Definition comp_progressive_map {X : dcpo} (f g : progressive_map X) : progressive_map X. Proof. use make_progressive_map. - exact (comp_monotone_function f g). - exact (is_progressive_comp (pr2 f) (pr2 g)). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions. Require Import UniMath.OrderTheory.DCPOs.Core.DirectedSets. Require Import UniMath.OrderTheory.DCPOs.Core.Basics. Require Import UniMath.OrderTheory.DCPOs.Examples.Products. Require Import UniMath.OrderTheory.DCPOs.Examples.SubDCPO.