 [in hydras.Ackermann.codeSubFormula]
trace:661 [in hydras.Ackermann.codeSubFormula]
trace:662 [in hydras.Ackermann.codeSubFormula]
trace:663 [in hydras.Ackermann.codeSubFormula]
trace:664 [in hydras.Ackermann.codeSubFormula]
trace:665 [in hydras.Ackermann.codeSubFormula]
trace:666 [in hydras.Ackermann.codeSubFormula]
trace:667 [in hydras.Ackermann.codeSubFormula]
trace:668 [in hydras.Ackermann.codeSubFormula]
trace:669 [in hydras.Ackermann.codeSubFormula]
trace:670 [in hydras.Ackermann.codeSubFormula]
trace:671 [in hydras.Ackermann.codeSubFormula]
trace:672 [in hydras.Ackermann.codeSubFormula]
trace:673 [in hydras.Ackermann.codeSubFormula]
trace:674 [in hydras.Ackermann.codeSubFormula]
trace:675 [in hydras.Ackermann.codeSubFormula]
trace:676 [in hydras.Ackermann.codeSubFormula]
trace:677 [in hydras.Ackermann.codeSubFormula]
trace:678 [in hydras.Ackermann.codeSubFormula]
trace:679 [in hydras.Ackermann.codeSubFormula]
trace:680 [in hydras.Ackermann.codeSubFormula]
trace:681 [in hydras.Ackermann.codeSubFormula]
trace:682 [in hydras.Ackermann.codeSubFormula]
trace:683 [in hydras.Ackermann.codeSubFormula]
trace:684 [in hydras.Ackermann.codeSubFormula]
trace:685 [in hydras.Ackermann.codeSubFormula]
trace:686 [in hydras.Ackermann.codeSubFormula]
trace:687 [in hydras.Ackermann.codeSubFormula]
trace:688 [in hydras.Ackermann.codeSubFormula]
trace:689 [in hydras.Ackermann.codeSubFormula]
trace:690 [in hydras.Ackermann.codeSubFormula]
trace:691 [in hydras.Ackermann.codeSubFormula]
triple:184 [in hydras.rpo.rpo]
triple:186 [in hydras.rpo.rpo]
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ts:10 [in hydras.Ackermann.folProp]
ts:100 [in hydras.Ackermann.subProp]
ts:102 [in hydras.Ackermann.subAll]
ts:105 [in hydras.Ackermann.subAll]
ts:105 [in hydras.Ackermann.LNN2LNT]
ts:106 [in hydras.Ackermann.subProp]
ts:107 [in hydras.Ackermann.LNN2LNT]
ts:108 [in hydras.Ackermann.subAll]
ts:108 [in hydras.Ackermann.subProp]
ts:11 [in hydras.Ackermann.codeFreeVar]
ts:11 [in hydras.Ackermann.PA]
ts:110 [in hydras.Ackermann.LNN2LNT]
ts:112 [in hydras.Ackermann.LNN2LNT]
ts:112 [in hydras.Ackermann.fol]
ts:115 [in hydras.Ackermann.subProp]
ts:117 [in hydras.Ackermann.subProp]
ts:119 [in hydras.Ackermann.subProp]
ts:119 [in hydras.Ackermann.fol]
ts:12 [in hydras.Ackermann.LNN2LNT]
ts:12 [in hydras.Ackermann.subProp]
ts:123 [in hydras.Ackermann.subProp]
ts:124 [in hydras.Ackermann.fol]
ts:1253 [in hydras.Ackermann.codeSubFormula]
ts:1255 [in hydras.Ackermann.codeSubFormula]
ts:1261 [in hydras.Ackermann.codeSubFormula]
ts:1263 [in hydras.Ackermann.codeSubFormula]
ts:1265 [in hydras.Ackermann.codeSubFormula]
ts:128 [in hydras.Ackermann.subProp]
ts:129 [in hydras.Ackermann.fol]
ts:13 [in hydras.Ackermann.codeFreeVar]
ts:14 [in hydras.Ackermann.LNN2LNT]
ts:149 [in hydras.Ackermann.folProp]
ts:15 [in hydras.Ackermann.wellFormed]
ts:16 [in hydras.Ackermann.folLogic2]
ts:16 [in hydras.Ackermann.LNN2LNT]
ts:161 [in hydras.Ackermann.model]
ts:17 [in hydras.Ackermann.subProp]
ts:17 [in hydras.Ackermann.wellFormed]
ts:18 [in hydras.Ackermann.subAll]
ts:18 [in hydras.Ackermann.folLogic2]
ts:180 [in hydras.Ackermann.subAll]
ts:183 [in hydras.Ackermann.subAll]
ts:186 [in hydras.Ackermann.subAll]
ts:20 [in hydras.Ackermann.folLogic2]
ts:21 [in hydras.Ackermann.LNN2LNT]
ts:212 [in hydras.Ackermann.subAll]
ts:217 [in hydras.Ackermann.subAll]
ts:22 [in hydras.Ackermann.model]
ts:22 [in hydras.Ackermann.code]
ts:222 [in hydras.Ackermann.subAll]
ts:23 [in hydras.Ackermann.subAll]
ts:23 [in hydras.Ackermann.codeFreeVar]
ts:23 [in hydras.Ackermann.LNN2LNT]
ts:25 [in hydras.Ackermann.LNN2LNT]
ts:27 [in hydras.Ackermann.codeSubTerm]
ts:27 [in hydras.Ackermann.folLogic3]
ts:28 [in hydras.Ackermann.subAll]
ts:28 [in hydras.Ackermann.wellFormed]
ts:29 [in hydras.Ackermann.codeSubTerm]
ts:29 [in hydras.Ackermann.folLogic3]
ts:3 [in hydras.Ackermann.LNN2LNT]
ts:30 [in hydras.Ackermann.LNN2LNT]
ts:30 [in hydras.Ackermann.subProp]
ts:30 [in hydras.Ackermann.code]
ts:30 [in hydras.Ackermann.wellFormed]
ts:32 [in hydras.Ackermann.wellFormed]
ts:33 [in hydras.Ackermann.model]
ts:33 [in hydras.Ackermann.code]
ts:35 [in hydras.Ackermann.subProp]
ts:36 [in hydras.Ackermann.code]
ts:36 [in hydras.Ackermann.folLogic3]
ts:37 [in hydras.Ackermann.codeSubTerm]
ts:39 [in hydras.Ackermann.LNN2LNT]
ts:4 [in hydras.Ackermann.subAll]
ts:40 [in hydras.Ackermann.subProp]
ts:41 [in hydras.Ackermann.LNN2LNT]
ts:42 [in hydras.Ackermann.LNN2LNT]
ts:420 [in hydras.Ackermann.folProp]
ts:422 [in hydras.Ackermann.folProp]
ts:424 [in hydras.Ackermann.folProp]
ts:43 [in hydras.Ackermann.folLogic3]
ts:44 [in hydras.Ackermann.wellFormed]
ts:49 [in hydras.Ackermann.wellFormed]
ts:50 [in hydras.Ackermann.folLogic3]
ts:53 [in hydras.Ackermann.LNN2LNT]
ts:53 [in hydras.Ackermann.model]
ts:53 [in hydras.Ackermann.subProp]
ts:54 [in hydras.Ackermann.wellFormed]
ts:57 [in hydras.Ackermann.model]
ts:58 [in hydras.Ackermann.subProp]
ts:58 [in hydras.Ackermann.folLogic3]
ts:63 [in hydras.Ackermann.subAll]
ts:63 [in hydras.Ackermann.model]
ts:63 [in hydras.Ackermann.subProp]
ts:63 [in hydras.Ackermann.wellFormed]
ts:65 [in hydras.Ackermann.folProp]
ts:65 [in hydras.Ackermann.fol]
ts:66 [in hydras.Ackermann.subAll]
ts:67 [in hydras.Ackermann.folLogic3]
ts:69 [in hydras.Ackermann.subAll]
ts:7 [in hydras.Ackermann.subProp]
ts:72 [in hydras.Ackermann.fol]
ts:75 [in hydras.Ackermann.model]
ts:76 [in hydras.Ackermann.subProp]
ts:77 [in hydras.Ackermann.fol]
ts:77 [in hydras.Ackermann.folLogic3]
ts:78 [in hydras.Ackermann.subAll]
ts:78 [in hydras.Ackermann.model]
ts:80 [in hydras.Ackermann.subAll]
ts:81 [in hydras.Ackermann.subProp]
ts:82 [in hydras.Ackermann.subAll]
ts:82 [in hydras.Ackermann.model]
ts:82 [in hydras.Ackermann.fol]
ts:86 [in hydras.Ackermann.subProp]
ts:874 [in hydras.Ackermann.codeSubFormula]
ts:878 [in hydras.Ackermann.codeSubFormula]
ts:882 [in hydras.Ackermann.codeSubFormula]
ts:91 [in hydras.Ackermann.folLogic3]
ts:914 [in hydras.Ackermann.codeSubFormula]
ts:919 [in hydras.Ackermann.codeSubFormula]
ts:924 [in hydras.Ackermann.codeSubFormula]
ts:93 [in hydras.Ackermann.fol]
ts:93 [in hydras.Ackermann.folLogic3]
ts:96 [in hydras.Ackermann.fol]
ts:97 [in hydras.Ackermann.folLogic3]
ts:98 [in hydras.Ackermann.subProp]
type:64 [in hydras.Ackermann.codeSubFormula]
type:792 [in hydras.Ackermann.checkPrf]
type:840 [in hydras.Ackermann.checkPrf]
type:843 [in hydras.Ackermann.checkPrf]
t'':115 [in hydras.Gamma0.Gamma0]
t':114 [in hydras.Gamma0.Gamma0]
t':16 [in additions.Trace_exercise]
t':165 [in additions.Addition_Chains]
t':178 [in additions.Addition_Chains]
t':322 [in hydras.rpo.rpo]
t':323 [in hydras.rpo.rpo]
t':70 [in hydras.Gamma0.T2]
t':86 [in additions.Addition_Chains]
t':89 [in hydras.Gamma0.Gamma0]
t':91 [in hydras.Gamma0.Gamma0]
t':93 [in hydras.Gamma0.Gamma0]
t0:171 [in hydras.Ackermann.folProp]
t0:18 [in hydras.Ackermann.codeFreeVar]
t0:18 [in hydras.Ackermann.codeSubTerm]
t0:187 [in hydras.Ackermann.folProp]
t0:20 [in hydras.Ackermann.codeFreeVar]
t0:202 [in hydras.Ackermann.fol]
t0:203 [in hydras.Ackermann.folProp]
t0:219 [in hydras.Ackermann.folProp]
t0:22 [in hydras.Ackermann.codeSubTerm]
t0:225 [in hydras.Ackermann.fol]
t0:24 [in hydras.Ackermann.codeFreeVar]
t0:243 [in hydras.Ackermann.fol]
t0:250 [in hydras.Ackermann.folProp]
t0:26 [in hydras.Ackermann.codeFreeVar]
t0:266 [in hydras.Ackermann.folProp]
t0:293 [in hydras.Ackermann.fol]
t0:299 [in hydras.Ackermann.folProp]
t0:315 [in hydras.Ackermann.folProp]
t0:331 [in hydras.Ackermann.folProp]
t0:339 [in hydras.Ackermann.fol]
t0:347 [in hydras.Ackermann.folProp]
t0:363 [in hydras.Ackermann.folProp]
t0:379 [in hydras.Ackermann.folProp]
t0:383 [in hydras.Ackermann.fol]
t0:40 [in hydras.Ackermann.codeSubTerm]
t0:437 [in hydras.Ackermann.fol]
t0:44 [in hydras.Ackermann.codeSubTerm]
t0:84 [in hydras.Ackermann.codeSubFormula]
t0:861 [in hydras.Ackermann.codeSubFormula]
t0:864 [in hydras.Ackermann.codeSubFormula]
t0:885 [in hydras.Ackermann.codeSubFormula]
t0:888 [in hydras.Ackermann.codeSubFormula]
t0:9 [in hydras.Ackermann.PA]
t0:901 [in hydras.Ackermann.codeSubFormula]
t0:904 [in hydras.Ackermann.codeSubFormula]
t0:928 [in hydras.Ackermann.codeSubFormula]
t0:931 [in hydras.Ackermann.codeSubFormula]
t1:106 [in hydras.rpo.rpo]
t1:113 [in hydras.rpo.rpo]
t1:118 [in hydras.Gamma0.Gamma0]
t1:121 [in hydras.Gamma0.Gamma0]
t1:14 [in hydras.rpo.term]
t1:14 [in hydras.Ackermann.codeFreeVar]
t1:14 [in hydras.rpo.list_set]
t1:144 [in hydras.Ackermann.folProp]
t1:16 [in hydras.Ackermann.codeFreeVar]
t1:197 [in hydras.rpo.term]
t1:206 [in hydras.Gamma0.Gamma0]
t1:208 [in hydras.rpo.term]
t1:230 [in hydras.rpo.term]
t1:236 [in hydras.Gamma0.Gamma0]
t1:238 [in hydras.rpo.term]
t1:240 [in hydras.rpo.term]
t1:244 [in hydras.rpo.term]
t1:252 [in hydras.rpo.term]
t1:256 [in hydras.rpo.term]
t1:27 [in hydras.rpo.term]
t1:275 [in hydras.Gamma0.Gamma0]
t1:31 [in hydras.Epsilon0.Epsilon0rpo]
t1:36 [in Goedel.PRrepresentable]
t1:40 [in Goedel.PRrepresentable]
t1:445 [in hydras.Epsilon0.Paths]
t1:49 [in Goedel.codeSysPrf]
t1:53 [in hydras.rpo.term]
t1:53 [in Goedel.codeSysPrf]
t1:6 [in hydras.rpo.list_permut]
t1:61 [in hydras.rpo.term]
t1:63 [in hydras.rpo.term]
t1:65 [in Goedel.codeSysPrf]
t1:68 [in hydras.rpo.term]
t1:684 [in hydras.Gamma0.Gamma0]
t1:69 [in Goedel.codeSysPrf]
t1:76 [in hydras.rpo.term]
t1:81 [in hydras.rpo.term]
t1:94 [in hydras.Gamma0.Gamma0]
t2:108 [in hydras.rpo.rpo]
t2:115 [in hydras.rpo.rpo]
t2:119 [in hydras.Gamma0.Gamma0]
t2:122 [in hydras.Gamma0.Gamma0]
t2:145 [in hydras.Ackermann.folProp]
t2:15 [in hydras.rpo.term]
t2:15 [in hydras.rpo.list_set]
t2:198 [in hydras.rpo.term]
t2:207 [in hydras.Gamma0.Gamma0]
t2:209 [in hydras.rpo.term]
t2:229 [in hydras.rpo.term]
t2:237 [in hydras.Gamma0.Gamma0]
t2:239 [in hydras.rpo.term]
t2:241 [in hydras.rpo.term]
t2:243 [in hydras.rpo.term]
t2:253 [in hydras.rpo.term]
t2:257 [in hydras.rpo.term]
t2:261 [in hydras.rpo.term]
t2:263 [in hydras.rpo.term]
t2:276 [in hydras.Gamma0.Gamma0]
t2:28 [in hydras.rpo.term]
t2:32 [in hydras.Epsilon0.Epsilon0rpo]
t2:37 [in Goedel.PRrepresentable]
t2:41 [in Goedel.PRrepresentable]
t2:446 [in hydras.Epsilon0.Paths]
t2:50 [in Goedel.codeSysPrf]
t2:52 [in hydras.rpo.term]
t2:54 [in Goedel.codeSysPrf]
t2:62 [in hydras.rpo.term]
t2:64 [in hydras.rpo.term]
t2:66 [in Goedel.codeSysPrf]
t2:67 [in hydras.rpo.term]
t2:685 [in hydras.Gamma0.Gamma0]
t2:7 [in hydras.rpo.list_permut]
t2:70 [in Goedel.codeSysPrf]
t2:77 [in hydras.rpo.term]
t2:82 [in hydras.rpo.term]
t2:95 [in hydras.Gamma0.Gamma0]
t3:120 [in hydras.Gamma0.Gamma0]
t3:123 [in hydras.Gamma0.Gamma0]
t:1 [in hydras.Schutte.Correctness_E0]
t:1 [in hydras.Ackermann.LNN2LNT]
t:1 [in hydras.Ackermann.PAtheory]
T:1 [in gaia_hydras.GPrelude]
T:1 [in hydras.Ackermann.wConsistent]
t:10 [in hydras.MoreAck.BadSubst]
t:10 [in hydras.Ackermann.folLogic2]
t:10 [in hydras.Ackermann.LNN2LNT]
T:10 [in hydras.Ackermann.folLogic]
t:100 [in hydras.Ackermann.codeFreeVar]
t:100 [in hydras.Ackermann.codeSubTerm]
T:100 [in hydras.Ackermann.LNT]
t:100 [in hydras.Ackermann.wellFormed]
t:100 [in additions.Addition_Chains]
t:101 [in hydras.Ackermann.LNN2LNT]
T:101 [in hydras.Ackermann.LNN]
t:101 [in hydras.Ackermann.subProp]
t:101 [in hydras.Ackermann.wellFormed]
t:102 [in hydras.Ackermann.codeFreeVar]
t:102 [in hydras.Ackermann.codeSubTerm]
t:102 [in hydras.Ackermann.wellFormed]
T:102 [in hydras.Ackermann.folLogic]
t:102 [in hydras.rpo.rpo]
t:103 [in hydras.rpo.term]
t:103 [in hydras.Ackermann.codeFreeVar]
T:103 [in hydras.Ackermann.LNN]
T:103 [in hydras.Ackermann.LNT]
t:104 [in hydras.Ackermann.codeFreeVar]
t:104 [in hydras.Ackermann.codeSubTerm]
t:104 [in hydras.Ackermann.wellFormed]
T:104 [in hydras.Ackermann.folLogic3]
T:104 [in hydras.Ackermann.folReplace]
t:105 [in hydras.Ackermann.codeFreeVar]
T:105 [in hydras.Ackermann.folLogic]
t:106 [in hydras.rpo.term]
t:106 [in hydras.Ackermann.codeFreeVar]
t:106 [in hydras.Ackermann.codeSubTerm]
T:106 [in hydras.Ackermann.LNN]
T:106 [in hydras.Ackermann.LNT]
t:106 [in hydras.Ackermann.wellFormed]
t:106 [in additions.Addition_Chains]
t:107 [in hydras.Ackermann.codeFreeVar]
T:107 [in hydras.Ackermann.folLogic]
t:108 [in hydras.Ackermann.codeFreeVar]
t:108 [in hydras.Ackermann.codeSubTerm]
t:108 [in hydras.Ackermann.LNN2LNT]
t:108 [in hydras.Ackermann.wellFormed]
t:108 [in hydras.Hydra.Hydra_Definitions]
t:109 [in hydras.Ackermann.codeFreeVar]
T:109 [in hydras.Ackermann.LNN]
T:109 [in hydras.Ackermann.LNT]
t:109 [in hydras.Ackermann.subProp]
T:11 [in hydras.Ackermann.folReplace]
t:110 [in hydras.Ackermann.codeFreeVar]
t:110 [in hydras.Ackermann.codeSubTerm]
t:110 [in hydras.Ackermann.wellFormed]
T:111 [in hydras.Ackermann.folLogic]
t:111 [in hydras.Hydra.Hydra_Definitions]
t:112 [in hydras.Ackermann.codeFreeVar]
t:112 [in hydras.Ackermann.codeSubTerm]
T:112 [in hydras.Ackermann.LNN]
T:112 [in hydras.Ackermann.LNT]
t:112 [in hydras.Ackermann.wellFormed]
T:112 [in hydras.Ackermann.folReplace]
T:113 [in hydras.Ackermann.subAll]
t:113 [in hydras.Gamma0.Gamma0]
t:114 [in hydras.Gamma0.T2]
t:114 [in hydras.Ackermann.codeFreeVar]
t:114 [in hydras.Ackermann.codeSubTerm]
t:114 [in hydras.Ackermann.wellFormed]
T:114 [in hydras.Ackermann.folLogic]
t:114 [in additions.Addition_Chains]
t:115 [in hydras.rpo.term]
T:115 [in hydras.Ackermann.LNN]
T:115 [in hydras.Ackermann.LNT]
t:115 [in hydras.Ackermann.wellFormed]
t:116 [in hydras.Ackermann.codeFreeVar]
t:116 [in hydras.Ackermann.codeSubTerm]
t:116 [in hydras.Ackermann.wellFormed]
t:116 [in hydras.Epsilon0.Paths]
t:117 [in hydras.rpo.term]
t:117 [in hydras.Gamma0.T2]
t:117 [in hydras.Ackermann.codeSubTerm]
T:117 [in hydras.Ackermann.LNT]
t:117 [in hydras.Ackermann.wellFormed]
T:117 [in hydras.Ackermann.folLogic]
t:117 [in hydras.rpo.rpo]
t:118 [in hydras.Gamma0.T2]
t:118 [in hydras.Ackermann.codeFreeVar]
t:118 [in hydras.Ackermann.codeSubTerm]
T:118 [in hydras.Ackermann.LNN]
t:118 [in hydras.Ackermann.wellFormed]
t:119 [in hydras.Ackermann.codeSubTerm]
t:119 [in hydras.Ackermann.wellFormed]
T:119 [in hydras.Ackermann.folLogic]
t:12 [in hydras.Ackermann.codeSubTerm]
T:12 [in hydras.Ackermann.LNT]
t:12 [in hydras.Ackermann.wellFormed]
t:12 [in additions.Addition_Chains]
t:12 [in hydras.MoreAck.FolExamples]
t:120 [in hydras.Ackermann.codeFreeVar]
t:120 [in hydras.Ackermann.codeSubTerm]
T:120 [in hydras.Ackermann.LNN]
t:120 [in hydras.Ackermann.wellFormed]
t:120 [in additions.Addition_Chains]
t:121 [in hydras.Ackermann.codeSubTerm]
T:121 [in hydras.Ackermann.LNT]
t:121 [in hydras.Epsilon0.Paths]
t:122 [in hydras.Ackermann.codeFreeVar]
t:122 [in hydras.Ackermann.codeSubTerm]
t:122 [in hydras.Ackermann.wellFormed]
T:122 [in hydras.Ackermann.folLogic]
t:123 [in hydras.Ackermann.codeFreeVar]
t:124 [in hydras.rpo.term]
t:124 [in hydras.Ackermann.codeFreeVar]
T:124 [in hydras.Ackermann.LNN]
T:124 [in hydras.Ackermann.LNT]
t:124 [in hydras.Ackermann.wellFormed]
t:125 [in hydras.Ackermann.codeFreeVar]
t:125 [in hydras.Ackermann.codeSubTerm]
t:1257 [in hydras.Ackermann.codeSubFormula]
t:126 [in hydras.Ackermann.codeFreeVar]
t:126 [in hydras.Ackermann.wellFormed]
T:126 [in hydras.Ackermann.folLogic]
t:127 [in hydras.Ackermann.codeFreeVar]
T:127 [in hydras.Ackermann.LNN]
T:127 [in hydras.Ackermann.LNT]
t:127 [in additions.Addition_Chains]
t:127 [in hydras.rpo.rpo]
t:128 [in hydras.Ackermann.codeFreeVar]
t:128 [in hydras.Ackermann.codeSubTerm]
t:128 [in hydras.Ackermann.wellFormed]
t:129 [in hydras.rpo.term]
t:129 [in hydras.Ackermann.codeFreeVar]
T:129 [in hydras.Ackermann.LNT]
t:129 [in hydras.Epsilon0.Paths]
t:13 [in hydras.Ackermann.subAll]
T:13 [in hydras.Ackermann.folLogic]
T:13 [in hydras.Ackermann.folLogic3]
T:130 [in hydras.Ackermann.LNN]
t:130 [in hydras.Ackermann.wellFormed]
t:131 [in hydras.rpo.term]
t:131 [in hydras.Ackermann.codeSubTerm]
T:132 [in hydras.Ackermann.LNN]
T:132 [in hydras.Ackermann.LNT]
t:132 [in hydras.Ackermann.wellFormed]
t:134 [in hydras.Ackermann.codeSubTerm]
t:134 [in hydras.Ackermann.wellFormed]
t:134 [in additions.Addition_Chains]
T:135 [in hydras.Ackermann.LNN]
t:135 [in hydras.Epsilon0.Paths]
t:136 [in hydras.rpo.term]
T:136 [in hydras.Ackermann.LNT]
t:136 [in hydras.Ackermann.wellFormed]
t:137 [in hydras.Ackermann.codeSubTerm]
T:138 [in hydras.Ackermann.LNT]
T:138 [in hydras.Ackermann.subProp]
t:138 [in hydras.Ackermann.wellFormed]
t:138 [in hydras.rpo.rpo]
T:139 [in hydras.Ackermann.LNN]
T:14 [in hydras.Ackermann.LNT]
T:14 [in hydras.Ackermann.folProp]
t:14 [in hydras.Ackermann.wellFormed]
T:14 [in hydras.Ackermann.wConsistent]
t:140 [in hydras.Ackermann.codeSubTerm]
t:140 [in hydras.Ackermann.wellFormed]
t:141 [in hydras.rpo.term]
T:141 [in hydras.Ackermann.LNN]
T:141 [in hydras.Ackermann.LNT]
t:141 [in hydras.Epsilon0.Paths]
t:142 [in hydras.Ackermann.wellFormed]
t:143 [in hydras.Ackermann.codeSubTerm]
T:144 [in hydras.Ackermann.LNN]
t:144 [in hydras.Ackermann.wellFormed]
t:145 [in hydras.rpo.term]
T:145 [in hydras.Ackermann.LNT]
t:146 [in hydras.Ackermann.codeSubTerm]
t:146 [in hydras.Ackermann.wellFormed]
t:147 [in additions.Euclidean_Chains]
t:147 [in hydras.Epsilon0.Paths]
t:148 [in hydras.Ackermann.codeSubTerm]
T:148 [in hydras.Ackermann.LNN]
t:148 [in hydras.Ackermann.wellFormed]
t:149 [in hydras.rpo.term]
t:15 [in hydras.Ackermann.codeSubTerm]
T:15 [in hydras.Ackermann.LNN]
t:15 [in additions.Trace_exercise]
t:15 [in hydras.rpo.list_permut]
t:150 [in hydras.Ackermann.codeSubTerm]
T:150 [in hydras.Ackermann.LNT]
t:150 [in hydras.Ackermann.wellFormed]
t:151 [in hydras.Hydra.Hydra_Lemmas]
t:152 [in hydras.Ackermann.codeSubTerm]
t:152 [in hydras.Ackermann.wellFormed]
t:152 [in hydras.rpo.rpo]
T:153 [in hydras.Ackermann.LNN]
t:153 [in hydras.Ackermann.wellFormed]
t:154 [in hydras.Ackermann.codeSubTerm]
t:154 [in hydras.Ackermann.wellFormed]
t:154 [in hydras.Hydra.Hydra_Lemmas]
t:154 [in hydras.rpo.rpo]
T:155 [in hydras.Ackermann.LNT]
t:155 [in hydras.Ackermann.wellFormed]
t:156 [in hydras.Ackermann.codeSubTerm]
t:156 [in hydras.Ackermann.wellFormed]
t:156 [in hydras.rpo.rpo]
T:157 [in hydras.Ackermann.subProp]
t:157 [in hydras.Ackermann.wellFormed]
t:158 [in hydras.Ackermann.codeSubTerm]
T:158 [in hydras.Ackermann.LNN]
t:158 [in hydras.Ackermann.wellFormed]
t:159 [in hydras.Epsilon0.Large_Sets]
t:159 [in hydras.Ackermann.wellFormed]
T:16 [in hydras.Ackermann.folLogic]
t:16 [in hydras.rpo.list_permut]
T:16 [in hydras.Ackermann.folReplace]
t:160 [in hydras.Ackermann.codeSubTerm]
t:160 [in hydras.Ackermann.wellFormed]
T:161 [in hydras.Ackermann.LNN]
T:161 [in hydras.Ackermann.subProp]
t:162 [in hydras.Ackermann.codeSubTerm]
t:162 [in hydras.Ackermann.wellFormed]
t:164 [in hydras.Ackermann.codeSubTerm]
t:164 [in hydras.Ackermann.wellFormed]
t:164 [in additions.Addition_Chains]
t:166 [in hydras.Ackermann.codeSubTerm]
T:166 [in hydras.Ackermann.subProp]
t:166 [in hydras.Ackermann.wellFormed]
t:168 [in hydras.Ackermann.codeSubTerm]
t:168 [in hydras.Ackermann.wellFormed]
t:17 [in hydras.rpo.term]
t:17 [in hydras.Ackermann.LNN2LNT]
T:17 [in hydras.Ackermann.LNN]
T:17 [in hydras.Ackermann.LNT]
t:170 [in hydras.Ackermann.codeSubTerm]
t:170 [in hydras.Ackermann.folProp]
t:170 [in hydras.Ackermann.wellFormed]
t:171 [in additions.Addition_Chains]
t:172 [in hydras.Ackermann.codeSubTerm]
t:172 [in hydras.Ackermann.wellFormed]
t:173 [in hydras.Ackermann.wellFormed]
t:173 [in hydras.rpo.rpo]
t:174 [in hydras.rpo.term]
t:174 [in hydras.Ackermann.codeSubTerm]
t:174 [in hydras.Ackermann.wellFormed]
t:175 [in hydras.Ackermann.wellFormed]
t:176 [in hydras.Ackermann.codeSubTerm]
t:176 [in hydras.Ackermann.wellFormed]
t:177 [in hydras.Ackermann.subAll]
t:177 [in hydras.Ackermann.wellFormed]
t:177 [in additions.Addition_Chains]
t:178 [in hydras.rpo.term]
t:178 [in hydras.Ackermann.folProp]
t:178 [in additions.Euclidean_Chains]
t:178 [in hydras.Ackermann.wellFormed]
t:179 [in hydras.Ackermann.codeSubTerm]
t:179 [in hydras.Ackermann.wellFormed]
t:18 [in hydras.Ackermann.model]
t:18 [in hydras.rpo.list_permut]
t:182 [in hydras.rpo.term]
t:182 [in hydras.Ackermann.codeSubTerm]
t:182 [in hydras.rpo.rpo]
t:184 [in hydras.Ackermann.codeSubTerm]
t:186 [in hydras.Ackermann.codeSubTerm]
t:186 [in hydras.Ackermann.folProp]
T:188 [in hydras.Ackermann.subAll]
t:188 [in hydras.Ackermann.codeSubTerm]
T:19 [in hydras.Ackermann.folLogic]
T:19 [in hydras.Ackermann.folReplace]
t:190 [in hydras.Ackermann.codeSubTerm]
t:192 [in hydras.Ackermann.codeSubTerm]
t:194 [in hydras.Ackermann.codeSubTerm]
t:194 [in hydras.Ackermann.folProp]
t:195 [in hydras.rpo.rpo]
t:196 [in hydras.Ackermann.codeSubTerm]
t:197 [in hydras.Ackermann.codeSubTerm]
t:198 [in hydras.Ackermann.codeSubTerm]
t:199 [in hydras.Ackermann.codeSubTerm]
t:2 [in hydras.Ackermann.subAll]
T:2 [in hydras.Ackermann.folLogic2]
t:2 [in hydras.Ackermann.subProp]
T:2 [in hydras.Ackermann.folLogic]
T:2 [in hydras.Ackermann.folLogic3]
T:20 [in hydras.Ackermann.LNN]
T:20 [in hydras.Ackermann.LNT]
t:20 [in hydras.Ackermann.code]
t:200 [in hydras.rpo.term]
t:200 [in hydras.Ackermann.codeSubTerm]
t:201 [in hydras.Ackermann.codeSubTerm]
t:201 [in hydras.Ackermann.fol]
t:201 [in hydras.rpo.rpo]
t:202 [in hydras.Ackermann.codeSubTerm]
t:202 [in hydras.Ackermann.folProp]
t:203 [in hydras.Ackermann.codeSubTerm]
t:203 [in hydras.rpo.rpo]
t:204 [in hydras.Ackermann.codeSubTerm]
t:204 [in hydras.rpo.rpo]
t:205 [in hydras.rpo.term]
t:205 [in hydras.Ackermann.fol]
t:206 [in hydras.Ackermann.codeSubTerm]
t:207 [in hydras.rpo.term]
t:207 [in hydras.Ackermann.subAll]
t:208 [in hydras.Ackermann.codeSubTerm]
T:21 [in hydras.Ackermann.folLogic]
t:210 [in hydras.Ackermann.codeSubTerm]
t:210 [in hydras.Ackermann.folProp]
t:212 [in hydras.rpo.rpo]
t:213 [in hydras.rpo.term]
t:214 [in hydras.rpo.term]
t:216 [in hydras.rpo.rpo]
t:218 [in hydras.rpo.term]
t:218 [in hydras.Ackermann.folProp]
t:219 [in hydras.rpo.term]
t:22 [in hydras.rpo.term]
t:22 [in hydras.Ackermann.wellFormed]
T:22 [in hydras.Ackermann.folReplace]
t:220 [in hydras.rpo.rpo]
t:224 [in hydras.rpo.term]
t:224 [in hydras.Ackermann.fol]
t:225 [in hydras.rpo.term]
T:226 [in hydras.Ackermann.subAll]
t:226 [in hydras.Ackermann.folProp]
t:226 [in hydras.rpo.rpo]
t:228 [in hydras.Ackermann.fol]
T:23 [in hydras.Ackermann.LNN]
T:23 [in hydras.Ackermann.LNT]
t:23 [in hydras.Ackermann.wellFormed]
T:23 [in hydras.Ackermann.folLogic]
T:23 [in hydras.Ackermann.folLogic3]
t:235 [in hydras.Gamma0.Gamma0]
t:242 [in hydras.Ackermann.fol]
t:246 [in hydras.Ackermann.fol]
t:249 [in hydras.Ackermann.folProp]
t:25 [in hydras.rpo.term]
t:25 [in hydras.Ackermann.subProp]
t:25 [in hydras.Ackermann.wellFormed]
T:25 [in hydras.Ackermann.folReplace]
T:256 [in hydras.Ackermann.subAll]
t:257 [in hydras.Ackermann.folProp]
T:26 [in hydras.Ackermann.LNN]
T:26 [in hydras.Ackermann.LNT]
T:26 [in hydras.Ackermann.folLogic]
t:260 [in hydras.rpo.term]
t:262 [in hydras.rpo.term]
t:264 [in hydras.rpo.term]
t:265 [in hydras.Ackermann.folProp]
t:268 [in hydras.Gamma0.Gamma0]
t:27 [in hydras.Ackermann.code]
t:271 [in hydras.rpo.term]
t:273 [in hydras.Ackermann.folProp]
t:274 [in hydras.rpo.term]
t:274 [in hydras.Gamma0.Gamma0]
t:28 [in hydras.Ackermann.codeFreeVar]
t:28 [in hydras.Ackermann.LNN2LNT]
T:28 [in gaia_hydras.onType]
t:281 [in hydras.rpo.term]
t:284 [in hydras.rpo.term]
T:29 [in hydras.Ackermann.LNN]
T:29 [in hydras.Ackermann.LNT]
T:29 [in hydras.Ackermann.folLogic]
T:29 [in hydras.Ackermann.folReplace]
t:292 [in hydras.Ackermann.fol]
t:293 [in hydras.rpo.term]
t:293 [in hydras.rpo.rpo]
t:295 [in hydras.rpo.term]
t:295 [in hydras.rpo.rpo]
t:296 [in hydras.Ackermann.fol]
t:297 [in hydras.rpo.rpo]
T:298 [in hydras.Ackermann.subAll]
t:298 [in hydras.Ackermann.folProp]
t:30 [in hydras.Ackermann.codeFreeVar]
t:30 [in hydras.Epsilon0.Epsilon0rpo]
T:30 [in hydras.Ackermann.folLogic2]
t:301 [in hydras.rpo.rpo]
t:302 [in hydras.rpo.rpo]
t:303 [in hydras.rpo.rpo]
t:304 [in hydras.rpo.term]
t:304 [in hydras.rpo.rpo]
t:305 [in hydras.rpo.rpo]
t:306 [in hydras.Ackermann.folProp]
t:306 [in hydras.rpo.rpo]
t:309 [in hydras.rpo.rpo]
T:31 [in hydras.Ackermann.LNT]
t:310 [in hydras.rpo.term]
t:311 [in hydras.rpo.term]
t:311 [in hydras.rpo.rpo]
t:313 [in hydras.rpo.rpo]
t:314 [in hydras.Ackermann.folProp]
t:316 [in hydras.rpo.term]
T:317 [in hydras.Ackermann.subAll]
t:319 [in hydras.rpo.rpo]
t:32 [in hydras.Ackermann.codeFreeVar]
T:32 [in hydras.Ackermann.LNN]
T:32 [in hydras.Ackermann.folLogic]
t:321 [in hydras.rpo.term]
t:322 [in hydras.Ackermann.folProp]
t:324 [in hydras.rpo.term]
t:327 [in hydras.rpo.term]
t:33 [in hydras.rpo.term]
T:33 [in hydras.Ackermann.LNT]
t:33 [in hydras.Ackermann.wellFormed]
T:33 [in hydras.Ackermann.folReplace]
t:330 [in hydras.Ackermann.folProp]
t:338 [in hydras.Ackermann.folProp]
t:338 [in hydras.Ackermann.fol]
T:339 [in hydras.Ackermann.subAll]
t:34 [in hydras.rpo.term]
t:34 [in hydras.Ackermann.codeFreeVar]
T:34 [in hydras.Ackermann.LNN]
t:342 [in hydras.Ackermann.fol]
T:344 [in hydras.Ackermann.subAll]
t:346 [in hydras.Ackermann.folProp]
T:349 [in hydras.Ackermann.subAll]
T:35 [in hydras.Ackermann.LNT]
t:35 [in hydras.Ackermann.wellFormed]
T:35 [in hydras.Ackermann.folLogic]
t:353 [in hydras.rpo.term]
t:354 [in hydras.Ackermann.folProp]
t:356 [in hydras.rpo.term]
T:356 [in hydras.Ackermann.subAll]
t:356 [in hydras.Ackermann.checkPrf]
t:36 [in hydras.Ackermann.folProof]
t:36 [in hydras.Ackermann.codeFreeVar]
T:36 [in hydras.Ackermann.LNN]
t:361 [in hydras.rpo.term]
t:362 [in hydras.Ackermann.folProp]
T:369 [in hydras.Ackermann.subAll]
t:37 [in hydras.Ackermann.LNN2LNT]
T:37 [in hydras.Ackermann.folLogic]
t:37 [in hydras.MoreAck.FolExamples]
t:370 [in hydras.Ackermann.folProp]
t:378 [in hydras.Ackermann.folProp]
t:38 [in hydras.Ackermann.codeFreeVar]
T:38 [in hydras.Ackermann.LNN]
T:38 [in hydras.Ackermann.LNT]
T:38 [in hydras.Ackermann.folReplace]
t:382 [in hydras.Ackermann.fol]
t:386 [in hydras.Ackermann.folProp]
t:386 [in hydras.Ackermann.fol]
t:39 [in hydras.rpo.term]
t:4 [in gaia_hydras.T1Choice]
t:4 [in hydras.MoreAck.BadSubst]
T:4 [in hydras.Ackermann.folLogic]
T:4 [in hydras.Ackermann.folLogic3]
T:4 [in hydras.MoreAck.FolExamples]
t:40 [in hydras.rpo.term]
t:40 [in hydras.Ackermann.codeFreeVar]
T:41 [in hydras.Ackermann.LNN]
T:41 [in hydras.Ackermann.LNT]
T:41 [in hydras.Ackermann.folLogic]
t:417 [in hydras.Ackermann.folProp]
t:42 [in hydras.Ackermann.codeFreeVar]
t:42 [in hydras.Prelude.MoreLists]
t:42 [in hydras.Ackermann.wellFormed]
T:43 [in hydras.Ackermann.folReplace]
t:43 [in hydras.rpo.rpo]
t:436 [in hydras.Ackermann.fol]
t:439 [in hydras.Ackermann.fol]
T:44 [in hydras.Ackermann.folProof]
t:44 [in hydras.Ackermann.codeFreeVar]
T:44 [in hydras.Ackermann.LNN]
T:44 [in hydras.Ackermann.LNT]
T:44 [in hydras.Ackermann.folProp]
t:441 [in hydras.Ackermann.folProp]
T:45 [in hydras.Ackermann.folLogic]
t:46 [in hydras.rpo.term]
t:46 [in hydras.Ackermann.codeFreeVar]
t:47 [in hydras.rpo.term]
T:47 [in hydras.Ackermann.LNN]
T:47 [in hydras.Ackermann.LNT]
t:47 [in hydras.Ackermann.wellFormed]
t:474 [in hydras.Epsilon0.Paths]
t:48 [in hydras.Ackermann.codeFreeVar]
t:48 [in hydras.Ackermann.subProp]
t:48 [in hydras.Ackermann.fol]
T:48 [in hydras.Ackermann.folLogic]
T:48 [in hydras.Ackermann.folReplace]
T:48 [in hydras.MoreAck.FolExamples]
T:49 [in hydras.Ackermann.folProof]
t:49 [in hydras.Ackermann.folProp]
t:5 [in hydras.Ackermann.codeFreeVar]
t:5 [in hydras.Ackermann.codeSubTerm]
t:50 [in hydras.Ackermann.codeFreeVar]
T:50 [in hydras.Ackermann.LNN]
t:50 [in hydras.Ackermann.model]
T:51 [in hydras.Ackermann.folProof]
T:51 [in hydras.Ackermann.LNT]
t:51 [in hydras.Ackermann.fol]
T:51 [in hydras.Ackermann.folLogic]
t:52 [in hydras.Ackermann.codeFreeVar]
t:52 [in hydras.Ackermann.codeSubTerm]
t:52 [in hydras.Ackermann.wellFormed]
T:53 [in hydras.Ackermann.folProof]
t:53 [in hydras.Ackermann.folProp]
T:53 [in hydras.Ackermann.folReplace]
t:534 [in hydras.Epsilon0.Paths]
t:54 [in hydras.Ackermann.codeFreeVar]
T:54 [in hydras.Ackermann.LNN]
T:54 [in hydras.Ackermann.folLogic]
t:543 [in hydras.Epsilon0.Paths]
T:55 [in hydras.Ackermann.LNT]
t:55 [in hydras.Ackermann.wellFormed]
t:55 [in hydras.Ackermann.fol]
t:56 [in hydras.Ackermann.codeFreeVar]
t:56 [in hydras.Ackermann.codeSubTerm]
T:56 [in hydras.Ackermann.folLogic3]
t:57 [in hydras.Ackermann.wellFormed]
T:57 [in hydras.Ackermann.folLogic]
t:57 [in hydras.rpo.rpo]
t:58 [in hydras.Ackermann.subAll]
t:58 [in hydras.Ackermann.codeFreeVar]
T:58 [in hydras.Ackermann.LNN]
T:58 [in hydras.Ackermann.LNT]
T:58 [in hydras.Ackermann.folReplace]
t:59 [in hydras.rpo.rpo]
T:6 [in hydras.Ackermann.folLogic2]
T:6 [in hydras.Ackermann.wConsistent]
T:6 [in hydras.Ackermann.folReplace]
t:60 [in hydras.Ackermann.codeFreeVar]
t:60 [in hydras.Ackermann.codeSubTerm]
t:60 [in hydras.Ackermann.wellFormed]
T:60 [in hydras.Ackermann.folLogic]
t:61 [in hydras.Ackermann.codeFreeVar]
T:61 [in hydras.Ackermann.LNN]
T:61 [in hydras.Ackermann.LNT]
t:61 [in hydras.rpo.rpo]
t:62 [in hydras.Ackermann.codeFreeVar]
t:63 [in hydras.Ackermann.codeFreeVar]
T:63 [in hydras.Ackermann.folLogic]
T:63 [in hydras.Ackermann.folReplace]
t:64 [in hydras.Ackermann.codeFreeVar]
t:64 [in hydras.Ackermann.codeSubTerm]
T:64 [in hydras.Ackermann.LNN]
T:64 [in hydras.Ackermann.LNT]
t:64 [in hydras.Ackermann.wellFormed]
t:65 [in hydras.Ackermann.codeFreeVar]
T:65 [in hydras.Ackermann.folLogic3]
T:65 [in Goedel.rosser]
t:66 [in hydras.Ackermann.codeFreeVar]
t:66 [in hydras.Ackermann.wellFormed]
T:66 [in hydras.Ackermann.folLogic]
t:67 [in hydras.Ackermann.codeFreeVar]
T:67 [in hydras.Ackermann.LNN]
T:67 [in hydras.Ackermann.LNT]
T:67 [in hydras.Ackermann.folReplace]
t:68 [in hydras.Ackermann.codeFreeVar]
t:68 [in hydras.Ackermann.codeSubTerm]
T:68 [in hydras.Ackermann.LNN2LNT]
t:68 [in hydras.Ackermann.wellFormed]
t:69 [in hydras.Gamma0.T2]
t:69 [in hydras.Ackermann.codeFreeVar]
t:69 [in hydras.Ackermann.folLogic]
t:692 [in hydras.Ackermann.codeSubFormula]
t:695 [in hydras.Ackermann.codeSubFormula]
t:698 [in hydras.Ackermann.codeSubFormula]
t:7 [in hydras.Ackermann.codeFreeVar]
T:7 [in hydras.Ackermann.folLogic]
T:7 [in hydras.MoreAck.FolExamples]
t:70 [in hydras.Schutte.Correctness_E0]
t:70 [in hydras.Ackermann.codeFreeVar]
T:70 [in hydras.Ackermann.LNN]
T:70 [in hydras.Ackermann.LNT]
t:70 [in hydras.Ackermann.wellFormed]
T:70 [in hydras.Ackermann.folLogic]
t:701 [in hydras.Ackermann.codeSubFormula]
t:704 [in hydras.Ackermann.codeSubFormula]
t:707 [in hydras.Ackermann.codeSubFormula]
t:71 [in hydras.Ackermann.model]
t:71 [in hydras.Ackermann.subProp]
T:71 [in hydras.Ackermann.folReplace]
t:710 [in hydras.Ackermann.codeSubFormula]
t:713 [in hydras.Ackermann.codeSubFormula]
t:716 [in hydras.Ackermann.codeSubFormula]
t:719 [in hydras.Ackermann.codeSubFormula]
t:72 [in hydras.Ackermann.codeFreeVar]
t:72 [in hydras.Ackermann.codeSubTerm]
t:72 [in hydras.Ackermann.wellFormed]
t:722 [in hydras.Ackermann.codeSubFormula]
t:725 [in hydras.Ackermann.codeSubFormula]
t:727 [in hydras.Ackermann.codeSubFormula]
t:729 [in hydras.Ackermann.codeSubFormula]
t:73 [in hydras.Schutte.Correctness_E0]
t:73 [in hydras.Ackermann.subAll]
T:73 [in hydras.Ackermann.LNN]
T:73 [in hydras.Ackermann.LNT]
T:73 [in hydras.Ackermann.folLogic]
t:731 [in hydras.Ackermann.codeSubFormula]
t:733 [in hydras.Ackermann.codeSubFormula]
t:735 [in hydras.Ackermann.codeSubFormula]
t:737 [in hydras.Ackermann.codeSubFormula]
t:739 [in hydras.Ackermann.codeSubFormula]
t:74 [in hydras.Ackermann.codeFreeVar]
t:74 [in hydras.Ackermann.wellFormed]
T:74 [in Goedel.rosser]
t:741 [in hydras.Ackermann.codeSubFormula]
t:743 [in hydras.Ackermann.codeSubFormula]
t:745 [in hydras.Ackermann.codeSubFormula]
t:747 [in hydras.Ackermann.codeSubFormula]
t:749 [in hydras.Ackermann.codeSubFormula]
T:75 [in hydras.Ackermann.folLogic3]
t:750 [in hydras.Ackermann.codeSubFormula]
t:751 [in hydras.Ackermann.codeSubFormula]
t:752 [in hydras.Ackermann.codeSubFormula]
t:753 [in hydras.Ackermann.codeSubFormula]
t:754 [in hydras.Ackermann.codeSubFormula]
t:755 [in hydras.Epsilon0.T1]
t:76 [in hydras.Schutte.Correctness_E0]
t:76 [in hydras.Ackermann.codeFreeVar]
t:76 [in hydras.Ackermann.codeSubTerm]
T:76 [in hydras.Ackermann.LNN]
T:76 [in hydras.Ackermann.LNT]
t:76 [in hydras.Ackermann.wellFormed]
t:76 [in hydras.Ackermann.folLogic]
T:76 [in hydras.Ackermann.folReplace]
t:76 [in hydras.rpo.rpo]
t:761 [in hydras.Ackermann.codeSubFormula]
t:763 [in hydras.Ackermann.codeSubFormula]
t:765 [in hydras.Ackermann.codeSubFormula]
t:767 [in hydras.Ackermann.codeSubFormula]
t:769 [in hydras.Ackermann.codeSubFormula]
T:77 [in hydras.Ackermann.folLogic]
t:771 [in hydras.Ackermann.codeSubFormula]
t:773 [in hydras.Ackermann.codeSubFormula]
t:775 [in hydras.Ackermann.codeSubFormula]
t:777 [in hydras.Ackermann.codeSubFormula]
t:779 [in hydras.Ackermann.codeSubFormula]
t:78 [in hydras.Ackermann.codeFreeVar]
t:78 [in hydras.Ackermann.wellFormed]
t:782 [in hydras.Ackermann.codeSubFormula]
t:785 [in hydras.Ackermann.codeSubFormula]
t:787 [in hydras.Ackermann.codeSubFormula]
t:789 [in hydras.Ackermann.codeSubFormula]
T:79 [in hydras.Ackermann.LNN]
t:79 [in hydras.Ackermann.LNT]
t:791 [in hydras.Ackermann.codeSubFormula]
t:793 [in hydras.Ackermann.codeSubFormula]
t:795 [in hydras.Ackermann.codeSubFormula]
t:797 [in hydras.Ackermann.codeSubFormula]
t:799 [in hydras.Ackermann.codeSubFormula]
t:8 [in hydras.Ackermann.codeFreeVar]
t:8 [in hydras.MoreAck.AckNotPR]
t:8 [in hydras.Ackermann.PA]
T:8 [in hydras.Ackermann.Deduction]
t:80 [in hydras.Ackermann.codeFreeVar]
t:80 [in hydras.Ackermann.codeSubTerm]
T:80 [in hydras.Ackermann.LNT]
t:80 [in hydras.Ackermann.wellFormed]
t:80 [in hydras.rpo.rpo]
t:800 [in hydras.Ackermann.codeSubFormula]
t:801 [in hydras.Ackermann.codeSubFormula]
t:802 [in hydras.Ackermann.codeSubFormula]
t:803 [in hydras.Ackermann.codeSubFormula]
t:804 [in hydras.Ackermann.codeSubFormula]
t:805 [in hydras.Ackermann.codeSubFormula]
t:806 [in hydras.Ackermann.codeSubFormula]
t:807 [in hydras.Ackermann.codeSubFormula]
t:809 [in hydras.Ackermann.codeSubFormula]
T:81 [in hydras.Ackermann.folLogic]
T:81 [in hydras.Ackermann.folReplace]
t:811 [in hydras.Ackermann.codeSubFormula]
t:811 [in gaia_hydras.nfwfgaia]
t:813 [in hydras.Ackermann.codeSubFormula]
t:815 [in hydras.Ackermann.codeSubFormula]
t:817 [in hydras.Ackermann.codeSubFormula]
t:82 [in hydras.Ackermann.codeFreeVar]
t:82 [in hydras.Ackermann.LNN]
t:82 [in hydras.Ackermann.wellFormed]
t:83 [in hydras.rpo.more_list]
T:83 [in hydras.Ackermann.LNN]
T:83 [in hydras.Ackermann.LNT]
t:83 [in hydras.Ackermann.codeSubFormula]
t:830 [in hydras.Ackermann.codeSubFormula]
t:833 [in hydras.Ackermann.codeSubFormula]
t:84 [in hydras.rpo.term]
t:84 [in hydras.Ackermann.codeFreeVar]
t:84 [in hydras.Ackermann.codeSubTerm]
t:84 [in hydras.Ackermann.wellFormed]
T:84 [in hydras.Ackermann.folLogic]
t:84 [in hydras.rpo.rpo]
t:85 [in additions.Addition_Chains]
t:858 [in hydras.Ackermann.codeSubFormula]
t:86 [in hydras.Ackermann.codeFreeVar]
T:86 [in hydras.Ackermann.LNN]
t:86 [in hydras.Ackermann.LNT]
t:86 [in hydras.Ackermann.wellFormed]
T:86 [in hydras.Ackermann.folReplace]
T:87 [in hydras.Ackermann.LNT]
t:87 [in hydras.Ackermann.folLogic3]
t:88 [in hydras.Ackermann.codeFreeVar]
t:88 [in hydras.Ackermann.codeSubTerm]
t:88 [in hydras.Ackermann.wellFormed]
T:88 [in hydras.Ackermann.folLogic]
t:88 [in hydras.Gamma0.Gamma0]
t:89 [in hydras.Ackermann.LNN]
t:89 [in hydras.Ackermann.codeSubFormula]
T:89 [in hydras.Ackermann.folLogic3]
t:89 [in additions.Addition_Chains]
t:897 [in hydras.Ackermann.codeSubFormula]
t:9 [in hydras.Ackermann.codeFreeVar]
t:9 [in hydras.Ackermann.codeSubTerm]
T:9 [in hydras.Ackermann.wConsistent]
t:9 [in hydras.rpo.rpo]
t:90 [in hydras.Ackermann.codeFreeVar]
T:90 [in hydras.Ackermann.LNN]
t:90 [in hydras.Ackermann.wellFormed]
T:90 [in hydras.Ackermann.folLogic]
t:90 [in hydras.Gamma0.Gamma0]
t:91 [in hydras.rpo.term]
t:91 [in hydras.Hydra.O2H]
T:91 [in hydras.Ackermann.LNT]
t:91 [in hydras.rpo.rpo]
t:92 [in hydras.Ackermann.codeFreeVar]
t:92 [in hydras.Ackermann.codeSubTerm]
t:92 [in hydras.rpo.more_list]
t:92 [in hydras.Ackermann.wellFormed]
t:92 [in hydras.Gamma0.Gamma0]
t:93 [in hydras.Ackermann.wellFormed]
T:93 [in hydras.Ackermann.folLogic]
T:93 [in hydras.Ackermann.folReplace]
t:94 [in hydras.Ackermann.codeFreeVar]
t:94 [in hydras.Ackermann.codeSubTerm]
T:94 [in hydras.Ackermann.LNN]
T:94 [in hydras.Ackermann.LNT]
t:94 [in hydras.Ackermann.subProp]
t:94 [in hydras.Ackermann.wellFormed]
t:94 [in additions.Addition_Chains]
T:94 [in hydras.Ackermann.folReplace]
t:94 [in hydras.MoreAck.PrimRecExamples]
t:94 [in hydras.rpo.rpo]
t:95 [in hydras.rpo.term]
t:95 [in hydras.Ackermann.wellFormed]
t:96 [in hydras.Ackermann.subAll]
t:96 [in hydras.Ackermann.codeFreeVar]
t:96 [in hydras.Ackermann.codeSubTerm]
t:96 [in hydras.Ackermann.wellFormed]
T:96 [in hydras.Ackermann.folLogic]
T:97 [in hydras.Ackermann.LNN]
t:97 [in hydras.Ackermann.wellFormed]
t:98 [in hydras.Ackermann.codeFreeVar]
t:98 [in hydras.Ackermann.codeSubTerm]
T:98 [in hydras.Ackermann.LNT]
t:98 [in hydras.Ackermann.wellFormed]
t:98 [in hydras.rpo.rpo]
t:99 [in hydras.Ackermann.wellFormed]
T:99 [in hydras.Ackermann.folLogic]
T:99 [in hydras.Ackermann.folLogic3]
T:99 [in hydras.Ackermann.folReplace]
t:99 [in hydras.MoreAck.PrimRecExamples]

U

ui:187 [in hydras.rpo.term]
ui:325 [in hydras.rpo.rpo]
ui:328 [in hydras.rpo.rpo]
ui:369 [in hydras.rpo.term]
u':693 [in gaia_hydras.nfwfgaia]
u1:107 [in hydras.rpo.rpo]
u1:114 [in hydras.rpo.rpo]
u1:121 [in hydras.rpo.rpo]
u1:89 [in hydras.rpo.list_permut]
u1:97 [in hydras.rpo.list_permut]
u2:109 [in hydras.rpo.rpo]
u2:116 [in hydras.rpo.rpo]
u2:122 [in hydras.rpo.rpo]
u2:90 [in hydras.rpo.list_permut]
u2:98 [in hydras.rpo.list_permut]
u3:91 [in hydras.rpo.list_permut]
u3:99 [in hydras.rpo.list_permut]
u4:100 [in hydras.rpo.list_permut]
u4:92 [in hydras.rpo.list_permut]
u:1202 [in gaia_hydras.nfwfgaia]
u:1213 [in gaia_hydras.nfwfgaia]
u:123 [in hydras.rpo.rpo]
u:1238 [in gaia_hydras.nfwfgaia]
u:1242 [in gaia_hydras.nfwfgaia]
u:1245 [in gaia_hydras.nfwfgaia]
u:1265 [in gaia_hydras.nfwfgaia]
u:1281 [in gaia_hydras.nfwfgaia]
u:130 [in hydras.Epsilon0.Paths]
U:136 [in hydras.Ackermann.LNN2LNT]
u:136 [in hydras.Epsilon0.Paths]
u:137 [in hydras.Epsilon0.Paths]
u:143 [in hydras.Schutte.Schutte_basics]
u:143 [in hydras.Epsilon0.Paths]
u:147 [in hydras.rpo.term]
U:15 [in hydras.Ackermann.LNT]
u:150 [in hydras.rpo.term]
u:150 [in hydras.Epsilon0.Paths]
u:1512 [in gaia_hydras.nfwfgaia]
u:1515 [in gaia_hydras.nfwfgaia]
u:1518 [in gaia_hydras.nfwfgaia]
u:155 [in hydras.Epsilon0.Paths]
u:161 [in hydras.Schutte.Ordering_Functions]
u:162 [in hydras.rpo.term]
u:170 [in hydras.rpo.term]
u:175 [in hydras.rpo.term]
u:1788 [in gaia_hydras.nfwfgaia]
U:18 [in hydras.Ackermann.LNN]
u:180 [in hydras.rpo.term]
u:183 [in hydras.rpo.rpo]
u:189 [in hydras.rpo.term]
u:196 [in hydras.rpo.rpo]
u:2041 [in gaia_hydras.nfwfgaia]
u:2052 [in gaia_hydras.nfwfgaia]
u:2080 [in gaia_hydras.nfwfgaia]
u:2085 [in gaia_hydras.nfwfgaia]
U:24 [in hydras.Prelude.DecPreOrder_Instances]
U:25 [in hydras.Prelude.DecPreOrder_Instances]
u:273 [in hydras.rpo.term]
u:276 [in hydras.rpo.term]
u:326 [in hydras.rpo.term]
u:328 [in hydras.rpo.term]
U:34 [in hydras.Schutte.Countable]
u:340 [in hydras.rpo.term]
u:348 [in hydras.rpo.term]
u:354 [in hydras.rpo.term]
u:358 [in hydras.rpo.term]
u:371 [in hydras.rpo.term]
u:390 [in gaia_hydras.nfwfgaia]
u:413 [in gaia_hydras.nfwfgaia]
U:48 [in hydras.Schutte.Schutte_basics]
U:5 [in hydras.Ackermann.folLogic]
U:62 [in hydras.Schutte.AP]
U:67 [in hydras.Schutte.PartialFun]
u:679 [in gaia_hydras.nfwfgaia]
u:686 [in gaia_hydras.nfwfgaia]
u:688 [in gaia_hydras.nfwfgaia]
U:69 [in hydras.Schutte.PartialFun]
u:691 [in gaia_hydras.nfwfgaia]
u:701 [in gaia_hydras.nfwfgaia]
u:711 [in gaia_hydras.nfwfgaia]
u:719 [in gaia_hydras.nfwfgaia]
u:745 [in gaia_hydras.nfwfgaia]
u:77 [in hydras.rpo.rpo]
u:799 [in gaia_hydras.nfwfgaia]
U:80 [in hydras.Schutte.PartialFun]
u:81 [in hydras.rpo.rpo]
u:810 [in gaia_hydras.nfwfgaia]
u:814 [in gaia_hydras.nfwfgaia]
U:86 [in hydras.Schutte.PartialFun]
u:93 [in hydras.rpo.term]
u:97 [in hydras.rpo.term]
u:996 [in gaia_hydras.nfwfgaia]

V

value:103 [in hydras.Ackermann.model]
value:107 [in hydras.Ackermann.model]
value:111 [in hydras.Ackermann.model]
value:115 [in hydras.Ackermann.model]
value:127 [in hydras.Ackermann.model]
value:131 [in hydras.Ackermann.model]
value:135 [in hydras.Ackermann.model]
value:139 [in hydras.Ackermann.model]
value:142 [in hydras.Ackermann.model]
value:146 [in hydras.Ackermann.model]
value:159 [in hydras.Ackermann.model]
value:165 [in hydras.Ackermann.model]
value:17 [in hydras.Ackermann.model]
value:21 [in hydras.Ackermann.model]
value:222 [in hydras.Ackermann.model]
value:32 [in hydras.Ackermann.model]
value:39 [in hydras.Ackermann.model]
value:43 [in hydras.Ackermann.model]
value:70 [in hydras.Ackermann.model]
value:80 [in hydras.Ackermann.model]
value:86 [in hydras.Ackermann.model]
Var:11 [in hydras.Prelude.WfVariant]
Var:159 [in hydras.Hydra.Hydra_Definitions]
Var:27 [in gaia_hydras.GHydra]
Var:3 [in hydras.Hydra.Epsilon0_Needed_Std]
Var:31 [in gaia_hydras.GHydra]
Var:34 [in gaia_hydras.GHydra]
Var:4 [in hydras.Hydra.Epsilon0_Needed_Free]
Var:5 [in hydras.Hydra.Epsilon0_Needed_Generic]
vs:103 [in Goedel.PRrepresentable]
vs:108 [in Goedel.PRrepresentable]
vs:114 [in Goedel.PRrepresentable]
v':694 [in gaia_hydras.nfwfgaia]
v0:107 [in hydras.Ackermann.codeSubFormula]
v0:1286 [in hydras.Ackermann.codeSubFormula]
v0:1290 [in hydras.Ackermann.codeSubFormula]
v0:20 [in hydras.Ackermann.codeSubTerm]
v0:24 [in hydras.Ackermann.codeSubTerm]
v0:42 [in hydras.Ackermann.codeSubTerm]
v0:46 [in hydras.Ackermann.codeSubTerm]
v1:102 [in hydras.Ackermann.subProp]
v1:11 [in hydras.Epsilon0.Epsilon0rpo]
v1:11 [in hydras.Ackermann.folLogic2]
v1:110 [in hydras.Ackermann.subProp]
v1:121 [in hydras.Ackermann.subAll]
v1:122 [in hydras.Ackermann.subAll]
v1:124 [in hydras.Ackermann.subProp]
v1:129 [in hydras.Ackermann.subAll]
v1:129 [in hydras.Ackermann.subProp]
v1:130 [in hydras.Ackermann.subAll]
v1:131 [in hydras.Ackermann.subAll]
v1:132 [in hydras.Ackermann.subAll]
v1:133 [in hydras.Ackermann.subAll]
v1:134 [in hydras.Ackermann.subAll]
v1:135 [in hydras.Ackermann.subAll]
v1:136 [in hydras.Ackermann.subAll]
v1:137 [in hydras.Ackermann.subAll]
v1:138 [in hydras.Ackermann.subAll]
v1:139 [in hydras.Ackermann.subAll]
v1:140 [in hydras.Ackermann.subAll]
v1:141 [in hydras.Ackermann.subAll]
v1:141 [in hydras.Ackermann.subProp]
v1:142 [in hydras.Ackermann.subAll]
v1:143 [in hydras.Ackermann.subAll]
v1:144 [in hydras.Ackermann.subAll]
v1:144 [in hydras.Ackermann.subProp]
v1:145 [in hydras.Ackermann.subAll]
v1:146 [in hydras.Ackermann.subAll]
v1:147 [in hydras.Ackermann.subAll]
v1:148 [in hydras.Ackermann.subAll]
v1:148 [in hydras.Ackermann.subProp]
v1:149 [in hydras.Ackermann.subAll]
v1:150 [in hydras.Ackermann.subAll]
v1:151 [in hydras.Ackermann.subAll]
v1:152 [in hydras.Ackermann.subAll]
v1:152 [in hydras.Ackermann.subProp]
v1:153 [in hydras.Ackermann.subAll]
v1:154 [in hydras.Ackermann.subAll]
v1:155 [in hydras.Ackermann.subAll]
v1:157 [in hydras.Ackermann.subAll]
v1:159 [in hydras.Ackermann.subAll]
v1:161 [in hydras.Ackermann.subAll]
v1:162 [in hydras.Ackermann.subProp]
v1:163 [in hydras.Ackermann.subAll]
v1:164 [in hydras.Ackermann.subAll]
v1:165 [in hydras.Ackermann.subAll]
v1:166 [in hydras.Ackermann.subAll]
v1:167 [in hydras.Ackermann.subProp]
v1:169 [in hydras.Ackermann.subAll]
v1:171 [in hydras.Ackermann.subAll]
v1:173 [in hydras.Ackermann.subAll]
v1:175 [in hydras.Ackermann.subAll]
v1:20 [in hydras.Prelude.MoreVectors]
v1:21 [in hydras.Ackermann.folLogic2]
v1:228 [in hydras.rpo.term]
v1:242 [in hydras.rpo.term]
v1:25 [in hydras.Prelude.MoreVectors]
v1:252 [in hydras.Gamma0.Gamma0]
v1:26 [in hydras.Ackermann.folLogic2]
v1:31 [in hydras.Prelude.MoreVectors]
v1:38 [in hydras.Prelude.MoreVectors]
v1:48 [in hydras.Ackermann.model]
v1:51 [in hydras.rpo.term]
v1:60 [in hydras.Ackermann.model]
v1:66 [in hydras.rpo.term]
v1:66 [in hydras.Ackermann.model]
v1:9 [in hydras.rpo.term]
v2:10 [in hydras.rpo.term]
v2:103 [in hydras.Ackermann.subProp]
v2:111 [in hydras.Ackermann.subProp]
v2:12 [in hydras.Epsilon0.Epsilon0rpo]
v2:12 [in hydras.Ackermann.folLogic2]
v2:125 [in hydras.Ackermann.subProp]
v2:130 [in hydras.Ackermann.subProp]
v2:142 [in hydras.Ackermann.subProp]
v2:145 [in hydras.Ackermann.subProp]
v2:149 [in hydras.Ackermann.subProp]
v2:153 [in hydras.Ackermann.subProp]
v2:163 [in hydras.Ackermann.subProp]
v2:168 [in hydras.Ackermann.subProp]
v2:21 [in hydras.Prelude.MoreVectors]
v2:22 [in hydras.Ackermann.folLogic2]
v2:231 [in hydras.rpo.term]
v2:245 [in hydras.rpo.term]
v2:253 [in hydras.Gamma0.Gamma0]
v2:26 [in hydras.Prelude.MoreVectors]
v2:27 [in hydras.Ackermann.folLogic2]
v2:32 [in hydras.Prelude.MoreVectors]
v2:39 [in hydras.Prelude.MoreVectors]
v2:49 [in hydras.Ackermann.model]
v2:54 [in hydras.rpo.term]
v2:61 [in hydras.Ackermann.model]
v2:67 [in hydras.Ackermann.model]
v2:69 [in hydras.rpo.term]
v3:33 [in hydras.Prelude.MoreVectors]
v3:40 [in hydras.Prelude.MoreVectors]
v:1 [in hydras.Ackermann.NN]
v:10 [in hydras.Prelude.MoreVectors]
v:100 [in hydras.Ackermann.LNN]
v:100 [in hydras.Ackermann.folReplace]
v:100 [in hydras.Prelude.MoreVectors]
v:101 [in hydras.Ackermann.folLogic]
v:101 [in hydras.Ackermann.folLogic3]
v:102 [in hydras.Ackermann.LNN2LNT]
V:103 [in hydras.Hydra.Hydra_Lemmas]
v:104 [in hydras.Ackermann.model]
v:104 [in hydras.Ackermann.folLogic]
v:104 [in hydras.Prelude.MoreVectors]
v:105 [in hydras.Ackermann.folReplace]
v:107 [in hydras.Prelude.MoreVectors]
v:108 [in hydras.Ackermann.model]
v:11 [in hydras.Ackermann.codeSubTerm]
v:11 [in Goedel.fixPoint]
v:11 [in hydras.Ackermann.wConsistent]
v:110 [in hydras.Ackermann.subAll]
v:111 [in hydras.Ackermann.LNT]
v:111 [in Goedel.rosserPA]
v:112 [in hydras.Ackermann.model]
v:113 [in Goedel.rosserPA]
V:113 [in hydras.Hydra.Hydra_Lemmas]
v:113 [in hydras.Ackermann.folReplace]
v:114 [in hydras.Ackermann.LNN]
v:114 [in hydras.Ackermann.LNT]
v:115 [in hydras.Ackermann.LNN2LNT]
v:116 [in hydras.rpo.term]
v:116 [in hydras.Ackermann.subAll]
v:116 [in hydras.Ackermann.model]
v:117 [in hydras.Ackermann.LNN]
v:117 [in hydras.Ackermann.codeSubFormula]
v:118 [in hydras.rpo.term]
v:12 [in Goedel.rosserPA]
v:120 [in hydras.Ackermann.subProp]
v:120 [in hydras.Ackermann.codeSubFormula]
v:1203 [in gaia_hydras.nfwfgaia]
v:122 [in additions.fib]
v:123 [in hydras.Ackermann.codeSubTerm]
v:123 [in hydras.Ackermann.LNN2LNT]
v:123 [in hydras.Ackermann.folProp]
v:123 [in hydras.Ackermann.codeSubFormula]
v:1236 [in hydras.Ackermann.codeSubFormula]
v:1239 [in gaia_hydras.nfwfgaia]
v:1243 [in gaia_hydras.nfwfgaia]
v:1246 [in gaia_hydras.nfwfgaia]
v:1258 [in hydras.Ackermann.codeSubFormula]
v:126 [in hydras.Gamma0.T2]
v:126 [in hydras.Ackermann.codeSubTerm]
v:1266 [in hydras.Ackermann.codeSubFormula]
v:1266 [in gaia_hydras.nfwfgaia]
v:127 [in hydras.rpo.term]
v:128 [in hydras.Ackermann.model]
v:1282 [in gaia_hydras.nfwfgaia]
v:129 [in hydras.Ackermann.codeSubTerm]
v:1291 [in hydras.Ackermann.codeSubFormula]
v:1294 [in hydras.Ackermann.codeSubFormula]
v:13 [in hydras.MoreAck.AckNotPR]
v:13 [in hydras.Ackermann.subProp]
v:13 [in hydras.Prelude.MoreVectors]
v:130 [in hydras.Gamma0.T2]
v:131 [in hydras.Ackermann.LNN2LNT]
v:132 [in hydras.Ackermann.codeSubTerm]
v:132 [in hydras.Ackermann.model]
v:132 [in hydras.Ackermann.codeSubFormula]
v:134 [in hydras.Gamma0.T2]
v:134 [in hydras.Ackermann.folProp]
v:135 [in hydras.Ackermann.codeSubTerm]
v:135 [in hydras.Ackermann.subProp]
v:136 [in Goedel.PRrepresentable]
v:136 [in hydras.Ackermann.model]
v:1367 [in hydras.Ackermann.codeSubFormula]
V:137 [in hydras.Ackermann.LNN2LNT]
v:1377 [in hydras.Ackermann.codeSubFormula]
v:138 [in Goedel.PRrepresentable]
v:138 [in hydras.Ackermann.codeSubTerm]
v:1380 [in hydras.Ackermann.codeSubFormula]
v:1389 [in hydras.Ackermann.codeSubFormula]
v:139 [in hydras.Ackermann.subProp]
v:1393 [in hydras.Ackermann.codeSubFormula]
v:1397 [in hydras.Ackermann.codeSubFormula]
v:14 [in hydras.Ackermann.codeSubTerm]
v:14 [in Goedel.fixPoint]
v:140 [in hydras.Ackermann.model]
v:1400 [in hydras.Ackermann.codeSubFormula]
v:1405 [in hydras.Ackermann.codeSubFormula]
v:141 [in hydras.Ackermann.codeSubTerm]
v:1411 [in hydras.Ackermann.codeSubFormula]
v:1418 [in hydras.Ackermann.codeSubFormula]
v:142 [in hydras.Ackermann.folProp]
v:1423 [in hydras.Ackermann.codeSubFormula]
v:1428 [in hydras.Ackermann.codeSubFormula]
v:143 [in hydras.Ackermann.LNN2LNT]
v:1431 [in hydras.Ackermann.codeSubFormula]
v:1434 [in hydras.Ackermann.codeSubFormula]
v:1437 [in hydras.Ackermann.codeSubFormula]
v:144 [in hydras.Ackermann.codeSubTerm]
v:144 [in hydras.Ackermann.model]
v:1440 [in hydras.Ackermann.codeSubFormula]
v:1443 [in hydras.Ackermann.codeSubFormula]
v:1446 [in hydras.Ackermann.codeSubFormula]
v:1449 [in hydras.Ackermann.codeSubFormula]
v:1452 [in hydras.Ackermann.codeSubFormula]
v:1455 [in hydras.Ackermann.codeSubFormula]
v:1458 [in hydras.Ackermann.codeSubFormula]
v:146 [in hydras.Ackermann.folProp]
v:1461 [in hydras.Ackermann.codeSubFormula]
v:1464 [in hydras.Ackermann.codeSubFormula]
v:1467 [in hydras.Ackermann.codeSubFormula]
v:147 [in Goedel.PRrepresentable]
v:147 [in hydras.Ackermann.codeSubTerm]
v:147 [in hydras.Ackermann.LNN2LNT]
v:1470 [in hydras.Ackermann.codeSubFormula]
v:1473 [in hydras.Ackermann.codeSubFormula]
v:1476 [in hydras.Ackermann.codeSubFormula]
v:1479 [in hydras.Ackermann.codeSubFormula]
v:148 [in hydras.Ackermann.model]
v:148 [in hydras.Ackermann.fol]
v:1482 [in hydras.Ackermann.codeSubFormula]
v:1485 [in hydras.Ackermann.codeSubFormula]
v:1488 [in hydras.Ackermann.codeSubFormula]
v:149 [in Goedel.PRrepresentable]
v:149 [in hydras.Ackermann.codeSubTerm]
v:1491 [in hydras.Ackermann.codeSubFormula]
v:1494 [in hydras.Ackermann.codeSubFormula]
v:1497 [in hydras.Ackermann.codeSubFormula]
v:15 [in hydras.Ackermann.folProp]
v:15 [in hydras.Prelude.MoreVectors]
v:150 [in hydras.Ackermann.folProp]
v:1500 [in hydras.Ackermann.codeSubFormula]
v:1503 [in hydras.Ackermann.codeSubFormula]
v:1506 [in hydras.Ackermann.codeSubFormula]
v:1509 [in hydras.Ackermann.codeSubFormula]
v:151 [in hydras.Ackermann.codeSubTerm]
v:1511 [in gaia_hydras.nfwfgaia]
v:1514 [in gaia_hydras.nfwfgaia]
v:1516 [in hydras.Ackermann.codeSubFormula]
v:1517 [in gaia_hydras.nfwfgaia]
v:1519 [in hydras.Ackermann.codeSubFormula]
v:1522 [in hydras.Ackermann.codeSubFormula]
v:1525 [in hydras.Ackermann.codeSubFormula]
v:1528 [in hydras.Ackermann.codeSubFormula]
v:153 [in hydras.Ackermann.codeSubTerm]
v:1531 [in hydras.Ackermann.codeSubFormula]
v:1534 [in hydras.Ackermann.codeSubFormula]
v:1537 [in hydras.Ackermann.codeSubFormula]
v:154 [in hydras.Ackermann.folProp]
v:1540 [in hydras.Ackermann.codeSubFormula]
v:1543 [in hydras.Ackermann.codeSubFormula]
v:1546 [in hydras.Ackermann.codeSubFormula]
v:1549 [in hydras.Ackermann.codeSubFormula]
v:155 [in hydras.Ackermann.codeSubTerm]
v:1552 [in hydras.Ackermann.codeSubFormula]
v:1555 [in hydras.Ackermann.codeSubFormula]
v:1558 [in hydras.Ackermann.codeSubFormula]
v:156 [in hydras.Ackermann.model]
v:1561 [in hydras.Ackermann.codeSubFormula]
v:1564 [in hydras.Ackermann.codeSubFormula]
v:1567 [in hydras.Ackermann.codeSubFormula]
v:157 [in hydras.Ackermann.codeSubTerm]
v:158 [in Goedel.PRrepresentable]
v:158 [in hydras.Ackermann.subProp]
v:16 [in hydras.Ackermann.codeSubTerm]
v:160 [in Goedel.PRrepresentable]
v:162 [in hydras.Ackermann.LNT]
v:17 [in Goedel.fixPoint]
v:17 [in Goedel.goedel2]
v:170 [in hydras.Ackermann.LNN]
v:1789 [in gaia_hydras.nfwfgaia]
v:18 [in hydras.Ackermann.LNN2LNT]
v:18 [in hydras.Ackermann.folProp]
v:18 [in hydras.Ackermann.subProp]
v:192 [in hydras.rpo.rpo]
v:193 [in hydras.rpo.rpo]
v:197 [in hydras.Ackermann.subAll]
v:199 [in hydras.Ackermann.subAll]
v:2 [in Goedel.fixPoint]
v:2 [in hydras.Ackermann.PA]
v:20 [in Goedel.fixPoint]
v:20 [in hydras.Ackermann.PA]
v:2042 [in gaia_hydras.nfwfgaia]
v:2086 [in gaia_hydras.nfwfgaia]
v:21 [in Goedel.goedel2]
v:212 [in hydras.Ackermann.fol]
v:215 [in hydras.rpo.term]
v:22 [in hydras.MoreAck.AckNotPR]
v:22 [in hydras.Ackermann.subProp]
v:220 [in hydras.rpo.term]
v:23 [in Goedel.fixPoint]
v:23 [in hydras.Ackermann.PA]
v:233 [in hydras.Ackermann.subAll]
v:233 [in hydras.Ackermann.folProp]
v:234 [in hydras.Ackermann.subAll]
v:235 [in hydras.Ackermann.subAll]
v:235 [in hydras.Ackermann.fol]
v:236 [in hydras.Ackermann.subAll]
v:237 [in hydras.Ackermann.subAll]
v:238 [in Goedel.PRrepresentable]
v:238 [in hydras.Ackermann.subAll]
v:239 [in hydras.Ackermann.subAll]
v:24 [in hydras.Ackermann.PA]
v:24 [in Goedel.codeSysPrf]
v:240 [in hydras.Ackermann.subAll]
v:241 [in Goedel.PRrepresentable]
v:242 [in hydras.Ackermann.subAll]
v:244 [in Goedel.PRrepresentable]
v:244 [in hydras.Ackermann.subAll]
v:247 [in Goedel.PRrepresentable]
v:247 [in hydras.Ackermann.subAll]
v:248 [in hydras.Ackermann.subAll]
v:25 [in hydras.Ackermann.folProp]
v:258 [in hydras.Ackermann.subAll]
v:26 [in hydras.Ackermann.folProof]
v:26 [in hydras.Ackermann.LNN2LNT]
v:26 [in hydras.Ackermann.subProp]
v:263 [in Goedel.PRrepresentable]
v:267 [in Goedel.PRrepresentable]
v:267 [in hydras.Ackermann.fol]
v:27 [in Goedel.fixPoint]
v:271 [in hydras.Ackermann.fol]
v:274 [in Goedel.PRrepresentable]
v:28 [in hydras.Ackermann.folProp]
v:28 [in hydras.MoreAck.AckNotPR]
v:28 [in hydras.Ackermann.folReplace]
v:28 [in Goedel.rosser]
v:281 [in hydras.Ackermann.folProp]
v:287 [in Goedel.PRrepresentable]
v:288 [in Goedel.PRrepresentable]
v:289 [in Goedel.PRrepresentable]
v:29 [in Goedel.PRrepresentable]
v:293 [in Goedel.PRrepresentable]
v:294 [in hydras.rpo.term]
v:294 [in Goedel.PRrepresentable]
v:295 [in Goedel.PRrepresentable]
v:296 [in hydras.rpo.term]
v:299 [in hydras.rpo.term]
v:299 [in hydras.Ackermann.subAll]
v:3 [in hydras.MoreAck.BadSubst]
v:3 [in hydras.Ackermann.subProp]
v:3 [in hydras.Ackermann.wConsistent]
v:3 [in hydras.Ackermann.expressible]
v:308 [in hydras.rpo.term]
v:309 [in Goedel.PRrepresentable]
v:31 [in hydras.Ackermann.folProp]
v:31 [in hydras.MoreAck.AckNotPR]
v:31 [in hydras.Ackermann.subProp]
v:312 [in Goedel.PRrepresentable]
v:314 [in Goedel.PRrepresentable]
v:315 [in Goedel.PRrepresentable]
v:317 [in Goedel.PRrepresentable]
v:317 [in hydras.Ackermann.fol]
v:32 [in hydras.Ackermann.folReplace]
v:320 [in Goedel.PRrepresentable]
v:320 [in hydras.Ackermann.subAll]
v:321 [in Goedel.PRrepresentable]
v:321 [in hydras.Ackermann.fol]
v:322 [in Goedel.PRrepresentable]
v:322 [in hydras.Ackermann.subAll]
v:323 [in Goedel.PRrepresentable]
v:324 [in Goedel.PRrepresentable]
v:33 [in Goedel.PRrepresentable]
v:33 [in hydras.Ackermann.folLogic2]
v:343 [in hydras.Ackermann.subAll]
v:348 [in hydras.Ackermann.subAll]
v:35 [in hydras.Ackermann.folProof]
v:35 [in hydras.MoreAck.AckNotPR]
V:35 [in hydras.Schutte.Countable]
v:353 [in hydras.Ackermann.subAll]
v:355 [in hydras.Ackermann.checkPrf]
v:358 [in hydras.Ackermann.subAll]
v:36 [in hydras.rpo.term]
v:36 [in hydras.Ackermann.subProp]
v:363 [in hydras.Ackermann.fol]
v:367 [in hydras.Ackermann.fol]
v:37 [in hydras.Ackermann.folLogic2]
v:37 [in hydras.Ackermann.folProp]
v:371 [in hydras.Ackermann.subAll]
v:38 [in hydras.Ackermann.folProof]
v:38 [in Goedel.PRrepresentable]
v:38 [in hydras.Ackermann.codeSubTerm]
v:39 [in Goedel.codeSysPrf]
v:391 [in gaia_hydras.nfwfgaia]
v:394 [in hydras.Ackermann.folProp]
v:398 [in hydras.Ackermann.folProp]
v:4 [in hydras.Prelude.MoreVectors]
v:40 [in hydras.Ackermann.folProp]
v:40 [in Goedel.rosserPA]
v:40 [in Goedel.codeSysPrf]
v:402 [in hydras.Ackermann.folProp]
v:407 [in hydras.Ackermann.folProp]
v:407 [in hydras.Ackermann.fol]
v:408 [in hydras.Ackermann.checkPrf]
v:41 [in hydras.Ackermann.folProof]
v:41 [in hydras.Ackermann.model]
v:41 [in hydras.MoreAck.AckNotPR]
v:41 [in hydras.Ackermann.subProp]
v:41 [in additions.fib]
v:41 [in Goedel.codeSysPrf]
v:411 [in hydras.Ackermann.fol]
v:412 [in hydras.Ackermann.folProp]
v:415 [in hydras.Ackermann.folProp]
v:418 [in hydras.Ackermann.folProp]
v:42 [in hydras.rpo.term]
v:42 [in Goedel.PRrepresentable]
v:42 [in hydras.Ackermann.subAll]
v:42 [in Goedel.codeSysPrf]
v:42 [in hydras.Ackermann.expressible]
v:420 [in hydras.Ackermann.fol]
v:422 [in Goedel.PRrepresentable]
v:425 [in hydras.Ackermann.folProp]
v:426 [in Goedel.PRrepresentable]
v:427 [in hydras.Ackermann.folProp]
v:43 [in hydras.Ackermann.folProp]
v:43 [in Goedel.rosserPA]
v:43 [in Goedel.codeSysPrf]
v:430 [in hydras.Ackermann.folProp]
v:435 [in hydras.Ackermann.folProp]
v:439 [in hydras.Ackermann.folProp]
v:44 [in Goedel.codeSysPrf]
v:44 [in hydras.Prelude.MoreVectors]
v:440 [in Goedel.PRrepresentable]
v:441 [in Goedel.PRrepresentable]
v:442 [in Goedel.PRrepresentable]
v:443 [in Goedel.PRrepresentable]
v:443 [in hydras.Ackermann.folProp]
v:443 [in hydras.Ackermann.fol]
v:45 [in hydras.MoreAck.AckNotPR]
v:45 [in hydras.Ackermann.subProp]
v:45 [in Goedel.rosserPA]
v:45 [in hydras.Ackermann.folLogic3]
v:455 [in hydras.Ackermann.checkPrf]
v:46 [in hydras.Ackermann.folLogic3]
v:462 [in Goedel.PRrepresentable]
v:464 [in Goedel.PRrepresentable]
v:470 [in Goedel.PRrepresentable]
v:472 [in Goedel.PRrepresentable]
v:48 [in Goedel.rosserPA]
v:49 [in hydras.Ackermann.subAll]
v:49 [in hydras.MoreAck.AckNotPR]
v:49 [in hydras.Ackermann.subProp]
v:5 [in Goedel.fixPoint]
v:5 [in Goedel.goedel1]
v:5 [in Goedel.rosser]
v:5 [in Goedel.goedel2]
v:5 [in hydras.Prelude.MoreVectors]
v:52 [in hydras.Ackermann.folLogic3]
v:52 [in Goedel.codeSysPrf]
v:52 [in hydras.Prelude.MoreVectors]
v:53 [in hydras.Ackermann.PA]
v:53 [in hydras.Ackermann.folLogic3]
v:54 [in hydras.Ackermann.subAll]
v:54 [in hydras.Ackermann.codeSubTerm]
v:54 [in hydras.Ackermann.subProp]
v:55 [in hydras.Ackermann.subAll]
v:56 [in hydras.Ackermann.subAll]
v:56 [in Goedel.codeSysPrf]
v:57 [in Goedel.PRrepresentable]
v:57 [in hydras.Ackermann.subAll]
v:58 [in hydras.Ackermann.codeSubTerm]
v:58 [in Goedel.rosserPA]
v:59 [in hydras.Ackermann.folProp]
v:59 [in hydras.Ackermann.subProp]
v:59 [in hydras.Ackermann.codeSubFormula]
v:59 [in hydras.Prelude.MoreVectors]
v:6 [in Goedel.rosserPA]
v:60 [in hydras.Ackermann.subAll]
v:60 [in hydras.Ackermann.LNN2LNT]
v:61 [in Goedel.PRrepresentable]
v:61 [in hydras.Ackermann.folProp]
v:61 [in Goedel.codeSysPrf]
v:62 [in hydras.Ackermann.codeSubTerm]
v:62 [in Goedel.codeSysPrf]
v:626 [in hydras.Ackermann.primRec]
v:63 [in hydras.Ackermann.LNN2LNT]
v:63 [in Goedel.codeSysPrf]
v:63 [in hydras.Ackermann.expressible]
v:630 [in hydras.Ackermann.primRec]
v:64 [in hydras.Ackermann.subProp]
v:64 [in Goedel.codeSysPrf]
v:647 [in hydras.Ackermann.primRec]
v:65 [in hydras.Ackermann.LNN2LNT]
v:65 [in hydras.Ackermann.folLogic]
v:652 [in hydras.Ackermann.primRec]
v:66 [in hydras.Ackermann.codeSubTerm]
v:66 [in hydras.Ackermann.folProp]
v:66 [in hydras.Ackermann.folReplace]
v:67 [in hydras.Ackermann.LNN2LNT]
v:67 [in Goedel.rosser]
v:68 [in hydras.Ackermann.subProp]
v:68 [in hydras.Ackermann.folLogic]
v:68 [in Goedel.codeSysPrf]
v:68 [in hydras.Prelude.MoreVectors]
v:680 [in gaia_hydras.nfwfgaia]
v:687 [in gaia_hydras.nfwfgaia]
v:689 [in gaia_hydras.nfwfgaia]
v:69 [in hydras.MoreAck.AckNotPR]
v:692 [in gaia_hydras.nfwfgaia]
v:7 [in hydras.Ackermann.codeSubTerm]
v:7 [in hydras.Ackermann.PA]
v:70 [in hydras.Ackermann.codeSubTerm]
v:70 [in hydras.Ackermann.LNN2LNT]
V:70 [in hydras.Schutte.PartialFun]
v:70 [in hydras.Ackermann.folReplace]
v:70 [in hydras.Prelude.MoreVectors]
v:703 [in gaia_hydras.nfwfgaia]
v:71 [in hydras.Ackermann.subAll]
v:71 [in hydras.MoreAck.AckNotPR]
v:71 [in hydras.Ackermann.codeSubFormula]
v:713 [in gaia_hydras.nfwfgaia]
v:72 [in hydras.Ackermann.model]
v:72 [in hydras.Ackermann.subProp]
v:72 [in hydras.Ackermann.folLogic]
v:72 [in Goedel.codeSysPrf]
v:73 [in Goedel.codeSysPrf]
v:74 [in Goedel.PRrepresentable]
v:74 [in hydras.Ackermann.codeSubTerm]
v:74 [in Goedel.codeSysPrf]
v:746 [in gaia_hydras.nfwfgaia]
v:75 [in hydras.Ackermann.subAll]
v:75 [in hydras.Ackermann.LNT]
v:75 [in hydras.Ackermann.folLogic]
v:76 [in Goedel.PRrepresentable]
v:76 [in hydras.Ackermann.codeSubFormula]
v:76 [in hydras.Prelude.MoreVectors]
v:77 [in hydras.Ackermann.subProp]
v:78 [in hydras.Ackermann.codeSubTerm]
v:78 [in hydras.Ackermann.LNN]
v:78 [in hydras.Ackermann.LNT]
v:79 [in Goedel.codeSysPrf]
v:8 [in Goedel.fixPoint]
v:8 [in hydras.Ackermann.subProp]
v:8 [in hydras.Prelude.MoreVectors]
v:80 [in hydras.Ackermann.folLogic]
v:80 [in Goedel.codeSysPrf]
v:800 [in gaia_hydras.nfwfgaia]
v:803 [in gaia_hydras.nfwfgaia]
v:805 [in gaia_hydras.nfwfgaia]
v:81 [in hydras.Ackermann.LNN]
V:81 [in hydras.Schutte.PartialFun]
v:82 [in hydras.Ackermann.codeSubTerm]
v:82 [in hydras.Ackermann.LNT]
v:82 [in hydras.Ackermann.subProp]
v:82 [in Goedel.codeSysPrf]
v:82 [in hydras.Prelude.MoreVectors]
v:83 [in hydras.Ackermann.model]
v:83 [in hydras.Ackermann.folLogic]
v:84 [in Goedel.PRrepresentable]
v:84 [in hydras.Ackermann.subAll]
v:85 [in hydras.Ackermann.LNN]
v:85 [in hydras.Ackermann.LNT]
v:859 [in hydras.Ackermann.codeSubFormula]
v:86 [in hydras.Ackermann.codeSubTerm]
v:86 [in hydras.Ackermann.codeSubFormula]
v:87 [in hydras.Ackermann.subProp]
V:87 [in hydras.Schutte.PartialFun]
v:87 [in hydras.Ackermann.folLogic]
v:87 [in hydras.Prelude.MoreVectors]
v:875 [in hydras.Ackermann.codeSubFormula]
v:879 [in hydras.Ackermann.codeSubFormula]
v:88 [in Goedel.PRrepresentable]
v:88 [in hydras.Ackermann.subAll]
v:88 [in hydras.Ackermann.LNN]
v:88 [in hydras.Ackermann.model]
v:88 [in hydras.Ackermann.folLogic3]
v:883 [in hydras.Ackermann.codeSubFormula]
v:898 [in hydras.Ackermann.codeSubFormula]
v:9 [in hydras.MoreAck.BadSubst]
v:90 [in hydras.Ackermann.subAll]
v:90 [in hydras.Ackermann.codeSubTerm]
v:90 [in hydras.Ackermann.LNT]
v:91 [in hydras.Ackermann.subAll]
v:91 [in hydras.Ackermann.subProp]
v:91 [in hydras.Ackermann.codeSubFormula]
v:91 [in hydras.Prelude.MoreVectors]
v:915 [in hydras.Ackermann.codeSubFormula]
v:920 [in hydras.Ackermann.codeSubFormula]
v:925 [in hydras.Ackermann.codeSubFormula]
v:93 [in hydras.Ackermann.LNN]
v:93 [in hydras.Ackermann.LNT]
v:94 [in hydras.Ackermann.subAll]
v:94 [in hydras.Prelude.MoreVectors]
v:95 [in hydras.Ackermann.subProp]
v:95 [in hydras.Ackermann.folReplace]
v:96 [in hydras.Ackermann.LNN]
v:97 [in Goedel.PRrepresentable]
v:97 [in hydras.Ackermann.LNT]
v:98 [in hydras.Ackermann.subAll]
v:98 [in hydras.Ackermann.folLogic3]
v:99 [in Goedel.PRrepresentable]
v:997 [in gaia_hydras.nfwfgaia]

