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Erdős problem 158

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Let A be an infinite B₂[2] set. Must liminf |A ∩ {1, ..., N}| * N ^ (- 1 / 2) = 0?

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4 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

158.lean

Retained formal statement2 of 4

Let A be an infinite B₂[2] set. Must liminf |A ∩ {1, ..., N}| * N ^ (- 1 / 2) = 0?

FormalConjectures/ErdosProblems/158.leanErdos158.erdos_1583 linesExact file
True ↔  ∀ (A : Set ℕ),    A.Infinite → Erdos158.B2 2 A → Filter.liminf (fun N => ↑(A ∩ Set.Iio N).ncard * ↑N ^ (-1 / 2)) Filter.atTop = 0
OpenStatement only, no proof