Definition z_iso_to_BinCoproduct {x y z : C} (BP : BinCoproduct x y) (i : z_iso z (BinCoproductObject BP)) : BinCoproduct x y := make_BinCoproduct C _ _ z ((BinCoproductIn1 BP) · (z_iso_inv_from_z_iso i)) ((BinCoproductIn2 BP) · (z_iso_inv_from_z_iso i)) (z_iso_to_isBinCoproduct BP i).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Limits.Zero. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Limits.Coproducts. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.ProductCategory.