trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Actual Realization and Root Activity

Absolute successor words realize actual root-separating colorings, with root activity determined by the initial bit and the word entries.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS0
THEOREM

Even actual coloring

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Recovering Words from Actual SeparationRecovering Words from ActualSeparationThe Actual Disconnection CriterionThe Actual DisconnectionCriterionActual Realization and Root ActivityActual Realization and RootActivityThe Two Native Disconnected CountsThe Two Native DisconnectedCounts
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
9
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Zigzag/DisconnectedRealization
Repository path
D5/S3/Combinatorics/Zigzag/DisconnectedRealization.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.