Definition comp_strict_scott_continuous_map {X Y Z : dcppo} (f : strict_scott_continuous_map X Y) (g : strict_scott_continuous_map Y Z) : strict_scott_continuous_map X Z := (λ x, g(f x)) ,, comp_is_strict_scott_continuous (pr2 f) (pr2 g).
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.