trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Indecomposability of Pattern Avoiders

For 312- and 231-avoiders, indecomposability is characterized by an extreme endpoint.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Indecomposable 312-avoiders

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Direct recorded relationships
Descending Triples and Direct SumsDescending Triples and DirectSumsIndecomposability of Pattern AvoidersIndecomposability of PatternAvoidersUnique Direct-Sum FactorizationUnique Direct-Sum FactorizationBoundary Entries of Fixed 231-AvoidersBoundary Entries of Fixed231-AvoidersSize Bound for Indecomposable Fixed 312-AvoidersSize Bound for IndecomposableFixed 312-AvoidersThe Entry Following the MaximumThe Entry Following the Maximum
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaBasicSumIndecomp
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaBasicSumIndecomp.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.