proposition: Lemma nat_lt_psi : forall (n:nat) a b , rpo (nat_2_term n) (Term ord_psi (a::b::nil)).
proof: Proof. induction n;simpl. constructor 2. simpl; trivial. destruct 1. constructor 2. simpl; trivial. inversion_clear 1. subst s';apply IHn. case H0. 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