proposition: Lemma Lt_trans alpha beta gamma : alpha o< beta -> beta o< gamma -> alpha o< gamma.
proof: Proof. destruct alpha, beta, gamma; simpl. unfold lt. simpl. intros; eauto with T1. eapply T1.LT_trans; eauto. Qed.
imports: Coq(Arith Max Bool Lia Compare_dec Relations Ensembles ArithRing Wellfounded Operators_Properties Logic.Eqdep_dec) hydras(Prelude.More_Arith Prelude.Restriction Prelude.DecPreOrder ON_Generic OrdNotations)