proposition: Lemma not_zero_gt_0 (alpha:T1) : alpha <> zero -> lt zero alpha.
proof: Proof. destruct alpha. - now destruct 1. - auto with T1. 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)