Definition twosided_disp_cat_to_disp_cat_data (D : twosided_disp_cat C₁ C₂) : disp_cat_data (category_binproduct C₁ C₂). Proof. simple refine (_ ,, _). - exact (twosided_disp_cat_to_disp_cat_ob_mor D). - exact (twosided_disp_cat_to_disp_cat_id_comp D). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.PrecategoryBinProduct.