trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Explicit families and first-entry bounds

Seven explicit permutation families, prefix and position bounds on indecomposable square-avoiders, and the classifications for first entry two and first entry three.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH8
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THEOREM

Prefix criterion and structural bounds on indecomposable square-avoiders

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The corrected counting recurrenceThe corrected countingrecurrenceExplicit families and first-entry boundsExplicit families and first-entry boundsFirst entry four and complete classificationFirst entry four and completeclassification
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Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/PermutationSquare/PermutationSquareFamilies
Repository path
D5/S3/Combinatorics/PermutationSquare/PermutationSquareFamilies.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.