∀ {I : Type u_1} [inst : AddCommMonoid I] {C : Type u_2} [inst_1 : CategoryTheory.Category.{v_1, u_2} C]
  [inst_2 : CategoryTheory.MonoidalCategory C] (X Y : CategoryTheory.GradedObject I C)
  [inst_3 : CategoryTheory.SymmetricCategory C] [inst_4 : X.HasTensor Y] [inst_5 : Y.HasTensor X],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.GradedObject.Monoidal.braiding X Y).hom
      (CategoryTheory.GradedObject.Monoidal.braiding Y X).hom =
    CategoryTheory.CategoryStruct.id (CategoryTheory.GradedObject.Monoidal.tensorObj X Y)