proposition: Lemma lt_beta_cons : forall alpha beta n gamma, beta < cons alpha beta n gamma.
proof: Proof. intros;eapply lt_le_trans. 2:eapply psi_le_cons. apply lt_beta_psi. 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