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erdos_158.isSidon
Specification
As a corollary of `erdos_158.isSidon'`, we can prove that `liminf |A ∩ {1, ..., N}| * N ^ (- 1 / 2) = 0` for any infinite Sidon set `A`.
Lean 4 Statement
theorem erdos_158.isSidon {A : Set ℕ} (hAinf : A.Infinite) (hAsid : IsSidon A) :
liminf (fun N : ℕ => (A ∩ .Iio N).ncard * (N : ℝ) ^ (- 1 / 2 : ℝ)) atTop = 0
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