∀ {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] {S₁ S₂ : CategoryTheory.ShortComplex C} {φ : S₁ ⟶ S₂}
  {h₁ : S₁.LeftHomologyData} {h₂ : S₂.LeftHomologyData} (ψ : CategoryTheory.ShortComplex.LeftHomologyMapData φ h₁ h₂)
  (F : CategoryTheory.Functor C D) [inst_4 : F.PreservesZeroMorphisms] [inst_5 : h₁.IsPreservedBy F]
  [inst_6 : h₂.IsPreservedBy F],
  CategoryTheory.CategoryStruct.comp (h₁.map F).f' (F.map ψ.φK) =
    CategoryTheory.CategoryStruct.comp (F.mapShortComplex.map φ).τ₁ (h₂.map F).f'