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theorem proved term proof

eulerQuantitativeFactorization_center

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formal statement (Lean)

 668theorem eulerQuantitativeFactorization_center (ρ : ℂ)
 669    (hρ_ne : ρ ≠ 1) (m : ℤ)
 670    (hord : meromorphicOrderAt zetaReciprocal ρ = ↑m)
 671    (hσ : 1/2 < ρ.re) :
 672    (eulerQuantitativeFactorization ρ hρ_ne m hord hσ).center = ρ := by

proof body

Term-mode proof.

 673  simpa [eulerQuantitativeFactorization, LocalMeromorphicWitness.shrinkRadius] using
 674    (zetaReciprocal_local_factorization ρ hρ_ne m hord).choose_spec.1
 675
 676/-- The order of the Euler quantitative factorization is the specified
 677meromorphic order `m`. -/

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