trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Splythoff Nim: all Grundy values in every row and column

Every Splythoff Nim row and column contains each Sprague–Grundy value exactly once.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

A finite bound for each row occurrence

RELATIONSHIP ATLAS

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Direct recorded relationships
A counterexample to the printed CRIM formulaA counterexample to the printedCRIM formulaSplythoff Nim: all Grundy values in every row and columnSplythoff Nim: all Grundyvalues in every row and column
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.