proposition: Theorem lt_trans : forall a b, a < b -> forall c, b < c -> a < c.
proof: Proof. induction 1. inversion 1; auto with T1. inversion_clear 1; auto with T1. inversion_clear 1; eauto with T1 arith. inversion_clear 1; auto with T1. Qed.
imports: Arith Omega Compare_dec Relations Wellfounded Tools More_nat Wf_nat AccP not_decreasing ArithRing term rpo List