∀ {C : Type u_4} [inst : CategoryTheory.Category.{u_3, u_4} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Preadditive C] {D : Type u_2} [inst_3 : CategoryTheory.Category.{u_1, u_2} D]
  [inst_4 : CategoryTheory.Preadditive D] [CategoryTheory.CategoryWithHomology D] (F : CategoryTheory.Functor C D)
  [inst_6 : F.Additive] {Z : C} (P : CategoryTheory.ProjectiveResolution Z) (i : ℕ),
  (((F.mapHomologicalComplex (ComplexShape.down ℕ)).obj P.complex).sc i).HasHomology