Lemma EqualizerArrowMonic {y z : C} {f g : y --> z} (E : Equalizer f g ) : Monic _ E y. Proof. exact (make_Monic C (EqualizerArrow E) (EqualizerArrowisMonic E)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Retracts.