∀ {C : Type u_4} {D : Type u_2} [inst : CategoryTheory.Category.{u_3, u_4} C]
  [inst_1 : CategoryTheory.Category.{u_1, u_2} D] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] (F : CategoryTheory.Functor C D)
  [inst_4 : F.PreservesZeroMorphisms] [CategoryTheory.Limits.HasKernels C] [CategoryTheory.Limits.HasCokernels C]
  [F.PreservesHomology] {Y : CategoryTheory.ShortComplex C}, (Y.map F).HasLeftHomology