W

well_formed_list:270 [in hydras.rpo.term]
well_formed_list:90 [in hydras.rpo.term]
Wf:101 [in hydras.Hydra.Hydra_Lemmas]
Wf:111 [in hydras.Hydra.Hydra_Lemmas]
Wf:146 [in hydras.Hydra.Hydra_Definitions]
Wf:156 [in hydras.Hydra.Hydra_Definitions]
Wo:19 [in hydras.Schutte.Well_Orders]
WO:54 [in hydras.Schutte.Well_Orders]
WO:59 [in hydras.Schutte.Well_Orders]
w:101 [in Goedel.PRrepresentable]
w:122 [in Goedel.PRrepresentable]
w:1237 [in hydras.Ackermann.codeSubFormula]
w:129 [in Goedel.PRrepresentable]
w:1388 [in hydras.Ackermann.codeSubFormula]
w:1392 [in hydras.Ackermann.codeSubFormula]
w:14 [in hydras.Prelude.MoreOrders]
w:140 [in Goedel.PRrepresentable]
w:151 [in Goedel.PRrepresentable]
w:1513 [in gaia_hydras.nfwfgaia]
w:1516 [in gaia_hydras.nfwfgaia]
w:1519 [in gaia_hydras.nfwfgaia]
w:300 [in hydras.Ackermann.subAll]
w:402 [in hydras.Ackermann.primRec]
w:410 [in hydras.Ackermann.primRec]
w:60 [in hydras.Prelude.MoreVectors]
w:705 [in gaia_hydras.nfwfgaia]
w:715 [in gaia_hydras.nfwfgaia]
w:815 [in gaia_hydras.nfwfgaia]
w:822 [in gaia_hydras.nfwfgaia]
w:899 [in hydras.Ackermann.codeSubFormula]
w:916 [in hydras.Ackermann.codeSubFormula]
w:921 [in hydras.Ackermann.codeSubFormula]
w:926 [in hydras.Ackermann.codeSubFormula]
w:998 [in gaia_hydras.nfwfgaia]

X

xb:227 [in additions.Euclidean_Chains]
xb:238 [in additions.Euclidean_Chains]
xb:254 [in additions.Euclidean_Chains]
xb:258 [in additions.Euclidean_Chains]
xb:262 [in additions.Euclidean_Chains]
xb:266 [in additions.Euclidean_Chains]
xb:304 [in additions.Euclidean_Chains]
xb:306 [in additions.Euclidean_Chains]
xb:308 [in additions.Euclidean_Chains]
xb:310 [in additions.Euclidean_Chains]
xi:13 [in hydras.Schutte.Critical]
xi:56 [in hydras.Schutte.Critical]
xi:63 [in hydras.Schutte.Critical]
xi:64 [in hydras.Schutte.Critical]
xi:73 [in hydras.Schutte.Critical]
xi:79 [in hydras.Schutte.Critical]
xr:228 [in additions.Euclidean_Chains]
xr:255 [in additions.Euclidean_Chains]
xr:259 [in additions.Euclidean_Chains]
xr:263 [in additions.Euclidean_Chains]
xr:267 [in additions.Euclidean_Chains]
x':1395 [in gaia_hydras.nfwfgaia]
x':526 [in gaia_hydras.nfwfgaia]
x':529 [in gaia_hydras.nfwfgaia]
x0:123 [in hydras.Ackermann.model]
x0:125 [in hydras.Ackermann.model]
x0:200 [in hydras.Ackermann.folProp]
x0:216 [in hydras.Ackermann.folProp]
x0:226 [in Goedel.PRrepresentable]
x0:228 [in Goedel.PRrepresentable]
x0:233 [in Goedel.PRrepresentable]
x0:235 [in Goedel.PRrepresentable]
x0:296 [in hydras.Ackermann.folProp]
x0:312 [in hydras.Ackermann.folProp]
x0:329 [in hydras.Ackermann.subAll]
x0:331 [in hydras.Ackermann.subAll]
x0:332 [in hydras.Ackermann.subAll]
x0:334 [in hydras.Ackermann.subAll]
x0:335 [in hydras.Ackermann.subAll]
x0:336 [in hydras.Ackermann.subAll]
x0:337 [in hydras.Ackermann.subAll]
x0:338 [in hydras.Ackermann.subAll]
x0:360 [in hydras.Ackermann.folProp]
x0:376 [in hydras.Ackermann.folProp]
x0:90 [in hydras.Ackermann.model]
x0:91 [in hydras.Ackermann.model]
x0:92 [in hydras.Ackermann.model]
x0:93 [in hydras.Ackermann.model]
x0:95 [in hydras.Ackermann.model]
x0:97 [in hydras.Ackermann.model]
x10:30 [in additions.Addition_Chains]
x16:104 [in additions.Pow]
x16:95 [in additions.Pow_variant]
x1:328 [in hydras.Ackermann.folProp]
x1:344 [in hydras.Ackermann.folProp]
x20:31 [in additions.Addition_Chains]
x2:101 [in additions.Pow]
x2:153 [in additions.Euclidean_Chains]
x2:158 [in additions.Euclidean_Chains]
x2:16 [in additions.Addition_Chains]
x2:20 [in additions.Addition_Chains]
x2:249 [in additions.Addition_Chains]
x2:253 [in additions.Addition_Chains]
x2:26 [in additions.Addition_Chains]
x2:260 [in additions.Addition_Chains]
x2:262 [in additions.Addition_Chains]
x2:92 [in additions.Pow_variant]
x3:154 [in additions.Euclidean_Chains]
x3:159 [in additions.Euclidean_Chains]
x3:17 [in additions.Addition_Chains]
x3:21 [in additions.Addition_Chains]
x3:27 [in additions.Addition_Chains]
x40:32 [in additions.Addition_Chains]
x4:10 [in hydras.Ackermann.PAconsistent]
x4:102 [in additions.Pow]
x4:9 [in hydras.Ackermann.PAconsistent]
x4:93 [in additions.Pow_variant]
x6:160 [in additions.Euclidean_Chains]
x6:22 [in additions.Addition_Chains]
x6:28 [in additions.Addition_Chains]
x7:161 [in additions.Euclidean_Chains]
x7:23 [in additions.Addition_Chains]
x7:29 [in additions.Addition_Chains]
x80:33 [in additions.Addition_Chains]
x87:34 [in additions.Addition_Chains]
x8:103 [in additions.Pow]
x8:94 [in additions.Pow_variant]
x:1 [in hydras.Ackermann.LNN]
x:1 [in hydras.Ackermann.LNT]
x:1 [in additions.Naive]
x:10 [in hydras.solutions_exercises.MinPR2]
x:10 [in hydras.Prelude.Iterates]
X:10 [in hydras.Prelude.Restriction]
x:10 [in hydras.Ackermann.LNN]
X:10 [in hydras.Schutte.Lub]
x:10 [in hydras.Ackermann.subProp]
x:10 [in hydras.Prelude.MoreOrders]
x:10 [in additions.Monoid_def]
x:10 [in additions.Euclidean_Chains]
X:10 [in hydras.Schutte.Schutte_basics]
x:10 [in hydras.Ackermann.NN]
x:10 [in hydras.solutions_exercises.T1_ltNotWf]
x:10 [in hydras.Schutte.Countable]
x:100 [in hydras.Ackermann.model]
x:100 [in additions.Pow]
x:100 [in hydras.Schutte.Ordering_Functions]
x:101 [in hydras.Ackermann.model]
x:101 [in gaia_hydras.T1Bridge]
x:101 [in hydras.Ackermann.cPair]
x:1016 [in gaia_hydras.nfwfgaia]
x:102 [in hydras.Schutte.Ordering_Functions]
x:102 [in hydras.MoreAck.PrimRecExamples]
x:102 [in hydras.Prelude.MoreVectors]
x:103 [in hydras.Ackermann.fol]
x:1038 [in gaia_hydras.nfwfgaia]
x:1039 [in gaia_hydras.nfwfgaia]
x:104 [in hydras.Schutte.Ordering_Functions]
x:1041 [in gaia_hydras.nfwfgaia]
x:1043 [in gaia_hydras.nfwfgaia]
x:1046 [in gaia_hydras.nfwfgaia]
x:105 [in hydras.Prelude.Iterates]
x:105 [in hydras.OrdinalNotations.ON_Generic]
x:1053 [in gaia_hydras.nfwfgaia]
x:1054 [in gaia_hydras.nfwfgaia]
x:1055 [in gaia_hydras.nfwfgaia]
x:1056 [in gaia_hydras.nfwfgaia]
x:1057 [in gaia_hydras.nfwfgaia]
x:1058 [in gaia_hydras.nfwfgaia]
x:106 [in additions.Euclidean_Chains]
x:1061 [in gaia_hydras.nfwfgaia]
x:1064 [in gaia_hydras.nfwfgaia]
x:1067 [in gaia_hydras.nfwfgaia]
x:1068 [in gaia_hydras.nfwfgaia]
x:1069 [in gaia_hydras.nfwfgaia]
x:107 [in hydras.Prelude.Iterates]
x:107 [in additions.Pow]
x:107 [in hydras.Ackermann.fol]
x:1070 [in gaia_hydras.nfwfgaia]
x:1071 [in gaia_hydras.nfwfgaia]
x:1072 [in gaia_hydras.nfwfgaia]
x:1074 [in gaia_hydras.nfwfgaia]
x:1075 [in gaia_hydras.nfwfgaia]
x:1084 [in gaia_hydras.nfwfgaia]
x:1085 [in gaia_hydras.nfwfgaia]
x:1086 [in gaia_hydras.nfwfgaia]
x:1087 [in gaia_hydras.nfwfgaia]
x:1089 [in gaia_hydras.nfwfgaia]
x:109 [in hydras.Prelude.Iterates]
x:1091 [in gaia_hydras.nfwfgaia]
x:1093 [in gaia_hydras.nfwfgaia]
x:1095 [in gaia_hydras.nfwfgaia]
x:11 [in hydras.Prelude.Restriction]
x:11 [in hydras.Ackermann.LNT]
x:11 [in hydras.Prelude.Sort_spec]
x:11 [in hydras.Ackermann.PAtheory]
x:11 [in additions.Wf_transparent]
x:11 [in hydras.Ackermann.cPair]
x:11 [in additions.Naive]
x:11 [in hydras.Prelude.LibHyps_Experiments]
x:11 [in hydras.Ackermann.folLogic3]
x:11 [in Goedel.rosser]
x:11 [in hydras.Ackermann.Languages]
x:1105 [in gaia_hydras.nfwfgaia]
x:1108 [in gaia_hydras.nfwfgaia]
x:1113 [in gaia_hydras.nfwfgaia]
x:1114 [in gaia_hydras.nfwfgaia]
x:1119 [in gaia_hydras.nfwfgaia]
x:112 [in hydras.rpo.term]
x:112 [in hydras.Prelude.Iterates]
x:1124 [in gaia_hydras.nfwfgaia]
x:1125 [in gaia_hydras.nfwfgaia]
x:1128 [in gaia_hydras.nfwfgaia]
x:1138 [in gaia_hydras.nfwfgaia]
x:1139 [in gaia_hydras.nfwfgaia]
x:114 [in additions.AM]
x:114 [in hydras.Prelude.Iterates]
x:1143 [in gaia_hydras.nfwfgaia]
x:115 [in hydras.Prelude.MoreLists]
x:115 [in hydras.Ackermann.fol]
x:115 [in gaia_hydras.nfwfgaia]
x:117 [in hydras.Prelude.Iterates]
x:117 [in additions.Euclidean_Chains]
x:118 [in hydras.Ackermann.model]
x:118 [in hydras.OrdinalNotations.ON_Generic]
x:118 [in gaia_hydras.nfwfgaia]
x:119 [in hydras.Ackermann.model]
x:119 [in gaia_hydras.nfwfgaia]
x:1197 [in gaia_hydras.nfwfgaia]
x:12 [in additions.Compatibility]
x:12 [in hydras.Ackermann.LNN]
x:12 [in hydras.Schutte.MoreEpsilonIota]
x:12 [in additions.Wf_transparent]
x:12 [in hydras.Prelude.MoreDecidable]
x:12 [in hydras.Ackermann.folLogic3]
x:12 [in hydras.Ackermann.wConsistent]
x:12 [in Goedel.rosser]
x:12 [in hydras.Schutte.Countable]
x:120 [in hydras.Ackermann.model]
x:1201 [in gaia_hydras.nfwfgaia]
x:1206 [in gaia_hydras.nfwfgaia]
x:121 [in hydras.Ackermann.model]
x:1217 [in gaia_hydras.nfwfgaia]
x:1218 [in gaia_hydras.nfwfgaia]
x:122 [in hydras.Ackermann.model]
x:122 [in hydras.Ackermann.fol]
x:122 [in gaia_hydras.nfwfgaia]
x:1220 [in gaia_hydras.nfwfgaia]
x:1222 [in gaia_hydras.nfwfgaia]
x:1224 [in gaia_hydras.nfwfgaia]
x:1229 [in gaia_hydras.nfwfgaia]
x:124 [in hydras.Prelude.MoreLists]
x:124 [in hydras.Ackermann.model]
x:1250 [in gaia_hydras.nfwfgaia]
x:1259 [in gaia_hydras.nfwfgaia]
x:126 [in Goedel.PRrepresentable]
x:126 [in hydras.Prelude.Merge_Sort]
x:1262 [in gaia_hydras.nfwfgaia]
x:1267 [in gaia_hydras.nfwfgaia]
x:1268 [in gaia_hydras.nfwfgaia]
x:127 [in hydras.Ackermann.fol]
x:128 [in hydras.Prelude.Merge_Sort]
x:129 [in additions.AM]
X:129 [in hydras.Ackermann.cPair]
x:13 [in hydras.Prelude.DecPreOrder_Instances]
x:13 [in hydras.Prelude.Iterates]
x:13 [in additions.FirstSteps]
x:13 [in hydras.Ackermann.LNN]
x:13 [in hydras.Ackermann.PAtheory]
x:13 [in hydras.Prelude.MoreOrders]
x:13 [in hydras.Ackermann.cPair]
x:13 [in additions.Euclidean_Chains]
x:13 [in additions.Naive]
X:130 [in hydras.Schutte.Schutte_basics]
x:1311 [in gaia_hydras.nfwfgaia]
x:132 [in hydras.Ackermann.fol]
x:1325 [in gaia_hydras.nfwfgaia]
x:134 [in hydras.Prelude.Merge_Sort]
x:1342 [in gaia_hydras.nfwfgaia]
x:135 [in gaia_hydras.T1Bridge]
x:135 [in hydras.Ackermann.primRec]
x:135 [in hydras.Ackermann.fol]
x:136 [in hydras.Prelude.Merge_Sort]
x:136 [in hydras.Ackermann.fol]
x:137 [in hydras.Ackermann.codeFreeVar]
x:137 [in gaia_hydras.T1Bridge]
X:137 [in hydras.Schutte.Schutte_basics]
x:138 [in hydras.Ackermann.codeFreeVar]
x:138 [in gaia_hydras.nfwfgaia]
x:139 [in hydras.Ackermann.codeFreeVar]
x:139 [in gaia_hydras.T1Bridge]
x:1394 [in gaia_hydras.nfwfgaia]
x:1397 [in gaia_hydras.nfwfgaia]
x:14 [in gaia_hydras.T1Choice]
x:14 [in additions.AM]
x:14 [in additions.Compatibility]
x:14 [in Goedel.rosserPA]
x:14 [in additions.Monoid_def]
x:14 [in gaia_hydras.ON_gfinite]
x:14 [in hydras.Ackermann.Deduction]
X:14 [in hydras.Schutte.Schutte_basics]
x:14 [in gaia_hydras.onType]
x:14 [in hydras.Ackermann.NN]
x:14 [in hydras.Schutte.Countable]
x:140 [in hydras.Ackermann.codeFreeVar]
x:140 [in hydras.Prelude.Merge_Sort]
x:140 [in hydras.Schutte.Schutte_basics]
x:140 [in gaia_hydras.nfwfgaia]
x:1405 [in gaia_hydras.nfwfgaia]
x:1409 [in hydras.Ackermann.codeSubFormula]
x:1409 [in gaia_hydras.nfwfgaia]
x:141 [in hydras.Ackermann.codeFreeVar]
X:141 [in hydras.Schutte.Schutte_basics]
x:141 [in gaia_hydras.nfwfgaia]
x:1411 [in gaia_hydras.nfwfgaia]
x:1414 [in hydras.Ackermann.codeSubFormula]
x:1414 [in gaia_hydras.nfwfgaia]
x:1416 [in hydras.Ackermann.codeSubFormula]
x:142 [in hydras.Ackermann.codeFreeVar]
x:142 [in gaia_hydras.nfwfgaia]
x:1421 [in hydras.Ackermann.codeSubFormula]
x:1426 [in hydras.Ackermann.codeSubFormula]
x:143 [in hydras.Ackermann.codeFreeVar]
x:1438 [in gaia_hydras.nfwfgaia]
x:1439 [in gaia_hydras.nfwfgaia]
x:144 [in hydras.Ackermann.codeFreeVar]
x:144 [in hydras.Prelude.Merge_Sort]
x:144 [in additions.Euclidean_Chains]
X:144 [in hydras.Schutte.Schutte_basics]
x:144 [in hydras.OrdinalNotations.ON_Generic]
x:1440 [in gaia_hydras.nfwfgaia]
x:145 [in hydras.Ackermann.codeFreeVar]
x:1451 [in gaia_hydras.nfwfgaia]
x:1452 [in gaia_hydras.nfwfgaia]
x:1453 [in gaia_hydras.nfwfgaia]
x:1454 [in gaia_hydras.nfwfgaia]
x:1455 [in gaia_hydras.nfwfgaia]
x:146 [in hydras.Ackermann.codeFreeVar]
x:146 [in gaia_hydras.T1Bridge]
X:146 [in hydras.Schutte.Schutte_basics]
x:1467 [in gaia_hydras.nfwfgaia]
x:147 [in hydras.Prelude.MoreLists]
x:148 [in hydras.Prelude.Merge_Sort]
x:148 [in gaia_hydras.T1Bridge]
x:148 [in hydras.Ackermann.cPair]
X:148 [in hydras.Schutte.Schutte_basics]
x:148 [in gaia_hydras.nfwfgaia]
x:1486 [in gaia_hydras.nfwfgaia]
x:149 [in hydras.Epsilon0.Paths]
x:15 [in hydras.Prelude.Iterates]
x:15 [in additions.Compatibility]
x:15 [in additions.Pow_variant]
x:15 [in additions.Pow]
x:15 [in hydras.Ackermann.PAtheory]
x:15 [in hydras.MoreAck.AckNotPR]
x:15 [in hydras.Ackermann.subProp]
x:15 [in Goedel.rosserPA]
x:15 [in hydras.Ackermann.cPair]
x:15 [in gaia_hydras.ON_gfinite]
X:15 [in hydras.Schutte.Well_Orders]
x:15 [in additions.Addition_Chains]
x:15 [in Goedel.rosser]
x:150 [in gaia_hydras.nfwfgaia]
x:151 [in gaia_hydras.nfwfgaia]
x:152 [in hydras.Prelude.Merge_Sort]
x:152 [in hydras.Ackermann.cPair]
x:152 [in additions.Euclidean_Chains]
x:152 [in hydras.Schutte.Schutte_basics]
x:152 [in hydras.Epsilon0.Paths]
x:153 [in hydras.Schutte.Schutte_basics]
x:1539 [in gaia_hydras.nfwfgaia]
x:154 [in hydras.Prelude.Merge_Sort]
x:154 [in hydras.Schutte.Schutte_basics]
x:154 [in hydras.Epsilon0.Paths]
X:155 [in hydras.Prelude.MoreLists]
X:155 [in hydras.Schutte.Schutte_basics]
x:156 [in hydras.Ackermann.folProp]
x:1567 [in gaia_hydras.nfwfgaia]
x:157 [in additions.Euclidean_Chains]
x:157 [in hydras.Schutte.Schutte_basics]
x:157 [in hydras.OrdinalNotations.ON_Generic]
x:1570 [in hydras.Ackermann.codeSubFormula]
x:1571 [in gaia_hydras.nfwfgaia]
x:1572 [in hydras.Ackermann.codeSubFormula]
x:1574 [in hydras.Ackermann.codeSubFormula]
x:1576 [in hydras.Ackermann.codeSubFormula]
x:1578 [in hydras.Ackermann.codeSubFormula]
X:158 [in hydras.Prelude.MoreLists]
x:158 [in hydras.Ackermann.folProp]
x:1580 [in hydras.Ackermann.codeSubFormula]
x:1582 [in hydras.Ackermann.codeSubFormula]
x:1584 [in hydras.Ackermann.codeSubFormula]
x:1586 [in hydras.Ackermann.codeSubFormula]
x:1588 [in hydras.Ackermann.codeSubFormula]
x:159 [in hydras.Prelude.Merge_Sort]
X:159 [in hydras.Schutte.Schutte_basics]
x:1590 [in hydras.Ackermann.codeSubFormula]
x:1592 [in hydras.Ackermann.codeSubFormula]
x:1594 [in gaia_hydras.nfwfgaia]
x:1597 [in gaia_hydras.nfwfgaia]
x:16 [in gaia_hydras.T1Choice]
x:16 [in hydras.Prelude.Iterates]
x:16 [in hydras.Ackermann.PAtheory]
x:16 [in hydras.Schutte.Critical]
x:16 [in gaia_hydras.T1Bridge]
x:16 [in additions.Monoid_def]
x:16 [in hydras.Prelude.STDPP_compat]
x:16 [in Goedel.goedel1]
x:16 [in hydras.Ackermann.NN]
x:16 [in hydras.Schutte.Countable]
x:160 [in hydras.Ackermann.folProp]
x:1600 [in gaia_hydras.nfwfgaia]
x:161 [in Goedel.PRrepresentable]
X:161 [in hydras.Prelude.MoreLists]
X:161 [in hydras.Schutte.Schutte_basics]
x:162 [in hydras.Ackermann.folProp]
x:162 [in hydras.Ackermann.cPair]
x:162 [in gaia_hydras.nfwfgaia]
x:163 [in Goedel.PRrepresentable]
x:163 [in hydras.Prelude.Merge_Sort]
x:163 [in hydras.Ackermann.cPair]
x:163 [in hydras.Schutte.Schutte_basics]
x:163 [in gaia_hydras.nfwfgaia]
x:163 [in hydras.Ackermann.codePA]
x:164 [in Goedel.PRrepresentable]
x:164 [in hydras.Ackermann.folProp]
x:164 [in hydras.Schutte.Schutte_basics]
x:164 [in gaia_hydras.nfwfgaia]
x:164 [in hydras.Ackermann.codePA]
x:165 [in hydras.Schutte.Schutte_basics]
x:165 [in gaia_hydras.nfwfgaia]
x:1655 [in gaia_hydras.nfwfgaia]
x:1656 [in gaia_hydras.nfwfgaia]
x:1658 [in gaia_hydras.nfwfgaia]
x:166 [in Goedel.PRrepresentable]
x:166 [in hydras.Ackermann.folProp]
x:166 [in gaia_hydras.nfwfgaia]
x:1663 [in gaia_hydras.nfwfgaia]
x:1666 [in gaia_hydras.nfwfgaia]
x:1668 [in gaia_hydras.nfwfgaia]
x:167 [in Goedel.PRrepresentable]
x:167 [in hydras.Prelude.Merge_Sort]
x:167 [in gaia_hydras.nfwfgaia]
x:1679 [in gaia_hydras.nfwfgaia]
x:168 [in Goedel.PRrepresentable]
x:168 [in hydras.Prelude.MoreLists]
x:168 [in hydras.Ackermann.folProp]
X:168 [in hydras.Schutte.Schutte_basics]
x:1681 [in gaia_hydras.nfwfgaia]
x:1682 [in gaia_hydras.nfwfgaia]
x:1683 [in gaia_hydras.nfwfgaia]
x:1684 [in gaia_hydras.nfwfgaia]
x:1697 [in gaia_hydras.nfwfgaia]
x:1698 [in gaia_hydras.nfwfgaia]
x:17 [in additions.FirstSteps]
x:17 [in hydras.Ackermann.PA]
x:17 [in hydras.Ackermann.cPair]
x:17 [in gaia_hydras.ON_gfinite]
x:17 [in hydras.Ackermann.Deduction]
x:17 [in hydras.Ackermann.NNtheory]
x:17 [in hydras.OrdinalNotations.ON_Generic]
x:17 [in gaia_hydras.onType]
x:17 [in hydras.Ackermann.folLogic3]
x:17 [in Goedel.goedel1]
x:170 [in hydras.Schutte.Schutte_basics]
x:1701 [in gaia_hydras.nfwfgaia]
x:1704 [in gaia_hydras.nfwfgaia]
x:1707 [in gaia_hydras.nfwfgaia]
x:1708 [in gaia_hydras.nfwfgaia]
x:1709 [in gaia_hydras.nfwfgaia]
x:171 [in Goedel.PRrepresentable]
x:171 [in hydras.Ackermann.codeFreeVar]
x:171 [in hydras.Schutte.Schutte_basics]
x:1710 [in gaia_hydras.nfwfgaia]
x:1711 [in gaia_hydras.nfwfgaia]
x:1712 [in gaia_hydras.nfwfgaia]
x:1715 [in gaia_hydras.nfwfgaia]
x:1716 [in gaia_hydras.nfwfgaia]
x:172 [in hydras.Ackermann.codeFreeVar]
x:172 [in hydras.Schutte.Schutte_basics]
x:1723 [in gaia_hydras.nfwfgaia]
x:1724 [in gaia_hydras.nfwfgaia]
x:1725 [in gaia_hydras.nfwfgaia]
x:1726 [in gaia_hydras.nfwfgaia]
x:1728 [in gaia_hydras.nfwfgaia]
x:173 [in Goedel.PRrepresentable]
x:1730 [in gaia_hydras.nfwfgaia]
x:1732 [in gaia_hydras.nfwfgaia]
x:1734 [in gaia_hydras.nfwfgaia]
x:1744 [in gaia_hydras.nfwfgaia]
x:1748 [in gaia_hydras.nfwfgaia]
x:175 [in Goedel.PRrepresentable]
x:175 [in additions.Euclidean_Chains]
x:1755 [in gaia_hydras.nfwfgaia]
x:1756 [in gaia_hydras.nfwfgaia]
x:1761 [in gaia_hydras.nfwfgaia]
x:1766 [in gaia_hydras.nfwfgaia]
x:1767 [in gaia_hydras.nfwfgaia]
x:177 [in Goedel.PRrepresentable]
x:177 [in hydras.Prelude.Iterates]
x:177 [in hydras.Ackermann.fol]
x:1770 [in gaia_hydras.nfwfgaia]
x:178 [in hydras.Ackermann.subAll]
x:1780 [in gaia_hydras.nfwfgaia]
x:1781 [in gaia_hydras.nfwfgaia]
x:1787 [in gaia_hydras.nfwfgaia]
x:179 [in Goedel.PRrepresentable]
x:179 [in hydras.Ackermann.fol]
x:1790 [in gaia_hydras.nfwfgaia]
x:18 [in gaia_hydras.T1Choice]
x:18 [in hydras.solutions_exercises.MinPR2]
x:18 [in additions.Euclidean_Chains]
x:18 [in hydras.Ackermann.Deduction]
x:18 [in hydras.Schutte.PartialFun]
x:18 [in hydras.Prelude.MoreDecidable]
x:18 [in hydras.Ackermann.NN]
x:18 [in hydras.Schutte.Countable]
X:18 [in hydras.Prelude.MoreVectors]
x:180 [in hydras.Prelude.Iterates]
x:180 [in hydras.Ackermann.fol]
x:181 [in Goedel.PRrepresentable]
x:181 [in hydras.Ackermann.subAll]
x:181 [in hydras.Prelude.Iterates]
x:181 [in hydras.Ackermann.fol]
X:182 [in hydras.Prelude.MoreLists]
x:183 [in Goedel.PRrepresentable]
x:183 [in hydras.Prelude.Iterates]
x:183 [in hydras.OrdinalNotations.ON_Generic]
x:184 [in hydras.Ackermann.subAll]
x:184 [in hydras.Ackermann.folProp]
x:1846 [in gaia_hydras.nfwfgaia]
x:185 [in Goedel.PRrepresentable]
x:185 [in hydras.Ackermann.codeFreeVar]
x:186 [in hydras.Ackermann.codeFreeVar]
X:186 [in hydras.Prelude.MoreLists]
x:187 [in Goedel.PRrepresentable]
x:187 [in hydras.Ackermann.subAll]
x:1873 [in gaia_hydras.nfwfgaia]
x:188 [in hydras.Ackermann.model]
x:1882 [in gaia_hydras.nfwfgaia]
x:189 [in Goedel.PRrepresentable]
x:189 [in hydras.Prelude.Iterates]
x:189 [in hydras.Prelude.MoreLists]
x:1890 [in gaia_hydras.nfwfgaia]
x:1891 [in gaia_hydras.nfwfgaia]
x:1892 [in gaia_hydras.nfwfgaia]
x:1896 [in gaia_hydras.nfwfgaia]
x:1899 [in gaia_hydras.nfwfgaia]
x:19 [in additions.Compatibility]
x:19 [in hydras.Prelude.Restriction]
x:19 [in hydras.Schutte.GRelations]
x:19 [in hydras.solutions_exercises.MorePRExamples]
x:19 [in hydras.Prelude.MoreOrders]
x:19 [in hydras.Ackermann.Deduction]
x:19 [in hydras.Ackermann.folLogic3]
x:19 [in additions.Addition_Chains]
x:19 [in hydras.Ackermann.NN]
x:190 [in hydras.Ackermann.subAll]
x:190 [in hydras.Prelude.MoreLists]
x:190 [in hydras.Ackermann.model]
x:1904 [in gaia_hydras.nfwfgaia]
x:1908 [in gaia_hydras.nfwfgaia]
x:191 [in Goedel.PRrepresentable]
x:191 [in hydras.Ackermann.subAll]
x:1913 [in gaia_hydras.nfwfgaia]
x:1917 [in gaia_hydras.nfwfgaia]
x:192 [in hydras.Ackermann.subAll]
x:1922 [in gaia_hydras.nfwfgaia]
x:1928 [in gaia_hydras.nfwfgaia]
x:193 [in hydras.rpo.term]
x:193 [in Goedel.PRrepresentable]
x:193 [in hydras.Ackermann.subAll]
x:193 [in hydras.Prelude.MoreLists]
x:1934 [in gaia_hydras.nfwfgaia]
x:1938 [in gaia_hydras.nfwfgaia]
x:194 [in hydras.Ackermann.subAll]
x:194 [in additions.Addition_Chains]
x:1943 [in gaia_hydras.nfwfgaia]
x:1948 [in gaia_hydras.nfwfgaia]
x:195 [in Goedel.PRrepresentable]
x:195 [in hydras.Ackermann.subAll]
x:1954 [in gaia_hydras.nfwfgaia]
x:196 [in hydras.Ackermann.subAll]
x:196 [in hydras.Prelude.Iterates]
x:196 [in hydras.OrdinalNotations.ON_Generic]
x:1960 [in gaia_hydras.nfwfgaia]
x:197 [in Goedel.PRrepresentable]
x:197 [in additions.Addition_Chains]
x:1972 [in gaia_hydras.nfwfgaia]
x:1978 [in gaia_hydras.nfwfgaia]
x:198 [in hydras.Ackermann.subAll]
x:1983 [in gaia_hydras.nfwfgaia]
x:1988 [in gaia_hydras.nfwfgaia]
x:199 [in Goedel.PRrepresentable]
x:199 [in hydras.Ackermann.codeFreeVar]
x:1994 [in gaia_hydras.nfwfgaia]
x:1999 [in gaia_hydras.nfwfgaia]
x:2 [in hydras.MoreAck.AckNotPR]
x:2 [in Goedel.rosserPA]
X:2 [in hydras.Ackermann.Deduction]
x:2 [in hydras.Prelude.MoreDecidable]
x:20 [in hydras.Prelude.DecPreOrder_Instances]
x:20 [in hydras.Prelude.Iterates]
x:20 [in hydras.Ackermann.subProp]
x:20 [in gaia_hydras.T1Bridge]
x:20 [in hydras.Ackermann.Deduction]
X:20 [in hydras.Schutte.Schutte_basics]
x:200 [in hydras.Ackermann.subAll]
x:200 [in hydras.Ackermann.codeFreeVar]
x:200 [in gaia_hydras.nfwfgaia]
x:201 [in Goedel.PRrepresentable]
x:201 [in hydras.Ackermann.subAll]
x:201 [in additions.Euclidean_Chains]
x:2010 [in gaia_hydras.nfwfgaia]
x:2016 [in gaia_hydras.nfwfgaia]
x:2017 [in gaia_hydras.nfwfgaia]
x:2018 [in gaia_hydras.nfwfgaia]
x:202 [in hydras.Ackermann.subAll]
x:202 [in hydras.Prelude.Iterates]
x:2020 [in gaia_hydras.nfwfgaia]
x:203 [in Goedel.PRrepresentable]
x:203 [in hydras.Ackermann.subAll]
x:203 [in hydras.Prelude.Iterates]
x:2033 [in gaia_hydras.nfwfgaia]
x:2034 [in gaia_hydras.nfwfgaia]
x:2035 [in gaia_hydras.nfwfgaia]
x:204 [in hydras.Ackermann.subAll]
x:204 [in hydras.Prelude.MoreLists]
x:2040 [in gaia_hydras.nfwfgaia]
x:2045 [in gaia_hydras.nfwfgaia]
x:205 [in Goedel.PRrepresentable]
x:205 [in hydras.Ackermann.subAll]
x:2057 [in gaia_hydras.nfwfgaia]
x:2058 [in gaia_hydras.nfwfgaia]
x:206 [in hydras.Ackermann.subAll]
x:206 [in hydras.Prelude.Iterates]
x:2068 [in gaia_hydras.nfwfgaia]
x:207 [in Goedel.PRrepresentable]
x:2076 [in gaia_hydras.nfwfgaia]
x:208 [in hydras.Prelude.Iterates]
x:208 [in hydras.Prelude.MoreLists]
x:2081 [in gaia_hydras.nfwfgaia]
x:2089 [in gaia_hydras.nfwfgaia]
x:209 [in Goedel.PRrepresentable]
x:2095 [in gaia_hydras.nfwfgaia]
x:2096 [in gaia_hydras.nfwfgaia]
x:2098 [in gaia_hydras.nfwfgaia]
x:21 [in additions.AM]
x:21 [in additions.Pow_variant]
x:21 [in additions.Pow]
x:21 [in hydras.Ackermann.Deduction]
x:21 [in hydras.Schutte.Schutte_basics]
x:21 [in hydras.OrdinalNotations.ON_Generic]
x:21 [in hydras.Ackermann.folLogic3]
x:21 [in hydras.MoreAck.FolExamples]
x:2100 [in gaia_hydras.nfwfgaia]
x:2103 [in gaia_hydras.nfwfgaia]
x:2104 [in gaia_hydras.nfwfgaia]
x:2106 [in gaia_hydras.nfwfgaia]
x:211 [in Goedel.PRrepresentable]
x:213 [in Goedel.PRrepresentable]
x:214 [in hydras.Prelude.MoreLists]
x:214 [in hydras.Ackermann.model]
x:214 [in additions.Euclidean_Chains]
x:215 [in Goedel.PRrepresentable]
x:216 [in hydras.Ackermann.model]
x:216 [in additions.Euclidean_Chains]
X:216 [in hydras.Schutte.Schutte_basics]
x:217 [in Goedel.PRrepresentable]
x:217 [in hydras.Ackermann.cPair]
x:218 [in hydras.Prelude.Merge_Sort]
x:218 [in hydras.Schutte.Schutte_basics]
x:219 [in Goedel.PRrepresentable]
x:219 [in hydras.Ackermann.cPair]
x:22 [in hydras.Prelude.DecPreOrder_Instances]
x:22 [in hydras.Prelude.Iterates]
x:22 [in hydras.Prelude.MoreLists]
x:22 [in additions.Compatibility]
x:22 [in hydras.Prelude.Restriction]
x:22 [in Goedel.rosserPA]
x:22 [in hydras.Ackermann.fol]
x:22 [in hydras.Schutte.Well_Orders]
x:22 [in hydras.Ackermann.folLogic3]
x:22 [in hydras.Schutte.Ordering_Functions]
x:22 [in Goedel.rosser]
x:22 [in hydras.Schutte.Countable]
x:220 [in hydras.Prelude.Merge_Sort]
x:220 [in hydras.Schutte.Schutte_basics]
x:221 [in Goedel.PRrepresentable]
x:221 [in hydras.Prelude.Iterates]
x:222 [in hydras.Prelude.Merge_Sort]
x:222 [in hydras.Schutte.Schutte_basics]
x:223 [in hydras.Ackermann.cPair]
x:223 [in hydras.Schutte.Schutte_basics]
x:224 [in hydras.Prelude.Iterates]
x:224 [in hydras.Prelude.Merge_Sort]
x:225 [in Goedel.PRrepresentable]
x:225 [in hydras.Prelude.Iterates]
x:225 [in hydras.Schutte.Schutte_basics]
x:226 [in hydras.Prelude.Merge_Sort]
x:227 [in hydras.Ackermann.cPair]
X:227 [in hydras.Schutte.Schutte_basics]
x:228 [in hydras.Prelude.Iterates]
x:228 [in hydras.Prelude.Merge_Sort]
X:228 [in hydras.Schutte.Schutte_basics]
x:229 [in hydras.Ackermann.codePA]
x:23 [in hydras.Ackermann.folProp]
x:23 [in gaia_hydras.T1Bridge]
x:23 [in Goedel.rosserPA]
x:23 [in additions.Euclidean_Chains]
x:23 [in hydras.OrdinalNotations.ON_Generic]
x:23 [in hydras.Ackermann.NN]
x:23 [in hydras.MoreAck.FolExamples]
x:230 [in hydras.Prelude.Merge_Sort]
x:230 [in hydras.Ackermann.codePA]
x:231 [in hydras.Ackermann.cPair]
x:232 [in Goedel.PRrepresentable]
x:232 [in hydras.Prelude.Merge_Sort]
x:234 [in hydras.Prelude.Merge_Sort]
x:235 [in additions.AM]
x:235 [in hydras.Ackermann.folProp]
x:236 [in hydras.Prelude.Merge_Sort]
x:237 [in hydras.Ackermann.folProp]
x:238 [in hydras.Prelude.Merge_Sort]
x:239 [in hydras.Ackermann.folProp]
x:24 [in additions.Compatibility]
x:24 [in hydras.Prelude.Sort_spec]
x:24 [in hydras.Ackermann.subProp]
x:24 [in hydras.Schutte.Countable]
x:241 [in hydras.Ackermann.folProp]
x:242 [in additions.AM]
x:243 [in hydras.Ackermann.folProp]
x:245 [in hydras.Ackermann.subAll]
x:245 [in hydras.Ackermann.folProp]
x:245 [in additions.Addition_Chains]
x:246 [in hydras.Ackermann.subAll]
x:247 [in hydras.Ackermann.folProp]
x:248 [in hydras.Ackermann.cPair]
x:248 [in additions.Addition_Chains]
x:249 [in Goedel.PRrepresentable]
x:25 [in hydras.Prelude.Restriction]
x:25 [in Goedel.fixPoint]
x:25 [in hydras.Ackermann.cPair]
x:25 [in hydras.Schutte.Well_Orders]
x:25 [in additions.Addition_Chains]
x:25 [in hydras.Ackermann.NN]
x:25 [in hydras.MoreAck.FolExamples]
x:250 [in hydras.Ackermann.cPair]
x:250 [in gaia_hydras.nfwfgaia]
x:251 [in Goedel.PRrepresentable]
x:251 [in additions.Addition_Chains]
x:253 [in Goedel.PRrepresentable]
x:254 [in hydras.Ackermann.cPair]
x:255 [in Goedel.PRrepresentable]
x:256 [in hydras.Ackermann.cPair]
x:257 [in Goedel.PRrepresentable]
x:258 [in hydras.Ackermann.cPair]
x:258 [in additions.Addition_Chains]
x:259 [in Goedel.PRrepresentable]
x:259 [in hydras.Ackermann.subAll]
x:259 [in additions.Addition_Chains]
x:26 [in hydras.Ackermann.folProp]
x:26 [in hydras.MoreAck.AckNotPR]
x:26 [in hydras.Schutte.Critical]
x:26 [in hydras.Epsilon0.F_omega]
x:26 [in hydras.Prelude.MoreOrders]
x:26 [in Goedel.rosserPA]
x:26 [in hydras.OrdinalNotations.ON_Finite]
x:26 [in Goedel.rosser]
x:260 [in hydras.Ackermann.subAll]
x:261 [in hydras.Ackermann.subAll]
x:261 [in hydras.Ackermann.cPair]
x:261 [in additions.Addition_Chains]
x:262 [in hydras.Ackermann.subAll]
x:263 [in hydras.Ackermann.subAll]
x:263 [in hydras.Ackermann.folProp]
x:264 [in Goedel.PRrepresentable]
x:266 [in hydras.Ackermann.subAll]
x:267 [in hydras.Ackermann.subAll]
x:268 [in Goedel.PRrepresentable]
x:268 [in hydras.Ackermann.subAll]
x:269 [in hydras.Ackermann.subAll]
x:27 [in hydras.Prelude.MoreLists]
x:27 [in hydras.Prelude.Sort_spec]
x:27 [in additions.More_on_positive]
x:27 [in gaia_hydras.T1Bridge]
x:27 [in hydras.Ackermann.cPair]
x:27 [in hydras.Ackermann.fol]
x:27 [in hydras.Ackermann.NN]
x:270 [in hydras.Ackermann.subAll]
X:270 [in additions.Euclidean_Chains]
x:270 [in gaia_hydras.nfwfgaia]
x:271 [in hydras.Ackermann.subAll]
x:271 [in gaia_hydras.nfwfgaia]
x:272 [in hydras.Ackermann.subAll]
x:272 [in additions.Addition_Chains]
x:273 [in hydras.Ackermann.subAll]
x:274 [in hydras.Ackermann.subAll]
x:274 [in additions.Addition_Chains]
x:275 [in Goedel.PRrepresentable]
x:275 [in hydras.Ackermann.subAll]
x:276 [in hydras.Ackermann.subAll]
X:276 [in additions.Euclidean_Chains]
x:276 [in gaia_hydras.nfwfgaia]
x:277 [in hydras.Ackermann.subAll]
x:278 [in hydras.Ackermann.subAll]
x:279 [in hydras.Ackermann.subAll]
x:28 [in additions.Pow_variant]
x:28 [in additions.Pow]
x:28 [in hydras.Ackermann.subProp]
x:28 [in hydras.Ackermann.PA]
x:28 [in additions.Monoid_def]
X:28 [in hydras.Schutte.Schutte_basics]
x:28 [in hydras.OrdinalNotations.ON_Generic]
x:28 [in hydras.Schutte.Well_Orders]
x:28 [in hydras.Ackermann.NN]
x:280 [in hydras.Ackermann.subAll]
x:280 [in hydras.Ackermann.folProp]
x:281 [in hydras.Ackermann.subAll]
x:281 [in gaia_hydras.nfwfgaia]
x:284 [in hydras.Ackermann.folProp]
x:285 [in gaia_hydras.nfwfgaia]
x:286 [in hydras.Ackermann.folProp]
x:287 [in gaia_hydras.nfwfgaia]
x:288 [in hydras.Ackermann.folProp]
x:288 [in hydras.Ackermann.fol]
x:289 [in hydras.Ackermann.fol]
x:29 [in Goedel.fixPoint]
x:29 [in hydras.Ackermann.folProp]
x:29 [in additions.More_on_positive]
x:29 [in hydras.MoreAck.AckNotPR]
x:29 [in hydras.Epsilon0.Large_Sets]
x:29 [in hydras.Schutte.Critical]
x:29 [in hydras.Epsilon0.F_omega]
x:29 [in hydras.Ackermann.cPair]
x:29 [in hydras.Ackermann.fol]
X:29 [in hydras.Prelude.MoreVectors]
x:290 [in hydras.rpo.term]
x:290 [in hydras.Ackermann.folProp]
x:292 [in hydras.Ackermann.subAll]
x:292 [in hydras.Ackermann.folProp]
x:293 [in hydras.Ackermann.subAll]
x:293 [in additions.Addition_Chains]
x:294 [in hydras.Ackermann.folProp]
x:297 [in gaia_hydras.nfwfgaia]
x:3 [in Goedel.PRrepresentable]
x:3 [in hydras.Ackermann.PAconsistent]
x:3 [in hydras.Ackermann.LNN]
x:3 [in hydras.Ackermann.LNT]
x:3 [in hydras.MoreAck.Iterate_compat]
x:30 [in Goedel.PRrepresentable]
x:30 [in hydras.Prelude.Restriction]
x:30 [in hydras.Ackermann.folProp]
x:30 [in gaia_hydras.T1Bridge]
x:30 [in hydras.Ackermann.PA]
x:30 [in additions.Monoid_instances]
X:30 [in hydras.Schutte.Schutte_basics]
x:300 [in gaia_hydras.nfwfgaia]
x:301 [in Goedel.PRrepresentable]
x:301 [in hydras.Ackermann.subAll]
x:302 [in hydras.Ackermann.subAll]
x:302 [in gaia_hydras.nfwfgaia]
x:303 [in hydras.Ackermann.subAll]
x:304 [in hydras.Ackermann.subAll]
x:305 [in hydras.Ackermann.subAll]
x:306 [in hydras.Ackermann.subAll]
x:307 [in hydras.Ackermann.subAll]
x:308 [in hydras.Ackermann.subAll]
x:309 [in hydras.Ackermann.subAll]
x:31 [in hydras.Schutte.Critical]
x:31 [in hydras.solutions_exercises.MultisetWf]
x:31 [in hydras.Epsilon0.F_omega]
x:31 [in hydras.Ackermann.cPair]
x:31 [in hydras.Schutte.Well_Orders]
x:310 [in hydras.Ackermann.subAll]
x:311 [in hydras.Ackermann.subAll]
x:311 [in gaia_hydras.nfwfgaia]
x:312 [in hydras.Ackermann.subAll]
x:313 [in hydras.Ackermann.subAll]
x:314 [in gaia_hydras.nfwfgaia]
x:315 [in gaia_hydras.nfwfgaia]
x:316 [in gaia_hydras.nfwfgaia]
x:317 [in gaia_hydras.nfwfgaia]
x:318 [in hydras.Ackermann.subAll]
x:318 [in gaia_hydras.nfwfgaia]
x:319 [in gaia_hydras.nfwfgaia]
x:32 [in hydras.Ackermann.folLogic2]
x:32 [in hydras.Ackermann.PA]
x:32 [in hydras.Prelude.MoreOrders]
x:32 [in additions.Monoid_def]
x:32 [in additions.Monoid_instances]
x:32 [in additions.fib]
x:32 [in hydras.Ackermann.NN]
x:320 [in gaia_hydras.nfwfgaia]
x:322 [in gaia_hydras.nfwfgaia]
x:323 [in hydras.Ackermann.subAll]
x:324 [in hydras.Ackermann.subAll]
x:324 [in gaia_hydras.nfwfgaia]
x:325 [in hydras.Ackermann.subAll]
x:326 [in hydras.Ackermann.subAll]
x:327 [in hydras.Ackermann.subAll]
x:328 [in hydras.Ackermann.subAll]
x:329 [in gaia_hydras.nfwfgaia]
x:33 [in hydras.Ackermann.subProp]
x:33 [in hydras.Epsilon0.F_omega]
x:33 [in hydras.Ackermann.PA]
x:33 [in Goedel.rosserPA]
x:33 [in hydras.Ackermann.fol]
x:33 [in additions.fib]
X:33 [in hydras.Schutte.Well_Orders]
x:33 [in Goedel.rosser]
x:330 [in hydras.Ackermann.subAll]
x:330 [in gaia_hydras.nfwfgaia]
x:332 [in gaia_hydras.nfwfgaia]
x:333 [in hydras.Ackermann.subAll]
x:333 [in hydras.Ackermann.fol]
x:334 [in hydras.Ackermann.fol]
x:335 [in hydras.Ackermann.fol]
x:339 [in gaia_hydras.nfwfgaia]
x:34 [in Goedel.PRrepresentable]
x:34 [in additions.Pow_variant]
x:34 [in additions.Pow]
x:34 [in hydras.Epsilon0.Large_Sets]
x:34 [in hydras.Schutte.Critical]
x:34 [in additions.Monoid_def]
x:34 [in additions.Monoid_instances]
x:34 [in hydras.Ackermann.NN]
x:34 [in Goedel.rosser]
x:34 [in gaia_hydras.nfwfgaia]
x:341 [in gaia_hydras.nfwfgaia]
x:342 [in gaia_hydras.nfwfgaia]
x:343 [in gaia_hydras.nfwfgaia]
x:345 [in gaia_hydras.nfwfgaia]
x:347 [in gaia_hydras.nfwfgaia]
x:349 [in hydras.Ackermann.primRec]
x:349 [in gaia_hydras.nfwfgaia]
x:35 [in hydras.Prelude.Sort_spec]
x:35 [in hydras.Epsilon0.F_omega]
x:35 [in hydras.Prelude.MoreOrders]
x:351 [in gaia_hydras.nfwfgaia]
x:353 [in hydras.Ackermann.primRec]
x:354 [in hydras.Ackermann.subAll]
x:355 [in hydras.Ackermann.subAll]
x:358 [in hydras.Ackermann.primRec]
x:36 [in hydras.Ackermann.folLogic2]
x:36 [in hydras.Schutte.Critical]
x:36 [in hydras.Ackermann.fol]
X:36 [in hydras.Schutte.Well_Orders]
x:36 [in hydras.Ackermann.NN]
x:360 [in hydras.Ackermann.subAll]
x:361 [in hydras.Ackermann.subAll]
x:361 [in hydras.Ackermann.primRec]
x:362 [in hydras.Ackermann.subAll]
x:363 [in hydras.Ackermann.subAll]
x:365 [in hydras.Ackermann.subAll]
x:365 [in gaia_hydras.nfwfgaia]
x:366 [in hydras.Ackermann.subAll]
x:366 [in hydras.Ackermann.primRec]
x:368 [in hydras.Ackermann.subAll]
x:37 [in hydras.Prelude.Restriction]
x:37 [in additions.FirstSteps]
x:37 [in hydras.Ackermann.PA]
x:37 [in additions.Monoid_instances]
X:37 [in hydras.Schutte.Schutte_basics]
x:37 [in additions.fib]
x:37 [in hydras.Ackermann.NN]
x:370 [in gaia_hydras.nfwfgaia]
x:372 [in hydras.Ackermann.primRec]
x:374 [in hydras.Ackermann.subAll]
x:375 [in hydras.Ackermann.subAll]
x:376 [in Goedel.PRrepresentable]
x:377 [in hydras.Ackermann.subAll]
x:378 [in Goedel.PRrepresentable]
x:378 [in hydras.Ackermann.subAll]
x:378 [in hydras.Ackermann.fol]
x:378 [in gaia_hydras.nfwfgaia]
x:379 [in hydras.Ackermann.primRec]
x:379 [in hydras.Ackermann.fol]
x:379 [in gaia_hydras.nfwfgaia]
x:38 [in hydras.Prelude.MoreLists]
x:38 [in hydras.Ackermann.subProp]
x:38 [in Goedel.rosserPA]
x:38 [in additions.Monoid_instances]
x:38 [in gaia_hydras.nfwfgaia]
x:380 [in Goedel.PRrepresentable]
x:380 [in hydras.Ackermann.subAll]
x:382 [in Goedel.PRrepresentable]
x:382 [in gaia_hydras.nfwfgaia]
x:383 [in hydras.Ackermann.primRec]
x:383 [in gaia_hydras.nfwfgaia]
x:389 [in hydras.Ackermann.primRec]
x:389 [in gaia_hydras.nfwfgaia]
x:39 [in hydras.Ackermann.PA]
x:39 [in hydras.Prelude.MoreOrders]
x:39 [in hydras.Ackermann.fol]
x:39 [in gaia_hydras.nfwfgaia]
x:392 [in gaia_hydras.nfwfgaia]
x:396 [in hydras.Ackermann.primRec]
x:399 [in gaia_hydras.nfwfgaia]
x:4 [in hydras.Prelude.Iterates]
x:4 [in hydras.Ackermann.NN2PA]
x:4 [in additions.FirstSteps]
X:4 [in hydras.Schutte.Lub]
x:4 [in hydras.Ackermann.Deduction]
x:4 [in gaia_hydras.onType]
x:4 [in hydras.Ackermann.wConsistent]
x:4 [in hydras.MoreAck.PrimRecExamples]
x:40 [in additions.AM]
x:40 [in hydras.Prelude.MoreLists]
x:40 [in additions.Compatibility]
x:40 [in hydras.Schutte.Critical]
x:40 [in gaia_hydras.T1Bridge]
x:40 [in hydras.Ackermann.primRec]
x:40 [in hydras.OrdinalNotations.ON_Generic]
X:40 [in hydras.Schutte.Well_Orders]
x:40 [in hydras.Ackermann.NN]
x:401 [in hydras.Ackermann.folProp]
x:403 [in hydras.Ackermann.primRec]
x:41 [in additions.Compatibility]
x:41 [in hydras.Ackermann.PA]
x:41 [in hydras.Prelude.MoreOrders]
x:41 [in Goedel.rosserPA]
x:41 [in hydras.Ackermann.primRec]
x:41 [in hydras.Schutte.Ordering_Functions]
x:411 [in hydras.Epsilon0.T1]
x:411 [in hydras.Ackermann.primRec]
x:415 [in hydras.Ackermann.primRec]
x:42 [in hydras.Prelude.Iterates]
x:42 [in hydras.Ackermann.model]
x:42 [in hydras.Ackermann.PA]
x:42 [in hydras.Ackermann.NN]
x:42 [in hydras.Schutte.Ordering_Functions]
X:42 [in hydras.MoreAck.FolExamples]
x:423 [in hydras.Ackermann.fol]
x:426 [in hydras.Ackermann.fol]
x:428 [in hydras.Ackermann.primRec]
x:429 [in hydras.Ackermann.folProp]
x:43 [in additions.FirstSteps]
x:43 [in hydras.Ackermann.subProp]
x:43 [in hydras.OrdinalNotations.ON_Generic]
X:43 [in hydras.Schutte.Well_Orders]
x:434 [in hydras.Ackermann.folProp]
x:434 [in hydras.Ackermann.primRec]
x:434 [in gaia_hydras.nfwfgaia]
x:435 [in gaia_hydras.nfwfgaia]
x:438 [in hydras.Gamma0.Gamma0]
x:44 [in additions.Compatibility]
x:44 [in hydras.Prelude.Restriction]
x:44 [in additions.Pow_variant]
x:44 [in additions.Pow]
x:44 [in hydras.Prelude.Sort_spec]
x:44 [in hydras.Schutte.Well_Orders]
x:44 [in hydras.Ackermann.NN]
x:440 [in hydras.Ackermann.folProp]
x:440 [in hydras.Gamma0.Gamma0]
x:442 [in hydras.Ackermann.primRec]
x:443 [in hydras.Gamma0.Gamma0]
x:448 [in hydras.Gamma0.Gamma0]
x:45 [in hydras.Ackermann.NN]
x:450 [in hydras.Ackermann.primRec]
x:455 [in hydras.Ackermann.primRec]
x:46 [in hydras.Prelude.MoreLists]
x:46 [in hydras.Ackermann.folProp]
x:46 [in hydras.Ackermann.PA]
x:46 [in hydras.OrdinalNotations.ON_Generic]
x:46 [in hydras.MoreAck.FolExamples]
x:463 [in hydras.Ackermann.primRec]
x:468 [in hydras.Ackermann.primRec]
x:47 [in hydras.Ackermann.model]
x:47 [in hydras.Ackermann.subProp]
x:47 [in hydras.Schutte.Critical]
x:47 [in gaia_hydras.T1Bridge]
X:47 [in hydras.Schutte.Well_Orders]
x:472 [in hydras.Ackermann.primRec]
x:473 [in additions.Euclidean_Chains]
x:475 [in additions.Euclidean_Chains]
x:476 [in hydras.Ackermann.primRec]
x:477 [in additions.Euclidean_Chains]
x:479 [in additions.Euclidean_Chains]
x:48 [in additions.AM]
x:48 [in hydras.Ackermann.folProp]
x:48 [in hydras.Ackermann.PA]
x:480 [in additions.Euclidean_Chains]
x:484 [in hydras.Ackermann.primRec]
x:489 [in hydras.Ackermann.primRec]
X:49 [in hydras.Schutte.Schutte_basics]
x:49 [in hydras.MoreAck.PrimRecExamples]
x:494 [in hydras.Ackermann.primRec]
x:499 [in hydras.Ackermann.primRec]
x:5 [in hydras.solutions_exercises.MinPR2]
x:5 [in hydras.Ackermann.PAconsistent]
x:5 [in additions.Compatibility]
x:5 [in hydras.Ackermann.LNN]
x:5 [in hydras.Ackermann.LNT]
x:5 [in hydras.MoreAck.AckNotPR]
x:5 [in hydras.Ackermann.subProp]
x:5 [in additions.Euclidean_Chains]
x:5 [in additions.Naive]
X:5 [in hydras.Ackermann.Deduction]
x:5 [in hydras.Prelude.STDPP_compat]
X:5 [in hydras.Schutte.Well_Orders]
x:5 [in additions.Addition_Chains]
x:5 [in hydras.Ackermann.NN]
x:5 [in hydras.rpo.closure]
x:5 [in hydras.Ackermann.Languages]
x:50 [in hydras.Ackermann.PA]
X:50 [in hydras.Schutte.Schutte_basics]
x:500 [in gaia_hydras.nfwfgaia]
x:503 [in hydras.Ackermann.primRec]
x:503 [in gaia_hydras.nfwfgaia]
x:506 [in gaia_hydras.nfwfgaia]
x:507 [in gaia_hydras.nfwfgaia]
x:509 [in gaia_hydras.nfwfgaia]
x:51 [in hydras.Ackermann.model]
x:51 [in hydras.Ackermann.subProp]
x:51 [in hydras.Ackermann.PA]
x:515 [in gaia_hydras.nfwfgaia]
x:52 [in hydras.Ackermann.folProp]
x:520 [in gaia_hydras.nfwfgaia]
x:525 [in gaia_hydras.nfwfgaia]
x:528 [in gaia_hydras.nfwfgaia]
x:53 [in additions.Pow_variant]
x:53 [in additions.Pow]
x:532 [in gaia_hydras.nfwfgaia]
x:535 [in gaia_hydras.nfwfgaia]
x:536 [in gaia_hydras.nfwfgaia]
x:537 [in gaia_hydras.nfwfgaia]
x:538 [in gaia_hydras.nfwfgaia]
x:539 [in gaia_hydras.nfwfgaia]
x:54 [in hydras.Ackermann.fol]
x:54 [in hydras.MoreAck.PrimRecExamples]
x:540 [in gaia_hydras.nfwfgaia]
x:541 [in gaia_hydras.nfwfgaia]
x:547 [in gaia_hydras.nfwfgaia]
x:55 [in hydras.Ackermann.model]
X:55 [in hydras.Schutte.Well_Orders]
x:551 [in gaia_hydras.nfwfgaia]
x:554 [in gaia_hydras.nfwfgaia]
x:56 [in hydras.Ackermann.subProp]
x:56 [in Goedel.rosserPA]
x:569 [in hydras.Ackermann.primRec]
x:57 [in hydras.MoreAck.AckNotPR]
x:57 [in hydras.Ackermann.fol]
x:57 [in hydras.MoreAck.PrimRecExamples]
x:570 [in hydras.Ackermann.primRec]
x:570 [in gaia_hydras.nfwfgaia]
x:571 [in hydras.Ackermann.primRec]
x:572 [in hydras.Ackermann.primRec]
x:573 [in hydras.Ackermann.primRec]
x:573 [in gaia_hydras.nfwfgaia]
x:574 [in hydras.Ackermann.primRec]
x:575 [in hydras.Ackermann.primRec]
x:576 [in hydras.Ackermann.primRec]
x:577 [in gaia_hydras.nfwfgaia]
x:583 [in gaia_hydras.nfwfgaia]
x:584 [in hydras.Ackermann.primRec]
x:584 [in gaia_hydras.nfwfgaia]
x:585 [in hydras.Ackermann.primRec]
x:586 [in gaia_hydras.nfwfgaia]
x:588 [in gaia_hydras.nfwfgaia]
x:59 [in hydras.Ackermann.model]
x:59 [in hydras.Ackermann.fol]
x:59 [in hydras.OrdinalNotations.ON_Generic]
x:59 [in Goedel.rosser]
x:591 [in gaia_hydras.nfwfgaia]
x:592 [in gaia_hydras.nfwfgaia]
x:594 [in gaia_hydras.nfwfgaia]
x:6 [in Goedel.PRrepresentable]
x:6 [in hydras.Prelude.DecPreOrder_Instances]
x:6 [in hydras.Prelude.More_Arith]
x:6 [in hydras.Ackermann.LNN]
x:6 [in additions.Pow_variant]
x:6 [in hydras.Schutte.Lub]
x:6 [in additions.Pow]
x:6 [in hydras.Schutte.Critical]
x:6 [in hydras.Prelude.MoreOrders]
x:60 [in hydras.Ackermann.fol]
X:60 [in hydras.Schutte.Well_Orders]
x:60 [in Goedel.rosser]
x:605 [in gaia_hydras.nfwfgaia]
x:606 [in gaia_hydras.nfwfgaia]
x:607 [in gaia_hydras.nfwfgaia]
x:608 [in hydras.Gamma0.Gamma0]
x:61 [in additions.Pow_variant]
x:61 [in additions.Pow]
x:61 [in hydras.Ackermann.subProp]
x:61 [in hydras.Schutte.PartialFun]
x:61 [in hydras.MoreAck.PrimRecExamples]
x:611 [in hydras.Gamma0.Gamma0]
x:612 [in gaia_hydras.nfwfgaia]
x:616 [in gaia_hydras.nfwfgaia]
x:617 [in gaia_hydras.nfwfgaia]
x:618 [in gaia_hydras.nfwfgaia]
x:619 [in gaia_hydras.nfwfgaia]
x:62 [in hydras.Ackermann.folProp]
x:621 [in gaia_hydras.nfwfgaia]
x:623 [in gaia_hydras.nfwfgaia]
x:63 [in hydras.Prelude.Fuel]
x:63 [in Goedel.rosserPA]
x:63 [in hydras.Schutte.PartialFun]
x:636 [in gaia_hydras.nfwfgaia]
x:64 [in additions.Pow_variant]
x:64 [in additions.Pow]
x:64 [in Goedel.rosserPA]
x:64 [in gaia_hydras.nfwfgaia]
x:644 [in gaia_hydras.nfwfgaia]
x:647 [in gaia_hydras.nfwfgaia]
x:65 [in hydras.Epsilon0.Epsilon0rpo]
x:65 [in hydras.Ackermann.model]
x:653 [in gaia_hydras.nfwfgaia]
x:655 [in hydras.Ackermann.primRec]
x:655 [in gaia_hydras.nfwfgaia]
x:657 [in gaia_hydras.nfwfgaia]
x:66 [in additions.AM]
x:66 [in hydras.Ackermann.subProp]
x:66 [in hydras.Ackermann.primRec]
x:66 [in gaia_hydras.nfwfgaia]
x:661 [in hydras.Ackermann.primRec]
x:668 [in hydras.Ackermann.primRec]
x:669 [in hydras.Ackermann.primRec]
x:67 [in hydras.Epsilon0.Epsilon0rpo]
x:67 [in additions.Pow_variant]
x:67 [in additions.Pow]
x:67 [in hydras.Schutte.Critical]
x:67 [in additions.Monoid_def]
x:673 [in hydras.Ackermann.primRec]
x:673 [in gaia_hydras.nfwfgaia]
x:674 [in gaia_hydras.nfwfgaia]
x:675 [in hydras.Ackermann.primRec]
x:677 [in gaia_hydras.nfwfgaia]
x:678 [in gaia_hydras.nfwfgaia]
x:68 [in hydras.Prelude.MoreLists]
x:68 [in hydras.Schutte.Critical]
x:68 [in hydras.Ackermann.fol]
x:68 [in Goedel.rosser]
x:681 [in gaia_hydras.nfwfgaia]
x:684 [in gaia_hydras.nfwfgaia]
x:685 [in gaia_hydras.nfwfgaia]
x:69 [in hydras.Prelude.MoreLists]
x:69 [in additions.Pow_variant]
x:69 [in hydras.Ackermann.model]
x:69 [in additions.Pow]
x:69 [in hydras.Schutte.Critical]
x:690 [in gaia_hydras.nfwfgaia]
x:699 [in gaia_hydras.nfwfgaia]
x:7 [in hydras.rpo.more_list]
x:7 [in hydras.Ackermann.LNT]
x:7 [in hydras.Ackermann.cPair]
x:7 [in additions.Naive]
x:7 [in hydras.Prelude.MoreDecidable]
x:7 [in hydras.Schutte.Well_Orders]
x:7 [in hydras.Ackermann.folLogic3]
x:7 [in hydras.Ackermann.wConsistent]
x:7 [in hydras.Ackermann.NN]
x:7 [in hydras.rpo.closure]
x:7 [in hydras.Ackermann.Languages]
x:7 [in hydras.Schutte.Countable]
x:70 [in hydras.Prelude.MoreLists]
x:70 [in hydras.Ackermann.subProp]
x:70 [in hydras.Schutte.Critical]
x:706 [in hydras.Gamma0.Gamma0]
x:708 [in hydras.Ackermann.primRec]
x:708 [in hydras.Gamma0.Gamma0]
x:709 [in gaia_hydras.nfwfgaia]
x:71 [in hydras.Prelude.Iterates]
x:71 [in hydras.Epsilon0.Epsilon0rpo]
x:713 [in hydras.Ackermann.primRec]
x:72 [in additions.Pow_variant]
x:72 [in additions.Pow]
x:72 [in hydras.MoreAck.PrimRecExamples]
x:728 [in hydras.Epsilon0.T1]
x:73 [in additions.Pow_variant]
x:73 [in hydras.Ackermann.folLogic3]
x:73 [in Goedel.rosser]
x:735 [in gaia_hydras.nfwfgaia]
x:74 [in hydras.OrdinalNotations.ON_Omega2]
x:74 [in hydras.Ackermann.subProp]
x:74 [in hydras.Hydra.BigBattle]
x:74 [in hydras.Ackermann.folLogic3]
x:75 [in hydras.Prelude.Iterates]
x:75 [in hydras.Epsilon0.Epsilon0rpo]
x:75 [in additions.Pow]
x:75 [in hydras.Epsilon0.Hessenberg]
x:75 [in additions.Monoid_def]
x:75 [in hydras.Ackermann.fol]
x:75 [in hydras.Schutte.PartialFun]
x:76 [in additions.Pow]
x:76 [in additions.Addition_Chains]
x:762 [in gaia_hydras.nfwfgaia]
x:763 [in gaia_hydras.nfwfgaia]
x:766 [in gaia_hydras.nfwfgaia]
x:768 [in gaia_hydras.nfwfgaia]
x:77 [in additions.AM]
x:77 [in additions.Pow_variant]
x:77 [in hydras.MoreAck.AckNotPR]
x:77 [in hydras.Schutte.PartialFun]
x:77 [in hydras.MoreAck.PrimRecExamples]
x:770 [in gaia_hydras.nfwfgaia]
x:771 [in gaia_hydras.nfwfgaia]
x:773 [in gaia_hydras.nfwfgaia]
x:774 [in gaia_hydras.nfwfgaia]
x:778 [in gaia_hydras.nfwfgaia]
x:782 [in gaia_hydras.nfwfgaia]
x:79 [in hydras.Prelude.Iterates]
x:79 [in additions.Pow_variant]
x:79 [in hydras.Ackermann.subProp]
x:794 [in gaia_hydras.nfwfgaia]
x:797 [in gaia_hydras.nfwfgaia]
x:8 [in hydras.Prelude.WfVariant]
x:8 [in additions.FirstSteps]
x:8 [in hydras.Ackermann.LNN]
x:8 [in additions.Wf_transparent]
x:8 [in hydras.Ackermann.wConsistent]
x:80 [in additions.Pow_variant]
x:80 [in additions.Pow]
x:80 [in hydras.Ackermann.fol]
x:80 [in hydras.MoreAck.PrimRecExamples]
x:81 [in hydras.MoreAck.AckNotPR]
x:813 [in gaia_hydras.nfwfgaia]
x:816 [in gaia_hydras.nfwfgaia]
x:817 [in hydras.Ackermann.primRec]
x:818 [in hydras.Ackermann.primRec]
x:819 [in gaia_hydras.nfwfgaia]
x:82 [in additions.Pow_variant]
x:82 [in additions.Pow]
x:823 [in gaia_hydras.nfwfgaia]
x:826 [in gaia_hydras.nfwfgaia]
x:829 [in gaia_hydras.nfwfgaia]
x:83 [in hydras.Prelude.Iterates]
x:83 [in hydras.Ackermann.folLogic3]
x:83 [in hydras.Prelude.MoreVectors]
x:831 [in gaia_hydras.nfwfgaia]
x:837 [in gaia_hydras.nfwfgaia]
x:84 [in additions.Pow_variant]
x:84 [in additions.Pow]
x:84 [in hydras.Ackermann.subProp]
x:84 [in hydras.Ackermann.folLogic3]
x:85 [in hydras.Ackermann.fol]
x:857 [in gaia_hydras.nfwfgaia]
x:86 [in hydras.Prelude.Iterates]
x:86 [in additions.Pow_variant]
x:86 [in additions.Pow]
x:86 [in hydras.MoreAck.AckNotPR]
x:86 [in hydras.MoreAck.PrimRecExamples]
x:87 [in additions.AM]
x:87 [in hydras.Ackermann.fol]
x:87 [in additions.fib]
x:875 [in gaia_hydras.nfwfgaia]
x:88 [in additions.Pow]
x:88 [in hydras.Epsilon0.Large_Sets]
x:883 [in gaia_hydras.nfwfgaia]
x:887 [in gaia_hydras.nfwfgaia]
x:889 [in gaia_hydras.nfwfgaia]
x:89 [in additions.Pow_variant]
x:89 [in additions.Pow]
x:89 [in hydras.Ackermann.subProp]
x:89 [in Goedel.rosserPA]
x:89 [in hydras.Ackermann.fol]
x:89 [in additions.fib]
x:892 [in gaia_hydras.nfwfgaia]
x:9 [in Goedel.PRrepresentable]
x:9 [in hydras.Ackermann.LNT]
x:9 [in hydras.Ackermann.cPair]
x:9 [in gaia_hydras.onType]
x:9 [in hydras.Schutte.Well_Orders]
x:9 [in hydras.Ackermann.folLogic3]
x:9 [in additions.Addition_Chains]
x:9 [in hydras.Ackermann.NN]
x:90 [in additions.Pow_variant]
x:90 [in Goedel.rosserPA]
x:90 [in gaia_hydras.nfwfgaia]
x:91 [in additions.Pow_variant]
x:918 [in gaia_hydras.nfwfgaia]
x:919 [in gaia_hydras.nfwfgaia]
x:92 [in additions.Pow]
x:920 [in gaia_hydras.nfwfgaia]
x:921 [in gaia_hydras.nfwfgaia]
x:922 [in gaia_hydras.nfwfgaia]
x:93 [in hydras.Ackermann.subProp]
x:93 [in hydras.MoreAck.PrimRecExamples]
x:933 [in gaia_hydras.nfwfgaia]
x:934 [in gaia_hydras.nfwfgaia]
x:935 [in gaia_hydras.nfwfgaia]
x:94 [in hydras.Ackermann.model]
x:94 [in additions.Euclidean_Chains]
x:94 [in gaia_hydras.nfwfgaia]
x:95 [in additions.Pow]
x:95 [in additions.fib]
x:95 [in gaia_hydras.nfwfgaia]
x:96 [in hydras.Ackermann.model]
x:96 [in hydras.MoreAck.PrimRecExamples]
x:97 [in additions.Addition_Chains]
x:97 [in hydras.Prelude.MoreVectors]
x:98 [in additions.Pow_variant]
x:98 [in hydras.Ackermann.model]
x:98 [in additions.Pow]
x:98 [in hydras.MoreAck.AckNotPR]
X:98 [in hydras.Schutte.Schutte_basics]
x:98 [in hydras.Schutte.Ordering_Functions]
x:982 [in gaia_hydras.nfwfgaia]
x:99 [in hydras.Ackermann.model]
x:99 [in additions.Pow]
x:99 [in hydras.MoreAck.AckNotPR]
x:99 [in hydras.Ackermann.cPair]
x:992 [in gaia_hydras.nfwfgaia]

