proposition: Proposition is_least_upperbound_is_least {x : X} (Hx : is_least_upperbound x) {y : X} (Hy : is_upperbound y) : PX x y.
proof: Proof. exact (pr2 Hx y Hy). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets