Definition univalent_category_binproduct (C₁ C₂ : univalent_category) : univalent_category. Proof. use make_univalent_category. - exact (category_binproduct C₁ C₂). - use is_univalent_category_binproduct. + exact (pr2 C₁). + exact (pr2 C₂). Defined.
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.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.opp_precat.