Definition monotone_function_PartialOrder : PartialOrder (monotone_function_hSet RX RY). Proof. use make_PartialOrder. - exact monotone_function_order. - exact monotone_function_isPartialOrder. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics.