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theorem proved term proof

carrier_nonvanishing

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formal statement (Lean)

 206theorem carrier_nonvanishing {σ : ℝ} (hσ : 1/2 < σ) :
 207    carrierValue σ ≠ 0 :=

proof body

Term-mode proof.

 208  ne_of_gt (carrier_pos hσ)
 209
 210/-! ### §4. Logarithmic derivative bound -/
 211
 212/-- The per-prime contribution to the logarithmic derivative:
 213    d/dσ [log det₂_factor] = p^{−2σ}·(log p)/(1 − p^{−σ}).
 214    (On the real axis; for complex s, use |·|.) -/

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