proposition: Theorem lt_le_trans : forall a b c, a < b -> b <= c -> a < c.
proof: Proof. destruct 2. subst b;auto. eapply lt_trans;eauto. Qed.
imports: Arith Omega Compare_dec Relations Wellfounded Tools More_nat Wf_nat AccP not_decreasing ArithRing term rpo List