Definition Equalizer_monotone_function {X Y : hSet} (RX : PartialOrder X) (RY : PartialOrder Y) (f g : X → Y) : monotone_function (Equalizer_order RX Y f g) RX := (λ z, pr1 z) ,, Equalizer_pr1_monotone RX Y f g.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics.