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Erdős problem 143

Does this imply that lim inf⁡∣A∩[1,x]∣x=0? \liminf \frac{|A \cap [1,x]|}{x} = 0?

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2 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

143.lean

Retained formal statement1 of 2

Does this imply that lim inf⁡∣A∩[1,x]∣x=0? \liminf \frac{|A \cap [1,x]|}{x} = 0?

FormalConjectures/ErdosProblems/143.leanErdos143.erdos_143.parts.i2 linesExact file
True ↔  ∀ (A : Set ℝ), Erdos143.WellSeparatedSet A → Filter.liminf (fun x => ↑(A ∩ Set.Icc 1 x).ncard / x) Filter.atTop = 0
OpenStatement only, no proof