Erdős problem 872 · problems.science

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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FormalConjectures/ErdosProblems/

872.lean

Retained formal statement6 of 6

Membership in legalMoves: a legal move is a pool element whose insertion preserves primitiveness.

FormalConjectures/ErdosProblems/872.leanErdos872.mem_legalMoves2 linesExact file

1∀ {n : ℕ} {p : Erdos872.GamePos n} {x : ℕ},2  x ∈ Erdos872.legalMoves p ↔ x ∈ p.pool ∧ Erdos872.IsPrimitive n (insert x p.claimed)

APIStatement only, no proof

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