Definition twosided_disp_functor_id_law (FG : twosided_disp_functor_data) : UU := ∏ (x : C₁) (y : C₂) (xy : D₁ x y), #2 FG (id_two_disp xy) = transportb_disp_mor2 (functor_id F x) (functor_id G y) (id_two_disp (FG _ _ xy)).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Total. Section FromDispFunctor. End FromDispFunctor.