Theorems / mh_numb_0a85d7

Mathlib held-out

Number theory · easy

Statement, exactly as the model and Lean see it
theorem lg_target (f : ℕ → ℂ) : AnalyticOn ℂ (LSeries f) {s | LSeries.abscissaOfAbsConv f < ↑s.re} := by
Mathlib declaration
LSeries_analyticOn
Held-out module
Mathlib.NumberTheory.LSeries.Deriv
Banned modules (itself + downstream)
21
Reference proof premises (reachable / held-out)
1 / 1

Traces

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Reference proof

Mathlib's own source for this declaration, shown for comparison. It may use lemmas the prover is not allowed to use.

lemma LSeries_analyticOn (f : ℕ → ℂ) :
    AnalyticOn ℂ (LSeries f) {s | abscissaOfAbsConv f < s.re} :=
  (LSeries_analyticOnNhd f).analyticOn