# C330 — Dependency and 600 transport: source review

**Both named modes have rank 9 for the 13 held endpoint-difference constraints. Adding the 25 residual edges adds no rank.** A valid nine-edge basis is the four adjacent SP biography edges plus five same-role SP→MT 460 edges; the four adjacent MT edges then follow. The review independently confirms this account and the field transport in 26 checks.

Rank counts coordinate constraints, not independent historical witnesses or distinct source constants. The repeated 460 value is one held context difference appearing in several coordinate equations. The one-dimensional common-translation nullspace of difference equations does not authorize a new placement: the source coordinates remain fixed.

## The two 600 relations retain different source identities

| Component map | Source meaning | File18 support |
|---|---|---|
| SP/MT Noah birth → corresponding Flood start | Noah's age 600 at the Flood | Lines1237–1238;1476–1484 |
| SP/MT Shem birth → corresponding Shem death | Shem's lifespan 600 | Lines1244;1575–1581 |

Together these facts carry the four-coordinate birth field to the Flood/death field by 600 componentwise, in both the 500/100 and 502/98 modes. The same inherited actual phase is retained. This is a finite role-qualified relation assembled from **two different source facts**, not a new global 600 translation operator or an identification of Noah's age with Shem's lifespan.

The resulting 500 fields or 502 fields are dependent consequences of their respective admitted biographies. Their repeated appearance after 600 does not supply another numerical witness. Source qualifications remain attached to each endpoint, including SP primary Noah death in the complete biography constraint system.

## Modal and ancestry limits

The 502/98 mode retains G2 Noah/Flood and G1 Shem birth/death under the explicit modal permission of File18 lines755–771,1254–1282, and1587–1594. It is not a coherent single-Gear biography. Its 502 field must not be relabelled as C314's exact 500 reversal or treated as satisfying that construction's original index/ancestry requirements.

Equal actual output phases do not collapse cumulative ancestry. In particular, the prior Noah and Flood targets have different cumulative source roles; the numerical 600 field relation does not merge those paths. No new E prescription, source selector, historical priority, or independent witness follows. **C331 was not executed.**