proposition: Theorem le_lt_trans : forall alpha beta gamma, alpha <= beta -> beta < gamma -> alpha < gamma.
proof: Proof. destruct 1. subst alpha;auto with T2. intros; eapply transitivity;eauto with T2. Qed.
imports: EPSILON0 Arith List Omega Compare_dec Relations Wellfounded Max Tools More_nat AccP not_decreasing EPSILON0 More_nat Gamma0_prelude Gamma0_length term rpo