Definition disp_lwhisker_vcomp_alt {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 •• φφ) = transportf (λ α, _ ==>[α] _) (lwhisker_vcomp _ _ _) ((ff ◃◃ ηη) •• (ff ◃◃ 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.