set g : ℂ → ℂ := iterate (swap dslope z₀) p.order f
f g : ℂ → ℂ
p : FormalMultilinearSeries ℂ ℂ ℂ
z z₀ c : ℂ
n : ℕ
U : Set ℂ
r : ℝ
hp : HasFPowerSeriesAt f p z₀
h : p ≠ 0
⊢ ∃ R > 0, ∀ r ∈ Set.Ioo 0 R, cindex z₀ r f = ↑(FormalMultilinearSeries.order p)
f g✝ : ℂ → ℂ
p : FormalMultilinearSeries ℂ ℂ ℂ
z z₀ c : ℂ
n : ℕ
U : Set ℂ
r : ℝ
hp : HasFPowerSeriesAt f p z₀
h : p ≠ 0
g : ℂ → ℂ := (swap dslope z₀)^[FormalMultilinearSeries.order p] f
⊢ ∃ R > 0, ∀ r ∈ Set.Ioo 0 R, cindex z₀ r f = ↑(FormalMultilinearSeries.order p)