∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C] (X₁ X₂ : C)
  {x x_1 : C} (φ : x ⟶ x_1),
  (((CategoryTheory.BraidedCategory.Hexagon.functor₁₂₃ C).obj X₁).obj X₂).map φ =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator X₁ X₂ x).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X₁ (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X₂ φ))
        (CategoryTheory.MonoidalCategoryStruct.associator X₁ X₂ x_1).inv)