Definition isCoequalizer {x y z : C} (f g : x --> y) (e : y --> z) (H : f · e = g · e) : UU := ∏ (w : C) (h : y --> w) (H : f · h = g · h), ∃! φ : z --> w, e · φ = h.
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.