fact: Definition is_upper_bound_subfamily {I} (f : I -> P) {J} (g : J -> P) (ff : forall j, (image f) (g j)) {x} (x_ub : isupperbound f x) : isupperbound g x.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo