Definition disp_rwhisker_rwhisker_rassociator {w x y z : C} {f₁ f₂ : w --> x} {α : f₁ ==> f₂} {g : x --> y} {h : y --> z} {ww : D w} {xx : D x} {yy : D y} {zz : D z} {ff₁ : ww -->[ f₁ ] xx} {ff₂ : ww -->[ f₂ ] xx} (αα : ff₁ ==>[ α ] ff₂) (gg : xx -->[ g ] yy) (hh : yy -->[ h ] zz) : transportb (λ z, _ ==>[ z ] _) (rwhisker_rwhisker_alt h g α) (disp_rassociator ff₁ gg hh •• (αα ▹▹ (gg ;; hh))) = (αα ▹▹ gg ▹▹ hh) •• disp_rassociator ff₂ gg hh.
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.