fact: Definition least_upper_bound_image {I} (f : I -> P) : least_upper_bound f <-> least_upper_bound (pr1carrier (image f)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo