trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Recovering Balance and Labels

List-level imbalance and label injectivity show that zero-charge paths yield balanced choices without identifying distinct signed sectors.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Choice imbalance equals ordered form flow

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Local Classification of Labelled ChoicesLocal Classification ofLabelled ChoicesEncoding Paths as Zigzag ChoicesEncoding Paths as ZigzagChoicesRecovering Balance and LabelsRecovering Balance and LabelsEven Balanced-Choice CorrespondenceEven Balanced-ChoiceCorrespondenceOdd Balanced-Choice CorrespondenceOdd Balanced-ChoiceCorrespondence
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Zigzag/DecodedBalance
Repository path
D5/S3/Combinatorics/Zigzag/DecodedBalance.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.