Proposition le_dcpo_specialization {x y : X} (p : x ⊑ y) : x ⊑s y. Proof. intros P HP Px. exact (is_scott_open_upper_set HP Px p). Qed.
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.Core.ScottTopology. Require Import UniMath.OrderTheory.DCPOs.Basis.Continuous.