Definition make_least_upper_bound {I} {p : I -> P} (x:P) (x_lub : is_least_upper_bound p x) : least_upper_bound p := make_least_suchthat x x_lub.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo. Require Import UniMath.OrderTheory.Posets.Subposets.