fact: Definition directed_set_map {X : hSet} {PX : PartialOrder X} (D : directed_set PX) : directed_set_dom D → X := pr12 D.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions