proposition: Proposition is_least_upperbound_dcpo_lub {X : dcpo} (D : directed_set X) : is_least_upperbound X D (⨆ D).
proof: Proof. apply (pr22 X _ D (directed_set_is_directed D)). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets