trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Moving one LARGE label across an arbitrary mixed suffix

Retained LARGE exchange: retain an actual later same-sign LARGE after a native even expanding path, deriving its new gate and strict (G,H,U) descent with exact physical inventory.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

E_keep_one with the proved singleton gate and exact energy cancellation

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Energy before SMALL count: the physical mixed-suffix exchangeEnergy before SMALL count: thephysical mixed-suffix exchangeMoving one LARGE label across an arbitrary mixed suffixMoving one LARGE label acrossan arbitrary mixed suffix
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

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.