# 490d C465 — LXX-OFF Alias Dependence Versus Coordinate Dependence

25 September 2026 UTC. Step 21 of 25, C445–C469.

Removing72 theoretical LXX-OFF labels leaves456 labels at all373 coordinates. All245 operator arrows and all60 direct529 pairs survive; labelled529 assignments fall119→88. The full two-E ladder retains one complete MT/SP source assignment instead of eight alias combinations. Its source support does not depend solely on LXX-OFF.

This control discards only LXX records with Cainan OFF, leaving SP, MT and native-LXX records as they stand. Every discarded coordinate still has another source label, so the coordinate graph and shared-word interval closure remain exactly the same.

| Witness | Full-register assignments | After LXX-OFF removal |
|---|---:|---:|
|Shorter2K ladder|4|1|
|Complete two-E ladder|8|1|
|Ordinary reflection cycle|8|1|
|Mixed E cycle|12|12|

An assignment here chooses one record for each distinct coordinate. Repeated appearances of3206 are bound to the same chosen record; they are not counted independently. The mixed cycle’s native LXX-Cainan-ON alternatives remain, explaining its unchanged count.

Together with C464, this separates two effects. SP-companion3620 supplies unique required pivot support. LXX-OFF supplies alternative labels at already supported coordinates. The complete ladder can therefore be written as an explicit MT/SP witness, with all qualifiers visible. That compact provenance record is the next useful deliverable for review and continuation.

## Verification and scope

2 calculation checks and 21 source/predecessor authentication checks passed. Main result files replay byte for byte. These are root-agent checks, not an independent-agent review or independent historical witnesses.

The theoretical LXX-OFF states remain valid project comparison states. This control does not delete them from the active register or treat native and removal states as interchangeable.

Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.

## Best next bounded step

**C466, proposed and unexecuted:** Build the minimal source-provenance card for the seven distinct coordinates of the complete2K ladder, verify each against the controlling source excerpts, and solve its two pivots directly from the endpoint arrows.

The sensitivity controls identify the essential and optional source supports. A seven-coordinate source card can now present the positive result without alias inflation or buried phase/context assumptions.