Definition directed_set_is_directed {X : hSet} {PX : PartialOrder X} (D : directed_set PX) : is_directed PX D := pr22 D.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.