proposition: Theorem lt_trans : forall t1 t2 t3, t1 t2< t2 -> t2 t2< t3 -> t1 t2< t3.
proof: Proof. intros; apply lt_trans0 with (S (t2_length t1 + t2_length t2 + t2_length t3)) t2; auto with T2 arith. 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)