proposition: Lemma add_r_0 : forall h: Hydra, add_r h 0 = h.
proof: Proof. now destruct h. 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)