trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Hook-Block Decomposition

Permutations avoiding 123 and 132 decompose into hook-shaped blocks.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Existence of hook blocks

RELATIONSHIP ATLAS

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Direct recorded relationships
Order Around a MaximumOrder Around a MaximumHook-Block DecompositionHook-Block DecompositionTransfer Between Two Avoidance ClassesTransfer Between Two AvoidanceClassesEnumeration for 1233 and 1322Enumeration for 1233 and 1322
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

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/Nonnesting/NonnestingBasicRoyalHookBlocks
Repository path
D5/S3/Combinatorics/Nonnesting/NonnestingBasicRoyalHookBlocks.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.