proposition: Proposition is_least_upperbound_is_upperbound {x : X} (Hx : is_least_upperbound x) : is_upperbound x.
proof: Proof. exact (pr1 Hx). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets