{ι : Type u_2} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        {W : Type u_3} →
          [inst_2 : CategoryTheory.Category.{v_1, u_3} W] →
            [inst_3 : CategoryTheory.Preadditive W] →
              (F : CategoryTheory.Functor V W) →
                [inst_4 : F.Additive] →
                  (c : ComplexShape ι) →
                    (HomotopyCategory.quotient V c).comp (F.mapHomotopyCategory c) ≅
                      (F.mapHomologicalComplex c).comp (HomotopyCategory.quotient W c)