Definition idtoiso_in_bincoprod_inr {C₁ C₂ : category} {x₁ x₂ : C₂} (p : x₁ = x₂) : pr1 (idtoiso p) = pr1 (@idtoiso (bincoprod_of_category C₁ C₂) (inr x₁) (inr x₂) (maponpaths inr p)).
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.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.whiskering.