LeanPool.Monsky.MainStatement #
Imported Lean Pool material for LeanPool.Monsky.MainStatement.
theorem
LeanPool.Monsky.monsky_theorem
(n : ℕ)
:
(∃ (S : Finset (Fin 3 → EuclideanSpace ℝ (Fin 2))),
closedHull unitSquare = ⋃ Δ ∈ S, closedHull Δ ∧ (↑S).PairwiseDisjoint openHull ∧ (∀ Δ₁ ∈ S, ∀ Δ₂ ∈ S, MeasureTheory.volume (openHull Δ₁) = MeasureTheory.volume (openHull Δ₂)) ∧ S.card = n) ↔ n ≠ 0 ∧ Even n