trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Counting Avoiders with a Maximal Tail

Removing a final maximum preserves every 132-avoidance layer.

Closed Authored exposition
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

The count after removing a final maximum

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Direct recorded relationships
Cycles from Record BlocksCycles from Record BlocksPartition into Marked IntervalsPartition into Marked IntervalsIterated Pattern Avoidance and Its CountsIterated Pattern Avoidance andIts CountsSplitting at the Final ValueSplitting at the Final ValueAppending a Maximal Fixed PointAppending a Maximal Fixed PointCounting Avoiders with a Maximal TailCounting Avoiders with aMaximal TailDecomposition of the Second Avoidance LayerDecomposition of the SecondAvoidance Layer
Proof dependencyStructural affinityDocument link

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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
8
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateTailCount
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateTailCount.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.