From 714b6268d7c2191e093c80bea35bbf1cccb4ba03 Mon Sep 17 00:00:00 2001 From: AlexKontorovich <58564076+AlexKontorovich@users.noreply.github.com> Date: Tue, 30 Apr 2024 12:24:53 -0400 Subject: [PATCH] blueprint --- PrimeNumberTheoremAnd/ZetaBounds.lean | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/PrimeNumberTheoremAnd/ZetaBounds.lean b/PrimeNumberTheoremAnd/ZetaBounds.lean index 9b508cfb..30fd4f3f 100644 --- a/PrimeNumberTheoremAnd/ZetaBounds.lean +++ b/PrimeNumberTheoremAnd/ZetaBounds.lean @@ -767,7 +767,7 @@ lemma ZetaBnd_aux1b (N : ℕ) (Npos : 1 ≤ N) {σ : ℝ} (σpos : 0 < σ) {t : rw [div_eq_mul_inv (b := (x : ℂ) ^ (σ + t * I + 1)), Complex.cpow_neg] · exact fun ⦃U⦄ a ↦ a /-%% -\begin{proof}\uses{ZetaSum_aux1a} +\begin{proof}\uses{ZetaSum_aux1a}\leanok Apply Lemma \ref{ZetaSum_aux1a} with $a=N$ and $b\to \infty$. \end{proof} %%-/ @@ -845,6 +845,7 @@ lemma HolomorphicOn_riemannZeta0 {N : ℕ} (N_pos : 0 < N) : · fun_prop · norm_num · apply DifferentiableOn.mul differentiableOn_id + --extract_goal sorry /-%% \begin{proof}\uses{ZetaSum_aux1, ZetaBnd_aux1b}