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