∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y : CategoryTheory.EndMonoidal (CategoryTheory.MonoidalSingleObj.star C)} (f : X ⟶ Y)
  (X' : CategoryTheory.EndMonoidal (CategoryTheory.MonoidalSingleObj.star C)),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight
        ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).map f)
        ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).obj X'))
      (CategoryTheory.Iso.refl
          (CategoryTheory.MonoidalCategoryStruct.tensorObj
            ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).obj Y)
            ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).obj X'))).hom =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Iso.refl
          (CategoryTheory.MonoidalCategoryStruct.tensorObj
            ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).obj X)
            ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).obj X'))).hom
      ((CategoryTheory.MonoidalSingleObj.endMonoidalStarFunctor C).map
        (CategoryTheory.MonoidalCategoryStruct.whiskerRight f X'))