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PrimeNumberTheoremAnd/ZetaBounds.lean

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@@ -767,7 +767,7 @@ lemma ZetaBnd_aux1b (N : ℕ) (Npos : 1 ≤ N) {σ : ℝ} (σpos : 0 < σ) {t :
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rw [div_eq_mul_inv (b := (x : ℂ) ^ (σ + t * I + 1)), Complex.cpow_neg]
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· exact fun ⦃U⦄ a ↦ a
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/-%%
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\begin{proof}\uses{ZetaSum_aux1a}
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\begin{proof}\uses{ZetaSum_aux1a}\leanok
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Apply Lemma \ref{ZetaSum_aux1a} with $a=N$ and $b\to \infty$.
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\end{proof}
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%%-/
@@ -845,6 +845,7 @@ lemma HolomorphicOn_riemannZeta0 {N : ℕ} (N_pos : 0 < N) :
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· fun_prop
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· norm_num
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· apply DifferentiableOn.mul differentiableOn_id
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--extract_goal
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sorry
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/-%%
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\begin{proof}\uses{ZetaSum_aux1, ZetaBnd_aux1b}

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