Proposition eq_of_wedge (w : wedge) {x y : C} (g : x --> y) : mor_of_wedge w x · #F (catbinprodmor (identity _) g) = mor_of_wedge w y · #F (catbinprodmor g (identity _)). Proof. exact (pr2 w x y g). 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.