Y

y0:272 [in additions.Euclidean_Chains]
y0:274 [in additions.Euclidean_Chains]
y0:278 [in additions.Euclidean_Chains]
y0:280 [in additions.Euclidean_Chains]
y:10 [in Goedel.PRrepresentable]
y:10 [in hydras.Ackermann.LNT]
y:10 [in additions.Wf_transparent]
y:10 [in hydras.Ackermann.cPair]
y:10 [in hydras.Schutte.Well_Orders]
y:10 [in additions.Addition_Chains]
y:100 [in hydras.Ackermann.folProp]
y:100 [in hydras.MoreAck.AckNotPR]
y:101 [in hydras.Schutte.Ordering_Functions]
y:101 [in hydras.Prelude.MoreVectors]
y:102 [in hydras.Ackermann.folProp]
y:103 [in hydras.Schutte.Ordering_Functions]
y:103 [in hydras.MoreAck.PrimRecExamples]
y:104 [in hydras.Ackermann.folProp]
y:104 [in hydras.MoreAck.AckNotPR]
y:104 [in hydras.Ackermann.fol]
y:1040 [in gaia_hydras.nfwfgaia]
y:105 [in hydras.Schutte.Ordering_Functions]
y:105 [in hydras.Prelude.MoreVectors]
y:106 [in hydras.MoreAck.AckNotPR]
y:107 [in additions.Euclidean_Chains]
y:1076 [in gaia_hydras.nfwfgaia]
y:108 [in additions.Pow]
y:108 [in hydras.Ackermann.fol]
y:1088 [in gaia_hydras.nfwfgaia]
y:1090 [in gaia_hydras.nfwfgaia]
y:1092 [in gaia_hydras.nfwfgaia]
y:1094 [in gaia_hydras.nfwfgaia]
y:1096 [in gaia_hydras.nfwfgaia]
y:11 [in hydras.Ackermann.LNN]
y:11 [in additions.Monoid_def]
y:11 [in gaia_hydras.onType]
y:1115 [in gaia_hydras.nfwfgaia]
y:112 [in hydras.Ackermann.folProp]
y:1120 [in gaia_hydras.nfwfgaia]
y:115 [in hydras.Prelude.Iterates]
y:115 [in hydras.Ackermann.folProp]
y:116 [in additions.AM]
y:116 [in hydras.Prelude.MoreLists]
y:116 [in gaia_hydras.nfwfgaia]
y:117 [in hydras.Ackermann.folProp]
y:118 [in hydras.Prelude.Iterates]
y:118 [in additions.Euclidean_Chains]
y:119 [in hydras.OrdinalNotations.ON_Generic]
y:12 [in hydras.Prelude.Restriction]
y:12 [in hydras.Schutte.Lub]
y:12 [in hydras.Prelude.Sort_spec]
y:12 [in hydras.Ackermann.cPair]
y:12 [in additions.Naive]
y:12 [in hydras.Schutte.Schutte_basics]
y:12 [in hydras.Prelude.LibHyps_Experiments]
y:120 [in hydras.Ackermann.folProp]
y:1216 [in gaia_hydras.nfwfgaia]
y:122 [in hydras.Ackermann.folProp]
y:123 [in gaia_hydras.nfwfgaia]
y:1230 [in gaia_hydras.nfwfgaia]
y:124 [in additions.Euclidean_Chains]
y:125 [in hydras.Prelude.MoreLists]
y:125 [in additions.Euclidean_Chains]
y:1251 [in gaia_hydras.nfwfgaia]
y:126 [in hydras.Ackermann.folProp]
y:126 [in additions.Euclidean_Chains]
y:127 [in hydras.Prelude.Merge_Sort]
y:127 [in additions.Euclidean_Chains]
y:128 [in additions.Euclidean_Chains]
y:129 [in hydras.Prelude.Merge_Sort]
y:13 [in Goedel.PRrepresentable]
y:13 [in additions.Compatibility]
y:13 [in hydras.solutions_exercises.MorePRExamples]
y:131 [in hydras.Schutte.Schutte_basics]
y:132 [in hydras.Schutte.Schutte_basics]
y:1326 [in gaia_hydras.nfwfgaia]
y:134 [in hydras.Schutte.Schutte_basics]
y:135 [in hydras.Prelude.Merge_Sort]
y:136 [in hydras.Ackermann.folProp]
y:136 [in gaia_hydras.T1Bridge]
y:136 [in hydras.Schutte.Schutte_basics]
y:137 [in hydras.Prelude.Merge_Sort]
y:138 [in hydras.Ackermann.folProp]
y:138 [in gaia_hydras.T1Bridge]
y:1398 [in gaia_hydras.nfwfgaia]
y:14 [in hydras.Prelude.DecPreOrder_Instances]
y:14 [in hydras.Ackermann.LNN]
y:14 [in hydras.Ackermann.cPair]
y:14 [in additions.Euclidean_Chains]
y:140 [in hydras.Ackermann.folProp]
y:1406 [in gaia_hydras.nfwfgaia]
y:141 [in hydras.Prelude.Merge_Sort]
y:1410 [in gaia_hydras.nfwfgaia]
y:1412 [in gaia_hydras.nfwfgaia]
y:1415 [in gaia_hydras.nfwfgaia]
y:143 [in gaia_hydras.nfwfgaia]
y:145 [in hydras.Prelude.Merge_Sort]
y:145 [in additions.Euclidean_Chains]
y:1456 [in gaia_hydras.nfwfgaia]
y:147 [in gaia_hydras.T1Bridge]
y:148 [in hydras.Prelude.MoreLists]
y:1487 [in gaia_hydras.nfwfgaia]
y:149 [in hydras.Prelude.Merge_Sort]
y:149 [in gaia_hydras.T1Bridge]
y:149 [in gaia_hydras.nfwfgaia]
y:15 [in gaia_hydras.T1Choice]
y:15 [in hydras.Prelude.MoreOrders]
y:150 [in hydras.Schutte.Schutte_basics]
y:153 [in hydras.Prelude.Merge_Sort]
y:155 [in hydras.Prelude.Merge_Sort]
Y:156 [in hydras.Schutte.Schutte_basics]
y:157 [in hydras.Ackermann.folProp]
y:158 [in hydras.Schutte.Schutte_basics]
y:158 [in hydras.OrdinalNotations.ON_Generic]
y:159 [in hydras.Ackermann.folProp]
y:16 [in hydras.Ackermann.cPair]
y:16 [in gaia_hydras.ON_gfinite]
y:16 [in hydras.Schutte.Schutte_basics]
y:160 [in hydras.Prelude.Merge_Sort]
Y:160 [in hydras.Schutte.Schutte_basics]
y:161 [in hydras.Ackermann.folProp]
y:162 [in hydras.Schutte.Schutte_basics]
y:163 [in hydras.Ackermann.folProp]
y:164 [in hydras.Prelude.Merge_Sort]
y:165 [in hydras.Ackermann.folProp]
y:1657 [in gaia_hydras.nfwfgaia]
y:1659 [in gaia_hydras.nfwfgaia]
y:167 [in hydras.Ackermann.folProp]
y:168 [in hydras.Prelude.Merge_Sort]
y:169 [in hydras.Prelude.MoreLists]
y:169 [in hydras.Ackermann.folProp]
y:169 [in hydras.Schutte.Schutte_basics]
y:17 [in Goedel.PRrepresentable]
y:17 [in gaia_hydras.T1Choice]
y:17 [in hydras.Schutte.Critical]
y:17 [in gaia_hydras.T1Bridge]
y:17 [in hydras.Prelude.STDPP_compat]
y:1717 [in gaia_hydras.nfwfgaia]
y:1727 [in gaia_hydras.nfwfgaia]
y:1729 [in gaia_hydras.nfwfgaia]
y:1731 [in gaia_hydras.nfwfgaia]
y:1733 [in gaia_hydras.nfwfgaia]
y:1735 [in gaia_hydras.nfwfgaia]
y:175 [in hydras.Ackermann.folProp]
y:1757 [in gaia_hydras.nfwfgaia]
y:176 [in hydras.Ackermann.folProp]
y:176 [in additions.Euclidean_Chains]
y:1762 [in gaia_hydras.nfwfgaia]
y:18 [in hydras.Ackermann.PA]
y:18 [in hydras.Ackermann.cPair]
y:18 [in gaia_hydras.ON_gfinite]
y:18 [in hydras.OrdinalNotations.ON_Generic]
y:18 [in gaia_hydras.onType]
y:182 [in hydras.Ackermann.folProp]
y:183 [in hydras.Ackermann.folProp]
y:185 [in hydras.Ackermann.folProp]
y:1850 [in gaia_hydras.nfwfgaia]
y:189 [in hydras.Ackermann.model]
y:189 [in hydras.Schutte.Schutte_basics]
y:19 [in gaia_hydras.T1Choice]
y:19 [in hydras.solutions_exercises.MinPR2]
y:190 [in hydras.Prelude.Iterates]
y:1900 [in gaia_hydras.nfwfgaia]
y:1905 [in gaia_hydras.nfwfgaia]
y:1909 [in gaia_hydras.nfwfgaia]
y:191 [in hydras.Prelude.MoreLists]
y:191 [in hydras.Ackermann.model]
y:191 [in hydras.Ackermann.folProp]
y:1914 [in gaia_hydras.nfwfgaia]
y:1918 [in gaia_hydras.nfwfgaia]
y:192 [in hydras.Ackermann.folProp]
y:1923 [in gaia_hydras.nfwfgaia]
y:1929 [in gaia_hydras.nfwfgaia]
y:1935 [in gaia_hydras.nfwfgaia]
y:1939 [in gaia_hydras.nfwfgaia]
y:194 [in hydras.rpo.term]
y:194 [in hydras.Prelude.MoreLists]
y:1944 [in gaia_hydras.nfwfgaia]
y:1949 [in gaia_hydras.nfwfgaia]
y:195 [in hydras.Schutte.Schutte_basics]
y:1955 [in gaia_hydras.nfwfgaia]
y:196 [in hydras.Schutte.Schutte_basics]
y:1961 [in gaia_hydras.nfwfgaia]
y:1967 [in gaia_hydras.nfwfgaia]
y:197 [in hydras.Prelude.Iterates]
y:197 [in hydras.OrdinalNotations.ON_Generic]
y:1979 [in gaia_hydras.nfwfgaia]
y:198 [in hydras.Ackermann.folProp]
y:198 [in additions.Addition_Chains]
y:1984 [in gaia_hydras.nfwfgaia]
y:1989 [in gaia_hydras.nfwfgaia]
y:199 [in hydras.Ackermann.folProp]
y:1995 [in gaia_hydras.nfwfgaia]
y:2 [in hydras.Ackermann.LNN]
y:2 [in hydras.Ackermann.LNT]
y:20 [in hydras.Prelude.Restriction]
y:20 [in hydras.Schutte.Critical]
y:20 [in hydras.solutions_exercises.MorePRExamples]
y:2000 [in gaia_hydras.nfwfgaia]
y:201 [in hydras.Ackermann.folProp]
y:201 [in gaia_hydras.nfwfgaia]
y:202 [in additions.Euclidean_Chains]
y:205 [in hydras.Prelude.MoreLists]
y:2056 [in gaia_hydras.nfwfgaia]
y:207 [in hydras.Ackermann.folProp]
y:208 [in hydras.Ackermann.folProp]
y:209 [in hydras.Prelude.Iterates]
y:209 [in hydras.Prelude.MoreLists]
y:2091 [in gaia_hydras.nfwfgaia]
y:2093 [in gaia_hydras.nfwfgaia]
y:2097 [in gaia_hydras.nfwfgaia]
y:21 [in Goedel.PRrepresentable]
y:21 [in hydras.Prelude.DecPreOrder_Instances]
y:21 [in hydras.Ackermann.PA]
y:21 [in hydras.Prelude.MoreOrders]
y:210 [in additions.Euclidean_Chains]
y:214 [in hydras.Ackermann.folProp]
y:215 [in hydras.Ackermann.model]
y:215 [in hydras.Ackermann.folProp]
y:215 [in additions.Euclidean_Chains]
y:217 [in hydras.Ackermann.model]
y:217 [in hydras.Ackermann.folProp]
y:217 [in additions.Euclidean_Chains]
y:218 [in hydras.Ackermann.cPair]
y:219 [in hydras.Prelude.Merge_Sort]
y:22 [in hydras.Schutte.GRelations]
y:22 [in hydras.Schutte.Schutte_basics]
y:22 [in hydras.OrdinalNotations.ON_Generic]
y:220 [in hydras.Ackermann.cPair]
y:221 [in hydras.Prelude.Merge_Sort]
y:223 [in hydras.Ackermann.folProp]
y:223 [in hydras.Prelude.Merge_Sort]
y:224 [in hydras.Ackermann.folProp]
y:224 [in hydras.Ackermann.cPair]
y:224 [in hydras.Schutte.Schutte_basics]
y:225 [in hydras.Prelude.Merge_Sort]
y:226 [in hydras.Schutte.Schutte_basics]
y:227 [in hydras.Prelude.Merge_Sort]
y:228 [in hydras.Ackermann.cPair]
y:229 [in hydras.Prelude.Iterates]
y:229 [in hydras.Prelude.Merge_Sort]
y:229 [in additions.Euclidean_Chains]
y:23 [in hydras.Prelude.DecPreOrder_Instances]
y:23 [in hydras.Prelude.Restriction]
y:23 [in hydras.Schutte.Critical]
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y:231 [in hydras.Ackermann.folProp]
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y:232 [in hydras.Ackermann.cPair]
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y:24 [in hydras.Prelude.Iterates]
y:24 [in gaia_hydras.T1Bridge]
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y:240 [in hydras.Ackermann.folProp]
y:242 [in hydras.Ackermann.folProp]
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y:246 [in hydras.Ackermann.folProp]
y:246 [in additions.Addition_Chains]
y:248 [in hydras.Ackermann.folProp]
y:249 [in hydras.Ackermann.cPair]
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y:255 [in hydras.Ackermann.folProp]
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y:257 [in hydras.Ackermann.cPair]
y:259 [in hydras.Ackermann.cPair]
y:26 [in hydras.Prelude.Restriction]
y:26 [in hydras.Schutte.GRelations]
y:26 [in hydras.Ackermann.cPair]
y:26 [in hydras.Schutte.Well_Orders]
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y:261 [in hydras.Ackermann.folProp]
y:262 [in hydras.Ackermann.folProp]
y:262 [in hydras.Ackermann.cPair]
y:264 [in hydras.Ackermann.folProp]
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y:271 [in hydras.Ackermann.folProp]
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y:272 [in gaia_hydras.nfwfgaia]
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Y:277 [in additions.Euclidean_Chains]
y:277 [in gaia_hydras.nfwfgaia]
y:278 [in hydras.Ackermann.folProp]
y:28 [in hydras.Prelude.Sort_spec]
y:28 [in additions.More_on_positive]
y:28 [in hydras.Prelude.MoreOrders]
y:28 [in hydras.Ackermann.cPair]
y:28 [in hydras.Ackermann.fol]
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y:284 [in additions.Euclidean_Chains]
y:285 [in hydras.Ackermann.folProp]
y:286 [in additions.Euclidean_Chains]
y:286 [in gaia_hydras.nfwfgaia]
y:287 [in hydras.Ackermann.folProp]
y:288 [in additions.Euclidean_Chains]
y:288 [in gaia_hydras.nfwfgaia]
y:289 [in hydras.Ackermann.folProp]
y:29 [in additions.Monoid_def]
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y:291 [in hydras.Ackermann.folProp]
y:293 [in hydras.Ackermann.folProp]
y:294 [in additions.Addition_Chains]
y:295 [in hydras.Ackermann.folProp]
y:297 [in hydras.Ackermann.folProp]
y:3 [in hydras.MoreAck.AckNotPR]
y:30 [in additions.More_on_positive]
y:30 [in hydras.Schutte.GRelations]
y:30 [in hydras.Epsilon0.F_omega]
y:30 [in hydras.Ackermann.cPair]
y:30 [in hydras.Ackermann.fol]
y:303 [in hydras.Ackermann.folProp]
y:304 [in hydras.Ackermann.folProp]
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y:307 [in additions.Euclidean_Chains]
y:309 [in additions.Euclidean_Chains]
y:31 [in gaia_hydras.T1Bridge]
y:31 [in additions.Monoid_instances]
y:310 [in hydras.Ackermann.folProp]
y:311 [in hydras.Ackermann.folProp]
y:311 [in additions.Euclidean_Chains]
y:312 [in additions.Euclidean_Chains]
y:313 [in hydras.Ackermann.folProp]
y:313 [in additions.Euclidean_Chains]
y:314 [in additions.Euclidean_Chains]
y:315 [in additions.Euclidean_Chains]
y:319 [in hydras.Ackermann.folProp]
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y:32 [in hydras.Schutte.Well_Orders]
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y:325 [in additions.Euclidean_Chains]
y:326 [in hydras.Ackermann.folProp]
y:326 [in additions.Euclidean_Chains]
y:327 [in hydras.Ackermann.folProp]
y:327 [in additions.Euclidean_Chains]
y:329 [in hydras.Ackermann.folProp]
y:33 [in hydras.Prelude.MoreOrders]
y:33 [in additions.Monoid_instances]
y:331 [in gaia_hydras.nfwfgaia]
y:333 [in gaia_hydras.nfwfgaia]
y:335 [in hydras.Ackermann.folProp]
y:336 [in hydras.Ackermann.folProp]
y:34 [in hydras.Prelude.Restriction]
y:34 [in hydras.Epsilon0.F_omega]
y:34 [in gaia_hydras.T1Bridge]
y:34 [in additions.fib]
y:340 [in gaia_hydras.nfwfgaia]
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y:343 [in hydras.Ackermann.folProp]
y:344 [in gaia_hydras.nfwfgaia]
y:345 [in hydras.Ackermann.folProp]
y:346 [in gaia_hydras.nfwfgaia]
y:348 [in gaia_hydras.nfwfgaia]
y:35 [in additions.Monoid_instances]
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y:351 [in hydras.Ackermann.folProp]
y:352 [in hydras.Ackermann.folProp]
y:352 [in gaia_hydras.nfwfgaia]
y:358 [in hydras.Ackermann.folProp]
y:359 [in hydras.Ackermann.folProp]
y:36 [in hydras.Prelude.Sort_spec]
y:36 [in hydras.Epsilon0.F_omega]
y:36 [in gaia_hydras.nfwfgaia]
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y:362 [in hydras.Ackermann.primRec]
y:366 [in gaia_hydras.nfwfgaia]
y:367 [in hydras.Ackermann.folProp]
y:367 [in hydras.Ackermann.primRec]
y:368 [in hydras.Ackermann.folProp]
y:37 [in gaia_hydras.T1Bridge]
y:37 [in gaia_hydras.nfwfgaia]
y:371 [in gaia_hydras.nfwfgaia]
y:373 [in hydras.Ackermann.primRec]
y:374 [in hydras.Ackermann.folProp]
y:375 [in hydras.Ackermann.folProp]
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y:377 [in hydras.Ackermann.folProp]
y:379 [in Goedel.PRrepresentable]
Y:38 [in hydras.Schutte.Schutte_basics]
y:38 [in additions.fib]
y:380 [in hydras.Ackermann.primRec]
y:381 [in Goedel.PRrepresentable]
y:383 [in Goedel.PRrepresentable]
y:383 [in hydras.Ackermann.folProp]
y:384 [in hydras.Ackermann.folProp]
y:384 [in hydras.Ackermann.primRec]
y:390 [in hydras.Ackermann.folProp]
y:390 [in hydras.Ackermann.primRec]
y:391 [in hydras.Ackermann.folProp]
y:397 [in hydras.Ackermann.primRec]
y:4 [in Goedel.PRrepresentable]
y:4 [in hydras.Ackermann.PAconsistent]
y:4 [in hydras.Ackermann.LNN]
y:4 [in hydras.Ackermann.LNT]
y:40 [in hydras.Prelude.Restriction]
y:40 [in gaia_hydras.nfwfgaia]
y:404 [in hydras.Ackermann.primRec]
y:41 [in hydras.OrdinalNotations.ON_Generic]
y:412 [in hydras.Epsilon0.T1]
y:412 [in hydras.Ackermann.primRec]
y:416 [in hydras.Ackermann.primRec]
y:42 [in additions.Compatibility]
y:429 [in hydras.Ackermann.primRec]
y:435 [in hydras.Ackermann.primRec]
y:439 [in hydras.Gamma0.Gamma0]
y:441 [in hydras.Gamma0.Gamma0]
y:443 [in hydras.Ackermann.primRec]
y:444 [in hydras.Gamma0.Gamma0]
y:449 [in hydras.Gamma0.Gamma0]
y:45 [in hydras.Prelude.Sort_spec]
y:45 [in hydras.OrdinalNotations.ON_Generic]
y:451 [in hydras.Ackermann.primRec]
y:456 [in hydras.Ackermann.primRec]
y:464 [in hydras.Ackermann.primRec]
y:469 [in hydras.Ackermann.primRec]
y:473 [in hydras.Ackermann.primRec]
y:477 [in hydras.Ackermann.primRec]
y:48 [in gaia_hydras.T1Bridge]
Y:48 [in hydras.Schutte.Well_Orders]
y:485 [in hydras.Ackermann.primRec]
y:49 [in additions.AM]
y:490 [in hydras.Ackermann.primRec]
y:495 [in hydras.Ackermann.primRec]
y:5 [in gaia_hydras.onType]
y:5 [in hydras.MoreAck.PrimRecExamples]
y:500 [in hydras.Ackermann.primRec]
y:504 [in hydras.Ackermann.primRec]
y:510 [in gaia_hydras.nfwfgaia]
y:517 [in gaia_hydras.nfwfgaia]
y:522 [in gaia_hydras.nfwfgaia]
y:552 [in gaia_hydras.nfwfgaia]
y:555 [in gaia_hydras.nfwfgaia]
y:579 [in gaia_hydras.nfwfgaia]
y:58 [in hydras.MoreAck.PrimRecExamples]
y:581 [in gaia_hydras.nfwfgaia]
y:585 [in gaia_hydras.nfwfgaia]
y:59 [in hydras.Ackermann.cPair]
y:6 [in hydras.solutions_exercises.MinPR2]
y:6 [in hydras.Ackermann.PAconsistent]
y:6 [in additions.Compatibility]
y:6 [in hydras.MoreAck.AckNotPR]
y:6 [in additions.Euclidean_Chains]
y:6 [in hydras.Prelude.STDPP_compat]
y:6 [in additions.Addition_Chains]
y:6 [in hydras.rpo.closure]
y:60 [in hydras.MoreAck.AckNotPR]
y:60 [in hydras.Schutte.PartialFun]
y:60 [in hydras.OrdinalNotations.ON_Generic]
y:609 [in hydras.Gamma0.Gamma0]
y:61 [in hydras.Ackermann.fol]
y:610 [in hydras.Gamma0.Gamma0]
y:613 [in gaia_hydras.nfwfgaia]
y:62 [in hydras.Schutte.Critical]
y:62 [in hydras.MoreAck.PrimRecExamples]
y:622 [in gaia_hydras.nfwfgaia]
y:624 [in gaia_hydras.nfwfgaia]
y:63 [in hydras.MoreAck.AckNotPR]
y:637 [in gaia_hydras.nfwfgaia]
y:645 [in gaia_hydras.nfwfgaia]
y:648 [in gaia_hydras.nfwfgaia]
y:65 [in hydras.Ackermann.cPair]
y:65 [in gaia_hydras.nfwfgaia]
y:66 [in hydras.Epsilon0.Epsilon0rpo]
y:662 [in hydras.Ackermann.primRec]
y:669 [in gaia_hydras.nfwfgaia]
y:67 [in hydras.Ackermann.cPair]
y:676 [in hydras.Ackermann.primRec]
y:68 [in additions.AM]
y:68 [in hydras.Epsilon0.Epsilon0rpo]
y:68 [in additions.Monoid_def]
y:682 [in gaia_hydras.nfwfgaia]
y:69 [in hydras.Ackermann.cPair]
y:7 [in Goedel.PRrepresentable]
y:7 [in hydras.Prelude.DecPreOrder_Instances]
y:7 [in hydras.Prelude.More_Arith]
y:7 [in hydras.Ackermann.LNN]
y:7 [in hydras.Prelude.MoreOrders]
y:700 [in gaia_hydras.nfwfgaia]
y:707 [in hydras.Gamma0.Gamma0]
y:709 [in hydras.Gamma0.Gamma0]
y:71 [in hydras.Ackermann.cPair]
y:710 [in gaia_hydras.nfwfgaia]
y:72 [in hydras.Epsilon0.Epsilon0rpo]
y:729 [in hydras.Epsilon0.T1]
y:73 [in hydras.Ackermann.cPair]
y:75 [in hydras.Ackermann.folProp]
y:75 [in hydras.Ackermann.cPair]
y:76 [in hydras.Epsilon0.Epsilon0rpo]
y:76 [in additions.Monoid_def]
y:76 [in hydras.Schutte.PartialFun]
y:77 [in hydras.Ackermann.cPair]
y:772 [in gaia_hydras.nfwfgaia]
y:775 [in gaia_hydras.nfwfgaia]
y:78 [in hydras.Ackermann.folProp]
y:79 [in hydras.Ackermann.cPair]
y:79 [in hydras.Schutte.PartialFun]
y:8 [in hydras.Ackermann.LNT]
y:8 [in hydras.solutions_exercises.MorePRExamples]
y:8 [in hydras.Ackermann.cPair]
y:8 [in hydras.rpo.closure]
y:81 [in hydras.Ackermann.folProp]
y:81 [in hydras.MoreAck.PrimRecExamples]
y:817 [in gaia_hydras.nfwfgaia]
y:82 [in hydras.MoreAck.AckNotPR]
y:820 [in gaia_hydras.nfwfgaia]
y:824 [in gaia_hydras.nfwfgaia]
y:827 [in gaia_hydras.nfwfgaia]
y:832 [in gaia_hydras.nfwfgaia]
y:838 [in gaia_hydras.nfwfgaia]
y:84 [in hydras.Ackermann.folProp]
y:84 [in additions.Euclidean_Chains]
y:84 [in gaia_hydras.nfwfgaia]
y:85 [in additions.Euclidean_Chains]
y:86 [in hydras.Ackermann.cPair]
y:87 [in hydras.Ackermann.folProp]
y:87 [in hydras.MoreAck.AckNotPR]
y:87 [in hydras.MoreAck.PrimRecExamples]
y:876 [in gaia_hydras.nfwfgaia]
y:88 [in hydras.Ackermann.cPair]
y:884 [in gaia_hydras.nfwfgaia]
y:888 [in gaia_hydras.nfwfgaia]
y:890 [in gaia_hydras.nfwfgaia]
y:893 [in gaia_hydras.nfwfgaia]
y:9 [in hydras.Prelude.WfVariant]
y:9 [in hydras.Ackermann.LNN]
y:9 [in additions.Wf_transparent]
y:9 [in hydras.Prelude.MoreOrders]
y:90 [in hydras.Ackermann.cPair]
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y:92 [in hydras.Ackermann.cPair]
y:92 [in gaia_hydras.nfwfgaia]
y:93 [in gaia_hydras.nfwfgaia]
y:94 [in hydras.Ackermann.cPair]
y:94 [in hydras.Schutte.Ordering_Functions]
y:95 [in additions.Euclidean_Chains]
y:95 [in hydras.Schutte.Ordering_Functions]
y:96 [in hydras.Ackermann.cPair]
y:96 [in hydras.Schutte.Ordering_Functions]
y:96 [in gaia_hydras.nfwfgaia]
y:97 [in hydras.Ackermann.folProp]
y:97 [in hydras.Ackermann.cPair]
y:97 [in hydras.Schutte.Ordering_Functions]
y:97 [in hydras.MoreAck.PrimRecExamples]
y:98 [in hydras.Ackermann.cPair]
y:98 [in additions.Addition_Chains]
y:98 [in hydras.Prelude.MoreVectors]
y:983 [in gaia_hydras.nfwfgaia]
y:99 [in additions.Pow_variant]
y:99 [in hydras.Schutte.Ordering_Functions]

Z

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z':2102 [in gaia_hydras.nfwfgaia]
z':580 [in gaia_hydras.nfwfgaia]
z':590 [in gaia_hydras.nfwfgaia]
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z:184 [in hydras.Ackermann.cPair]
z:185 [in hydras.Ackermann.cPair]
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z:1940 [in gaia_hydras.nfwfgaia]
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z:1962 [in gaia_hydras.nfwfgaia]
z:1973 [in gaia_hydras.nfwfgaia]
z:1990 [in gaia_hydras.nfwfgaia]
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z:2087 [in gaia_hydras.nfwfgaia]
z:2090 [in gaia_hydras.nfwfgaia]
z:2101 [in gaia_hydras.nfwfgaia]
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z:231 [in hydras.Schutte.Schutte_basics]
z:257 [in additions.Euclidean_Chains]
z:26 [in gaia_hydras.onType]
z:261 [in additions.Euclidean_Chains]
z:265 [in additions.Euclidean_Chains]
z:269 [in additions.Euclidean_Chains]
z:27 [in Goedel.PRrepresentable]
z:27 [in hydras.Schutte.Well_Orders]
z:276 [in Goedel.PRrepresentable]
z:283 [in additions.Euclidean_Chains]
z:285 [in additions.Euclidean_Chains]
z:287 [in additions.Euclidean_Chains]
z:289 [in additions.Euclidean_Chains]
z:30 [in additions.Monoid_def]
z:30 [in hydras.Schutte.Well_Orders]
z:341 [in Goedel.PRrepresentable]
z:343 [in Goedel.PRrepresentable]
z:346 [in Goedel.PRrepresentable]
z:347 [in Goedel.PRrepresentable]
z:348 [in Goedel.PRrepresentable]
z:349 [in Goedel.PRrepresentable]
z:35 [in gaia_hydras.nfwfgaia]
z:36 [in hydras.Prelude.MoreOrders]
z:36 [in additions.Monoid_instances]
z:366 [in Goedel.PRrepresentable]
z:367 [in Goedel.PRrepresentable]
z:368 [in Goedel.PRrepresentable]
z:369 [in Goedel.PRrepresentable]
z:372 [in Goedel.PRrepresentable]
z:373 [in Goedel.PRrepresentable]
z:374 [in Goedel.PRrepresentable]
z:375 [in Goedel.PRrepresentable]
z:38 [in gaia_hydras.T1Bridge]
z:385 [in hydras.Ackermann.primRec]
z:391 [in hydras.Ackermann.primRec]
z:398 [in hydras.Ackermann.primRec]
z:402 [in gaia_hydras.nfwfgaia]
z:403 [in gaia_hydras.nfwfgaia]
z:404 [in gaia_hydras.nfwfgaia]
z:405 [in hydras.Ackermann.primRec]
z:405 [in gaia_hydras.nfwfgaia]
z:406 [in gaia_hydras.nfwfgaia]
z:413 [in hydras.Ackermann.primRec]
z:417 [in gaia_hydras.nfwfgaia]
z:418 [in gaia_hydras.nfwfgaia]
z:419 [in gaia_hydras.nfwfgaia]
z:420 [in gaia_hydras.nfwfgaia]
z:421 [in gaia_hydras.nfwfgaia]
Z:43 [in hydras.Ackermann.code]
z:43 [in hydras.Ackermann.fol]
z:454 [in gaia_hydras.nfwfgaia]
z:455 [in gaia_hydras.nfwfgaia]
z:456 [in gaia_hydras.nfwfgaia]
z:46 [in hydras.Ackermann.fol]
z:49 [in hydras.Ackermann.fol]
z:5 [in Goedel.PRrepresentable]
z:511 [in gaia_hydras.nfwfgaia]
z:512 [in gaia_hydras.nfwfgaia]
z:513 [in gaia_hydras.nfwfgaia]
z:52 [in hydras.Ackermann.fol]
z:57 [in hydras.Schutte.Schutte_basics]
z:578 [in gaia_hydras.nfwfgaia]
z:58 [in hydras.Schutte.Schutte_basics]
z:589 [in gaia_hydras.nfwfgaia]
z:62 [in gaia_hydras.nfwfgaia]
z:625 [in gaia_hydras.nfwfgaia]
z:63 [in hydras.MoreAck.PrimRecExamples]
z:631 [in gaia_hydras.nfwfgaia]
z:632 [in gaia_hydras.nfwfgaia]
z:633 [in gaia_hydras.nfwfgaia]
z:634 [in gaia_hydras.nfwfgaia]
z:635 [in gaia_hydras.nfwfgaia]
z:638 [in gaia_hydras.nfwfgaia]
z:639 [in gaia_hydras.nfwfgaia]
z:640 [in gaia_hydras.nfwfgaia]
z:641 [in gaia_hydras.nfwfgaia]
z:642 [in gaia_hydras.nfwfgaia]
z:643 [in gaia_hydras.nfwfgaia]
z:646 [in gaia_hydras.nfwfgaia]
z:649 [in gaia_hydras.nfwfgaia]
z:7 [in hydras.MoreAck.AckNotPR]
z:7 [in additions.Euclidean_Chains]
z:7 [in hydras.Prelude.STDPP_compat]
z:730 [in hydras.Epsilon0.T1]
z:741 [in gaia_hydras.nfwfgaia]
z:742 [in gaia_hydras.nfwfgaia]
z:743 [in gaia_hydras.nfwfgaia]
z:744 [in gaia_hydras.nfwfgaia]
z:796 [in gaia_hydras.nfwfgaia]
z:798 [in gaia_hydras.nfwfgaia]
z:8 [in Goedel.PRrepresentable]
z:8 [in additions.Addition_Chains]
z:801 [in gaia_hydras.nfwfgaia]
z:804 [in gaia_hydras.nfwfgaia]
z:808 [in gaia_hydras.nfwfgaia]
z:812 [in gaia_hydras.nfwfgaia]
z:818 [in gaia_hydras.nfwfgaia]
z:821 [in gaia_hydras.nfwfgaia]
z:825 [in gaia_hydras.nfwfgaia]
z:828 [in gaia_hydras.nfwfgaia]
z:833 [in gaia_hydras.nfwfgaia]
z:86 [in hydras.Ackermann.fol]
z:88 [in hydras.Ackermann.fol]
z:9 [in hydras.rpo.closure]
z:91 [in hydras.Prelude.Iterates]
z:91 [in gaia_hydras.nfwfgaia]
z:94 [in hydras.Epsilon0.Large_Sets]
z:96 [in hydras.Schutte.Schutte_basics]
z:97 [in hydras.Prelude.Iterates]
z:97 [in hydras.Epsilon0.Large_Sets]
z:97 [in hydras.Schutte.Schutte_basics]
z:98 [in hydras.Epsilon0.Large_Sets]
z:98 [in hydras.Ackermann.fol]
z:98 [in hydras.MoreAck.PrimRecExamples]
z:99 [in hydras.Epsilon0.Large_Sets]
z:99 [in hydras.Ackermann.fol]
z:99 [in additions.Addition_Chains]

---

Module Index

A

Ackermann [in gaia_hydras.nfwfgaia]
Alt [in hydras.Epsilon0.Epsilon0rpo]
Alt [in hydras.MoreAck.Ack]
Alt [in additions.Demo]
Alt [in hydras.MoreAck.PrimRecExamples]
Alt [in hydras.Hydra.Hydra_Definitions]
Alt.Eps0_rpo [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_alg [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig [in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars [in hydras.Epsilon0.Epsilon0rpo]
Alt2 [in hydras.MoreAck.Ack]
Alt3 [in hydras.MoreAck.Ack]

B

Bad [in additions.FirstSteps]
Bad [in hydras.Hydra.Hydra_Examples]
Bad [in additions.Euclidean_Chains]
Bad [in additions.Monoid_instances]
BadSubst [in hydras.MoreAck.BadSubst]
BadSubstF2 [in hydras.MoreAck.BadSubst]
Bad2 [in additions.Euclidean_Chains]
Bad3 [in additions.Euclidean_Chains]
Bad4 [in additions.Euclidean_Chains]

C

CantorOrdinal [in gaia_hydras.nfwfgaia]
Compat815 [in hydras.Prelude.Compat815]

D

Demo [in additions.Monoid_def]
Direct_proof [in hydras.Epsilon0.T1]

E

Examples [in hydras.Hydra.Hydra_Examples]
Examples [in hydras.Ackermann.primRec]
Examples [in additions.Euclidean_Chains]

F

FixpointDef [in gaia_hydras.GHessenberg]
FolNotations [in hydras.Ackermann.fol]

G

Gamma0 [in gaia_hydras.nfwfgaia]
Gamma0_rpo [in hydras.Gamma0.Gamma0]
Gamma0_alg [in hydras.Gamma0.Gamma0]
Gamma0_prec [in hydras.Gamma0.Gamma0]
Gamma0_sig [in hydras.Gamma0.Gamma0]
G0 [in hydras.Gamma0.Gamma0]

I

iota_demo.Bad [in hydras.Schutte.Schutte_basics]
iota_demo [in hydras.Schutte.Schutte_basics]

L

LispAbbreviations [in hydras.Ackermann.cPair]
LNT [in hydras.Ackermann.LNT]
LO [in hydras.OrdinalNotations.OmegaOmega]

M

Make [in hydras.rpo.term]
Make [in hydras.rpo.list_set]
Make [in hydras.rpo.dickson]
Make [in hydras.rpo.list_permut]
Make [in hydras.rpo.rpo]
Make.DecVar [in hydras.rpo.term]
Make.DS [in hydras.rpo.list_set]
Make.DS [in hydras.rpo.dickson]
Make.DS [in hydras.rpo.list_permut]
Make.F [in hydras.rpo.term]
Make.LP [in hydras.rpo.list_set]
Make.LP [in hydras.rpo.dickson]
Make.LP [in hydras.rpo.rpo]
Make.P [in hydras.rpo.rpo]
Make.T [in hydras.rpo.rpo]
Make.Term_eq_dec [in hydras.rpo.term]
Make.VSet [in hydras.rpo.term]
Make.X [in hydras.rpo.term]
MoreExamples [in hydras.MoreAck.PrimRecExamples]
M2 [in additions.FirstSteps]
M2 [in additions.Naive]

N

NNnotations [in hydras.Ackermann.LNN]
N_mod [in additions.Naive]

O

ONDef [in gaia_hydras.onType]
ONDef.Exports [in gaia_hydras.onType]
OO [in hydras.OrdinalNotations.OmegaOmega]
OpaqueWf [in hydras.Prelude.Fuel]

P

Permut [in hydras.rpo.list_permut]
Permut.DS [in hydras.rpo.list_permut]
Precedence [in hydras.rpo.rpo]
PRNotations [in hydras.Ackermann.primRec]

R

RPO [in hydras.rpo.rpo]
RPO.LP [in hydras.rpo.rpo]
RPO.P [in hydras.rpo.rpo]
RPO.T [in hydras.rpo.rpo]

S

S [in hydras.rpo.decidable_set]
S [in hydras.rpo.list_set]
Semibundled [in hydras.Prelude.DecPreOrder]
Signature [in hydras.rpo.term]
S.DS [in hydras.rpo.list_set]

T

Term [in hydras.rpo.term]
Term.F [in hydras.rpo.term]
Term.Term_eq_dec [in hydras.rpo.term]
Term.X [in hydras.rpo.term]
Toy [in hydras.MoreAck.FolExamples]

U

Usual [in Goedel.PRrepresentable]

V

Variables [in hydras.rpo.term]
Vars [in hydras.Gamma0.Gamma0]

W

Wfsum [in gaia_hydras.nfwfgaia]
Wf_ex3 [in gaia_hydras.nfwfgaia]
Wf_ex [in gaia_hydras.nfwfgaia]

Z

Z [in additions.Naive]

---

Variable Index

A

Abstract_Properties.alpha [in hydras.Epsilon0.Hprime]
AB_given.rel_to_fun.Rf [in hydras.Schutte.PartialFun]
AB_given.f_given.Rf [in hydras.Schutte.PartialFun]
AB_given.f_given.f [in hydras.Schutte.PartialFun]
AB_given.DB [in hydras.Schutte.PartialFun]
AB_given.DA [in hydras.Schutte.PartialFun]
AB_given.Hb [in hydras.Schutte.PartialFun]
AB_given.Ha [in hydras.Schutte.PartialFun]
AB_given.B [in hydras.Schutte.PartialFun]
AB_given.A [in hydras.Schutte.PartialFun]
Ack_Properties.Induc_step.Hm [in hydras.MoreAck.Ack]
Ack_Properties.Induc_step.m [in hydras.MoreAck.Ack]
Ack_Properties.P [in hydras.MoreAck.Ack]
Alt.well_founded.R [in hydras.Epsilon0.Epsilon0rpo]
AP_closed.denM [in hydras.Schutte.AP]
AP_closed.inhM [in hydras.Schutte.AP]
AP_closed.OM [in hydras.Schutte.AP]
AP_closed.M [in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.n [in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.lt_ksi [in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed.ksi [in hydras.Schutte.AP]
AP_Unbounded.beta [in hydras.Schutte.AP]
AP_Unbounded.seq [in hydras.Schutte.AP]
AP_Unbounded.alpha [in hydras.Schutte.AP]
A_def.m [in hydras.OrdinalNotations.ON_Omega2]
A_given.LtA [in hydras.solutions_exercises.MultisetWf]
A_given.A [in hydras.solutions_exercises.MultisetWf]

B

BadExample.F [in hydras.MoreAck.BadSubst]
BadExample.F1 [in hydras.MoreAck.BadSubst]
Bad.CounterExample.mul [in additions.FirstSteps]
Bad.CounterExample.one [in additions.FirstSteps]
battle_length_notPR.m [in hydras.Hydra.Hydra_Theorems]
battle_length_notPR.h [in hydras.Hydra.Hydra_Theorems]
battle_length_notPR.alpha [in hydras.Hydra.Hydra_Theorems]
Battle_length.l [in hydras.Hydra.Battle_length]
Battle_length.Hk [in hydras.Hydra.Battle_length]
Battle_length.k [in hydras.Hydra.Battle_length]
Battle_length.Halpha [in hydras.Hydra.Battle_length]
Battle_length.alpha [in hydras.Hydra.Battle_length]
binary_power_proof.E_eq [in additions.Addition_Chains]
binary_power_proof.E_one [in additions.Addition_Chains]
binary_power_proof.E_op [in additions.Addition_Chains]
binary_power_proof.A [in additions.Addition_Chains]
Bounded.m_decrease [in hydras.Hydra.Epsilon0_Needed_Generic]
building_ordering_function_by_induction.B [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.g_1 [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed.beta_B [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed.beta [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.H_B [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.B [in hydras.Schutte.Ordering_Functions]

C

Check_Proof.Prf [in hydras.Ackermann.checkPrf]
Check_Proof.wellFormedFormula [in hydras.Ackermann.checkPrf]
Check_Proof.wellFormedTerm [in hydras.Ackermann.checkPrf]
Check_Proof.Formula [in hydras.Ackermann.checkPrf]
Check_Proof.Terms [in hydras.Ackermann.checkPrf]
Check_Proof.Term [in hydras.Ackermann.checkPrf]
Check_Proof.codeRInj [in hydras.Ackermann.checkPrf]
Check_Proof.codeFInj [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityRIsCorrect2 [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityRIsCorrect1 [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityFIsCorrect2 [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityFIsCorrect1 [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityR [in hydras.Ackermann.checkPrf]
Check_Proof.codeArityF [in hydras.Ackermann.checkPrf]
Check_Proof.L [in hydras.Ackermann.checkPrf]
close.codeFormula [in hydras.Ackermann.codePA]
close.Formula [in hydras.Ackermann.codePA]
close.L [in hydras.Ackermann.codePA]
Code_Free_Vars.Terms [in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Term [in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.System [in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Formulas [in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.Formula [in hydras.Ackermann.codeFreeVar]
Code_Free_Vars.L [in hydras.Ackermann.codeFreeVar]
Code_Substitute_Term.Terms [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Term [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.System [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Formulas [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.Formula [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Term.L [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Formula.codeTerm [in hydras.Ackermann.codeSubFormula]
Code_Substitute_Formula.codeFormula [in hydras.Ackermann.codeSubFormula]
Code_Substitute_Formula.L [in hydras.Ackermann.codeSubFormula]
Code_Term_Formula_Proof.SysPrf [in hydras.Ackermann.code]
Code_Term_Formula_Proof.Prf [in hydras.Ackermann.code]
Code_Term_Formula_Proof.Terms [in hydras.Ackermann.code]
Code_Term_Formula_Proof.Term [in hydras.Ackermann.code]
Code_Term_Formula_Proof.System [in hydras.Ackermann.code]
Code_Term_Formula_Proof.Formulas [in hydras.Ackermann.code]
Code_Term_Formula_Proof.Formula [in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef.cR [in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef.cF [in hydras.Ackermann.code]
Code_Term_Formula_Proof.L [in hydras.Ackermann.code]
code_nat_list.drop [in hydras.Ackermann.cPair]
code_SysPrf.LNN.expressU2 [in Goedel.codeSysPrf]
code_SysPrf.LNN.expressU1 [in Goedel.codeSysPrf]
code_SysPrf.LNN.freeVarfU [in Goedel.codeSysPrf]
code_SysPrf.LNN.v0 [in Goedel.codeSysPrf]
code_SysPrf.LNN.fU [in Goedel.codeSysPrf]
code_SysPrf.LNN.U [in Goedel.codeSysPrf]
code_SysPrf.LNN.TextendsNN [in Goedel.codeSysPrf]
code_SysPrf.LNN.T [in Goedel.codeSysPrf]
code_SysPrf.codeArityRIsCorrect2 [in Goedel.codeSysPrf]
code_SysPrf.codeArityRIsCorrect1 [in Goedel.codeSysPrf]
code_SysPrf.codeArityFIsCorrect2 [in Goedel.codeSysPrf]
code_SysPrf.codeArityFIsCorrect1 [in Goedel.codeSysPrf]
code_SysPrf.codeArityR [in Goedel.codeSysPrf]
code_SysPrf.codeArityF [in Goedel.codeSysPrf]
code_SysPrf.L [in Goedel.codeSysPrf]
Code_PA.codeFormulaInj [in hydras.Ackermann.codePA]
Code_PA.codeFormula [in hydras.Ackermann.codePA]
Code_PA.codeTerm [in hydras.Ackermann.codePA]
compose2Examples.f [in hydras.MoreAck.PrimRecExamples]
compose2Examples.f' [in hydras.MoreAck.PrimRecExamples]
compose2Examples.g [in hydras.MoreAck.PrimRecExamples]
compose2Examples.g' [in hydras.MoreAck.PrimRecExamples]
compose2Examples.h [in hydras.MoreAck.PrimRecExamples]
CompositionProofs.App.cn [in additions.AM]
CompositionProofs.App.cp [in additions.AM]
CompositionProofs.App.Hn [in additions.AM]
CompositionProofs.App.Hp [in additions.AM]
CompositionProofs.App.n [in additions.AM]
CompositionProofs.App.p [in additions.AM]
CompositionProofs.FFK.cp [in additions.AM]
CompositionProofs.FFK.cq [in additions.AM]
CompositionProofs.FFK.Hp [in additions.AM]
CompositionProofs.FFK.Hq [in additions.AM]
CompositionProofs.FFK.p [in additions.AM]
CompositionProofs.FFK.q [in additions.AM]
CompositionProofs.FK.cn [in additions.AM]
CompositionProofs.FK.Hn [in additions.AM]
CompositionProofs.FK.n [in additions.AM]
CompositionProofs.KFK.Hpr [in additions.AM]
CompositionProofs.KFK.Hq [in additions.AM]
CompositionProofs.KFK.kpr [in additions.AM]
CompositionProofs.KFK.mq [in additions.AM]
CompositionProofs.KFK.p [in additions.AM]
CompositionProofs.KFK.q [in additions.AM]
CompositionProofs.KFK.r [in additions.AM]
Composition.f [in hydras.MoreAck.PrimRecExamples]
Composition.g [in hydras.MoreAck.PrimRecExamples]
Composition.h [in hydras.MoreAck.PrimRecExamples]
Composition.k [in hydras.MoreAck.PrimRecExamples]
Composition.t [in hydras.MoreAck.PrimRecExamples]
Composition.u [in hydras.MoreAck.PrimRecExamples]
Composition.v [in hydras.MoreAck.PrimRecExamples]
Composition.x [in hydras.MoreAck.PrimRecExamples]
Composition.y [in hydras.MoreAck.PrimRecExamples]
Composition.z [in hydras.MoreAck.PrimRecExamples]
Constant_to_standard_Proof.delta [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.m [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.gamma [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.l [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.l_def [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.P [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.t [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Hpa [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Hpos [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.Halpha [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.n [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.beta [in hydras.Epsilon0.Paths]
Constant_to_standard_Proof.alpha [in hydras.Epsilon0.Paths]
Correctness.L [in hydras.Ackermann.fol]
Correctness.P [in hydras.Ackermann.fol]
Correctness.Q [in hydras.Ackermann.fol]
Correctness.R [in hydras.Ackermann.fol]
Countable.Countable_bijection.g_bij [in hydras.Schutte.Countable]
Countable.Countable_bijection.g [in hydras.Schutte.Countable]
Countable.Countable_bijection.B [in hydras.Schutte.Countable]
Countable.Countable_bijection.A [in hydras.Schutte.Countable]
Countable.Countable_bijection.V [in hydras.Schutte.Countable]
Countable.Definitions.A [in hydras.Schutte.Countable]
Countable.Definitions.U [in hydras.Schutte.Countable]
Countable.U [in hydras.Schutte.Countable]
Counter_Example.is_in_seq [in hydras.solutions_exercises.MultisetWf]
Counter_Example.Hwf [in hydras.solutions_exercises.MultisetWf]
Counter_Example.R [in hydras.solutions_exercises.MultisetWf]
CPair_projections.searchXY [in hydras.Ackermann.cPair]
Cter_example.l [in hydras.solutions_exercises.schutte_cnf_counter_example]
Cter_example.alpha [in hydras.solutions_exercises.schutte_cnf_counter_example]
Cter_example.cnf_lt_epsilon0_iff [in hydras.solutions_exercises.schutte_cnf_counter_example]

D

Deduction_Theorem.list_incl [in hydras.Ackermann.Deduction]
Deduction_Theorem.SysPrf [in hydras.Ackermann.Deduction]
Deduction_Theorem.Prf [in hydras.Ackermann.Deduction]
Deduction_Theorem.Terms [in hydras.Ackermann.Deduction]
Deduction_Theorem.Term [in hydras.Ackermann.Deduction]
Deduction_Theorem.System [in hydras.Ackermann.Deduction]
Deduction_Theorem.Formulas [in hydras.Ackermann.Deduction]
Deduction_Theorem.Formula [in hydras.Ackermann.Deduction]
Deduction_Theorem.L [in hydras.Ackermann.Deduction]
Definitions.A [in additions.FirstSteps]
Definitions.A [in hydras.Prelude.Simple_LexProd]
Definitions.B [in hydras.Prelude.Simple_LexProd]
Definitions.ltA [in hydras.Prelude.Simple_LexProd]
Definitions.ltB [in hydras.Prelude.Simple_LexProd]
Definitions.mult [in additions.FirstSteps]
Definitions.one [in additions.FirstSteps]
Definitions.pair2sig [in hydras.Prelude.Simple_LexProd]
Definitions.wfA [in hydras.Prelude.Simple_LexProd]
Definitions.wfB [in hydras.Prelude.Simple_LexProd]
Defs.A [in hydras.Prelude.MoreOrders]
Defs.lt [in hydras.Prelude.MoreOrders]
depth_rec_demo.a [in hydras.MoreAck.FolExamples]
depth_rec_demo.P [in hydras.MoreAck.FolExamples]
depth_rec_demo.L [in hydras.MoreAck.FolExamples]
Direct_proof.well_foundedness_proof.Acc_strong [in hydras.Epsilon0.T1]
dom_AckNotPR.Hf [in hydras.MoreAck.AckNotPR]
dom_AckNotPR.f [in hydras.MoreAck.AckNotPR]
DS_iota.Proof_case_6.Hn [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.n [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.gamma_pos [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.Hgamma [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.Hbeta [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.gamma [in hydras.Hydra.O2H]
DS_iota.Proof_case_6.beta [in hydras.Hydra.O2H]
DS_iota.Proof_case_5.Hn [in hydras.Hydra.O2H]
DS_iota.Proof_case_5.n [in hydras.Hydra.O2H]
DS_iota.Proof_case_5.Hgamma [in hydras.Hydra.O2H]
DS_iota.Proof_case_5.gamma [in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hn [in hydras.Hydra.O2H]
DS_iota.Proof_case_4.n [in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hlim [in hydras.Hydra.O2H]
DS_iota.Proof_case_4.Hlambda [in hydras.Hydra.O2H]
DS_iota.Proof_case_4.lambda [in hydras.Hydra.O2H]
DS_iota.Hrec [in hydras.Hydra.O2H]
DS_iota.nonzero [in hydras.Hydra.O2H]
DS_iota.Halpha [in hydras.Hydra.O2H]
DS_iota.i [in hydras.Hydra.O2H]
DS_iota.alpha [in hydras.Hydra.O2H]

E

Equality_Logic_Rules.termsMap [in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.SysPrf [in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.Prf [in hydras.Ackermann.folLogic3]
Equality_Logic_Rules.L [in hydras.Ackermann.folLogic3]
Equations_for_addition.case3.Hac [in hydras.Schutte.Correctness_E0]
Equations_for_addition.case2.Hac [in hydras.Schutte.Correctness_E0]
Equations_for_addition.case1.Hac [in hydras.Schutte.Correctness_E0]
Equations_for_addition.beta [in hydras.Schutte.Correctness_E0]
Equations_for_addition.alpha [in hydras.Schutte.Correctness_E0]
Equations_for_addition.Hnfc [in hydras.Schutte.Correctness_E0]
Equations_for_addition.Hnfa [in hydras.Schutte.Correctness_E0]
Equations_for_addition.p [in hydras.Schutte.Correctness_E0]
Equations_for_addition.n [in hydras.Schutte.Correctness_E0]
Equations_for_addition.d [in hydras.Schutte.Correctness_E0]
Equations_for_addition.c [in hydras.Schutte.Correctness_E0]
Equations_for_addition.b [in hydras.Schutte.Correctness_E0]
Equations_for_addition.a [in hydras.Schutte.Correctness_E0]
Equivalence.A [in additions.Compatibility]
Equivalence.is_power_of [in additions.Compatibility]
Equivalence.one [in additions.Compatibility]
Equivalence.op [in additions.Compatibility]
Equivalence.pos_iter_M [in additions.Compatibility]
essai.n [in hydras.Epsilon0.T1]
Examples.f [in hydras.Ackermann.LNT]
Examples.f1 [in hydras.MoreAck.LNN_Examples]
Examples.f2 [in hydras.MoreAck.LNN_Examples]
Examples.f2' [in hydras.MoreAck.LNN_Examples]
Examples.f3 [in hydras.MoreAck.LNN_Examples]
Examples.f4 [in hydras.MoreAck.LNN_Examples]
Examples.t1 [in hydras.MoreAck.LNN_Examples]
Exs.f [in hydras.MoreAck.PrimRecExamples]
Exs.fdiv2 [in hydras.MoreAck.PrimRecExamples]
Exs.ffib [in hydras.MoreAck.PrimRecExamples]

F

First_Order_Logic.Formula_Decidability.consTermsHelp [in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability.nilTermsHelp [in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability.language_eqdec [in hydras.Ackermann.fol]
First_Order_Logic.L [in hydras.Ackermann.fol]
Fix.A [in hydras.Prelude.Restriction]
Fix.E [in hydras.Prelude.Restriction]
Fix.F [in hydras.Prelude.Restriction]
Fix.Hwf [in hydras.Prelude.Restriction]
Fix.P [in hydras.Prelude.Restriction]
Fix.R [in hydras.Prelude.Restriction]
Fix.Rwf [in hydras.Prelude.Restriction]
Fol_Properties.lt_depth [in hydras.Ackermann.folProp]
Fol_Properties.L [in hydras.Ackermann.folProp]
F_monotony_l.case_lt.Hd [in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt.Hlt [in hydras.Epsilon0.F_alpha]
F_monotony_l.case_lt.n [in hydras.Epsilon0.F_alpha]
F_monotony_l.case_eq.Heq [in hydras.Epsilon0.F_alpha]
F_monotony_l.H'_beta_alpha [in hydras.Epsilon0.F_alpha]
F_monotony_l.beta [in hydras.Epsilon0.F_alpha]
F_monotony_l.alpha [in hydras.Epsilon0.F_alpha]
F_alpha_notPR.H [in hydras.Epsilon0.F_omega]
F_alpha_notPR.case_lt.Halpha [in hydras.Epsilon0.F_omega]
F_alpha_notPR.alpha [in hydras.Epsilon0.F_omega]

G

Gamma.All_OK.c [in additions.AM]
Gamma.All_OK.n [in additions.AM]
Gamma.gamma [in additions.AM]
Gamma.gamma [in additions.Euclidean_Chains]
General_Relations.elagage.to_nat_elagage.R [in hydras.Schutte.GRelations]
General_Relations.surjection2injection.R_surj [in hydras.Schutte.GRelations]
General_Relations.surjection2injection.R [in hydras.Schutte.GRelations]
General_Relations.injection2surjection.R_inj [in hydras.Schutte.GRelations]
General_Relations.injection2surjection.R [in hydras.Schutte.GRelations]
General_Relations.DB [in hydras.Schutte.GRelations]
General_Relations.DA [in hydras.Schutte.GRelations]
General_Relations.B [in hydras.Schutte.GRelations]
General_Relations.A [in hydras.Schutte.GRelations]
General_Relations.Definitions.R [in hydras.Schutte.GRelations]
General_Relations.Definitions.DB [in hydras.Schutte.GRelations]
General_Relations.Definitions.DA [in hydras.Schutte.GRelations]
General_Relations.Definitions.B [in hydras.Schutte.GRelations]
General_Relations.Definitions.A [in hydras.Schutte.GRelations]
Generic.A [in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split_permutation [in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split_decr [in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort.split [in hydras.Prelude.Merge_Sort]
Generic.Merging.le [in hydras.Prelude.Merge_Sort]
Goedel's_1st_Incompleteness.expressT2 [in Goedel.goedel1]
Goedel's_1st_Incompleteness.expressT1 [in Goedel.goedel1]
Goedel's_1st_Incompleteness.freeVarRepT [in Goedel.goedel1]
Goedel's_1st_Incompleteness.v0 [in Goedel.goedel1]
Goedel's_1st_Incompleteness.repT [in Goedel.goedel1]
Goedel's_1st_Incompleteness.extendsNN [in Goedel.goedel1]
Goedel's_1st_Incompleteness.T [in Goedel.goedel1]
Goedel's_2nd_Incompleteness.HBL3 [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.HBL2 [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.expressT2 [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.expressT1 [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.freeVarRepT [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.v0 [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.repT [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.extendsPA [in Goedel.goedel2]
Goedel's_2nd_Incompleteness.T [in Goedel.goedel2]

H

Hypos.Hn [in hydras.Prelude.First_toggle]
Hypos.Hnp [in hydras.Prelude.First_toggle]
Hypos.Hp [in hydras.Prelude.First_toggle]
Hypos.R [in hydras.Prelude.First_toggle]
Hypos.search_toggle [in hydras.Prelude.First_toggle]
Hypos.spec [in hydras.Prelude.First_toggle]
H'_F.IHalpha [in hydras.Epsilon0.F_alpha]
H'_F.alpha [in hydras.Epsilon0.F_alpha]
H'_F.P [in hydras.Epsilon0.F_alpha]
H'_omega_cube_3.N [in hydras.Epsilon0.Hprime]
H'_omega_cube_3.f [in hydras.Epsilon0.Hprime]
H'_cons.i [in hydras.Epsilon0.Hprime]
H'_cons.alpha [in hydras.Epsilon0.Hprime]

I

ImpossibilityProof.m [in gaia_hydras.GHydra]
ImpossibilityProof.mh [in gaia_hydras.GHydra]
ImpossibilityProof.mu [in gaia_hydras.GHydra]
ImpossibilityProof.nfMu [in gaia_hydras.GHydra]
Impossibility_Proof.small_h [in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof.big_h [in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof.small_h [in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof.big_h [in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof.small_h [in hydras.Hydra.Omega2_Small]
Impossibility_Proof.iota [in hydras.Hydra.Omega2_Small]
Impossibility_Proof.big_h [in hydras.Hydra.Omega2_Small]
Impossibility_Proof.m [in hydras.Hydra.Omega2_Small]
Impossibility_Proof.small_h [in hydras.Hydra.Omega_Small]
Impossibility_Proof.big_h [in hydras.Hydra.Omega_Small]
Impossibility_Proof.iota [in hydras.Hydra.Omega_Small]
Impossibility_Proof.m [in hydras.Hydra.Omega_Small]
Impossibility1.m [in hydras.solutions_exercises.MultisetWf]
Impossibility1.mDecr [in hydras.solutions_exercises.MultisetWf]
Impossibility1.x [in hydras.solutions_exercises.MultisetWf]
Impossibility1.y [in hydras.solutions_exercises.MultisetWf]
Inclusion_ij.b [in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.Hij [in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.j [in hydras.OrdinalNotations.ON_Finite]
Inclusion_ij.i [in hydras.OrdinalNotations.ON_Finite]
inductive_step.Hn [in hydras.Epsilon0.F_omega]
inductive_step.n [in hydras.Epsilon0.F_omega]
Inverse_Image_transp.Rof [in additions.Wf_transparent]
Inverse_Image_transp.f [in additions.Wf_transparent]
Inverse_Image_transp.R [in additions.Wf_transparent]
Inverse_Image_transp.B [in additions.Wf_transparent]
Inverse_Image_transp.A [in additions.Wf_transparent]
inversion_of_bijection.f_b [in hydras.Schutte.PartialFun]
inversion_of_bijection.inv_spec [in hydras.Schutte.PartialFun]
inversion_of_bijection.f [in hydras.Schutte.PartialFun]
inversion_of_bijection.DB [in hydras.Schutte.PartialFun]
inversion_of_bijection.DA [in hydras.Schutte.PartialFun]
inversion_of_bijection.inhA [in hydras.Schutte.PartialFun]
inversion_of_bijection.B [in hydras.Schutte.PartialFun]
inversion_of_bijection.A [in hydras.Schutte.PartialFun]

K

KFK_proof.Hq_prop [in additions.Euclidean_Chains]
KFK_proof.Hbr_prop [in additions.Euclidean_Chains]
KFK_proof.Hq [in additions.Euclidean_Chains]
KFK_proof.Hbr [in additions.Euclidean_Chains]
KFK_proof.fq [in additions.Euclidean_Chains]
KFK_proof.kbr [in additions.Euclidean_Chains]
KFK_proof.r [in additions.Euclidean_Chains]
KFK_proof.q [in additions.Euclidean_Chains]
KFK_proof.b [in additions.Euclidean_Chains]
KP.h' [in hydras.Hydra.KP_example]

L

Lemma_4_4_Proof.H0 [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.H [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Hs [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.s [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.n [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Hbeta [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.Halpha [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.beta [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_Proof.alpha [in hydras.Epsilon0.Large_Sets]
Lemma_4_3_Proof.H4 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H1 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H0 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n2 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n1 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.n0 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.nf2 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.nf1 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.H00 [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.beta [in hydras.Epsilon0.Paths]
Lemma_4_3_Proof.alpha [in hydras.Epsilon0.Paths]
LExamples.ex1 [in hydras.Ackermann.fol]
LExamples.ex2 [in hydras.Ackermann.fol]
LExamples.ex3 [in hydras.Ackermann.fol]
LExamples.L [in hydras.Ackermann.fol]
LExamples.P [in hydras.Ackermann.fol]
LExamples.Q [in hydras.Ackermann.fol]
lexprod.A [in hydras.Prelude.DecPreOrder_Instances]
lexprod.B [in hydras.Prelude.DecPreOrder_Instances]
lexprod.leA [in hydras.Prelude.DecPreOrder_Instances]
lexprod.leB [in hydras.Prelude.DecPreOrder_Instances]
lim.f [in hydras.Epsilon0.Large_Sets]
lim.H [in hydras.Epsilon0.Large_Sets]
lim.Hlim [in hydras.Epsilon0.Large_Sets]
lim.Hnf [in hydras.Epsilon0.Large_Sets]
lim.lambda [in hydras.Epsilon0.Large_Sets]
List_Remove.Aeq_dec [in hydras.Ackermann.ListExt]
List_Remove.A [in hydras.Ackermann.ListExt]
LNN_FixPoint.codeFormula [in Goedel.fixPoint]
LNT_FixPoint.codeFormula [in Goedel.fixPoint]
Logic_Rules.SysPrf [in hydras.Ackermann.folLogic]
Logic_Rules.Prf [in hydras.Ackermann.folLogic]
Logic_Rules.Terms [in hydras.Ackermann.folLogic]
Logic_Rules.Term [in hydras.Ackermann.folLogic]
Logic_Rules.System [in hydras.Ackermann.folLogic]
Logic_Rules.Formulas [in hydras.Ackermann.folLogic]
Logic_Rules.Formula [in hydras.Ackermann.folLogic]
Logic_Rules.L [in hydras.Ackermann.folLogic]
lt_incl_rpo.H [in hydras.Gamma0.Gamma0]
lt_incl_rpo.nf2 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.nf1 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.Hrec [in hydras.Gamma0.Gamma0]
lt_incl_rpo.Hsize [in hydras.Gamma0.Gamma0]
lt_incl_rpo.n2 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.n1 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.c2 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.b2 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.a2 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.c1 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.b1 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.a1 [in hydras.Gamma0.Gamma0]
lt_incl_rpo.s [in hydras.Gamma0.Gamma0]
L_correct_proof.P [in hydras.Epsilon0.L_alpha]

M

Make.DoubleRecursion.Pl2 [in hydras.rpo.term]
Make.DoubleRecursion.P2 [in hydras.rpo.term]
Make.Recursion.P [in hydras.rpo.term]
Make.Recursion.Pl [in hydras.rpo.term]
Model_Theory.Consistent_Theory.T [in hydras.Ackermann.model]
Model_Theory.M [in hydras.Ackermann.model]
Model_Theory.L [in hydras.Ackermann.model]
MoreOrderType.disp [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.Hlim [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.Hsucc [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.s [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.y [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit.x [in gaia_hydras.onType]
MoreOrderType.T [in gaia_hydras.onType]
More_Logic_Rules.SysPrf [in hydras.Ackermann.folLogic2]
More_Logic_Rules.Prf [in hydras.Ackermann.folLogic2]
More_Logic_Rules.Terms [in hydras.Ackermann.folLogic2]
More_Logic_Rules.Term [in hydras.Ackermann.folLogic2]
More_Logic_Rules.System [in hydras.Ackermann.folLogic2]
More_Logic_Rules.Formulas [in hydras.Ackermann.folLogic2]
More_Logic_Rules.Formula [in hydras.Ackermann.folLogic2]
More_Logic_Rules.L [in hydras.Ackermann.folLogic2]
M_given.E_eq [in additions.Pow_variant]
M_given.E_one [in additions.Pow_variant]
M_given.E_op [in additions.Pow_variant]
M_given.A [in additions.Pow_variant]
M_given.E_one [in additions.Pow]
M_given.A [in additions.Pow]
M2_def.rt [in additions.Monoid_instances]
M2_def.mult [in additions.Monoid_instances]
M2_def.plus [in additions.Monoid_instances]
M2_def.one [in additions.Monoid_instances]
M2_def.zero [in additions.Monoid_instances]
M2_def.A [in additions.Monoid_instances]
M2.Definitions.A [in additions.Naive]
M2.Definitions.mult [in additions.Naive]
M2.Definitions.one [in additions.Naive]
M2.Definitions.plus [in additions.Naive]
M2.Definitions.rt [in additions.Naive]
M2.Definitions.zero [in additions.Naive]
M2.M2_Definitions.rt [in additions.FirstSteps]
M2.M2_Definitions.mult [in additions.FirstSteps]
M2.M2_Definitions.plus [in additions.FirstSteps]
M2.M2_Definitions.one [in additions.FirstSteps]
M2.M2_Definitions.zero [in additions.FirstSteps]
M2.M2_Definitions.A [in additions.FirstSteps]

N

Nmodulo.m [in additions.Monoid_instances]
Nmodulo.m_gt_1 [in additions.Monoid_instances]
non_optimality_proof.binary_opt [in additions.Addition_Chains]
N_mod.m_fixed.m [in additions.Naive]

O

ONDef.Exports.Lemmas.disp [in gaia_hydras.onType]
ONDef.Exports.Lemmas.U [in gaia_hydras.onType]
ONDef.Packing.cT [in gaia_hydras.onType]
ONDef.Packing.disp [in gaia_hydras.onType]
onFiniteDef.i [in gaia_hydras.onType]
On_alpha.S2.H [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.Hbeta [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.beta [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1.H [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.HnonZero [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.Halpha [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.alpha [in hydras.solutions_exercises.Limit_Infinity]
On_Iota.unique_P [in hydras.Schutte.MoreEpsilonIota]
On_Iota.inhA [in hydras.Schutte.MoreEpsilonIota]
On_Iota.P [in hydras.Schutte.MoreEpsilonIota]
On_Iota.A [in hydras.Schutte.MoreEpsilonIota]
ordering_function_unicity.O2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.O1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.f2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.f1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.A2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.A1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity.B [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.O2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.O1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.f2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.f1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.A2 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.A1 [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1.B [in hydras.Schutte.Ordering_Functions]

P

phi_to_psi.alpha [in hydras.Gamma0.Gamma0]
phi0_mult.f_ok [in hydras.Epsilon0.Large_Sets]
phi0_mult.f_Sle [in hydras.Epsilon0.Large_Sets]
phi0_mult.f_mono [in hydras.Epsilon0.Large_Sets]
phi0_mult.Halpha [in hydras.Epsilon0.Large_Sets]
phi0_mult.f [in hydras.Epsilon0.Large_Sets]
phi0_mult.alpha [in hydras.Epsilon0.Large_Sets]
Primitive_recursion.f [in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.h [in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.g [in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.z [in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.y [in hydras.MoreAck.PrimRecExamples]
Primitive_recursion.x [in hydras.MoreAck.PrimRecExamples]
ProofH.Formula [in hydras.Ackermann.folProof]
ProofH.Formulas [in hydras.Ackermann.folProof]
ProofH.L [in hydras.Ackermann.folProof]
ProofH.System [in hydras.Ackermann.folProof]
ProofH.Term [in hydras.Ackermann.folProof]
ProofH.Terms [in hydras.Ackermann.folProof]
ProofOfLexwf.A [in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.Accs [in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.HwfA [in hydras.solutions_exercises.MultisetWf]
ProofOfLexwf.ltA [in hydras.solutions_exercises.MultisetWf]
Proofs_of_unicity.Proofs.S2.Hgammaalpha [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S2.gamma [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1.Halphagamma [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1.gamma [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.Halphabeta [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.beta [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.alpha [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_lt_succ_le.Proofs.S1.HGammaBeta [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.S1.gamma [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.Halphabeta [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.beta [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs.alpha [in hydras.solutions_exercises.lt_succ_le]
Proof_of_dist.P [in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.IHbeta [in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.Hbeta [in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction.beta [in hydras.Epsilon0.T1]
Proof_of_mult_nf.P [in hydras.Epsilon0.T1]
Proof_of_mult_nf.Halpha [in hydras.Epsilon0.T1]
Proof_of_mult_nf.alpha [in hydras.Epsilon0.T1]
Proof_of_MinIsPR.minPR [in hydras.solutions_exercises.MinPR2]
Proof_of_oplus_lt1.H0 [in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.n [in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.a2 [in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_lt1.a1 [in hydras.Epsilon0.Hessenberg]
Proof_of_Ackn_PR.S_step.n [in hydras.MoreAck.AckNotPR]
Proof_of_4_5_2.HlargeA [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HAB1 [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HB [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.HA [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.Halpha [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.alpha [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.B2 [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.B1 [in hydras.Epsilon0.Large_Sets]
Proof_of_4_5_2.A [in hydras.Epsilon0.Large_Sets]
Proof_of_Lemma5.Alpha_positive.closedness.IM [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.CM [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.HM [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.closedness.M [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded.gamma [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded.beta [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.IHalpha [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.alpha_pos [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.alpha [in hydras.Schutte.Critical]
Proof_of_Lemma5.P [in hydras.Schutte.Critical]
Proof_of_FibIsPR.fib_iter_cPair [in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_step_cPair [in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_iter [in hydras.solutions_exercises.FibonacciPR]
Proof_of_FibIsPR.fib_step [in hydras.solutions_exercises.FibonacciPR]
Proof_of_MinIsPR.min_alt [in hydras.solutions_exercises.MinPR]
Proof_of_H'_mono_l.Limit_case.Hbeta [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case.Hgamma [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case.gamma [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.H_alpha_beta [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.beta [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.alpha [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_limit.Hlim [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ.alpha_def [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ.beta [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.Halpha [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha [in hydras.Epsilon0.Hprime]
proof_of_associativity.g_alpha_beta [in hydras.Schutte.Addition]
proof_of_associativity.f_alpha_beta [in hydras.Schutte.Addition]
proof_of_associativity.beta [in hydras.Schutte.Addition]
proof_of_associativity.alpha [in hydras.Schutte.Addition]
Proof_of_lt_not_wf.seq_intro.is_in_seq [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.Rwf [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.R [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.seq [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.seq_intro.A [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf.lt_wf [in hydras.solutions_exercises.T1_ltNotWf]
Properties.The_induction.alpha_limit.Hlim [in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ.alpha_def [in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ.beta [in hydras.Epsilon0.F_alpha]
Properties.The_induction.Halpha [in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha [in hydras.Epsilon0.F_alpha]

R

Refinement_proof.E_eq [in additions.Addition_Chains]
Refinement_proof.E_one [in additions.Addition_Chains]
Refinement_proof.E_op [in additions.Addition_Chains]
Refinement_proof.A [in additions.Addition_Chains]
Replacement.Formula [in hydras.Ackermann.folReplace]
Replacement.Formulas [in hydras.Ackermann.folReplace]
Replacement.L [in hydras.Ackermann.folReplace]
Replacement.SysPrf [in hydras.Ackermann.folReplace]
Replacement.System [in hydras.Ackermann.folReplace]
Replacement.Term [in hydras.Ackermann.folReplace]
Replacement.Terms [in hydras.Ackermann.folReplace]
RepresentableExpressible.closedT1 [in hydras.Ackermann.expressible]
RepresentableExpressible.nn1 [in hydras.Ackermann.expressible]
RepresentableExpressible.T [in hydras.Ackermann.expressible]
restricted_recursion.R [in hydras.Prelude.Restriction]
restricted_recursion.E [in hydras.Prelude.Restriction]
restricted_recursion.A [in hydras.Prelude.Restriction]
restricted_recursion.R [in gaia_hydras.nfwfgaia]
restricted_recursion.P [in gaia_hydras.nfwfgaia]
restricted_recursion.A [in gaia_hydras.nfwfgaia]
Rosser's_Incompleteness.expressT2 [in Goedel.rosserPA]
Rosser's_Incompleteness.expressT1 [in Goedel.rosserPA]
Rosser's_Incompleteness.freeVarRepT [in Goedel.rosserPA]
Rosser's_Incompleteness.v0 [in Goedel.rosserPA]
Rosser's_Incompleteness.repT [in Goedel.rosserPA]
Rosser's_Incompleteness.extendsPA [in Goedel.rosserPA]
Rosser's_Incompleteness.T [in Goedel.rosserPA]
Rosser's_Incompleteness.expressT2 [in Goedel.rosser]
Rosser's_Incompleteness.expressT1 [in Goedel.rosser]
Rosser's_Incompleteness.freeVarRepT [in Goedel.rosser]
Rosser's_Incompleteness.v0 [in Goedel.rosser]
Rosser's_Incompleteness.repT [in Goedel.rosser]
Rosser's_Incompleteness.extendsNN [in Goedel.rosser]
Rosser's_Incompleteness.T [in Goedel.rosser]
R_given.R [in hydras.Prelude.Sort_spec]
R_given.A [in hydras.Prelude.Sort_spec]

