Definition is_end_construction_of_ends : is_end construction_of_ends_wedge. Proof. intro w. use iscontraprop1. - exact (is_end_construction_of_ends_unique_map w). - use make_wedge_map. + exact (is_end_construction_of_ends_mor w). + exact (is_end_construction_of_ends_comm w). Defined.
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.