-- Mathlib.CategoryTheory.Localization.Monoidal.Braided
CategoryTheory.Localization.Monoidal.map_hexagon_forward_assoc : ∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (L : CategoryTheory.Functor C D)
  (W : CategoryTheory.MorphismProperty C) [inst_2 : CategoryTheory.MonoidalCategory C] [inst_3 : W.IsMonoidal]
  [inst_4 : L.IsLocalization W] {unit : D} (ε : L.obj (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ≅ unit)
  [inst_5 : CategoryTheory.BraidedCategory C] (X Y Z : C) {Z_1 : CategoryTheory.LocalizedMonoidal L W ε}
  (h :
    CategoryTheory.MonoidalCategoryStruct.tensorObj
        ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
        (CategoryTheory.MonoidalCategoryStruct.tensorObj
          ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z)
          ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)) ⟶
      Z_1),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.associator
          ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)
          ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
          ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z)).hom
      (CategoryTheory.CategoryStruct.comp
        (((CategoryTheory.Localization.Monoidal.braidingNatIso L W ε).app
                ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)).app
            (CategoryTheory.MonoidalCategoryStruct.tensorObj
              ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
              ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z))).hom
        (CategoryTheory.CategoryStruct.comp
          (CategoryTheory.MonoidalCategoryStruct.associator
              ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
              ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z)
              ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)).hom
          h)) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight
        (((CategoryTheory.Localization.Monoidal.braidingNatIso L W ε).app
                ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)).app
            ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)).hom
        ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z))
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.associator
            ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
            ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)
            ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z)).hom
        (CategoryTheory.CategoryStruct.comp
          (CategoryTheory.MonoidalCategoryStruct.whiskerLeft
            ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Y)
            (((CategoryTheory.Localization.Monoidal.braidingNatIso L W ε).app
                    ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj X)).app
                ((CategoryTheory.Localization.Monoidal.toMonoidalCategory L W ε).obj Z)).hom)
          h))