S

Semantics.A [in additions.AM]
Semantics.mul [in additions.AM]
Semantics.one [in additions.AM]
Sequences.A [in gaia_hydras.nfwfgaia]
Sequences.R [in gaia_hydras.nfwfgaia]
Sequences.W [in gaia_hydras.nfwfgaia]
sqrtIsPR.P [in hydras.solutions_exercises.isqrt]
sqrtIsPR.Proof_isqrt.n [in hydras.solutions_exercises.isqrt]
step.F [in hydras.Epsilon0.F_omega]
step.Hn [in hydras.Epsilon0.F_omega]
step.n [in hydras.Epsilon0.F_omega]
SubAllVars.L [in hydras.Ackermann.subAll]
Substitution_Properties.SysPrf [in hydras.Ackermann.subProp]
Substitution_Properties.Terms [in hydras.Ackermann.subProp]
Substitution_Properties.Term [in hydras.Ackermann.subProp]
Substitution_Properties.System [in hydras.Ackermann.subProp]
Substitution_Properties.Formulas [in hydras.Ackermann.subProp]
Substitution_Properties.Formula [in hydras.Ackermann.subProp]
Substitution_Properties.L [in hydras.Ackermann.subProp]
succ.beta [in hydras.Epsilon0.Large_Sets]
succ.f [in hydras.Epsilon0.Large_Sets]
succ.f_ok [in hydras.Epsilon0.Large_Sets]
succ.f_Sle [in hydras.Epsilon0.Large_Sets]
succ.f_mono [in hydras.Epsilon0.Large_Sets]
succ.Hbeta [in hydras.Epsilon0.Large_Sets]
S1.H [in hydras.solutions_exercises.is_F_monotonous]
S1.instance_H [in hydras.solutions_exercises.is_F_monotonous]
S1.Limit.Hlambda [in hydras.solutions_exercises.F_3]
S1.Limit.IHlambda [in hydras.solutions_exercises.F_3]
S1.Limit.lambda [in hydras.solutions_exercises.F_3]
S1.Limit.S3.Hn [in hydras.solutions_exercises.F_3]
S1.Limit.S3.n [in hydras.solutions_exercises.F_3]
S1.P [in hydras.solutions_exercises.F_3]
S1.Successor.alpha [in hydras.solutions_exercises.F_3]
S1.Successor.H_alpha [in hydras.solutions_exercises.F_3]
S1.Successor.S2.Hn [in hydras.solutions_exercises.F_3]
S1.Successor.S2.n [in hydras.solutions_exercises.F_3]
S2.a [in additions.Addition_Chains]
S2.A [in additions.Addition_Chains]
S2.b [in additions.Addition_Chains]
S2.B [in additions.Addition_Chains]
S2.R_true [in additions.Addition_Chains]
S256.mod256 [in additions.Monoid_instances]

T

Term.DoubleRecursion.Pl2 [in hydras.rpo.term]
Term.DoubleRecursion.P2 [in hydras.rpo.term]
Term.Recursion.P [in hydras.rpo.term]
Term.Recursion.Pl [in hydras.rpo.term]
the_context.Lt [in hydras.Schutte.Well_Orders]
the_context.M [in hydras.Schutte.Well_Orders]
Th13_5.verso.U_fixed.alpha_ [in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_inc_A [in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_den [in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U_non_empty [in hydras.Schutte.Ordering_Functions]
Th13_5.verso.U_fixed.U [in hydras.Schutte.Ordering_Functions]
Th13_5.verso.B_closed [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.U [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.den [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.ne [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.inc [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed.M [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.f_cont [in hydras.Schutte.Ordering_Functions]
Th13_5.f_ord [in hydras.Schutte.Ordering_Functions]
Th13_5.f [in hydras.Schutte.Ordering_Functions]
Th13_5.B [in hydras.Schutte.Ordering_Functions]
Th13_5.A [in hydras.Schutte.Ordering_Functions]
Toy.Drinkers_theorem.f [in hydras.MoreAck.FolExamples]
Toy.OnSubstF.F [in hydras.MoreAck.FolExamples]
Translate_Proof.AxiomsOK [in hydras.Ackermann.LNN2LNT]
Translate_Proof.V [in hydras.Ackermann.LNN2LNT]
Translate_Proof.U [in hydras.Ackermann.LNN2LNT]
trans_proof.induc [in hydras.Gamma0.Gamma0]
trans_proof.H23 [in hydras.Gamma0.Gamma0]
trans_proof.H12 [in hydras.Gamma0.Gamma0]
trans_proof.n3 [in hydras.Gamma0.Gamma0]
trans_proof.n2 [in hydras.Gamma0.Gamma0]
trans_proof.n1 [in hydras.Gamma0.Gamma0]
trans_proof.c3 [in hydras.Gamma0.Gamma0]
trans_proof.b3 [in hydras.Gamma0.Gamma0]
trans_proof.a3 [in hydras.Gamma0.Gamma0]
trans_proof.c2 [in hydras.Gamma0.Gamma0]
trans_proof.b2 [in hydras.Gamma0.Gamma0]
trans_proof.a2 [in hydras.Gamma0.Gamma0]
trans_proof.c1 [in hydras.Gamma0.Gamma0]
trans_proof.b1 [in hydras.Gamma0.Gamma0]
trans_proof.a1 [in hydras.Gamma0.Gamma0]

V

Variants.E [in hydras.Prelude.WfVariant]
Variants.lt [in hydras.Prelude.WfVariant]
Variants.m [in hydras.Prelude.WfVariant]
Variants.T [in hydras.Prelude.WfVariant]
Variants.tr [in hydras.Prelude.WfVariant]

W

Well_Formed_Term.Well_Formed_Formula.Formula [in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityRIsCorrect2 [in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityRIsCorrect1 [in hydras.Ackermann.wellFormed]
Well_Formed_Term.Well_Formed_Formula.codeArityR [in hydras.Ackermann.wellFormed]
Well_Formed_Term.Terms [in hydras.Ackermann.wellFormed]
Well_Formed_Term.Term [in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityFIsCorrect2 [in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityFIsCorrect1 [in hydras.Ackermann.wellFormed]
Well_Formed_Term.codeArityF [in hydras.Ackermann.wellFormed]
Well_Formed_Term.L [in hydras.Ackermann.wellFormed]
well_founded.R [in hydras.Gamma0.Gamma0]
with_matrices.R [in additions.fib]

---

Library Index

A

Ack
AckNotPR
Addition
Addition_Chains
AM
AP

B

BadSubst
Battle_length
BigBattle
BinaryStrat

C

Canon
checkPrf
closure
CNF
code
codeFreeVar
codeList
codeNatToTerm
codePA
codeSubFormula
codeSubTerm
codeSysPrf
Comparable
Compatibility
Compat815
Correctness_E0
Countable
cPair
Critical

D

decidable_set
DecPreOrder
DecPreOrder_Instances
Deduction
Demo
Demo_power
Dichotomy
dickson

E

Epsilon0
Epsilon0rpo
Epsilon0_Needed_Std
Epsilon0_Needed_Free
Epsilon0_Needed_Generic
Euclidean_Chains
Example_3PlusOmega
expressible
expressibleExamples
Exp2
extEqualNat
E0

F

fib
FibonacciPR
Fib2
FirstSteps
First_toggle
fixPoint
fol
FolExamples
folLogic
folLogic2
folLogic3
folProof
folProp
folReplace
Fuel
F_3
F_alpha
F_omega

G

GaiaToHydra
Gamma0
GCanon
ge_omega_iff
GF_alpha
GHessenberg
GHprime
GHydra
GLarge_Sets
GL_alpha
goedel1
goedel2
GPaths
GPrelude
GRelations

H

Hessenberg
Hprime
HydraGaia_Examples
Hydra_Termination
Hydra_Extraction
Hydra_Lemmas
Hydra_Definitions
Hydra_Examples
Hydra_Theorems

I

isqrt
is_F_monotonous
Iterates
Iterate_compat

K

KP_example

L

Languages
Large_Sets
Large_Sets_Examples
LibHyps_Experiments
Limit_Infinity
ListExt
list_permut
list_set
LNN
LNN_Examples
LNN2LNT
LNT
lt_succ_le
Lub
L_alpha

M

Merge_Sort
MinPR
MinPR2
misc
model
Monoid_instances
Monoid_def
MoreDecidable
MoreEpsilonIota
MoreLibHyps
MoreLists
MoreOrders
MorePRExamples
MoreVectors
More_Arith
more_list
More_on_positive
MultisetWf

N

Naive
NewNotations
nfwfgaia
NN
NNtheory
NN2PA

O

OmegaOmega
Omega_Small
Omega2_Small
OnCodeList
onType
ON_Generic
ON_mult
ON_Finite
ON_Omega_plus_omega
ON_Omega
ON_Omega2
ON_plus
ON_gfinite
ON_O
Ordering_Functions
OrdNotations
O2H

P

PA
PAconsistent
PartialFun
PAtheory
Paths
Pow
Pow_variant
predSuccUnicity
primRec
PrimRecExamples
prLogic
PRrepresentable

R

Restriction
rosser
rosserPA
rpo

S

Schutte
Schutte_basics
schutte_cnf_counter_example
Simple_LexProd
Sort_spec
ssrnat_extracts
STDPP_compat
Strategies
subAll
subProp

T

term
Trace_exercise
T1
T1Bridge
T1Choice
T1_ltNotWf
T2
T2Bridge

W

wConsistent
wellFormed
Well_Orders
WfVariant
Wf_transparent

---

Lemma Index

A

absurd1 [in hydras.Ackermann.LNN]
absurd1 [in hydras.Ackermann.LNT]
absurd1 [in hydras.Ackermann.folLogic]
Accs_all [in hydras.solutions_exercises.MultisetWf]
acc_from_to_round_plus [in hydras.Hydra.O2H]
Acc_nil [in hydras.solutions_exercises.MultisetWf]
Acc_inverse_image [in additions.Wf_transparent]
Acc_lemma [in additions.Wf_transparent]
acc_from_LT [in hydras.Epsilon0.Paths]
acc_from_trans [in hydras.Epsilon0.Paths]
acc_trans [in hydras.rpo.closure]
acc_rec [in gaia_hydras.nfwfgaia]
acc_imp [in hydras.solutions_exercises.T1_ltNotWf]
Ackermann.addC_CE [in gaia_hydras.nfwfgaia]
Ackermann.add_normal [in gaia_hydras.nfwfgaia]
Ackermann.add_le4 [in gaia_hydras.nfwfgaia]
Ackermann.add_le3 [in gaia_hydras.nfwfgaia]
Ackermann.add_inj [in gaia_hydras.nfwfgaia]
Ackermann.add_le2 [in gaia_hydras.nfwfgaia]
Ackermann.add_le1 [in gaia_hydras.nfwfgaia]
Ackermann.add_to_cons [in gaia_hydras.nfwfgaia]
Ackermann.add_fin_omega [in gaia_hydras.nfwfgaia]
Ackermann.add_int [in gaia_hydras.nfwfgaia]
Ackermann.add1Nfin [in gaia_hydras.nfwfgaia]
Ackermann.all_zeroE [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr2CE [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr4 [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr3 [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr2 [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr1 [in gaia_hydras.nfwfgaia]
Ackermann.ap_limit [in gaia_hydras.nfwfgaia]
Ackermann.ap_pr0 [in gaia_hydras.nfwfgaia]
Ackermann.conc1 [in gaia_hydras.nfwfgaia]
Ackermann.fincP [in gaia_hydras.nfwfgaia]
Ackermann.finite_ltP [in gaia_hydras.nfwfgaia]
Ackermann.fooCE [in gaia_hydras.nfwfgaia]
Ackermann.le_succ_succE [in gaia_hydras.nfwfgaia]
Ackermann.le_succ_succ [in gaia_hydras.nfwfgaia]
Ackermann.limit_pr [in gaia_hydras.nfwfgaia]
Ackermann.limit_pr1 [in gaia_hydras.nfwfgaia]
Ackermann.limit1 [in gaia_hydras.nfwfgaia]
Ackermann.limit10 [in gaia_hydras.nfwfgaia]
Ackermann.limit11 [in gaia_hydras.nfwfgaia]
Ackermann.limit12a [in gaia_hydras.nfwfgaia]
Ackermann.limit12b1 [in gaia_hydras.nfwfgaia]
Ackermann.limit12b2 [in gaia_hydras.nfwfgaia]
Ackermann.limit12b3 [in gaia_hydras.nfwfgaia]
Ackermann.limit12b4 [in gaia_hydras.nfwfgaia]
Ackermann.limit12b5 [in gaia_hydras.nfwfgaia]
Ackermann.limit2 [in gaia_hydras.nfwfgaia]
Ackermann.limit3 [in gaia_hydras.nfwfgaia]
Ackermann.limit4 [in gaia_hydras.nfwfgaia]
Ackermann.limit5 [in gaia_hydras.nfwfgaia]
Ackermann.limit6 [in gaia_hydras.nfwfgaia]
Ackermann.limit7 [in gaia_hydras.nfwfgaia]
Ackermann.limit8 [in gaia_hydras.nfwfgaia]
Ackermann.limit9 [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_4 [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_3 [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_2 [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_le_1 [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_succE [in gaia_hydras.nfwfgaia]
Ackermann.lt_succ_succ [in gaia_hydras.nfwfgaia]
Ackermann.lt_omega2 [in gaia_hydras.nfwfgaia]
Ackermann.lt_omega1 [in gaia_hydras.nfwfgaia]
Ackermann.lt_epsilon0 [in gaia_hydras.nfwfgaia]
Ackermann.lt_not_wf [in gaia_hydras.nfwfgaia]
Ackermann.minus_le [in gaia_hydras.nfwfgaia]
Ackermann.minus_lt [in gaia_hydras.nfwfgaia]
Ackermann.nf_add [in gaia_hydras.nfwfgaia]
Ackermann.nf_sub [in gaia_hydras.nfwfgaia]
Ackermann.nf_pred [in gaia_hydras.nfwfgaia]
Ackermann.nf_succ [in gaia_hydras.nfwfgaia]
Ackermann.nf_finite [in gaia_hydras.nfwfgaia]
Ackermann.nf_omega [in gaia_hydras.nfwfgaia]
Ackermann.nf_split [in gaia_hydras.nfwfgaia]
Ackermann.nf_Wf [in gaia_hydras.nfwfgaia]
Ackermann.nf_consE [in gaia_hydras.nfwfgaia]
Ackermann.nf_cons_cons [in gaia_hydras.nfwfgaia]
Ackermann.nf_int [in gaia_hydras.nfwfgaia]
Ackermann.nf_psi [in gaia_hydras.nfwfgaia]
Ackermann.nf_0 [in gaia_hydras.nfwfgaia]
Ackermann.normal_compose [in gaia_hydras.nfwfgaia]
Ackermann.normal_limit [in gaia_hydras.nfwfgaia]
Ackermann.normal_id [in gaia_hydras.nfwfgaia]
Ackermann.omega_minus_one [in gaia_hydras.nfwfgaia]
Ackermann.omega_least_inf2 [in gaia_hydras.nfwfgaia]
Ackermann.omega_least_inf1 [in gaia_hydras.nfwfgaia]
Ackermann.phiE [in gaia_hydras.nfwfgaia]
Ackermann.phiE_3 [in gaia_hydras.nfwfgaia]
Ackermann.phiE_2 [in gaia_hydras.nfwfgaia]
Ackermann.phiE_1 [in gaia_hydras.nfwfgaia]
Ackermann.phiL [in gaia_hydras.nfwfgaia]
Ackermann.phi3v [in gaia_hydras.nfwfgaia]
Ackermann.pred_succ [in gaia_hydras.nfwfgaia]
Ackermann.pred_lt [in gaia_hydras.nfwfgaia]
Ackermann.pred_le [in gaia_hydras.nfwfgaia]
Ackermann.psi_succ_pr1 [in gaia_hydras.nfwfgaia]
Ackermann.psi_lt2 [in gaia_hydras.nfwfgaia]
Ackermann.psi_lt1 [in gaia_hydras.nfwfgaia]
Ackermann.size_prop [in gaia_hydras.nfwfgaia]
Ackermann.size_prop1 [in gaia_hydras.nfwfgaia]
Ackermann.size_psi [in gaia_hydras.nfwfgaia]
Ackermann.size_d [in gaia_hydras.nfwfgaia]
Ackermann.size_c [in gaia_hydras.nfwfgaia]
Ackermann.size_b [in gaia_hydras.nfwfgaia]
Ackermann.size_a [in gaia_hydras.nfwfgaia]
Ackermann.split_add [in gaia_hydras.nfwfgaia]
Ackermann.split_le [in gaia_hydras.nfwfgaia]
Ackermann.split_pred [in gaia_hydras.nfwfgaia]
Ackermann.split_succ [in gaia_hydras.nfwfgaia]
Ackermann.split_is_succ [in gaia_hydras.nfwfgaia]
Ackermann.split_limit [in gaia_hydras.nfwfgaia]
Ackermann.split_finite [in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1rCE [in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1r [in gaia_hydras.nfwfgaia]
Ackermann.sub_nz [in gaia_hydras.nfwfgaia]
Ackermann.sub_pr1 [in gaia_hydras.nfwfgaia]
Ackermann.sub_pr [in gaia_hydras.nfwfgaia]
Ackermann.sub_le1 [in gaia_hydras.nfwfgaia]
Ackermann.sub_1bCE [in gaia_hydras.nfwfgaia]
Ackermann.sub_1aCE [in gaia_hydras.nfwfgaia]
Ackermann.sub_int [in gaia_hydras.nfwfgaia]
Ackermann.sub1a [in gaia_hydras.nfwfgaia]
Ackermann.sub1b [in gaia_hydras.nfwfgaia]
Ackermann.sub1Nfin [in gaia_hydras.nfwfgaia]
Ackermann.succ_psiCE [in gaia_hydras.nfwfgaia]
Ackermann.succ_prCE [in gaia_hydras.nfwfgaia]
Ackermann.succ_psi2 [in gaia_hydras.nfwfgaia]
Ackermann.succ_psi1 [in gaia_hydras.nfwfgaia]
Ackermann.succ_is_add_one [in gaia_hydras.nfwfgaia]
Ackermann.succ_psi_lt2 [in gaia_hydras.nfwfgaia]
Ackermann.succ_psi_lt [in gaia_hydras.nfwfgaia]
Ackermann.succ_psi [in gaia_hydras.nfwfgaia]
Ackermann.succ_nz [in gaia_hydras.nfwfgaia]
Ackermann.succ_inj [in gaia_hydras.nfwfgaia]
Ackermann.succ_p1 [in gaia_hydras.nfwfgaia]
Ackermann.succ_pred [in gaia_hydras.nfwfgaia]
Ackermann.succ_lt [in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_succ [in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_limit [in gaia_hydras.nfwfgaia]
Ackermann.sup_Oalpha_zero [in gaia_hydras.nfwfgaia]
Ackermann.sup_unique [in gaia_hydras.nfwfgaia]
Ackermann.TT1T3_inj [in gaia_hydras.nfwfgaia]
Ackermann.T1succ_nat [in gaia_hydras.nfwfgaia]
Ackermann.T1T3_surj [in gaia_hydras.nfwfgaia]
Ackermann.T1T3_inc [in gaia_hydras.nfwfgaia]
Ackermann.T1T3_lt_epsilon0 [in gaia_hydras.nfwfgaia]
Ackermann.T3addA [in gaia_hydras.nfwfgaia]
Ackermann.T3addn0 [in gaia_hydras.nfwfgaia]
Ackermann.T3addS [in gaia_hydras.nfwfgaia]
Ackermann.T3add_eq0 [in gaia_hydras.nfwfgaia]
Ackermann.T3add0n [in gaia_hydras.nfwfgaia]
Ackermann.T3eqE [in gaia_hydras.nfwfgaia]
Ackermann.T3eqP [in gaia_hydras.nfwfgaia]
Ackermann.T3eq_add2l [in gaia_hydras.nfwfgaia]
Ackermann.T3eq_le [in gaia_hydras.nfwfgaia]
Ackermann.T3finite_succ [in gaia_hydras.nfwfgaia]
Ackermann.T3finite1 [in gaia_hydras.nfwfgaia]
Ackermann.T3finite2 [in gaia_hydras.nfwfgaia]
Ackermann.T3ge1 [in gaia_hydras.nfwfgaia]
Ackermann.T3gt1 [in gaia_hydras.nfwfgaia]
Ackermann.T3lcp0_pr [in gaia_hydras.nfwfgaia]
Ackermann.T3leNgt [in gaia_hydras.nfwfgaia]
Ackermann.T3lenn [in gaia_hydras.nfwfgaia]
Ackermann.T3len0 [in gaia_hydras.nfwfgaia]
Ackermann.T3leP [in gaia_hydras.nfwfgaia]
Ackermann.T3le_add2r [in gaia_hydras.nfwfgaia]
Ackermann.T3le_add2l [in gaia_hydras.nfwfgaia]
Ackermann.T3le_psi [in gaia_hydras.nfwfgaia]
Ackermann.T3le_total [in gaia_hydras.nfwfgaia]
Ackermann.T3le_anti [in gaia_hydras.nfwfgaia]
Ackermann.T3le_trans [in gaia_hydras.nfwfgaia]
Ackermann.T3le_lt_trans [in gaia_hydras.nfwfgaia]
Ackermann.T3le_consE [in gaia_hydras.nfwfgaia]
Ackermann.T3le_eqVlt [in gaia_hydras.nfwfgaia]
Ackermann.T3le0n [in gaia_hydras.nfwfgaia]
Ackermann.T3ltE [in gaia_hydras.nfwfgaia]
Ackermann.T3ltgtP [in gaia_hydras.nfwfgaia]
Ackermann.T3ltNge [in gaia_hydras.nfwfgaia]
Ackermann.T3ltnn [in gaia_hydras.nfwfgaia]
Ackermann.T3ltn0 [in gaia_hydras.nfwfgaia]
Ackermann.T3ltP [in gaia_hydras.nfwfgaia]
Ackermann.T3ltW [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_add2r [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_add2l [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_a [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_c [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_b [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi_bc [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_le_trans [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_trans [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi' [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_trichotomy [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_anti [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_neAle [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_ne' [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_ne [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_consE [in gaia_hydras.nfwfgaia]
Ackermann.T3lt_psi [in gaia_hydras.nfwfgaia]
Ackermann.T3lt0n [in gaia_hydras.nfwfgaia]
Ackermann.T3lt1 [in gaia_hydras.nfwfgaia]
Ackermann.T3nf_finite [in gaia_hydras.nfwfgaia]
Ackermann.T3subnn [in gaia_hydras.nfwfgaia]
Ackermann.T3subn0 [in gaia_hydras.nfwfgaia]
Ackermann.T3sub0n [in gaia_hydras.nfwfgaia]
AckSn_as_PRiterate [in hydras.MoreAck.AckNotPR]
AckSn_as_iterate [in hydras.MoreAck.AckNotPR]
Ack_not_PR [in hydras.MoreAck.AckNotPR]
Ack_iterate_rw [in hydras.Epsilon0.F_omega]
Ack_strict_mono_l [in hydras.MoreAck.Ack]
Ack_Sn_plus [in hydras.MoreAck.Ack]
Ack_mono_r [in hydras.MoreAck.Ack]
Ack_mono_l [in hydras.MoreAck.Ack]
Ack_strict_mono [in hydras.MoreAck.Ack]
Ack_properties [in hydras.MoreAck.Ack]
Ack_m_mono_weak [in hydras.MoreAck.Ack]
Ack_4_n [in hydras.MoreAck.Ack]
Ack_3_n [in hydras.MoreAck.Ack]
Ack_2_n [in hydras.MoreAck.Ack]
Ack_1_n [in hydras.MoreAck.Ack]
Ack_S_S [in hydras.MoreAck.Ack]
Ack_S_0 [in hydras.MoreAck.Ack]
Ack_0 [in hydras.MoreAck.Ack]
addPairwiseEquals [in hydras.Ackermann.folLogic3]
add_r_0 [in hydras.Hydra.Hydra_Lemmas]
Alive_standard [in hydras.Hydra.Hydra_Theorems]
Alive_free [in hydras.Hydra.Hydra_Theorems]
all_cases [in hydras.Hydra.O2H]
all_ord_acc [in hydras.Schutte.Schutte_basics]
Almost_done [in hydras.Hydra.BigBattle]
alpha_pos [in hydras.Hydra.O2H]
alpha_lt_beta [in hydras.Schutte.AP]
alpha_plus_zero [in hydras.Epsilon0.E0]
alpha_sup [in hydras.Schutte.Ordering_Functions]
alpha_A [in hydras.Schutte.Ordering_Functions]
alpha_plus_sup [in hydras.Schutte.Addition]
alpha_plus_zero [in hydras.Schutte.Addition]
alt_double_ok [in additions.Demo]
Alt.add'_ok [in hydras.MoreAck.PrimRecExamples]
Alt.compose_01 [in hydras.MoreAck.PrimRecExamples]
Alt.Eps0_prec.prec_transitive [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec_antisym [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec_dec [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.eq_symbol_dec [in hydras.Epsilon0.Epsilon0rpo]
Alt.lt_inc_rpo_0 [in hydras.Epsilon0.Epsilon0rpo]
Alt.lt_subterm2 [in hydras.Epsilon0.Epsilon0rpo]
Alt.lt_subterm1 [in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_2_term_mono [in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_lt_cons [in hydras.Epsilon0.Epsilon0rpo]
Alt.nf_Acc [in hydras.Epsilon0.Epsilon0rpo]
Alt.nf_Wf [in hydras.Epsilon0.Epsilon0rpo]
Alt.rpo_trans [in hydras.Epsilon0.Epsilon0rpo]
Alt.R_inc_rpo [in hydras.Epsilon0.Epsilon0rpo]
Alt.R1 [in hydras.Epsilon0.Epsilon0rpo]
Alt.R2 [in hydras.Epsilon0.Epsilon0rpo]
Alt.R3 [in hydras.Epsilon0.Epsilon0rpo]
Alt.R4 [in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size3 [in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size2 [in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size1 [in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars.eq_variable_dec [in hydras.Epsilon0.Epsilon0rpo]
Alt.well_founded_rpo [in hydras.Epsilon0.Epsilon0rpo]
AM_power_Ok [in additions.AM]
andE1 [in hydras.Ackermann.LNN]
andE1 [in hydras.Ackermann.LNT]
andE1 [in hydras.Ackermann.folLogic]
andE2 [in hydras.Ackermann.LNN]
andE2 [in hydras.Ackermann.LNT]
andE2 [in hydras.Ackermann.folLogic]
andI [in hydras.Ackermann.LNN]
andI [in hydras.Ackermann.LNT]
andI [in hydras.Ackermann.folLogic]
andRelPR [in hydras.Ackermann.primRec]
andSym [in hydras.Ackermann.LNN]
andSym [in hydras.Ackermann.LNT]
andSym [in hydras.Ackermann.folLogic]
approx_ok [in hydras.Epsilon0.Canon]
ap_plusR [in hydras.Epsilon0.T1]
ap_plus [in hydras.Epsilon0.T1]
ap_cases [in hydras.OrdinalNotations.ON_Omega2]
AP_plus_AP [in hydras.Schutte.AP]
AP_to_phi0 [in hydras.Schutte.AP]
AP_phi0 [in hydras.Schutte.AP]
AP_o_segment [in hydras.Schutte.AP]
AP_closed [in hydras.Schutte.AP]
AP_sup [in hydras.Schutte.AP]
AP_unbounded [in hydras.Schutte.AP]
AP_unbounded_0 [in hydras.Schutte.AP]
AP_mult_fin_r_closed [in hydras.Schutte.AP]
AP_mult_Sn_closed [in hydras.Schutte.AP]
AP_plus_closed [in hydras.Schutte.AP]
AP_finite_eq_one [in hydras.Schutte.AP]
AP_omega [in hydras.Schutte.AP]
AP_one [in hydras.Schutte.AP]
ap_ref [in gaia_hydras.T1Bridge]
Axm [in hydras.Ackermann.LNN]
Axm [in hydras.Ackermann.LNT]
Axm [in hydras.Ackermann.folLogic]
axp_scheme_length1 [in additions.Addition_Chains]
axp_correct [in additions.Addition_Chains]
A_full [in hydras.Schutte.Critical]
A_Cr [in hydras.Schutte.Critical]
A_closed [in hydras.Schutte.Ordering_Functions]
A_denum [in hydras.Schutte.Ordering_Functions]
A1_A2 [in hydras.Schutte.Ordering_Functions]
A2_A1 [in hydras.Schutte.Ordering_Functions]

B

Bad.correct_exp_too_strong [in additions.FirstSteps]
Bad.F3_correct [in additions.Euclidean_Chains]
Bad.height_lt_size [in hydras.Hydra.Hydra_Examples]
Bad.mul_not_associative [in additions.FirstSteps]
Bad.one_not_neutral [in additions.FirstSteps]
Bad2.Fcompose_correct [in additions.Euclidean_Chains]
Bad4.F23_ok [in additions.Euclidean_Chains]
battle_length_std_Hardy [in hydras.Hydra.Hydra_Theorems]
battle_length_std [in hydras.Hydra.Battle_length]
battle_example [in hydras.Hydra.KP_example]
Bbeta_denum [in hydras.Schutte.Ordering_Functions]
betaEquiv [in Goedel.PRrepresentable]
betaRepresentable [in Goedel.PRrepresentable]
betaThm2 [in Goedel.PRrepresentable]
betaThm3 [in Goedel.PRrepresentable]
betaThm4 [in Goedel.PRrepresentable]
betaThm5 [in Goedel.PRrepresentable]
beta_def [in Goedel.PRrepresentable]
Bigstep [in hydras.Hydra.BigBattle]
big_to_small [in hydras.Hydra.Epsilon0_Needed_Free]
big_to_small [in hydras.Hydra.Omega2_Small]
big_to_small [in hydras.Hydra.Omega_Small]
binary_power_mult_ok [in additions.Pow_variant]
binary_power_mult_ok [in additions.Pow]
binary_chain_length [in additions.Addition_Chains]
binary_generator_not_optimal [in additions.Addition_Chains]
binary_generator_correct [in additions.Addition_Chains]
binary_correct [in additions.Addition_Chains]
bin_pow_scheme_length1 [in additions.Addition_Chains]
bitsP [in additions.fib]
bits_cat [in additions.fib]
bool_eq_iff [in hydras.Epsilon0.T1]
bool_decide_eq_false [in hydras.Prelude.STDPP_compat]
bool_decide_eq_true [in hydras.Prelude.STDPP_compat]
boundComputationMonotone [in hydras.Ackermann.codeSubFormula]
boundedCheck [in hydras.Prelude.MoreDecidable]
boundedLT [in hydras.Ackermann.NNtheory]
boundedSearch1 [in hydras.Ackermann.primRec]
boundedSearch2 [in hydras.Ackermann.primRec]
boundedSearch3 [in hydras.solutions_exercises.isqrt]
boundedSearch4 [in hydras.solutions_exercises.isqrt]
boundMakeTrace [in hydras.Ackermann.codeSubFormula]
boundSubFormulaHelp [in hydras.Ackermann.codeSubFormula]
boundSubFormulaHelp1 [in hydras.Ackermann.codeSubFormula]
boundSubFormulaHelp2 [in hydras.Ackermann.codeSubFormula]
boundSubTerm [in hydras.Ackermann.codeSubFormula]
boundSubTerms [in hydras.Ackermann.codeSubFormula]
but_last_iota_from' [in hydras.Prelude.MoreLists]
but_last_app [in hydras.Prelude.MoreLists]
but_last_shift' [in hydras.Prelude.MoreLists]
but_last_interval [in hydras.Prelude.MoreLists]
but_last_iota_from [in hydras.Prelude.MoreLists]

C

call_lt_wf [in hydras.Epsilon0.F_alpha]
CanonSSn [in hydras.Epsilon0.Canon]
canonS_rel_rounds [in hydras.Hydra.O2H]
canonS_iota [in hydras.Hydra.O2H]
canonS_iota_i [in hydras.Hydra.O2H]
canonS_iota_final [in hydras.Hydra.O2H]
canonS_iota_6 [in hydras.Hydra.O2H]
canonS_iota_5 [in hydras.Hydra.O2H]
canonS_iota_4 [in hydras.Hydra.O2H]
canonS_ocons_succE [in gaia_hydras.GCanon]
canonS_zero_inv [in gaia_hydras.GCanon]
canonS_phi0_succE [in gaia_hydras.GCanon]
canonS_cons_not_zero [in gaia_hydras.GCanon]
canonS_lt [in gaia_hydras.GCanon]
canonS_LE [in gaia_hydras.GCanon]
CanonS_phi0_Succ [in hydras.Epsilon0.Canon]
CanonS_lt [in hydras.Epsilon0.Canon]
CanonS_phi0_lim [in hydras.Epsilon0.Canon]
canonS_LE [in hydras.Epsilon0.Canon]
canonS_limit_mono [in hydras.Epsilon0.Canon]
canonS_limit_lub [in hydras.Epsilon0.Canon]
canonS_limit_strong [in hydras.Epsilon0.Canon]
canonS_cons_not_zero [in hydras.Epsilon0.Canon]
canonS_LT [in hydras.Epsilon0.Canon]
canonS_zero_inv [in hydras.Epsilon0.Canon]
canonS_cons_succ_eqn2 [in hydras.Epsilon0.Canon]
canonS_phi0_succ_eqn [in hydras.Epsilon0.Canon]
canonS_succ [in hydras.Epsilon0.Canon]
canonS_lim2 [in hydras.Epsilon0.Canon]
canonS_lim1 [in hydras.Epsilon0.Canon]
CanonS_Phi0_Succ_eqn [in hydras.Epsilon0.Paths]
CanonS_plus_1 [in hydras.Epsilon0.Paths]
canon_limit_of [in gaia_hydras.GCanon]
canon_limit_mono [in gaia_hydras.GCanon]
canon_limit_strong [in gaia_hydras.GCanon]
canon_lim3 [in gaia_hydras.GCanon]
canon_lim2 [in gaia_hydras.GCanon]
canon_tail [in gaia_hydras.GCanon]
canon_lim1 [in gaia_hydras.GCanon]
canon_SSn_zero [in gaia_hydras.GCanon]
canon_lt [in gaia_hydras.GCanon]
canon_succ [in gaia_hydras.GCanon]
canon_not_null [in hydras.Epsilon0.Large_Sets]
Canon_of_limit_not_null [in hydras.Epsilon0.Canon]
Canon_lt [in hydras.Epsilon0.Canon]
Canon_Omega [in hydras.Epsilon0.Canon]
Canon_Succ [in hydras.Epsilon0.Canon]
canon_limit_mono [in hydras.Epsilon0.Canon]
canon_limit_strong [in hydras.Epsilon0.Canon]
canon_lt [in hydras.Epsilon0.Canon]
canon_LT [in hydras.Epsilon0.Canon]
canon_SSn_zero [in hydras.Epsilon0.Canon]
canon_succ [in hydras.Epsilon0.Canon]
canon_lim3 [in hydras.Epsilon0.Canon]
canon_lim2 [in hydras.Epsilon0.Canon]
canon_lim1 [in hydras.Epsilon0.Canon]
canon_tail [in hydras.Epsilon0.Canon]
canon_zero [in hydras.Epsilon0.Canon]
Canon_plus_first_step_lim [in hydras.Epsilon0.Paths]
Canon_plus_first_step [in hydras.Epsilon0.Paths]
Canon_mono1 [in hydras.Epsilon0.Paths]
Canon_plus_inv [in hydras.Epsilon0.Paths]
canon0_lt [in gaia_hydras.GCanon]
canon0_phi0_succE [in gaia_hydras.GCanon]
canon0_LT [in hydras.Epsilon0.Canon]
canon0_cons_succ_eqn2 [in hydras.Epsilon0.Canon]
canon0_phi0_succ_eqn [in hydras.Epsilon0.Canon]
canon0_succ [in hydras.Epsilon0.Canon]
canon0_lim2 [in hydras.Epsilon0.Canon]
CantorOrdinal.addC_CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_normal [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le4 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_inj [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_le1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_simpl1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_to_cons [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_fin_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.add_int [in gaia_hydras.nfwfgaia]
CantorOrdinal.add1Nfin [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr4 [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr2CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.ap_pr0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.cantorCE2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.cantorCE3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_CE1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_unique [in gaia_hydras.nfwfgaia]
CantorOrdinal.cantor_exists [in gaia_hydras.nfwfgaia]
CantorOrdinal.div_by_omega_pr [in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_eq1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_eq0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_1n [in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_mul [in gaia_hydras.nfwfgaia]
CantorOrdinal.expF_add [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_add [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_eq1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_eq0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_1n [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_n0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expO_mul1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expx_nat [in gaia_hydras.nfwfgaia]
CantorOrdinal.expx_pnat [in gaia_hydras.nfwfgaia]
CantorOrdinal.expx0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expx1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.expx1CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_prod [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_sum [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_FO [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_consCE1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_int [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_eq1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_eq0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp0nz [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp00 [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp1x [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp2omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.ex_middle_pick [in gaia_hydras.nfwfgaia]
CantorOrdinal.fincP [in gaia_hydras.nfwfgaia]
CantorOrdinal.fooCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.head_lt_cons [in gaia_hydras.nfwfgaia]
CantorOrdinal.le_succ_succE [in gaia_hydras.nfwfgaia]
CantorOrdinal.le_succ_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_prop [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_lub [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_CE1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_unique1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_pr [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_pr1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_4 [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_le_1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_succE [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ2CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_succ_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.lt_not_wf [in gaia_hydras.nfwfgaia]
CantorOrdinal.minus_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.minus_lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.min_exists [in gaia_hydras.nfwfgaia]
CantorOrdinal.mulA [in gaia_hydras.nfwfgaia]
CantorOrdinal.mulnf0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_pr3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega2_pr1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_pr1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_sum_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_omega_limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_int_limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_fin_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_distr [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_phi0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_int [in gaia_hydras.nfwfgaia]
CantorOrdinal.mul_na [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_exp [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_expF [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_expO [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_prod [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_sum [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev_unique [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_rev [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_revCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_div_by_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_mul [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_toNF [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_omega_plus_n [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_sub [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_add [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_pred [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_log [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_phi0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_finite [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_split [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_Wf' [in gaia_hydras.nfwfgaia]
CantorOrdinal.nf_Wf [in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_compose [in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.normal_id [in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower_unbounded [in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower_nf [in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_minus_one [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_log [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_lt1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0_lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.plus_int_Ox [in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_mon1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.pow_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_succ_CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.pred_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_add [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_limit1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_pred [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_finite [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_is_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.split_limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1rCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_nzCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_nz [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1r [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_pr [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_le1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_int [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_1bCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub_1aCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1a [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1b [in gaia_hydras.nfwfgaia]
CantorOrdinal.sub1Nfin [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_is_add_one [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_injCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_inj [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_p1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_predCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_pred [in gaia_hydras.nfwfgaia]
CantorOrdinal.succ_lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_Oalpha_zero [in gaia_hydras.nfwfgaia]
CantorOrdinal.sup_unique [in gaia_hydras.nfwfgaia]
CantorOrdinal.tail_lt_cons [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_pred [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_ex2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_ex1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_mon [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_nf [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF_nz [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addA [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addn0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1addS [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add_eq0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add0n [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ap_phi0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eqE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eqP [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_mul2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_add2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite2CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1F_inj [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ge1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leNgt [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lenn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1len0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leP [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmull [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mulCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulrl [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulrCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_pmulr [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul2r [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_mul2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_add2r [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_add2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_cons_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_trans [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_lt_trans [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_total [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_consE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le_eqVlt [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le0n [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_exp0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_prod [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log_phi0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltgtP [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltNge [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltnn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltn0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltP [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltW [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_mul2r [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_mul2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_add2r [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_add2l [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_cons_le [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_le_trans [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_trans [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_anti [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_trichotomy [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_neAle [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_ne' [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt_ne [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt0n [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1muln1_CE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_eq1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul_eq0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul0n [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul1n [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul1nCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nat_inc [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nfCE [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_rect [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_finite [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_finite1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_consb [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_consa [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_cons_cons [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf_cons0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1phi0_zero' [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1phi0_zero [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1subnn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1subn0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1sub0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1succ_nat [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1transfinite_induction_Q [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1transfinite_induction [in gaia_hydras.nfwfgaia]
Cantor_normal_form [in hydras.Epsilon0.T1]
cases_for_mult [in hydras.Epsilon0.T1]
case_Eq [in hydras.Schutte.Correctness_E0]
case_gt [in hydras.Schutte.Correctness_E0]
case_lt [in hydras.Schutte.Correctness_E0]
chain_gen_OK [in additions.AM]
chain_gen_OK [in additions.Euclidean_Chains]
checkPrfCorrect1 [in hydras.Ackermann.checkPrf]
checkPrfCorrect2 [in hydras.Ackermann.checkPrf]
checkPrfEQnIsPR [in hydras.Ackermann.checkPrf]
checkTraceCorrect [in hydras.Ackermann.codeSubFormula]
classification [in hydras.Schutte.Schutte_basics]
closedNatToTerm [in hydras.Ackermann.LNN]
closedNatToTerm [in hydras.Ackermann.LNT]
closedNN [in hydras.Ackermann.NN]
closedNN1 [in hydras.Ackermann.NN]
closedPA [in hydras.Ackermann.PA]
closedPA1 [in hydras.Ackermann.PA]
closedT [in hydras.Ackermann.expressible]
Closed_Cr [in hydras.Schutte.Critical]
cnf_of_epsilon0 [in hydras.Schutte.CNF]
cnf_lt_epsilon0 [in hydras.Schutte.CNF]
cnf_exists_unique [in hydras.Schutte.CNF]
cnf_unicity [in hydras.Schutte.CNF]
cnf_exists [in hydras.Schutte.CNF]
cnf_plus [in hydras.Schutte.CNF]
cnf_plus2 [in hydras.Schutte.CNF]
cnf_plus1 [in hydras.Schutte.CNF]
cnf_eq [in hydras.Schutte.CNF]
cnf_head_eq [in hydras.Schutte.CNF]
cnf_of_ap [in hydras.Schutte.CNF]
cnf_Cons [in hydras.Epsilon0.E0]
cnf_Omega_term [in hydras.Epsilon0.E0]
cnf_Succ [in hydras.Epsilon0.E0]
cnf_phi0 [in hydras.Epsilon0.E0]
cnf_rw [in hydras.Epsilon0.E0]
codeAndCorrect [in hydras.Ackermann.code]
codeAppCorrect [in hydras.Ackermann.codeList]
codeArityLNNFIsCorrect1 [in hydras.Ackermann.Languages]
codeArityLNNFIsCorrect2 [in hydras.Ackermann.Languages]
codeArityLNNRIsCorrect1 [in hydras.Ackermann.Languages]
codeArityLNNRIsCorrect2 [in hydras.Ackermann.Languages]
codeArityLNTFIsCorrect1 [in hydras.Ackermann.Languages]
codeArityLNTFIsCorrect2 [in hydras.Ackermann.Languages]
codeArityLNTRIsCorrect1 [in hydras.Ackermann.Languages]
codeArityLNTRIsCorrect2 [in hydras.Ackermann.Languages]
codeCloseCorrect [in hydras.Ackermann.codePA]
codeCloseListCorrect [in hydras.Ackermann.codePA]
codeForallCorrect [in hydras.Ackermann.code]
codeForallIsPR [in hydras.Ackermann.prLogic]
codeFormulaInj [in hydras.Ackermann.code]
codeFreeVarFormulaCorrect [in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormulaCorrect [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermCorrect [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermIsPR [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermsCorrect [in hydras.Ackermann.codeFreeVar]
codeIffCorrect [in hydras.Ackermann.code]
codeImpCorrect [in hydras.Ackermann.code]
codeInCorrect [in hydras.Ackermann.codeList]
codeInductionSchemaCorrect1 [in hydras.Ackermann.codePA]
codeInductionSchemaCorrect2 [in hydras.Ackermann.codePA]
codeInductionSchemaCorrect3 [in hydras.Ackermann.codePA]
codeLengthCorrect [in hydras.Ackermann.codeList]
codeListInj [in hydras.Ackermann.cPair]
codeListRemoveCorrect [in hydras.Ackermann.codeList]
codeLNNRelationInj [in hydras.Ackermann.Languages]
codeLNTFunctionInj [in hydras.Ackermann.Languages]
codeLNTRelationInj [in hydras.Ackermann.Languages]
codeNatToTermCorrectLNN [in hydras.Ackermann.codeNatToTerm]
codeNatToTermCorrectLNT [in hydras.Ackermann.codeNatToTerm]
codeNewVarCorrect [in hydras.Ackermann.codeSubFormula]
codeNoDupCorrect [in hydras.Ackermann.codeList]
codeNotCorrect [in hydras.Ackermann.code]
codeNthCorrect [in hydras.Ackermann.cPair]
codeNVarsCorrect [in hydras.Ackermann.checkPrf]
codeOpenCorrect [in hydras.Ackermann.codePA]
codeOrCorrect [in hydras.Ackermann.code]
codePAcorrect1 [in hydras.Ackermann.codePA]
codePAcorrect2 [in hydras.Ackermann.codePA]
codePAcorrect3 [in hydras.Ackermann.codePA]
codePrfInjAxm [in hydras.Ackermann.code]
codeSubFormulaCorrect [in hydras.Ackermann.codeSubFormula]
codeSubTermCorrect [in hydras.Ackermann.codeSubTerm]
codeSubTermsCorrect [in hydras.Ackermann.codeSubTerm]
codeSubTermsIsPR [in hydras.Ackermann.codeSubTerm]
codeSysPfCorrect [in Goedel.codeSysPrf]
codeSysPrfCorrect1 [in Goedel.codeSysPrf]
codeSysPrfCorrect2 [in Goedel.codeSysPrf]
codeSysPrfCorrect3 [in Goedel.codeSysPrf]
codeSysPrfNCorrect1 [in Goedel.codeSysPrf]
codeSysPrfNCorrect2 [in Goedel.codeSysPrf]
codeSysPrfNCorrect3 [in Goedel.codeSysPrf]
codeTermFreeVar [in hydras.Ackermann.codeSubFormula]
codeTermInj [in hydras.Ackermann.code]
codeTermsInj [in hydras.Ackermann.code]
coeff_lt [in hydras.Epsilon0.T1]
coeff_lt [in hydras.Schutte.Correctness_E0]
compare_reflectR [in hydras.Epsilon0.T1]
compare_of_phi0 [in hydras.Epsilon0.T1]
compare_fin_rw [in hydras.Epsilon0.T1]
compare_lt_iff [in hydras.Epsilon0.T1]
compare_lt_impl [in hydras.Epsilon0.T1]
compare_eq_iff [in hydras.Epsilon0.T1]
compare_refl [in hydras.Epsilon0.T1]
compare_correct [in hydras.Epsilon0.T1]
compare_reflect [in hydras.Epsilon0.T1]
compare_rev [in hydras.Epsilon0.T1]
compare_cons [in hydras.Epsilon0.T1]
compare_correct [in hydras.OrdinalNotations.ON_Omega2]
compare_reflect [in hydras.OrdinalNotations.ON_Omega2]
compare_reflect [in hydras.Prelude.Comparable]
compare_trans [in hydras.Prelude.Comparable]
compare_ge_iff [in hydras.Prelude.Comparable]
compare_le_iff [in hydras.Prelude.Comparable]
compare_le_iff_refl [in hydras.Prelude.Comparable]
compare_gt_not_lt [in hydras.Prelude.Comparable]
compare_lt_not_gt [in hydras.Prelude.Comparable]
compare_gt_trans [in hydras.Prelude.Comparable]
compare_gt_irrefl [in hydras.Prelude.Comparable]
compare_gt_iff [in hydras.Prelude.Comparable]
compare_eq_trans [in hydras.Prelude.Comparable]
compare_refl [in hydras.Prelude.Comparable]
compare_eq_iff [in hydras.Prelude.Comparable]
compare_lt_irrefl [in hydras.Prelude.Comparable]
compare_lt_trans [in hydras.Prelude.Comparable]
compare_lt_iff [in hydras.Prelude.Comparable]
compare_reflect [in hydras.OrdinalNotations.ON_O]
compare_correct [in hydras.OrdinalNotations.ON_O]
compare_h2g [in gaia_hydras.T1Bridge]
compare_g2h [in gaia_hydras.T1Bridge]
compare_ref [in gaia_hydras.T1Bridge]
compare_correct [in hydras.OrdinalNotations.ON_mult]
compare_reflect [in hydras.OrdinalNotations.ON_mult]
compare_correct [in hydras.OrdinalNotations.ON_plus]
compare_reflect [in hydras.OrdinalNotations.ON_plus]
compare_reflect [in hydras.OrdinalNotations.ON_Finite]
compare_correct [in hydras.OrdinalNotations.ON_Finite]
compare_correct [in hydras.Epsilon0.E0]
compare_rw_gt [in hydras.Gamma0.Gamma0]
compare_rw_eq [in hydras.Gamma0.Gamma0]
compare_rw_lt [in hydras.Gamma0.Gamma0]
compare_Gt [in hydras.Gamma0.Gamma0]
compare_Eq [in hydras.Gamma0.Gamma0]
compare_Lt [in hydras.Gamma0.Gamma0]
compare_correct [in hydras.Gamma0.Gamma0]
compare_reflect [in hydras.Gamma0.Gamma0]
Compat815.le_not_lt [in hydras.Prelude.Compat815]
Compat815.le_plus_r [in hydras.Prelude.Compat815]
Compat815.le_lt_n_Sm [in hydras.Prelude.Compat815]
Compat815.le_lt_or_eq [in hydras.Prelude.Compat815]
Compat815.le_n_0_eq [in hydras.Prelude.Compat815]
Compat815.lt_not_le [in hydras.Prelude.Compat815]
Compat815.lt_n_S [in hydras.Prelude.Compat815]
Compat815.lt_S_n [in hydras.Prelude.Compat815]
Compat815.lt_n_Sm_le [in hydras.Prelude.Compat815]
Compat815.mult_O_le [in hydras.Prelude.Compat815]
Compat815.n_SSn [in hydras.Prelude.Compat815]
Compat815.n_SSSn [in hydras.Prelude.Compat815]
Compat815.plus_Snm_nSm [in hydras.Prelude.Compat815]
composeSigmaRepresentable [in Goedel.PRrepresentable]
compose2_3 [in hydras.MoreAck.PrimRecExamples]
compose2_2 [in hydras.MoreAck.PrimRecExamples]
compose2_1 [in hydras.MoreAck.PrimRecExamples]
compose2_0 [in hydras.MoreAck.PrimRecExamples]
computation_eval_rw [in additions.Addition_Chains]
computeEvalStrongRecHelp [in hydras.Ackermann.cPair]
constant_to_standard_path [in gaia_hydras.GPaths]
constant_to_standard_path [in hydras.Epsilon0.Paths]
constant_to_standard [in hydras.Epsilon0.Paths]
constant_to_standard_0 [in hydras.Epsilon0.Paths]
consTerms [in hydras.Ackermann.fol]
const_pathS_LT' [in hydras.Epsilon0.Paths]
const_pathS_eps_zero [in hydras.Epsilon0.Paths]
const_pathS_first_step [in hydras.Epsilon0.Paths]
const_pathS_eps_LE_2 [in hydras.Epsilon0.Paths]
const_pathS_eps_trans [in hydras.Epsilon0.Paths]
const_pathS_trans [in hydras.Epsilon0.Paths]
const_pathS_inv_strong [in hydras.Epsilon0.Paths]
const_pathS_inv [in hydras.Epsilon0.Paths]
const_pathS_LE [in hydras.Epsilon0.Paths]
const_path_LT [in hydras.Epsilon0.Paths]
const_pathS_LT [in hydras.Epsilon0.Paths]
const_pathS_zero [in hydras.Epsilon0.Paths]
const_pathS_nf [in hydras.Epsilon0.Paths]
const_pathS_repeatR [in hydras.Epsilon0.Paths]
const_pathS_repeat [in hydras.Epsilon0.Paths]
const_pathSE [in hydras.Epsilon0.Paths]
cons_def [in hydras.Epsilon0.T1]
cons_nf [in hydras.Epsilon0.T1]
cons_standard_path [in hydras.Epsilon0.Paths]
cons_standard_pathS [in hydras.Epsilon0.Paths]
cons_lt_epsilon0 [in hydras.Gamma0.Gamma0]
cons_rw [in hydras.Gamma0.Gamma0]
contrad [in hydras.solutions_exercises.MultisetWf]
contrad [in hydras.solutions_exercises.T1_ltNotWf]
contradiction [in hydras.Ackermann.LNN]
contradiction [in hydras.Ackermann.LNT]
contradiction [in hydras.Ackermann.folLogic]
Contradiction [in hydras.Hydra.Omega_Small]
correct_app [in additions.AM]
Cor12 [in gaia_hydras.GPaths]
Cor12 [in hydras.Epsilon0.Paths]
Cor12_E0 [in hydras.Epsilon0.Paths]
Cor12_3 [in hydras.Epsilon0.Paths]
Cor12_2 [in hydras.Epsilon0.Paths]
Cor12_1 [in hydras.Epsilon0.Paths]
countable_members [in hydras.Schutte.Schutte_basics]
countable_not_Unbounded [in hydras.Schutte.Schutte_basics]
countable_segment_proper [in hydras.Schutte.Ordering_Functions]
countable_image [in hydras.Schutte.Countable]
countable_bij_funR [in hydras.Schutte.Countable]
countable_bij_fun [in hydras.Schutte.Countable]
countable_surj [in hydras.Schutte.Countable]
counter_ex [in hydras.solutions_exercises.schutte_cnf_counter_example]
cPairInjHelp [in hydras.Ackermann.cPair]
cPairInj1 [in hydras.Ackermann.cPair]
cPairInj2 [in hydras.Ackermann.cPair]
cPairLemma1 [in hydras.Ackermann.cPair]
cPairLe1 [in hydras.Ackermann.cPair]
cPairLe1A [in hydras.Ackermann.cPair]
cPairLe2 [in hydras.Ackermann.cPair]
cPairLe2A [in hydras.Ackermann.cPair]
cPairLe3 [in hydras.Ackermann.cPair]
cPairLt1 [in hydras.Ackermann.cPair]
cPairLt2 [in hydras.Ackermann.cPair]
cPairProjections [in hydras.Ackermann.cPair]
cPairProjectionsHelp [in hydras.Ackermann.cPair]
cPairProjections1 [in hydras.Ackermann.cPair]
cPairProjections2 [in hydras.Ackermann.cPair]
cp1 [in hydras.Ackermann.LNN]
cp1 [in hydras.Ackermann.LNT]
cp1 [in hydras.Ackermann.folLogic]
cp2 [in hydras.Ackermann.LNN]
cp2 [in hydras.Ackermann.LNT]
cp2 [in hydras.Ackermann.folLogic]
Cr_1_iff [in hydras.Schutte.Critical]
Cr_incl [in hydras.Schutte.Critical]
Cr_lt [in hydras.Schutte.Critical]
Cr_pos_iff [in hydras.Schutte.Critical]
Cr_pos_inv [in hydras.Schutte.Critical]
Cr_zero_AP [in hydras.Schutte.Critical]
Cr_zero_inv [in hydras.Schutte.Critical]
Cr_pos [in hydras.Schutte.Critical]
Cr_zero [in hydras.Schutte.Critical]
Cr_inv [in hydras.Schutte.Critical]
Cr_equation [in hydras.Schutte.Critical]
Cr_extensional [in hydras.Schutte.Critical]
cst_correct [in hydras.MoreAck.PrimRecExamples]
cst0_correct [in hydras.MoreAck.PrimRecExamples]
cTripleProj [in hydras.Ackermann.cPair]
cTripleProj1 [in hydras.Ackermann.cPair]
cTripleProj2 [in hydras.Ackermann.cPair]
cTripleProj3 [in hydras.Ackermann.cPair]
C87_ok' [in additions.Addition_Chains]

D

decideAxioms [in Goedel.rosserPA]
decideAxioms [in Goedel.rosser]
decide_hltE [in gaia_hydras.T1Bridge]
decomp [in hydras.Prelude.MoreVectors]
decompose [in hydras.OrdinalNotations.ON_Omega2]
decompos2 [in hydras.Prelude.MoreVectors]
decomp1 [in hydras.Prelude.MoreVectors]
decomp2 [in hydras.Prelude.MoreVectors]
decr_seq [in hydras.solutions_exercises.MultisetWf]
DeductionTheorem [in hydras.Ackermann.Deduction]
den_U [in hydras.Schutte.Ordering_Functions]
depthForall [in hydras.Ackermann.fol]
depthImp1 [in hydras.Ackermann.fol]
depthImp2 [in hydras.Ackermann.fol]
depthNot [in hydras.Ackermann.fol]
dicho_gt [in additions.Dichotomy]
dicho_lt [in additions.Dichotomy]
dicho_aux_gt [in additions.Dichotomy]
dicho_aux_lt [in additions.Dichotomy]
dicho_aux_le_xIXI [in additions.Dichotomy]
dicho_aux_le_xIXO [in additions.Dichotomy]
dicho_aux_le_xOXI [in additions.Dichotomy]
dicho_aux_le_xOXO [in additions.Dichotomy]
dicho_aux_xIxI [in additions.Dichotomy]
dicho_aux_xIxO [in additions.Dichotomy]
dicho_aux_xOxI [in additions.Dichotomy]
dicho_aux_xOxO [in additions.Dichotomy]
diffP [in gaia_hydras.GPrelude]
Direct_proof.nf_Acc [in hydras.Epsilon0.T1]
Direct_proof.Acc_implies_Acc_strong [in hydras.Epsilon0.T1]
Direct_proof.Acc_strong_stronger [in hydras.Epsilon0.T1]
Direct_proof.acc_impl [in hydras.Epsilon0.T1]
Direct_proof.wf_LT [in hydras.Epsilon0.T1]
Direct_proof.Acc_zero [in hydras.Epsilon0.T1]
div_eucl_unique [in hydras.Prelude.More_Arith]
div_not_qlt [in hydras.Prelude.More_Arith]
div_gamma_pos [in additions.Strategies]
div2_even_plus [in hydras.Prelude.More_Arith]
div2_incr [in hydras.Prelude.More_Arith]
div2_of_Even [in hydras.Prelude.More_Arith]
div2_double_is_id [in hydras.Prelude.More_Arith]
dominates_iterate [in hydras.Prelude.Iterates]
dominates_from_le [in hydras.Prelude.Iterates]
dominates_trans_strong [in hydras.Prelude.Iterates]
dominates_trans [in hydras.Prelude.Iterates]
dominates_from_trans [in hydras.Prelude.Iterates]
dom_AckNotPR [in hydras.MoreAck.AckNotPR]
Done [in hydras.Hydra.BigBattle]
doubleIsPR [in hydras.solutions_exercises.MorePRExamples]
doubleS_law [in hydras.Hydra.BigBattle]
double_is_even [in hydras.Prelude.More_Arith]
double_inj [in hydras.Prelude.More_Arith]
double_plus [in hydras.Prelude.More_Arith]
double_S [in hydras.Prelude.More_Arith]
DS_iota_3 [in hydras.Hydra.O2H]
DS_iota_2 [in hydras.Hydra.O2H]
DS_iota_1 [in hydras.Hydra.O2H]

E

embedding [in hydras.Schutte.Correctness_E0]
empty_interval [in hydras.Prelude.MoreLists]
empty_ordering [in hydras.Schutte.Ordering_Functions]
epsilon_equiv [in hydras.Schutte.MoreEpsilonIota]
epsilon_ind [in hydras.Schutte.MoreEpsilonIota]
epsilon_fxp [in hydras.Gamma0.Gamma0]
epsilon0_Cr1 [in hydras.Schutte.Critical]
epsilon0_lfp [in hydras.Schutte.AP]
epsilon0_AP [in hydras.Schutte.AP]
epsilon0_fxp [in hydras.Schutte.AP]
epsilon0_as_lub [in hydras.Gamma0.Gamma0]
epsilon0_fxp [in hydras.Gamma0.Gamma0]
eqDepth [in hydras.Ackermann.fol]
eqLT [in hydras.Ackermann.LNN]
eqn_simpl2 [in gaia_hydras.nfwfgaia]
eqn_simpl1 [in gaia_hydras.nfwfgaia]
eqPlus [in hydras.Ackermann.LNN]
eqPlus [in hydras.Ackermann.LNT]
eqRefl [in hydras.Ackermann.LNN]
eqRefl [in hydras.Ackermann.LNT]
eqRefl [in hydras.Ackermann.folLogic3]
eqSucc [in hydras.Ackermann.LNN]
eqSucc [in hydras.Ackermann.LNT]
eqSym [in hydras.Ackermann.LNN]
eqSym [in hydras.Ackermann.LNT]
eqSym [in hydras.Ackermann.folLogic3]
eqTimes [in hydras.Ackermann.LNN]
eqTimes [in hydras.Ackermann.LNT]
eqTrans [in hydras.Ackermann.LNN]
eqTrans [in hydras.Ackermann.LNT]
eqTrans [in hydras.Ackermann.folLogic3]
equalFunction [in hydras.Ackermann.folLogic3]
equalRelation [in hydras.Ackermann.folLogic3]
equiv_not_lt [in hydras.Prelude.DecPreOrder]
eq_succ_lt [in hydras.Epsilon0.T1]
eq_succ_LT [in hydras.Epsilon0.T1]
eq_dec [in hydras.OrdinalNotations.ON_Omega2]
eq_dec [in hydras.OrdinalNotations.ON_Omega_plus_omega]
eq_le [in hydras.Schutte.Schutte_basics]
Euc1 [in hydras.Prelude.More_Arith]
evalListComp [in hydras.MoreAck.AckNotPR]
evalListCompose2 [in hydras.MoreAck.AckNotPR]
evalListPrimrec_S [in hydras.MoreAck.AckNotPR]
evalListPrimrec_0 [in hydras.MoreAck.AckNotPR]
evalList_Const [in hydras.MoreAck.AckNotPR]
evalPrimRecParam [in hydras.Ackermann.primRec]
evalProjFuncInd [in hydras.Ackermann.primRec]
evalStrongRecHelpParam [in hydras.Ackermann.cPair]
evalStrongRecHelp1 [in hydras.Ackermann.cPair]
evalStrongRecHelp2 [in hydras.Ackermann.cPair]
even_prod [in hydras.Prelude.More_Arith]
every_battle_terminates [in hydras.Hydra.Hydra_Termination]
every_battle_terminates [in gaia_hydras.GHydra]
exact_log2_spec [in additions.More_on_positive]
exact_log2xOx0 [in additions.More_on_positive]
Examples.big_correct''' [in additions.Euclidean_Chains]
Examples.big_correct' [in additions.Euclidean_Chains]
Examples.big_correct [in additions.Euclidean_Chains]
Examples.RM [in additions.Euclidean_Chains]
exec_equiv [in additions.AM]
exec_app [in additions.AM]
existE [in hydras.Ackermann.LNN]
existE [in hydras.Ackermann.LNT]
existE [in hydras.Ackermann.folLogic]
existI [in hydras.Ackermann.LNN]
existI [in hydras.Ackermann.LNT]
existI [in hydras.Ackermann.folLogic]
existSimp [in hydras.Ackermann.LNN]
existSimp [in hydras.Ackermann.LNT]
existSimp [in hydras.Ackermann.folLogic]
existSys [in hydras.Ackermann.LNN]
existSys [in hydras.Ackermann.LNT]
existSys [in hydras.Ackermann.folLogic]
exists_map12_without_repetition [in hydras.rpo.more_list]
exists_map_without_repetition [in hydras.rpo.more_list]
ExNotIncl [in hydras.OrdinalNotations.ON_Omega_plus_omega]
exponents_lt_eval [in hydras.Schutte.CNF]
exponent_pos_of_nat [in additions.Addition_Chains]
exponent_pos2nat [in additions.Addition_Chains]
exponent_nat_neq_0 [in additions.Addition_Chains]
expressibleAlternate [in hydras.Ackermann.expressible]
expressT'1 [in Goedel.rosserPA]
expressT'2 [in Goedel.rosserPA]
exp_F_eq [in hydras.Epsilon0.T1]
exp_fin_omega [in hydras.Epsilon0.T1]
exp_alt_ok [in hydras.solutions_exercises.MorePRExamples]
exp2S [in hydras.Prelude.Exp2]
exp2_as_iterate [in hydras.Prelude.Iterates]
exp2_mono_weak [in hydras.Prelude.Iterates]
exp2_mono [in hydras.Prelude.Iterates]
exp2_ge_S [in hydras.Prelude.Iterates]
exp2_k_mult_pos [in hydras.Epsilon0.Large_Sets]
exp2_mono1 [in hydras.Hydra.BigBattle]
exp2_Plus [in additions.Addition_Chains]
exp2_gt_id [in hydras.Prelude.Exp2]
exp2_not_zero [in hydras.Prelude.Exp2]
exp2_positive [in hydras.Prelude.Exp2]
extendsNN [in Goedel.rosserPA]
extEqualCompose [in hydras.Ackermann.primRec]
extEqualCompose2 [in hydras.Ackermann.primRec]
extEqualOneParamList [in hydras.Ackermann.primRec]
extEqualPrimRec [in hydras.Ackermann.primRec]
extEqualRefl [in hydras.Ackermann.extEqualNat]
extEqualSym [in hydras.Ackermann.extEqualNat]
extEqualTrans [in hydras.Ackermann.extEqualNat]
extEqualVectorRefl [in hydras.Ackermann.primRec]
E0compare_correct [in gaia_hydras.T1Bridge]
E0fin_cnf [in gaia_hydras.T1Bridge]
E0g2h_omegaE [in gaia_hydras.T1Bridge]
E0g2h_plusE [in gaia_hydras.T1Bridge]
E0g2h_mulE [in gaia_hydras.T1Bridge]
E0g2h_phi0 [in gaia_hydras.T1Bridge]
E0g2h_Fin [in gaia_hydras.T1Bridge]
E0is_succE [in gaia_hydras.T1Bridge]
E0is_succ_succ [in gaia_hydras.T1Bridge]
E0lt_wf [in hydras.Epsilon0.E0]
E0_plus_correct [in hydras.Schutte.Correctness_E0]
E0_canon_lt [in gaia_hydras.GCanon]
E0_pred_succK [in gaia_hydras.T1Bridge]
E0_diffE [in gaia_hydras.T1Bridge]
E0_eqE [in gaia_hydras.T1Bridge]
E0_g2h_h2gK [in gaia_hydras.T1Bridge]
E0_h2g_g2hK [in gaia_hydras.T1Bridge]
E0_h2g_nf [in gaia_hydras.T1Bridge]
E0_lt_ge [in hydras.Epsilon0.E0]
E0_lt_eq_lt [in hydras.Epsilon0.E0]
E0_not_Lt_zero [in hydras.Epsilon0.E0]
E0_Lt_Succ_inv [in hydras.Epsilon0.E0]
E0_Lt_irrefl [in hydras.Epsilon0.E0]
E0_pred_Lt [in hydras.Epsilon0.E0]
E0_pred_of_Succ [in hydras.Epsilon0.E0]
E0_eq_dec [in hydras.Epsilon0.E0]
E0_eq_iff [in hydras.Epsilon0.E0]
E0_eq_intro [in hydras.Epsilon0.E0]

F

F [in gaia_hydras.onType]
fact_alt_ok [in hydras.solutions_exercises.MorePRExamples]
fact_correct [in hydras.MoreAck.PrimRecExamples]
Fake_thm [in hydras.solutions_exercises.is_F_monotonous]
fastexp3P [in additions.fib]
fbij [in hydras.Schutte.Ordering_Functions]
Fcompose_correct [in additions.Euclidean_Chains]
Fcompose_correct_nat [in additions.Euclidean_Chains]
Fexp2_correct [in additions.Euclidean_Chains]
Fexp2_nat_correct [in additions.Euclidean_Chains]
FF [in hydras.Epsilon0.F_omega]
FFK_correct [in additions.AM]
FFK_correct [in additions.Euclidean_Chains]
FFK_correct_nat [in additions.Euclidean_Chains]
fibmP [in additions.fib]
fibtP [in additions.fib]
fibt_aux [in additions.fib]
fibZ2P [in additions.fib]
fibZ3P [in additions.fib]
fib_mul2_OK [in additions.Fib2]
fib_mul2_OK_0 [in additions.Fib2]
fib_SSn [in additions.Fib2]
fib_ind [in additions.Fib2]
fib_alt_Ok [in hydras.solutions_exercises.FibonacciPR]
fib_OK0 [in hydras.solutions_exercises.FibonacciPR]
find_not_mem [in hydras.rpo.more_list]
finite_ltR [in hydras.Epsilon0.T1]
finite_lt [in hydras.Epsilon0.T1]
Finite_ref [in gaia_hydras.T1Bridge]
finite_not_limit [in hydras.Schutte.Schutte_basics]
finite_lt_omega [in hydras.Schutte.Schutte_basics]
finite_inj [in hydras.Schutte.Schutte_basics]
finite_mono [in hydras.Schutte.Schutte_basics]
finite_lt_inv [in hydras.Schutte.Schutte_basics]
finite_is_finite [in hydras.Gamma0.Gamma0]
finite_plus_infinite [in hydras.Schutte.Addition]
finord_lt_wf [in gaia_hydras.ON_gfinite]
finord_compare_correct [in gaia_hydras.ON_gfinite]
FinS_Succ_eq [in hydras.Epsilon0.E0]
FinS_eq [in hydras.Epsilon0.E0]
fin_lt_omega [in hydras.Gamma0.Gamma0]
FirstIncompletenessA [in Goedel.goedel1]
FirstIncompletenessA [in Goedel.goedel2]
FirstIncompletenessB [in Goedel.goedel1]
FixPointLNN [in Goedel.fixPoint]
FixPointLNT [in Goedel.fixPoint]
FixR_F_eq [in hydras.Prelude.Restriction]
FK_correct [in additions.AM]
FK_correct [in additions.Euclidean_Chains]
flatten [in hydras.Epsilon0.Paths]
flatten_valid_2 [in additions.Addition_Chains]
flatten_valid [in additions.Addition_Chains]
flatten_aux_valid [in additions.Addition_Chains]
forallE [in hydras.Ackermann.LNN]
forallE [in hydras.Ackermann.LNT]
forallE [in hydras.Ackermann.folLogic]
forallI [in hydras.Ackermann.LNN]
forallI [in hydras.Ackermann.LNT]
forallI [in hydras.Ackermann.folLogic]
forallSimp [in hydras.Ackermann.LNN]
forallSimp [in hydras.Ackermann.LNT]
forallSimp [in hydras.Ackermann.folLogic]
forall_weak [in hydras.Prelude.Sort_spec]
Forall_forall [in hydras.Prelude.MoreVectors]
Forall_and [in hydras.Prelude.MoreVectors]
Forall_inv [in hydras.Prelude.MoreVectors]
Forall2R_iff [in hydras.Prelude.MoreLists]
Forall2R_cons [in hydras.Prelude.MoreLists]
Forall2_indR [in hydras.Prelude.MoreLists]
Forall2_RR [in hydras.Prelude.MoreLists]
Forall2_R [in hydras.Prelude.MoreLists]
Forall2_inv [in hydras.Prelude.MoreVectors]
Formula_depth_ind2 [in hydras.Ackermann.fol]
Formula_depth_rec2_forall [in hydras.Ackermann.fol]
Formula_depth_rec2_not [in hydras.Ackermann.fol]
Formula_depth_rec2_imp [in hydras.Ackermann.fol]
Formula_depth_rec2rec_nice [in hydras.Ackermann.fol]
Formula_depth_rec_indep [in hydras.Ackermann.fol]
formula_eqdec [in hydras.Ackermann.fol]
freeVarAddExists1 [in Goedel.PRrepresentable]
freeVarAddExists2 [in Goedel.PRrepresentable]
freeVarAddForalls1 [in Goedel.PRrepresentable]
freeVarAddForalls2 [in Goedel.PRrepresentable]
freeVarClosed [in hydras.Ackermann.folProp]
freeVarClosedList1 [in hydras.Ackermann.folProp]
freeVarClosedList2 [in hydras.Ackermann.folProp]
freeVarCodeSysPf [in Goedel.codeSysPrf]
freeVarCodeSysPrf [in Goedel.codeSysPrf]
freeVarCodeSysPrfN [in Goedel.codeSysPrf]
freeVarG [in Goedel.goedel1]
freeVarInterpFormula [in hydras.Ackermann.model]
freeVarInterpRel [in hydras.Ackermann.model]
freeVarInterpTerm [in hydras.Ackermann.model]
freeVarListFormulaApp [in hydras.Ackermann.folProp]
freeVarLT [in hydras.Ackermann.LNN]
freeVarMap_ext [in hydras.Ackermann.subAll]
freeVarMap1 [in hydras.Ackermann.subAll]
freeVarNNHelp [in hydras.Ackermann.model]
freeVarPlus [in hydras.Ackermann.LNN]
freeVarPlus [in hydras.Ackermann.LNT]
freeVarPrimRecPiFormulaHelp1 [in Goedel.PRrepresentable]
freeVarPrimRecSigmaFormulaHelp1 [in Goedel.PRrepresentable]
freeVarRepT' [in Goedel.rosserPA]
freeVarSubAllFormula1 [in hydras.Ackermann.subAll]
freeVarSubAllFormula2 [in hydras.Ackermann.subAll]
freeVarSubAllTerms1 [in hydras.Ackermann.subAll]
freeVarSubAllTerms2 [in hydras.Ackermann.subAll]
freeVarSubAllTerm1 [in hydras.Ackermann.subAll]
freeVarSubAllTerm2 [in hydras.Ackermann.subAll]
freeVarSubFormula1 [in hydras.Ackermann.subProp]
freeVarSubFormula2 [in hydras.Ackermann.subProp]
freeVarSubFormula3 [in hydras.Ackermann.subProp]
freeVarSubFormula4 [in hydras.Ackermann.subProp]
freeVarSubTerms1 [in hydras.Ackermann.subProp]
freeVarSubTerms2 [in hydras.Ackermann.subProp]
freeVarSubTerms3 [in hydras.Ackermann.subProp]
freeVarSubTerms4 [in hydras.Ackermann.subProp]
freeVarSubTerm1 [in hydras.Ackermann.subProp]
freeVarSubTerm2 [in hydras.Ackermann.subProp]
freeVarSubTerm3 [in hydras.Ackermann.subProp]
freeVarSubTerm4 [in hydras.Ackermann.subProp]
freeVarSucc [in hydras.Ackermann.LNN]
freeVarSucc [in hydras.Ackermann.LNT]
freeVarTApply [in hydras.Ackermann.folProp]
freeVarTimes [in hydras.Ackermann.LNN]
freeVarTimes [in hydras.Ackermann.LNT]
freeVarZero [in hydras.Ackermann.LNN]
freeVarZero [in hydras.Ackermann.LNT]
fstar_S [in hydras.Epsilon0.F_alpha]
Fstar_S [in hydras.Epsilon0.F_alpha]
FS_rw [in hydras.Epsilon0.T1]
fun_le_trans [in hydras.Prelude.Iterates]
fun_bijection_is_ZL_bijection [in hydras.Schutte.PartialFun]
fun_bijection_codomain [in hydras.Schutte.PartialFun]
F_alpha_not_PR [in gaia_hydras.GF_alpha]
F_alpha_not_PR_E0 [in gaia_hydras.GF_alpha]
F_restricted_mono_l [in gaia_hydras.GF_alpha]
F_limE [in gaia_hydras.GF_alpha]
F_succE [in gaia_hydras.GF_alpha]
F_alpha_0_eq [in gaia_hydras.GF_alpha]
F_mono_l [in gaia_hydras.GF_alpha]
F_zeroE [in gaia_hydras.GF_alpha]
F_alpha_positive [in gaia_hydras.GF_alpha]
F_alpha_Succ_le [in gaia_hydras.GF_alpha]
F_alpha_dom [in gaia_hydras.GF_alpha]
F_alpha_mono [in gaia_hydras.GF_alpha]
F_alpha_gt [in gaia_hydras.GF_alpha]
f_succ_eqn [in hydras.Epsilon0.F_alpha]
f_lim_eqn [in hydras.Epsilon0.F_alpha]
f_zero_eqn [in hydras.Epsilon0.F_alpha]
f_star_iterate [in hydras.Epsilon0.F_alpha]
f_star_Succ [in hydras.Epsilon0.F_alpha]
f_eq2 [in hydras.Epsilon0.F_alpha]
f_star_zero_eqn [in hydras.Epsilon0.F_alpha]
F_mono_l [in hydras.Epsilon0.F_alpha]
F_mono_l_0 [in hydras.Epsilon0.F_alpha]
F_restricted_mono_l [in hydras.Epsilon0.F_alpha]
F_alpha_dom [in hydras.Epsilon0.F_alpha]
F_alpha_Succ_le [in hydras.Epsilon0.F_alpha]
F_alpha_positive [in hydras.Epsilon0.F_alpha]
F_alpha_gt [in hydras.Epsilon0.F_alpha]
F_alpha_mono [in hydras.Epsilon0.F_alpha]
F_One_Zero_ge [in hydras.Epsilon0.F_alpha]
F_One_Zero_dom [in hydras.Epsilon0.F_alpha]
F_alpha_0_eq [in hydras.Epsilon0.F_alpha]
F_succ_eqn [in hydras.Epsilon0.F_alpha]
F_lim_eqn [in hydras.Epsilon0.F_alpha]
F_zero_eqn [in hydras.Epsilon0.F_alpha]
F_star_iterate [in hydras.Epsilon0.F_alpha]
F_star_Succ [in hydras.Epsilon0.F_alpha]
F_eq2 [in hydras.Epsilon0.F_alpha]
F_star_zero_eqn [in hydras.Epsilon0.F_alpha]
f_ok_inv [in hydras.Epsilon0.Large_Sets]
F_alpha_notPR_inv [in hydras.Epsilon0.F_omega]
F_alpha_PR_inv [in hydras.Epsilon0.F_omega]
F_alpha_not_PR [in hydras.Epsilon0.F_omega]
F_omega_not_PR [in hydras.Epsilon0.F_omega]
F_vs_Ack [in hydras.Epsilon0.F_omega]
F_iterate_rw [in hydras.Epsilon0.F_omega]
F_alpha_Sn [in hydras.solutions_exercises.F_3]
F_3_eqn [in hydras.solutions_exercises.F_3]
f_minoration [in hydras.Epsilon0.Hprime]
f_sup_commutes [in hydras.Schutte.Ordering_Functions]
F_not_lim [in hydras.Gamma0.Gamma0]
F0 [in hydras.Epsilon0.Hprime]
F1 [in hydras.solutions_exercises.MultisetWf]
F1 [in hydras.Epsilon0.Hprime]
F1 [in hydras.Hydra.KP_example]
F1_correct [in additions.AM]
F1_correct [in additions.Euclidean_Chains]
F1_neutral_r [in additions.Euclidean_Chains]
F1_neutral_l [in additions.Euclidean_Chains]
F1_simpl [in hydras.Epsilon0.Hprime]
F2 [in hydras.Epsilon0.F_alpha]
F2 [in hydras.solutions_exercises.MultisetWf]
F2 [in hydras.Epsilon0.Hprime]
F2 [in hydras.Hydra.KP_example]
F2C_correct [in additions.Euclidean_Chains]
F2q_correct [in additions.AM]
F2q_correct_1 [in additions.AM]
F2q_correct_0 [in additions.AM]
F2_correct [in additions.Euclidean_Chains]
F3 [in hydras.Epsilon0.Hprime]
F3_correct [in additions.AM]
F3_correct [in additions.Euclidean_Chains]
F5 [in hydras.Epsilon0.F_alpha]
F6 [in hydras.Epsilon0.F_alpha]
F7 [in hydras.Epsilon0.F_alpha]
F8 [in hydras.Epsilon0.F_alpha]
F9 [in hydras.Epsilon0.F_alpha]
F9_correct [in additions.Euclidean_Chains]

