Definition strict_and_monotone_pointed_PartialOrder : pointed_PartialOrder (strict_and_monotone_function_set PX PY) := strict_and_monotone_PartialOrder ,, strict_and_monotone_PartialOrder_bottom.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.