fact: Definition greatest_suchthat (A : P -> UU) : UU := greatest_of_family (pr1 : (∑ x:P, A x) -> P).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo