proposition: Lemma head_no_round_n : forall i h, ~ round_n i head h.
proof: Proof. intros i h H; destruct H. - inversion H. inversion H1. - inversion H. + inversion H1. + inversion H1. 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)