G

gamma_positive [in hydras.Epsilon0.Paths]
Gamma0_prec.prec_transitive [in hydras.Gamma0.Gamma0]
Gamma0_prec.prec_antisym [in hydras.Gamma0.Gamma0]
Gamma0_prec.prec_dec [in hydras.Gamma0.Gamma0]
Gamma0_sig.eq_symbol_dec [in hydras.Gamma0.Gamma0]
Gamma0.add_le4 [in gaia_hydras.nfwfgaia]
Gamma0.add_le3 [in gaia_hydras.nfwfgaia]
Gamma0.add_inj [in gaia_hydras.nfwfgaia]
Gamma0.add_le2 [in gaia_hydras.nfwfgaia]
Gamma0.add_le1 [in gaia_hydras.nfwfgaia]
Gamma0.add_to_cons [in gaia_hydras.nfwfgaia]
Gamma0.add_fin_omega [in gaia_hydras.nfwfgaia]
Gamma0.add_int [in gaia_hydras.nfwfgaia]
Gamma0.add1Nfin [in gaia_hydras.nfwfgaia]
Gamma0.ap_pr4 [in gaia_hydras.nfwfgaia]
Gamma0.ap_pr3 [in gaia_hydras.nfwfgaia]
Gamma0.ap_pr2 [in gaia_hydras.nfwfgaia]
Gamma0.ap_pr1 [in gaia_hydras.nfwfgaia]
Gamma0.ap_limit [in gaia_hydras.nfwfgaia]
Gamma0.ap_pr0 [in gaia_hydras.nfwfgaia]
Gamma0.le_succ_succE [in gaia_hydras.nfwfgaia]
Gamma0.le_succ_succ [in gaia_hydras.nfwfgaia]
Gamma0.limit_pr [in gaia_hydras.nfwfgaia]
Gamma0.limit_pr1 [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_4 [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_3 [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_2 [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_le_1 [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_succE [in gaia_hydras.nfwfgaia]
Gamma0.lt_succ_succ [in gaia_hydras.nfwfgaia]
Gamma0.lt_tail [in gaia_hydras.nfwfgaia]
Gamma0.minus_le [in gaia_hydras.nfwfgaia]
Gamma0.minus_lt [in gaia_hydras.nfwfgaia]
Gamma0.nf_phi [in gaia_hydras.nfwfgaia]
Gamma0.nf_add [in gaia_hydras.nfwfgaia]
Gamma0.nf_sub [in gaia_hydras.nfwfgaia]
Gamma0.nf_pred [in gaia_hydras.nfwfgaia]
Gamma0.nf_succ [in gaia_hydras.nfwfgaia]
Gamma0.nf_split [in gaia_hydras.nfwfgaia]
Gamma0.nf_finite [in gaia_hydras.nfwfgaia]
Gamma0.nf_one [in gaia_hydras.nfwfgaia]
Gamma0.nf_omega [in gaia_hydras.nfwfgaia]
Gamma0.nf_psi [in gaia_hydras.nfwfgaia]
Gamma0.no_critical [in gaia_hydras.nfwfgaia]
Gamma0.omega_minus_one [in gaia_hydras.nfwfgaia]
Gamma0.omega_least_inf2 [in gaia_hydras.nfwfgaia]
Gamma0.omega_least_inf1 [in gaia_hydras.nfwfgaia]
Gamma0.omega_lt_epsilon0 [in gaia_hydras.nfwfgaia]
Gamma0.phi_inv3 [in gaia_hydras.nfwfgaia]
Gamma0.phi_inv2 [in gaia_hydras.nfwfgaia]
Gamma0.phi_inv0 [in gaia_hydras.nfwfgaia]
Gamma0.phi_ltE [in gaia_hydras.nfwfgaia]
Gamma0.phi_eqE [in gaia_hydras.nfwfgaia]
Gamma0.phi_inj1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_inj [in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_c [in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_b [in gaia_hydras.nfwfgaia]
Gamma0.phi_mono_a [in gaia_hydras.nfwfgaia]
Gamma0.phi_inv1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_ab_le2 [in gaia_hydras.nfwfgaia]
Gamma0.phi_ab_le1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4c [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4b [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec4a [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec3 [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec2 [in gaia_hydras.nfwfgaia]
Gamma0.phi_spec1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_principalR [in gaia_hydras.nfwfgaia]
Gamma0.phi_cases [in gaia_hydras.nfwfgaia]
Gamma0.phi_succ [in gaia_hydras.nfwfgaia]
Gamma0.phi_fix2 [in gaia_hydras.nfwfgaia]
Gamma0.phi_fix1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_le3 [in gaia_hydras.nfwfgaia]
Gamma0.phi_le2 [in gaia_hydras.nfwfgaia]
Gamma0.phi_le1 [in gaia_hydras.nfwfgaia]
Gamma0.phi_ap [in gaia_hydras.nfwfgaia]
Gamma0.pred_succ [in gaia_hydras.nfwfgaia]
Gamma0.pred_lt [in gaia_hydras.nfwfgaia]
Gamma0.pred_le [in gaia_hydras.nfwfgaia]
Gamma0.psi_phi1 [in gaia_hydras.nfwfgaia]
Gamma0.psi_lt2 [in gaia_hydras.nfwfgaia]
Gamma0.psi_lt1 [in gaia_hydras.nfwfgaia]
Gamma0.size_prop [in gaia_hydras.nfwfgaia]
Gamma0.size_prop1 [in gaia_hydras.nfwfgaia]
Gamma0.split_add [in gaia_hydras.nfwfgaia]
Gamma0.split_le [in gaia_hydras.nfwfgaia]
Gamma0.split_pred [in gaia_hydras.nfwfgaia]
Gamma0.split_succ [in gaia_hydras.nfwfgaia]
Gamma0.split_is_succ [in gaia_hydras.nfwfgaia]
Gamma0.split_limit [in gaia_hydras.nfwfgaia]
Gamma0.split_finite [in gaia_hydras.nfwfgaia]
Gamma0.sub_pr1r [in gaia_hydras.nfwfgaia]
Gamma0.sub_nz [in gaia_hydras.nfwfgaia]
Gamma0.sub_pr1 [in gaia_hydras.nfwfgaia]
Gamma0.sub_pr [in gaia_hydras.nfwfgaia]
Gamma0.sub_le1 [in gaia_hydras.nfwfgaia]
Gamma0.sub_int [in gaia_hydras.nfwfgaia]
Gamma0.sub1a [in gaia_hydras.nfwfgaia]
Gamma0.sub1b [in gaia_hydras.nfwfgaia]
Gamma0.sub1Nfin [in gaia_hydras.nfwfgaia]
Gamma0.succ_is_add_one [in gaia_hydras.nfwfgaia]
Gamma0.succ_psi_lt2 [in gaia_hydras.nfwfgaia]
Gamma0.succ_psi_lt [in gaia_hydras.nfwfgaia]
Gamma0.succ_psi [in gaia_hydras.nfwfgaia]
Gamma0.succ_nz [in gaia_hydras.nfwfgaia]
Gamma0.succ_inj [in gaia_hydras.nfwfgaia]
Gamma0.succ_p1 [in gaia_hydras.nfwfgaia]
Gamma0.succ_pred [in gaia_hydras.nfwfgaia]
Gamma0.succ_lt [in gaia_hydras.nfwfgaia]
Gamma0.T1succ_nat [in gaia_hydras.nfwfgaia]
Gamma0.T1T2range1 [in gaia_hydras.nfwfgaia]
Gamma0.T1T2range2 [in gaia_hydras.nfwfgaia]
Gamma0.T1T2_inc [in gaia_hydras.nfwfgaia]
Gamma0.T1T2_inj [in gaia_hydras.nfwfgaia]
Gamma0.T2addA [in gaia_hydras.nfwfgaia]
Gamma0.T2addn0 [in gaia_hydras.nfwfgaia]
Gamma0.T2add_eq0 [in gaia_hydras.nfwfgaia]
Gamma0.T2add0n [in gaia_hydras.nfwfgaia]
Gamma0.T2eqE [in gaia_hydras.nfwfgaia]
Gamma0.T2eqP [in gaia_hydras.nfwfgaia]
Gamma0.T2eq_add2l [in gaia_hydras.nfwfgaia]
Gamma0.T2eq_le [in gaia_hydras.nfwfgaia]
Gamma0.T2finite_succ [in gaia_hydras.nfwfgaia]
Gamma0.T2finite2 [in gaia_hydras.nfwfgaia]
Gamma0.T2ge1 [in gaia_hydras.nfwfgaia]
Gamma0.T2gt1 [in gaia_hydras.nfwfgaia]
Gamma0.T2leNgt [in gaia_hydras.nfwfgaia]
Gamma0.T2lenn [in gaia_hydras.nfwfgaia]
Gamma0.T2len0 [in gaia_hydras.nfwfgaia]
Gamma0.T2leP [in gaia_hydras.nfwfgaia]
Gamma0.T2le_add2r [in gaia_hydras.nfwfgaia]
Gamma0.T2le_add2l [in gaia_hydras.nfwfgaia]
Gamma0.T2le_psi_b [in gaia_hydras.nfwfgaia]
Gamma0.T2le_psi1 [in gaia_hydras.nfwfgaia]
Gamma0.T2le_trans [in gaia_hydras.nfwfgaia]
Gamma0.T2le_lt_trans [in gaia_hydras.nfwfgaia]
Gamma0.T2le_total [in gaia_hydras.nfwfgaia]
Gamma0.T2le_eqVlt [in gaia_hydras.nfwfgaia]
Gamma0.T2le_consE [in gaia_hydras.nfwfgaia]
Gamma0.T2le0n [in gaia_hydras.nfwfgaia]
Gamma0.T2ltE [in gaia_hydras.nfwfgaia]
Gamma0.T2ltgtP [in gaia_hydras.nfwfgaia]
Gamma0.T2ltNge [in gaia_hydras.nfwfgaia]
Gamma0.T2ltnn [in gaia_hydras.nfwfgaia]
Gamma0.T2ltn0 [in gaia_hydras.nfwfgaia]
Gamma0.T2ltP [in gaia_hydras.nfwfgaia]
Gamma0.T2ltW [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_add2r [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_add2l [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_a [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_b [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_le_trans [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_trans [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi_aux [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_trichotomy [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_anti [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_neAle [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_ne' [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_ne [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_consE [in gaia_hydras.nfwfgaia]
Gamma0.T2lt_psi [in gaia_hydras.nfwfgaia]
Gamma0.T2lt0n [in gaia_hydras.nfwfgaia]
Gamma0.T2lt1 [in gaia_hydras.nfwfgaia]
Gamma0.T2nat_inc [in gaia_hydras.nfwfgaia]
Gamma0.T2nf_finite [in gaia_hydras.nfwfgaia]
Gamma0.T2nf_consE [in gaia_hydras.nfwfgaia]
Gamma0.T2nf_cons_cons [in gaia_hydras.nfwfgaia]
Gamma0.T2subnn [in gaia_hydras.nfwfgaia]
Gamma0.T2subn0 [in gaia_hydras.nfwfgaia]
Gamma0.T2sub0n [in gaia_hydras.nfwfgaia]
gcanon_limit_v2 [in gaia_hydras.GCanon]
gcanon_zero [in gaia_hydras.GCanon]
get_predecessor [in hydras.Prelude.More_Arith]
ge_omega_iff [in hydras.solutions_exercises.ge_omega_iff]
ge_zero [in hydras.Schutte.Addition]
ge_o_segment [in hydras.Schutte.Addition]
gE0le_iff [in gaia_hydras.T1Bridge]
gE0lt_wf [in gaia_hydras.T1Bridge]
gE0lt_iff [in gaia_hydras.T1Bridge]
gE0_eq_intro [in gaia_hydras.T1Bridge]
GnawS_omega [in hydras.Epsilon0.Large_Sets]
GnawS_Gnaw [in hydras.Epsilon0.Large_Sets]
gnawS_path_toS [in hydras.Epsilon0.Paths]
gnawS_cut2 [in hydras.Epsilon0.Paths]
gnawS_cut1 [in hydras.Epsilon0.Paths]
gnawS_SSn [in hydras.Epsilon0.Paths]
gnawS_tail [in hydras.Epsilon0.Paths]
gnawS_succ_eqn2 [in hydras.Epsilon0.Paths]
gnawS_succ_eqn1 [in hydras.Epsilon0.Paths]
gnawS_lim2 [in hydras.Epsilon0.Paths]
gnawS_lim1 [in hydras.Epsilon0.Paths]
gnaws_rw [in hydras.Epsilon0.Paths]
gnawS_app [in hydras.Epsilon0.Paths]
gnawS_to_path_toS [in hydras.Epsilon0.Paths]
gnawS_nf [in hydras.Epsilon0.Paths]
gnawS_zero [in hydras.Epsilon0.Paths]
gnawS_gnaw [in hydras.Epsilon0.Paths]
gnaw_omega_1 [in hydras.Epsilon0.Large_Sets]
gnaw_omega_n_SSn [in hydras.Epsilon0.Large_Sets]
Gnaw_omega [in hydras.Epsilon0.Large_Sets]
Gnaw_GnawS [in hydras.Epsilon0.Large_Sets]
gnaw_last_step [in hydras.Epsilon0.Large_Sets]
gnaw_n_R [in hydras.Epsilon0.Large_Sets]
gnaw_finite [in hydras.Epsilon0.Large_Sets]
gnaw_finite_1 [in hydras.Epsilon0.Large_Sets]
gnaw_finite_1_iota [in hydras.Epsilon0.Large_Sets]
gnaw_path_to [in hydras.Epsilon0.Paths]
gnaw_app [in hydras.Epsilon0.Paths]
gnaw_to_path_to [in hydras.Epsilon0.Paths]
gnaw_rw [in hydras.Epsilon0.Paths]
gnaw_succ [in hydras.Epsilon0.Paths]
gnaw_zero [in hydras.Epsilon0.Paths]
gnaw_nf [in hydras.Epsilon0.Paths]
gnaw_gnawS [in hydras.Epsilon0.Paths]
Goedel'sIncompleteness1st [in Goedel.goedel1]
GS [in Goedel.goedel2]
g_1_of [in hydras.Schutte.Ordering_Functions]
g_1_bij [in hydras.Schutte.Ordering_Functions]
g_bij [in hydras.Schutte.Ordering_Functions]
g_mono [in hydras.Schutte.Ordering_Functions]
g_lemma [in hydras.Schutte.Ordering_Functions]
g_def [in hydras.Schutte.Ordering_Functions]
g_unic [in hydras.Schutte.Ordering_Functions]
g_def1 [in hydras.Schutte.Ordering_Functions]
G0.compare_correct [in hydras.Gamma0.Gamma0]
G0.lt_wf [in hydras.Gamma0.Gamma0]
G0.lt_LT_incl [in hydras.Gamma0.Gamma0]
G0.Lt_wf [in hydras.Gamma0.Gamma0]
G0.nfb_proof_unicity [in hydras.Gamma0.Gamma0]
G0.nfb_equiv [in hydras.Gamma0.Gamma0]
G0.nfb_a [in hydras.Gamma0.Gamma0]
G0.zero_nfb [in hydras.Gamma0.Gamma0]
g2h_canon [in gaia_hydras.GCanon]
g2h_E0zero [in gaia_hydras.T1Bridge]
g2h_E0_succ [in gaia_hydras.T1Bridge]
g2h_succ [in gaia_hydras.T1Bridge]
g2h_plusE [in gaia_hydras.T1Bridge]
g2h_multE [in gaia_hydras.T1Bridge]
g2h_zero [in gaia_hydras.T1Bridge]
g2h_cons [in gaia_hydras.T1Bridge]
g2h_phi0 [in gaia_hydras.T1Bridge]
g2h_diffE [in gaia_hydras.T1Bridge]
g2h_eqE [in gaia_hydras.T1Bridge]
g2h_h2gK [in gaia_hydras.T1Bridge]
g2h_eqE [in gaia_hydras.T2Bridge]
g2h_h2gK [in gaia_hydras.T2Bridge]

H

HBL1 [in Goedel.goedel2]
hcons_mult_S2 [in hydras.Hydra.Hydra_Lemmas]
hcons_mult_S1 [in hydras.Hydra.Hydra_Lemmas]
hcons_mult_S0 [in hydras.Hydra.Hydra_Lemmas]
hcons_mult_comm [in hydras.Hydra.Hydra_Lemmas]
hcons_mult_app [in hydras.Hydra.Hydra_Lemmas]
headbits [in additions.fib]
head_LT_cons [in hydras.Epsilon0.T1]
head_lt_cons [in hydras.Epsilon0.T1]
head_lt [in hydras.Epsilon0.T1]
head_lt [in hydras.Schutte.Correctness_E0]
head_no_round [in hydras.Hydra.Hydra_Lemmas]
head_no_round_n [in hydras.Hydra.Hydra_Lemmas]
height_lt_size [in hydras.Hydra.Hydra_Examples]
height_bad [in hydras.Hydra.Omega_Small]
HFLim [in hydras.Epsilon0.F_alpha]
HFsucc [in hydras.Epsilon0.F_alpha]
HF0 [in hydras.Epsilon0.F_alpha]
hlt_iff [in gaia_hydras.T1Bridge]
Hmu [in hydras.Hydra.Epsilon0_Needed_Std]
hmultA [in gaia_hydras.GaiaToHydra]
hmult_dist [in gaia_hydras.GaiaToHydra]
hnf_g2h [in gaia_hydras.T1Bridge]
hs_eq_dec [in hydras.Hydra.Hydra_Definitions]
hs2lK [in hydras.Hydra.Hydra_Definitions]
Hvariant_Termination [in hydras.Hydra.Hydra_Lemmas]
hyper_exp2_S [in hydras.Prelude.Iterates]
hy_app_l_nil [in hydras.Hydra.O2H]
hy_app_assoc [in hydras.Hydra.Hydra_Lemmas]
h_eq_dec [in hydras.Hydra.Hydra_Definitions]
H'_F [in gaia_hydras.GF_alpha]
H'_omega_cube_min [in gaia_hydras.GHprime]
H'_alpha_gt [in gaia_hydras.GHprime]
H'_alpha_mono [in gaia_hydras.GHprime]
H'_dom [in gaia_hydras.GHprime]
H'_omega_double [in gaia_hydras.GHprime]
H'_omega [in gaia_hydras.GHprime]
H'_eq3 [in gaia_hydras.GHprime]
H'_eq2 [in gaia_hydras.GHprime]
H'_eq1 [in gaia_hydras.GHprime]
H'_F [in hydras.Epsilon0.F_alpha]
H'_L_ [in hydras.Epsilon0.L_alpha]
H'_dom [in hydras.Epsilon0.Hprime]
H'_mono_l [in hydras.Epsilon0.Hprime]
H'_mono_l_1 [in hydras.Epsilon0.Hprime]
H'_mono_l_0 [in hydras.Epsilon0.Hprime]
H'_alpha_mono_weak [in hydras.Epsilon0.Hprime]
H'_alpha_ge_id [in hydras.Epsilon0.Hprime]
H'_restricted_mono_l [in hydras.Epsilon0.Hprime]
H'_alpha_dom [in hydras.Epsilon0.Hprime]
H'_alpha_Succ_le [in hydras.Epsilon0.Hprime]
H'_alpha_gt [in hydras.Epsilon0.Hprime]
H'_alpha_mono [in hydras.Epsilon0.Hprime]
H'_non_mono1 [in hydras.Epsilon0.Hprime]
H'_omega_cube_min [in hydras.Epsilon0.Hprime]
H'_omega_sqr_min [in hydras.Epsilon0.Hprime]
H'_Phi0_omega_exact_formula [in hydras.Epsilon0.Hprime]
H'_Phi0_omega [in hydras.Epsilon0.Hprime]
H'_omega_cube [in hydras.Epsilon0.Hprime]
H'_Phi0_Si [in hydras.Epsilon0.Hprime]
H'_Phi0_succ [in hydras.Epsilon0.Hprime]
H'_Phi0_succ_0 [in hydras.Epsilon0.Hprime]
H'_Phi0_succ_1 [in hydras.Epsilon0.Hprime]
H'_Omega_term [in hydras.Epsilon0.Hprime]
H'_Fin_iterate [in hydras.Epsilon0.Hprime]
H'_Omega_term_0 [in hydras.Epsilon0.Hprime]
H'_Omega_term_1 [in hydras.Epsilon0.Hprime]
H'_cons [in hydras.Epsilon0.Hprime]
H'_omega_sqr [in hydras.Epsilon0.Hprime]
H'_omega_i [in hydras.Epsilon0.Hprime]
H'_omega_4 [in hydras.Epsilon0.Hprime]
H'_omega_3 [in hydras.Epsilon0.Hprime]
H'_omega_double [in hydras.Epsilon0.Hprime]
H'_Plus_Fin [in hydras.Epsilon0.Hprime]
H'_omega [in hydras.Epsilon0.Hprime]
H'_Fin [in hydras.Epsilon0.Hprime]
H'_eq2 [in hydras.Epsilon0.Hprime]
H'_eq3 [in hydras.Epsilon0.Hprime]
H'_eq2_0 [in hydras.Epsilon0.Hprime]
H'_eq1 [in hydras.Epsilon0.Hprime]
H'_L_ [in gaia_hydras.GL_alpha]
h0_h1 [in hydras.Hydra.KP_example]
h1_h2 [in hydras.Hydra.KP_example]
h2g_zero [in gaia_hydras.T1Bridge]
h2g_cons [in gaia_hydras.T1Bridge]
h2g_diffE [in gaia_hydras.T1Bridge]
h2g_eqE [in gaia_hydras.T1Bridge]
h2g_g2hK [in gaia_hydras.T1Bridge]
h2g_eqE [in gaia_hydras.T2Bridge]
h2g_g2hK [in gaia_hydras.T2Bridge]
h2_h3 [in hydras.Hydra.KP_example]

I

id_le_f_alpha [in hydras.Epsilon0.F_alpha]
iffExist [in hydras.Ackermann.folReplace]
iffE1 [in hydras.Ackermann.LNN]
iffE1 [in hydras.Ackermann.LNT]
iffE1 [in hydras.Ackermann.folLogic]
iffE2 [in hydras.Ackermann.LNN]
iffE2 [in hydras.Ackermann.LNT]
iffE2 [in hydras.Ackermann.folLogic]
iffI [in hydras.Ackermann.LNN]
iffI [in hydras.Ackermann.LNT]
iffI [in hydras.Ackermann.folLogic]
iffRefl [in hydras.Ackermann.LNN]
iffRefl [in hydras.Ackermann.LNT]
iffRefl [in hydras.Ackermann.folLogic]
iffSym [in hydras.Ackermann.LNN]
iffSym [in hydras.Ackermann.LNT]
iffSym [in hydras.Ackermann.folLogic]
iffTrans [in hydras.Ackermann.LNN]
iffTrans [in hydras.Ackermann.LNT]
iffTrans [in hydras.Ackermann.folLogic]
if_simpl [in gaia_hydras.nfwfgaia]
image_as_Im [in hydras.Schutte.PartialFun]
image_B_g_seg [in hydras.Schutte.Ordering_Functions]
impE [in hydras.Ackermann.LNN]
impE [in hydras.Ackermann.LNT]
impE [in hydras.Ackermann.folLogic]
impForall [in hydras.Ackermann.folReplace]
impI [in hydras.Ackermann.LNN]
impI [in hydras.Ackermann.LNT]
impI [in hydras.Ackermann.folLogic]
Impossibility_free [in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_std [in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_std [in gaia_hydras.GHydra]
Impossibility_free [in gaia_hydras.GHydra]
Impossible [in hydras.Hydra.Omega2_Small]
impossible_nat [in hydras.solutions_exercises.MultisetWf]
impRefl [in hydras.Ackermann.LNN]
impRefl [in hydras.Ackermann.LNT]
impRefl [in hydras.Ackermann.folLogic]
impTrans [in hydras.Ackermann.LNN]
impTrans [in hydras.Ackermann.LNT]
impTrans [in hydras.Ackermann.folLogic]
im_U_f [in hydras.Schutte.Ordering_Functions]
incl_decomp [in hydras.Prelude.MoreLists]
incl_inv [in hydras.Prelude.MoreLists]
Incompleteness [in Goedel.rosser]
Inc_U_A [in hydras.Schutte.Ordering_Functions]
induct [in hydras.Ackermann.PA]
induct_step [in hydras.Schutte.Critical]
Inh_ord [in hydras.Schutte.Schutte_basics]
inh_U [in hydras.Schutte.Ordering_Functions]
inject_lt_epsilon0_ex_unique [in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0_ex [in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0_ex_cnf [in hydras.Schutte.Correctness_E0]
inject_mult_fin_r [in hydras.Schutte.Correctness_E0]
inject_plus [in hydras.Schutte.Correctness_E0]
inject_rw [in hydras.Schutte.Correctness_E0]
inject_lt_epsilon0 [in hydras.Schutte.Correctness_E0]
inject_monoR [in hydras.Schutte.Correctness_E0]
inject_injective [in hydras.Schutte.Correctness_E0]
inject_mono [in hydras.Schutte.Correctness_E0]
inject_mono_0 [in hydras.Schutte.Correctness_E0]
inject_of_phi0 [in hydras.Schutte.Correctness_E0]
inject_of_omega [in hydras.Schutte.Correctness_E0]
inject_of_finite [in hydras.Schutte.Correctness_E0]
inject_of_zero [in hydras.Schutte.Correctness_E0]
inject_of_finite_pos [in hydras.Schutte.Correctness_E0]
interval_lt_not_In [in hydras.Prelude.MoreLists]
interval_sorted_ge [in hydras.Prelude.MoreLists]
interval_unroll [in hydras.Prelude.MoreLists]
interval_app [in hydras.Prelude.MoreLists]
interval_singleton [in hydras.Prelude.MoreLists]
interval_not_empty_iff [in hydras.Prelude.MoreLists]
interval_not_empty [in hydras.Prelude.MoreLists]
interval_length [in hydras.Prelude.MoreLists]
interval_def [in gaia_hydras.GPaths]
inv_Pi [in hydras.solutions_exercises.FibonacciPR]
inv_fun_bij [in hydras.Schutte.PartialFun]
inv_composeR [in hydras.Schutte.PartialFun]
inv_compose [in hydras.Schutte.PartialFun]
inv_trans [in hydras.rpo.closure]
In_betaFormula_subst_2_1 [in Goedel.PRrepresentable]
In_betaFormula_subst_2 [in Goedel.PRrepresentable]
In_betaFormula [in Goedel.PRrepresentable]
In_betaFormula_subst_1 [in Goedel.PRrepresentable]
In_betaFormula_subst_1_2 [in Goedel.PRrepresentable]
In_betaFormula_subst_1_2_0 [in Goedel.PRrepresentable]
In_sorted_ge_inv [in hydras.Prelude.MoreLists]
in_remove [in hydras.rpo.more_list]
in_map_in [in hydras.rpo.more_list]
in_in_map [in hydras.rpo.more_list]
In_freeVarListFormulaE [in hydras.Ackermann.folProp]
In_freeVarListFormula [in hydras.Ackermann.folProp]
in_remove_neq [in hydras.Ackermann.ListExt]
In_add2 [in hydras.MoreAck.FolExamples]
In_add1 [in hydras.MoreAck.FolExamples]
In_cases [in hydras.Prelude.MoreVectors]
iotas_succ [in hydras.Hydra.O2H]
iota_phi0 [in hydras.Hydra.O2H]
iota_of_succ [in hydras.Hydra.O2H]
iota_tail [in hydras.Hydra.O2H]
iota_rw4 [in hydras.Hydra.O2H]
iota_rw3 [in hydras.Hydra.O2H]
iota_rw2 [in hydras.Hydra.O2H]
iota_rw1 [in hydras.Hydra.O2H]
iota_succ_round [in hydras.Hydra.O2H]
iota_succ_round_n [in hydras.Hydra.O2H]
iota_succ_R1 [in hydras.Hydra.O2H]
iota_iotas [in hydras.Hydra.O2H]
iota_from_lt_not_In [in hydras.Prelude.MoreLists]
iota_from_sorted_ge [in hydras.Prelude.MoreLists]
iota_from_unroll [in hydras.Prelude.MoreLists]
iota_from_plus [in hydras.Prelude.MoreLists]
iota_from_app [in hydras.Prelude.MoreLists]
iota_adapt [in gaia_hydras.GPaths]
iota_ind [in hydras.Schutte.MoreEpsilonIota]
iota_eq [in hydras.Schutte.MoreEpsilonIota]
iota_spec_1 [in hydras.Schutte.MoreEpsilonIota]
iota_fun_ind [in hydras.Schutte.PartialFun]
iota_fun_e [in hydras.Schutte.PartialFun]
iota_demo.Bad.le_bottom_zero [in hydras.Schutte.Schutte_basics]
iota_demo.Bad.bottom_eq [in hydras.Schutte.Schutte_basics]
iota_demo.Bad.le_zero_bottom [in hydras.Schutte.Schutte_basics]
iota_demo.zero_le [in hydras.Schutte.Schutte_basics]
iota_demo.R [in hydras.Schutte.Schutte_basics]
iota_mono [in hydras.OrdinalNotations.ON_Finite]
iota_compare_commute [in hydras.OrdinalNotations.ON_Finite]
is_limit_phi0 [in hydras.Schutte.AP]
is_in_seq_not_Acc [in hydras.solutions_exercises.MultisetWf]
is_limit_sup_members [in hydras.Schutte.Schutte_basics]
is_limit_omega [in hydras.Schutte.Schutte_basics]
is_limit_ab [in hydras.Gamma0.Gamma0]
is_limit_intro [in hydras.Gamma0.Gamma0]
is_limit_cons_inv [in hydras.Gamma0.Gamma0]
is_limit_not_succ [in hydras.Gamma0.Gamma0]
is_finite_finite [in hydras.Gamma0.Gamma0]
iterate_ge_diag' [in hydras.Prelude.Iterates]
iterate_gt_diag' [in hydras.Prelude.Iterates]
iterate_ge_from [in hydras.Prelude.Iterates]
iterate_ext2 [in hydras.Prelude.Iterates]
iterate_dom_prop [in hydras.Prelude.Iterates]
iterate_mono_1 [in hydras.Prelude.Iterates]
iterate_ge'' [in hydras.Prelude.Iterates]
iterate_ge' [in hydras.Prelude.Iterates]
iterate_Sge [in hydras.Prelude.Iterates]
iterate_ge [in hydras.Prelude.Iterates]
iterate_mono [in hydras.Prelude.Iterates]
iterate_mono2 [in hydras.Prelude.Iterates]
iterate_le_np_le [in hydras.Prelude.Iterates]
iterate_le_n_Sn [in hydras.Prelude.Iterates]
iterate_lt_from [in hydras.Prelude.Iterates]
iterate_lt [in hydras.Prelude.Iterates]
iterate_le [in hydras.Prelude.Iterates]
iterate_ext [in hydras.Prelude.Iterates]
iterate_rw [in hydras.Prelude.Iterates]
iterate_S_eqn2 [in hydras.Prelude.Iterates]
iterate_S_eqn [in hydras.Prelude.Iterates]
iterate_compat3 [in hydras.Prelude.Iterates]
iterate_compat2 [in hydras.Prelude.Iterates]
iterate_compat [in hydras.Prelude.Iterates]
iterate_comm [in hydras.Prelude.Iterates]
iterate_nat_rec [in hydras.MoreAck.AckNotPR]
iterate_extEqual [in hydras.MoreAck.Iterate_compat]
iterate_compat [in hydras.MoreAck.Iterate_compat]
iterate2_mono2 [in hydras.Prelude.Iterates]
iterate2_mono3 [in hydras.Prelude.Iterates]
iterate2_mono_weak [in hydras.Prelude.Iterates]
iterate2_mono [in hydras.Prelude.Iterates]
iter_combine [in additions.fib]
iter_comm [in additions.fib]
iter_mul [in additions.fib]
I_i_wf [in gaia_hydras.onType]

K

Kchain_correct_conv [in additions.Euclidean_Chains]
KFF_correct [in additions.AM]
KFF_correct [in additions.Euclidean_Chains]
KFF_correct_nat [in additions.Euclidean_Chains]
KFK_correct [in additions.AM]
KFK_correct [in additions.Euclidean_Chains]
KFK_proper [in additions.Euclidean_Chains]
KFK_correct_nat [in additions.Euclidean_Chains]
KP_5_iii [in hydras.Epsilon0.Paths]
KP_arrowS_zero [in hydras.Epsilon0.Paths]
ksi_plus_beta_eq [in hydras.Schutte.AP]
ksi_plus_beta [in hydras.Schutte.AP]
ksi_plus_seq_n' [in hydras.Schutte.AP]
ksi_plus_seq_n [in hydras.Schutte.AP]
KS_thm_2_4 [in gaia_hydras.GPaths]
KS_thm_2_4_E0 [in hydras.Epsilon0.Paths]
KS_thm_2_4 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma5 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma4 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma3 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma3_0 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma2 [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma1' [in hydras.Epsilon0.Paths]
KS_thm_2_4_lemma1 [in hydras.Epsilon0.Paths]
K2F_correct [in additions.Euclidean_Chains]
K2F_correct_nat [in additions.Euclidean_Chains]
k3_1_proper [in additions.Euclidean_Chains]
k3_1_correct [in additions.Euclidean_Chains]
k7_3_correct [in additions.Euclidean_Chains]

L

L [in hydras.Epsilon0.F_omega]
L [in hydras.solutions_exercises.F_3]
L [in additions.Addition_Chains]
largeb_n_R [in hydras.Epsilon0.Large_Sets]
largeb_n [in hydras.Epsilon0.Large_Sets]
largeb_finite [in hydras.Epsilon0.Large_Sets]
Largeb_Sb [in hydras.Epsilon0.Large_Sets]
largeb_Sb [in hydras.Epsilon0.Large_Sets]
LargeSb_b [in hydras.Epsilon0.Large_Sets]
largeSb_b [in hydras.Epsilon0.Large_Sets]
largeS_iff [in hydras.Epsilon0.Large_Sets]
large_omega_iff [in hydras.Epsilon0.Large_Sets]
large_omega_2 [in hydras.Epsilon0.Large_Sets]
large_omega_1 [in hydras.Epsilon0.Large_Sets]
large_n_iff [in hydras.Epsilon0.Large_Sets]
large_iff [in hydras.Epsilon0.Large_Sets]
Least_zero [in hydras.OrdinalNotations.ON_Omega2]
least_AP [in hydras.Schutte.AP]
Least_is_0 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Least_not_Limit [in hydras.Prelude.MoreOrders]
Least_not_Succ [in hydras.Prelude.MoreOrders]
least_member_of_eq [in hydras.Schutte.Well_Orders]
least_member_ex_unique [in hydras.Schutte.Well_Orders]
least_member_unicity [in hydras.Schutte.Well_Orders]
least_member_glb [in hydras.Schutte.Well_Orders]
least_member_lower_bound [in hydras.Schutte.Well_Orders]
Lemma_4_5_2 [in hydras.Epsilon0.Large_Sets]
Lemma_4_5_1 [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_2 [in hydras.Epsilon0.Large_Sets]
Lemma_4_4_0 [in hydras.Epsilon0.Paths]
Lemma_4_4_1 [in hydras.Epsilon0.Paths]
Lemma_4_3 [in hydras.Epsilon0.Paths]
Lemma_4_3_0 [in hydras.Epsilon0.Paths]
Lemma2_6_1 [in gaia_hydras.GPaths]
Lemma2_6_1_E0 [in hydras.Epsilon0.Paths]
Lemma2_6_1 [in hydras.Epsilon0.Paths]
Lemma4_4 [in hydras.Epsilon0.Large_Sets]
Lemma5 [in hydras.Schutte.Critical]
Lemma5_7 [in hydras.Schutte.Critical]
Lemma5_2 [in hydras.Schutte.Critical]
Lemma5_1 [in hydras.Schutte.Critical]
Lemma5_04 [in hydras.Schutte.Critical]
Lemma5_03 [in hydras.Schutte.Critical]
Lemma5_02 [in hydras.Schutte.Critical]
Lemma5_01 [in hydras.Schutte.Critical]
Lemma5_0 [in hydras.Schutte.Critical]
lengthTerms [in hydras.Ackermann.wellFormed]
length_abnc [in hydras.Gamma0.T2]
length_ab [in hydras.Gamma0.T2]
length_psi [in hydras.Gamma0.T2]
length_n [in hydras.Gamma0.T2]
length_c [in hydras.Gamma0.T2]
length_b [in hydras.Gamma0.T2]
length_a [in hydras.Gamma0.T2]
length_map [in hydras.rpo.more_list]
lexwf [in hydras.solutions_exercises.MultisetWf]
lexwf [in hydras.solutions_exercises.MultisetWf]
lex_strict_intro_left [in hydras.Prelude.DecPreOrder_Instances]
lex_strict_intro_right [in hydras.Prelude.DecPreOrder_Instances]
lex_inv_right [in hydras.Prelude.DecPreOrder_Instances]
lex_inv_left [in hydras.Prelude.DecPreOrder_Instances]
lex_of_equiv [in hydras.Prelude.DecPreOrder_Instances]
lex_nat_wf [in hydras.MoreAck.Ack]
lex_trans [in hydras.rpo.rpo]
LE_LT_eq_dec [in hydras.Epsilon0.T1]
LE_r [in hydras.Epsilon0.T1]
le_lt_LT [in hydras.Epsilon0.T1]
LE_phi0 [in hydras.Epsilon0.T1]
LE_LT_trans [in hydras.Epsilon0.T1]
LE_antisym [in hydras.Epsilon0.T1]
LE_trans [in hydras.Epsilon0.T1]
LE_refl [in hydras.Epsilon0.T1]
LE_zero [in hydras.Epsilon0.T1]
LE_le [in hydras.Epsilon0.T1]
LE_nf_r [in hydras.Epsilon0.T1]
LE_nf_l [in hydras.Epsilon0.T1]
le_phi0 [in hydras.Epsilon0.T1]
le_tail [in hydras.Epsilon0.T1]
le_zero_inv [in hydras.Epsilon0.T1]
le_inv [in hydras.Epsilon0.T1]
le_eq_lt_dec [in hydras.Epsilon0.T1]
le_0 [in hydras.OrdinalNotations.ON_Omega2]
le_intror [in hydras.OrdinalNotations.ON_Omega2]
le_min_bd [in hydras.Prelude.Comparable]
le_min_a [in hydras.Prelude.Comparable]
le_max_b [in hydras.Prelude.Comparable]
le_max_a [in hydras.Prelude.Comparable]
le_not_gt [in hydras.Prelude.Comparable]
le_lt_trans [in hydras.Prelude.Comparable]
le_trans [in hydras.Prelude.Comparable]
le_refl [in hydras.Prelude.Comparable]
le_lt_equiv_dec [in hydras.Prelude.DecPreOrder]
le_lt_weak [in hydras.Prelude.DecPreOrder]
le_lt_trans [in hydras.Prelude.DecPreOrder]
le_not_gt [in hydras.Prelude.DecPreOrder]
le_phi0 [in hydras.Schutte.AP]
le_lt_trans [in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_0 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_intror [in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_introl [in hydras.OrdinalNotations.ON_Omega_plus_omega]
le_S_Ack [in hydras.MoreAck.Ack]
LE_ref [in gaia_hydras.T1Bridge]
le_ref [in gaia_hydras.T1Bridge]
le_lt_eq [in hydras.Prelude.MoreOrders]
le_alpha_zero [in hydras.Schutte.Schutte_basics]
le_sup_members [in hydras.Schutte.Schutte_basics]
le_disj [in hydras.Schutte.Schutte_basics]
le_not_gt [in hydras.Schutte.Schutte_basics]
le_eq_or_lt [in hydras.Schutte.Schutte_basics]
le_antisym [in hydras.Schutte.Schutte_basics]
le_trans [in hydras.Schutte.Schutte_basics]
le_lt_trans [in hydras.Schutte.Schutte_basics]
le_refl [in hydras.Schutte.Schutte_basics]
Le_refl [in hydras.Epsilon0.E0]
Le_trans [in hydras.Epsilon0.E0]
le_lt_eq_dec [in hydras.Epsilon0.E0]
Le_iff [in hydras.Epsilon0.E0]
Le_Lt_trans [in hydras.Schutte.Well_Orders]
Le_antisym [in hydras.Schutte.Well_Orders]
Le_refl [in hydras.Schutte.Well_Orders]
le_plus_l [in hydras.Gamma0.Gamma0]
le_plus_r [in hydras.Gamma0.Gamma0]
le_b_phi_ab [in hydras.Gamma0.Gamma0]
le_one_cons [in hydras.Gamma0.Gamma0]
le_cons_tail [in hydras.Gamma0.Gamma0]
le_trans [in hydras.Gamma0.Gamma0]
le_lt_trans [in hydras.Gamma0.Gamma0]
le_inv_nc [in hydras.Gamma0.Gamma0]
le_psi_term_le [in hydras.Gamma0.Gamma0]
le_zero_alpha [in hydras.Gamma0.Gamma0]
le_a_mult_Sn_a [in hydras.Schutte.Addition]
le_plus_r [in hydras.Schutte.Addition]
le_plus_l [in hydras.Schutte.Addition]
LF1 [in gaia_hydras.GF_alpha]
LF1 [in hydras.Epsilon0.F_alpha]
LF2 [in gaia_hydras.GF_alpha]
LF2 [in hydras.Epsilon0.F_alpha]
LF2_0 [in hydras.Epsilon0.F_alpha]
LF2' [in gaia_hydras.GF_alpha]
LF2' [in hydras.Epsilon0.F_alpha]
LF3 [in hydras.solutions_exercises.F_3]
LF3_2 [in gaia_hydras.GF_alpha]
LF3_2 [in hydras.Epsilon0.F_alpha]
liftCloseFrom [in hydras.Ackermann.subAll]
limitb_limit [in hydras.OrdinalNotations.ON_Omega2]
LimitNotSucc [in hydras.Prelude.Comparable]
limit_is_lub [in hydras.OrdinalNotations.ON_Omega2]
limit_is_lub_0 [in hydras.OrdinalNotations.ON_Omega2]
limit_no_R1 [in hydras.Hydra.O2H]
limit_no_head [in hydras.Hydra.O2H]
Limit_Infinity [in hydras.solutions_exercises.Limit_Infinity]
limit_canonS_not_zero [in gaia_hydras.GCanon]
limit_iff [in hydras.OrdinalNotations.ON_Omega_plus_omega]
limit_is_omega [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Limit_gt_Zero [in hydras.Epsilon0.E0]
Limit_not_Zero [in hydras.Epsilon0.E0]
limit_rounds [in hydras.Hydra.Omega2_Small]
limit_rounds_0 [in hydras.Hydra.Omega2_Small]
limit_plus_fin_ok [in hydras.Gamma0.Gamma0]
limit_plus_fin_inv0 [in hydras.Gamma0.Gamma0]
limit_plus_fin_lim [in hydras.Gamma0.Gamma0]
limit_plus_fin_plus [in hydras.Gamma0.Gamma0]
list_size_size_eq [in hydras.rpo.more_list]
list_size_fold [in hydras.rpo.more_list]
list_size_app [in hydras.rpo.more_list]
list_size_tl_compat [in hydras.rpo.more_list]
list_app_length [in hydras.rpo.more_list]
LL [in hydras.Epsilon0.F_alpha]
LNN_eqdec [in hydras.Ackermann.LNN]
LNN2LNT_subFormula [in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF2 [in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF1 [in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarF [in hydras.Ackermann.LNN2LNT]
LNN2LNT_exist [in hydras.Ackermann.LNN2LNT]
LNN2LNT_iff [in hydras.Ackermann.LNN2LNT]
LNN2LNT_and [in hydras.Ackermann.LNN2LNT]
LNN2LNT_or [in hydras.Ackermann.LNN2LNT]
LNN2LNT_subTerms [in hydras.Ackermann.LNN2LNT]
LNN2LNT_subTerm [in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarTs [in hydras.Ackermann.LNN2LNT]
LNN2LNT_freeVarT [in hydras.Ackermann.LNN2LNT]
LNN2LNT_natToTerm [in hydras.Ackermann.LNN2LNT]
LNotPR [in hydras.Hydra.Hydra_Theorems]
LNT_eqdec [in hydras.Ackermann.LNT]
LNT2LNN_subFormula [in hydras.Ackermann.LNN2LNT]
LNT2LNN_freeVarF [in hydras.Ackermann.LNN2LNT]
LNT2LNN_freeVarT [in hydras.Ackermann.LNN2LNT]
LNT2LNN_subTerm [in hydras.Ackermann.LNN2LNT]
LNT2LNN_natToTerm [in hydras.Ackermann.LNN2LNT]
LNT2LNT_formula [in hydras.Ackermann.LNN2LNT]
LNT2LNT_term [in hydras.Ackermann.LNN2LNT]
LocallySorted_inv_In [in hydras.Prelude.Sort_spec]
LocallySorted_trans [in hydras.Prelude.Sort_spec]
LocallySorted_cons' [in hydras.Prelude.Sort_spec]
LocallySorted_cons [in hydras.Prelude.Sort_spec]
LO.compare_correct [in hydras.OrdinalNotations.OmegaOmega]
LO.compare_reflect [in hydras.OrdinalNotations.OmegaOmega]
LO.compare_rev [in hydras.OrdinalNotations.OmegaOmega]
LO.compare_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.cons_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.eq_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.fin_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.limitb_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.lt_trans [in hydras.OrdinalNotations.OmegaOmega]
LO.lt_irrefl [in hydras.OrdinalNotations.OmegaOmega]
LO.lt_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.mult_plus_distr_l [in hydras.OrdinalNotations.OmegaOmega]
LO.mult_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.mult_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.nf_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.nf_inv3 [in hydras.OrdinalNotations.OmegaOmega]
LO.nf_inv2 [in hydras.OrdinalNotations.OmegaOmega]
LO.phi0_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.phi0_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.plus_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.plus_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.single_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.succb_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.succ_nf [in hydras.OrdinalNotations.OmegaOmega]
LO.succ_ref [in hydras.OrdinalNotations.OmegaOmega]
LO.zero_nf [in hydras.OrdinalNotations.OmegaOmega]
LS [in hydras.solutions_exercises.FibonacciPR]
LS [in hydras.Hydra.BigBattle]
ltBoolFalse [in hydras.Ackermann.primRec]
ltBoolTrue [in hydras.Ackermann.primRec]
Ltb_ij [in hydras.OrdinalNotations.ON_Finite]
ltn_add_ll [in gaia_hydras.nfwfgaia]
ltn_add_el [in gaia_hydras.nfwfgaia]
ltn_add_le [in gaia_hydras.nfwfgaia]
ltn_simpl2 [in gaia_hydras.nfwfgaia]
ltn_simpl1 [in gaia_hydras.nfwfgaia]
lt_succ_le_2' [in hydras.Epsilon0.T1]
LT_succ_LT_eq_dec [in hydras.Epsilon0.T1]
lt_one [in hydras.Epsilon0.T1]
lt_cons_phi0_inv [in hydras.Epsilon0.T1]
LT_eq_LT_dec [in hydras.Epsilon0.T1]
LT_succ [in hydras.Epsilon0.T1]
LT_add [in hydras.Epsilon0.T1]
lt_plus_r [in hydras.Epsilon0.T1]
lt_plus_l [in hydras.Epsilon0.T1]
LT_of_finite [in hydras.Epsilon0.T1]
lt_omega_inv [in hydras.Epsilon0.T1]
LT_one [in hydras.Epsilon0.T1]
LT_succ_LE_2 [in hydras.Epsilon0.T1]
LT_succ_LE [in hydras.Epsilon0.T1]
lt_succ_le [in hydras.Epsilon0.T1]
lt_succ_le_2 [in hydras.Epsilon0.T1]
LT_succ_LE_R [in hydras.Epsilon0.T1]
lt_succ_le_R [in hydras.Epsilon0.T1]
LT_cons_0 [in hydras.Epsilon0.T1]
LT_inv_strong [in hydras.Epsilon0.T1]
LT_inv [in hydras.Epsilon0.T1]
LT_LE_trans [in hydras.Epsilon0.T1]
LT_irrefl [in hydras.Epsilon0.T1]
LT_trans [in hydras.Epsilon0.T1]
LT_lt [in hydras.Epsilon0.T1]
LT_nf_r [in hydras.Epsilon0.T1]
LT_nf_l [in hydras.Epsilon0.T1]
lt_a_phi0_b_iff [in hydras.Epsilon0.T1]
lt_a_phi0_b_def [in hydras.Epsilon0.T1]
lt_a_phi0_b_phi0R [in hydras.Epsilon0.T1]
lt_a_phi0_b_phi0 [in hydras.Epsilon0.T1]
lt_a_phi0_b_intro [in hydras.Epsilon0.T1]
lt_a_phi0_b_inv1 [in hydras.Epsilon0.T1]
lt_a_phi0_b_inv [in hydras.Epsilon0.T1]
lt_a_phi0_a [in hydras.Epsilon0.T1]
lt_succ [in hydras.Epsilon0.T1]
lt_inv_head [in hydras.Epsilon0.T1]
lt_trans [in hydras.Epsilon0.T1]
lt_fin_iff [in hydras.Epsilon0.T1]
lt_inv_tail [in hydras.Epsilon0.T1]
lt_inv_coeff_dec [in hydras.Epsilon0.T1]
lt_inv_coeff [in hydras.Epsilon0.T1]
lt_inv [in hydras.Epsilon0.T1]
lt_irrefl [in hydras.Epsilon0.T1]
lt_inv_strong [in hydras.Epsilon0.T1]
lt_omega [in hydras.OrdinalNotations.ON_Omega2]
lt_eq_lt_dec [in hydras.OrdinalNotations.ON_Omega2]
lt_succ [in hydras.OrdinalNotations.ON_Omega2]
lt_succ_le [in hydras.OrdinalNotations.ON_Omega2]
lt_lt_Sn [in hydras.Prelude.More_Arith]
LT_to_round_plus [in hydras.Hydra.O2H]
Lt_n_F_Zero_n [in hydras.Epsilon0.F_alpha]
lt_eq_lt [in hydras.Prelude.Comparable]
lt_incl_le [in hydras.Prelude.Comparable]
lt_le_trans [in hydras.Prelude.Comparable]
lt_not_ge [in hydras.Prelude.Comparable]
lt_not_gt [in hydras.Prelude.Comparable]
lt_wf [in hydras.OrdinalNotations.ON_O]
LT_to_standard_path [in gaia_hydras.GPaths]
LT_path_to [in gaia_hydras.GPaths]
lt_a_phi0_b_oplus [in hydras.Epsilon0.Hessenberg]
lt_le_trans [in hydras.Prelude.DecPreOrder]
lt_not_equiv [in hydras.Prelude.DecPreOrder]
lt_not_ge [in hydras.Prelude.DecPreOrder]
lt_irreflexive [in hydras.Prelude.DecPreOrder]
lt_S_2i [in additions.More_on_positive]
lt_phi0 [in hydras.Schutte.AP]
lt_beta_exists [in hydras.Schutte.AP]
lt_omega [in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_succ [in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_succ_le [in hydras.OrdinalNotations.ON_Omega_plus_omega]
lt_le_trans [in hydras.OrdinalNotations.ON_Omega_plus_omega]
LT_inv [in hydras.solutions_exercises.MultisetWf]
lt_wf_double_ind [in hydras.MoreAck.Ack]
lt_wf_ind [in hydras.MoreAck.Ack]
LT_ref [in gaia_hydras.T1Bridge]
lt_ref [in gaia_hydras.T1Bridge]
lt_eq_lt_dec [in hydras.OrdinalNotations.ON_mult]
lt_wf [in hydras.OrdinalNotations.ON_mult]
LT_to_standard_battle [in hydras.Hydra.Epsilon0_Needed_Std]
lt_eq_lt_dec [in hydras.OrdinalNotations.ON_plus]
lt_wf [in hydras.OrdinalNotations.ON_plus]
lt_omega_finite [in hydras.Schutte.Schutte_basics]
lt_omega_limit_lt_exists_lt [in hydras.Schutte.Schutte_basics]
lt_omega_limit [in hydras.Schutte.Schutte_basics]
lt_sup_exists_lt [in hydras.Schutte.Schutte_basics]
lt_sup_exists_leq [in hydras.Schutte.Schutte_basics]
lt_succ_lt [in hydras.Schutte.Schutte_basics]
lt_succ_le_2 [in hydras.Schutte.Schutte_basics]
lt_succ_le [in hydras.Schutte.Schutte_basics]
lt_succ [in hydras.Schutte.Schutte_basics]
lt_or_ge [in hydras.Schutte.Schutte_basics]
lt_irrefl [in hydras.Schutte.Schutte_basics]
lt_le_trans [in hydras.Schutte.Schutte_basics]
lt_trans [in hydras.Schutte.Schutte_basics]
lt_le [in hydras.Schutte.Schutte_basics]
lt_wf [in hydras.OrdinalNotations.ON_Finite]
lt_omega_inv [in hydras.Epsilon0.E0]
Lt_Le_incl [in hydras.Epsilon0.E0]
Lt_trans [in hydras.Epsilon0.E0]
lt_Succ_le_2 [in hydras.Epsilon0.E0]
lt_Succ_inv [in hydras.Epsilon0.E0]
Lt_Succ [in hydras.Epsilon0.E0]
Lt_Succ_Le [in hydras.Epsilon0.E0]
Lt_not_Gt [in hydras.Schutte.Well_Orders]
Lt_Le_trans [in hydras.Schutte.Well_Orders]
Lt_connect [in hydras.Schutte.Well_Orders]
LT_to_standard_path [in hydras.Epsilon0.Paths]
LT_acc_from [in hydras.Epsilon0.Paths]
LT_path_to [in hydras.Epsilon0.Paths]
LT_path_toS [in hydras.Epsilon0.Paths]
lt_not_gt [in hydras.Gamma0.Gamma0]
lt_epsilon0_succ [in hydras.Gamma0.Gamma0]
lt_epsilon0_trans [in hydras.Gamma0.Gamma0]
lt_epsilon0_okR [in hydras.Gamma0.Gamma0]
lt_epsilon0_ok [in hydras.Gamma0.Gamma0]
lt_a_phi_ab [in hydras.Gamma0.Gamma0]
lt_inc_rpo_0 [in hydras.Gamma0.Gamma0]
lt_rpo_cons_cons [in hydras.Gamma0.Gamma0]
lt_subterm1 [in hydras.Gamma0.Gamma0]
lt_succ_le [in hydras.Gamma0.Gamma0]
lt_succ [in hydras.Gamma0.Gamma0]
lt_compatR [in hydras.Gamma0.Gamma0]
lt_compat [in hydras.Gamma0.Gamma0]
lt_omega_is_fin [in hydras.Gamma0.Gamma0]
lt_omega_inv [in hydras.Gamma0.Gamma0]
lt_cons_omega_inv [in hydras.Gamma0.Gamma0]
lt_one_inv [in hydras.Gamma0.Gamma0]
lt_tail [in hydras.Gamma0.Gamma0]
lt_tail0 [in hydras.Gamma0.Gamma0]
lt_alpha_cons [in hydras.Gamma0.Gamma0]
lt_alpha_psi [in hydras.Gamma0.Gamma0]
lt_beta_cons [in hydras.Gamma0.Gamma0]
lt_beta_psi [in hydras.Gamma0.Gamma0]
lt_le_trans [in hydras.Gamma0.Gamma0]
lt_trans [in hydras.Gamma0.Gamma0]
lt_trans0 [in hydras.Gamma0.Gamma0]
lt_than_psi [in hydras.Gamma0.Gamma0]
lt_irr [in hydras.Gamma0.Gamma0]
lt_wf [in gaia_hydras.nfwfgaia]
lt_not_wf [in hydras.solutions_exercises.T1_ltNotWf]
LT1 [in hydras.Epsilon0.T1]
LT2 [in hydras.Epsilon0.T1]
LT3 [in hydras.Epsilon0.T1]
LT4 [in hydras.Epsilon0.T1]
lub_mono [in hydras.Gamma0.Gamma0]
lub_unicity [in hydras.Gamma0.Gamma0]
Lvar [in hydras.Hydra.Epsilon0_Needed_Std]
L_omega_cube_3_eq [in hydras.Epsilon0.Large_Sets]
L_omega_cube_eqn [in hydras.Epsilon0.Large_Sets]
L_omega_cube_ok [in hydras.Epsilon0.Large_Sets]
L_omega_square_times_ok [in hydras.Epsilon0.Large_Sets]
L_phi0_mult_Sle [in hydras.Epsilon0.Large_Sets]
L_phi0_mult_smono [in hydras.Epsilon0.Large_Sets]
L_phi0_mult_ok [in hydras.Epsilon0.Large_Sets]
L_omega_square_ok [in hydras.Epsilon0.Large_Sets]
L_omega_square_smono [in hydras.Epsilon0.Large_Sets]
L_omega_square_Sle [in hydras.Epsilon0.Large_Sets]
L_omega_square_eqn [in hydras.Epsilon0.Large_Sets]
L_omega_square_eqn1 [in hydras.Epsilon0.Large_Sets]
L_omega_mult_eqn [in hydras.Epsilon0.Large_Sets]
L_omega_mult_ok [in hydras.Epsilon0.Large_Sets]
L_omega_mult_Sle [in hydras.Epsilon0.Large_Sets]
L_omega_ok [in hydras.Epsilon0.Large_Sets]
L_omega_smono [in hydras.Epsilon0.Large_Sets]
L_omega_Sle [in hydras.Epsilon0.Large_Sets]
L_fin_ok [in hydras.Epsilon0.Large_Sets]
L_S_succ_rw [in hydras.Epsilon0.Large_Sets]
L_fin_smono [in hydras.Epsilon0.Large_Sets]
L_finS_S_le [in hydras.Epsilon0.Large_Sets]
L_lim_ok [in hydras.Epsilon0.Large_Sets]
L_succ_ok [in hydras.Epsilon0.Large_Sets]
L_succ_Sle [in hydras.Epsilon0.Large_Sets]
L_succ_mono [in hydras.Epsilon0.Large_Sets]
L_spec_unicity [in hydras.Epsilon0.Large_Sets]
L_pos_inv [in hydras.Epsilon0.Large_Sets]
L_zero_inv [in hydras.Epsilon0.Large_Sets]
L_spec_compat [in hydras.Epsilon0.Large_Sets]
L_spec_inv2 [in hydras.Epsilon0.Large_Sets]
L_correct [in hydras.Epsilon0.L_alpha]
L_ok [in hydras.Epsilon0.L_alpha]
L_ok_lim [in hydras.Epsilon0.L_alpha]
L_ok_succ [in hydras.Epsilon0.L_alpha]
L_ok0 [in hydras.Epsilon0.L_alpha]
L_succ_ok [in hydras.Epsilon0.L_alpha]
L_ge_S [in hydras.Epsilon0.L_alpha]
L_ge_id [in hydras.Epsilon0.L_alpha]
L_omega [in hydras.Epsilon0.L_alpha]
L_finite [in hydras.Epsilon0.L_alpha]
L_lim_eqn [in hydras.Epsilon0.L_alpha]
L_succ_eqn [in hydras.Epsilon0.L_alpha]
L_eq2 [in hydras.Epsilon0.L_alpha]
L_zero_eqn [in hydras.Epsilon0.L_alpha]
l_std_ok [in hydras.Hydra.Battle_length]
L_0_3 [in hydras.Hydra.BigBattle]
L_2_3 [in hydras.Hydra.BigBattle]
L_0_2 [in hydras.Hydra.BigBattle]
l_std_ok [in gaia_hydras.GHydra]
l_stdE [in gaia_hydras.GHydra]
L_fin_ok [in gaia_hydras.GLarge_Sets]
L_correct [in gaia_hydras.GL_alpha]
L_pos_inv [in gaia_hydras.GL_alpha]
L_spec1 [in gaia_hydras.GL_alpha]
L_spec0 [in gaia_hydras.GL_alpha]
L_ge_S [in gaia_hydras.GL_alpha]
L_ge_id [in gaia_hydras.GL_alpha]
L_omega [in gaia_hydras.GL_alpha]
L_finite [in gaia_hydras.GL_alpha]
L_limE [in gaia_hydras.GL_alpha]
L_succE [in gaia_hydras.GL_alpha]
L_eq2 [in gaia_hydras.GL_alpha]
L_zeroE [in gaia_hydras.GL_alpha]
L0 [in hydras.Epsilon0.T1]
L0 [in additions.AM]
L0 [in hydras.solutions_exercises.FibonacciPR]
L0_95 [in hydras.Hydra.BigBattle]
L00 [in hydras.Epsilon0.F_omega]
L02 [in hydras.Epsilon0.F_omega]
L03 [in hydras.Epsilon0.T1]
L04 [in hydras.solutions_exercises.F_3]
L04' [in hydras.solutions_exercises.F_3]
L05 [in hydras.Epsilon0.T1]
L06 [in hydras.Hydra.Battle_length]
L1 [in hydras.Epsilon0.T1]
L1 [in hydras.solutions_exercises.predSuccUnicity]
L1 [in hydras.MoreAck.expressibleExamples]
L1 [in hydras.solutions_exercises.Limit_Infinity]
L1 [in hydras.solutions_exercises.FibonacciPR]
L1 [in hydras.solutions_exercises.lt_succ_le]
L1' [in gaia_hydras.T1Bridge]
L10 [in hydras.Epsilon0.T1]
L10 [in hydras.Hydra.BigBattle]
L11 [in hydras.Epsilon0.T1]
L12 [in hydras.Epsilon0.T1]
L13 [in hydras.Epsilon0.T1]
L14 [in hydras.Epsilon0.T1]
L2 [in hydras.Epsilon0.T1]
L2 [in hydras.solutions_exercises.predSuccUnicity]
L2 [in hydras.MoreAck.expressibleExamples]
L2 [in hydras.solutions_exercises.Limit_Infinity]
L2 [in hydras.Epsilon0.F_omega]
L2 [in hydras.solutions_exercises.FibonacciPR]
L2 [in hydras.solutions_exercises.F_3]
L2 [in additions.Addition_Chains]
l2hsK [in hydras.Hydra.Hydra_Definitions]
L2_95_S [in hydras.Hydra.BigBattle]
L2_95 [in hydras.Hydra.BigBattle]
L2_6_2 [in hydras.Epsilon0.Paths]
L22 [in hydras.Hydra.BigBattle]
L3 [in hydras.Epsilon0.T1]
L3 [in hydras.MoreAck.expressibleExamples]
L3 [in hydras.solutions_exercises.Limit_Infinity]
L3 [in hydras.solutions_exercises.F_3]
L3a [in hydras.Schutte.Ordering_Functions]
L3_u [in hydras.Schutte.Ordering_Functions]
L4 [in hydras.Epsilon0.T1]
L4 [in hydras.MoreAck.expressibleExamples]
L4 [in hydras.solutions_exercises.Limit_Infinity]
L4 [in hydras.Hydra.BigBattle]
L4 [in hydras.solutions_exercises.F_3]
L46 [in hydras.Hydra.BigBattle]
L5 [in hydras.Epsilon0.T1]
L5 [in hydras.MoreAck.expressibleExamples]
L5 [in hydras.MoreAck.Ack]
L6 [in hydras.Epsilon0.T1]
L6 [in hydras.MoreAck.expressibleExamples]
L7 [in hydras.Epsilon0.T1]
L8 [in hydras.Epsilon0.T1]
L87'' [in additions.Addition_Chains]
L9 [in hydras.Epsilon0.T1]
L94 [in hydras.Hydra.BigBattle]
L95 [in hydras.Hydra.BigBattle]

M

majorAnyPR [in hydras.MoreAck.AckNotPR]
majorProjection [in hydras.MoreAck.AckNotPR]
majorPR1 [in hydras.MoreAck.AckNotPR]
majorPR2 [in hydras.MoreAck.AckNotPR]
majorPR2_strict [in hydras.MoreAck.AckNotPR]
majorSucc [in hydras.MoreAck.AckNotPR]
majorZero [in hydras.MoreAck.AckNotPR]
makeTraceCorrect [in hydras.Ackermann.codeSubFormula]
makeTraceForallNice [in hydras.Ackermann.codeSubFormula]
makeTraceImpNice [in hydras.Ackermann.codeSubFormula]
makeTraceNotNice [in hydras.Ackermann.codeSubFormula]
makeTrace1 [in hydras.Ackermann.codeSubFormula]
makeTrace2 [in hydras.Ackermann.codeSubFormula]
make_chain_correct [in additions.Euclidean_Chains]
Make.acc_build [in hydras.rpo.rpo]
Make.acc_lex_drop_proof [in hydras.rpo.rpo]
Make.ac_syntactic [in hydras.rpo.list_permut]
Make.ac_syntactic_aux [in hydras.rpo.list_permut]
Make.add_comm [in hydras.rpo.list_set]
Make.add_12 [in hydras.rpo.list_set]
Make.add_2 [in hydras.rpo.list_set]
Make.add_1 [in hydras.rpo.list_set]
Make.add_prf [in hydras.rpo.list_set]
Make.cardinal_eq_set [in hydras.rpo.list_set]
Make.cardinal_union [in hydras.rpo.list_set]
Make.cardinal_union_inter_12 [in hydras.rpo.list_set]
Make.cardinal_union_2 [in hydras.rpo.list_set]
Make.cardinal_union_1 [in hydras.rpo.list_set]
Make.cardinal_subset [in hydras.rpo.list_set]
Make.cons_permut_in [in hydras.rpo.list_permut]
Make.context_multiset_extension_step_app2 [in hydras.rpo.dickson]
Make.context_trans_clos_multiset_extension_step_app1 [in hydras.rpo.dickson]
Make.context_multiset_extension_step_app1 [in hydras.rpo.dickson]
Make.context_list_permut_app2 [in hydras.rpo.list_permut]
Make.context_list_permut_app1 [in hydras.rpo.list_permut]
Make.context_list_permut_cons [in hydras.rpo.list_permut]
Make.DecVar.eq_A_dec [in hydras.rpo.term]
Make.dickson [in hydras.rpo.dickson]
Make.dickson_aux3 [in hydras.rpo.dickson]
Make.dickson_aux2 [in hydras.rpo.dickson]
Make.dickson_aux1 [in hydras.rpo.dickson]
Make.empty_subst_is_id_list [in hydras.rpo.term]
Make.empty_subst_is_id [in hydras.rpo.term]
Make.eq_term_dec [in hydras.rpo.term]
Make.eq_set_list_permut_support [in hydras.rpo.list_set]
Make.eq_set_trans [in hydras.rpo.list_set]
Make.eq_set_sym [in hydras.rpo.list_set]
Make.eq_set_refl [in hydras.rpo.list_set]
Make.eq_set_dec [in hydras.rpo.list_set]
Make.filter_union [in hydras.rpo.list_set]
Make.filter_2 [in hydras.rpo.list_set]
Make.filter_2_list [in hydras.rpo.list_set]
Make.filter_1 [in hydras.rpo.list_set]
Make.filter_1_list [in hydras.rpo.list_set]
Make.included_remove_red [in hydras.rpo.list_set]
Make.included_filter_aux [in hydras.rpo.list_set]
Make.inter_12 [in hydras.rpo.list_set]
Make.inter_12_aux [in hydras.rpo.list_set]
Make.inter_2 [in hydras.rpo.list_set]
Make.inter_2_aux [in hydras.rpo.list_set]
Make.inter_1 [in hydras.rpo.list_set]
Make.inter_1_aux [in hydras.rpo.list_set]
Make.in_permut_in [in hydras.rpo.list_permut]
Make.in_mult_S [in hydras.rpo.list_permut]
Make.in_sn_sn [in hydras.rpo.rpo]
Make.is_a_pos_exists_subtem [in hydras.rpo.term]
Make.lex1 [in hydras.rpo.rpo]
Make.lex1_bis [in hydras.rpo.rpo]
Make.lex2 [in hydras.rpo.rpo]
Make.lex3 [in hydras.rpo.rpo]
Make.list_permut_acc [in hydras.rpo.dickson]
Make.list_permut_multiset_extension_step_2 [in hydras.rpo.dickson]
Make.list_permut_multiset_extension_step_1 [in hydras.rpo.dickson]
Make.list_permut_dec [in hydras.rpo.list_permut]
Make.list_permut_length_2 [in hydras.rpo.list_permut]
Make.list_permut_length_1 [in hydras.rpo.list_permut]
Make.list_permut_map [in hydras.rpo.list_permut]
Make.list_permut_size [in hydras.rpo.list_permut]
Make.list_permut_length [in hydras.rpo.list_permut]
Make.list_permut_remove_hd [in hydras.rpo.list_permut]
Make.list_permut_app_app [in hydras.rpo.list_permut]
Make.list_permut_add_cons_inside [in hydras.rpo.list_permut]
Make.list_permut_add_inside [in hydras.rpo.list_permut]
Make.list_permut_nil [in hydras.rpo.list_permut]
Make.list_permut_trans [in hydras.rpo.list_permut]
Make.list_permut_sym [in hydras.rpo.list_permut]
Make.list_permut_refl [in hydras.rpo.list_permut]
Make.list_permut_map_acc [in hydras.rpo.rpo]
Make.mem_dec [in hydras.rpo.list_set]
Make.multiplicity_app [in hydras.rpo.list_permut]
Make.multiset_closure [in hydras.rpo.dickson]
Make.out_mult_O [in hydras.rpo.list_permut]
Make.o_size3_trans [in hydras.rpo.rpo]
Make.projection_list_of_SN_terms [in hydras.rpo.rpo]
Make.remove_red_included [in hydras.rpo.list_set]
Make.remove_context_list_permut_app2 [in hydras.rpo.list_permut]
Make.remove_context_list_permut_cons [in hydras.rpo.list_permut]
Make.replace_at_pos_list_replace_at_pos_in_subterm [in hydras.rpo.term]
Make.replace_at_pos_is_replace_at_pos2 [in hydras.rpo.term]
Make.replace_at_pos_is_replace_at_pos1 [in hydras.rpo.term]
Make.replace_at_pos_unfold [in hydras.rpo.term]
Make.rpo_add_context [in hydras.rpo.rpo]
Make.rpo_subst [in hydras.rpo.rpo]
Make.rpo_mul_trans_clos [in hydras.rpo.rpo]
Make.rpo_lex_rest_same_length [in hydras.rpo.rpo]
Make.rpo_trans [in hydras.rpo.rpo]
Make.rpo_closure [in hydras.rpo.rpo]
Make.rpo_subterm [in hydras.rpo.rpo]
Make.rpo_lex_same_length [in hydras.rpo.rpo]
Make.size_subterm_at_pos [in hydras.rpo.term]
Make.size_direct_subterm [in hydras.rpo.term]
Make.size_ge_one [in hydras.rpo.term]
Make.size_unfold [in hydras.rpo.term]
Make.subset_cardinal_not_eq_not_eq_set [in hydras.rpo.list_set]
Make.subset_subset_union [in hydras.rpo.list_set]
Make.subset_compat [in hydras.rpo.list_set]
Make.subset_compat_2 [in hydras.rpo.list_set]
Make.subset_compat_1 [in hydras.rpo.list_set]
Make.subset_filter [in hydras.rpo.list_set]
Make.subset_inter_2 [in hydras.rpo.list_set]
Make.subset_inter_1 [in hydras.rpo.list_set]
Make.subset_union_2 [in hydras.rpo.list_set]
Make.subset_union_1 [in hydras.rpo.list_set]
Make.subset_dec [in hydras.rpo.list_set]
Make.subst_comp_is_subst_comp [in hydras.rpo.term]
Make.subst_comp_is_subst_comp_aux2 [in hydras.rpo.term]
Make.subst_comp_is_subst_comp_aux1 [in hydras.rpo.term]
Make.subterm_at_pos_apply_subst_apply_subst_subterm_at_pos [in hydras.rpo.term]
Make.two_cases [in hydras.rpo.dickson]
Make.two_cases_rpo [in hydras.rpo.rpo]
Make.union_compat_eq_set [in hydras.rpo.list_set]
Make.union_compat_subset_2 [in hydras.rpo.list_set]
Make.union_compat_subset_1 [in hydras.rpo.list_set]
Make.union_assoc [in hydras.rpo.list_set]
Make.union_comm [in hydras.rpo.list_set]
Make.union_empty_2 [in hydras.rpo.list_set]
Make.union_empty_1 [in hydras.rpo.list_set]
Make.union_12 [in hydras.rpo.list_set]
Make.union_12_aux [in hydras.rpo.list_set]
Make.union_2 [in hydras.rpo.list_set]
Make.union_2_aux [in hydras.rpo.list_set]
Make.union_1 [in hydras.rpo.list_set]
Make.union_1_aux [in hydras.rpo.list_set]
Make.well_formed_apply_subst [in hydras.rpo.term]
Make.well_formed_fold [in hydras.rpo.term]
Make.well_formed_unfold [in hydras.rpo.term]
Make.wf_rpo [in hydras.rpo.rpo]
Make.wf_rpo_term [in hydras.rpo.rpo]
Make.wf_on_mul_rest [in hydras.rpo.rpo]
Make.wf_on_lex_rest [in hydras.rpo.rpo]
Make.wf_on_rest [in hydras.rpo.rpo]
Make.wf_size3 [in hydras.rpo.rpo]
Make.wf_size2 [in hydras.rpo.rpo]
Make.wf_size [in hydras.rpo.rpo]
Make.without_red_permut [in hydras.rpo.list_set]
Make.without_red_remove_not_common [in hydras.rpo.list_set]
Make.without_red_remove_not_common_aux [in hydras.rpo.list_set]
Make.without_red_add_without_red [in hydras.rpo.list_set]
Make.without_red_singleton [in hydras.rpo.list_set]
Make.without_red_nil [in hydras.rpo.list_set]
Make.without_red_add [in hydras.rpo.list_set]
Make.without_red_remove [in hydras.rpo.list_set]
Make.without_red_remove_red [in hydras.rpo.list_set]
Make.without_red_filter_aux [in hydras.rpo.list_set]
mapListLemma [in hydras.Ackermann.codeSubFormula]
map_app [in hydras.rpo.more_list]
map_map [in hydras.rpo.more_list]
maxApp [in hydras.Ackermann.codeSubFormula]
maxLemma [in hydras.Ackermann.codeSubFormula]
maxLemma2 [in hydras.Ackermann.codeSubFormula]
maxLemma3 [in hydras.Ackermann.codeSubFormula]
maxSubTerm [in hydras.Ackermann.codeSubFormula]
maxSubTerms [in hydras.Ackermann.codeSubFormula]
maxVarFreeVar [in hydras.Ackermann.codeSubFormula]
max_nf [in hydras.Epsilon0.T1]
max_le_regL [in hydras.Prelude.More_Arith]
max_le_regR [in hydras.Prelude.More_Arith]
max_le_plus [in hydras.Prelude.More_Arith]
max_refl [in hydras.Prelude.Comparable]
max_ge_b [in hydras.Prelude.Comparable]
max_ge_a [in hydras.Prelude.Comparable]
max_comm [in hydras.Prelude.Comparable]
max_dec [in hydras.Prelude.Comparable]
max_v_tl [in hydras.Prelude.MoreVectors]
max_v_ge [in hydras.Prelude.MoreVectors]
max_v_lub [in hydras.Prelude.MoreVectors]
max_v_2 [in hydras.Prelude.MoreVectors]
membersOk [in hydras.solutions_exercises.OnCodeList]
membersOk' [in hydras.solutions_exercises.OnCodeList]
members_omega [in hydras.Schutte.Schutte_basics]
members_eq [in hydras.Schutte.Schutte_basics]
members_proper [in hydras.Schutte.Ordering_Functions]
mem_head_mult_inv [in hydras.Hydra.O2H]
merge_sort_correct [in hydras.Prelude.Merge_Sort]
merge_permutation [in hydras.Prelude.Merge_Sort]
merge_LocallySorted [in hydras.Prelude.Merge_Sort]
merge_Forall [in hydras.Prelude.Merge_Sort]
merge_equation [in hydras.Prelude.Merge_Sort]
merge_rect [in hydras.Prelude.Merge_Sort]
minimize1 [in Goedel.PRrepresentable]
minoration [in hydras.Hydra.BigBattle]
minoration_3 [in hydras.Hydra.BigBattle]
minoration_2 [in hydras.Hydra.BigBattle]
minoration_1 [in hydras.Hydra.BigBattle]
minoration_0 [in hydras.Hydra.BigBattle]
minPR_correct [in hydras.solutions_exercises.MinPR2]
minus_le [in hydras.Epsilon0.T1]
minus_a_a [in hydras.Epsilon0.T1]
minus_lt [in hydras.Epsilon0.T1]
minus_semi_assoc [in hydras.Prelude.More_Arith]
minus_exists [in hydras.Schutte.Addition]
min_refl [in hydras.Prelude.Comparable]
min_le_b [in hydras.Prelude.Comparable]
min_le_ad [in hydras.Prelude.Comparable]
min_dec [in hydras.Prelude.Comparable]
min_comm [in hydras.Prelude.Comparable]
min_max_iff [in hydras.Prelude.Comparable]
min_alt_correct [in hydras.solutions_exercises.MinPR]
mlargeS_iff [in hydras.Epsilon0.Large_Sets]
mlarge_omega [in hydras.Epsilon0.Large_Sets]
mlarge_FS [in hydras.Epsilon0.Large_Sets]
mlarge_iff [in hydras.Epsilon0.Large_Sets]
mlarge_unshift [in hydras.Epsilon0.Large_Sets]
mlarge_unicity [in hydras.Epsilon0.Large_Sets]
mlarge_unicity [in gaia_hydras.GLarge_Sets]
ml_1 [in hydras.Gamma0.Gamma0]
ml_psi [in hydras.Gamma0.Gamma0]
ModelConsistent [in hydras.Ackermann.model]
mono_weak [in hydras.Prelude.Iterates]
mono_injective [in hydras.Prelude.Iterates]
mono_le [in hydras.Prelude.Iterates]
mono_F_Zero [in hydras.Epsilon0.F_alpha]
mono_seq_weak2 [in hydras.Schutte.AP]
mono_seq2 [in hydras.Schutte.AP]
mono_seq [in hydras.Schutte.AP]
MPSys [in hydras.MoreAck.FolExamples]
ms_eqn3 [in hydras.Hydra.Hydra_Termination]
ms_nf [in hydras.Hydra.Hydra_Termination]
ms_eqn2 [in hydras.Hydra.Hydra_Termination]
multE4 [in gaia_hydras.T1Bridge]
multE5 [in gaia_hydras.T1Bridge]
multLemma1 [in hydras.Ackermann.wellFormed]
multLemma2 [in hydras.Ackermann.wellFormed]
mult_plus_distr_l [in hydras.Epsilon0.T1]
mult_mono [in hydras.Epsilon0.T1]
mult_nf [in hydras.Epsilon0.T1]
mult_Sn_add [in hydras.Epsilon0.T1]
mult_0_a [in hydras.Epsilon0.T1]
mult_nf_fin [in hydras.Epsilon0.T1]
mult_a_1 [in hydras.Epsilon0.T1]
mult_1_a [in hydras.Epsilon0.T1]
mult_a_0 [in hydras.Epsilon0.T1]
mult_compat [in hydras.Epsilon0.T1]
mult_fin_omega [in hydras.Epsilon0.T1]
mult_Sn_dist [in hydras.Schutte.Correctness_E0]
mult_lt_lt [in hydras.Prelude.More_Arith]
mult_ref [in gaia_hydras.T1Bridge]
mult_ref0 [in gaia_hydras.T1Bridge]
mult_mod_associative [in additions.Monoid_instances]
mult_plus_distr_l [in hydras.Epsilon0.E0]
mult_fin_rw [in hydras.Epsilon0.E0]
mult_Sn_mono3 [in hydras.Schutte.Addition]
mult_Sn_mono2 [in hydras.Schutte.Addition]
mult_fin_r_mono [in hydras.Schutte.Addition]
mult_fin_r_one [in hydras.Schutte.Addition]
mult_correct [in hydras.MoreAck.PrimRecExamples]
mult_eqn1 [in hydras.MoreAck.PrimRecExamples]
mu_beta_h [in hydras.Hydra.Epsilon0_Needed_Generic]
mu_positive [in hydras.Hydra.Epsilon0_Needed_Generic]
mVariant [in gaia_hydras.GHydra]
my_pow_m2lmul [in additions.fib]
my_pow_m3lmul [in additions.fib]
my_powP [in additions.fib]
m_lt [in hydras.Hydra.Epsilon0_Needed_Free]
m_variant_LT [in hydras.Hydra.Epsilon0_Needed_Free]
m_ge [in hydras.Hydra.Epsilon0_Needed_Free]
m_dominates_Ack [in hydras.Hydra.Hydra_Theorems]
m_dominates_Ack_from_3 [in hydras.Hydra.Hydra_Theorems]
m_ge_Ack [in hydras.Hydra.Hydra_Theorems]
m_ge_F_omega [in hydras.Hydra.Hydra_Theorems]
m_eqn [in hydras.Hydra.Hydra_Theorems]
m_ms [in hydras.Hydra.Hydra_Termination]
m_nf [in hydras.Hydra.Hydra_Termination]
m_lt [in hydras.Hydra.Epsilon0_Needed_Std]
m_decrease [in hydras.Hydra.Epsilon0_Needed_Std]
m_ge [in hydras.Hydra.Epsilon0_Needed_Std]
m_neq_0 [in additions.Monoid_instances]
m_nf [in gaia_hydras.GHydra]
m_ref [in gaia_hydras.GHydra]
m_strict_mono [in hydras.Hydra.Hydra_Lemmas]
m_ge_generic [in hydras.Hydra.Epsilon0_Needed_Generic]
m_ge_0 [in hydras.Hydra.Epsilon0_Needed_Generic]
m_ge [in hydras.Hydra.Omega2_Small]
m_lt [in hydras.Hydra.Omega2_Small]
m_big_h_not_null [in hydras.Hydra.Omega2_Small]
m_def [in hydras.Epsilon0.Paths]
m_ge [in hydras.Hydra.Omega_Small]
m_lt [in hydras.Hydra.Omega_Small]
m2lfibP [in additions.fib]
m2lmulP [in additions.fib]
M2_eq_intros [in additions.Monoid_instances]
M2.Id2_neutral [in additions.Naive]
M2.M2_mult_assoc [in additions.Naive]
M2.power_of_plus [in additions.Naive]
m3lfibP [in additions.fib]
m3lmulP [in additions.fib]

