{𝒮 : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] →
    {𝒳 : CategoryTheory.BasedCategory 𝒮} →
      {𝒴 : CategoryTheory.BasedCategory 𝒮} →
        (toFunctor : CategoryTheory.Functor 𝒳.obj 𝒴.obj) →
          autoParam (toFunctor.comp 𝒴.p = 𝒳.p) CategoryTheory.BasedFunctor.w._autoParam →
            CategoryTheory.BasedFunctor 𝒳 𝒴