∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.MonoidalCategory C] (x : C)
  ⦃X Y : C⦄ (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.BraidedCategory.Hexagon.functor₁₃₂' C).obj x).map f)
      { app := fun x_1 => (CategoryTheory.MonoidalCategoryStruct.associator x x_1 Y).inv, naturality := ⋯ } =
    CategoryTheory.CategoryStruct.comp
      { app := fun x_1 => (CategoryTheory.MonoidalCategoryStruct.associator x x_1 X).inv, naturality := ⋯ }
      (((CategoryTheory.BraidedCategory.Hexagon.functor₁₃₂ C).obj x).map f)