Definition disp_psnaturality_natural_law : UU := ∏ (x y : B₁) (f g : B₁ ⟦ x, y ⟧) (η : f ==> g) (xx : D₁ x) (yy : D₁ y) (ff : xx -->[ f] yy) (gg : xx -->[ g] yy) (ηη : ff ==>[ η] gg), (ααdata x xx ◃◃ disp_psfunctor_cell D₁ D₂ F₂ FF₂ ηη) •• disp_psnaturality_of ααdata gg = transportb (λ p, _ ==>[p] _) (psnaturality_natural α x y f g η) (disp_psnaturality_of ααdata ff •• (disp_psfunctor_cell D₁ D₂ F₁ FF₁ ηη ▹▹ ααdata y yy)).
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.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.Initial. Require Import UniMath.Bicategories.Core.Examples.Final. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.DisplayedBicats.DispInvertibles. Require Import UniMath.Bicategories.DisplayedBicats.DispAdjunctions. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Require Import UniMath.Bicategories.PseudoFunctors.Examples.Identity. Require Import UniMath.Bicategories.PseudoFunctors.Examples.Composition. Require Import UniMath.Bicategories.Transformations.PseudoTransformation. Require Import UniMath.Bicategories.Transformations.Examples.Whiskering. Require Import UniMath.Bicategories.Transformations.Examples.Unitality. Require Import UniMath.Bicategories.Transformations.Examples.Associativity. Require Import UniMath.Bicategories.DisplayedBicats.DispPseudofunctor. Import PseudoFunctor.Notations.