fact: Definition lt_to_nleq {P : Poset} {x y : P} : x < y ⇒ ¬ (y ≤ x).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo