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erdos_513.lower_bound

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For all transcendental entire function `f`, `liminf (fun r : ℝ => ratio r f) atTop > 1 / 2`.

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Lean 4 Statement 
theorem erdos_513.lower_bound :
    ⨆ f : {f : ℂ → ℂ // Transcendental ℂ[X] f ∧ Differentiable ℂ f},
    (liminf (fun r : ℝ => ratio r f) atTop) > 1 / 2
ID: ErdosProblems__513__erdos_513.lower_bound
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