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erdos170.existing_bounds

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The existence of the limit has been proved by Erdős and Gál [ErGa48]. The lower bound has been proven by Leech [Le56], who refined an argument of Rédei and Rényi. The upper bound is due to Wichmann [Wi63].

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Lean 4 Statement 
lemma erdos170.existing_bounds :
  ∃ x ∈ Set.Icc lower_bound upper_bound,
    Filter.Tendsto (fun N => F N / √N) Filter.atTop (𝓝 x)
ID: ErdosProblems__170__erdos170.existing_bounds
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