Definition twosided_disp_cat_id {C₁ C₂ : precategory_data} (D : twosided_disp_cat_ob_mor C₁ C₂) : UU := ∏ (x : C₁) (y : C₂) (xy : D x y), xy -->[ identity x ][ identity y ] xy.
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.