trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Transposition Inside the Active Region

Transposing the labels on an active boundary produces a permutation with the same active rectangles and the same points outside the active region.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

The active-region switch

RELATIONSHIP ATLAS

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Direct recorded relationships
Boundaries of Active Ferrers RegionsBoundaries of Active FerrersRegionsTransposition Inside the Active RegionTransposition Inside the ActiveRegionJoint Symmetry of the Mesh Pattern Pair S21Joint Symmetry of the MeshPattern Pair S21
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/MeshPattern/MeshPatternS21Switch
Repository path
D5/S3/Combinatorics/MeshPattern/MeshPatternS21Switch.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.