trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Cycles from Record Blocks

The inverse fundamental bijection closes consecutive record blocks into cycles.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES10
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

The cycle of a record maximum

RELATIONSHIP ATLAS

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Direct recorded relationships
Record Bounds and the Inverse BijectionRecord Bounds and the InverseBijectionCycles from Record BlocksCycles from Record BlocksPartition into Marked IntervalsPartition into Marked IntervalsReduction along the Distinguished CycleReduction along theDistinguished CycleShape of Parameters with a Final MaximumShape of Parameters with aFinal MaximumLocation of the Parameter MaximumLocation of the ParameterMaximumCycle Compatibility of InsertionCycle Compatibility ofInsertionRecursive Enumeration of First-Endpoint ParametersRecursive Enumeration of First-Endpoint ParametersSplitting at the Final ValueSplitting at the Final ValueAppending a Maximal Fixed PointAppending a Maximal Fixed PointCounting Avoiders with a Maximal TailCounting Avoiders with aMaximal TailThe Descending Parameter FamilyThe Descending Parameter Family
Proof dependencyStructural affinityDocument link

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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
4
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaBasicInverseBlocks
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaBasicInverseBlocks.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.