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fix(ErdosProblems/289): assume intervals are non-overlapping #1574

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Merged
YaelDillies merged 2 commits into from
Jan 14, 2026
Merged

fix(ErdosProblems/289): assume intervals are non-overlapping #1574

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ee2e80a
Update 289.lean
CoolRmal Jan 8, 2026
45aa191
Update 289.lean
CoolRmal Jan 14, 2026
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3 changes: 2 additions & 1 deletion FormalConjectures/ErdosProblems/289.lean
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Expand Up @@ -34,7 +34,8 @@ $$
@[category research open, AMS 11]
theorem erdos_289 : answer(sorry) ↔
(∀ᶠ k : ℕ in atTop, ∃ I : Fin k → Finset ℕ,
(∀ i, 2 ≤ #(I i) ∧ ∃ a b, 0 < a ∧ I i = Finset.Icc a b) ∧
(∀ i, 2 ≤ #(I i) ∧ ∃ a b, I i = Finset.Icc a b) ∧
(∀ i j, i ≠ j → ∀ x ∈ I i, ∀ y ∈ I j, x + 1 < y ∨ y + 1 < x) ∧
∑ i, ∑ n ∈ I i, (n⁻¹ : ℚ) = 1) := by
sorry

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