Definition disp_lwhisker_vcomp_law : UU := ∏ (a b c : C) (f : C⟦a,b⟧) (g h i : C⟦b,c⟧) (η : g ==> h) (φ : h ==> i) (x : D a) (y : D b) (z : D c) (ff : x -->[f] y) (gg : y -->[g] z) (hh : y -->[h] z) (ii : y -->[i] z) (ηη : gg ==>[η] hh) (φφ : hh ==>[φ] ii), (ff ◃◃ ηη) •• (ff ◃◃ φφ) = transportb (λ α, _ ==>[α] _) (lwhisker_vcomp _ _ _) (ff ◃◃ (ηη •• φφ)).
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.DisplayedCats.Total. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Core.Univalence.