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Co-authored-by: David Loeffler <[email protected]>
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Mathlib/Analysis/Meromorphic/Order.lean

Lines changed: 3 additions & 2 deletions
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@@ -269,11 +269,12 @@ theorem meromorphicOrderAt_congr (hf₁₂ : f₁ =ᶠ[𝓝[≠] x] f₂) :
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cases h₁f₁ : meromorphicOrderAt f₁ x with
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| top =>
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rw [meromorphicOrderAt_eq_top_iff] at h₁f₁ ⊢
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exact EventuallyEq.rw h₁f₁ (fun x => Eq (f₂ x)) hf₁₂.symm
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filter_upwards [hf₁₂, h₁f₁] using by grind
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| coe n =>
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obtain ⟨g, h₁g, h₂g, h₃g⟩ := (meromorphicOrderAt_eq_int_iff hf₁).1 h₁f₁
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rw [meromorphicOrderAt_eq_int_iff (hf₁.congr hf₁₂)]
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exact ⟨g, h₁g, h₂g, EventuallyEq.rw h₃g (fun x => Eq (f₂ x)) hf₁₂.symm⟩
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use g, h₁g, h₂g
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filter_upwards [hf₁₂, h₃g] using by grind
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/-- Compatibility of notions of `order` for analytic and meromorphic functions. -/
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lemma AnalyticAt.meromorphicOrderAt_eq (hf : AnalyticAt 𝕜 f x) :

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