Lemma EqualizerArrowisMonic {y z : C} {f g : y --> z} (E : Equalizer f g ) : isMonic (EqualizerArrow E). Proof. apply make_isMonic. intros z0 g0 h X. apply (EqualizerInsEq E). apply X. Qed.
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.