Problem

erdos:899

True ↔ ∀ (A : Set ℕ), A.Infinite → Filter.Tendsto (fun N => ↑(A ∩ Set.Icc 1 N).ncard / ↑N) Filter.atTop (nhds 0) → Filter.limsup (fun N => ↑((A - A) ∩ Set.Icc 1 N).ncard / ↑(A ∩ Set.Icc 1 N).ncard) Filter.atTop = ⊤

Open Current State

Declared status: proved
Formalization: formalized
Subjects: additive combinatorics
OEIS: N/A
Sources: source:erdos-problemssource:formal-conjectures
Statement: www.erdosproblems.com

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