exact TendstoUniformlyOn.div_of_compact H7 H2 H8 H4 hf1 H1
case refine_2
ι : Type u_1
F : ι → ℂ → ℂ
f : ℂ → ℂ
z₀ : ℂ
p : Filter ι
r : ℝ
U : Set ℂ
hU : IsOpen U
hF : ∀ᶠ (n : ι) in p, DifferentiableOn ℂ (F n) U
hf : TendstoLocallyUniformlyOn F f p U
hr1 : 0 < r
hr2 : sphere z₀ r ⊆ U
hf1 : ∀ z ∈ sphere z₀ r, f z ≠ 0
h : NeBot p
H1 : IsCompact (sphere z₀ r)
H2 : TendstoUniformlyOn F f p (sphere z₀ r)
H3 : DifferentiableOn ℂ f U
H4 : ContinuousOn f (sphere z₀ r)
H5 : ∀ᶠ (n : ι) in p, ContinuousOn (F n) (sphere z₀ r)
H6 : ∀ᶠ (n : ι) in p, ContinuousOn (deriv (F n)) (sphere z₀ r)
H7 : TendstoUniformlyOn (deriv ∘ F) (deriv f) p (sphere z₀ r)
H8 : ContinuousOn (deriv f) (sphere z₀ r)
⊢ TendstoUniformlyOn (fun k z => deriv (F k) z / F k z) (fun z => deriv f z / f z) p (sphere z₀ r)
no goals