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