fact: Definition is_least_upper_bound_if_pointwise {X:UU} {P : X -> Poset} {I} {f : I -> forall_Poset P} {g : forall_Poset P} : is_least_upper_bound_pointwise f g -> is_least_upper_bound f g.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo