fact: Definition directed_set_is_directed {X : hSet} {PX : PartialOrder X} (D : directed_set PX) : is_directed PX D := pr22 D.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions