∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S₁ S₂ : CategoryTheory.ShortComplex C} (φ : S₁ ⟶ S₂) [inst_2 : S₁.HasLeftHomology] [inst_3 : S₂.HasLeftHomology],
  (CategoryTheory.ShortComplex.leftHomologyMap φ).op =
    CategoryTheory.CategoryStruct.comp S₂.rightHomologyOpIso.inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.ShortComplex.rightHomologyMap (CategoryTheory.ShortComplex.opMap φ)) S₁.rightHomologyOpIso.hom)