Proposition Equalizer_pr1_strict_and_monotone : is_strict_and_monotone Equalizer_pointed_PartialOrder RX (λ z, pr1 z). Proof. split. - apply Equalizer_pr1_monotone. - apply idpath. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.