fact: Definition directed_complete_poset {X : hSet} (PX : PartialOrder X) : UU := ∏ (I : UU) (f : I → X), is_directed PX f → lub PX f.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets