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erdos_158.isSidon'

Specification

Let `A` be an infinite Sidon set. Then `liminf |A ∩ {1, ..., N}| * N ^ (- 1 / 2) * (log N) ^ (1 / 2) < ∞`. This is proved in [ESS94].

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Lean 4 Statement 
theorem erdos_158.isSidon' {A : Set ℕ} (hAinf : A.Infinite) (hAsid : IsSidon A) :
    liminf (fun N ↦ ENNReal.ofReal ((A ∩ .Iio N).ncard * N ^ (- 1 / 2 : ℝ) * log N ^ (1 / 2 : ℝ)))
      atTop < ⊤
ID: ErdosProblems__158__erdos_158.isSidon_
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