∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) [S.HasHomology] [inst_3 : CategoryTheory.Limits.HasKernel S.g]
  [inst_4 : CategoryTheory.Limits.HasCokernel S.f],
  S.Exact ↔
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι S.g) (CategoryTheory.Limits.cokernel.π S.f) = 0