∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategoryStruct D]
  {F : CategoryTheory.Functor D C} (self : CategoryTheory.Monoidal.InducingFunctorData F) (X : D) {Y₁ Y₂ : D}
  (f : Y₁ ⟶ Y₂),
  F.map (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f) =
    CategoryTheory.CategoryStruct.comp (self.μIso X Y₁).inv
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft (F.obj X) (F.map f))
        (self.μIso X Y₂).hom)