Definition pointwiseorder {X:UU} (P : X -> Poset) : hrel (∏ x, P x) := fun f g => ∀ x, f x ≤ g x.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo. Require Import UniMath.OrderTheory.Posets.Subposets.