Definition disp_associator_iso {C : category} {D : disp_cat C} {M : monoidal C} {DT : disp_tensor D M} (dα : disp_associator_data DT) (dαinv : disp_associatorinv_data DT) : UU := ∏ (x y z : C) (xx : D x) (yy : D y) (zz : D z), is_disp_inverse (pr222 (monoidal_associatorlaw M) x y z) (dα _ _ _ xx yy zz) (dαinv _ _ _ xx yy zz).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Projection. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Import MonoidalNotations. Import DisplayedBifunctorNotations.