trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Positional Constraints in Record Blocks

Simultaneous 132-avoidance of a permutation and its inverse constrains the positions of one and the maximum.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES5
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

The increasing suffix after one

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Partition into Marked IntervalsPartition into Marked IntervalsRecord-Block Characterization of 132-AvoidanceRecord-Block Characterizationof 132-AvoidancePositional Constraints in Record BlocksPositional Constraints inRecord BlocksShape of Parameters with a Final MaximumShape of Parameters with aFinal MaximumLocation of the Parameter MaximumLocation of the ParameterMaximumSplitting at the Final ValueSplitting at the Final ValueAppending a Maximal Fixed PointAppending a Maximal Fixed PointThe Descending Parameter FamilyThe Descending Parameter Family
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIteratePositionBlocks
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIteratePositionBlocks.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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