∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C]
  (S : CategoryTheory.ShortComplex C),
  CategoryTheory.Limits.kernel.lift S.g S.f ⋯ =
      CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Limits.kernel.lift
          (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι S.g)
            (CategoryTheory.Limits.cokernel.π S.f))
          (CategoryTheory.Limits.kernel.lift S.g S.f ⋯) ⋯)
        (CategoryTheory.Limits.kernel.ι
          (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι S.g)
            (CategoryTheory.Limits.cokernel.π S.f))) →
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.lift S.g S.f ⋯)
        (CategoryTheory.Limits.cokernel.π
          (CategoryTheory.Limits.kernel.ι
            (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι S.g)
              (CategoryTheory.Limits.cokernel.π S.f)))) =
      0