Proposition mor_to_coend'_comm (w' : D) (fs : ∏ (x : C), F (x ,, x) --> w') (H : is_cowedge (make_cowedge_data w' fs)) (x : C) : mor_of_cowedge w x · mor_to_coend' w' fs H = fs x. Proof. exact (mor_to_coend_comm (make_cowedge _ H) 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.