fact: Definition isupperbound_if_pointwise {X:UU} {P : X -> Poset} {I} {f : I -> forall_Poset P} {g : forall_Poset P} : isupperbound f g <-> forall x, isupperbound (fun i => f i x) (g x).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo