trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Crossing Pattern Tests

New occurrences of 2413 and 2431 after maximum insertion are determined by triples crossing the insertion position.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Occurrences involving the new maximum

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Direct recorded relationships
FishburnBasicFourPatternsFishburnBasicFourPatternsFishburnBasicParentsFishburnBasicParentsCrossing Pattern TestsCrossing Pattern TestsActive Positions in Direct Sums Avoiding 2431 and 3241Active Positions in Direct SumsAvoiding 2431 and 3241Updating Active Positions for 2431 and 3241 AvoidersUpdating Active Positions for2431 and 3241 AvoidersActive Positions for 2413 and 2431 AvoidersActive Positions for 2413 and2431 Avoiders
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FishburnTenThirteen/FishburnBasicTenThirteenPatterns
Repository path
D5/S3/Combinatorics/FishburnTenThirteen/FishburnBasicTenThirteenPatterns.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.