∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {s t : Set E}
  {f : E → F} {x : E} (y : E),
  s =ᶠ[nhdsWithin x {y}ᶜ] t → ∀ (n : ℕ), iteratedFDerivWithin 𝕜 n f s =ᶠ[nhds x] iteratedFDerivWithin 𝕜 n f t