Definition is_disp_invertible_2cell_rassociator {a b c d : C} {f1 : C⟦a,b⟧} {f2 : C⟦b,c⟧} {f3 : C⟦c,d⟧} {aa : D a} {bb : D b} {cc : D c} {dd : D d} (ff1 : aa -->[f1] bb) (ff2 : bb -->[f2] cc) (ff3 : cc -->[f3] dd) : is_disp_invertible_2cell (is_invertible_2cell_rassociator _ _ _) (disp_rassociator ff1 ff2 ff3). Proof. exists (disp_lassociator ff1 ff2 ff3). split. - apply disp_rassociator_lassociator. - apply disp_lassociator_rassociator. Defined.
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.