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erdos_288.variants.k_intervals

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It is perhaps true with two intervals replaced by any $k$ intervals.

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Lean 4 Statement 
theorem erdos_288.variants.k_intervals : answer(sorry) ↔ ∀ k, Set.Finite { I : Fin k → ℕ+ × ℕ+ |
    ∀ j, (I j).1 ≤ (I j).2 ∧
      ∃ n : ℕ+, (∑ j : Fin k, ∑ nⱼ ∈ Set.Icc (I j).1 (I j).2, (nⱼ⁻¹ : ℚ)) = n }
ID: ErdosProblems__288__erdos_288.variants.k_intervals
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