Proposition mor_to_coend_comm (w' : cowedge) (x : C) : mor_of_cowedge w x · mor_to_coend w' = mor_of_cowedge w' x. Proof. exact (eq_of_cowedge_map (pr1 (Hw w')) 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.