proposition: Theorem zero_le : forall a, leq lt zero a.
proof: Proof. intro a; destruct a. - now right. - now left. 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)