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erdos_298.variants.upper_density
Specification
In [Bl21] it is proved under the weaker assumption that `A` only has positive upper density.
Lean 4 Statement
theorem erdos_298.variants.upper_density : answer(True) ↔ (∀ (A : Set ℕ), 0 ∉ A → 0 < A.upperDensity →
∃ (S : Finset ℕ), ↑S ⊆ A ∧ ∑ n ∈ S, (1 / n : ℚ) = 1)
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