Definition id_two_disp_right_law (D : twosided_disp_cat_data) : UU := ∏ (x₁ x₂ : C₁) (y₁ y₂ : C₂) (xy₁ : D x₁ y₁) (xy₂ : D x₂ y₂) (f : x₁ --> x₂) (g : y₁ --> y₂) (fg : xy₁ -->[ f ][ g ] xy₂), fg ;;2 id_two_disp xy₂ = transportb_disp_mor2 (id_right _) (id_right _) fg.
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.