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