∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
  (p : FormalMultilinearSeries 𝕜 E F) (k_2 : ℕ),
  p.iteratedFDerivSeries k_2.succ =
    (↑(continuousMultilinearCurryLeftEquiv 𝕜 (fun x => E) F).symm.toContinuousLinearEquiv).compFormalMultilinearSeries
      (p.iteratedFDerivSeries k_2).derivSeries