trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Native full completion with exactly two physical SMALL labels

Native full completion with exactly two physical SMALL labels

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH5
DOCUMENT LINKS0
THEOREM

Physical phase is cyclic addition

RELATIONSHIP ATLAS

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Direct recorded relationships
Zero-sum word countsZero-sum word countsFull source completion from one actual opposite pairFull source completion from oneactual opposite pairPlacing two SMALL occurrences across two free gapsPlacing two SMALL occurrencesacross two free gapsNative full completion with exactly two physical SMALL labelsNative full completion withexactly two physical SMALLlabelsIsolated SMALL labels with no bound on their numberIsolated SMALL labels with nobound on their numberThree-small block placement in the sixfold normalizationThree-small block placement inthe sixfold normalization
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

None recorded in this release.

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Circle/TwoSmallSource
Repository path
D5/S3/Combinatorics/Circle/TwoSmallSource.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.