fact: Definition directed_set_comp {X Y : hSet} {PX : PartialOrder X} {PY : PartialOrder Y} (f : monotone_function PX PY) (D : directed_set PX) : directed_set PY.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions