exact ((UniformOnFun.uniformContinuous_eval_of_mem ℂ (compacts U)
  (mem_singleton z) ⟨singleton_subset_iff.2 hz, isCompact_singleton⟩).continuous).tendsto f
ι : Type u_1
l✝ : Filter ι
U : Set ℂ
z₀✝ : ℂ
inst✝ : good_domain U
hU : IsOpen U
f : 𝓒 U
hf : ClusterPt f (𝓟 (𝓙 U))
l : Filter (𝓒 U) := 𝓝 f ⊓ 𝓟 (𝓙 U)
this : NeBot l
h1 : Tendsto id l (𝓝 f)
h2 : ∀ᶠ (a : 𝓒 U) in l, id a ∈ 𝓙 U
h : ¬∃ᶠ (f : ℂ → ℂ) in l, InjOn f U
z₀ : ℂ
hz₀ : z₀ ∈ U
z : ℂ
hz : z ∈ U
⊢ map (eval z) (𝓝 f) ≤ 𝓝 (f z)
no goals