∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {L : Filter (𝕜 × 𝕜)} {f : 𝕜 → 𝕜} {f' : 𝕜},
  HasDerivAtFilter f f' L → Filter.Tendsto (Prod.map f f) L L → ∀ (n : ℕ), HasDerivAtFilter f^[n] (f' ^ n) L