∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {ι : Type u_2} {c : ComplexShape ι}
  [inst_1 : CategoryTheory.Preadditive C] [inst_2 : CategoryTheory.CategoryWithHomology C]
  {K L : HomologicalComplex C c} (f : K ⟶ L),
  HomotopyCategory.quasiIso C c ((HomotopyCategory.quotient C c).map f) ↔ HomologicalComplex.quasiIso C c f