Library gaia_hydras.HydraGaia_Examples

From mathcomp Require Import all_ssreflect zify.

From Coq Require Import Logic.Eqdep_dec.
From hydras Require Import DecPreOrder ON_Generic.
From hydras Require Import T1 E0 Hessenberg.
From gaia Require Export ssete9.

From gaia_hydras Require Import T1Bridge GCanon GHessenberg
  GLarge_Sets.
Set Implicit Arguments.

Check \F 42.



Example α : T1 :=
 T1omega + phi0 T1omega × \F 3 + phi0 (\F 5) × \F 4 + T1omega × T1omega.

Example β : T1 := phi0 (phi0 (\F 2)).






Hessenberg's sum

Print oplus.



Check T1lt (\F 42) T1omega.

Check (\F 42 < T1omega)%ca.

Check \F 42 < T1omega.

Check T1.lt (T1.T1nat 42) T1.T1omega.

Check T1.lt (\F 42)%t1 T1.T1omega.