∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) [inst_2 : S.HasHomology] (h : S.LeftHomologyData) {Z : C}
  (h_1 : S.leftHomology ⟶ Z),
  CategoryTheory.CategoryStruct.comp h.homologyIso.hom (CategoryTheory.CategoryStruct.comp h.leftHomologyIso.inv h_1) =
    CategoryTheory.CategoryStruct.comp S.leftHomologyIso.inv h_1