Definition inr_iso {C₁ C₂ : category} (x₁ x₂ : C₂) : z_iso x₁ x₂ ≃ @z_iso (bincoprod_of_category C₁ C₂) (inr x₁) (inr x₂). Proof. use make_weq. - exact inr_iso_map. - use isweq_iso. + exact inr_iso_inv. + abstract (intro f ; use subtypePath ; [ intro ; apply isaprop_is_z_isomorphism | ] ; apply idpath). + abstract (intro f ; use subtypePath ; [ intro ; apply isaprop_is_z_isomorphism | ] ; apply idpath). 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.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.whiskering.