trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Avoidance by Increasing Blocks

A skew sum of increasing blocks avoids 132 and 213.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Increasing blocks avoid both patterns

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Increasing-Block DecompositionIncreasing-Block DecompositionAvoidance by Increasing BlocksAvoidance by Increasing BlocksTransfer Between Two Avoidance ClassesTransfer Between Two AvoidanceClassesEnumeration for 1233 and 1322Enumeration for 1233 and 1322Compositions for a Fixed Dyck ShapeCompositions for a Fixed DyckShapeRotationAvoidanceFibonacciRotationAvoidanceFibonacci
Proof dependencyStructural affinityDocument link

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