∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {n : ℕ} {S : CategoryTheory.ComposableArrows C (n + 3)} (k : ℕ) (hk : k ≤ n)
  [inst_2 : CategoryTheory.Limits.HasKernel (S.map' (k + 2) (k + 3) ⋯ ⋯)],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι (S.map' (k + 2) (k + 3) ⋯ ⋯))
      (S.map' (k + 2) (k + 3) ⋯ ⋯) =
    0