have lh1 : ∀ᶠ z in 𝓝 z₀, g z ≠ 0 := hp.dslope_order_eventually_ne_zero h
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)
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
lh1 : ∀ᶠ (z : ℂ) in 𝓝 z₀, g z ≠ 0
⊢ ∃ R > 0, ∀ r ∈ Set.Ioo 0 R, cindex z₀ r f = ↑(FormalMultilinearSeries.order p)