Minor update
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@ -14,13 +14,14 @@ theorem MeromorphicOn.order_ne_top
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{U : Set ℂ}
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(h₁U : IsConnected U)
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(h₁f : MeromorphicOn f U) :
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(∃ z₀ : U, (h₁f z₀.1 z₀.2).order ≠ ⊤) ↔ (∀ z : U, (h₁f z.1 z.2).order ≠ ⊤) := by
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(∃ z₀ : U, (h₁f z₀.1 z₀.2).order = ⊤) ↔ (∀ z : U, (h₁f z.1 z.2).order = ⊤) := by
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constructor
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· intro h
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obtain ⟨h₁z₀, h₂z₀⟩ := h
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intro hz
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sorry
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· intro h
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@ -10,16 +10,6 @@ import Nevanlinna.mathlibAddOn
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open scoped Interval Topology
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open Real Filter MeasureTheory intervalIntegral
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theorem MeromorphicOn.order_ne_top
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{f : ℂ → ℂ}
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{U : Set ℂ}
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(h₁U : IsConnected U)
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(h₂U : IsCompact U)
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(h₁f : MeromorphicOn f U)
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(h₂f : ∃ z₀ ∈ U, f z₀ ≠ 0) :
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∀ hz : z ∈ U, (h₁f z hz).order ≠ ⊤ := by
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sorry
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theorem MeromorphicOn.decompose
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