Definition from_Coequalizer_to_Coequalizer {y z : C} {f g : y --> z} (E E': Coequalizer f g) : C⟦E, E'⟧. Proof. apply (CoequalizerOut E E' (CoequalizerArrow E')). apply CoequalizerEqAr. 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.Epis. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Retracts. Section CoequalizersFromReflexiveCoequalizers. Section CoequalizersFromReflexive. End CoequalizersFromReflexive. End CoequalizersFromReflexiveCoequalizers.