{P : Sort u_1} →
  {C : Type u} →
    {inst : CategoryTheory.Category.{v, u} C} →
      {inst_1 : CategoryTheory.Limits.HasZeroObject C} →
        {inst_2 : CategoryTheory.Limits.HasZeroMorphisms C} →
          {Z : C} →
            {t : CategoryTheory.ProjectiveResolution Z} →
              {C' : Type u} →
                {inst' : CategoryTheory.Category.{v, u} C'} →
                  {inst'_1 : CategoryTheory.Limits.HasZeroObject C'} →
                    {inst'_2 : CategoryTheory.Limits.HasZeroMorphisms C'} →
                      {Z' : C'} →
                        {t' : CategoryTheory.ProjectiveResolution Z'} →
                          C = C' →
                            inst ≍ inst' →
                              inst_1 ≍ inst'_1 →
                                inst_2 ≍ inst'_2 →
                                  Z ≍ Z' → t ≍ t' → CategoryTheory.ProjectiveResolution.noConfusionType P t t'