proposition: Proposition is_scott_closed_lub (D : directed_set X) (HD : ∀ (i : D), P (D i)) : P(⨆ D).
proof: Proof. exact (pr2 HP D HD). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.WayBelow UniMath.OrderTheory.DCPOs.Basis.Continuous