Definition disp_lwhisker_lwhisker {a b c d : C} {f : C⟦a,b⟧} {g : C⟦b,c⟧} {h i : c --> d} {η : h ==> i} {w : D a} {x : D b} {y : D c} {z : D d} (ff : w -->[f] x) (gg : x -->[g] y) {hh : y -->[h] z} {ii : y -->[i] z} (ηη : hh ==>[η] ii) : ff ◃◃ (gg ◃◃ ηη) •• disp_lassociator _ _ _ = transportb (λ α, _ ==>[α] _) (lwhisker_lwhisker _ _ _) (disp_lassociator _ _ _ •• (ff ;; gg ◃◃ ηη)) := pr1 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 D)))))))))) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ηη.
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.