Definition is_wedge (w : wedge_data) : UU := ∏ (x y : C) (g : x --> y), mor_of_wedge w x · #F (catbinprodmor (identity _) g) = mor_of_wedge w y · #F (catbinprodmor g (identity _)).
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.