N

nAnd [in hydras.Ackermann.LNN]
nAnd [in hydras.Ackermann.LNT]
nAnd [in hydras.Ackermann.folLogic]
natLE [in hydras.Ackermann.NNtheory]
natLT [in hydras.Ackermann.NNtheory]
natNE [in hydras.Ackermann.NNtheory]
natPlus [in hydras.Ackermann.NNtheory]
natTimes [in hydras.Ackermann.NNtheory]
nat_double_or_s_double [in hydras.Prelude.More_Arith]
nat_power_ok [in additions.Compatibility]
nat_eqb_false [in hydras.Ackermann.primRec]
nat_2_term_mono [in hydras.Gamma0.Gamma0]
nat_lt_psi [in hydras.Gamma0.Gamma0]
nat_lt_cons [in hydras.Gamma0.Gamma0]
nb_occ_app [in hydras.rpo.more_list]
nested_Ack_bound [in hydras.MoreAck.Ack]
neutral_r [in additions.Fib2]
neutral_l [in additions.Fib2]
newVar1 [in hydras.Ackermann.folProp]
newVar2 [in hydras.Ackermann.folProp]
nExist [in hydras.Ackermann.LNN]
nExist [in hydras.Ackermann.LNT]
nExist [in hydras.Ackermann.folLogic]
next_fib [in additions.Fib2]
nForall [in hydras.Ackermann.LNN]
nForall [in hydras.Ackermann.LNT]
nForall [in hydras.Ackermann.folLogic]
nf_LT_right [in hydras.Epsilon0.T1]
nf_exp_F [in hydras.Epsilon0.T1]
nf_LT_iff [in hydras.Epsilon0.T1]
nf_omega_omega [in hydras.Epsilon0.T1]
nf_phi0 [in hydras.Epsilon0.T1]
nf_omega [in hydras.Epsilon0.T1]
nf_Wf [in hydras.Epsilon0.T1]
nf_tail_lt [in hydras.Epsilon0.T1]
nf_cons_LT [in hydras.Epsilon0.T1]
nf_omega_tower [in hydras.Epsilon0.T1]
nf_coeff_irrelevance [in hydras.Epsilon0.T1]
nf_intro' [in hydras.Epsilon0.T1]
nf_intro [in hydras.Epsilon0.T1]
nf_tail_lt_nf [in hydras.Epsilon0.T1]
nf_of_finite [in hydras.Epsilon0.T1]
nf_fin [in hydras.Epsilon0.T1]
nf_FS [in hydras.Epsilon0.T1]
nf_b_cons_eq [in hydras.Epsilon0.T1]
nf_cons_iff [in hydras.Epsilon0.T1]
nf_cons_inv [in hydras.Epsilon0.T1]
nf_inv3 [in hydras.Epsilon0.T1]
nf_inv2 [in hydras.Epsilon0.T1]
nf_inv1 [in hydras.Epsilon0.T1]
nf_epsilon [in hydras.Gamma0.T2]
nf_epsilon0 [in hydras.Gamma0.T2]
nf_omega [in hydras.Gamma0.T2]
nf_fin [in hydras.Gamma0.T2]
nf_bounded [in hydras.Schutte.CNF]
NF_Acc [in hydras.solutions_exercises.MultisetWf]
NF_inv2 [in hydras.solutions_exercises.MultisetWf]
NF_inv1 [in hydras.solutions_exercises.MultisetWf]
nf_ref [in gaia_hydras.T1Bridge]
nf_canon [in hydras.Epsilon0.Canon]
nf_proof_unicity [in hydras.Epsilon0.E0]
nf_m [in hydras.Hydra.Epsilon0_Needed_Generic]
nf_intro [in hydras.Gamma0.Gamma0]
nf_coeff_irrelevance [in hydras.Gamma0.Gamma0]
nf_Wf [in hydras.Gamma0.Gamma0]
nf_c2 [in hydras.Gamma0.Gamma0]
nf_c1 [in hydras.Gamma0.Gamma0]
nf_b2 [in hydras.Gamma0.Gamma0]
nf_b1 [in hydras.Gamma0.Gamma0]
nf_a2 [in hydras.Gamma0.Gamma0]
nf_a1 [in hydras.Gamma0.Gamma0]
nf_subterm [in hydras.Gamma0.Gamma0]
nf_fin_inv [in hydras.Gamma0.Gamma0]
nf_inv_tail [in hydras.Gamma0.Gamma0]
nf_c [in hydras.Gamma0.Gamma0]
nf_b [in hydras.Gamma0.Gamma0]
nf_a [in hydras.Gamma0.Gamma0]
nilTerms [in hydras.Ackermann.fol]
nImp [in hydras.Ackermann.LNN]
nImp [in hydras.Ackermann.LNT]
nImp [in hydras.Ackermann.folLogic]
nnE [in hydras.Ackermann.LNN]
nnE [in hydras.Ackermann.LNT]
nnE [in hydras.Ackermann.folLogic]
nnI [in hydras.Ackermann.LNN]
nnI [in hydras.Ackermann.LNT]
nnI [in hydras.Ackermann.folLogic]
nnPlusNotNeeded [in hydras.Ackermann.NNtheory]
nn1 [in hydras.Ackermann.NN]
nn2 [in hydras.Ackermann.NN]
NN2PA [in hydras.Ackermann.NN2PA]
nn3 [in hydras.Ackermann.NN]
nn4 [in hydras.Ackermann.NN]
nn5 [in hydras.Ackermann.NN]
nn6 [in hydras.Ackermann.NN]
nn7 [in hydras.Ackermann.NN]
NN72PA [in hydras.Ackermann.PAtheory]
nn8 [in hydras.Ackermann.NN]
NN82PA [in hydras.Ackermann.PAtheory]
nn9 [in hydras.Ackermann.NN]
NN92PA [in hydras.Ackermann.PAtheory]
noMiddle [in hydras.Ackermann.LNN]
noMiddle [in hydras.Ackermann.LNT]
noMiddle [in hydras.Ackermann.folLogic]
none_nb_occ_O [in hydras.rpo.more_list]
Non_denum [in hydras.Schutte.Schutte_basics]
nOr [in hydras.Ackermann.LNN]
nOr [in hydras.Ackermann.LNT]
nOr [in hydras.Ackermann.folLogic]
normal_phi0 [in hydras.Schutte.AP]
normal_plus_alpha [in hydras.Schutte.Addition]
notBoundedForall [in Goedel.PRrepresentable]
notCon2wNotCon [in hydras.Ackermann.wConsistent]
notInFreeVarSys [in hydras.Ackermann.folProp]
notRelPR [in hydras.Ackermann.primRec]
not_LT_zero [in hydras.Epsilon0.T1]
not_zero_lt [in hydras.Epsilon0.T1]
not_zero_gt_0 [in hydras.Epsilon0.T1]
not_lt_zero [in hydras.Epsilon0.T1]
not_double_is_s_double [in hydras.Prelude.More_Arith]
not_le_gt [in hydras.Prelude.DecPreOrder]
not_le_ge [in hydras.Prelude.DecPreOrder]
not_AP_inv2 [in hydras.Schutte.CNF]
not_AP_inv_0 [in hydras.Schutte.CNF]
not_acc [in hydras.solutions_exercises.MultisetWf]
not_countable_unbounded [in hydras.Schutte.Schutte_basics]
Not_Unbounded_countable [in hydras.Schutte.Schutte_basics]
Not_Unbounded_bounded [in hydras.Schutte.Schutte_basics]
not_is_succ_limit [in hydras.Schutte.Schutte_basics]
not_is_limit_succ [in hydras.Schutte.Schutte_basics]
not_is_limit_zero [in hydras.Schutte.Schutte_basics]
not_is_succ_zero [in hydras.Schutte.Schutte_basics]
not_lt_zero [in hydras.Schutte.Schutte_basics]
not_gt_le [in hydras.Schutte.Schutte_basics]
not_lt_zero [in hydras.Gamma0.Gamma0]
not_decreasing [in gaia_hydras.nfwfgaia]
not_decreasing [in hydras.solutions_exercises.T1_ltNotWf]
not_decreasing_aux [in hydras.solutions_exercises.T1_ltNotWf]
not_acc [in hydras.solutions_exercises.T1_ltNotWf]
Npos_power_compat [in additions.Compatibility]
Npos_gt_0 [in additions.More_on_positive]
Npos_diff_zero [in additions.More_on_positive]
nth_error_ok_in [in hydras.rpo.more_list]
nth_error_map [in hydras.rpo.more_list]
N_size_gt [in additions.Compatibility]
N_pow_compat [in additions.Compatibility]
N_pow_power [in additions.Compatibility]
N_bpow_commute [in additions.Pow_variant]
N_bpow_ok_R [in additions.Pow_variant]
N_bpow_ok [in additions.Pow_variant]
N_bpow_commute [in additions.Pow]
N_bpow_ok_R [in additions.Pow]
N_bpow_ok [in additions.Pow]
N_le_mul_pos [in additions.More_on_positive]
N_pos_div_eucl_q0 [in additions.More_on_positive]
N_pos_div_eucl_rest [in additions.More_on_positive]
N_pos_div_eucl_divides [in additions.More_on_positive]
N_pos_N2pos [in additions.More_on_positive]
N_le_1_pos [in additions.More_on_positive]
N_0_le_n [in additions.More_on_positive]
N_simpl [in hydras.Epsilon0.Hprime]
N2pos_lt_switch2 [in additions.More_on_positive]
N2pos_lt_switch [in additions.More_on_positive]
N2pos_pos [in additions.More_on_positive]

O

of_image [in hydras.Schutte.Ordering_Functions]
of_beta' [in hydras.Schutte.Ordering_Functions]
of_u [in hydras.Schutte.Addition]
of_g [in hydras.Schutte.Addition]
OK87 [in additions.Euclidean_Chains]
omeganf [in gaia_hydras.T1Bridge]
omega_limit [in hydras.Epsilon0.T1]
omega_term_def [in hydras.Epsilon0.T1]
omega_term_plus_rw [in hydras.Epsilon0.T1]
omega_ap [in hydras.OrdinalNotations.ON_Omega2]
Omega_limit_limitb [in hydras.OrdinalNotations.ON_Omega2]
omega_is_limit [in hydras.OrdinalNotations.ON_Omega2]
omega_mult_mlarge_0 [in hydras.Epsilon0.Large_Sets]
omega_tower_mono [in hydras.Schutte.AP]
omega_eqn [in hydras.Schutte.AP]
omega_second_AP [in hydras.Schutte.AP]
Omega_as_lub [in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_not_succ [in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_is_limit [in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega_ref [in gaia_hydras.T1Bridge]
Omega_limit_Limit [in hydras.Prelude.MoreOrders]
Omega_limit_not_Succ [in hydras.Prelude.MoreOrders]
omega_limit_least_gt [in hydras.Schutte.Schutte_basics]
omega_limit_least [in hydras.Schutte.Schutte_basics]
Omega_term_plus [in hydras.Epsilon0.E0]
omega_lt_wf [in gaia_hydras.onType]
omega_lt_epsilon [in hydras.Gamma0.Gamma0]
omega_lt_epsilon0 [in hydras.Gamma0.Gamma0]
ONDef.Exports.trichoP [in gaia_hydras.onType]
ONDef.Exports.wf [in gaia_hydras.onType]
one_ref [in gaia_hydras.T1Bridge]
one_mod_neutral_r [in additions.Monoid_instances]
one_mod_neutral_l [in additions.Monoid_instances]
one_plus_infinite [in hydras.Schutte.Addition]
one_plus_omega [in hydras.Schutte.Addition]
OO.lt_wf [in hydras.OrdinalNotations.OmegaOmega]
OO.lt_embed [in hydras.OrdinalNotations.OmegaOmega]
OO.nf_proof_unicity [in hydras.OrdinalNotations.OmegaOmega]
OO.OO_eq_intro [in hydras.OrdinalNotations.OmegaOmega]
OpaqueWf.lt_wf [in hydras.Prelude.Fuel]
openClosed [in hydras.Ackermann.folLogic]
oplusA [in gaia_hydras.GHessenberg]
oplusa0 [in gaia_hydras.GHessenberg]
oplusC [in gaia_hydras.GHessenberg]
oplusE [in gaia_hydras.GHessenberg]
oplus_lt_phi0 [in hydras.Epsilon0.Hessenberg]
oplus_of_phi0 [in hydras.Epsilon0.Hessenberg]
oplus_of_phi0_0 [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_bi [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_LT_r [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_LT_l [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_l [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_r [in hydras.Epsilon0.Hessenberg]
oplus_strict_mono_0 [in hydras.Epsilon0.Hessenberg]
oplus_le2 [in hydras.Epsilon0.Hessenberg]
oplus_le1 [in hydras.Epsilon0.Hessenberg]
oplus_lt2 [in hydras.Epsilon0.Hessenberg]
oplus_lt1 [in hydras.Epsilon0.Hessenberg]
oplus_lt_0 [in hydras.Epsilon0.Hessenberg]
oplus_assoc [in hydras.Epsilon0.Hessenberg]
oplus_assoc_0 [in hydras.Epsilon0.Hessenberg]
oplus_lt_rw2 [in hydras.Epsilon0.Hessenberg]
oplus_comm [in hydras.Epsilon0.Hessenberg]
oplus_comm_0 [in hydras.Epsilon0.Hessenberg]
oplus_nf [in hydras.Epsilon0.Hessenberg]
oplus_nf_0 [in hydras.Epsilon0.Hessenberg]
oplus_bounded_phi0 [in hydras.Epsilon0.Hessenberg]
oplus_cons_cons [in hydras.Epsilon0.Hessenberg]
oplus_eqn [in hydras.Epsilon0.Hessenberg]
oplus_compare_Gt [in hydras.Epsilon0.Hessenberg]
oplus_gt_rw [in hydras.Epsilon0.Hessenberg]
oplus_eq_rw [in hydras.Epsilon0.Hessenberg]
oplus_lt_rw [in hydras.Epsilon0.Hessenberg]
oplus_compare_Lt [in hydras.Epsilon0.Hessenberg]
oplus_0_l [in hydras.Epsilon0.Hessenberg]
oplus_0_r [in hydras.Epsilon0.Hessenberg]
oPlus_rw [in hydras.Epsilon0.E0]
oplus_lt_phi0 [in gaia_hydras.GHessenberg]
oplus_strict_mono_r [in gaia_hydras.GHessenberg]
oplus_strict_mono_l [in gaia_hydras.GHessenberg]
oplus_lt2 [in gaia_hydras.GHessenberg]
oplus_lt1 [in gaia_hydras.GHessenberg]
oplus_nf [in gaia_hydras.GHessenberg]
oplus0b [in gaia_hydras.GHessenberg]
optimal_upper_bound [in additions.Addition_Chains]
ordering_function_least_least [in hydras.Schutte.Ordering_Functions]
ordering_unbounded_unbounded [in hydras.Schutte.Ordering_Functions]
ordering_function_ex [in hydras.Schutte.Ordering_Functions]
ordering_segment_ex_unique [in hydras.Schutte.Ordering_Functions]
ordering_segments_of_B [in hydras.Schutte.Ordering_Functions]
ordering_function_seg_unicity [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity [in hydras.Schutte.Ordering_Functions]
ordering_le [in hydras.Schutte.Ordering_Functions]
ordering_function_seg [in hydras.Schutte.Ordering_Functions]
ordering_function_mono_weakR [in hydras.Schutte.Ordering_Functions]
Ordering_bijection [in hydras.Schutte.Ordering_Functions]
ordering_function_monoR [in hydras.Schutte.Ordering_Functions]
ordering_function_mono_weak [in hydras.Schutte.Ordering_Functions]
ordering_function_mono [in hydras.Schutte.Ordering_Functions]
ordering_function_In [in hydras.Schutte.Ordering_Functions]
ordinal_ok [in hydras.Schutte.Schutte_basics]
ordinal_segment [in hydras.Schutte.Ordering_Functions]
ord_eq [in hydras.Schutte.Ordering_Functions]
ord_ok [in hydras.Schutte.Ordering_Functions]
orE [in hydras.Ackermann.LNN]
orE [in hydras.Ackermann.LNT]
orE [in hydras.Ackermann.folLogic]
orI1 [in hydras.Ackermann.LNN]
orI1 [in hydras.Ackermann.LNT]
orI1 [in hydras.Ackermann.folLogic]
orI2 [in hydras.Ackermann.LNN]
orI2 [in hydras.Ackermann.LNT]
orI2 [in hydras.Ackermann.folLogic]
orRelPR [in hydras.Ackermann.primRec]
orSym [in hydras.Ackermann.LNN]
orSym [in hydras.Ackermann.LNT]
orSym [in hydras.Ackermann.folLogic]
orSys [in hydras.Ackermann.LNN]
orSys [in hydras.Ackermann.LNT]
orSys [in hydras.Ackermann.folLogic]
o_finite_mult_mono [in hydras.Epsilon0.Hessenberg]
o_finite_mult_lt_phi0_1 [in hydras.Epsilon0.Hessenberg]
o_finite_mult_rw [in hydras.Epsilon0.Hessenberg]
o_finite_mult_nf [in hydras.Epsilon0.Hessenberg]
o_finite_mult_S_rw [in hydras.Hydra.Hydra_Termination]
o2iota [in hydras.Hydra.Epsilon0_Needed_Std]
o2iota_1 [in hydras.Hydra.Epsilon0_Needed_Std]
o2iota_0 [in hydras.Hydra.Epsilon0_Needed_Std]

P

PAboundedLT [in hydras.Ackermann.NN2PA]
PAconsistent [in hydras.Ackermann.PAconsistent]
PAdec [in hydras.Ackermann.PA]
PAIncomplete [in Goedel.rosserPA]
paPlusSym [in hydras.Ackermann.PAtheory]
param_correctness_for_free [in additions.Addition_Chains]
param_correctness [in additions.Addition_Chains]
param_correctness_nat [in additions.Addition_Chains]
param_correctness_aux [in additions.Addition_Chains]
path_to_round_plus [in hydras.Hydra.O2H]
path_toS_round_plus [in hydras.Hydra.O2H]
path_toS_trace [in hydras.Hydra.O2H]
path_to_LT [in gaia_hydras.GPaths]
path_to_iff1 [in gaia_hydras.GPaths]
path_to_inv1 [in gaia_hydras.GPaths]
path_to_omega_mult [in hydras.Epsilon0.Large_Sets]
path_to_standard_equiv [in hydras.Epsilon0.Paths]
path_toS_standardS_equiv [in hydras.Epsilon0.Paths]
path_to_S_standard_pathS [in hydras.Epsilon0.Paths]
path_to_S_iota_from [in hydras.Epsilon0.Paths]
path_to_LT [in hydras.Epsilon0.Paths]
path_toS_LT [in hydras.Epsilon0.Paths]
path_to_gnaw [in hydras.Epsilon0.Paths]
path_to_mult [in hydras.Epsilon0.Paths]
path_toS_mult [in hydras.Epsilon0.Paths]
path_to_tail [in hydras.Epsilon0.Paths]
path_toS_tail [in hydras.Epsilon0.Paths]
path_to_not_In_zero [in hydras.Epsilon0.Paths]
path_to_zero [in hydras.Epsilon0.Paths]
path_toS_zero [in hydras.Epsilon0.Paths]
path_toS_zero_inv [in hydras.Epsilon0.Paths]
path_toS_zero_one [in hydras.Epsilon0.Paths]
path_toS_zero_but_last [in hydras.Epsilon0.Paths]
path_to_appR [in hydras.Epsilon0.Paths]
path_toS_appR [in hydras.Epsilon0.Paths]
path_to_decompose [in hydras.Epsilon0.Paths]
path_toS_decompose [in hydras.Epsilon0.Paths]
path_to_app [in hydras.Epsilon0.Paths]
path_toS_app [in hydras.Epsilon0.Paths]
path_toS_gnawS [in hydras.Epsilon0.Paths]
path_acc_from [in hydras.Epsilon0.Paths]
path_toS_nf [in hydras.Epsilon0.Paths]
path_to_path_toS_iff [in hydras.Epsilon0.Paths]
path_to_path_toS [in hydras.Epsilon0.Paths]
path_toS_path_to [in hydras.Epsilon0.Paths]
path_to_interval_inv_le [in hydras.Epsilon0.Paths]
path_to_not_nil [in hydras.Epsilon0.Paths]
paZeroOrSucc [in hydras.Ackermann.PAtheory]
PA_Succ [in hydras.Epsilon0.Hprime]
PA_Zero [in hydras.Epsilon0.Hprime]
pa1 [in hydras.Ackermann.PA]
pa2 [in hydras.Ackermann.PA]
pa3 [in hydras.Ackermann.PA]
pa4 [in hydras.Ackermann.PA]
pa5 [in hydras.Ackermann.PA]
pa6 [in hydras.Ackermann.PA]
PC_Zero [in hydras.Epsilon0.Hprime]
PD_Zero [in hydras.Epsilon0.Hprime]
PF87 [in additions.Euclidean_Chains]
phi_mono_RR [in hydras.Gamma0.Gamma0]
phi_psi [in hydras.Gamma0.Gamma0]
phi_to_psi_6 [in hydras.Gamma0.Gamma0]
phi_to_psi_5 [in hydras.Gamma0.Gamma0]
phi_to_psi_4 [in hydras.Gamma0.Gamma0]
phi_to_psi_3 [in hydras.Gamma0.Gamma0]
phi_to_psi_2 [in hydras.Gamma0.Gamma0]
phi_to_psi_1 [in hydras.Gamma0.Gamma0]
phi_inj_r [in hydras.Gamma0.Gamma0]
phi_mono_weak_r [in hydras.Gamma0.Gamma0]
phi_mono_r [in hydras.Gamma0.Gamma0]
phi_of_psi_plus_fin [in hydras.Gamma0.Gamma0]
phi_alpha_zero_gt_alpha [in hydras.Gamma0.Gamma0]
phi_principalR [in hydras.Gamma0.Gamma0]
phi_spec1 [in hydras.Gamma0.Gamma0]
phi_le_ge [in hydras.Gamma0.Gamma0]
phi_le [in hydras.Gamma0.Gamma0]
phi_fix [in hydras.Gamma0.Gamma0]
phi_of_any_cons [in hydras.Gamma0.Gamma0]
phi_nf [in hydras.Gamma0.Gamma0]
phi_cases [in hydras.Gamma0.Gamma0]
phi_cases' [in hydras.Gamma0.Gamma0]
phi_cases_aux [in hydras.Gamma0.Gamma0]
phi_of_psi_succ [in hydras.Gamma0.Gamma0]
phi_alpha_zero [in hydras.Gamma0.Gamma0]
phi_principal [in hydras.Gamma0.Gamma0]
phi_to_psi [in hydras.Gamma0.Gamma0]
phi_of_psi [in hydras.Gamma0.Gamma0]
phi0_eq [in hydras.Epsilon0.T1]
phi0_eq_bad [in hydras.Epsilon0.T1]
phi0_plus_mult [in hydras.Epsilon0.T1]
phi0_mono [in hydras.Epsilon0.T1]
phi0_mono_strict_LT [in hydras.Epsilon0.T1]
phi0_mono_strict [in hydras.Epsilon0.T1]
phi0_ltR [in hydras.Epsilon0.T1]
phi0_lt [in hydras.Epsilon0.T1]
phi0_mult_plus_lt_phi0R [in hydras.Schutte.Correctness_E0]
phi0_mult_plus_lt_phi0 [in hydras.Schutte.Correctness_E0]
phi0_mult_lt_phi0 [in hydras.Schutte.Correctness_E0]
phi0_well_named [in hydras.Schutte.Critical]
phi0_lt_epsilon0_R [in hydras.Schutte.AP]
phi0_lt_epsilon0 [in hydras.Schutte.AP]
phi0_of_limit [in hydras.Schutte.AP]
phi0_sup [in hydras.Schutte.AP]
phi0_alpha_phi0_beta [in hydras.Schutte.AP]
phi0_positive [in hydras.Schutte.AP]
phi0_inj [in hydras.Schutte.AP]
phi0_mono_R_weak [in hydras.Schutte.AP]
phi0_mono_R [in hydras.Schutte.AP]
phi0_mono_weak [in hydras.Schutte.AP]
phi0_mono [in hydras.Schutte.AP]
phi0_zero [in hydras.Schutte.AP]
phi0_elim [in hydras.Schutte.AP]
phi0_ordering [in hydras.Schutte.AP]
phi0_ref [in gaia_hydras.T1Bridge]
phi0_mono [in hydras.Epsilon0.E0]
Phi0_def [in hydras.Epsilon0.Hprime]
plus_cons_cons_eqn [in hydras.Epsilon0.T1]
plus_smono_LT_r [in hydras.Epsilon0.T1]
plus_compat [in hydras.Epsilon0.T1]
plus_left_absorb [in hydras.Epsilon0.T1]
plus_is_zero [in hydras.Epsilon0.T1]
plus_nf [in hydras.Epsilon0.T1]
plus_nf0 [in hydras.Epsilon0.T1]
plus_cons_cons_rw3 [in hydras.Epsilon0.T1]
plus_cons_cons_rw2 [in hydras.Epsilon0.T1]
plus_cons_cons_rw1 [in hydras.Epsilon0.T1]
plus_zero_r [in hydras.Epsilon0.T1]
plus_zero [in hydras.Epsilon0.T1]
plus_alpha_mult_phi0 [in hydras.Schutte.Correctness_E0]
plus_compat [in hydras.OrdinalNotations.ON_Omega2]
plus_2 [in hydras.Prelude.More_Arith]
plus_lt_phi0 [in hydras.Schutte.AP]
plus_ref [in gaia_hydras.T1Bridge]
Plus_rw [in hydras.Epsilon0.E0]
plus_mono_l_weak [in hydras.Gamma0.Gamma0]
plus_mono_r [in hydras.Gamma0.Gamma0]
plus_nf [in hydras.Gamma0.Gamma0]
plus_alpha_0 [in hydras.Gamma0.Gamma0]
plus_mono_bi [in hydras.Schutte.Addition]
plus_mono_weak_l [in hydras.Schutte.Addition]
plus_assoc' [in hydras.Schutte.Addition]
plus_assoc3 [in hydras.Schutte.Addition]
plus_assoc2 [in hydras.Schutte.Addition]
plus_assoc1 [in hydras.Schutte.Addition]
plus_FF [in hydras.Schutte.Addition]
plus_limit [in hydras.Schutte.Addition]
plus_reg_r [in hydras.Schutte.Addition]
plus_mono_r_weak [in hydras.Schutte.Addition]
plus_of_succ [in hydras.Schutte.Addition]
plus_mono_r [in hydras.Schutte.Addition]
plus_elim [in hydras.Schutte.Addition]
plus_ordering [in hydras.Schutte.Addition]
plus_correct [in hydras.MoreAck.PrimRecExamples]
positive_4step_ind [in additions.More_on_positive]
Pos_to_nat_diff_0 [in additions.AM]
Pos_pow_compat [in additions.Compatibility]
Pos_pow_power [in additions.Compatibility]
Pos_iter_ok [in additions.Compatibility]
Pos_iter_op_ok [in additions.Compatibility]
Pos_iter_op_ok_0 [in additions.Compatibility]
Pos_bpow_ok_R [in additions.Pow_variant]
Pos_bpow_ok [in additions.Pow_variant]
Pos_bpow_of_bpow [in additions.Pow]
Pos_bpow_of_plus [in additions.Pow]
Pos_bpow_ok_R [in additions.Pow]
Pos_bpow_ok [in additions.Pow]
pos_div_eucl_quotient_lt [in additions.More_on_positive]
pos_div_eucl_quotient_pos [in additions.More_on_positive]
pos_gt_3 [in additions.More_on_positive]
pos_lt_wf [in additions.More_on_positive]
pos_lt_mul [in additions.More_on_positive]
pos_le_mul [in additions.More_on_positive]
Pos_to_nat_neq_0 [in additions.More_on_positive]
Pos2Nat_morph [in additions.Compatibility]
Pos2Nat_le_n_pn [in additions.More_on_positive]
Pos2Nat_le_1_p [in additions.More_on_positive]
pos2N_inj_add [in additions.More_on_positive]
pos2N_inj_lt [in additions.More_on_positive]
power_of_1 [in hydras.Prelude.More_Arith]
power_of_mult [in additions.Pow_variant]
power_of_square [in additions.Pow_variant]
power_of_power [in additions.Pow_variant]
power_commute_with_x [in additions.Pow_variant]
power_commute [in additions.Pow_variant]
power_of_plus [in additions.Pow_variant]
power_eq3 [in additions.Pow_variant]
power_eq2 [in additions.Pow_variant]
power_eq1 [in additions.Pow_variant]
power_of_mult [in additions.Pow]
power_of_square [in additions.Pow]
power_of_power_comm [in additions.Pow]
power_of_power [in additions.Pow]
power_commute_with_x [in additions.Pow]
power_commute [in additions.Pow]
power_of_plus [in additions.Pow]
power_eq3 [in additions.Pow]
power_eq2 [in additions.Pow]
power_eq1 [in additions.Pow]
power_R_is_a_refinement [in additions.Addition_Chains]
power_R_1 [in additions.Addition_Chains]
power_R_Mult [in additions.Addition_Chains]
pow3Min [in hydras.Ackermann.codeSubFormula]
pow3Monotone [in hydras.Ackermann.codeSubFormula]
PO1 [in additions.Euclidean_Chains]
PO2 [in additions.Euclidean_Chains]
PO3 [in additions.Euclidean_Chains]
PO4 [in additions.Euclidean_Chains]
PO6 [in additions.Euclidean_Chains]
PO8 [in additions.Euclidean_Chains]
PO9 [in additions.Euclidean_Chains]
Predecessor_unicity [in hydras.solutions_exercises.predSuccUnicity]
pred_nf [in hydras.Epsilon0.T1]
pred_LT [in hydras.Epsilon0.T1]
pred_of_limitR [in hydras.Epsilon0.T1]
pred_of_limit [in hydras.Epsilon0.T1]
pred_of_succ [in hydras.Epsilon0.T1]
pred_of_power [in hydras.Prelude.More_Arith]
pred_of_succ [in hydras.Gamma0.Gamma0]
pred_of_limit [in hydras.Gamma0.Gamma0]
pred_of_cons' [in hydras.Gamma0.Gamma0]
pred_of_cons [in hydras.Gamma0.Gamma0]
preserveValue [in hydras.Ackermann.model]
primRecRepresentable [in Goedel.PRrepresentable]
primRecRepresentable1 [in Goedel.PRrepresentable]
primRecSigmaRepresentable [in Goedel.PRrepresentable]
PrimRec_2_S [in hydras.MoreAck.PrimRecExamples]
PrimRec_2_0 [in hydras.MoreAck.PrimRecExamples]
PrimRec_1_S [in hydras.MoreAck.PrimRecExamples]
PrimRec_1_0 [in hydras.MoreAck.PrimRecExamples]
PrimRec_0_S [in hydras.MoreAck.PrimRecExamples]
PrimRec_0_0 [in hydras.MoreAck.PrimRecExamples]
Progressive_Acc [in hydras.Schutte.Schutte_basics]
projectionListApplyParam [in hydras.Ackermann.primRec]
projectionListId [in hydras.Ackermann.primRec]
projectionListInd [in hydras.Ackermann.primRec]
projRepresentable [in Goedel.PRrepresentable]
proj_le_max [in hydras.MoreAck.AckNotPR]
Proper_A [in hydras.Schutte.Ordering_Functions]
proper_of_proper [in hydras.Schutte.Ordering_Functions]
proper_members [in hydras.Schutte.Ordering_Functions]
Proposition_2_3a [in hydras.Epsilon0.Paths]
prop_map12_without_repetition [in hydras.rpo.more_list]
prop_map_without_repetition [in hydras.rpo.more_list]
psi_eq [in hydras.Gamma0.T2]
psi_principal [in hydras.Gamma0.Gamma0]
psi_lt_epsilon0 [in hydras.Gamma0.Gamma0]
psi_lt_head [in hydras.Gamma0.Gamma0]
psi_le_cons [in hydras.Gamma0.Gamma0]
PZero [in hydras.Epsilon0.F_alpha]
PZero [in hydras.Epsilon0.Hprime]
P_3 [in hydras.solutions_exercises.F_3]
P_alpha [in hydras.Epsilon0.Hprime]
P_alpha_0 [in hydras.Epsilon0.Hprime]
P_well_founded_induction_type [in gaia_hydras.nfwfgaia]
P0 [in hydras.MoreAck.Ack]

Q

QA0 [in hydras.Epsilon0.F_alpha]
QD0 [in hydras.Epsilon0.F_alpha]

R

RAlim [in hydras.Epsilon0.F_alpha]
RAlim [in hydras.Epsilon0.Hprime]
RB [in hydras.Epsilon0.F_alpha]
RB [in hydras.Epsilon0.Hprime]
RBlim [in hydras.Epsilon0.F_alpha]
RBlim [in hydras.Epsilon0.Hprime]
RC [in hydras.Epsilon0.F_alpha]
RC [in hydras.Epsilon0.Hprime]
RClim [in hydras.Epsilon0.F_alpha]
RClim [in hydras.Epsilon0.Hprime]
RD [in hydras.Epsilon0.F_alpha]
RD [in hydras.Epsilon0.Hprime]
RDlim [in hydras.Epsilon0.F_alpha]
RDlim [in hydras.Epsilon0.Hprime]
RE [in hydras.Epsilon0.F_alpha]
RE [in hydras.Epsilon0.Hprime]
reachable_S [in hydras.Hydra.BigBattle]
rebindExist [in hydras.Ackermann.folLogic2]
rebindForall [in hydras.Ackermann.folLogic2]
reduceAddExists [in Goedel.PRrepresentable]
reduceAddExistsOneWay [in Goedel.PRrepresentable]
reduceAddForalls [in Goedel.PRrepresentable]
reduceAnd [in hydras.Ackermann.folReplace]
reduceCloseList [in hydras.Ackermann.folReplace]
reduceExist [in hydras.Ackermann.folReplace]
reduceForall [in hydras.Ackermann.folReplace]
reduceIff [in hydras.Ackermann.folReplace]
reduceIfThenElse [in hydras.Ackermann.folReplace]
reduceImp [in hydras.Ackermann.folReplace]
reduceNot [in hydras.Ackermann.folReplace]
reduceOr [in hydras.Ackermann.folReplace]
reduceSub [in hydras.Ackermann.folReplace]
reduceSubAll [in hydras.Ackermann.subAll]
reduce_lt_plus [in hydras.Epsilon0.T1]
reduce_assoc_list [in hydras.rpo.more_list]
reduce1stCompose [in hydras.Ackermann.primRec]
reduce2ndCompose [in hydras.Ackermann.primRec]
refines1_R [in gaia_hydras.T1Bridge]
refines2_R [in gaia_hydras.T1Bridge]
RElim [in hydras.Epsilon0.F_alpha]
RElim [in hydras.Epsilon0.Hprime]
remove_first_sumand [in hydras.Epsilon0.T1]
remove_heads_r_free [in hydras.Hydra.Hydra_Lemmas]
remove_heads_r [in hydras.Hydra.Hydra_Lemmas]
Rem0 [in hydras.Epsilon0.Paths]
Rem01 [in hydras.Epsilon0.Paths]
Rem02 [in hydras.Epsilon0.Paths]
Rem03 [in hydras.Epsilon0.Paths]
Rem04 [in hydras.Epsilon0.Paths]
Rem05 [in hydras.Epsilon0.Paths]
Rem06 [in hydras.Epsilon0.Paths]
Rem08 [in hydras.Epsilon0.Paths]
Rem09 [in hydras.Epsilon0.Paths]
rem1 [in hydras.Hydra.O2H]
Rem1 [in hydras.MoreAck.Ack]
Rem1 [in hydras.Epsilon0.Paths]
Rem10 [in hydras.Epsilon0.Paths]
Rem11 [in hydras.Epsilon0.Paths]
rem2 [in hydras.Hydra.O2H]
Rem2 [in hydras.MoreAck.Ack]
Rem2 [in hydras.Epsilon0.Paths]
rem3 [in hydras.Hydra.O2H]
Rem3 [in hydras.MoreAck.Ack]
Rem3 [in hydras.Hydra.Epsilon0_Needed_Std]
Rem4 [in hydras.Hydra.Epsilon0_Needed_Std]
rem6 [in hydras.Hydra.O2H]
rem61 [in hydras.Hydra.O2H]
rem62 [in hydras.Hydra.O2H]
replaceCompose2 [in hydras.Ackermann.primRec]
ReplaceFormulaTermMonotone [in hydras.Ackermann.codeSubFormula]
ReplaceFormulaTermSub [in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermMonotone [in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermSub [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermMonotone [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTermMonotone [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermSub [in hydras.Ackermann.codeSubFormula]
RepresentableAlternate [in hydras.Ackermann.expressible]
RepresentableHalfHelp [in hydras.Ackermann.expressible]
RepresentableHalf1Alternate [in hydras.Ackermann.expressible]
RepresentableHalf2Alternate [in hydras.Ackermann.expressible]
Representable_ext [in hydras.Ackermann.expressible]
Representable2Expressible [in hydras.Ackermann.expressible]
restrict [in hydras.Schutte.Ordering_Functions]
restriction_fwd [in hydras.Prelude.Restriction]
Rosser'sIncompleteness [in Goedel.rosserPA]
Rosser'sIncompleteness [in Goedel.rosser]
rounds_free_equiv2 [in hydras.Hydra.Hydra_Lemmas]
rounds_free_equiv1 [in hydras.Hydra.Hydra_Lemmas]
rounds_trans [in hydras.Hydra.Hydra_Lemmas]
round_decr [in hydras.Hydra.Hydra_Termination]
round_n_inv [in hydras.Hydra.Hydra_Lemmas]
round_n_remove_h [in hydras.Hydra.Hydra_Lemmas]
round_plus_trans [in hydras.Hydra.Hydra_Lemmas]
round_S [in hydras.Hydra.Omega_Small]
round_star_intro [in hydras.Hydra.Hydra_Definitions]
RP [in hydras.Epsilon0.F_alpha]
RP [in hydras.Epsilon0.Hprime]
rpo_7_1 [in hydras.Gamma0.Gamma0]
rpo_6_4 [in hydras.Gamma0.Gamma0]
rpo_6_1 [in hydras.Gamma0.Gamma0]
rpo_5_4 [in hydras.Gamma0.Gamma0]
rpo_5_1 [in hydras.Gamma0.Gamma0]
rpo_5_3 [in hydras.Gamma0.Gamma0]
rpo_5_2 [in hydras.Gamma0.Gamma0]
rpo_4_4 [in hydras.Gamma0.Gamma0]
rpo_4_1 [in hydras.Gamma0.Gamma0]
rpo_4_3 [in hydras.Gamma0.Gamma0]
rpo_4_2 [in hydras.Gamma0.Gamma0]
rpo_3_4 [in hydras.Gamma0.Gamma0]
rpo_3_1 [in hydras.Gamma0.Gamma0]
rpo_3_3 [in hydras.Gamma0.Gamma0]
rpo_3_2 [in hydras.Gamma0.Gamma0]
rpo_2_4 [in hydras.Gamma0.Gamma0]
rpo_2_1 [in hydras.Gamma0.Gamma0]
rpo_2_3 [in hydras.Gamma0.Gamma0]
rpo_2_2 [in hydras.Gamma0.Gamma0]
rpo_trans [in hydras.Gamma0.Gamma0]
Rwf [in hydras.Prelude.First_toggle]
R_nat_elaguee_domain [in hydras.Schutte.GRelations]
R_nat_elaguee_fun [in hydras.Schutte.GRelations]
R_inv_inj [in hydras.Schutte.GRelations]
R_inv_surj [in hydras.Schutte.GRelations]
R_pred_Sn [in hydras.Gamma0.Gamma0]
R_inc_rpo [in hydras.Gamma0.Gamma0]
R0 [in hydras.MoreAck.Ack]
R0 [in hydras.Hydra.Battle_length]
R0 [in gaia_hydras.onType]
R0 [in hydras.Epsilon0.Hprime]
R00 [in hydras.Epsilon0.F_omega]
R00 [in hydras.solutions_exercises.isqrt]
R01 [in hydras.solutions_exercises.isqrt]
R02 [in hydras.solutions_exercises.isqrt]
R1 [in hydras.solutions_exercises.is_F_monotonous]
R1 [in hydras.Epsilon0.F_alpha]
R1 [in hydras.MoreAck.AckNotPR]
R1 [in hydras.Epsilon0.Large_Sets]
R1 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
R1 [in hydras.MoreAck.Ack]
R1 [in hydras.solutions_exercises.schutte_cnf_counter_example]
R1 [in gaia_hydras.onType]
R1 [in hydras.solutions_exercises.F_3]
R1 [in hydras.Epsilon0.Hprime]
R1 [in hydras.Gamma0.Gamma0]
R1 [in hydras.MoreAck.FolExamples]
R1_mem_head [in hydras.Hydra.O2H]
R1_R2 [in hydras.Hydra.O2H]
R1_hcons_mult [in hydras.Hydra.O2H]
R1_hcons [in hydras.Hydra.O2H]
R1_decr [in hydras.Hydra.Hydra_Termination]
R1_decr_0 [in hydras.Hydra.Hydra_Termination]
R1_remove_r_i [in hydras.Hydra.Hydra_Lemmas]
R1_app [in hydras.Hydra.Hydra_Lemmas]
R1_iff [in hydras.Hydra.Hydra_Lemmas]
R1_aux [in hydras.Schutte.Ordering_Functions]
R12 [in hydras.Epsilon0.Paths]
R13 [in hydras.Epsilon0.Paths]
R14 [in hydras.Epsilon0.Paths]
R15 [in hydras.Epsilon0.Paths]
R16 [in hydras.Epsilon0.Paths]
R17 [in hydras.Epsilon0.Paths]
R18 [in hydras.Epsilon0.Paths]
R19 [in hydras.Epsilon0.Paths]
R2 [in hydras.solutions_exercises.is_F_monotonous]
R2 [in hydras.Epsilon0.Large_Sets]
R2 [in hydras.MoreAck.Ack]
R2 [in hydras.solutions_exercises.schutte_cnf_counter_example]
R2 [in hydras.Hydra.Battle_length]
R2 [in hydras.Epsilon0.Hprime]
R2 [in hydras.Schutte.Ordering_Functions]
R2 [in hydras.Gamma0.Gamma0]
R2_decr [in hydras.Hydra.Hydra_Termination]
R2_decr_0 [in hydras.Hydra.Hydra_Termination]
R2_app [in hydras.Hydra.Hydra_Lemmas]
R2_iff [in hydras.Hydra.Hydra_Lemmas]
R20 [in hydras.Epsilon0.Paths]
R21 [in hydras.Epsilon0.Paths]
R22 [in hydras.Epsilon0.Paths]
R23 [in hydras.Epsilon0.Paths]
R24 [in hydras.Epsilon0.Paths]
R25 [in hydras.Epsilon0.Paths]
R26 [in hydras.Epsilon0.Paths]
R27 [in hydras.Epsilon0.Paths]
R28 [in hydras.Epsilon0.Paths]
R29 [in hydras.Epsilon0.Paths]
R3 [in hydras.solutions_exercises.is_F_monotonous]
R3 [in hydras.MoreAck.Ack]
R3 [in hydras.solutions_exercises.schutte_cnf_counter_example]
R3 [in hydras.Hydra.Battle_length]
R3 [in hydras.solutions_exercises.F_3]
R3 [in hydras.Epsilon0.Hprime]
R3 [in hydras.Schutte.Ordering_Functions]
R3 [in hydras.Gamma0.Gamma0]
R3' [in hydras.solutions_exercises.F_3]
R30 [in hydras.Epsilon0.Paths]
R31 [in hydras.Epsilon0.Paths]
R31_0 [in hydras.Epsilon0.Paths]
R4 [in hydras.solutions_exercises.is_F_monotonous]
R4 [in hydras.Hydra.Battle_length]
R4 [in hydras.solutions_exercises.F_3]
R4 [in hydras.Epsilon0.Hprime]
R4 [in hydras.Schutte.Ordering_Functions]
R4 [in hydras.Gamma0.Gamma0]
R4_3_4 [in hydras.Epsilon0.Paths]
R4_3_3 [in hydras.Epsilon0.Paths]
R4_3_2 [in hydras.Epsilon0.Paths]
R4_3_1 [in hydras.Epsilon0.Paths]
R4' [in hydras.Schutte.Ordering_Functions]
R4'' [in hydras.Schutte.Ordering_Functions]
R42 [in hydras.Schutte.Ordering_Functions]
R5 [in hydras.Epsilon0.F_omega]
R5 [in hydras.MoreAck.Ack]
R5 [in hydras.Hydra.Battle_length]
R5 [in hydras.solutions_exercises.F_3]
R5 [in hydras.Epsilon0.Hprime]
R5 [in hydras.Schutte.Ordering_Functions]
R5 [in hydras.Gamma0.Gamma0]
R6 [in hydras.solutions_exercises.is_F_monotonous]
R6 [in hydras.Hydra.Battle_length]
R6 [in hydras.Schutte.Ordering_Functions]
R7 [in hydras.Schutte.Ordering_Functions]

S

SA1 [in hydras.Schutte.Ordering_Functions]
SA2 [in hydras.Schutte.Ordering_Functions]
searchProof [in Goedel.rosserPA]
searchProof [in Goedel.rosser]
SecondIncompletness [in Goedel.goedel2]
segment_lt_closed [in hydras.Schutte.Ordering_Functions]
segment_the_ordering_segment [in hydras.Schutte.Ordering_Functions]
segment_unbounded [in hydras.Schutte.Ordering_Functions]
segment_lt [in hydras.Schutte.Ordering_Functions]
self_lt_free [in hydras.Hydra.Epsilon0_Needed_Free]
self_lt_standard [in hydras.Hydra.Epsilon0_Needed_Std]
seq_mono_inj [in hydras.Schutte.Schutte_basics]
seq_mono_intro [in hydras.Schutte.Schutte_basics]
seq_range_countable [in hydras.Schutte.Countable]
shift_unshift [in hydras.Prelude.MoreLists]
shift_no_zero [in hydras.Prelude.MoreLists]
shift_interval [in hydras.Prelude.MoreLists]
shift_iota_from [in hydras.Prelude.MoreLists]
sig_eq_intro [in hydras.OrdinalNotations.ON_Finite]
simple_last_app1 [in hydras.Prelude.MoreLists]
simple_last_app [in hydras.Prelude.MoreLists]
simple_last_correct [in hydras.Prelude.MoreLists]
single_nf [in hydras.Epsilon0.T1]
smallestExists [in hydras.Prelude.MoreDecidable]
small_lemma [in hydras.Epsilon0.Paths]
SmNotPR [in hydras.Hydra.Hydra_Theorems]
smono_Sle [in hydras.Prelude.Iterates]
some_nb_occ_Sn [in hydras.rpo.more_list]
sorted_ge_suffix [in hydras.Prelude.MoreLists]
sorted_max_2 [in hydras.Prelude.MoreLists]
sorted_cut [in hydras.Prelude.MoreLists]
sorted_max_1 [in hydras.Prelude.MoreLists]
sorted_not_in_tail [in hydras.Prelude.MoreLists]
sorted_In [in hydras.Prelude.MoreLists]
sorted_ge_prefix [in hydras.Prelude.MoreLists]
sorted_ge_iff [in hydras.Prelude.MoreLists]
sorted_ge_iff0 [in hydras.Prelude.MoreLists]
Sorted_mono [in hydras.Prelude.MoreLists]
sorted_head [in hydras.Prelude.MoreLists]
sorted_tail' [in hydras.Prelude.MoreLists]
sorted_tail [in hydras.Prelude.MoreLists]
sorted_le [in hydras.Prelude.MoreLists]
sorted_inv_gt [in hydras.Prelude.MoreLists]
sorted_ge_not_In [in hydras.Prelude.MoreLists]
sorted_ge_trans [in hydras.Prelude.MoreLists]
sorted_ge_Forall [in hydras.Prelude.MoreLists]
sorted_lt [in hydras.Schutte.CNF]
sorted_lt_lt_2 [in hydras.Schutte.CNF]
sorted_lt_lt [in hydras.Schutte.CNF]
sorted_tail [in hydras.Schutte.CNF]
split_list_app_cons [in hydras.rpo.more_list]
split_permutation [in hydras.Prelude.Merge_Sort]
split_decr [in hydras.Prelude.Merge_Sort]
split'_permutation [in hydras.Prelude.Merge_Sort]
split'_aux_eq [in hydras.Prelude.Merge_Sort]
split'_decr [in hydras.Prelude.Merge_Sort]
split'_aux_length_fst [in hydras.Prelude.Merge_Sort]
split'_aux_length_preserve [in hydras.Prelude.Merge_Sort]
sp_mergesort_OK [in hydras.Prelude.Merge_Sort]
sqrt_correct [in hydras.solutions_exercises.isqrt]
sqr_eqn [in additions.Pow_variant]
sqr_eqn [in additions.Pow]
stable_mergesort_OK [in hydras.Prelude.Merge_Sort]
standard_gnaw_iota_from [in gaia_hydras.GPaths]
standard_battle_head [in hydras.Hydra.Hydra_Lemmas]
standard_incl_free [in hydras.Hydra.Hydra_Lemmas]
standard_gnaw_2_zero [in hydras.Epsilon0.Paths]
standard_path_to_zero [in hydras.Epsilon0.Paths]
standard_gnaw_to_zero [in hydras.Epsilon0.Paths]
standard_pathS_app [in hydras.Epsilon0.Paths]
standard_path_equiv_2 [in hydras.Epsilon0.Paths]
standard_path_equiv_1 [in hydras.Epsilon0.Paths]
standard_gnaw_nf [in hydras.Epsilon0.Paths]
standard_gnaw_to_path [in hydras.Epsilon0.Paths]
standard_gnaw_S_zero [in hydras.Epsilon0.Paths]
standard_path_compose [in hydras.Epsilon0.Paths]
standard_path_lt2 [in hydras.Epsilon0.Paths]
standard_path_zero [in hydras.Epsilon0.Paths]
standard_path_to_nf [in hydras.Epsilon0.Paths]
standard_path_LE [in hydras.Epsilon0.Paths]
standard_gnaw_plus [in hydras.Epsilon0.Paths]
standard_gnaw_iota_from [in hydras.Epsilon0.Paths]
standard_gnaw_zero [in hydras.Epsilon0.Paths]
standard_path_path_to [in hydras.Epsilon0.Paths]
standard_pathS_path_toS [in hydras.Epsilon0.Paths]
standard_path_origin [in hydras.Epsilon0.Paths]
standard_path_toS_zero [in hydras.Epsilon0.Paths]
standard_path_to_le_inv [in hydras.Epsilon0.Paths]
standard_path_toS_le_inv [in hydras.Epsilon0.Paths]
standard_path_unshift [in hydras.Epsilon0.Paths]
standard_path_unshift_0 [in hydras.Epsilon0.Paths]
standard_path_shift [in hydras.Epsilon0.Paths]
steps_rounds [in hydras.Hydra.BigBattle]
step_rounds [in hydras.Hydra.BigBattle]
step_to_battle [in hydras.Hydra.Omega2_Small]
strict_lub_T1limit [in hydras.Epsilon0.T1]
strict_lub_unique [in hydras.Epsilon0.T1]
strict_mono_iterate_S [in hydras.Prelude.Iterates]
strict_lub_ref [in gaia_hydras.T1Bridge]
subAddExistsNice [in Goedel.PRrepresentable]
subAddForallsNice [in Goedel.PRrepresentable]
subAllCloseFrom [in hydras.Ackermann.subAll]
subAllCloseFrom1 [in hydras.Ackermann.subAll]
subAllFormulaId [in hydras.Ackermann.subAll]
subAllFormula_ext [in hydras.Ackermann.subAll]
subAllnVars1 [in hydras.Ackermann.folLogic3]
subAllnVars2 [in hydras.Ackermann.folLogic3]
subAllSubAllFormula [in hydras.Ackermann.subAll]
subAllSubAllTerm [in hydras.Ackermann.subAll]
subAllSubAllTerms [in hydras.Ackermann.subAll]
subAllSubFormula [in hydras.Ackermann.subAll]
subAllTermId [in hydras.Ackermann.subAll]
subAllTermsId [in hydras.Ackermann.subAll]
subAllTerms_ext [in hydras.Ackermann.subAll]
subAllTerm_ext [in hydras.Ackermann.subAll]
subFormulaAnd [in hydras.Ackermann.folProp]
subFormulaDepth [in hydras.Ackermann.folProp]
subFormulaEqual [in hydras.Ackermann.folProp]
subFormulaExch [in hydras.Ackermann.subProp]
subFormulaExist [in hydras.Ackermann.folProp]
subFormulaExist2 [in hydras.Ackermann.folProp]
subFormulaForall [in hydras.Ackermann.folProp]
subFormulaForall2 [in hydras.Ackermann.folProp]
subFormulaId [in hydras.Ackermann.folProp]
subFormulaIff [in hydras.Ackermann.folProp]
subFormulaIfThenElse [in hydras.Ackermann.folProp]
subFormulaImp [in hydras.Ackermann.folProp]
subFormulaMinimize [in Goedel.PRrepresentable]
subFormulaNil [in hydras.Ackermann.subProp]
subFormulaNot [in hydras.Ackermann.folProp]
subFormulaNTE [in hydras.Ackermann.subProp]
subFormulaNTEHelp [in hydras.Ackermann.subProp]
subFormulaOr [in hydras.Ackermann.folProp]
subFormulaRelation [in hydras.Ackermann.folProp]
subFormulaTrans [in hydras.Ackermann.subProp]
subInterpFormula [in hydras.Ackermann.model]
subInterpFormula1 [in hydras.Ackermann.model]
subInterpFormula2 [in hydras.Ackermann.model]
subInterpRel [in hydras.Ackermann.model]
subInterpTerm [in hydras.Ackermann.model]
subNNHelp [in hydras.Ackermann.model]
SubON_least [in hydras.OrdinalNotations.ON_Generic]
SubON_limit [in hydras.OrdinalNotations.ON_Generic]
SubON_successor [in hydras.OrdinalNotations.ON_Generic]
SubON_inj [in hydras.OrdinalNotations.ON_Generic]
SubON_mono [in hydras.OrdinalNotations.ON_Generic]
substExHC [in hydras.Ackermann.folProp]
substituteFormulaForallNice [in hydras.Ackermann.folProp]
substituteFormulaImpNice [in hydras.Ackermann.folProp]
substituteFormulaNotNice [in hydras.Ackermann.folProp]
subSubAllFormula [in hydras.Ackermann.subAll]
subSubAllTerm [in hydras.Ackermann.subAll]
subSubAllTerms [in hydras.Ackermann.subAll]
subSubFormula [in hydras.Ackermann.folLogic2]
subSubTerm [in hydras.Ackermann.folLogic2]
subSubTerms [in hydras.Ackermann.folLogic2]
subTermApply [in hydras.Ackermann.folProp]
subTermExch [in hydras.Ackermann.subProp]
subTermId [in hydras.Ackermann.folProp]
subTermNil [in hydras.Ackermann.subProp]
subTermsExch [in hydras.Ackermann.subProp]
subTermsId [in hydras.Ackermann.folProp]
subTermsNil [in hydras.Ackermann.subProp]
subTermsTrans [in hydras.Ackermann.subProp]
subTermTrans [in hydras.Ackermann.subProp]
subTermVar1 [in hydras.Ackermann.folProp]
subTermVar2 [in hydras.Ackermann.folProp]
subterm_lt [in hydras.Gamma0.Gamma0]
subToSubAll [in hydras.Ackermann.subAll]
subWithEquals [in hydras.Ackermann.folLogic3]
subWithEqualsTerm [in hydras.Ackermann.folLogic3]
subWithEqualsTerms [in hydras.Ackermann.folLogic3]
succb_correct [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Succb_Succ [in hydras.Epsilon0.E0]
succb_not_lim [in hydras.Gamma0.Gamma0]
Successor_succ [in hydras.OrdinalNotations.ON_Omega2]
Successor_not [in hydras.OrdinalNotations.ON_Omega2]
Successor_inv [in hydras.OrdinalNotations.ON_Omega2]
Successor_unicity [in hydras.solutions_exercises.predSuccUnicity]
Successor_succ [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv4 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv3 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv2 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor_inv1 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
succRepresentable [in Goedel.PRrepresentable]
succ_rw1 [in hydras.Epsilon0.T1]
succ_cons' [in hydras.Epsilon0.T1]
succ_cons [in hydras.Epsilon0.T1]
succ_lt_limit [in hydras.Epsilon0.T1]
succ_not_limit [in hydras.Epsilon0.T1]
succ_compat [in hydras.Epsilon0.T1]
succ_compatS [in hydras.Epsilon0.T1]
succ_injective [in hydras.Epsilon0.T1]
succ_monomorphism [in hydras.Epsilon0.T1]
succ_strict_monoR [in hydras.Epsilon0.T1]
succ_mono [in hydras.Epsilon0.T1]
succ_strict_mono_LT [in hydras.Epsilon0.T1]
succ_strict_mono [in hydras.Epsilon0.T1]
succ_of_plus_finite [in hydras.Epsilon0.T1]
succ_is_plus_one [in hydras.Epsilon0.T1]
succ_nf [in hydras.Epsilon0.T1]
succ_lt_a_phi0_b [in hydras.Epsilon0.T1]
succ_is_succ [in hydras.Epsilon0.T1]
succ_not_zero [in hydras.Epsilon0.T1]
succ_is_plus_1 [in hydras.OrdinalNotations.ON_Omega2]
succ_ok [in hydras.OrdinalNotations.ON_Omega2]
succ_correct [in hydras.OrdinalNotations.ON_Omega_plus_omega]
succ_ref [in gaia_hydras.T1Bridge]
succ_zero_diff [in hydras.Schutte.Schutte_basics]
succ_injection [in hydras.Schutte.Schutte_basics]
succ_monoR [in hydras.Schutte.Schutte_basics]
succ_mono [in hydras.Schutte.Schutte_basics]
succ_ok [in hydras.Schutte.Schutte_basics]
succ_correct [in hydras.Epsilon0.E0]
Succ_of_cons [in hydras.Epsilon0.E0]
Succ_rw [in hydras.Epsilon0.E0]
Succ_lt_T1limit [in hydras.Epsilon0.E0]
Succ_not_T1limit [in hydras.Epsilon0.E0]
Succ_not_Zero [in hydras.Epsilon0.E0]
Succ_Succb [in hydras.Epsilon0.E0]
Succ_inj [in hydras.Epsilon0.E0]
succ_rounds [in hydras.Hydra.Omega2_Small]
succ_limit_dec [in hydras.Gamma0.Gamma0]
succ_nf [in hydras.Gamma0.Gamma0]
succ_as_plus [in hydras.Gamma0.Gamma0]
succ_of_cons [in hydras.Gamma0.Gamma0]
succ_lt_le [in hydras.Gamma0.Gamma0]
succ_is_plus_1 [in hydras.Schutte.Addition]
sumToN1 [in hydras.Ackermann.cPair]
sumToN2 [in hydras.Ackermann.cPair]
SuperbigStep [in hydras.Hydra.BigBattle]
supM_gt0 [in hydras.Schutte.AP]
sup_members_disj [in hydras.Schutte.Schutte_basics]
sup_members_not_succ [in hydras.Schutte.Schutte_basics]
sup_members_succ [in hydras.Schutte.Schutte_basics]
sup_eq_intro [in hydras.Schutte.Schutte_basics]
sup_mono [in hydras.Schutte.Schutte_basics]
sup_of_leq [in hydras.Schutte.Schutte_basics]
sup_least_upper_bound [in hydras.Schutte.Schutte_basics]
sup_upper_bound [in hydras.Schutte.Schutte_basics]
sup_ok1 [in hydras.Schutte.Schutte_basics]
sup_spec_unicity [in hydras.Schutte.Schutte_basics]
sup_unicity [in hydras.Schutte.Schutte_basics]
sup_exists [in hydras.Schutte.Schutte_basics]
sup_M_in_B [in hydras.Schutte.Ordering_Functions]
switch5IsPR [in hydras.Ackermann.codeSubFormula]
sysExtend [in hydras.Ackermann.LNN]
sysExtend [in hydras.Ackermann.LNT]
sysExtend [in hydras.Ackermann.folLogic]
SysPrf_rephrase [in hydras.Ackermann.Deduction]
sysWeaken [in hydras.Ackermann.LNN]
sysWeaken [in hydras.Ackermann.LNT]
sysWeaken [in hydras.Ackermann.folLogic]
S_pred_rw [in hydras.Prelude.Iterates]
s_decr [in hydras.solutions_exercises.T1_ltNotWf]
S0_mem_head [in hydras.Hydra.O2H]
S0_decr [in hydras.Hydra.Hydra_Termination]
S0_decr_0 [in hydras.Hydra.Hydra_Termination]
S0_remove_r_i [in hydras.Hydra.Hydra_Lemmas]
S0_remove_r [in hydras.Hydra.Hydra_Lemmas]
S0_app [in hydras.Hydra.Hydra_Lemmas]
S1_decr [in hydras.Hydra.Hydra_Termination]
S1_decr_0 [in hydras.Hydra.Hydra_Termination]
S1_app [in hydras.Hydra.Hydra_Lemmas]
S2_app [in hydras.Hydra.Hydra_Lemmas]
S2_iff [in hydras.Hydra.Hydra_Lemmas]

T

tail_LT_cons [in hydras.Epsilon0.T1]
tail_lt_cons [in hydras.Epsilon0.T1]
tail_lt [in hydras.Epsilon0.T1]
Termination_strong [in hydras.Hydra.Hydra_Lemmas]
terms_eqdec [in hydras.Ackermann.fol]
term_eqdec [in hydras.Ackermann.fol]
Theorem_4_5 [in hydras.Epsilon0.Large_Sets]
Theorem_4_5 [in gaia_hydras.GLarge_Sets]
the_least_ok [in hydras.Schutte.Schutte_basics]
the_least_unicity [in hydras.Schutte.Well_Orders]
TH_packed [in hydras.Epsilon0.F_alpha]
th_In [in hydras.Schutte.Ordering_Functions]
TH_13_6R [in hydras.Schutte.Ordering_Functions]
TH_13_6 [in hydras.Schutte.Ordering_Functions]
Th_13_5_2 [in hydras.Schutte.Ordering_Functions]
Th_13_5_1 [in hydras.Schutte.Ordering_Functions]
th_14_6 [in hydras.Gamma0.Gamma0]
th_14_5 [in hydras.Gamma0.Gamma0]
Th13_8_1 [in hydras.Schutte.Critical]
Th13_8 [in hydras.Schutte.Critical]
tower2_alt_ok [in hydras.solutions_exercises.MorePRExamples]
Toy.ded1 [in hydras.MoreAck.FolExamples]
Toy.ded2 [in hydras.MoreAck.FolExamples]
Toy.ded3 [in hydras.MoreAck.FolExamples]
Toy.drinkers_thm [in hydras.MoreAck.FolExamples]
Toy.D0 [in hydras.MoreAck.FolExamples]
Toy.D01 [in hydras.MoreAck.FolExamples]
Toy.eq_refl [in hydras.MoreAck.FolExamples]
Toy.MP' [in hydras.MoreAck.FolExamples]
Toy.peirce [in hydras.MoreAck.FolExamples]
Toy.PrfEx2 [in hydras.MoreAck.FolExamples]
Tprf2T'prf [in Goedel.rosserPA]
trace_to_std [in hydras.Hydra.O2H]
trace_to_std_0 [in hydras.Hydra.O2H]
trace_to_round_plus [in hydras.Hydra.O2H]
transfinite_induction [in hydras.Schutte.Schutte_basics]
transitionP [in gaia_hydras.GPaths]
translateLT1 [in hydras.Ackermann.LNN2LNT]
translatePrf [in hydras.Ackermann.LNN2LNT]
translateProof [in hydras.Ackermann.LNN2LNT]
trans_aux [in hydras.Gamma0.Gamma0]
trans_clos_is_trans [in hydras.rpo.closure]
TreeT1K [in gaia_hydras.T1Choice]
trichotomy [in hydras.Schutte.Schutte_basics]
tricho_aux [in hydras.Gamma0.Gamma0]
tricho_lt_7 [in hydras.Gamma0.Gamma0]
tricho_lt_5 [in hydras.Gamma0.Gamma0]
tricho_lt_4' [in hydras.Gamma0.Gamma0]
tricho_lt_4 [in hydras.Gamma0.Gamma0]
tricho_lt_3 [in hydras.Gamma0.Gamma0]
tricho_lt_2' [in hydras.Gamma0.Gamma0]
tricho_lt_2 [in hydras.Gamma0.Gamma0]
t_0_nil [in hydras.Prelude.MoreVectors]
T'prf2Tprf [in Goedel.rosserPA]
t0_empty [in hydras.OrdinalNotations.ON_Finite]
T1addA [in hydras.Epsilon0.T1]
T1add_not_monotonous_l [in hydras.Epsilon0.T1]
T1compare_correct [in gaia_hydras.T1Bridge]
T1eqE [in gaia_hydras.T1Bridge]
T1eq_h2g [in gaia_hydras.T1Bridge]
T1eq_refl [in gaia_hydras.T1Bridge]
T1is_succ_iff [in hydras.Epsilon0.T1]
T1is_succ_def [in hydras.Epsilon0.T1]
T1is_succ_ref [in gaia_hydras.T1Bridge]
T1le_asym [in gaia_hydras.T1Choice]
T1le_iff [in gaia_hydras.T1Bridge]
T1limit_succ_tail [in hydras.Epsilon0.T1]
T1limit_not_zero [in hydras.Epsilon0.T1]
T1limit_succ [in hydras.Epsilon0.T1]
T1limit_cases [in hydras.Epsilon0.T1]
T1limit_ref [in gaia_hydras.T1Bridge]
T1limit_canonS_not_zero [in hydras.Epsilon0.Canon]
T1limit_plus [in hydras.Epsilon0.E0]
T1limit_phi0 [in hydras.Epsilon0.E0]
T1limit_Omega_term [in hydras.Epsilon0.E0]
T1ltE [in gaia_hydras.T1Choice]
T1lt_iff [in gaia_hydras.T1Bridge]
T1maxE [in gaia_hydras.T1Choice]
T1minE [in gaia_hydras.T1Choice]
T1mulE4 [in gaia_hydras.T1Bridge]
T1mulE5 [in gaia_hydras.T1Bridge]
T1mul_not_monotonous [in hydras.Epsilon0.T1]
T1mul_cons_cons_E [in gaia_hydras.T1Bridge]
T1mul_a0E [in gaia_hydras.T1Bridge]
T1nf_canon [in gaia_hydras.GCanon]
T1_wf [in hydras.Epsilon0.T1]
T1_to_T2_monoR [in hydras.Gamma0.Gamma0]
T1_to_T2_mono [in hydras.Gamma0.Gamma0]
T1_to_T2_lt [in hydras.Gamma0.Gamma0]
T1_to_T2_inj [in hydras.Gamma0.Gamma0]
T12Tree_inj [in gaia_hydras.T1Choice]
T2_size_psi [in hydras.Gamma0.Gamma0]
T2_size4 [in hydras.Gamma0.Gamma0]
T2_size3 [in hydras.Gamma0.Gamma0]
T2_size2 [in hydras.Gamma0.Gamma0]
T2_size1 [in hydras.Gamma0.Gamma0]

U

unbounded [in hydras.Schutte.Schutte_basics]
Unbounded_Cr [in hydras.Schutte.Critical]
Unbounded_not_countable [in hydras.Schutte.Schutte_basics]
Unbounded_ge [in hydras.Schutte.Addition]
unique_decomposition [in hydras.Epsilon0.T1]
unique_decomposition [in hydras.OrdinalNotations.ON_Omega2]
unshift_pred [in hydras.Prelude.MoreLists]
unshift_shift [in hydras.Prelude.MoreLists]
unshift_interval_pred [in hydras.Prelude.MoreLists]
unshift_interval [in hydras.Prelude.MoreLists]
unshift_iota_from [in hydras.Prelude.MoreLists]
unshift_not_nil [in hydras.Prelude.MoreLists]
unshift_app [in hydras.Prelude.MoreLists]
unshift_but_last [in hydras.Prelude.MoreLists]

V

Variant_termination [in hydras.Prelude.WfVariant]
Variant_lt_standard [in hydras.Hydra.Hydra_Theorems]
Variant_LT_standard [in hydras.Hydra.Hydra_Theorems]
Variant_lt_free [in hydras.Hydra.Hydra_Theorems]
Variant_LT_free_0 [in hydras.Hydra.Hydra_Theorems]
variant_mono_free [in hydras.Hydra.Hydra_Lemmas]
Vars.eq_variable_dec [in hydras.Gamma0.Gamma0]
Vid_eq [in hydras.Prelude.MoreVectors]

W

wCon2Con [in hydras.Ackermann.wConsistent]
wellFormedFormulaCorrect1 [in hydras.Ackermann.wellFormed]
wellFormedFormulaCorrect2 [in hydras.Ackermann.wellFormed]
wellFormedTermCorrect1 [in hydras.Ackermann.wellFormed]
wellFormedTermCorrect2 [in hydras.Ackermann.wellFormed]
wellFormedTermsCorrect1 [in hydras.Ackermann.wellFormed]
wellFormedTermsCorrect2 [in hydras.Ackermann.wellFormed]
wellFormedTermTermsCorrect2 [in hydras.Ackermann.wellFormed]
well_founded_length [in hydras.rpo.more_list]
well_founded_rpo [in hydras.Gamma0.Gamma0]
Wfsum.f_correct [in gaia_hydras.nfwfgaia]
Wfsum.f_eqn [in gaia_hydras.nfwfgaia]
Wfsum.f_spec_simp [in gaia_hydras.nfwfgaia]
Wfsum.lt_dec [in gaia_hydras.nfwfgaia]
Wfsum.psum_exten [in gaia_hydras.nfwfgaia]
wf_inverse_image_transparent [in additions.Wf_transparent]
wf_incl_transparent [in additions.Wf_transparent]
wf_measure [in hydras.OrdinalNotations.ON_Generic]
wf_ltn [in gaia_hydras.onType]
wf_trans [in hydras.rpo.closure]
Wf_ex3.f_correct [in gaia_hydras.nfwfgaia]
Wf_ex3.f_eqn [in gaia_hydras.nfwfgaia]
Wf_ex3.odd_dec [in gaia_hydras.nfwfgaia]
Wf_ex3.f0c [in gaia_hydras.nfwfgaia]
Wf_ex3.f0b [in gaia_hydras.nfwfgaia]
Wf_ex3.f0a [in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp2 [in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp1 [in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec_simp [in gaia_hydras.nfwfgaia]
Wf_ex3.lte_wf [in gaia_hydras.nfwfgaia]
Wf_ex.f_correct [in gaia_hydras.nfwfgaia]
Wf_ex.f_eqn [in gaia_hydras.nfwfgaia]
Wf_ex.f0 [in gaia_hydras.nfwfgaia]
Wf_ex.f_spec_simp [in gaia_hydras.nfwfgaia]
wf_lexico [in hydras.Prelude.Simple_LexProd]
wf_lex [in hydras.rpo.rpo]

X

xPairDef [in hydras.Ackermann.cPair]

Z

zeroRepresentable [in Goedel.PRrepresentable]
zero_le [in hydras.Epsilon0.T1]
zero_nf [in hydras.Epsilon0.T1]
zero_lt [in hydras.Epsilon0.T1]
zero_lt [in hydras.Schutte.Correctness_E0]
zero_le [in hydras.OrdinalNotations.ON_Omega2]
zero_lt_beta [in hydras.Schutte.AP]
zero_ref [in gaia_hydras.T1Bridge]
zero_lt_omega [in hydras.Schutte.Schutte_basics]
zero_lt_succ [in hydras.Schutte.Schutte_basics]
zero_or_positive [in hydras.Schutte.Schutte_basics]
zero_or_greater [in hydras.Schutte.Schutte_basics]
zero_le [in hydras.Schutte.Schutte_basics]
zero_not_lim [in hydras.Gamma0.Gamma0]
zero_lt_succ [in hydras.Gamma0.Gamma0]
zero_plus_alpha [in hydras.Schutte.Addition]
ZLS_dec [in hydras.OrdinalNotations.ON_Omega_plus_omega]
ZtoRD [in additions.fib]
ZtoRM [in additions.fib]
Z_pow_compat [in additions.Compatibility]
Z_pow_compat_pos [in additions.Compatibility]
Z.power_of_plus [in additions.Naive]
Z.power_S [in additions.Naive]

---

Constructor Index

A

Ackermann.CompareT3Eq [in gaia_hydras.nfwfgaia]
Ackermann.CompareT3Gt [in gaia_hydras.nfwfgaia]
Ackermann.CompareT3Lt [in gaia_hydras.nfwfgaia]
Ackermann.cons [in gaia_hydras.nfwfgaia]
Ackermann.T3GeqNotGtn [in gaia_hydras.nfwfgaia]
Ackermann.T3GeqNotLtn [in gaia_hydras.nfwfgaia]
Ackermann.T3GtnNotLeq [in gaia_hydras.nfwfgaia]
Ackermann.T3LtnNotGeq [in gaia_hydras.nfwfgaia]
Ackermann.zero [in gaia_hydras.nfwfgaia]
Add [in additions.Trace_exercise]
Alt.Eps0_prec.Mul [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.Lex [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.Free [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.C [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.AC [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.ord_cons [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.ord_zero [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.nat_S [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.nat_0 [in hydras.Epsilon0.Epsilon0rpo]
Alt.hnode [in hydras.Hydra.Hydra_Definitions]
apply [in hydras.Ackermann.fol]
ap_intro [in hydras.Epsilon0.T1]
ap_intro [in hydras.Gamma0.T2]
assoc [in hydras.Prelude.STDPP_compat]
atomic [in hydras.Ackermann.fol]
AXM [in hydras.Ackermann.folProof]
A_node [in additions.Addition_Chains]

B

Bad3.Fchain_proper_bad_prf [in additions.Euclidean_Chains]
Build_OF [in hydras.Schutte.Ordering_Functions]

C

CantorOrdinal.CompareT1Eq [in gaia_hydras.nfwfgaia]
CantorOrdinal.CompareT1Gt [in gaia_hydras.nfwfgaia]
CantorOrdinal.CompareT1Lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.cons [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GeqNotGtn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GeqNotLtn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1GtnNotLeq [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1LtnNotGeq [in gaia_hydras.nfwfgaia]
CantorOrdinal.zero [in gaia_hydras.nfwfgaia]
compare [in hydras.Prelude.Comparable]
composeFunc [in hydras.Ackermann.primRec]
cons [in hydras.Epsilon0.T1]
cons_succ [in hydras.Gamma0.T2]
CP [in hydras.Ackermann.folProof]

D

decide [in hydras.Prelude.STDPP_compat]
decide_rel [in hydras.Prelude.STDPP_compat]

E

equal [in hydras.Ackermann.fol]
equiv [in additions.Monoid_def]
EQ1 [in hydras.Ackermann.folProof]
EQ2 [in hydras.Ackermann.folProof]
EQ3 [in hydras.Ackermann.folProof]
EQ4 [in hydras.Ackermann.folProof]
EQ5 [in hydras.Ackermann.folProof]

F

FA1 [in hydras.Ackermann.folProof]
FA2 [in hydras.Ackermann.folProof]
FA3 [in hydras.Ackermann.folProof]
Fchain_proper_prf [in additions.Euclidean_Chains]
finite_succ [in hydras.Gamma0.T2]
Fkont_proper_prf [in additions.Euclidean_Chains]
FO [in hydras.Prelude.Fuel]
forallH [in hydras.Ackermann.fol]
Forall2R_last [in hydras.Prelude.MoreLists]
Forall2R_nil [in hydras.Prelude.MoreLists]
FS [in hydras.Prelude.Fuel]
fun_bij_i [in hydras.Schutte.PartialFun]
fun_inj_i [in hydras.Schutte.PartialFun]

G

Gamma0_prec.Mul [in hydras.Gamma0.Gamma0]
Gamma0_prec.Lex [in hydras.Gamma0.Gamma0]
Gamma0_sig.Free [in hydras.Gamma0.Gamma0]
Gamma0_sig.C [in hydras.Gamma0.Gamma0]
Gamma0_sig.AC [in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_cons [in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_psi [in hydras.Gamma0.Gamma0]
Gamma0_sig.ord_zero [in hydras.Gamma0.Gamma0]
Gamma0_sig.nat_S [in hydras.Gamma0.Gamma0]
Gamma0_sig.nat_0 [in hydras.Gamma0.Gamma0]
Gamma0.CompareT2Eq [in gaia_hydras.nfwfgaia]
Gamma0.CompareT2Gt [in gaia_hydras.nfwfgaia]
Gamma0.CompareT2Lt [in gaia_hydras.nfwfgaia]
Gamma0.cons [in gaia_hydras.nfwfgaia]
Gamma0.T2GeqNotGtn [in gaia_hydras.nfwfgaia]
Gamma0.T2GeqNotLtn [in gaia_hydras.nfwfgaia]
Gamma0.T2GtnNotLeq [in gaia_hydras.nfwfgaia]
Gamma0.T2LtnNotGeq [in gaia_hydras.nfwfgaia]
Gamma0.zero [in gaia_hydras.nfwfgaia]
gcons [in hydras.Gamma0.T2]
gcons_lt_e0 [in hydras.Gamma0.T2]
gcons_nf [in hydras.Gamma0.T2]
GEN [in hydras.Ackermann.folProof]
gen_K [in additions.Euclidean_Chains]
gen_F [in additions.Euclidean_Chains]
G0.mkg0 [in hydras.Gamma0.Gamma0]

H

hcons [in hydras.Hydra.Hydra_Definitions]
hh_2 [in hydras.Hydra.O2H]
hh_1 [in hydras.Hydra.O2H]
hnil [in hydras.Hydra.Hydra_Definitions]

I

impH [in hydras.Ackermann.fol]
IMP1 [in hydras.Ackermann.folProof]
IMP2 [in hydras.Ackermann.folProof]
InHWit [in hydras.Schutte.MoreEpsilonIota]
Init [in additions.Trace_exercise]
is_limit_cons [in hydras.Gamma0.T2]
is_limit_0 [in hydras.Gamma0.T2]
is_pr_rel [in hydras.Ackermann.primRec]
is_pr [in hydras.Ackermann.primRec]

K

Kchain_proper_prf [in additions.Euclidean_Chains]

L

language [in hydras.Ackermann.fol]
lex_2 [in hydras.Prelude.Simple_LexProd]
lex_1 [in hydras.Prelude.Simple_LexProd]
lex1 [in hydras.Prelude.DecPreOrder_Instances]
lex1 [in hydras.solutions_exercises.MultisetWf]
lex2 [in hydras.Prelude.DecPreOrder_Instances]
lex2 [in hydras.solutions_exercises.MultisetWf]
lex3 [in hydras.solutions_exercises.MultisetWf]
lex4 [in hydras.solutions_exercises.MultisetWf]
limit_step [in hydras.Hydra.Omega2_Small]
limit_plus_F_cons [in hydras.Gamma0.Gamma0]
limit_plus_F_0 [in hydras.Gamma0.Gamma0]
LO.ap_intro [in hydras.OrdinalNotations.OmegaOmega]
LT_right [in hydras.Epsilon0.T1]
LT_middle [in hydras.Epsilon0.T1]
LT_left [in hydras.Epsilon0.T1]
lt_a_phi0_b_c [in hydras.Epsilon0.T1]
lt_a_phi0_b_z [in hydras.Epsilon0.T1]
lt_right [in hydras.Epsilon0.T1]
lt_middle [in hydras.Epsilon0.T1]
lt_left [in hydras.Epsilon0.T1]
lt_7 [in hydras.Gamma0.T2]
lt_6 [in hydras.Gamma0.T2]
lt_5 [in hydras.Gamma0.T2]
lt_4 [in hydras.Gamma0.T2]
lt_3 [in hydras.Gamma0.T2]
lt_2 [in hydras.Gamma0.T2]
lt_1 [in hydras.Gamma0.T2]
LT_ [in hydras.Ackermann.Languages]
L_spec1 [in hydras.Epsilon0.Large_Sets]
L_spec0 [in hydras.Epsilon0.Large_Sets]

