Proposition isaprop_is_scott_continuous {X Y : hSet} (DX : dcpo_struct X) (DY : dcpo_struct Y) (f : X → Y) : isaprop (is_scott_continuous DX DY f). Proof. use isapropdirprod. - apply isaprop_is_monotone. - apply propproperty. Qed.
Require Import UniMath.Foundations.All. 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. Require Import UniMath.OrderTheory.DCPOs.Core.Basics. Require Import UniMath.OrderTheory.DCPOs.Core.ScottTopology. Require Import UniMath.OrderTheory.DCPOs.Core.IntrinsicApartness.