Definition eq_Coproduct {C : category} {J : UU} {D : J → C} (coprod₁ coprod₂ : Coproduct J C D) (q : CoproductObject _ _ coprod₁ = CoproductObject _ _ coprod₂) (e : ∏ (j : J), CoproductIn _ _ coprod₁ j = CoproductIn _ _ coprod₂ j · idtoiso (!q)) : coprod₁ = coprod₂.
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.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.ProductCategory. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.whiskering.