| import Mathlib | |
| namespace OAI | |
| namespace PiExponent | |
| theorem main : | |
| (∀ ν : ℝ, 2 < ν → ∃ Q : ℤ, 2 ≤ Q ∧ | |
| ∀ p q : ℤ, Q ≤ q → | |
| (q : ℝ) ^ (-ν) ≤ |Real.pi - (p : ℝ) / (q : ℝ)|) ∧ | |
| sSup {ν : ℝ | 0 < ν ∧ | |
| Set.Infinite {r : ℚ | 2 ≤ r.den ∧ | |
| 0 < |Real.pi - (r : ℝ)| ∧ | |
| |Real.pi - (r : ℝ)| < (r.den : ℝ) ^ (-ν)}} = 2 := by | |
| sorry | |
| end PiExponent | |
| end OAI | |