Definition action_pentagon_eq (χ : action_convertor) := ∏ (a : A), ∏ (u v w : Mon_V), (χ ((a ⊙ u, v), w)) · (χ ((a, u), v ⊗ w)) = (χ ((a, u), v)) #⊙ (id w) · (χ ((a, u ⊗ v), w)) · (id a) #⊙ (α' ((u, v), w)).
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored. Require Import UniMath.Bicategories.MonoidalCategories.EndofunctorsMonoidal.