trureturingGitHub MATHEMATICAL ATLAS

Topology / CONCEPT

First-return matching composition

The actual finite first-return pairing is exactly the outer partner relation of a glued matching network.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Completeness of the actual endpoint pairing

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Finite Alternating Paths and Endpoint PairingFinite Alternating Paths andEndpoint PairingProduct Orbits of Two Perfect MatchingsProduct Orbits of Two PerfectMatchingsFinite matching networks and series contractionFinite matching networks andseries contractionFirst-return matching compositionFirst-return matchingcompositionSewing inventories and cyclic closureSewing inventories and cyclicclosure
Proof dependencyStructural affinityDocument link

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Topology
Node ID
D5/S3/Topology/FiniteMatchingComposition
Repository path
D5/S3/Topology/FiniteMatchingComposition.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.