Proposition is_end_construction_of_ends_comm : is_wedge_map is_end_construction_of_ends_mor. Proof. intros x. cbn. unfold is_end_construction_of_ends_mor. unfold construction_of_ends_pr. rewrite !assoc. rewrite EqualizerCommutes. apply (ProductPrCommutes _ _ _ ProdF). 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.Products. Require Import UniMath.CategoryTheory.Limits.Equalizers.