Definition disp_lassociator_lassociator_law : UU := ∏ (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 _ _ _).
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.