Problem

erdos:741

True ↔ ∀ (A : Set ℕ), 0 < (A + A).upperDensity → ∃ A₁ A₂, A = A₁ ∪ A₂ ∧ Disjoint A₁ A₂ ∧ 0 < (A₁ + A₁).upperDensity ∧ 0 < (A₂ + A₂).upperDensity

Open Current State

Declared status: solved (Lean)
Formalization: formalized
Subjects: additive combinatorics
OEIS: N/A
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjecturessource:jayyhk-erdos-leansource:plby-lean-proofssource:vibemathed
Statement: www.erdosproblems.com

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