trureturingGitHub MATHEMATICAL ATLAS

Automata / CONCEPT

A non-Mersenne exception to the Rule 30/22 sign pattern

Refutes the Rule 30/22 Mersenne sign pattern at row 767.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The sign pattern is false

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A non-Mersenne exception to the Rule 30/22 sign patternA non-Mersenne exception to theRule 30/22 sign patternON cells of the Rule 13 cellular automatonON cells of the Rule 13cellular automatonON cells of the Rule 41 cellular automatonON cells of the Rule 41cellular automaton
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

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None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Automata
Node ID
D5/S0/Automata/RuleThirtyTwentyTwoMersenneSignRefutation
Repository path
D5/S0/Automata/RuleThirtyTwentyTwoMersenneSignRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.