proposition: Lemma lt_cons_omega_inv : forall alpha beta n gamma, gcons alpha beta n gamma t2< omega -> nf (gcons alpha beta n gamma) -> alpha = zero /\ beta = zero /\ gamma = zero.
proof: Proof. inversion_clear 1; lt_clean. - replace beta with zero. + inversion 1; lt_clean;auto with T2. inversion H5; lt_clean. + inversion H0;lt_clean;auto with T2. - inversion H1; lt_clean;auto with T2. Qed.
imports: Coq(Arith List Lia Compare_dec Relations Wellfounded RelationClasses) hydras(Epsilon0) hydras(More_Arith Restriction) hydras(ON_Generic) hydras(rpo.term rpo.rpo) hydras(T2) hydras(Compat815)