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erdos_495

Specification

Let $\alpha,\beta \in \mathbb{R}$. Is it true that\[\liminf_{n\to \infty} n \| n\alpha \| \| n\beta\| =0\]? This is also known as the Littlewood conjecture.

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Lean 4 Statement 
theorem erdos_495 : answer(sorry) ↔ ∀ α β : ℝ, liminf (fun n : ℕ ↦ (n : ℝ) * distNearestInt (n * α)
  * distNearestInt (n * β)) atTop = 0
ID: ErdosProblems__495__erdos_495
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