proposition: Theorem lt_le_trans : forall alpha beta gamma, alpha < beta -> beta <= gamma -> alpha < gamma.
proof: Proof. destruct 2. subst beta;auto with T2. 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