Definition disp_psfunctor_rwhisker_law : UU := ∏ (a b c : B₁) (f₁ f₂ : B₁ ⟦ a, b ⟧) (g : B₁ ⟦ b, c ⟧) (η : f₁ ==> f₂) (aa : D₁ a) (bb : D₁ b) (cc : D₁ c) (ff₁ : aa -->[f₁] bb) (ff₂ : aa -->[f₂] bb) (gg : bb -->[g] cc) (ηη : ff₁ ==>[ η] ff₂), disp_psfunctor_comp FFdata _ _ •• disp_psfunctor_cell FFdata (ηη ▹▹ gg) = transportb (λ p, _ ==>[p] _) (psfunctor_rwhisker F g η) ((disp_psfunctor_cell FFdata ηη ▹▹ _) •• disp_psfunctor_comp FFdata _ _).
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.DisplayedBicats.CleavingOfBicat. Require Import UniMath.Bicategories.DisplayedBicats.FiberCategory. 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. Import PseudoFunctor.Notations.