M

Make.Eq [in hydras.rpo.rpo]
Make.List_mul_rest_step [in hydras.rpo.rpo]
Make.List_mul_rest [in hydras.rpo.rpo]
Make.List_eq_rest [in hydras.rpo.rpo]
Make.List_gt_rest [in hydras.rpo.rpo]
Make.List_mul [in hydras.rpo.rpo]
Make.List_eq [in hydras.rpo.rpo]
Make.List_gt [in hydras.rpo.rpo]
Make.Lt [in hydras.rpo.rpo]
Make.mk_set [in hydras.rpo.list_set]
Make.mk_sn [in hydras.rpo.rpo]
Make.rmv_case [in hydras.rpo.dickson]
Make.Subterm [in hydras.rpo.rpo]
Make.Term [in hydras.rpo.term]
Make.Top_eq_mul [in hydras.rpo.rpo]
Make.Top_eq_lex [in hydras.rpo.rpo]
Make.Top_gt [in hydras.rpo.rpo]
Make.Var [in hydras.rpo.term]
marked0 [in hydras.Prelude.Sort_spec]
marked1 [in hydras.Prelude.Sort_spec]
mkE0 [in gaia_hydras.T1Bridge]
mkord [in hydras.Epsilon0.E0]
mkP [in hydras.Epsilon0.F_alpha]
mkP [in hydras.Epsilon0.Hprime]
mkQ [in hydras.Epsilon0.F_alpha]
mks [in hydras.Hydra.BigBattle]
model [in hydras.Ackermann.model]
MP [in hydras.Ackermann.folProof]
MUL [in additions.AM]
Mult [in additions.Addition_Chains]
mult_op [in additions.Monoid_def]
Mul_node [in additions.Addition_Chains]
M2.mat [in additions.FirstSteps]
M2.mat [in additions.Naive]

N

node [in hydras.Hydra.Hydra_Definitions]
notH [in hydras.Ackermann.fol]

O

Ok [in hydras.Epsilon0.Large_Sets_Examples]
ONDef.Mixin [in gaia_hydras.onType]
ONDef.Pack [in gaia_hydras.onType]
One_node [in additions.Addition_Chains]
OO.mkord [in hydras.OrdinalNotations.OmegaOmega]

P

path_toS_cons [in hydras.Epsilon0.Paths]
path_toS_1 [in hydras.Epsilon0.Paths]
path_to_cons [in hydras.Epsilon0.Paths]
path_to_1 [in hydras.Epsilon0.Paths]
Plus_ [in hydras.Ackermann.Languages]
PP_omega [in hydras.Epsilon0.T1]
PP_exp [in hydras.Epsilon0.T1]
PP_mult [in hydras.Epsilon0.T1]
PP_add [in hydras.Epsilon0.T1]
PP_fin [in hydras.Epsilon0.T1]
PRcons [in hydras.Ackermann.primRec]
Precedence.Lex [in hydras.rpo.rpo]
Precedence.Mul [in hydras.rpo.rpo]
primRecFunc [in hydras.Ackermann.primRec]
PRnil [in hydras.Ackermann.primRec]
projFunc [in hydras.Ackermann.primRec]
PUSH [in additions.AM]

R

rel_surj_i [in hydras.Schutte.GRelations]
rel_inj_i [in hydras.Schutte.GRelations]
rel_bij_i [in hydras.Schutte.PartialFun]
rel_inj_i [in hydras.Schutte.PartialFun]
Remaining [in hydras.Epsilon0.Large_Sets_Examples]
result_equiv_success [in additions.AM]
result_equiv_fail [in additions.AM]
Return [in additions.Addition_Chains]
rounds_n [in hydras.Hydra.Hydra_Definitions]
rounds_1 [in hydras.Hydra.Hydra_Definitions]
RPO.Eq [in hydras.rpo.rpo]
RPO.List_mul [in hydras.rpo.rpo]
RPO.List_eq [in hydras.rpo.rpo]
RPO.List_gt [in hydras.rpo.rpo]
RPO.Lt [in hydras.rpo.rpo]
RPO.Subterm [in hydras.rpo.rpo]
RPO.Top_eq_mul [in hydras.rpo.rpo]
RPO.Top_eq_lex [in hydras.rpo.rpo]
RPO.Top_gt [in hydras.rpo.rpo]
R1_intro [in hydras.Hydra.Hydra_Definitions]
R2_intro_2 [in hydras.Hydra.Hydra_Definitions]
R2_intro [in hydras.Hydra.Hydra_Definitions]

S

Signature.AC [in hydras.rpo.term]
Signature.C [in hydras.rpo.term]
Signature.Free [in hydras.rpo.term]
single_nf [in hydras.Gamma0.T2]
sorted_ge_cons [in hydras.Prelude.MoreLists]
sorted_ge_one [in hydras.Prelude.MoreLists]
sorted_ge_nil [in hydras.Prelude.MoreLists]
SQR [in additions.AM]
stack_equivn [in additions.AM]
stack_equiv0 [in additions.AM]
stdS_S [in hydras.Epsilon0.Paths]
stdS_1 [in hydras.Epsilon0.Paths]
std_S [in hydras.Epsilon0.Paths]
std_1 [in hydras.Epsilon0.Paths]
steps_S [in hydras.Hydra.BigBattle]
steps1 [in hydras.Hydra.BigBattle]
step1 [in hydras.Hydra.BigBattle]
step2 [in hydras.Hydra.BigBattle]
step3 [in hydras.Hydra.BigBattle]
subterm_trans [in hydras.Gamma0.Gamma0]
subterm_c [in hydras.Gamma0.Gamma0]
subterm_b [in hydras.Gamma0.Gamma0]
subterm_a [in hydras.Gamma0.Gamma0]
succFunc [in hydras.Ackermann.primRec]
succ_finite [in hydras.Gamma0.T2]
succ_step [in hydras.Hydra.Omega2_Small]
Succ_ [in hydras.Ackermann.Languages]
SWAP [in additions.AM]
S.mk_set [in hydras.rpo.list_set]
S0_rest [in hydras.Hydra.Hydra_Definitions]
S0_first [in hydras.Hydra.Hydra_Definitions]
S1_next [in hydras.Hydra.Hydra_Definitions]
S1_first [in hydras.Hydra.Hydra_Definitions]
S2_next [in hydras.Hydra.Hydra_Definitions]
S2_first [in hydras.Hydra.Hydra_Definitions]

T

Tcons [in hydras.Ackermann.fol]
Term.Term [in hydras.rpo.term]
Term.Var [in hydras.rpo.term]
Times_ [in hydras.Ackermann.Languages]
Tnil [in hydras.Ackermann.fol]
Too_far [in hydras.Epsilon0.Large_Sets_Examples]
totalness [in hydras.Prelude.DecPreOrder]
Toy.a_ [in hydras.MoreAck.FolExamples]
Toy.A_ [in hydras.MoreAck.FolExamples]
Toy.b_ [in hydras.MoreAck.FolExamples]
Toy.B_ [in hydras.MoreAck.FolExamples]
Toy.C_ [in hydras.MoreAck.FolExamples]
Toy.f_ [in hydras.MoreAck.FolExamples]
Toy.g_ [in hydras.MoreAck.FolExamples]
Toy.h_ [in hydras.MoreAck.FolExamples]
Toy.P_ [in hydras.MoreAck.FolExamples]
Toy.Q_ [in hydras.MoreAck.FolExamples]
Toy.R_ [in hydras.MoreAck.FolExamples]
trace_toS [in hydras.Hydra.Hydra_Definitions]
trace_to1 [in hydras.Hydra.Hydra_Definitions]
t_trans [in hydras.rpo.closure]
t_step [in hydras.rpo.closure]

V

var [in hydras.Ackermann.fol]

Z

zero [in hydras.Epsilon0.T1]
zero [in hydras.Gamma0.T2]
zeroFunc [in hydras.Ackermann.primRec]
zero_lt_e0 [in hydras.Gamma0.T2]
zero_nf [in hydras.Gamma0.T2]
zero_finite [in hydras.Gamma0.T2]
Zero_ [in hydras.Ackermann.Languages]

---

Axiom Index

A

AX1 [in hydras.Schutte.Schutte_basics]
AX2 [in hydras.Schutte.Schutte_basics]
AX3 [in hydras.Schutte.Schutte_basics]

F

f [in hydras.Prelude.LibHyps_Experiments]

G

g [in hydras.Prelude.LibHyps_Experiments]

H

h [in hydras.Prelude.LibHyps_Experiments]

I

inh_Ord [in hydras.Schutte.Schutte_basics]

L

lt [in hydras.Schutte.Schutte_basics]

O

Ord [in hydras.Schutte.Schutte_basics]

P

P [in hydras.Prelude.LibHyps_Experiments]
Precedence.A [in hydras.rpo.rpo]
Precedence.prec [in hydras.rpo.rpo]
Precedence.prec_transitive [in hydras.rpo.rpo]
Precedence.prec_antisym [in hydras.rpo.rpo]
Precedence.prec_dec [in hydras.rpo.rpo]
Precedence.status [in hydras.rpo.rpo]

R

RPO.rpo_add_context [in hydras.rpo.rpo]
RPO.rpo_subst [in hydras.rpo.rpo]
RPO.rpo_trans [in hydras.rpo.rpo]
RPO.rpo_closure [in hydras.rpo.rpo]
RPO.wf_rpo [in hydras.rpo.rpo]

S

Signature.arity [in hydras.rpo.term]
Signature.eq_symbol_dec [in hydras.rpo.term]
Signature.symb [in hydras.rpo.term]
S.A [in hydras.rpo.decidable_set]
S.cardinal_subset [in hydras.rpo.list_set]
S.eq_A_dec [in hydras.rpo.decidable_set]

T

Term.empty_subst_is_id_list [in hydras.rpo.term]
Term.empty_subst_is_id [in hydras.rpo.term]
Term.eq_term_dec [in hydras.rpo.term]
Term.is_a_pos_exists_subtem [in hydras.rpo.term]
Term.replace_at_pos_list_replace_at_pos_in_subterm [in hydras.rpo.term]
Term.replace_at_pos_is_replace_at_pos2 [in hydras.rpo.term]
Term.replace_at_pos_is_replace_at_pos1 [in hydras.rpo.term]
Term.replace_at_pos_unfold [in hydras.rpo.term]
Term.size_subterm_at_pos [in hydras.rpo.term]
Term.size_direct_subterm [in hydras.rpo.term]
Term.size_ge_one [in hydras.rpo.term]
Term.size_unfold [in hydras.rpo.term]
Term.subst_comp_is_subst_comp [in hydras.rpo.term]
Term.subst_comp_is_subst_comp_aux1 [in hydras.rpo.term]
Term.subterm_at_pos_apply_subst_apply_subst_subterm_at_pos [in hydras.rpo.term]
Term.term_rec8 [in hydras.rpo.term]
Term.term_rec7 [in hydras.rpo.term]
Term.term_rec4 [in hydras.rpo.term]
Term.term_rec3 [in hydras.rpo.term]
Term.term_rec2 [in hydras.rpo.term]
Term.well_formed_apply_subst [in hydras.rpo.term]
Term.well_formed_fold [in hydras.rpo.term]
Term.well_formed_unfold [in hydras.rpo.term]

V

Variables.eq_variable_dec [in hydras.rpo.term]
Variables.var [in hydras.rpo.term]

---

Inductive Index

A

Ackermann.compare_T3 [in gaia_hydras.nfwfgaia]
Ackermann.T3 [in gaia_hydras.nfwfgaia]
Ackermann.T3leq_xor_gtn [in gaia_hydras.nfwfgaia]
Ackermann.T3ltn_xor_geq [in gaia_hydras.nfwfgaia]
Alt.Eps0_prec.status_type [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.arity_type [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.symb0 [in hydras.Epsilon0.Epsilon0rpo]
Alt.Hydra [in hydras.Hydra.Hydra_Definitions]
Alt.Vars.empty_set [in hydras.Epsilon0.Epsilon0rpo]
answer [in hydras.Epsilon0.Large_Sets_Examples]
ap [in hydras.Epsilon0.T1]
ap [in hydras.Gamma0.T2]
Assoc [in hydras.Prelude.STDPP_compat]

B

Bad3.Fchain_proper [in additions.Euclidean_Chains]

C

CantorOrdinal.compare_T1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1leq_xor_gtn [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ltn_xor_geq [in gaia_hydras.nfwfgaia]
Compare [in hydras.Prelude.Comparable]
computation [in additions.Addition_Chains]

D

Decision [in hydras.Prelude.STDPP_compat]

E

Equiv [in additions.Monoid_def]

F

Fchain_proper [in additions.Euclidean_Chains]
Fkont_proper [in additions.Euclidean_Chains]
Forall2R [in hydras.Prelude.MoreLists]
Formula [in hydras.Ackermann.fol]
fuel [in hydras.Prelude.Fuel]
fun_bijection [in hydras.Schutte.PartialFun]
fun_injection [in hydras.Schutte.PartialFun]

G

Gamma0_prec.status_type [in hydras.Gamma0.Gamma0]
Gamma0_sig.arity_type [in hydras.Gamma0.Gamma0]
Gamma0_sig.symb0 [in hydras.Gamma0.Gamma0]
Gamma0.compare_T2 [in gaia_hydras.nfwfgaia]
Gamma0.T2 [in gaia_hydras.nfwfgaia]
Gamma0.T2leq_xor_gtn [in gaia_hydras.nfwfgaia]
Gamma0.T2ltn_xor_geq [in gaia_hydras.nfwfgaia]

H

Hydra [in hydras.Hydra.Hydra_Definitions]
Hydrae [in hydras.Hydra.Hydra_Definitions]

I

info [in additions.Trace_exercise]
InH [in hydras.Schutte.MoreEpsilonIota]
instr [in additions.AM]
isPR [in hydras.Ackermann.primRec]
isPRrel [in hydras.Ackermann.primRec]
is_limit [in hydras.Gamma0.T2]
is_successor [in hydras.Gamma0.T2]
is_finite [in hydras.Gamma0.T2]

K

Kchain_proper [in additions.Euclidean_Chains]

L

lexico [in hydras.Prelude.Simple_LexProd]
lexpower [in hydras.solutions_exercises.MultisetWf]
lex_prod [in hydras.Prelude.DecPreOrder_Instances]
limit_plus_fin [in hydras.Gamma0.Gamma0]
LNNRelation [in hydras.Ackermann.Languages]
LNTFunction [in hydras.Ackermann.Languages]
LNTRelation [in hydras.Ackermann.Languages]
LO.ap [in hydras.OrdinalNotations.OmegaOmega]
lt [in hydras.Gamma0.T2]
LT_cases [in hydras.Epsilon0.T1]
lt_a_phi0_b [in hydras.Epsilon0.T1]
lt_cases [in hydras.Epsilon0.T1]
lt_epsilon0 [in hydras.Gamma0.T2]
L_spec [in hydras.Epsilon0.Large_Sets]

M

Make.multiset_extension_step [in hydras.rpo.dickson]
Make.rpo [in hydras.rpo.rpo]
Make.rpo_mul_rest_step [in hydras.rpo.rpo]
Make.rpo_mul_rest [in hydras.rpo.rpo]
Make.rpo_lex_rest [in hydras.rpo.rpo]
Make.rpo_mul [in hydras.rpo.rpo]
Make.rpo_lex [in hydras.rpo.rpo]
Make.rpo_eq [in hydras.rpo.rpo]
Make.term [in hydras.rpo.term]
marked [in hydras.Prelude.Sort_spec]
mem_head [in hydras.Hydra.O2H]
Monoid_Exp [in additions.Addition_Chains]
Mult_op [in additions.Monoid_def]

N

nf [in hydras.Gamma0.T2]

O

one_step [in hydras.Hydra.BigBattle]

P

path_toS [in hydras.Epsilon0.Paths]
path_to [in hydras.Epsilon0.Paths]
ppT1 [in hydras.Epsilon0.T1]
Precedence.status_type [in hydras.rpo.rpo]
Prf [in hydras.Ackermann.folProof]
PrimRec [in hydras.Ackermann.primRec]
PrimRecs [in hydras.Ackermann.primRec]

R

RelDecision [in hydras.Prelude.STDPP_compat]
rel_surjection [in hydras.Schutte.GRelations]
rel_injection [in hydras.Schutte.GRelations]
rel_bijection [in hydras.Schutte.PartialFun]
rel_injection [in hydras.Schutte.PartialFun]
result_equiv [in additions.AM]
rounds [in hydras.Hydra.Hydra_Definitions]
RPO.rpo [in hydras.rpo.rpo]
RPO.rpo_mul [in hydras.rpo.rpo]
RPO.rpo_lex [in hydras.rpo.rpo]
RPO.rpo_eq [in hydras.rpo.rpo]
R1 [in hydras.Hydra.Hydra_Definitions]
R2 [in hydras.Hydra.Hydra_Definitions]

S

signature [in additions.Euclidean_Chains]
Signature.arity_type [in hydras.rpo.term]
sorted_ge [in hydras.Prelude.MoreLists]
stack_equiv [in additions.AM]
standard_path_to [in hydras.Epsilon0.Paths]
standard_path_toS [in hydras.Epsilon0.Paths]
step [in hydras.Hydra.Omega2_Small]
steps [in hydras.Hydra.BigBattle]
subterm [in hydras.Gamma0.Gamma0]
S0 [in hydras.Hydra.Hydra_Definitions]
S1 [in hydras.Hydra.Hydra_Definitions]
S2 [in hydras.Hydra.Hydra_Definitions]

T

Term [in hydras.Ackermann.fol]
Terms [in hydras.Ackermann.fol]
Term.term [in hydras.rpo.term]
Total [in hydras.Prelude.DecPreOrder]
Toy.Fun [in hydras.MoreAck.FolExamples]
Toy.Rel [in hydras.MoreAck.FolExamples]
trace_to [in hydras.Hydra.Hydra_Definitions]
trans_clos [in hydras.rpo.closure]
T1 [in hydras.Epsilon0.T1]
T2 [in hydras.Gamma0.T2]

V

Vars.empty_set [in hydras.Gamma0.Gamma0]

---

Projection Index

A

arityF [in hydras.Ackermann.fol]
arityR [in hydras.Ackermann.fol]
assoc [in hydras.Prelude.STDPP_compat]

B

Bad3.Fchain_proper_bad_prf [in additions.Euclidean_Chains]
battle_ok [in hydras.Hydra.Hydra_Definitions]
battle_rel [in hydras.Hydra.Hydra_Definitions]

C

cnf [in gaia_hydras.T1Bridge]
cnf [in hydras.Epsilon0.E0]
cnf_ok [in hydras.Epsilon0.E0]
codeFInj [in hydras.Ackermann.code]
codeRInj [in hydras.Ackermann.code]
comparable_comp_spec [in hydras.Prelude.Comparable]
comparable_sto [in hydras.Prelude.Comparable]
compare [in hydras.Prelude.Comparable]
c00 [in additions.Monoid_instances]
c01 [in additions.Monoid_instances]
c10 [in additions.Monoid_instances]
c11 [in additions.Monoid_instances]

D

decide [in hydras.Prelude.STDPP_compat]
decide_rel [in hydras.Prelude.STDPP_compat]
decr [in hydras.Prelude.WfVariant]

E

Eone_right [in additions.Monoid_def]
Eone_left [in additions.Monoid_def]
Eop_comm [in additions.Monoid_def]
Eop_assoc [in additions.Monoid_def]
Eop_proper [in additions.Monoid_def]
equiv [in additions.Monoid_def]
Eq_equiv [in additions.Monoid_def]

F

Fchain_proper_prf [in additions.Euclidean_Chains]
Fkont_proper_prf [in additions.Euclidean_Chains]
func [in hydras.Ackermann.model]
Functions [in hydras.Ackermann.fol]

G

gamma_gt [in additions.Strategies]
gamma_lt [in additions.Strategies]
G0.vnf [in hydras.Gamma0.Gamma0]
G0.vnf_ok [in hydras.Gamma0.Gamma0]

I

InHWit [in hydras.Schutte.MoreEpsilonIota]
iso_inv2 [in hydras.OrdinalNotations.ON_Generic]
iso_inv1 [in hydras.OrdinalNotations.ON_Generic]
iso_compare [in hydras.OrdinalNotations.ON_Generic]
is_pr_rel [in hydras.Ackermann.primRec]
is_pr [in hydras.Ackermann.primRec]

K

Kchain_proper_prf [in additions.Euclidean_Chains]

L

Lt_irreflexive [in hydras.Schutte.Well_Orders]
Lt_trans [in hydras.Schutte.Well_Orders]

M

Make.is_a_set [in hydras.rpo.list_set]
Make.sn [in hydras.rpo.rpo]
Make.support [in hydras.rpo.list_set]
Make.tt [in hydras.rpo.rpo]
mult_op [in additions.Monoid_def]
m_bounded [in hydras.Hydra.Hydra_Definitions]
M2.c00 [in additions.FirstSteps]
M2.c00 [in additions.Naive]
M2.c01 [in additions.FirstSteps]
M2.c01 [in additions.Naive]
M2.c10 [in additions.FirstSteps]
M2.c10 [in additions.Naive]
M2.c11 [in additions.FirstSteps]
M2.c11 [in additions.Naive]

N

nh [in hydras.Hydra.BigBattle]
n1 [in hydras.Hydra.BigBattle]
n2 [in hydras.Hydra.BigBattle]

O

OF_mono [in hydras.Schutte.Ordering_Functions]
OF_onto [in hydras.Schutte.Ordering_Functions]
OF_total [in hydras.Schutte.Ordering_Functions]
OF_segment [in hydras.Schutte.Ordering_Functions]
ONDef.type [in gaia_hydras.onType]
one_right [in additions.Monoid_def]
one_left [in additions.Monoid_def]
On_compare_spec [in hydras.OrdinalNotations.ON_Generic]
ON_correct_onto [in hydras.OrdinalNotations.ON_Generic]
ON_correct_inj [in hydras.OrdinalNotations.ON_Generic]
ON_wf [in hydras.OrdinalNotations.ON_Generic]
ON_comp [in hydras.OrdinalNotations.ON_Generic]
OO.data [in hydras.OrdinalNotations.OmegaOmega]
OO.data_ok [in hydras.OrdinalNotations.OmegaOmega]
op_comm [in additions.Monoid_def]
op_assoc [in additions.Monoid_def]

P

PA [in hydras.Epsilon0.F_alpha]
PA [in hydras.Epsilon0.Hprime]
PB [in hydras.Epsilon0.F_alpha]
PB [in hydras.Epsilon0.Hprime]
PC [in hydras.Epsilon0.F_alpha]
PC [in hydras.Epsilon0.Hprime]
PD [in hydras.Epsilon0.F_alpha]
PD [in hydras.Epsilon0.Hprime]
PE [in hydras.Epsilon0.F_alpha]
PE [in hydras.Epsilon0.Hprime]

Q

QA [in hydras.Epsilon0.F_alpha]
QD [in hydras.Epsilon0.F_alpha]
QE [in hydras.Epsilon0.F_alpha]

R

rel [in hydras.Ackermann.model]
Relations [in hydras.Ackermann.fol]
round [in hydras.Hydra.BigBattle]

S

Semibundled.dec_dec [in hydras.Prelude.DecPreOrder]
Semibundled.total_dec_total [in hydras.Prelude.DecPreOrder]
Semibundled.total_dec_pre_order [in hydras.Prelude.DecPreOrder]
Semibundled.total_dec [in hydras.Prelude.DecPreOrder]
SubON_onto [in hydras.OrdinalNotations.ON_Generic]
SubON_incl [in hydras.OrdinalNotations.ON_Generic]
SubON_compare [in hydras.OrdinalNotations.ON_Generic]
S.is_a_set [in hydras.rpo.list_set]
S.support [in hydras.rpo.list_set]

T

totalness [in hydras.Prelude.DecPreOrder]
total_pre_order_total [in hydras.Prelude.DecPreOrder]
total_pre_order_pre [in hydras.Prelude.DecPreOrder]

U

U [in hydras.Ackermann.model]

V

variant_decr [in hydras.Hydra.Hydra_Definitions]

W

well_order [in hydras.Schutte.Well_Orders]
wf [in hydras.Prelude.WfVariant]

---

Section Index

A

Abstract_Properties [in hydras.Epsilon0.Hprime]
AB_given.rel_to_fun [in hydras.Schutte.PartialFun]
AB_given.f_given [in hydras.Schutte.PartialFun]
AB_given [in hydras.Schutte.PartialFun]
Ack_Properties.Induc_step [in hydras.MoreAck.Ack]
Ack_Properties [in hydras.MoreAck.Ack]
Adaptation [in additions.Compatibility]
Alt.well_founded [in hydras.Epsilon0.Epsilon0rpo]
AP_closed [in hydras.Schutte.AP]
AP_Unbounded.ksi_fixed [in hydras.Schutte.AP]
AP_Unbounded [in hydras.Schutte.AP]
Arith_lemmas [in hydras.Prelude.More_Arith]
A_def [in hydras.OrdinalNotations.ON_Omega2]
A_given [in hydras.solutions_exercises.MultisetWf]

B

BadExample [in hydras.MoreAck.BadSubst]
Bad.CounterExample [in additions.FirstSteps]
bare_syntax [in hydras.MoreAck.LNN_Examples]
battle_length_notPR [in hydras.Hydra.Hydra_Theorems]
Battle_length [in hydras.Hydra.Battle_length]
binary_power_proof [in additions.Addition_Chains]
Bounded [in hydras.Hydra.Epsilon0_Needed_Generic]
building_ordering_function_by_induction [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1.beta_fixed [in hydras.Schutte.Ordering_Functions]
building_ordering_function_1 [in hydras.Schutte.Ordering_Functions]

C

Canon_examples [in hydras.Epsilon0.Canon]
CantorOrdinal.AddLocalNotation [in gaia_hydras.nfwfgaia]
Check_Proof [in hydras.Ackermann.checkPrf]
close [in hydras.Ackermann.codePA]
Code_Free_Vars [in hydras.Ackermann.codeFreeVar]
Code_Substitute_Term [in hydras.Ackermann.codeSubTerm]
Code_Substitute_Formula [in hydras.Ackermann.codeSubFormula]
Code_Term_Formula_Proof.codeTermFormDef [in hydras.Ackermann.code]
Code_Term_Formula_Proof.LcodeDef [in hydras.Ackermann.code]
Code_Term_Formula_Proof [in hydras.Ackermann.code]
code_nat_list [in hydras.Ackermann.cPair]
code_SysPrf.LNN [in Goedel.codeSysPrf]
code_SysPrf [in Goedel.codeSysPrf]
Code_PA [in hydras.Ackermann.codePA]
Comparable [in hydras.Prelude.Comparable]
compose2Examples [in hydras.MoreAck.PrimRecExamples]
Composition [in hydras.MoreAck.PrimRecExamples]
CompositionProofs [in additions.AM]
CompositionProofs.App [in additions.AM]
CompositionProofs.FFK [in additions.AM]
CompositionProofs.FK [in additions.AM]
CompositionProofs.KFK [in additions.AM]
Constant_to_standard_Proof [in hydras.Epsilon0.Paths]
Correctness [in hydras.Ackermann.fol]
Countable [in hydras.Schutte.Countable]
Countable.Countable_bijection [in hydras.Schutte.Countable]
Countable.Countable_seq_range [in hydras.Schutte.Countable]
Countable.Definitions [in hydras.Schutte.Countable]
Counter_Example [in hydras.solutions_exercises.MultisetWf]
CPair_Order [in hydras.Ackermann.cPair]
CPair_projections [in hydras.Ackermann.cPair]
CPair_Injectivity [in hydras.Ackermann.cPair]
Cter_example [in hydras.solutions_exercises.schutte_cnf_counter_example]

D

Deduction_Theorem [in hydras.Ackermann.Deduction]
Definitions [in additions.FirstSteps]
Definitions [in hydras.OrdinalNotations.ON_Generic]
Definitions [in hydras.Prelude.Simple_LexProd]
Defs [in hydras.Prelude.MoreOrders]
Defs [in hydras.OrdinalNotations.ON_mult]
Defs [in hydras.OrdinalNotations.ON_plus]
depth_rec_demo [in hydras.MoreAck.FolExamples]
Direct_proof.well_foundedness_proof.First_attempt [in hydras.Epsilon0.T1]
Direct_proof.well_foundedness_proof [in hydras.Epsilon0.T1]
dom_AckNotPR [in hydras.MoreAck.AckNotPR]
DS_iota.Proof_case_6 [in hydras.Hydra.O2H]
DS_iota.Proof_case_5 [in hydras.Hydra.O2H]
DS_iota.Proof_case_4 [in hydras.Hydra.O2H]
DS_iota [in hydras.Hydra.O2H]

E

Equality_Logic_Rules [in hydras.Ackermann.folLogic3]
Equations_for_addition.case3 [in hydras.Schutte.Correctness_E0]
Equations_for_addition.case2 [in hydras.Schutte.Correctness_E0]
Equations_for_addition.case1 [in hydras.Schutte.Correctness_E0]
Equations_for_addition [in hydras.Schutte.Correctness_E0]
Equivalence [in additions.Compatibility]
essai [in hydras.Epsilon0.T1]
evalList [in hydras.MoreAck.AckNotPR]
Examples [in hydras.Ackermann.LNT]
Examples [in hydras.MoreAck.LNN_Examples]
Exs [in hydras.MoreAck.PrimRecExamples]

F

First_Order_Logic.Formula_Depth_Induction [in hydras.Ackermann.fol]
First_Order_Logic.Formula_Decidability [in hydras.Ackermann.fol]
First_Order_Logic [in hydras.Ackermann.fol]
Fix [in hydras.Prelude.Restriction]
Fol_Properties.Substitution.Substitution_Properties [in hydras.Ackermann.folProp]
Fol_Properties.Substitution.Extensions [in hydras.Ackermann.folProp]
Fol_Properties.Substitution [in hydras.Ackermann.folProp]
Fol_Properties.Free_Variables [in hydras.Ackermann.folProp]
Fol_Properties [in hydras.Ackermann.folProp]
Forall2_right_induction [in hydras.Prelude.MoreLists]
Free_Variables [in hydras.Ackermann.LNN]
Free_Variables [in hydras.Ackermann.LNT]
F_monotony_l.case_lt [in hydras.Epsilon0.F_alpha]
F_monotony_l.case_eq [in hydras.Epsilon0.F_alpha]
F_monotony_l [in hydras.Epsilon0.F_alpha]
F_alpha_notPR.case_lt [in hydras.Epsilon0.F_omega]
F_alpha_notPR [in hydras.Epsilon0.F_omega]
F_omega_notPR [in hydras.Epsilon0.F_omega]

G

Gamma [in additions.AM]
Gamma [in additions.Euclidean_Chains]
Gamma.All_OK [in additions.AM]
General_Relations.elagage.to_nat_elagage [in hydras.Schutte.GRelations]
General_Relations.elagage [in hydras.Schutte.GRelations]
General_Relations.surjection2injection [in hydras.Schutte.GRelations]
General_Relations.injection2surjection [in hydras.Schutte.GRelations]
General_Relations.Definitions [in hydras.Schutte.GRelations]
General_Relations [in hydras.Schutte.GRelations]
Generic [in hydras.Prelude.Merge_Sort]
Generic.Merging [in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness [in hydras.Prelude.Merge_Sort]
Generic.Merging.Correctness.merge_sort [in hydras.Prelude.Merge_Sort]
Generic.Splitting [in hydras.Prelude.Merge_Sort]
Goedel's_1st_Incompleteness [in Goedel.goedel1]
Goedel's_2nd_Incompleteness.Goedel1PA [in Goedel.goedel2]
Goedel's_2nd_Incompleteness [in Goedel.goedel2]

H

Hypos [in hydras.Prelude.First_toggle]
H'_F [in hydras.Epsilon0.F_alpha]
H'_omega_cube_3 [in hydras.Epsilon0.Hprime]
H'_cons [in hydras.Epsilon0.Hprime]

I

Ignore_Params [in hydras.Ackermann.primRec]
ImpossibilityProof [in gaia_hydras.GHydra]
Impossibility_Proof [in hydras.Hydra.Epsilon0_Needed_Free]
Impossibility_Proof [in hydras.MoreAck.AckNotPR]
Impossibility_Proof [in hydras.Hydra.Epsilon0_Needed_Std]
Impossibility_Proof [in hydras.Hydra.Omega2_Small]
Impossibility_Proof [in hydras.Hydra.Omega_Small]
Impossibility1 [in hydras.solutions_exercises.MultisetWf]
Inclusion_ij [in hydras.OrdinalNotations.ON_Finite]
inductive_step [in hydras.Epsilon0.F_omega]
Inverse_Image_transp [in additions.Wf_transparent]
inversion_of_bijection [in hydras.Schutte.PartialFun]

K

KFK_proof [in additions.Euclidean_Chains]
KP [in hydras.Hydra.KP_example]

L

lemmas_on_length [in hydras.Gamma0.Gamma0]
Lemma_4_4_Proof [in hydras.Epsilon0.Large_Sets]
Lemma_4_3_Proof [in hydras.Epsilon0.Paths]
LExamples [in hydras.Ackermann.fol]
lexprod [in hydras.Prelude.DecPreOrder_Instances]
lim [in hydras.Epsilon0.Large_Sets]
List_Remove [in hydras.Ackermann.ListExt]
LNN_FixPoint [in Goedel.fixPoint]
LNT_FixPoint [in Goedel.fixPoint]
Logic [in hydras.Ackermann.LNN]
Logic [in hydras.Ackermann.LNT]
Logic_Rules.Other_Rules [in hydras.Ackermann.folLogic]
Logic_Rules.Not_Rules [in hydras.Ackermann.folLogic]
Logic_Rules [in hydras.Ackermann.folLogic]
lt_incl_rpo [in hydras.Gamma0.Gamma0]
L_correct_proof [in hydras.Epsilon0.L_alpha]

M

Make.DoubleRecursion [in hydras.rpo.term]
Make.Recursion [in hydras.rpo.term]
Model_Theory.Consistent_Theory [in hydras.Ackermann.model]
Model_Theory [in hydras.Ackermann.model]
MoreOrderType [in gaia_hydras.onType]
MoreOrderType.Succ_no_limit [in gaia_hydras.onType]
More_Logic_Rules [in hydras.Ackermann.folLogic2]
M_given.Power_of_op [in additions.Pow_variant]
M_given.About_power [in additions.Pow_variant]
M_given [in additions.Pow_variant]
M_given.Power_of_op [in additions.Pow]
M_given [in additions.Pow]
M2_def [in additions.Monoid_instances]
M2.Definitions [in additions.Naive]
M2.M2_Definitions [in additions.FirstSteps]

N

Nmodulo [in additions.Monoid_instances]
NN [in hydras.Ackermann.NN]
non_optimality_proof [in additions.Addition_Chains]
NotIncl [in hydras.OrdinalNotations.ON_Omega_plus_omega]
N_mod.m_fixed [in additions.Naive]

O

OA_given [in hydras.OrdinalNotations.ON_O]
ONDef.Exports.Lemmas [in gaia_hydras.onType]
ONDef.Packing [in gaia_hydras.onType]
ONEpsilon0Def [in gaia_hydras.onType]
onFiniteDef [in gaia_hydras.onType]
onOmegaDef [in gaia_hydras.onType]
on_length [in hydras.Gamma0.T2]
On_alpha.S2 [in hydras.solutions_exercises.Limit_Infinity]
On_alpha.S1 [in hydras.solutions_exercises.Limit_Infinity]
On_alpha [in hydras.solutions_exercises.Limit_Infinity]
On_Iota [in hydras.Schutte.MoreEpsilonIota]
ordering_function_unicity [in hydras.Schutte.Ordering_Functions]
ordering_function_unicity_1 [in hydras.Schutte.Ordering_Functions]

P

PA [in hydras.Ackermann.PA]
phi_to_psi [in hydras.Gamma0.Gamma0]
phi0_mult [in hydras.Epsilon0.Large_Sets]
Primitive_Recursive_Representable [in Goedel.PRrepresentable]
Primitive_recursion [in hydras.MoreAck.PrimRecExamples]
ProofH [in hydras.Ackermann.folProof]
ProofH.Example [in hydras.Ackermann.folProof]
ProofOfLexwf [in hydras.solutions_exercises.MultisetWf]
Proofs_of_unicity.Proofs.S2 [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs.S1 [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity.Proofs [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_unicity [in hydras.solutions_exercises.predSuccUnicity]
Proofs_of_lt_succ_le.Proofs.S1 [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le.Proofs [in hydras.solutions_exercises.lt_succ_le]
Proofs_of_lt_succ_le [in hydras.solutions_exercises.lt_succ_le]
Proof_of_dist [in hydras.Epsilon0.T1]
Proof_of_mult_nf.Induction [in hydras.Epsilon0.T1]
Proof_of_mult_nf [in hydras.Epsilon0.T1]
Proof_of_MinIsPR [in hydras.solutions_exercises.MinPR2]
Proof_of_oplus_lt1 [in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_assoc [in hydras.Epsilon0.Hessenberg]
Proof_of_oplus_comm [in hydras.Epsilon0.Hessenberg]
Proof_of_plus_nf [in hydras.Epsilon0.Hessenberg]
Proof_of_Ackn_PR.S_step [in hydras.MoreAck.AckNotPR]
Proof_of_Ackn_PR [in hydras.MoreAck.AckNotPR]
Proof_of_4_5_2 [in hydras.Epsilon0.Large_Sets]
Proof_of_Lemma5.Alpha_positive.closedness [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive.Proof_unbounded [in hydras.Schutte.Critical]
Proof_of_Lemma5.Alpha_positive [in hydras.Schutte.Critical]
Proof_of_Lemma5 [in hydras.Schutte.Critical]
Proof_of_nested_Ack_bound [in hydras.MoreAck.Ack]
Proof_of_mult_ref [in gaia_hydras.T1Bridge]
Proof_of_FibIsPR [in hydras.solutions_exercises.FibonacciPR]
Proof_of_MinIsPR [in hydras.solutions_exercises.MinPR]
Proof_of_H'_mono_l.Limit_case [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l.Succ_case [in hydras.Epsilon0.Hprime]
Proof_of_H'_mono_l [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_limit [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction.alpha_Succ [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties.The_induction [in hydras.Epsilon0.Hprime]
Proof_of_Abstract_Properties [in hydras.Epsilon0.Hprime]
proof_of_associativity [in hydras.Schutte.Addition]
Proof_of_lt_not_wf.seq_intro [in hydras.solutions_exercises.T1_ltNotWf]
Proof_of_lt_not_wf [in hydras.solutions_exercises.T1_ltNotWf]
Properties [in hydras.Epsilon0.F_alpha]
Properties_of_f_alpha.The_induction [in hydras.Epsilon0.F_alpha]
Properties_of_f_alpha [in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_limit [in hydras.Epsilon0.F_alpha]
Properties.The_induction.alpha_Succ [in hydras.Epsilon0.F_alpha]
Properties.The_induction [in hydras.Epsilon0.F_alpha]

R

Refinement_proof [in additions.Addition_Chains]
Replacement [in hydras.Ackermann.folReplace]
RepresentableExpressible [in hydras.Ackermann.expressible]
restricted_recursion [in hydras.Prelude.Restriction]
restricted_recursion [in gaia_hydras.nfwfgaia]
Rosser's_Incompleteness [in Goedel.rosserPA]
Rosser's_Incompleteness [in Goedel.rosser]
R_given [in hydras.Prelude.Sort_spec]

S

Semantics [in additions.AM]
Sequences [in gaia_hydras.nfwfgaia]
sqrtIsPR [in hydras.solutions_exercises.isqrt]
sqrtIsPR.Proof_isqrt [in hydras.solutions_exercises.isqrt]
step [in hydras.Epsilon0.F_omega]
Strong_Recursion [in hydras.Ackermann.cPair]
SubAllVars [in hydras.Ackermann.subAll]
SubAllVars.subAllCloseFrom [in hydras.Ackermann.subAll]
SubON_properties [in hydras.OrdinalNotations.ON_Generic]
Substitution_Properties [in hydras.Ackermann.subProp]
succ [in hydras.Epsilon0.Large_Sets]
S1 [in hydras.solutions_exercises.is_F_monotonous]
S1 [in hydras.solutions_exercises.F_3]
S1 [in additions.Addition_Chains]
S1.Limit [in hydras.solutions_exercises.F_3]
S1.Limit.S3 [in hydras.solutions_exercises.F_3]
S1.Successor [in hydras.solutions_exercises.F_3]
S1.Successor.S2 [in hydras.solutions_exercises.F_3]
S2 [in additions.Addition_Chains]
S256 [in additions.Monoid_instances]

T

Term.DoubleRecursion [in hydras.rpo.term]
Term.Recursion [in hydras.rpo.term]
the_context.About_WO [in hydras.Schutte.Well_Orders]
the_context [in hydras.Schutte.Well_Orders]
Th13_5.verso.U_fixed [in hydras.Schutte.Ordering_Functions]
Th13_5.verso [in hydras.Schutte.Ordering_Functions]
Th13_5.recto.M_fixed [in hydras.Schutte.Ordering_Functions]
Th13_5.recto [in hydras.Schutte.Ordering_Functions]
Th13_5 [in hydras.Schutte.Ordering_Functions]
Toy.Drinkers_theorem [in hydras.MoreAck.FolExamples]
Toy.OnSubstF [in hydras.MoreAck.FolExamples]
Toy.PeirceProof [in hydras.MoreAck.FolExamples]
Toy.PrimedSymbols [in hydras.MoreAck.FolExamples]
Toy.ProofOfEx3 [in hydras.MoreAck.FolExamples]
Translate_Proof [in hydras.Ackermann.LNN2LNT]
trans_proof [in hydras.Gamma0.Gamma0]

V

Variants [in hydras.Prelude.WfVariant]

W

Well_Formed_Term.Well_Formed_Formula [in hydras.Ackermann.wellFormed]
Well_Formed_Term [in hydras.Ackermann.wellFormed]
well_founded [in hydras.Gamma0.Gamma0]
with_matrices [in additions.fib]

---

Instance Index

A

Ackn_IsPR [in hydras.MoreAck.AckNotPR]
Alt.addIsPR [in hydras.MoreAck.PrimRecExamples]
Alt.addIsPR' [in hydras.MoreAck.PrimRecExamples]
Alt.const0_NIsPR [in hydras.MoreAck.PrimRecExamples]
Alt.pi2_5IsPR [in hydras.MoreAck.PrimRecExamples]
Alt.predIsPR [in hydras.MoreAck.PrimRecExamples]
Alt.succIsPR [in hydras.MoreAck.PrimRecExamples]
Alt.zeroIsPR [in hydras.MoreAck.PrimRecExamples]

B

Bad3.Fcompose_proper [in additions.Euclidean_Chains]
Binary_strat [in additions.BinaryStrat]
boddIsPR [in hydras.Ackermann.primRec]
bool_and_binop [in additions.Monoid_def]
boundComputationIsPR [in hydras.Ackermann.codeSubFormula]
boundSearchIsPR [in hydras.Ackermann.primRec]
bVar [in gaia_hydras.GHydra]

C

callIsPR [in hydras.Ackermann.cPair]
checkPrfAXMIsPR [in hydras.Ackermann.checkPrf]
checkPrfCPIsPR [in hydras.Ackermann.checkPrf]
checkPrfEQ1IsPR [in hydras.Ackermann.checkPrf]
checkPrfEQ2IsPR [in hydras.Ackermann.checkPrf]
checkPrfEQ3IsPR [in hydras.Ackermann.checkPrf]
checkPrfEQ4IsPR [in hydras.Ackermann.checkPrf]
checkPrfEQ5IsPR [in hydras.Ackermann.checkPrf]
checkPrfFA1IsPR [in hydras.Ackermann.checkPrf]
checkPrfFA2IsPR [in hydras.Ackermann.checkPrf]
checkPrfFA3IsPR [in hydras.Ackermann.checkPrf]
checkPrfGENIsPR [in hydras.Ackermann.checkPrf]
checkPrfHelpIsPR [in hydras.Ackermann.checkPrf]
checkPrfIMP1IsPR [in hydras.Ackermann.checkPrf]
checkPrfIMP2IsPR [in hydras.Ackermann.checkPrf]
checkPrfIsPR [in hydras.Ackermann.checkPrf]
checkPrfMPIsPR [in hydras.Ackermann.checkPrf]
checkTraceIsPR [in hydras.Ackermann.codeSubFormula]
codeAndIsPR [in hydras.Ackermann.checkPrf]
codeAppIsPR [in hydras.Ackermann.codeList]
codeArityLNNRIsPR [in hydras.Ackermann.Languages]
codeArityLNTFIsPR [in hydras.Ackermann.Languages]
codeArityLNTRIsPR [in hydras.Ackermann.Languages]
codeAxmEqHelpIsPR [in hydras.Ackermann.checkPrf]
codeCloseIsPR [in hydras.Ackermann.codePA]
codeCloseListIsPR [in hydras.Ackermann.codePA]
codeFreeVarFormulaIsPR [in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormulaIsPR [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermsIsPR [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermTermsIsPR [in hydras.Ackermann.codeFreeVar]
codeIffIsPR [in hydras.Ackermann.checkPrf]
codeImpIsPR [in hydras.Ackermann.prLogic]
codeInductionSchemaIsPR [in hydras.Ackermann.codePA]
codeInIsPR [in hydras.Ackermann.codeList]
codeLengthIsPR [in hydras.Ackermann.codeList]
codeListRemoveIsPR [in hydras.Ackermann.codeList]
codeNatToTermIsPR [in hydras.Ackermann.codeNatToTerm]
codeNewVarIsPR [in hydras.Ackermann.codeSubFormula]
codeNoDupIsPR [in hydras.Ackermann.codeList]
codeNotIsPR [in hydras.Ackermann.prLogic]
codeNthIsPR [in hydras.Ackermann.cPair]
codeNVars1IsPR [in hydras.Ackermann.checkPrf]
codeNVars2IsPR [in hydras.Ackermann.checkPrf]
codeOpenIsPR [in hydras.Ackermann.codePA]
codeOrIsPR [in hydras.Ackermann.checkPrf]
codePAIsPR [in hydras.Ackermann.codePA]
codeSubFormulaIsPR [in hydras.Ackermann.codeSubFormula]
codeSubTermIsPR [in hydras.Ackermann.codeSubTerm]
codeSubTermTermsIsPR [in hydras.Ackermann.codeSubTerm]
comp [in hydras.OrdinalNotations.ON_Finite]
compare_T1 [in hydras.Epsilon0.T1]
compare_omega2 [in hydras.OrdinalNotations.ON_Omega2]
compare_O [in hydras.OrdinalNotations.ON_O]
compare_nat_nat [in hydras.OrdinalNotations.ON_Omega_plus_omega]
compare_mult [in hydras.OrdinalNotations.ON_mult]
compare_plus [in hydras.OrdinalNotations.ON_plus]
compare_fin [in hydras.OrdinalNotations.ON_Finite]
compare_E0 [in hydras.Epsilon0.E0]
compare_nat [in hydras.OrdinalNotations.ON_Omega]
compare_T2 [in hydras.Gamma0.Gamma0]
comparison_eq_dec [in hydras.Prelude.DecPreOrder]
compose1_NIsPR [in hydras.Ackermann.primRec]
compose1_3IsPR [in hydras.Ackermann.primRec]
compose1_2IsPR [in hydras.Ackermann.primRec]
compose1_1IsPR [in hydras.Ackermann.primRec]
compose2IsPR [in hydras.Ackermann.primRec]
compose2_4IsPR [in hydras.Ackermann.primRec]
compose2_3IsPR [in hydras.Ackermann.primRec]
compose2_2IsPR [in hydras.Ackermann.primRec]
compose2_1IsPR [in hydras.Ackermann.primRec]
compose3_3IsPR [in hydras.Ackermann.primRec]
compose3_2IsPR [in hydras.Ackermann.primRec]
compose3_1IsPR [in hydras.Ackermann.primRec]
compose4_3IsPR [in hydras.Ackermann.primRec]
compose4_2IsPR [in hydras.Ackermann.primRec]
comp_equiv_equivalence [in additions.Euclidean_Chains]
Comp_equiv [in additions.Euclidean_Chains]
Cons [in hydras.Epsilon0.E0]
const0_NIsPR [in hydras.Ackermann.primRec]
const1_NIsPR [in hydras.Ackermann.primRec]
cPairIsPR [in hydras.Ackermann.cPair]
cPairPi1IsPR [in hydras.Ackermann.cPair]
cPairPi2IsPR [in hydras.Ackermann.cPair]
cTripleIsPR [in hydras.Ackermann.cPair]
cTriplePi1IsPR [in hydras.Ackermann.cPair]
cTriplePi2IsPR [in hydras.Ackermann.cPair]
cTriplePi3IsPR [in hydras.Ackermann.cPair]

D

Demo.nat_mult_op [in additions.Monoid_def]
Dicho_strat [in additions.Dichotomy]
div2IsPR [in hydras.Ackermann.cPair]
doubleIsPR [in hydras.MoreAck.PrimRecExamples]

E

Eop_proper [in additions.Pow_variant]
Eop_proper [in additions.Pow]
Epsilon0 [in gaia_hydras.T1Bridge]
Epsilon0 [in hydras.Epsilon0.E0]
epsilon0_dec [in hydras.Epsilon0.T1]
epsilon0_pre_order [in hydras.Epsilon0.T1]
Epsilon0_correct [in hydras.Schutte.Correctness_E0]
eqIsPR [in hydras.Ackermann.primRec]
equiv_equiv [in hydras.Prelude.Sort_spec]
equiv_equiv [in hydras.Prelude.DecPreOrder]
Equiv_Trans [in additions.Monoid_def]
Equiv_Sym [in additions.Monoid_def]
Equiv_Refl [in additions.Monoid_def]
Equiv_Equiv [in additions.Monoid_def]
eq_equiv [in additions.Monoid_def]
evalStrongRecIsPR [in hydras.Ackermann.cPair]
exec_Proper [in additions.AM]
expIsPR [in hydras.solutions_exercises.MorePRExamples]
exp_alt_PR [in hydras.solutions_exercises.MorePRExamples]
E0add [in hydras.Epsilon0.E0]
E0compare [in gaia_hydras.T1Bridge]
E0fin [in hydras.Epsilon0.E0]
E0finS [in hydras.Epsilon0.E0]
E0mul [in hydras.Epsilon0.E0]
E0one [in hydras.Epsilon0.E0]
E0zero [in hydras.Epsilon0.E0]
E0_comp [in gaia_hydras.T1Bridge]
E0_sto [in gaia_hydras.T1Bridge]
E0_comp [in hydras.Epsilon0.E0]
E0_sto [in hydras.Epsilon0.E0]
E0_phi0 [in hydras.Epsilon0.E0]
E0_succ [in hydras.Epsilon0.E0]
E0_omega [in hydras.Epsilon0.E0]

F

factIsPR [in hydras.solutions_exercises.MorePRExamples]
fact_altIsPR [in hydras.solutions_exercises.MorePRExamples]
Fcompose_proper [in additions.Euclidean_Chains]
Fexp2_proper [in additions.Euclidean_Chains]
Fexp2_nat_proper [in additions.Euclidean_Chains]
FFK_proper [in additions.Euclidean_Chains]
fibIsPR [in hydras.solutions_exercises.FibonacciPR]
fibPRIsPR [in hydras.solutions_exercises.FibonacciPR]
fib_altIsPR [in hydras.solutions_exercises.FibonacciPR]
filter001IsPR [in hydras.Ackermann.primRec]
filter0011IsPR [in hydras.Ackermann.primRec]
filter01IsPR [in hydras.Ackermann.primRec]
filter010IsPR [in hydras.Ackermann.primRec]
filter011IsPR [in hydras.Ackermann.primRec]
filter10IsPR [in hydras.Ackermann.primRec]
filter100IsPR [in hydras.Ackermann.primRec]
filter1000IsPR [in hydras.Ackermann.primRec]
filter101IsPR [in hydras.Ackermann.primRec]
filter1011IsPR [in hydras.Ackermann.primRec]
filter110IsPR [in hydras.Ackermann.primRec]
filter1100IsPR [in hydras.Ackermann.primRec]
FinOrd [in hydras.OrdinalNotations.ON_Finite]
finord_ON [in gaia_hydras.ON_gfinite]
finord_comp [in gaia_hydras.ON_gfinite]
finord_sto [in gaia_hydras.ON_gfinite]
finord_compare [in gaia_hydras.ON_gfinite]
FinOrd_Omega [in hydras.OrdinalNotations.ON_Omega]
FK_proper [in additions.Euclidean_Chains]
free [in hydras.Hydra.Hydra_Definitions]
F_n_PR [in hydras.Epsilon0.F_omega]
F_0_isPR [in hydras.Epsilon0.F_omega]
F_incl_ij [in hydras.OrdinalNotations.ON_Finite]
F1_proper [in additions.Euclidean_Chains]
F2_proper [in additions.Euclidean_Chains]
F3_proper [in additions.Euclidean_Chains]

G

gtIsPR [in hydras.Ackermann.primRec]
G0.compare_G0 [in hydras.Gamma0.Gamma0]
G0.Finite [in hydras.Gamma0.Gamma0]
G0.Gamma0 [in hydras.Gamma0.Gamma0]
G0.Gamma0_comp [in hydras.Gamma0.Gamma0]
G0.lt_sto [in hydras.Gamma0.Gamma0]
G0.Omega [in hydras.Gamma0.Gamma0]
G0.Phi [in hydras.Gamma0.Gamma0]
G0.Plus [in hydras.Gamma0.Gamma0]
G0.zero [in hydras.Gamma0.Gamma0]

H

height_var [in hydras.Hydra.Omega_Small]
hVar [in gaia_hydras.GHydra]
HVariant [in hydras.Hydra.Hydra_Termination]
HVariant_0 [in hydras.Hydra.Hydra_Termination]

I

idIsPR [in hydras.Ackermann.primRec]
If2IsPR [in hydras.solutions_exercises.MinPR2]
ignoreParamsIsPR [in hydras.Ackermann.primRec]
Incl [in hydras.OrdinalNotations.ON_Omega_plus_omega]
indIsPR [in hydras.Ackermann.primRec]
ind1ParamIsPR [in hydras.Ackermann.primRec]
ind2ParamIsPR [in hydras.Ackermann.primRec]
inhNat [in hydras.Schutte.MoreEpsilonIota]
Inh_Ord_Ord [in hydras.Schutte.Schutte_basics]
Inh_OSets [in hydras.Schutte.Schutte_basics]
InH_Ord [in hydras.Schutte.Schutte_basics]
Int63mult [in additions.Monoid_instances]
int63_mult_op [in additions.Monoid_instances]
Inverse_fun [in hydras.Prelude.DecPreOrder_Instances]
isPRextEqual [in hydras.Ackermann.primRec]
isPRTrans [in hydras.Ackermann.primRec]
iSPR_Ack_Sn [in hydras.MoreAck.AckNotPR]
issqrtIsPR [in hydras.solutions_exercises.isqrt]
iterateIsPR [in hydras.Ackermann.primRec]

K

KFF_proper [in additions.Euclidean_Chains]
K2F_proper [in additions.Euclidean_Chains]
k7_3_proper [in additions.Euclidean_Chains]

L

LcodeLNN [in hydras.Ackermann.codeNatToTerm]
LcodeLNT [in hydras.Ackermann.codeNatToTerm]
leIsPR [in hydras.Ackermann.primRec]
leq_trans [in hydras.Prelude.MoreOrders]
lex_prod_dec [in hydras.Prelude.DecPreOrder_Instances]
Lex_nat_wf [in hydras.MoreAck.Ack]
Le_trans [in hydras.Schutte.Well_Orders]
List_length [in hydras.Prelude.DecPreOrder_Instances]
LO.compare_oo [in hydras.OrdinalNotations.OmegaOmega]
LO.lo_comparable [in hydras.OrdinalNotations.OmegaOmega]
LO.lo_strorder [in hydras.OrdinalNotations.OmegaOmega]
LO.plus_assoc [in hydras.OrdinalNotations.OmegaOmega]
ltIsPR [in hydras.Ackermann.primRec]
LT_St [in hydras.Epsilon0.T1]
lt_dec [in hydras.Epsilon0.T1]
lt_transitive [in hydras.Prelude.DecPreOrder]
lt_strorder [in hydras.OrdinalNotations.ON_mult]
lt_strorder [in hydras.OrdinalNotations.ON_plus]
L_3_plus_omega [in hydras.OrdinalNotations.Example_3PlusOmega]

M

maxIsPR [in hydras.Ackermann.primRec]
max_assoc [in hydras.Prelude.Comparable]
minIsPR [in hydras.solutions_exercises.MinPR2]
minIsPR [in hydras.solutions_exercises.MinPR]
minPR_PR [in hydras.solutions_exercises.MinPR2]
minPR_PR [in hydras.solutions_exercises.MinPR]
minusIndIsPR [in hydras.Ackermann.primRec]
minusIsPR [in hydras.Ackermann.primRec]
min_assoc [in hydras.Prelude.Comparable]
mIsPR [in hydras.Hydra.Hydra_Theorems]
mod_Equiv [in additions.Monoid_instances]
mod_op [in additions.Monoid_instances]
mod_equiv [in additions.Monoid_instances]
Monoid_EMonoid [in additions.Monoid_def]
multIndIsPR [in hydras.Ackermann.primRec]
multIsPR [in hydras.Ackermann.primRec]
mult_comp [in hydras.OrdinalNotations.ON_mult]
mult_mod_proper [in additions.Monoid_instances]
Mult_i [in hydras.Epsilon0.E0]
Mul2 [in additions.Fib2]
M2_Monoid [in additions.Monoid_instances]
M2_op [in additions.Monoid_instances]

N

Natmult [in additions.Monoid_instances]
Natplus [in additions.Monoid_instances]
Nat_le_TO [in hydras.Prelude.DecPreOrder_Instances]
Nat_le_dec [in hydras.Prelude.DecPreOrder_Instances]
nat_plus_op [in additions.Monoid_instances]
nat_mult_op [in additions.Monoid_instances]
neqIsPR [in hydras.Ackermann.primRec]
Nmod_Monoid [in additions.Monoid_instances]
NMult [in additions.Monoid_instances]
notZeroIsPR [in hydras.Ackermann.primRec]
NPlus [in additions.Monoid_instances]
N_plus_op [in additions.Monoid_instances]
N_mult_op [in additions.Monoid_instances]

O

Olt [in hydras.Epsilon0.F_alpha]
Olt [in hydras.Epsilon0.L_alpha]
Olt [in hydras.Epsilon0.Hprime]
Omega [in hydras.OrdinalNotations.ON_Omega]
Omega_plus_Omega [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Omega_2 [in hydras.Epsilon0.E0]
Omega_term [in hydras.Epsilon0.E0]
omega_ok [in hydras.OrdinalNotations.ON_Omega]
Omega_comp [in hydras.OrdinalNotations.ON_Omega]
Omega2 [in hydras.OrdinalNotations.ON_Omega2]
ON_O [in hydras.OrdinalNotations.ON_O]
ON_O_comp [in hydras.OrdinalNotations.ON_O]
ON_mult [in hydras.OrdinalNotations.ON_mult]
ON_plus [in hydras.OrdinalNotations.ON_plus]
OO.compare_OO [in hydras.OrdinalNotations.OmegaOmega]
OO.embed [in hydras.OrdinalNotations.OmegaOmega]
OO.Fin [in hydras.OrdinalNotations.OmegaOmega]
OO.mult [in hydras.OrdinalNotations.OmegaOmega]
OO.ON_OO [in hydras.OrdinalNotations.OmegaOmega]
OO.OO_comp [in hydras.OrdinalNotations.OmegaOmega]
OO.oo_str [in hydras.OrdinalNotations.OmegaOmega]
OO.phi0 [in hydras.OrdinalNotations.OmegaOmega]
OO.plus [in hydras.OrdinalNotations.OmegaOmega]
OO.Succ [in hydras.OrdinalNotations.OmegaOmega]
OO.Zero [in hydras.OrdinalNotations.OmegaOmega]
OO._Omega [in hydras.OrdinalNotations.OmegaOmega]
Oplus [in hydras.Epsilon0.E0]
Oplus_assoc [in hydras.Epsilon0.E0]

P

pi1_4IsPR [in hydras.Ackermann.primRec]
pi1_3IsPR [in hydras.Ackermann.primRec]
pi1_2IsPR [in hydras.Ackermann.primRec]
pi2_4IsPR [in hydras.Ackermann.primRec]
pi2_3IsPR [in hydras.Ackermann.primRec]
pi2_2IsPR [in hydras.Ackermann.primRec]
pi3_4IsPR [in hydras.Ackermann.primRec]
pi3_3IsPR [in hydras.Ackermann.primRec]
pi4_4IsPR [in hydras.Ackermann.primRec]
plusIndIsPR [in hydras.Ackermann.primRec]
plusIsPR [in hydras.Ackermann.primRec]
plus_assoc [in hydras.OrdinalNotations.ON_Omega2]
plus_comp [in hydras.OrdinalNotations.ON_plus]
plus_assoc [in hydras.Epsilon0.E0]
plus_assoc [in hydras.Schutte.Addition]
PMult [in additions.Monoid_instances]
Pos_bpow_proper [in additions.Pow]
power_proper [in additions.Pow_variant]
power_proper [in additions.Pow]
pow3IsPR [in hydras.Ackermann.codeSubFormula]
PO_lex_prod [in hydras.Prelude.DecPreOrder_Instances]
predIsPR [in hydras.Ackermann.primRec]
PrO_Included [in hydras.Prelude.DecPreOrder_Instances]
P_mult_op [in additions.Monoid_instances]
P_dec [in hydras.Epsilon0.Paths]

R

RelDecision_Inverse_fun [in hydras.Prelude.DecPreOrder_Instances]
ReplaceFormulaTermIsPR [in hydras.Ackermann.codeSubFormula]
ReplaceTermsTermIsPR [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermIsPR [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTermIsPR [in hydras.Ackermann.codeSubFormula]
result_equiv_equiv [in additions.AM]
Return_proper [in additions.Euclidean_Chains]
R01 [in hydras.Epsilon0.F_omega]
R02 [in hydras.Epsilon0.F_omega]
R03 [in hydras.Epsilon0.F_omega]
R2 [in hydras.MoreAck.AckNotPR]

S

searchXYIsPR [in hydras.Ackermann.cPair]
Stack_equiv_equiv [in additions.AM]
Stack_equiv_refl [in additions.AM]
standard [in hydras.Hydra.Hydra_Definitions]
sto [in hydras.OrdinalNotations.ON_O]
sto [in hydras.OrdinalNotations.ON_Finite]
Strict_lex [in hydras.Prelude.Simple_LexProd]
string_op [in additions.Monoid_def]
subStarIsPR [in Goedel.fixPoint]
succIsPR [in hydras.Ackermann.primRec]
sumToNIsPR [in hydras.Ackermann.cPair]
swapIsPR [in hydras.Ackermann.primRec]
switchIsPR [in hydras.Ackermann.primRec]

T

Total_Inverse_fun [in hydras.Prelude.DecPreOrder_Instances]
Total_Reflexive [in hydras.Prelude.DecPreOrder]
tower2IsPR [in hydras.solutions_exercises.MorePRExamples]
tower2_alt_PR [in hydras.solutions_exercises.MorePRExamples]
To_lex_prod [in hydras.Prelude.DecPreOrder_Instances]
Trans_lex [in hydras.Prelude.Simple_LexProd]
Two [in hydras.Epsilon0.E0]
Two_strat [in additions.BinaryStrat]
T1addAssoc [in hydras.Epsilon0.T1]
T1compare [in gaia_hydras.T1Bridge]
t1_strorder [in hydras.Epsilon0.T1]

V

var [in hydras.Hydra.Hydra_Termination]

W

wellFormedFormulaIsPR [in hydras.Ackermann.wellFormed]
wellFormedTermIsPR [in hydras.Ackermann.wellFormed]
wellFormedTermsIsPR [in hydras.Ackermann.wellFormed]
wellFormedTermTermsIsPR [in hydras.Ackermann.wellFormed]
WF [in hydras.OrdinalNotations.ON_Omega2]
WF [in hydras.Epsilon0.F_alpha]
WO_ord [in hydras.Schutte.Schutte_basics]
WO_nat [in hydras.Schutte.Well_Orders]

Z

ZMult [in additions.Monoid_instances]
ZMult_Abelian [in additions.Monoid_instances]
Z_le_TO [in hydras.Prelude.DecPreOrder_Instances]
Z_le_dec [in hydras.Prelude.DecPreOrder_Instances]
Z_mult_op [in additions.Monoid_instances]

---

Abbreviation Index

A

Ackermann.Tf [in gaia_hydras.nfwfgaia]

B

battle [in hydras.Hydra.Hydra_Definitions]

C

canonS [in gaia_hydras.GCanon]
canonSSn [in hydras.Epsilon0.Canon]
CantorOrdinal.LT [in gaia_hydras.nfwfgaia]
CantorOrdinal.Tf [in gaia_hydras.nfwfgaia]

E

epsilon0 [in hydras.Gamma0.T2]
EqDecision [in hydras.Prelude.STDPP_compat]
exH' [in hydras.Ackermann.LNT]
E0succb [in hydras.Epsilon0.E0]

F

F [in hydras.Schutte.Schutte_basics]
fin [in hydras.Epsilon0.T1]
Fin [in hydras.Epsilon0.E0]
FolNotations.exH' [in hydras.Ackermann.fol]
Formula [in hydras.Ackermann.subAll]
Formula [in hydras.Ackermann.folProp]
Formula [in hydras.Ackermann.codeSubFormula]
Formula [in hydras.Ackermann.folLogic3]
Formulas [in hydras.Ackermann.subAll]
Formulas [in hydras.Ackermann.folProp]
Formulas [in hydras.Ackermann.codeSubFormula]
Formulas [in hydras.Ackermann.folLogic3]
freeVarFormula [in hydras.Ackermann.folProp]
freeVarTerm [in hydras.Ackermann.folProp]
freeVarTerms [in hydras.Ackermann.folProp]
FS [in hydras.Epsilon0.T1]
FS [in hydras.Gamma0.T2]
F_alpha_ge_S [in hydras.Epsilon0.F_alpha]

G

G0.omega [in hydras.Gamma0.Gamma0]
G0.phi [in hydras.Gamma0.Gamma0]
G0.phi0 [in hydras.Gamma0.Gamma0]

H

hbounded_transitionS [in gaia_hydras.GPaths]
hcanon [in gaia_hydras.GCanon]
hCanon_plus [in gaia_hydras.GPaths]
hcnf [in gaia_hydras.T1Bridge]
hcons [in gaia_hydras.T2Bridge]
hconst_path [in gaia_hydras.GPaths]
hconst_pathS [in gaia_hydras.GPaths]
head [in hydras.Hydra.Hydra_Definitions]
hE0 [in gaia_hydras.T1Bridge]
hE0fin [in gaia_hydras.T1Bridge]
hE0is_succ [in gaia_hydras.T1Bridge]
hE0le [in gaia_hydras.T1Bridge]
hE0limit [in gaia_hydras.T1Bridge]
hE0lt [in gaia_hydras.T1Bridge]
hE0omega [in gaia_hydras.T1Bridge]
hE0phi0 [in gaia_hydras.T1Bridge]
hE0zero [in gaia_hydras.T1Bridge]
hF_ [in gaia_hydras.GF_alpha]
hgnaw [in gaia_hydras.GPaths]
hgnawS [in gaia_hydras.GPaths]
hlarge [in gaia_hydras.GLarge_Sets]
hlargeS [in gaia_hydras.GLarge_Sets]
hL_spec [in gaia_hydras.GLarge_Sets]
hmlarge [in gaia_hydras.GLarge_Sets]
hmlargeS [in gaia_hydras.GLarge_Sets]
hoplus [in gaia_hydras.GHessenberg]
hpath [in gaia_hydras.GPaths]
hpathS [in gaia_hydras.GPaths]
hpath_to [in gaia_hydras.GPaths]
hstandard_gnaw [in gaia_hydras.GPaths]
htransition [in gaia_hydras.GPaths]
hT1 [in gaia_hydras.T1Bridge]
hT2 [in gaia_hydras.T2Bridge]
hyd [in hydras.Hydra.BigBattle]
hyd1 [in hydras.Hydra.Hydra_Definitions]
hyd2 [in hydras.Hydra.Hydra_Definitions]
hyd3 [in hydras.Hydra.Hydra_Definitions]
hyd4 [in hydras.Hydra.KP_example]
hzero [in gaia_hydras.T2Bridge]
h1 [in hydras.Hydra.BigBattle]
h2 [in hydras.Hydra.BigBattle]
h3 [in hydras.Hydra.BigBattle]

I

In_list_remove2 [in hydras.Ackermann.ListExt]

L

le [in hydras.Epsilon0.T1]
le [in hydras.Prelude.Comparable]
LE [in gaia_hydras.T1Bridge]
limitb [in hydras.Epsilon0.T1]
Limitb [in hydras.Epsilon0.E0]
LispAbbreviations.caar [in hydras.Ackermann.cPair]
LispAbbreviations.caddr [in hydras.Ackermann.cPair]
LispAbbreviations.cadr [in hydras.Ackermann.cPair]
LispAbbreviations.car [in hydras.Ackermann.cPair]
LispAbbreviations.cddddr [in hydras.Ackermann.cPair]
LispAbbreviations.cdddr [in hydras.Ackermann.cPair]
LispAbbreviations.cddr [in hydras.Ackermann.cPair]
LispAbbreviations.cdr [in hydras.Ackermann.cPair]
LO.cons [in hydras.OrdinalNotations.OmegaOmega]
LO.FS [in hydras.OrdinalNotations.OmegaOmega]
LO.omega [in hydras.OrdinalNotations.OmegaOmega]
LO.phi0 [in hydras.OrdinalNotations.OmegaOmega]
LT [in hydras.solutions_exercises.MultisetWf]
LT [in gaia_hydras.T1Bridge]
lt_irrefl [in hydras.Prelude.Comparable]
lt_trans [in hydras.Prelude.Comparable]

M

mult [in hydras.Epsilon0.T1]
Mult [in hydras.Epsilon0.E0]

N

NF [in hydras.solutions_exercises.MultisetWf]
NNnotations.S_ [in hydras.Ackermann.LNN]
n2t [in hydras.Ackermann.LNN]

O

omega [in hydras.Epsilon0.T1]
omega [in hydras.OrdinalNotations.ON_Omega2]
omega [in hydras.Gamma0.T2]
omega [in hydras.OrdinalNotations.ON_Omega_plus_omega]
omega [in hydras.Schutte.Schutte_basics]
ONDef.Exports.ON [in gaia_hydras.onType]
ONDef.Exports.on [in gaia_hydras.onType]
ONDef.Exports.ONMixin [in gaia_hydras.onType]
one [in hydras.Epsilon0.T1]
one [in hydras.Gamma0.T2]
OO.omega [in hydras.OrdinalNotations.OmegaOmega]
ordinal [in hydras.Schutte.Schutte_basics]

P

path [in gaia_hydras.GPaths]
phi0 [in hydras.Epsilon0.T1]
phi0 [in hydras.Schutte.AP]
plus [in hydras.Epsilon0.T1]
Plus [in hydras.Epsilon0.E0]
power [in hydras.Prelude.More_Arith]
PReval [in hydras.Ackermann.primRec]
PRevalN [in hydras.Ackermann.primRec]
PRNotations.pi1_3 [in hydras.Ackermann.primRec]
PRNotations.pi1_2 [in hydras.Ackermann.primRec]
PRNotations.pi1_1 [in hydras.Ackermann.primRec]
PRNotations.pi2_3 [in hydras.Ackermann.primRec]
PRNotations.pi2_2 [in hydras.Ackermann.primRec]
PRNotations.pi3_3 [in hydras.Ackermann.primRec]
PRNotations.PRcomp [in hydras.Ackermann.primRec]
PRNotations.PRrec [in hydras.Ackermann.primRec]

R

reflection [in Goedel.goedel1]
rem [in Goedel.PRrepresentable]

S

substF2 [in hydras.Ackermann.folProp]
substF3 [in hydras.Ackermann.folProp]
substF4 [in hydras.Ackermann.folProp]
substF5 [in hydras.Ackermann.folProp]
substF6 [in hydras.Ackermann.folProp]
substF7 [in hydras.Ackermann.folProp]
substF8 [in hydras.Ackermann.folProp]
substF9 [in hydras.Ackermann.folProp]
substituteFormula [in hydras.Ackermann.folProp]
substituteTerm [in hydras.Ackermann.folProp]
substituteTerms [in hydras.Ackermann.folProp]
Succ [in hydras.Epsilon0.E0]
succb [in hydras.Epsilon0.T1]
SysPrf [in hydras.Ackermann.subAll]
System [in hydras.Ackermann.subAll]
System [in hydras.Ackermann.folProp]
System [in hydras.Ackermann.codeSubFormula]
System [in hydras.Ackermann.folLogic3]
S_ [in hydras.Ackermann.LNT]

T

Term [in hydras.Ackermann.subAll]
Term [in hydras.Ackermann.folProp]
Term [in hydras.Ackermann.codeSubFormula]
Term [in hydras.Ackermann.folLogic3]
Terms [in hydras.Ackermann.subAll]
Terms [in hydras.Ackermann.folProp]
Terms [in hydras.Ackermann.codeSubFormula]
Terms [in hydras.Ackermann.folLogic3]
Toy.A [in hydras.MoreAck.FolExamples]
Toy.a [in hydras.MoreAck.FolExamples]
Toy.B [in hydras.MoreAck.FolExamples]
Toy.b [in hydras.MoreAck.FolExamples]
Toy.C [in hydras.MoreAck.FolExamples]
Toy.f [in hydras.MoreAck.FolExamples]
Toy.g [in hydras.MoreAck.FolExamples]
Toy.h [in hydras.MoreAck.FolExamples]
Toy.P [in hydras.MoreAck.FolExamples]
Toy.Q [in hydras.MoreAck.FolExamples]
Toy.R [in hydras.MoreAck.FolExamples]
T1 [in gaia_hydras.T1Bridge]
T1omega [in hydras.Epsilon0.T1]
T2 [in gaia_hydras.T2Bridge]

U

undecidable [in hydras.Ackermann.folProof]
Usual.β [in Goedel.PRrepresentable]

V

vfourth [in hydras.Prelude.MoreVectors]
vfst [in hydras.Prelude.MoreVectors]
vsnd [in hydras.Prelude.MoreVectors]
vthird [in hydras.Prelude.MoreVectors]

Z

Zero [in hydras.Epsilon0.E0]

_

_Omega [in hydras.Epsilon0.E0]

other

β [in Goedel.PRrepresentable]
βR [in Goedel.PRrepresentable]
ω [in hydras.Epsilon0.T1]

---

Definition Index

A

A [in hydras.OrdinalNotations.ON_Omega2]
acc_from [in gaia_hydras.GPaths]
acc_from [in hydras.Epsilon0.Paths]
Ack [in hydras.MoreAck.Ack]
Ack [in hydras.MoreAck.Ack]
Ackermann.all_zero [in gaia_hydras.nfwfgaia]
Ackermann.epsilon0 [in gaia_hydras.nfwfgaia]
Ackermann.limit_of [in gaia_hydras.nfwfgaia]
Ackermann.limit12_hyp [in gaia_hydras.nfwfgaia]
Ackermann.lt_psi [in gaia_hydras.nfwfgaia]
Ackermann.lt_rec [in gaia_hydras.nfwfgaia]
Ackermann.lt_psi_rec [in gaia_hydras.nfwfgaia]
Ackermann.normal [in gaia_hydras.nfwfgaia]
Ackermann.omega [in gaia_hydras.nfwfgaia]
Ackermann.one [in gaia_hydras.nfwfgaia]
Ackermann.phi [in gaia_hydras.nfwfgaia]
Ackermann.phia [in gaia_hydras.nfwfgaia]
Ackermann.phi_rec [in gaia_hydras.nfwfgaia]
Ackermann.phi_rec_psi [in gaia_hydras.nfwfgaia]
Ackermann.phi0 [in gaia_hydras.nfwfgaia]
Ackermann.phi1 [in gaia_hydras.nfwfgaia]
Ackermann.phi10 [in gaia_hydras.nfwfgaia]
Ackermann.phi11 [in gaia_hydras.nfwfgaia]
Ackermann.phi12a [in gaia_hydras.nfwfgaia]
Ackermann.phi12b2 [in gaia_hydras.nfwfgaia]
Ackermann.phi12b3 [in gaia_hydras.nfwfgaia]
Ackermann.phi12b4 [in gaia_hydras.nfwfgaia]
Ackermann.phi12b5 [in gaia_hydras.nfwfgaia]
Ackermann.phi3 [in gaia_hydras.nfwfgaia]
Ackermann.phi4 [in gaia_hydras.nfwfgaia]
Ackermann.phi5 [in gaia_hydras.nfwfgaia]
Ackermann.phi6 [in gaia_hydras.nfwfgaia]
Ackermann.phi7 [in gaia_hydras.nfwfgaia]
Ackermann.phi8 [in gaia_hydras.nfwfgaia]
Ackermann.phi9 [in gaia_hydras.nfwfgaia]
Ackermann.psi_succ [in gaia_hydras.nfwfgaia]
Ackermann.size [in gaia_hydras.nfwfgaia]
Ackermann.sup_of [in gaia_hydras.nfwfgaia]
Ackermann.T1_T3 [in gaia_hydras.nfwfgaia]
Ackermann.T3add [in gaia_hydras.nfwfgaia]
Ackermann.T3ap [in gaia_hydras.nfwfgaia]
Ackermann.T3bad [in gaia_hydras.nfwfgaia]
Ackermann.T3eq [in gaia_hydras.nfwfgaia]
Ackermann.T3finite [in gaia_hydras.nfwfgaia]
Ackermann.T3is_succ [in gaia_hydras.nfwfgaia]
Ackermann.T3le [in gaia_hydras.nfwfgaia]
Ackermann.T3limit [in gaia_hydras.nfwfgaia]
Ackermann.T3lt [in gaia_hydras.nfwfgaia]
Ackermann.T3lta [in gaia_hydras.nfwfgaia]
Ackermann.T3nat [in gaia_hydras.nfwfgaia]
Ackermann.T3nf [in gaia_hydras.nfwfgaia]
Ackermann.T3pred [in gaia_hydras.nfwfgaia]
Ackermann.T3split [in gaia_hydras.nfwfgaia]
Ackermann.T3sub [in gaia_hydras.nfwfgaia]
Ackermann.T3succ [in gaia_hydras.nfwfgaia]
Ackermann.T3_eqType [in gaia_hydras.nfwfgaia]
Ackermann.T3_eqMixin [in gaia_hydras.nfwfgaia]
addExists [in Goedel.PRrepresentable]
addForalls [in Goedel.PRrepresentable]
add_r [in hydras.Hydra.Hydra_Definitions]
add_head_r_plus [in hydras.Hydra.Hydra_Definitions]
add_head_r [in hydras.Hydra.Hydra_Definitions]
Alive [in hydras.Hydra.Hydra_Definitions]
alpha_0_eq [in hydras.Epsilon0.T1]
alpha_0 [in hydras.Epsilon0.T1]
alpha1 [in hydras.OrdinalNotations.ON_Finite]
Alt.Ack [in hydras.MoreAck.Ack]
Alt.add' [in hydras.MoreAck.PrimRecExamples]
Alt.double [in additions.Demo]
Alt.Eps0_prec.status [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.prec [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_prec.A [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.arity [in hydras.Epsilon0.Epsilon0rpo]
Alt.Eps0_sig.symb [in hydras.Epsilon0.Epsilon0rpo]
Alt.nat_2_term [in hydras.Epsilon0.Epsilon0rpo]
Alt.transfinite_recursor [in hydras.Epsilon0.Epsilon0rpo]
Alt.transfinite_recursor_lt [in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_size [in hydras.Epsilon0.Epsilon0rpo]
Alt.T1_2_term [in hydras.Epsilon0.Epsilon0rpo]
Alt.Vars.var [in hydras.Epsilon0.Epsilon0rpo]
Alt.xpred [in hydras.MoreAck.PrimRecExamples]
Alt2.Ack [in hydras.MoreAck.Ack]
Alt2.test1 [in hydras.MoreAck.Ack]
Alt2.test2 [in hydras.MoreAck.Ack]
Alt3.ack [in hydras.MoreAck.Ack]
AM_power [in additions.AM]
andH [in hydras.Ackermann.fol]
andRel [in hydras.Ackermann.primRec]
any_chain_parametric [in additions.Addition_Chains]
ap [in hydras.OrdinalNotations.ON_Omega2]
AP [in hydras.Schutte.AP]
approx [in hydras.Epsilon0.Canon]
AxmEq4 [in hydras.Ackermann.folProof]
AxmEq5 [in hydras.Ackermann.folProof]
axp_scheme [in additions.Addition_Chains]
A_ [in hydras.Schutte.Critical]

