Definition disp_rassociator_lassociator_law : UU := ∏ (a b c d : C) (f : C⟦a,b⟧) (g : C⟦b,c⟧) (h : c --> d) (w : D a) (x : D b) (y : D c) (z : D d) (ff : w -->[f] x) (gg : x -->[g] y) (hh : y -->[h] z), disp_rassociator ff gg hh •• disp_lassociator _ _ _ = transportb (λ α, _ ==>[α] _) (rassociator_lassociator _ _ _ ) (disp_id2 _).
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.