Definition strict_and_monotone_function_to_fun {X Y : hSet} {RX : pointed_PartialOrder X} {RY : pointed_PartialOrder Y} (f : strict_and_monotone_function RX RY) : X → Y := pr1 f.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.