Proposition is_scott_open_lub_inaccessible (D : directed_set X) (HD : P(⨆ D)) : ∃ (i : D), P (D i). Proof. exact (pr2 HP D HD). Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.DCPOs.Core.DirectedSets. Require Import UniMath.OrderTheory.DCPOs.Core.Basics. Require Import UniMath.OrderTheory.DCPOs.Core.WayBelow. Require Import UniMath.OrderTheory.DCPOs.Basis.Continuous.