proposition: Lemma round_n_inv i h h' : round_n i h h' -> R1 h h' \/ R2 i h h'.
proof: Proof. destruct 1;auto. Qed.
imports: Coq(Arith Lia List Relation_Operators Operators_Properties Peano_dec Wellfounded.Inverse_Image Wellfounded.Inclusion) hydras(More_Arith Epsilon0 Hessenberg Simple_LexProd MoreLibHyps)