Definition bincoprod_of_category_has_homsets (C₁ C₂ : category) : has_homsets (bincoprod_of_precategory_ob_mor C₁ C₂). Proof. intros z₁ z₂. induction z₁ as [ x₁ | y₁ ] ; induction z₂ as [ x₂ | y₂ ] ; cbn. - apply homset_property. - apply isasetempty. - apply isasetempty. - apply homset_property. 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.