Definition directed_set_map {X : hSet} {PX : PartialOrder X} (D : directed_set PX) : directed_set_dom D → X := pr12 D.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.