Erdős problem 872
Each move claims exactly one pool element, so the minimax value never exceeds the number of already claimed elements plus the number of still unclaimed elements.
Sources
FormalConjectures/ErdosProblems/
872.lean
Retained formal statement
Erdős Problem 872, part (i) (weak form): there exists a constant such that the game length is at least for all sufficiently large .
True ↔ ∃ ε > 0, ∀ᶠ (n : ℕ) in Filter.atTop, ↑(Erdos872.L n) ≥ ε * ↑nOpenStatement only, no proof