proposition: Proposition lub_is_upperbound (x : lub) : is_upperbound x.
proof: Proof. exact (is_least_upperbound_is_upperbound (pr2 x)). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets