fact: Definition is_closed_under_lub (P : X → hProp) : hProp := (∀ (D : directed_set X), (∀ (i : D), P (D i)) ⇒ P(⨆ D))%logic.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.WayBelow UniMath.OrderTheory.DCPOs.Basis.Continuous