{
 "id": "LIB2-009",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The complementary tangent plane closes as a Lie-triple system",
 "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.",
 "scope": {
  "carrier": "Registered missing-16 tangent plane",
  "domain": "The local tangent-plane computation in Appendix F §5.3 and Paper 4 §4.2.",
  "group": "E7(7)",
  "hypotheses": [
   "The basepoint, tangent plane and registered ambient brackets are fixed."
  ],
  "physical_target": null,
  "quantifier": "The named tangent plane at the basepoint.",
  "real_form": "E7(7)/SU(8)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 181
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix F",
  "section": "§5.3, Missing-16 Lie-triple test",
  "pdf_page": 187,
  "quote": "The missing-16 IS a Lie-triple system, to machine precision (4.9 × 10−15 over all 1,920 triples)."
 },
 "caution": "Local Lie-triple closure does not establish the global embedded quotient or a vector-coupled physical truncation.",
 "candidate_ids": [
  "C2-033"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-007"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-009/",
 "content_sha256": "474ec0cd2c65ba2bd6d0af39b7cd5e82bc077c49a164b5b33c19e7833ce2304f",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}