(F : Type u_1) →
  (K : Type u_2) →
    (L : Type u_3) →
      [inst : Field K] →
        [inst_1 : Field L] →
          [inst_2 : Algebra K L] →
            [inst_3 : IsPurelyInseparable.HasExponent K L] →
              (p : ℕ) →
                [ExpChar K p] →
                  [inst_5 : Field F] →
                    [inst_6 : Algebra F K] →
                      [inst_7 : Algebra F L] →
                        [IsScalarTower F K L] →
                          [inst_9 : ExpChar F p] →
                            {n : ℕ} → IsPurelyInseparable.exponent K L ≤ n → L →ₛₗ[iterateFrobenius F p n] K