Definition displayedpentagon_identity {dtd : displayedtensor_data} (dα : displayedassociator_data dtd) : UU := ∏ (w x y z: C), ∏ (e : D w) (a : D x) (b : D y) (c : D z), (((dα _ _ _ e a b) ⊗^{{dtd}} (id_disp c)) ;; (dα _ _ _ e (a ⊗_{{dtd}} b) c) ;; ((id_disp e) ⊗^{{dtd}} (dα _ _ _ a b c))) = transportb _ (pen w x y z) ((dα (w ⊗_{T} x) y z (e ⊗_{{dtd}} a) b c) ;; (dα w x (y ⊗_{T} z) e a (b ⊗_{{dtd}} c))).
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesCurried. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Constructions. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.