Definition dcpo_struct_lub {X : hSet} (DX : dcpo_struct X) {I : UU} (f : I → X) (Hf : is_directed DX f) : lub DX f := pr2 DX I f Hf.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions. Require Import UniMath.OrderTheory.Posets.PointedPosets. Require Import UniMath.OrderTheory.DCPOs.Core.DirectedSets.