Theorem plus_permute2 : forall n m p:nat, n + m + p = n + p + m.Your are not allowed to use sophisticated tactics for arithmetic in this exercise. You may use rewrite, pattern, and reflexivity, as well as the following theorems of the Arith library :
plus_comm : forall n m:nat, n + m = m + n plus_assoc_r : forall n m p:nat, n + m + p = n + (m + p)