trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Compositions for a Fixed Dyck Shape

Permitted ascent positions parametrize the avoiders of a fixed Dyck shape.

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DIRECT PREREQUISITES5
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS1

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Permutation and Dyck-Path EncodingPermutation and Dyck-PathEncodingSeparation at DescentsSeparation at DescentsAvoidance by Increasing BlocksAvoidance by Increasing BlocksDyck Shape of a Doubled WordDyck Shape of a Doubled WordAvoidance from Permitted GapsAvoidance from Permitted GapsCompositions for a Fixed Dyck ShapeCompositions for a Fixed DyckShapeEnumeration for 1132 and 2213Enumeration for 1132 and 2213
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Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Nonnesting/NonnestingRoyalLowFiber
Repository path
D5/S3/Combinatorics/Nonnesting/NonnestingRoyalLowFiber.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.