proposition: Lemma cons_def : forall a n b, nf(cons a n b) -> cons a n b = T1omega ^ a * FS n + b.
proof: Proof. intros; rewrite <- omega_term_plus_rw; auto. - rewrite omega_term_def; auto. eapply nf_inv1;eauto. Qed.
imports: Coq(Arith Max Bool Lia Compare_dec Relations Ensembles Wellfounded Bool RelationClasses Operators_Properties ArithRing Logic.Eqdep_dec) hydras(More_Arith Restriction DecPreOrder) hydras(OrdNotations)