trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Two capacities for whole positive-length components

Positive edge lengths allow entire components to be assigned to two groups of controlled total vertex size.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES0
PROOF DEPTH0
DOCUMENT LINKS0
THEOREM

Existence of a whole-component split

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Two capacities for whole positive-length componentsTwo capacities for wholepositive-length components
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

None recorded in this release.

Documents & exposition

None recorded in this release.

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

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.