proposition: Lemma psi_lt_epsilon0 : forall a b, [a, b] < epsilon0 -> a = zero /\ b < epsilon0.
proof: Proof. intros a b H. inversion H using lt_01. split. apply lt_one_inv;auto with T2. compute;auto with T2. inversion 1. inversion 2. inversion 1. inversion 1. 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