∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C]
  {S : CategoryTheory.ShortComplex C} (h : S.Exact) {W' : C} (g' : W' ⟶ S.X₂)
  (eq' : CategoryTheory.CategoryStruct.comp g' S.g = 0),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.lift (CategoryTheory.Limits.cokernel.π S.f) g' ⋯)
      (CategoryTheory.Abelian.image.ι S.f) =
    g'