proposition: Lemma standard_path_compose j beta k gamma : standard_path (S j) beta k gamma -> forall i alpha, standard_path i alpha j beta-> standard_path i alpha k gamma.
proof: Proof. induction 2. - intros; subst;constructor 2; auto. - constructor 2; auto. Qed.
imports: hydras(DecPreOrder Canon MoreLists First_toggle OrdNotations) Coq(Lia)