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erdos_317.variants.claim2

Specification

Is it true that for sufficiently large $n$, for any $\delta_k\in \{-1,0,1\}$, \[\left\lvert \sum_{1\leq k\leq n}\frac{\delta_k}{k}\right\rvert > \frac{1}{[1,\ldots,n]}\] whenever the left-hand side is not zero?

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Lean 4 Statement 
theorem erdos_317.variants.claim2 : answer(sorry) ↔
    ∀ᶠ n in atTop, ∀ δ : (Fin n) → ℚ, δ '' Set.univ ⊆ {-1,0,1} →
    letI lhs
ID: ErdosProblems__317__erdos_317.variants.claim2
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