Proposition eq_of_cowedge_map {w₁ w₂ : cowedge} (f : cowedge_map w₁ w₂) (x : C) : mor_of_cowedge w₁ x · f = mor_of_cowedge w₂ x. Proof. exact (pr2 f x). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.OppositeCategory.Core. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Limits.Coproducts. Require Import UniMath.CategoryTheory.Limits.Coequalizers.