trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Low-Arc Insertion

Inserting a low arc preserves circular avoidance of 1324.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Circular avoidance under insertion

RELATIONSHIP ATLAS

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Direct recorded relationships
Cyclic Pattern AvoidanceCyclic Pattern AvoidanceRotations and Circular SubwordsRotations and Circular SubwordsPattern Constraints on Cycle ArcsPattern Constraints on CycleArcsLow-Arc InsertionLow-Arc InsertionDecomposing Padovan Cycle WordsDecomposing Padovan Cycle WordsSuccessors After Low-Arc InsertionSuccessors After Low-ArcInsertion
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/ArcherCyclicTetranacciInsertion
Repository path
D5/S3/Combinatorics/ArcherCyclicTetranacciInsertion.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.