proposition: Theorem le_lt_trans alpha beta gamma: alpha t2<= beta -> beta t2< gamma -> alpha t2< gamma.
proof: Proof. destruct 1. - subst alpha;auto with T2. - intros; eapply lt_trans;eauto with T2. Qed.
imports: Coq(Arith List Lia Compare_dec Relations Wellfounded RelationClasses) hydras(Epsilon0) hydras(More_Arith Restriction) hydras(ON_Generic) hydras(rpo.term rpo.rpo) hydras(T2) hydras(Compat815)