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Theoremcore

Bouton's theorem

Theorem stating that a Nim position is losing for the player to move exactly when the xor of the pile sizes is zero.

Theorem stating that a Nim position is losing for the player to move exactly when the xor of the pile sizes is zero.

About this page

The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator