# LIB2-009 — The complementary tangent plane closes as a Lie-triple system

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.181)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The registered missing-16 tangent plane is a Lie-triple system at the basepoint of E7(7)/SU(8), as reported to machine precision.

## Caution

Local Lie-triple closure does not establish the global embedded quotient or a vector-coupled physical truncation.

## Primary source

Appendix F, §5.3, Missing-16 Lie-triple test, PDF p.187: "The missing-16 IS a Lie-triple system, to machine precision (4.9 × 10−15 over all 1,920 triples)."

## Machine

- url: /library-v2/LIB2-009/
- content_sha256: 474ec0cd2c65ba2bd6d0af39b7cd5e82bc077c49a164b5b33c19e7833ce2304f
- candidate_ids: C2-033

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP