Definition disp_depprod_prebicat_laws_help {a b : B} {f g : a --> b} {x y : f ==> g} {aa : ∏ (i : I), D i a} {bb : ∏ (i : I), D i b} {ff : ∏ (i : I), aa i -->[ f ] bb i} {gg : ∏ (i : I), aa i -->[ g ] bb i} (xx : ∏ (i : I), ff i ==>[ y ] gg i) (p : x = y) (i : I) : transportb (λ α : f ==> g, ff i ==>[ α ] gg i) p (xx i) = transportb (λ α : f ==> g, ∏ (i : I), ff i ==>[ α ] gg i) p xx i.
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.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.