proposition: Lemma succ_not_zero : forall alpha, succ alpha <> zero.
proof: Proof. destruct alpha. - discriminate. - cbn; destruct alpha1; discriminate. 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)