Definition first_hexagon_eq : UU := ∏ (a b c : MonM) , (α₁ ((a , b) , c)) · (γ (a , (b ⊗ c))) · (α₁ ((b , c) , a)) = (γ (a , b) #⊗ (id c)) · (α₁ ((b , a) , c)) · ((id b) #⊗ γ (a , c)).
Require Import UniMath.Foundations.PartD. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored.