Definition z_iso_from_Equalizer_to_Equalizer {y z : C} {f g : y --> z} (E E' : Equalizer f g) : z_iso E E'. Proof. use make_z_iso. - exact (from_Equalizer_to_Equalizer E E'). - exact (from_Equalizer_to_Equalizer E' E). - exact (z_iso_from_Equalizer_to_Equalizer_inverses E 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.