Definition prod_of_twosided_disp_cat_ob_mor : twosided_disp_cat_ob_mor C₁ C₂. Proof. simple refine (_ ,, _). - exact (λ x y, D₁ x y × D₂ x y). - exact (λ x₁ x₂ y₁ y₂ xy₁ xy₂ f g, pr1 xy₁ -->[ f ][ g ] pr1 xy₂ × pr2 xy₁ -->[ f ][ g ] pr2 xy₂). 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.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete.