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Combinatorics / CONCEPT

The Fundamental Bijection and Fixed Avoiders

Standard cycle notation defines the fundamental bijection and its fixed-pattern generating functions.

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DIRECT CONSEQUENCES2
PROOF DEPTH2
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Cyclic Pattern AvoidanceCyclic Pattern AvoidanceThe Fundamental Bijection and Fixed AvoidersThe Fundamental Bijection andFixed AvoidersRecord Bounds and the Inverse BijectionRecord Bounds and the InverseBijectionIterated Pattern Avoidance and Its CountsIterated Pattern Avoidance andIts Counts
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaFixedDefs
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaFixedDefs.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.