∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C]
  (X : CategoryTheory.Arrow C),
  CategoryTheory.Limits.kernel.lift (CategoryTheory.Limits.cokernel.π X.hom)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Abelian.image.ι X.hom)
        (CategoryTheory.CategoryStruct.id X).right)
      ⋯ =
    CategoryTheory.CategoryStruct.id (CategoryTheory.Abelian.image X.hom)