trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Splitting at the Largest Value

The largest value begins the final cycle, whose entries have a constrained order.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Appending a new maximum

RELATIONSHIP ATLAS

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Direct recorded relationships
Catalan Orders of the Final CycleCatalan Orders of the FinalCycleFixed Points and the Two Avoidance ConditionsFixed Points and the TwoAvoidance ConditionsSplitting at the Largest ValueSplitting at the Largest ValueReconstructing the Final CycleReconstructing the Final Cycle
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

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Documents & exposition

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/ArrowThirtyTwoOneThreeDecomp
Repository path
D5/S3/Combinatorics/ArrowThirtyTwoOneThreeDecomp.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.