Definition disp_lassociator_lassociator {a b c d e: C} {f : C⟦a,b⟧} {g : C⟦b,c⟧} {h : c --> d} {i : C⟦d,e⟧} {v : D a} {w : D b} {x : D c} {y : D d} {z : D e} (ff : v -->[f] w) (gg : w -->[g] x) (hh : x -->[h] y) (ii : y -->[i] z) : (ff ◃◃ disp_lassociator gg hh ii) •• disp_lassociator _ _ _ •• (disp_lassociator _ _ _ ▹▹ ii) = transportb (λ α, _ ==>[α] _) (lassociator_lassociator _ _ _ _) (disp_lassociator ff gg _ •• disp_lassociator _ _ _) := pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 (pr2 D)))))))))))))))))))) _ _ _ _ _ _ _ _ _ _ _ _ _ _ ff gg hh ii.
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.