{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {motive : CategoryTheory.SymmetricCategory C → Sort u_1} →
        (t : CategoryTheory.SymmetricCategory C) →
          ([toBraidedCategory : CategoryTheory.BraidedCategory C] →
              (symmetry :
                  ∀ (X Y : C),
                    CategoryTheory.CategoryStruct.comp (β_ X Y).hom (β_ Y X).hom =
                      CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y)) →
                motive { toBraidedCategory := toBraidedCategory, symmetry := symmetry }) →
            motive t