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