Sort u →
  {𝒮 : Type u₁} →
    [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] →
      {𝒳 : CategoryTheory.BasedCategory 𝒮} →
        {𝒴 : CategoryTheory.BasedCategory 𝒮} →
          CategoryTheory.BasedFunctor 𝒳 𝒴 →
            {𝒮' : Type u₁} →
              [inst' : CategoryTheory.Category.{v₁, u₁} 𝒮'] →
                {𝒳' : CategoryTheory.BasedCategory 𝒮'} →
                  {𝒴' : CategoryTheory.BasedCategory 𝒮'} → CategoryTheory.BasedFunctor 𝒳' 𝒴' → Sort u