{C₁ : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C₁] →
    [inst_1 : CategoryTheory.Abelian C₁] →
      {C₂ : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} C₂] →
          [inst_3 : CategoryTheory.Abelian C₂] →
            (F : CategoryTheory.Functor C₁ C₂) →
              [inst_4 : F.Additive] →
                [inst_5 : CategoryTheory.Limits.PreservesFiniteLimits F] →
                  [inst_6 : CategoryTheory.Limits.PreservesFiniteColimits F] →
                    (F.mapHomologicalComplexUpToQuasiIsoLocalizerMorphism (ComplexShape.up ℤ)).functor.CommShift ℤ