Definition iterate_scott_continuous_map_S {X : dcppo} (n : ℕ) (f : scott_continuous_map X X) (x : X) : pr1 (iterate_scott_continuous_map (S n) f) x = f (pr1 (iterate_scott_continuous_map n f) x).
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.ScottContinuous. Require Import UniMath.OrderTheory.DCPOs.Examples.Fixpoints. Require Import UniMath.OrderTheory.DCPOs.Examples.Exponentials. Require Import UniMath.OrderTheory.DCPOs.Examples.BinaryProducts.