Definition pentagon {C : category} {tu : tensor_unit C} (ua : unitors_associator tu) : UU := ∏ (w x y z : C), ((pr1 ass^{ua} w x y) ⊗^{tu} (identity z)) · (pr1 ass^{ua} w (x⊗_{tu} y) z) · ((identity w) ⊗^{tu} (pr1 ass^{ua} x y z)) = (pr1 ass^{ua} (w ⊗_{tu} x) y z) · (pr1 ass^{ua} w x (y ⊗_{tu} z)).
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.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import TensorNotation. Import TensorUnitNotation. Import UnitorsAssociatorNotation. Import TensorNotation. Import TensorUnitNotation. Import UnitorsAssociatorNotation.