∀ {k G : Type u_1} [inst : CommRing k] [inst_1 : Monoid G] (A B : Rep k G) (α : Type u_1) [inst_2 : DecidableEq α]
  (x : G),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.MonoidalCategoryStruct.tensorObj (Rep.finsupp α A) B).ρ x)
      (TensorProduct.finsuppLeft k k (↑A.V) (↑B.V) α).toModuleIso.hom =
    CategoryTheory.CategoryStruct.comp (TensorProduct.finsuppLeft k k (↑A.V) (↑B.V) α).toModuleIso.hom
      ((Rep.finsupp α (CategoryTheory.MonoidalCategoryStruct.tensorObj A B)).ρ x)