∀ {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] {F : CategoryTheory.Functor C D}
  [inst_4 : F.PreservesZeroMorphisms],
  autoParam (∀ ⦃X Y : C⦄ (f : X ⟶ Y), CategoryTheory.Limits.PreservesLimit (CategoryTheory.Limits.parallelPair f 0) F)
      CategoryTheory.Functor.PreservesHomology.preservesKernels._autoParam →
    autoParam
        (∀ ⦃X Y : C⦄ (f : X ⟶ Y), CategoryTheory.Limits.PreservesColimit (CategoryTheory.Limits.parallelPair f 0) F)
        CategoryTheory.Functor.PreservesHomology.preservesCokernels._autoParam →
      F.PreservesHomology