∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {n : ℕ} {f : 𝕜 → F} {s : Set 𝕜} {x : 𝕜},
  UniqueDiffOn 𝕜 s → ContDiffAt 𝕜 (↑n) f x → x ∈ s → iteratedDerivWithin n f s x = iteratedDeriv n f x