∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {X : C} (f : X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ⦃X_1 Y : CategoryTheory.Over X⦄ (f_1 : X_1 ⟶ Y),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Functor.id (CategoryTheory.Over X)).map f_1)
      (CategoryTheory.Over.homMk
        (CategoryTheory.CartesianMonoidalCategory.lift
          (CategoryTheory.CategoryStruct.id ((CategoryTheory.Functor.id (CategoryTheory.Over X)).obj Y).left) Y.hom)
        ⋯) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Over.homMk
        (CategoryTheory.CartesianMonoidalCategory.lift
          (CategoryTheory.CategoryStruct.id ((CategoryTheory.Functor.id (CategoryTheory.Over X)).obj X_1).left) X_1.hom)
        ⋯)
      (((CategoryTheory.Over.map f).comp
            { obj := fun Y => CategoryTheory.Over.mk (CategoryTheory.SemiCartesianMonoidalCategory.snd Y.left X),
              map := fun {Y Z} g =>
                CategoryTheory.Over.homMk (CategoryTheory.MonoidalCategoryStruct.whiskerRight g.left X) ⋯,
              map_id := ⋯, map_comp := ⋯ }).map
        f_1)