fact: Definition lt_eq_lt_dec : forall alpha beta : T1, {lt alpha beta} + {alpha = beta} + {lt beta alpha}.
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)