∀ {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 G : CategoryTheory.Functor C D} [inst_4 : F.PreservesZeroMorphisms] [inst_5 : G.PreservesZeroMorphisms]
  [inst_6 : F.PreservesLeftHomologyOf S] [inst_7 : G.PreservesLeftHomologyOf S] (h : S.LeftHomologyData) (τ : F ⟶ G),
  (CategoryTheory.ShortComplex.LeftHomologyMapData.natTransApp h τ).φH = τ.app h.H