B

bad [in hydras.OrdinalNotations.ON_Finite]
BadSubstF2.substF [in hydras.MoreAck.BadSubst]
BadSubst.substF [in hydras.MoreAck.BadSubst]
bad_term [in hydras.Epsilon0.T1]
Bad.correct_expt_function [in additions.FirstSteps]
Bad.fact [in additions.Monoid_instances]
Bad.Fchain_correct [in additions.Euclidean_Chains]
Bad.int63_from_nat [in additions.Monoid_instances]
Bad4.Fplus [in additions.Euclidean_Chains]
Bad4.F23 [in additions.Euclidean_Chains]
battle_length [in hydras.Hydra.Hydra_Definitions]
beta [in Goedel.PRrepresentable]
betaFormula [in Goedel.PRrepresentable]
beta_h [in hydras.Hydra.Epsilon0_Needed_Generic]
beta1 [in hydras.OrdinalNotations.ON_Finite]
bigarg [in additions.fib]
bigO [in hydras.OrdinalNotations.ON_Generic]
big_h [in hydras.Hydra.Epsilon0_Needed_Generic]
big0 [in hydras.Schutte.Schutte_basics]
binary_power_mult [in additions.FirstSteps]
binary_power_mult [in additions.Pow_variant]
binary_power_mult [in additions.Pow]
binary_power_mult [in additions.fib]
binary_chain [in additions.Addition_Chains]
bin_pow_scheme [in additions.Addition_Chains]
bits [in additions.fib]
bodd [in hydras.Ackermann.primRec]
bool_decide [in hydras.Prelude.STDPP_compat]
boundComputation [in hydras.Ackermann.codeSubFormula]
boundedSearch [in hydras.Ackermann.primRec]
boundedSearchHelp [in hydras.Ackermann.primRec]
bounded_by [in hydras.Prelude.MoreLists]
bounded_transitionS [in gaia_hydras.GPaths]
bounded_transitionS [in hydras.Epsilon0.Paths]
box [in Goedel.goedel2]
but_last [in hydras.Prelude.MoreLists]
B_termination [in hydras.Hydra.Hydra_Definitions]

C

call_lt [in hydras.Epsilon0.F_alpha]
canon [in hydras.OrdinalNotations.ON_Omega2]
canon [in gaia_hydras.GCanon]
Canon [in hydras.Epsilon0.Canon]
canon [in hydras.Epsilon0.Canon]
Canon_plus [in gaia_hydras.GF_alpha]
Canon_plus [in gaia_hydras.GPaths]
Canon_plus [in hydras.Epsilon0.Paths]
CantorOrdinal.exp_O [in gaia_hydras.nfwfgaia]
CantorOrdinal.exp_F [in gaia_hydras.nfwfgaia]
CantorOrdinal.ex_middle [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_fct [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_of [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_v2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.limit_v1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.normal [in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_plus_n [in gaia_hydras.nfwfgaia]
CantorOrdinal.omega_tower [in gaia_hydras.nfwfgaia]
CantorOrdinal.one [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi0 [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi1 [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi2 [in gaia_hydras.nfwfgaia]
CantorOrdinal.phi3 [in gaia_hydras.nfwfgaia]
CantorOrdinal.sup [in gaia_hydras.nfwfgaia]
CantorOrdinal.toNF [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1add [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1ap [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1bad [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1div_by_omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1eq [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1exp [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1finite [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1is_succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1le [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1limit [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1log [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1lt [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1mul [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nat [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1nf [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1omega [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1pred [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1split [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1sub [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1succ [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1_eqType [in gaia_hydras.nfwfgaia]
CantorOrdinal.T1_eqMixin [in gaia_hydras.nfwfgaia]
chain [in additions.Addition_Chains]
chain_apply [in additions.AM]
chain_trace [in additions.Trace_exercise]
chain_type [in additions.Euclidean_Chains]
chain_generator [in additions.Addition_Chains]
chain_correct [in additions.Addition_Chains]
chain_correct_nat [in additions.Addition_Chains]
chain_apply [in additions.Addition_Chains]
chain_execute [in additions.Addition_Chains]
chain_length [in additions.Addition_Chains]
charFunction [in hydras.Ackermann.extEqualNat]
checkPrf [in hydras.Ackermann.checkPrf]
checkPrfAXM [in hydras.Ackermann.checkPrf]
checkPrfCP [in hydras.Ackermann.checkPrf]
checkPrfEQ1 [in hydras.Ackermann.checkPrf]
checkPrfEQ2 [in hydras.Ackermann.checkPrf]
checkPrfEQ3 [in hydras.Ackermann.checkPrf]
checkPrfEQ4 [in hydras.Ackermann.checkPrf]
checkPrfEQ5 [in hydras.Ackermann.checkPrf]
checkPrfFA1 [in hydras.Ackermann.checkPrf]
checkPrfFA2 [in hydras.Ackermann.checkPrf]
checkPrfFA3 [in hydras.Ackermann.checkPrf]
checkPrfGEN [in hydras.Ackermann.checkPrf]
checkPrfHelp [in hydras.Ackermann.checkPrf]
checkPrfIMP1 [in hydras.Ackermann.checkPrf]
checkPrfIMP2 [in hydras.Ackermann.checkPrf]
checkPrfMP [in hydras.Ackermann.checkPrf]
checkSubFormulaTrace [in hydras.Ackermann.codeSubFormula]
classic_battle [in hydras.Hydra.Hydra_Lemmas]
clog2 [in additions.Addition_Chains]
close [in hydras.Ackermann.folProp]
closed [in hydras.Ackermann.folProp]
Closed [in hydras.Schutte.Schutte_basics]
ClosedSystem [in hydras.Ackermann.folProp]
closeFrom [in hydras.Ackermann.subAll]
closeList [in hydras.Ackermann.folProp]
cnf_t [in hydras.Schutte.CNF]
code [in additions.AM]
codeAnd [in hydras.Ackermann.code]
codeApp [in hydras.Ackermann.codeList]
codeArityLNNR [in hydras.Ackermann.Languages]
codeArityLNTF [in hydras.Ackermann.Languages]
codeArityLNTR [in hydras.Ackermann.Languages]
codeAxmEqHelp [in hydras.Ackermann.checkPrf]
codeClose [in hydras.Ackermann.codePA]
codeCloseList [in hydras.Ackermann.codePA]
codeF [in hydras.Ackermann.code]
codeFNN [in Goedel.goedel1]
codeForall [in hydras.Ackermann.code]
codeFormula [in hydras.Ackermann.code]
codeFormula [in Goedel.rosserPA]
codeFormula [in Goedel.rosser]
codeFreeVarFormula [in hydras.Ackermann.codeFreeVar]
codeFreeVarListFormula [in hydras.Ackermann.codeFreeVar]
codeFreeVarTerm [in hydras.Ackermann.codeFreeVar]
codeFreeVarTerms [in hydras.Ackermann.codeFreeVar]
codeFreeVarTermTerms [in hydras.Ackermann.codeFreeVar]
codeIff [in hydras.Ackermann.code]
codeImp [in hydras.Ackermann.code]
codeIn [in hydras.Ackermann.codeList]
codeInductionSchema [in hydras.Ackermann.codePA]
codeLength [in hydras.Ackermann.codeList]
codeList [in hydras.Ackermann.cPair]
codeListRemove [in hydras.Ackermann.codeList]
codeLNNRelation [in hydras.Ackermann.Languages]
codeLNTFunction [in hydras.Ackermann.Languages]
codeLNTRelation [in hydras.Ackermann.Languages]
codeNatToTerm [in hydras.Ackermann.codeNatToTerm]
codeNewVar [in hydras.Ackermann.codeSubFormula]
codeNoDup [in hydras.Ackermann.codeList]
codeNot [in hydras.Ackermann.code]
codeNth [in hydras.Ackermann.cPair]
codeNVars1 [in hydras.Ackermann.checkPrf]
codeNVars2 [in hydras.Ackermann.checkPrf]
codeOpen [in hydras.Ackermann.codePA]
codeOr [in hydras.Ackermann.code]
codePA [in hydras.Ackermann.codePA]
codePrf [in hydras.Ackermann.code]
codePrf [in Goedel.rosserPA]
codePrf [in Goedel.rosser]
codeR [in hydras.Ackermann.code]
codeSubFormula [in hydras.Ackermann.codeSubFormula]
codeSubTerm [in hydras.Ackermann.codeSubTerm]
codeSubTerms [in hydras.Ackermann.codeSubTerm]
codeSubTermTerms [in hydras.Ackermann.codeSubTerm]
codeSysPf [in Goedel.codeSysPrf]
codeSysPf [in Goedel.goedel1]
codeSysPf [in Goedel.goedel2]
codeSysPfCorrect [in Goedel.goedel1]
codeSysPfCorrect [in Goedel.goedel2]
codeSysPrf [in Goedel.rosserPA]
codeSysPrf [in Goedel.codeSysPrf]
codeSysPrf [in Goedel.goedel1]
codeSysPrf [in Goedel.rosser]
codeSysPrfCorrect1 [in Goedel.rosserPA]
codeSysPrfCorrect1 [in Goedel.rosser]
codeSysPrfCorrect2 [in Goedel.rosserPA]
codeSysPrfCorrect2 [in Goedel.goedel1]
codeSysPrfCorrect2 [in Goedel.rosser]
codeSysPrfCorrect3 [in Goedel.rosserPA]
codeSysPrfCorrect3 [in Goedel.goedel1]
codeSysPrfCorrect3 [in Goedel.rosser]
codeSysPrfNCorrect1 [in Goedel.rosserPA]
codeSysPrfNCorrect1 [in Goedel.rosser]
codeSysPrfNCorrect2 [in Goedel.rosserPA]
codeSysPrfNCorrect2 [in Goedel.rosser]
codeSysPrfNCorrect3 [in Goedel.rosserPA]
codeSysPrfNCorrect3 [in Goedel.rosser]
codeSysPrfNot [in Goedel.rosserPA]
codeSysPrfNot [in Goedel.codeSysPrf]
codeSysPrfNot [in Goedel.rosser]
codeTerm [in hydras.Ackermann.code]
codeTerms [in hydras.Ackermann.code]
Compat815.ind_0_1_SS [in hydras.Prelude.Compat815]
composeSigmaFormula [in Goedel.PRrepresentable]
compose2 [in hydras.Ackermann.primRec]
computation_equiv [in additions.Euclidean_Chains]
computation_eval [in additions.Addition_Chains]
computation_execute [in additions.Addition_Chains]
computation_length [in additions.Addition_Chains]
comp128 [in additions.Addition_Chains]
Con [in Goedel.goedel2]
config [in additions.AM]
config_equiv [in additions.AM]
Consistent [in hydras.Ackermann.folProof]
const_path [in gaia_hydras.GPaths]
const_pathS_eps [in hydras.Epsilon0.Paths]
const_path [in hydras.Epsilon0.Paths]
const_pathS [in hydras.Epsilon0.Paths]
continuous [in hydras.Schutte.Schutte_basics]
correctness_statement [in additions.AM]
correctness_statement [in additions.Euclidean_Chains]
correct_generator [in additions.Addition_Chains]
cPair [in hydras.Ackermann.cPair]
cPairPi1 [in hydras.Ackermann.cPair]
cPairPi2 [in hydras.Ackermann.cPair]
cpower [in additions.Addition_Chains]
cpower_pos [in additions.Addition_Chains]
Cr [in hydras.Schutte.Critical]
Cr_fun [in hydras.Schutte.Critical]
cTriple [in hydras.Ackermann.cPair]
cTriplePi1 [in hydras.Ackermann.cPair]
cTriplePi2 [in hydras.Ackermann.cPair]
cTriplePi3 [in hydras.Ackermann.cPair]
C1 [in additions.Addition_Chains]
c153 [in additions.Fib2]
C3 [in additions.Addition_Chains]
C31_7 [in additions.AM]
C7 [in additions.Addition_Chains]
C7_ok' [in additions.Addition_Chains]
C7_ok [in additions.Addition_Chains]
C87 [in additions.Addition_Chains]
C87_ok [in additions.Addition_Chains]
C87' [in additions.Euclidean_Chains]

D

DecidableSet [in Goedel.rosser]
depth [in hydras.Ackermann.fol]
dicho [in additions.Dichotomy]
dominates [in hydras.Prelude.Iterates]
dominates [in gaia_hydras.T1Bridge]
dominates_strong [in hydras.Prelude.Iterates]
dominates_from [in hydras.Prelude.Iterates]
dominates_strong [in gaia_hydras.T1Bridge]
dominates_from [in gaia_hydras.T1Bridge]
double [in hydras.solutions_exercises.MorePRExamples]
double [in hydras.MoreAck.PrimRecExamples]
doubleS [in hydras.Hydra.BigBattle]

E

Elements [in hydras.Epsilon0.T1]
epsilon [in hydras.Gamma0.T2]
epsilon_0 [in hydras.Epsilon0.T1]
epsilon0 [in hydras.Schutte.AP]
equiv [in hydras.Prelude.Sort_spec]
eval [in hydras.Schutte.CNF]
evalComposeFunc [in hydras.Ackermann.primRec]
evalConstFunc [in hydras.Ackermann.primRec]
evalList [in hydras.Ackermann.primRec]
evalOneParamList [in hydras.Ackermann.primRec]
evalPrimRec [in hydras.Ackermann.primRec]
evalPrimRecFunc [in hydras.Ackermann.primRec]
evalPrimRecs [in hydras.Ackermann.primRec]
evalProjFunc [in hydras.Ackermann.primRec]
evalStrongRec [in hydras.Ackermann.cPair]
evalStrongRecHelp [in hydras.Ackermann.cPair]
eval_pp [in hydras.Epsilon0.T1]
Ex [in hydras.Epsilon0.Large_Sets]
exact_log2 [in additions.More_on_positive]
Examples.big_chain [in additions.Euclidean_Chains]
Examples.binary_int31_power [in additions.Euclidean_Chains]
Examples.C87' [in additions.Euclidean_Chains]
Examples.exact_sqrt [in hydras.Ackermann.primRec]
Examples.exp56789 [in additions.Euclidean_Chains]
Examples.Exx [in hydras.Hydra.Hydra_Examples]
Examples.ex_2 [in hydras.Hydra.Hydra_Examples]
Examples.ex1 [in hydras.Hydra.Hydra_Examples]
Examples.ex4 [in hydras.Hydra.Hydra_Examples]
Examples.Ex5 [in hydras.Hydra.Hydra_Examples]
Examples.fast_int63_power [in additions.Euclidean_Chains]
Examples.height_not_strictly_decreasing [in hydras.Hydra.Hydra_Examples]
Examples.hsize_bigger [in hydras.Hydra.Hydra_Examples]
Examples.Hy [in hydras.Hydra.Hydra_Examples]
Examples.Hy_Hy''' [in hydras.Hydra.Hydra_Examples]
Examples.Hy_3 [in hydras.Hydra.Hydra_Examples]
Examples.Hy_2 [in hydras.Hydra.Hydra_Examples]
Examples.Hy_1 [in hydras.Hydra.Hydra_Examples]
Examples.Hy' [in hydras.Hydra.Hydra_Examples]
Examples.Hy'H'' [in hydras.Hydra.Hydra_Examples]
Examples.Hy'' [in hydras.Hydra.Hydra_Examples]
Examples.Hy''_Hy''' [in hydras.Hydra.Hydra_Examples]
Examples.Hy''' [in hydras.Hydra.Hydra_Examples]
Examples.M [in additions.Euclidean_Chains]
Examples.R2_example [in hydras.Hydra.Hydra_Examples]
Examples.slow_int31_power [in additions.Euclidean_Chains]
Examples.sqrtHelp [in hydras.Ackermann.primRec]
Examples.Unnamed_thm [in additions.Euclidean_Chains]
exec [in additions.AM]
existH [in hydras.Ackermann.fol]
exp [in hydras.Epsilon0.T1]
exp [in hydras.solutions_exercises.MorePRExamples]
exponents [in additions.Trace_exercise]
exponents_le [in hydras.Schutte.CNF]
exponents_lt [in hydras.Schutte.CNF]
Expressible [in hydras.Ackermann.expressible]
ExpressibleHelp [in hydras.Ackermann.expressible]
expressT'1 [in Goedel.goedel2]
expressT'2 [in Goedel.goedel2]
exp_F [in hydras.Epsilon0.T1]
exp_alt [in hydras.solutions_exercises.MorePRExamples]
exp2 [in additions.Addition_Chains]
exp2 [in hydras.Prelude.Exp2]
extendsNN [in Goedel.goedel2]
extEqual [in hydras.Ackermann.extEqualNat]
extEqualVector [in hydras.Ackermann.primRec]
extEqualVectorGeneral [in hydras.Ackermann.primRec]
extEqual_ex1 [in hydras.MoreAck.PrimRecExamples]
ex_pos [in gaia_hydras.T1Choice]
ex_path4 [in gaia_hydras.GPaths]
ex_path3 [in gaia_hydras.GPaths]
ex_path2 [in gaia_hydras.GPaths]
ex_path1 [in gaia_hydras.GPaths]
ex_pathS2 [in hydras.Epsilon0.Large_Sets_Examples]
ex_pathS1 [in hydras.Epsilon0.Large_Sets_Examples]
ex_bool [in additions.Monoid_def]
ex_string [in additions.Monoid_def]
ex_path4 [in hydras.Epsilon0.Paths]
ex_path3 [in hydras.Epsilon0.Paths]
ex_path2 [in hydras.Epsilon0.Paths]
ex_path1 [in hydras.Epsilon0.Paths]
ex0 [in gaia_hydras.GCanon]
Ex1 [in hydras.Epsilon0.T1]
Ex1 [in hydras.OrdinalNotations.ON_Omega2]
ex1 [in hydras.OrdinalNotations.ON_Omega2]
Ex1 [in hydras.Gamma0.T2]
ex1 [in gaia_hydras.GCanon]
Ex1 [in hydras.Schutte.MoreEpsilonIota]
ex1 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Ex1 [in hydras.solutions_exercises.MultisetWf]
Ex1 [in hydras.Epsilon0.Large_Sets_Examples]
Ex1 [in hydras.OrdinalNotations.ON_Finite]
Ex1 [in gaia_hydras.GaiaToHydra]
Ex1 [in hydras.MoreAck.PrimRecExamples]
Ex1 [in hydras.Prelude.Simple_LexProd]
Ex10 [in hydras.Gamma0.Gamma0]
Ex2 [in hydras.Epsilon0.T1]
Ex2 [in hydras.Gamma0.T2]
Ex2 [in hydras.MoreAck.AckNotPR]
ex2 [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Ex2 [in hydras.solutions_exercises.MultisetWf]
Ex2 [in hydras.Epsilon0.Large_Sets_Examples]
Ex2 [in hydras.MoreAck.PrimRecExamples]
Ex2 [in hydras.Prelude.Simple_LexProd]
Ex3 [in hydras.Epsilon0.T1]
Ex3 [in hydras.Gamma0.T2]
ex3 [in hydras.Epsilon0.Large_Sets]
Ex3 [in hydras.solutions_exercises.MultisetWf]
Ex3 [in hydras.MoreAck.PrimRecExamples]
Ex4 [in hydras.Epsilon0.T1]
Ex4 [in hydras.Gamma0.T2]
Ex4 [in hydras.MoreAck.AckNotPR]
Ex4 [in hydras.MoreAck.PrimRecExamples]
Ex42 [in hydras.Schutte.Schutte]
Ex42 [in hydras.OrdinalNotations.OmegaOmega]
Ex42 [in hydras.Epsilon0.E0]
Ex5 [in hydras.Epsilon0.T1]
Ex5 [in hydras.Gamma0.T2]
Ex6 [in hydras.Gamma0.T2]
Ex6 [in hydras.Gamma0.Gamma0]
Ex7 [in hydras.Gamma0.T2]
Ex7 [in hydras.Gamma0.Gamma0]
Ex8 [in hydras.Gamma0.T2]
Ex8 [in hydras.Gamma0.Gamma0]
Ex9 [in hydras.Gamma0.Gamma0]
E0Canon [in gaia_hydras.GCanon]
E0eqb [in gaia_hydras.T1Bridge]
E0fin [in gaia_hydras.T1Bridge]
E0is_succ [in gaia_hydras.T1Bridge]
E0is_succ [in hydras.Epsilon0.E0]
E0le [in gaia_hydras.T1Bridge]
E0le [in hydras.Epsilon0.E0]
E0limit [in gaia_hydras.T1Bridge]
E0limit [in hydras.Epsilon0.E0]
E0lt [in gaia_hydras.T1Bridge]
E0lt [in hydras.Epsilon0.E0]
E0mul [in gaia_hydras.T1Bridge]
E0plus [in gaia_hydras.T1Bridge]
e0Sub [in gaia_hydras.T1Bridge]
E0zero [in gaia_hydras.T1Bridge]
E0_g2h [in gaia_hydras.T1Bridge]
E0_h2g [in gaia_hydras.T1Bridge]
E0_phi0 [in gaia_hydras.T1Bridge]
E0_omega [in gaia_hydras.T1Bridge]
E0_pred [in gaia_hydras.T1Bridge]
E0_succ [in gaia_hydras.T1Bridge]
E0_eqtype [in gaia_hydras.T1Bridge]
E0_eq_mixin [in gaia_hydras.T1Bridge]
E0_pred [in hydras.Epsilon0.E0]
E1 [in hydras.Epsilon0.T1]
e1 [in hydras.OrdinalNotations.ON_Omega2]
E2 [in hydras.Epsilon0.T1]
e2 [in hydras.OrdinalNotations.ON_Omega2]

F

f [in hydras.OrdinalNotations.Example_3PlusOmega]
F [in Goedel.goedel2]
fact [in hydras.solutions_exercises.MorePRExamples]
fact_alt [in hydras.solutions_exercises.MorePRExamples]
Fapply [in additions.Euclidean_Chains]
fastexp [in additions.fib]
fastexp2 [in additions.fib]
fastexp3 [in additions.fib]
fastexp4 [in additions.fib]
Fchain [in additions.Euclidean_Chains]
Fchain_correct [in additions.AM]
Fchain_correct [in additions.Euclidean_Chains]
Fchain_correct_nat [in additions.Euclidean_Chains]
Fcompose [in additions.Euclidean_Chains]
Fexp2 [in additions.Euclidean_Chains]
Fexp2_of_nat [in additions.Euclidean_Chains]
FFK [in additions.AM]
FFK [in additions.Euclidean_Chains]
fib [in additions.Fib2]
fib [in hydras.solutions_exercises.FibonacciPR]
fib [in additions.fib]
fibm [in additions.fib]
fibonacci [in additions.FirstSteps]
fibonacci [in additions.Naive]
fibPR [in hydras.solutions_exercises.FibonacciPR]
fibt [in additions.fib]
fib_with_chain [in additions.Fib2]
fib_eucl [in additions.Fib2]
fib_pos [in additions.Fib2]
fib_mul2 [in additions.Fib2]
fib_alt [in hydras.solutions_exercises.FibonacciPR]
fin [in hydras.OrdinalNotations.ON_Omega2]
fin [in hydras.Gamma0.T2]
fin [in hydras.OrdinalNotations.ON_Omega_plus_omega]
find [in hydras.rpo.more_list]
finite [in hydras.Schutte.Schutte_basics]
finord_lt [in gaia_hydras.ON_gfinite]
first_toggle [in hydras.Prelude.First_toggle]
FixpointDef.oplus [in gaia_hydras.GHessenberg]
FixR [in hydras.Prelude.Restriction]
FixR_F [in hydras.Prelude.Restriction]
FK [in additions.AM]
FK [in additions.Euclidean_Chains]
Fkont [in additions.Euclidean_Chains]
Fkont_equiv [in additions.Euclidean_Chains]
flatten [in additions.Addition_Chains]
flatten_aux [in additions.Addition_Chains]
fold_left2 [in hydras.rpo.more_list]
foo [in hydras.Prelude.Fuel]
Formula [in hydras.Ackermann.LNN]
Formula [in hydras.Ackermann.LNT]
Formulas [in hydras.Ackermann.LNN]
Formulas [in hydras.Ackermann.LNT]
Formulas [in hydras.Ackermann.fol]
FormulasToFormula [in Goedel.PRrepresentable]
FormulasToFuncs [in Goedel.PRrepresentable]
Formula_depth_ind [in hydras.Ackermann.fol]
Formula_depth_rec2 [in hydras.Ackermann.fol]
Formula_depth_rec2rec [in hydras.Ackermann.fol]
Formula_depth_rec [in hydras.Ackermann.fol]
Formula_depth_rec_rec [in hydras.Ackermann.fol]
freeVarCodeSysPrfN [in Goedel.rosserPA]
freeVarCodeSysPrfN [in Goedel.rosser]
freeVarF [in hydras.Ackermann.folProp]
freeVarListFormula [in hydras.Ackermann.folProp]
freeVarMap [in hydras.Ackermann.subAll]
freeVarRepT' [in Goedel.goedel2]
freeVarT [in hydras.Ackermann.folProp]
freeVarTs [in hydras.Ackermann.folProp]
fun_le [in hydras.Prelude.Iterates]
fun_le [in gaia_hydras.T1Bridge]
fun_restr [in hydras.Schutte.PartialFun]
fun_inj [in hydras.Schutte.PartialFun]
fun_onto [in hydras.Schutte.PartialFun]
fun_codomain [in hydras.Schutte.PartialFun]
fun_equiv [in hydras.Schutte.Ordering_Functions]
fun2PR [in hydras.Ackermann.primRec]
fusion [in additions.Trace_exercise]
F_ [in gaia_hydras.GF_alpha]
f_ [in hydras.Epsilon0.F_alpha]
f_star [in hydras.Epsilon0.F_alpha]
F_ [in hydras.Epsilon0.F_alpha]
F_star [in hydras.Epsilon0.F_alpha]
f0 [in hydras.MoreAck.LNN_Examples]
F1 [in additions.AM]
F1 [in additions.Euclidean_Chains]
f1 [in hydras.MoreAck.FolExamples]
F144 [in additions.Euclidean_Chains]
F197887 [in additions.AM]
F2 [in additions.Euclidean_Chains]
f2 [in hydras.MoreAck.FolExamples]
F2C [in additions.Euclidean_Chains]
F2q [in additions.AM]
F2q_of_nat [in additions.AM]
F3 [in additions.AM]
F3 [in additions.Euclidean_Chains]
f3 [in hydras.MoreAck.FolExamples]
F87 [in additions.Euclidean_Chains]
F9 [in additions.Euclidean_Chains]

G

g [in hydras.OrdinalNotations.Example_3PlusOmega]
G [in Goedel.goedel1]
g [in hydras.Schutte.Ordering_Functions]
G [in Goedel.goedel2]
gamma_ [in hydras.Schutte.Critical]
Gamma0 [in hydras.Schutte.Critical]
Gamma0_prec.status [in hydras.Gamma0.Gamma0]
Gamma0_prec.prec [in hydras.Gamma0.Gamma0]
Gamma0_prec.A [in hydras.Gamma0.Gamma0]
Gamma0_sig.arity [in hydras.Gamma0.Gamma0]
Gamma0_sig.symb [in hydras.Gamma0.Gamma0]
Gamma0.epsilon0 [in gaia_hydras.nfwfgaia]
Gamma0.lt_psi [in gaia_hydras.nfwfgaia]
Gamma0.lt_rec [in gaia_hydras.nfwfgaia]
Gamma0.omega [in gaia_hydras.nfwfgaia]
Gamma0.one [in gaia_hydras.nfwfgaia]
Gamma0.phi [in gaia_hydras.nfwfgaia]
Gamma0.psi [in gaia_hydras.nfwfgaia]
Gamma0.psi_phi [in gaia_hydras.nfwfgaia]
Gamma0.psi_phi_aux [in gaia_hydras.nfwfgaia]
Gamma0.size [in gaia_hydras.nfwfgaia]
Gamma0.T1T2 [in gaia_hydras.nfwfgaia]
Gamma0.T2add [in gaia_hydras.nfwfgaia]
Gamma0.T2ap [in gaia_hydras.nfwfgaia]
Gamma0.T2eq [in gaia_hydras.nfwfgaia]
Gamma0.T2finite [in gaia_hydras.nfwfgaia]
Gamma0.T2finite1 [in gaia_hydras.nfwfgaia]
Gamma0.T2is_succ [in gaia_hydras.nfwfgaia]
Gamma0.T2le [in gaia_hydras.nfwfgaia]
Gamma0.T2limit [in gaia_hydras.nfwfgaia]
Gamma0.T2lt [in gaia_hydras.nfwfgaia]
Gamma0.T2lta [in gaia_hydras.nfwfgaia]
Gamma0.T2nat [in gaia_hydras.nfwfgaia]
Gamma0.T2nf [in gaia_hydras.nfwfgaia]
Gamma0.T2pred [in gaia_hydras.nfwfgaia]
Gamma0.T2split [in gaia_hydras.nfwfgaia]
Gamma0.T2sub [in gaia_hydras.nfwfgaia]
Gamma0.T2succ [in gaia_hydras.nfwfgaia]
Gamma0.T2_pr2 [in gaia_hydras.nfwfgaia]
Gamma0.T2_pr1 [in gaia_hydras.nfwfgaia]
Gamma0.T2_eqType [in gaia_hydras.nfwfgaia]
Gamma0.T2_eqMixin [in gaia_hydras.nfwfgaia]
gamma1 [in hydras.OrdinalNotations.ON_Finite]
ge [in hydras.Schutte.Schutte_basics]
get_decomposition [in hydras.Epsilon0.T1]
gnaw [in gaia_hydras.GPaths]
Gnaw [in hydras.Epsilon0.Large_Sets]
gnaw [in hydras.Epsilon0.Paths]
gnawS [in gaia_hydras.GPaths]
GnawS [in hydras.Epsilon0.Large_Sets]
gnawS [in hydras.Epsilon0.Paths]
GRelation [in hydras.Schutte.GRelations]
gstrict_lub [in gaia_hydras.T1Bridge]
gtail [in hydras.Gamma0.T2]
G0.Ex42 [in hydras.Gamma0.Gamma0]
G0.le [in hydras.Gamma0.Gamma0]
G0.lt [in hydras.Gamma0.Gamma0]
G0.LT [in hydras.Gamma0.Gamma0]
g2h [in gaia_hydras.T1Bridge]
g2h [in gaia_hydras.T2Bridge]
g2h_seq [in gaia_hydras.T1Bridge]

H

half [in additions.BinaryStrat]
hcons_mult [in hydras.Hydra.Hydra_Definitions]
height [in hydras.Hydra.Hydra_Definitions]
hinit [in hydras.Hydra.BigBattle]
hsize [in hydras.Hydra.Hydra_Definitions]
hs2l [in hydras.Hydra.Hydra_Definitions]
Hydrae_rect2 [in hydras.Hydra.Hydra_Definitions]
Hydra_rect2 [in hydras.Hydra.Hydra_Definitions]
hyd_mult [in hydras.Hydra.Hydra_Definitions]
hyper_exp2 [in hydras.Prelude.Iterates]
hy_app [in hydras.Hydra.Hydra_Definitions]
h_forall [in hydras.Hydra.Hydra_Definitions]
H'_ [in gaia_hydras.GHprime]
H'_succ_fun [in hydras.Epsilon0.Hprime]
H'_ [in hydras.Epsilon0.Hprime]
h0 [in hydras.Hydra.KP_example]
h1 [in hydras.Hydra.KP_example]
h2 [in hydras.Hydra.KP_example]
h2g [in gaia_hydras.T1Bridge]
h2g [in gaia_hydras.T2Bridge]
h2g_seq [in gaia_hydras.T1Bridge]
h3 [in hydras.Hydra.KP_example]

I

Id2 [in additions.Monoid_instances]
iffH [in hydras.Ackermann.fol]
ifThenElseH [in hydras.Ackermann.fol]
ignoreParams [in hydras.Ackermann.primRec]
image [in hydras.Schutte.PartialFun]
Included_s [in hydras.Prelude.DecPreOrder_Instances]
Inconsistent [in hydras.Ackermann.folProof]
independent [in hydras.Ackermann.folProof]
InductionSchema [in hydras.Ackermann.PA]
Infinite [in hydras.solutions_exercises.Limit_Infinity]
inject [in hydras.Schutte.Correctness_E0]
interpFormula [in hydras.Ackermann.model]
interpRels [in hydras.Ackermann.model]
interpTerm [in hydras.Ackermann.model]
interpTerms [in hydras.Ackermann.model]
interpTermsVector [in hydras.Ackermann.model]
interval [in hydras.Prelude.MoreLists]
inv [in hydras.solutions_exercises.FibonacciPR]
inv_fun [in hydras.Schutte.PartialFun]
In_freeVarSys [in hydras.Ackermann.folProp]
iota [in hydras.Hydra.O2H]
iota [in hydras.solutions_exercises.MultisetWf]
iotas [in hydras.Hydra.O2H]
iota_from [in hydras.Prelude.MoreLists]
iota_fun [in hydras.Schutte.PartialFun]
iota_demo.Bad.bottom [in hydras.Schutte.Schutte_basics]
iota_demo.zero [in hydras.Schutte.Schutte_basics]
iota_demo.zero [in hydras.Schutte.Schutte_basics]
iota_ij [in hydras.OrdinalNotations.ON_Finite]
Iso_same_op [in hydras.OrdinalNotations.ON_Generic]
Iso_same_fun [in hydras.OrdinalNotations.ON_Generic]
Iso_same_cst [in hydras.OrdinalNotations.ON_Generic]
isqrt [in hydras.solutions_exercises.isqrt]
isqrt_spec [in hydras.solutions_exercises.isqrt]
is_lub [in hydras.Schutte.Lub]
is_cnf_of [in hydras.Schutte.CNF]
is_limit [in hydras.Schutte.Schutte_basics]
is_succ [in hydras.Schutte.Schutte_basics]
is_finite [in hydras.Schutte.Schutte_basics]
is_successor_of [in gaia_hydras.onType]
iterate [in hydras.Prelude.Iterates]
iterate [in hydras.Ackermann.primRec]
i1 [in hydras.OrdinalNotations.ON_Finite]
i2 [in hydras.OrdinalNotations.ON_Finite]

K

Kchain [in additions.Euclidean_Chains]
Kchain_correct [in additions.AM]
Kchain_correct [in additions.Euclidean_Chains]
Kchain_correct_nat [in additions.Euclidean_Chains]
KFF [in additions.AM]
KFF [in additions.Euclidean_Chains]
KFK [in additions.AM]
KFK [in additions.Euclidean_Chains]
Kkont [in additions.Euclidean_Chains]
Kkont_equiv [in additions.Euclidean_Chains]
Kkont_proper [in additions.Euclidean_Chains]
kont_type [in additions.Euclidean_Chains]
KP_arrowS [in hydras.Epsilon0.Paths]
k17_7 [in additions.Euclidean_Chains]
K2F [in additions.Euclidean_Chains]
k3_1 [in additions.Euclidean_Chains]
k7_3 [in additions.Euclidean_Chains]
K99_24 [in additions.AM]

L

language_decidable [in hydras.Ackermann.fol]
Large [in hydras.Epsilon0.Large_Sets]
large [in hydras.Epsilon0.Large_Sets]
large [in gaia_hydras.GLarge_Sets]
Largeb [in hydras.Epsilon0.Large_Sets]
largeb [in hydras.Epsilon0.Large_Sets]
LargeS [in hydras.Epsilon0.Large_Sets]
largeS [in hydras.Epsilon0.Large_Sets]
largeS [in gaia_hydras.GLarge_Sets]
LargeSb [in hydras.Epsilon0.Large_Sets]
largeSb [in hydras.Epsilon0.Large_Sets]
large_set_check [in hydras.Epsilon0.Large_Sets_Examples]
LE [in hydras.Epsilon0.T1]
le [in hydras.Gamma0.T2]
le [in hydras.OrdinalNotations.ON_O]
le [in hydras.OrdinalNotations.ON_mult]
le [in hydras.OrdinalNotations.ON_plus]
le [in hydras.Schutte.Schutte_basics]
Le [in hydras.Schutte.Well_Orders]
Least [in hydras.Prelude.MoreOrders]
least_fixpoint [in hydras.Schutte.Well_Orders]
least_member [in hydras.Schutte.Well_Orders]
leBool [in hydras.Ackermann.primRec]
leq [in hydras.Prelude.MoreOrders]
lex [in hydras.rpo.rpo]
lexlt [in hydras.solutions_exercises.MultisetWf]
lexnf [in hydras.solutions_exercises.MultisetWf]
lex_nat [in hydras.MoreAck.Ack]
lheight [in hydras.Hydra.Hydra_Definitions]
lhsize [in hydras.Hydra.Hydra_Definitions]
Limit [in hydras.Prelude.MoreOrders]
limitb [in hydras.OrdinalNotations.ON_Omega2]
limitb [in hydras.OrdinalNotations.ON_Omega_plus_omega]
limit_of [in gaia_hydras.onType]
limit_v2 [in gaia_hydras.onType]
listValues [in hydras.Ackermann.cPair]
list_rec3 [in hydras.rpo.more_list]
list_rec2 [in hydras.rpo.more_list]
list_size [in hydras.rpo.more_list]
LNN [in hydras.Ackermann.Languages]
LNNArityF [in hydras.Ackermann.Languages]
LNNArityR [in hydras.Ackermann.Languages]
LNN2LNT_formula [in hydras.Ackermann.LNN2LNT]
LNN2LNT_terms [in hydras.Ackermann.LNN2LNT]
LNN2LNT_term [in hydras.Ackermann.LNN2LNT]
LNT [in hydras.Ackermann.Languages]
LNTFunctionArity [in hydras.Ackermann.Languages]
LNTRelationR [in hydras.Ackermann.Languages]
LNT.Plus [in hydras.Ackermann.LNT]
LNT.Succ [in hydras.Ackermann.LNT]
LNT.Times [in hydras.Ackermann.LNT]
LNT.Zero [in hydras.Ackermann.LNT]
LNT2LNN_formula [in hydras.Ackermann.LNN2LNT]
LNT2LNN_terms [in hydras.Ackermann.LNN2LNT]
LNT2LNN_term [in hydras.Ackermann.LNN2LNT]
LO.fin [in hydras.OrdinalNotations.OmegaOmega]
LO.limitb [in hydras.OrdinalNotations.OmegaOmega]
LO.lt [in hydras.OrdinalNotations.OmegaOmega]
LO.mult [in hydras.OrdinalNotations.OmegaOmega]
LO.nf [in hydras.OrdinalNotations.OmegaOmega]
LO.nf_b [in hydras.OrdinalNotations.OmegaOmega]
LO.plus [in hydras.OrdinalNotations.OmegaOmega]
LO.refine [in hydras.OrdinalNotations.OmegaOmega]
LO.succ [in hydras.OrdinalNotations.OmegaOmega]
LO.succb [in hydras.OrdinalNotations.OmegaOmega]
LO.t [in hydras.OrdinalNotations.OmegaOmega]
LO.zero [in hydras.OrdinalNotations.OmegaOmega]
LT [in hydras.Epsilon0.T1]
lt [in hydras.Epsilon0.T1]
lt [in hydras.OrdinalNotations.ON_O]
lt [in hydras.Prelude.DecPreOrder]
lt [in hydras.OrdinalNotations.ON_mult]
lt [in hydras.OrdinalNotations.ON_plus]
lt [in hydras.OrdinalNotations.ON_Finite]
ltBool [in hydras.Ackermann.primRec]
LTFormula [in hydras.Ackermann.LNN2LNT]
lt_le_dec [in hydras.Epsilon0.T1]
lt_eq_lt_dec [in hydras.Epsilon0.T1]
lt_eq_lt_dec [in hydras.Prelude.Comparable]
lt_depth [in hydras.Ackermann.fol]
lt_ge_dec [in hydras.Gamma0.Gamma0]
lt_eq_lt_dec [in hydras.Gamma0.Gamma0]
lub [in hydras.Gamma0.Gamma0]
L_3_plus_omega [in hydras.OrdinalNotations.ON_Omega2]
L_omega_cube [in hydras.Epsilon0.Large_Sets]
L_omega_square_times [in hydras.Epsilon0.Large_Sets]
L_phi0_mult [in hydras.Epsilon0.Large_Sets]
L_omega_square [in hydras.Epsilon0.Large_Sets]
L_omega_mult [in hydras.Epsilon0.Large_Sets]
L_omega [in hydras.Epsilon0.Large_Sets]
L_fin [in hydras.Epsilon0.Large_Sets]
L_lim [in hydras.Epsilon0.Large_Sets]
L_succ [in hydras.Epsilon0.Large_Sets]
L_test [in hydras.Epsilon0.Large_Sets]
L_ [in hydras.Epsilon0.L_alpha]
l_std [in hydras.Hydra.Battle_length]
l_std [in gaia_hydras.GHydra]
L_spec [in gaia_hydras.GLarge_Sets]
L_3_plus_omega [in hydras.Epsilon0.E0]
L_spec [in gaia_hydras.GL_alpha]
L_ [in gaia_hydras.GL_alpha]
L_3_plus_omega [in hydras.Schutte.Addition]
l2hs [in hydras.Hydra.Hydra_Definitions]

M

m [in hydras.Hydra.Hydra_Termination]
M [in hydras.Hydra.BigBattle]
m [in gaia_hydras.GHydra]
majorized [in hydras.MoreAck.AckNotPR]
majorizedPR [in hydras.MoreAck.AckNotPR]
majorizedS [in hydras.MoreAck.AckNotPR]
majorizedSPR [in hydras.MoreAck.AckNotPR]
makeTrace [in hydras.Ackermann.codeSubFormula]
makeTraceForall [in hydras.Ackermann.codeSubFormula]
makeTraceImp [in hydras.Ackermann.codeSubFormula]
makeTraceNot [in hydras.Ackermann.codeSubFormula]
make_chain [in additions.AM]
make_chain [in additions.Euclidean_Chains]
Make.add [in hydras.rpo.list_set]
Make.add_without_red [in hydras.rpo.list_set]
Make.apply_subst [in hydras.rpo.term]
Make.build_list_of_SN_terms [in hydras.rpo.rpo]
Make.cardinal [in hydras.rpo.list_set]
Make.DecVar.A [in hydras.rpo.term]
Make.direct_subterm [in hydras.rpo.term]
Make.elt [in hydras.rpo.list_set]
Make.elt [in hydras.rpo.list_permut]
Make.empty [in hydras.rpo.list_set]
Make.eq_set [in hydras.rpo.list_set]
Make.eq_elt_dec [in hydras.rpo.list_set]
Make.eq_elt_dec [in hydras.rpo.list_permut]
Make.filter [in hydras.rpo.list_set]
Make.filter_aux [in hydras.rpo.list_set]
Make.inter [in hydras.rpo.list_set]
Make.is_a_pos [in hydras.rpo.term]
Make.list_permut [in hydras.rpo.list_permut]
Make.list_to_multiset [in hydras.rpo.list_permut]
Make.make_set [in hydras.rpo.list_set]
Make.map_subst [in hydras.rpo.term]
Make.mem [in hydras.rpo.list_set]
Make.o_size3 [in hydras.rpo.rpo]
Make.o_size2 [in hydras.rpo.rpo]
Make.o_size [in hydras.rpo.rpo]
Make.remove_not_common [in hydras.rpo.list_set]
Make.remove_red [in hydras.rpo.list_set]
Make.replace_at_pos_list [in hydras.rpo.term]
Make.replace_at_pos [in hydras.rpo.term]
Make.rpo_term [in hydras.rpo.rpo]
Make.rpo_rest [in hydras.rpo.rpo]
Make.singleton [in hydras.rpo.list_set]
Make.size [in hydras.rpo.term]
Make.size2 [in hydras.rpo.rpo]
Make.size3 [in hydras.rpo.rpo]
Make.subset [in hydras.rpo.list_set]
Make.substitution [in hydras.rpo.term]
Make.subst_comp [in hydras.rpo.term]
Make.subterm_at_pos [in hydras.rpo.term]
Make.symbol [in hydras.rpo.term]
Make.Term_eq_dec.eq_A_dec [in hydras.rpo.term]
Make.Term_eq_dec.A [in hydras.rpo.term]
Make.term_rec8 [in hydras.rpo.term]
Make.term_rec7 [in hydras.rpo.term]
Make.term_rec4 [in hydras.rpo.term]
Make.term_rec3 [in hydras.rpo.term]
Make.term_rec2 [in hydras.rpo.term]
Make.union [in hydras.rpo.list_set]
Make.variable [in hydras.rpo.term]
Make.well_formed_subst [in hydras.rpo.term]
Make.well_formed_list [in hydras.rpo.term]
Make.well_formed [in hydras.rpo.term]
Make.without_red [in hydras.rpo.list_set]
map_without_repetition [in hydras.rpo.more_list]
map12_without_repetition [in hydras.rpo.more_list]
mark [in hydras.Prelude.Sort_spec]
match2 [in hydras.Prelude.MoreVectors]
max [in hydras.Prelude.Comparable]
maximal_critical [in hydras.Schutte.Critical]
max_v [in hydras.Prelude.MoreVectors]
measure_lt [in hydras.OrdinalNotations.ON_Generic]
mem [in hydras.Ackermann.fol]
members [in hydras.solutions_exercises.OnCodeList]
members [in hydras.Schutte.Schutte_basics]
merge [in hydras.Prelude.Merge_Sort]
merge_rec [in hydras.Prelude.Merge_Sort]
merge_ind [in hydras.Prelude.Merge_Sort]
min [in hydras.Prelude.Comparable]
minimize [in Goedel.PRrepresentable]
minus [in hydras.Epsilon0.T1]
mlarge [in hydras.Epsilon0.Large_Sets]
mlarge [in gaia_hydras.GLarge_Sets]
mlargeS [in hydras.Epsilon0.Large_Sets]
mlargeS [in gaia_hydras.GLarge_Sets]
mod_eq [in additions.Monoid_instances]
MoreExamples.cst [in hydras.MoreAck.PrimRecExamples]
MoreExamples.cst0 [in hydras.MoreAck.PrimRecExamples]
MoreExamples.fact [in hydras.MoreAck.PrimRecExamples]
MoreExamples.mult [in hydras.MoreAck.PrimRecExamples]
MoreExamples.plus [in hydras.MoreAck.PrimRecExamples]
moser_lepper [in hydras.Gamma0.Gamma0]
ms [in hydras.Hydra.Hydra_Termination]
ms [in gaia_hydras.GHydra]
mults_squares [in additions.AM]
mult_fin_l [in hydras.OrdinalNotations.ON_Omega2]
mult_fin_r [in hydras.OrdinalNotations.ON_Omega2]
mult_mod [in additions.Monoid_instances]
mult_fin_r [in hydras.Schutte.Addition]
mult_Sn [in hydras.Schutte.Addition]
mul2 [in additions.Fib2]
my_pow [in additions.fib]
m2lfib [in additions.fib]
m2lmul [in additions.fib]
m2lmx [in additions.fib]
m2lpow [in additions.fib]
M2N [in additions.Monoid_instances]
M2_mult [in additions.Monoid_instances]
M2.Id2 [in additions.FirstSteps]
M2.Id2 [in additions.Naive]
M2.M2_mult [in additions.FirstSteps]
M2.M2_mult [in additions.Naive]
M2.power [in additions.Naive]
m3lfib [in additions.fib]
m3lid [in additions.fib]
m3lmul [in additions.fib]
m3lmx [in additions.fib]
m3lpow [in additions.fib]
m4lfib [in additions.fib]
m4lmul [in additions.fib]
m4lmx [in additions.fib]
m4lval [in additions.fib]
M7_3 [in additions.AM]

N

N [in hydras.Hydra.BigBattle]
naryFunc [in hydras.Ackermann.extEqualNat]
naryFunc [in hydras.Ackermann.model]
naryIf [in hydras.solutions_exercises.MinPR2]
naryRel [in hydras.Ackermann.extEqualNat]
naryRel [in hydras.Ackermann.model]
natModel [in hydras.Ackermann.PAconsistent]
natToTerm [in hydras.Ackermann.LNN]
natToTerm [in hydras.Ackermann.LNT]
natToTermLNN [in hydras.Ackermann.codeNatToTerm]
natToTermLNT [in hydras.Ackermann.codeNatToTerm]
nat_2_term [in hydras.Gamma0.Gamma0]
nbterms [in hydras.Gamma0.T2]
nb_occ [in hydras.rpo.more_list]
newVar [in hydras.Ackermann.folProp]
next [in hydras.Hydra.BigBattle]
next_step [in hydras.Hydra.Hydra_Lemmas]
next_round [in hydras.Hydra.Hydra_Lemmas]
next_round_dec [in hydras.Hydra.Hydra_Lemmas]
nf [in hydras.Epsilon0.T1]
nfb [in hydras.Gamma0.Gamma0]
nf_Acc [in hydras.Epsilon0.T1]
nf_rect [in hydras.Epsilon0.T1]
nf_b [in hydras.Epsilon0.T1]
NN [in hydras.Ackermann.NN]
nnHelp [in hydras.Ackermann.model]
NNnotations.LT [in hydras.Ackermann.LNN]
NNnotations.Plus [in hydras.Ackermann.LNN]
NNnotations.Succ [in hydras.Ackermann.LNN]
NNnotations.Times [in hydras.Ackermann.LNN]
NNnotations.Zero [in hydras.Ackermann.LNN]
nnTranslate [in hydras.Ackermann.model]
NN1 [in hydras.Ackermann.NN]
NN2 [in hydras.Ackermann.NN]
NN3 [in hydras.Ackermann.NN]
NN4 [in hydras.Ackermann.NN]
NN5 [in hydras.Ackermann.NN]
NN6 [in hydras.Ackermann.NN]
NN7 [in hydras.Ackermann.NN]
NN8 [in hydras.Ackermann.NN]
NN9 [in hydras.Ackermann.NN]
non_commutativity_of_plus [in hydras.OrdinalNotations.ON_Omega2]
normal [in hydras.Schutte.Ordering_Functions]
notRel [in hydras.Ackermann.primRec]
notZero [in hydras.Ackermann.primRec]
nVars [in hydras.Ackermann.folProof]
N_pow [in additions.Compatibility]
N_bpow [in additions.FirstSteps]
N_bpow [in additions.Pow_variant]
N_bpow [in additions.Pow]
N_mod.power [in additions.Naive]
N_mod.mult_mod [in additions.Naive]
N2pos [in additions.More_on_positive]

O

OK [in additions.AM]
OK [in additions.Euclidean_Chains]
omega_omega [in hydras.Epsilon0.T1]
omega_tower [in hydras.Epsilon0.T1]
omega_term [in hydras.Epsilon0.T1]
omega_ex2 [in hydras.Epsilon0.Large_Sets]
omega_ex1 [in hydras.Epsilon0.Large_Sets]
omega_square_thrice_eqn [in hydras.Epsilon0.Large_Sets]
omega_tower [in hydras.Schutte.AP]
omega_omega_1_3 [in hydras.Epsilon0.Large_Sets_Examples]
omega_omega_1_4 [in hydras.Epsilon0.Large_Sets_Examples]
Omega_limit_type [in hydras.Prelude.MoreOrders]
Omega_limit [in hydras.Prelude.MoreOrders]
omega_limit [in hydras.Schutte.Schutte_basics]
om12 [in gaia_hydras.onType]
om67 [in gaia_hydras.onType]
ONDef.Exports.tricho [in gaia_hydras.onType]
ONDef.on_struct [in gaia_hydras.onType]
onFiniteMixin [in gaia_hydras.onType]
onFiniteType [in gaia_hydras.onType]
onOmegaMixin [in gaia_hydras.onType]
onOmegaType [in gaia_hydras.onType]
ON_op_ok [in hydras.OrdinalNotations.ON_Generic]
ON_fun_ok [in hydras.OrdinalNotations.ON_Generic]
ON_cst_ok [in hydras.OrdinalNotations.ON_Generic]
ON_le [in hydras.OrdinalNotations.ON_Generic]
ON_lt [in hydras.OrdinalNotations.ON_Generic]
ON_compare [in hydras.OrdinalNotations.ON_Generic]
ON_t [in hydras.OrdinalNotations.ON_Generic]
OO.le [in hydras.OrdinalNotations.OmegaOmega]
OO.lt [in hydras.OrdinalNotations.OmegaOmega]
open [in hydras.Ackermann.PA]
oplus [in hydras.Epsilon0.Hessenberg]
oplus [in gaia_hydras.GHessenberg]
optimal [in additions.Addition_Chains]
optimal_generator [in additions.Addition_Chains]
ord [in hydras.Schutte.Ordering_Functions]
ordering_segment [in hydras.Schutte.Ordering_Functions]
orH [in hydras.Ackermann.fol]
orRel [in hydras.Ackermann.primRec]
o_length [in hydras.rpo.more_list]
o_finite_mult [in hydras.Epsilon0.Hessenberg]
o_36_of_42 [in gaia_hydras.ON_gfinite]
o_33_of_42 [in gaia_hydras.ON_gfinite]
o_finite_mult [in gaia_hydras.GHessenberg]
O3O [in hydras.OrdinalNotations.Example_3PlusOmega]

P

PA [in hydras.Prelude.DecPreOrder_Instances]
PA [in hydras.Ackermann.PA]
PairwiseEqual [in hydras.Ackermann.folLogic3]
parametric [in additions.Addition_Chains]
path [in hydras.Epsilon0.Paths]
pathS [in gaia_hydras.GPaths]
pathS [in hydras.Epsilon0.Paths]
path_tob [in gaia_hydras.GPaths]
path_to [in gaia_hydras.GPaths]
PA1 [in hydras.Ackermann.PA]
PA2 [in hydras.Ackermann.PA]
PA3 [in hydras.Ackermann.PA]
PA4 [in hydras.Ackermann.PA]
PA5 [in hydras.Ackermann.PA]
PA6 [in hydras.Ackermann.PA]
PA7 [in hydras.Ackermann.PA]
PB [in hydras.Prelude.DecPreOrder_Instances]
Permut.elt [in hydras.rpo.list_permut]
Permut.eq_elt_dec [in hydras.rpo.list_permut]
Permut.list_permut [in hydras.rpo.list_permut]
Permut.list_to_multiset [in hydras.rpo.list_permut]
phi [in hydras.Schutte.Critical]
phi [in hydras.Gamma0.Gamma0]
plus [in hydras.OrdinalNotations.ON_Omega2]
plus [in hydras.Gamma0.Gamma0]
plus [in hydras.Schutte.Addition]
Pos_pow [in additions.Compatibility]
Pos_bpow [in additions.FirstSteps]
Pos_bpow [in additions.Pow_variant]
Pos_bpow [in additions.Pow]
pos_eq_dec [in additions.More_on_positive]
power [in additions.FirstSteps]
power [in additions.Pow_variant]
power [in additions.Pow]
power_t [in additions.FirstSteps]
power_R [in additions.Addition_Chains]
pow_17 [in additions.Pow_variant]
pow_17 [in additions.Pow]
pow3 [in hydras.Ackermann.codeSubFormula]
pp [in hydras.Epsilon0.T1]
ppE0 [in gaia_hydras.T1Bridge]
pp_size [in hydras.Epsilon0.T1]
pp0 [in hydras.Epsilon0.T1]
PRcompose1 [in hydras.MoreAck.PrimRecExamples]
PRcorrect [in hydras.Ackermann.primRec]
pred [in hydras.Epsilon0.T1]
pred [in hydras.Gamma0.T2]
preorder_equiv [in hydras.Prelude.DecPreOrder]
primRecFormula [in Goedel.PRrepresentable]
primRecPiFormulaHelp [in Goedel.PRrepresentable]
primRecsFormula [in Goedel.PRrepresentable]
primRecSigmaFormula [in Goedel.PRrepresentable]
primRecSigmaFormulaHelp [in Goedel.PRrepresentable]
PrimRecs_PrimRec_ind [in hydras.Ackermann.primRec]
PrimRecs_PrimRec_rec [in hydras.Ackermann.primRec]
PrimRec_PrimRecs_ind [in hydras.Ackermann.primRec]
PrimRec_PrimRecs_rec [in hydras.Ackermann.primRec]
progressive [in hydras.Schutte.Schutte_basics]
projectionList [in hydras.Ackermann.primRec]
projectionListPR [in hydras.Ackermann.primRec]
projFormula [in Goedel.PRrepresentable]
proper_statement [in additions.Euclidean_Chains]
proper_segment_of [in hydras.Schutte.Ordering_Functions]
proper_segment [in hydras.Schutte.Ordering_Functions]
psi [in hydras.Gamma0.T2]
psi_term [in hydras.Gamma0.T2]
ptwise_le [in hydras.Prelude.MoreLists]
P87 [in additions.Addition_Chains]

R

reachable [in hydras.Hydra.BigBattle]
reassoc [in hydras.Epsilon0.T1]
refinesPred [in gaia_hydras.T1Bridge]
refinesRel [in gaia_hydras.T1Bridge]
refines0 [in gaia_hydras.T1Bridge]
refines1 [in gaia_hydras.T1Bridge]
refines2 [in gaia_hydras.T1Bridge]
rel_inv [in hydras.Schutte.PartialFun]
rel_inj [in hydras.Schutte.PartialFun]
rel_onto [in hydras.Schutte.PartialFun]
rel_functional [in hydras.Schutte.PartialFun]
rel_codomain [in hydras.Schutte.PartialFun]
rel_domain [in hydras.Schutte.PartialFun]
rel_enumerates [in hydras.Schutte.Countable]
rel_numbers [in hydras.Schutte.Countable]
remove [in hydras.rpo.more_list]
remove_list [in hydras.rpo.more_list]
rep [in hydras.OrdinalNotations.ON_Generic]
ReplaceFormulaTerm [in hydras.Ackermann.codeSubFormula]
ReplaceTermsTerm [in hydras.Ackermann.codeSubFormula]
ReplaceTermTerm [in hydras.Ackermann.codeSubFormula]
ReplaceTermTermsTerm [in hydras.Ackermann.codeSubFormula]
Representable [in Goedel.PRrepresentable]
Representable [in hydras.Ackermann.expressible]
RepresentableAlternate [in Goedel.PRrepresentable]
RepresentableHalf1 [in hydras.Ackermann.expressible]
RepresentableHalf2 [in hydras.Ackermann.expressible]
RepresentableHelp [in Goedel.PRrepresentable]
RepresentableHelp [in hydras.Ackermann.expressible]
RepresentablesHelp [in Goedel.PRrepresentable]
Representable_ext [in Goedel.PRrepresentable]
RepresentsInSelf [in Goedel.rosser]
restrict [in hydras.Prelude.Restriction]
restrict [in gaia_hydras.onType]
restrict [in gaia_hydras.nfwfgaia]
restrict_build [in hydras.Prelude.Restriction]
round [in hydras.Hydra.Hydra_Definitions]
round_t [in hydras.Hydra.Hydra_Definitions]
round_spec [in hydras.Hydra.Hydra_Definitions]
round_star [in hydras.Hydra.Hydra_Definitions]
round_plus [in hydras.Hydra.Hydra_Definitions]
round_n [in hydras.Hydra.Hydra_Definitions]
R_nat_elaguee [in hydras.Schutte.GRelations]
R_inv [in hydras.Schutte.GRelations]
R1 [in hydras.Schutte.Ordering_Functions]
r2i [in hydras.Schutte.PartialFun]
R2_ind2 [in hydras.Hydra.Hydra_Lemmas]

S

s [in hydras.solutions_exercises.Limit_Infinity]
s [in hydras.solutions_exercises.T1_ltNotWf]
segment [in hydras.Schutte.Ordering_Functions]
Sentence [in hydras.Ackermann.LNN]
Sentence [in hydras.Ackermann.LNT]
Sentence [in hydras.Ackermann.folProp]
seq [in hydras.solutions_exercises.MultisetWf]
seq_mono [in hydras.Schutte.Schutte_basics]
seq_range [in hydras.Schutte.Countable]
set_eq [in hydras.Schutte.Schutte_basics]
shift [in hydras.Prelude.MoreLists]
signature_measure [in additions.Euclidean_Chains]
signature_exponent [in additions.Euclidean_Chains]
simple_last [in hydras.Prelude.MoreLists]
slowexp [in additions.fib]
small_h [in hydras.Hydra.Epsilon0_Needed_Generic]
some [in hydras.Schutte.MoreEpsilonIota]
some_pos' [in gaia_hydras.T1Choice]
some_pos [in gaia_hydras.T1Choice]
some_pos [in hydras.Schutte.MoreEpsilonIota]
sort [in hydras.Prelude.Sort_spec]
sorted [in hydras.Schutte.CNF]
sort_spec [in hydras.Prelude.Sort_spec]
sort_correct [in hydras.Prelude.Sort_spec]
sort_rel [in hydras.Prelude.Sort_spec]
sort_fun_t [in hydras.Prelude.Sort_spec]
split_list [in hydras.rpo.more_list]
sp_merge_sort [in hydras.Prelude.Merge_Sort]
stable [in hydras.Prelude.Sort_spec]
stable_test [in hydras.Prelude.Sort_spec]
stable_merge_sort [in hydras.Prelude.Merge_Sort]
stack [in additions.AM]
standard_gnaw [in gaia_hydras.GPaths]
standard_path [in gaia_hydras.GPaths]
standard_path [in hydras.Epsilon0.Paths]
standard_pathS [in hydras.Epsilon0.Paths]
standard_gnaw [in hydras.Epsilon0.Paths]
strict_lub_maj [in hydras.Epsilon0.T1]
strict_lub_lub [in hydras.Epsilon0.T1]
strict_lub [in hydras.Epsilon0.T1]
strict_mono [in hydras.Prelude.Iterates]
strict_mono [in gaia_hydras.T1Bridge]
strongly_critical [in hydras.Schutte.Critical]
subAllFormula [in hydras.Ackermann.subAll]
subAllTerm [in hydras.Ackermann.subAll]
subAllTerms [in hydras.Ackermann.subAll]
SubON_same_op [in hydras.OrdinalNotations.ON_Generic]
SubON_same_fun [in hydras.OrdinalNotations.ON_Generic]
SubON_same_cst [in hydras.OrdinalNotations.ON_Generic]
subStar [in Goedel.fixPoint]
substF [in hydras.Ackermann.folProp]
substituteFormulaForall [in hydras.Ackermann.folProp]
substituteFormulaHelp [in hydras.Ackermann.folProp]
substituteFormulaImp [in hydras.Ackermann.folProp]
substituteFormulaNot [in hydras.Ackermann.folProp]
substT [in hydras.Ackermann.folProp]
substTs [in hydras.Ackermann.folProp]
succ [in hydras.Epsilon0.T1]
succ [in hydras.OrdinalNotations.ON_Omega2]
succ [in hydras.Gamma0.T2]
succ [in hydras.OrdinalNotations.ON_Omega_plus_omega]
succ [in hydras.Schutte.Schutte_basics]
succb [in hydras.OrdinalNotations.ON_Omega2]
succb [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Successor [in hydras.Prelude.MoreOrders]
succFormula [in Goedel.PRrepresentable]
succ_spec [in hydras.Schutte.Schutte_basics]
sumToN [in hydras.Ackermann.cPair]
sup [in hydras.Schutte.Schutte_basics]
sup_spec [in hydras.Schutte.Schutte_basics]
switchPR [in hydras.Ackermann.primRec]
SysPrf [in hydras.Ackermann.folProof]
SysPrf [in hydras.Ackermann.LNN]
SysPrf [in hydras.Ackermann.LNT]
System [in hydras.Ackermann.LNN]
System [in hydras.Ackermann.LNT]
System [in hydras.Ackermann.fol]
S.cardinal [in hydras.rpo.list_set]
S.elt [in hydras.rpo.list_set]
S.eq_elt_dec [in hydras.rpo.list_set]
S.subset [in hydras.rpo.list_set]
S.without_red [in hydras.rpo.list_set]
S2_ind2 [in hydras.Hydra.Hydra_Lemmas]

T

t [in hydras.OrdinalNotations.ON_Omega2]
t [in hydras.OrdinalNotations.ON_O]
t [in hydras.OrdinalNotations.ON_Omega_plus_omega]
t [in hydras.solutions_exercises.MultisetWf]
t [in hydras.OrdinalNotations.ON_mult]
t [in hydras.OrdinalNotations.ON_plus]
t [in hydras.OrdinalNotations.ON_Finite]
ten [in hydras.Epsilon0.T1]
Term [in hydras.Ackermann.LNN]
Term [in hydras.Ackermann.LNT]
terminates [in hydras.Prelude.WfVariant]
Termination [in hydras.Hydra.Hydra_Definitions]
Terms [in hydras.Ackermann.LNN]
Terms [in hydras.Ackermann.LNT]
Terms_Term_rec_full [in hydras.Ackermann.fol]
Terms_Term_rec [in hydras.Ackermann.fol]
Terms_Term_ind [in hydras.Ackermann.fol]
Term_Terms_rec_full [in hydras.Ackermann.fol]
Term_Terms_rec [in hydras.Ackermann.fol]
Term_Terms_ind [in hydras.Ackermann.fol]
Term.apply_subst [in hydras.rpo.term]
Term.direct_subterm [in hydras.rpo.term]
Term.is_a_pos [in hydras.rpo.term]
Term.map_subst [in hydras.rpo.term]
Term.replace_at_pos_list [in hydras.rpo.term]
Term.replace_at_pos [in hydras.rpo.term]
Term.size [in hydras.rpo.term]
Term.substitution [in hydras.rpo.term]
Term.subst_comp [in hydras.rpo.term]
Term.subterm_at_pos [in hydras.rpo.term]
Term.symbol [in hydras.rpo.term]
Term.variable [in hydras.rpo.term]
Term.well_formed_subst [in hydras.rpo.term]
Term.well_formed_list [in hydras.rpo.term]
Term.well_formed [in hydras.rpo.term]
test [in hydras.Hydra.BigBattle]
the [in hydras.Schutte.MoreEpsilonIota]
the_least [in hydras.Schutte.Well_Orders]
the_exponent [in additions.Addition_Chains]
the_exponent_nat [in additions.Addition_Chains]
the_ordering_segment [in hydras.Schutte.Ordering_Functions]
tower2 [in hydras.solutions_exercises.MorePRExamples]
tower2_alt [in hydras.solutions_exercises.MorePRExamples]
Toy.Adds [in hydras.MoreAck.FolExamples]
Toy.arityF [in hydras.MoreAck.FolExamples]
Toy.arityR [in hydras.MoreAck.FolExamples]
Toy.F1 [in hydras.MoreAck.FolExamples]
Toy.F2 [in hydras.MoreAck.FolExamples]
Toy.F3 [in hydras.MoreAck.FolExamples]
Toy.F4 [in hydras.MoreAck.FolExamples]
Toy.F5 [in hydras.MoreAck.FolExamples]
Toy.F6 [in hydras.MoreAck.FolExamples]
Toy.L [in hydras.MoreAck.FolExamples]
Toy.Ldec [in hydras.MoreAck.FolExamples]
Toy.Peirce [in hydras.MoreAck.FolExamples]
Toy.PrfContrex7 [in hydras.MoreAck.FolExamples]
Toy.PrfContrex9 [in hydras.MoreAck.FolExamples]
Toy.PrfEx1 [in hydras.MoreAck.FolExamples]
Toy.PrfEx10 [in hydras.MoreAck.FolExamples]
Toy.PrfEx11 [in hydras.MoreAck.FolExamples]
Toy.PrfEx2' [in hydras.MoreAck.FolExamples]
Toy.PrfEx3 [in hydras.MoreAck.FolExamples]
Toy.PrfEx4 [in hydras.MoreAck.FolExamples]
Toy.PrfEx5 [in hydras.MoreAck.FolExamples]
Toy.PrfEx6 [in hydras.MoreAck.FolExamples]
Toy.PrfEx8 [in hydras.MoreAck.FolExamples]
Toy.PrfEx9 [in hydras.MoreAck.FolExamples]
Toy.SysPrfEx2 [in hydras.MoreAck.FolExamples]
Toy.t0 [in hydras.MoreAck.FolExamples]
Toy.t1 [in hydras.MoreAck.FolExamples]
Toy.t2 [in hydras.MoreAck.FolExamples]
Toy.t3 [in hydras.MoreAck.FolExamples]
Toy.t4 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm8 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm7 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm6 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm5 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm4 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm3 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm2 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm1 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm0 [in hydras.MoreAck.FolExamples]
Toy.Unnamed_thm [in hydras.MoreAck.FolExamples]
Tprf2T'prf [in Goedel.goedel2]
trace [in hydras.Hydra.Hydra_Definitions]
trace_mult [in additions.Trace_exercise]
trace_compare [in additions.Trace_exercise]
transfinite_recursor [in hydras.Epsilon0.T1]
transfinite_recursor_lt [in hydras.Epsilon0.T1]
transfinite_induction_Q [in hydras.Gamma0.Gamma0]
transfinite_induction [in hydras.Gamma0.Gamma0]
transition [in gaia_hydras.GPaths]
transition [in hydras.Epsilon0.Paths]
transitionb [in gaia_hydras.GPaths]
transition_S [in hydras.Epsilon0.Paths]
translateLT [in hydras.Ackermann.LNN2LNT]
Tree2T1 [in gaia_hydras.T1Choice]
two [in additions.BinaryStrat]
T' [in Goedel.rosserPA]
T' [in Goedel.goedel2]
T1add [in hydras.Epsilon0.T1]
T1Choice [in gaia_hydras.T1Choice]
T1F_ [in gaia_hydras.GF_alpha]
T1is_succ [in hydras.Epsilon0.T1]
T1leOrderMixin [in gaia_hydras.T1Choice]
T1limit [in hydras.Epsilon0.T1]
T1max [in gaia_hydras.T1Choice]
T1min [in gaia_hydras.T1Choice]
T1mixin [in gaia_hydras.T1Choice]
T1mul [in hydras.Epsilon0.T1]
T1nat [in hydras.Epsilon0.T1]
T1orderType [in gaia_hydras.T1Choice]
T1pp [in gaia_hydras.T1Bridge]
T1toH [in gaia_hydras.GHydra]
T1_eq_dec [in hydras.Epsilon0.T1]
T1_le_Mixin [in gaia_hydras.T1Choice]
T1_to_T2 [in hydras.Gamma0.T2]
t1_0 [in hydras.MoreAck.LNN_Examples]
T1_to_T2_R [in hydras.Gamma0.Gamma0]
t1_0 [in hydras.MoreAck.FolExamples]
T12Tree [in gaia_hydras.T1Choice]
t2_length_aux [in hydras.Gamma0.T2]
t2_length [in hydras.Gamma0.T2]
T2_size [in hydras.Gamma0.Gamma0]
T2_2_term [in hydras.Gamma0.Gamma0]

U

Unbounded [in hydras.Schutte.Schutte_basics]
Unnamed_thm9 [in gaia_hydras.T1Choice]
Unnamed_thm8 [in gaia_hydras.T1Choice]
Unnamed_thm7 [in gaia_hydras.T1Choice]
Unnamed_thm6 [in gaia_hydras.T1Choice]
Unnamed_thm5 [in gaia_hydras.T1Choice]
Unnamed_thm5 [in gaia_hydras.T1Choice]
Unnamed_thm4 [in gaia_hydras.T1Choice]
Unnamed_thm3 [in gaia_hydras.T1Choice]
Unnamed_thm2 [in gaia_hydras.T1Choice]
Unnamed_thm1 [in gaia_hydras.T1Choice]
Unnamed_thm0 [in gaia_hydras.T1Choice]
Unnamed_thm [in gaia_hydras.T1Choice]
Unnamed_thm [in hydras.Prelude.More_Arith]
Unnamed_thm [in hydras.MoreAck.expressibleExamples]
Unnamed_thm0 [in hydras.MoreAck.LNN_Examples]
Unnamed_thm [in hydras.MoreAck.LNN_Examples]
Unnamed_thm [in additions.Monoid_def]
Unnamed_thm0 [in hydras.Ackermann.fol]
Unnamed_thm [in hydras.Ackermann.fol]
Unnamed_thm [in hydras.Epsilon0.Canon]
Unnamed_thm [in hydras.OrdinalNotations.ON_Finite]
Unnamed_thm1 [in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm0 [in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm [in hydras.Prelude.LibHyps_Experiments]
Unnamed_thm1 [in hydras.solutions_exercises.F_3]
Unnamed_thm0 [in hydras.solutions_exercises.F_3]
Unnamed_thm [in hydras.solutions_exercises.F_3]
Unnamed_thm [in additions.Addition_Chains]
Unnamed_thm [in hydras.Epsilon0.Hprime]
Unnamed_thm [in hydras.MoreAck.FolExamples]
Unnamed_thm [in hydras.MoreAck.FolExamples]
Unnamed_thm2 [in hydras.MoreAck.PrimRecExamples]
Unnamed_thm1 [in hydras.MoreAck.PrimRecExamples]
Unnamed_thm0 [in hydras.MoreAck.PrimRecExamples]
Unnamed_thm [in hydras.MoreAck.PrimRecExamples]
unshift [in hydras.Prelude.MoreLists]
updateValue [in hydras.Ackermann.model]
upper_bound [in hydras.Schutte.Lub]
Usual.beta [in Goedel.PRrepresentable]

V

varFormula [in hydras.Ackermann.codeSubFormula]
Vars.var [in hydras.Gamma0.Gamma0]
vector_nth [in hydras.Prelude.MoreVectors]
vector_triple_rect [in hydras.Prelude.MoreVectors]
vector_double_rect [in hydras.Prelude.MoreVectors]
vect_from_fun [in hydras.Prelude.MoreVectors]
Vec2_proj [in hydras.Prelude.MoreVectors]
Vid [in hydras.Prelude.MoreVectors]

W

wConsistent [in hydras.Ackermann.wConsistent]
wellFormedFormula [in hydras.Ackermann.wellFormed]
wellFormedTerm [in hydras.Ackermann.wellFormed]
wellFormedTerms [in hydras.Ackermann.wellFormed]
wellFormedTermTerms [in hydras.Ackermann.wellFormed]
well_founded_restriction_rect [in hydras.Prelude.Restriction]
well_founded_restriction [in hydras.Prelude.Restriction]
well_founded_P [in gaia_hydras.nfwfgaia]
Wfsum.extension [in gaia_hydras.nfwfgaia]
Wfsum.f [in gaia_hydras.nfwfgaia]
Wfsum.f_spec [in gaia_hydras.nfwfgaia]
Wfsum.f1 [in gaia_hydras.nfwfgaia]
Wfsum.f2 [in gaia_hydras.nfwfgaia]
Wfsum.psum [in gaia_hydras.nfwfgaia]
Wf_ex3.f [in gaia_hydras.nfwfgaia]
Wf_ex3.f2 [in gaia_hydras.nfwfgaia]
Wf_ex3.f1 [in gaia_hydras.nfwfgaia]
Wf_ex3.f_spec [in gaia_hydras.nfwfgaia]
Wf_ex3.lte [in gaia_hydras.nfwfgaia]
Wf_ex.f [in gaia_hydras.nfwfgaia]
Wf_ex.f2 [in gaia_hydras.nfwfgaia]
Wf_ex.f1 [in gaia_hydras.nfwfgaia]
Wf_ex.f_spec [in gaia_hydras.nfwfgaia]
wInconsistent [in hydras.Ackermann.wConsistent]

X

xPair [in hydras.Ackermann.cPair]

Z

zero [in hydras.OrdinalNotations.ON_Omega2]
zero [in hydras.Schutte.Schutte_basics]
zeroFormula [in Goedel.PRrepresentable]
ZeroLimitSucc_dec [in hydras.OrdinalNotations.ON_Generic]
zero_limit_succ_dec [in hydras.Epsilon0.T1]
zero_limit_succ_dec [in hydras.OrdinalNotations.ON_Omega2]
Zero_limit_succ_dec [in hydras.OrdinalNotations.ON_Omega2]
Zero_limit_succ_dec [in hydras.OrdinalNotations.ON_Omega_plus_omega]
Zero_limit_succ_dec [in hydras.OrdinalNotations.ON_Finite]
Zero_limit_succ_dec [in hydras.Epsilon0.E0]
Zero_Limit_Succ_dec [in hydras.Epsilon0.E0]
Zero_limit_succ_dec [in hydras.OrdinalNotations.ON_Omega]
Zfibt [in additions.fib]
ZtoR [in additions.fib]
Z_pow [in additions.Compatibility]
Z.power [in additions.Naive]

_

_phi0 [in hydras.Schutte.AP]
_omega [in hydras.Schutte.Schutte_basics]
_f [in hydras.Schutte.Ordering_Functions]
_A [in hydras.Schutte.Ordering_Functions]

other

α [in gaia_hydras.HydraGaia_Examples]
β [in gaia_hydras.HydraGaia_Examples]

---

Record Index

A

Abelian_Monoid [in additions.Monoid_def]
Abelian_EMonoid [in additions.Monoid_def]
Assoc [in hydras.Prelude.STDPP_compat]

B

Bad3.Fchain_proper [in additions.Euclidean_Chains]
Battle [in hydras.Hydra.Hydra_Definitions]
BoundedVariant [in hydras.Hydra.Hydra_Definitions]

C

Comparable [in hydras.Prelude.Comparable]
Compare [in hydras.Prelude.Comparable]

D

Decision [in hydras.Prelude.STDPP_compat]

E

EMonoid [in additions.Monoid_def]
Equiv [in additions.Monoid_def]
E0 [in gaia_hydras.T1Bridge]
E0 [in hydras.Epsilon0.E0]

F

Fchain_proper [in additions.Euclidean_Chains]
Fkont_proper [in additions.Euclidean_Chains]

G

G0.G0 [in hydras.Gamma0.Gamma0]

H

Hvariant [in hydras.Hydra.Hydra_Definitions]

I

InH [in hydras.Schutte.MoreEpsilonIota]
isPR [in hydras.Ackermann.primRec]
isPRrel [in hydras.Ackermann.primRec]

K

Kchain_proper [in additions.Euclidean_Chains]

L

Language [in hydras.Ackermann.fol]
Lcode [in hydras.Ackermann.code]

M

Make.SN_term [in hydras.rpo.rpo]
Make.t [in hydras.rpo.list_set]
Model [in hydras.Ackermann.model]
Monoid [in additions.Monoid_def]
Mult_op [in additions.Monoid_def]
M2 [in additions.Monoid_instances]
M2.t [in additions.FirstSteps]
M2.t [in additions.Naive]

O

ON [in hydras.OrdinalNotations.ON_Generic]
ONDef.mixin_of [in gaia_hydras.onType]
ONDef.pack_type [in gaia_hydras.onType]
ON_correct [in hydras.OrdinalNotations.ON_Generic]
ON_Iso [in hydras.OrdinalNotations.ON_Generic]
OO.OO [in hydras.OrdinalNotations.OmegaOmega]
ordering_function [in hydras.Schutte.Ordering_Functions]

P

P [in hydras.Epsilon0.F_alpha]
P [in hydras.Epsilon0.Hprime]

Q

Q [in hydras.Epsilon0.F_alpha]

R

RelDecision [in hydras.Prelude.STDPP_compat]

S

Semibundled.TotalDec [in hydras.Prelude.DecPreOrder]
Semibundled.TotalDecPreOrder [in hydras.Prelude.DecPreOrder]
state [in hydras.Hydra.BigBattle]
Strategy [in additions.Strategies]
SubON [in hydras.OrdinalNotations.ON_Generic]
S.t [in hydras.rpo.list_set]

T

Total [in hydras.Prelude.DecPreOrder]
TotalPreOrder [in hydras.Prelude.DecPreOrder]

W

WfVariant [in hydras.Prelude.WfVariant]
WO [in hydras.Schutte.Well_Orders]

---

Global Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(28514 entries)

Notation Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(182 entries)

Binder Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(20434 entries)

Module Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(94 entries)

Variable Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(764 entries)

Library Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(191 entries)

Lemma Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(3916 entries)

Constructor Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(281 entries)

Axiom Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(52 entries)

Inductive Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(119 entries)

Projection Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(110 entries)

Section Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(284 entries)

Instance Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(366 entries)

Abbreviation Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(182 entries)

Definition Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(1487 entries)

Record Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

_

other

(52 entries)

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