∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] (S : CategoryTheory.ShortComplex C)
  (F : CategoryTheory.Functor C D) [inst_4 : F.PreservesZeroMorphisms] [S.HasHomology] [F.PreservesLeftHomologyOf S]
  [F.PreservesRightHomologyOf S], (S.map F).HasHomology