Definition twosided_disp_cat_to_disp_cat_ob_mor (D : twosided_disp_cat C₁ C₂) : disp_cat_ob_mor (category_binproduct C₁ C₂). Proof. simple refine (_ ,, _). - exact (λ xy, D (pr1 xy) (pr2 xy)). - exact (λ xy₁ xy₂ z₁ z₂ fg, z₁ -->[ pr1 fg ][ pr2 fg ] z₂). 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.