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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.

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6 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

872.lean

Retained formal statement1 of 6

Erdős Problem 872, part (i) (weak form): there exists a constant ϵ>0\epsilon > 0 such that the game length is at least ϵn\epsilon \cdot n for all sufficiently large nn.

FormalConjectures/ErdosProblems/872.leanErdos872.erdos_872.parts.i1 lineExact file
True ↔ ∃ ε > 0, ∀ᶠ (n : ℕ) in Filter.atTop, ↑(Erdos872.L n) ≥ ε * ↑n
OpenStatement only, no proof

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