Definition set_of_scott_open_set (D : dcpo) : hSet. Proof. use make_hSet. - exact (scott_open_set D). - apply isaset_scott_open_set. Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.DCPOs.Core.DirectedSets. Require Import UniMath.OrderTheory.DCPOs.Core.Basics. Require Import UniMath.OrderTheory.DCPOs.Core.WayBelow. Require Import UniMath.OrderTheory.DCPOs.Basis.Continuous.