proposition: Lemma compare_lt_iff a b : compare a b = Lt <-> lt a b.
proof: Proof. split. - apply compare_lt_impl. - trivial. 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)