trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Increasing-Block Decomposition

Permutations avoiding 132 and 213 decompose into increasing blocks with decreasing value ranges.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Existence of increasing blocks

RELATIONSHIP ATLAS

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Direct recorded relationships
Separation at DescentsSeparation at DescentsIncreasing-Block DecompositionIncreasing-Block DecompositionAvoidance by Increasing BlocksAvoidance by Increasing Blocks
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Nonnesting/NonnestingBasicRoyalIncBlocks
Repository path
D5/S3/Combinatorics/Nonnesting/NonnestingBasicRoyalIncBlocks.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.