Definition two_sided_disp_cat_weq_disp_cat : twosided_disp_cat C₁ C₂ ≃ disp_cat (category_binproduct C₁ C₂). Proof. use weq_iso. - exact twosided_disp_cat_to_disp_cat. - exact disp_cat_to_twosided_disp_cat. - exact two_sided_disp_cat_weq_disp_cat_inv_left. - exact two_sided_disp_cat_weq_disp_cat_inv_right. 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.