{A : Type u_1} →
  (K : Type u_2) →
    [inst : CommRing A] →
      (S : Submonoid A) →
        [inst_1 : CommRing K] →
          [inst_2 : Algebra A K] →
            [IsFractionRing A K] →
              (B : Type u_3) →
                [inst_4 : CommRing B] →
                  [inst_5 : Algebra A B] → [IsLocalization S B] → S ≤ nonZeroDivisors A → B →ₐ[A] K