{
 "id": "LIB2-035",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The banked non-degenerate stability conditions leave an interior",
 "statement": "The banked non-degenerate PSD/stability inequalities have non-empty interior, leaving a 6-dimensional feasible set before the scale quotient and a 5-dimensional set after it; they do not select a ray.",
 "scope": {
  "carrier": "The coefficient tuple (t,t2,u,v,w,z)",
  "domain": "The particular non-degenerate inequality system, not inequalities in general.",
  "group": null,
  "hypotheses": [
   "Use the five inequalities printed in Appendix E §8.",
   "The displayed strict-interior witness is (1,1,1,1,1,0)."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 171
 },
 "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 E",
  "section": "§8, Corrected non-degenerate positivity argument",
  "pdf_page": 178,
  "quote": "the feasible set is 6-dimensional before the scale quotient and 5- dimensional after it, and cannot select a ray."
 },
 "caution": "Degenerate inequalities can encode equalities, so this result is not a universal ban on dimension-reducing inequality constraints.",
 "candidate_ids": [
  "C2-121"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-033"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-035/",
 "content_sha256": "4f2f1cde39cc082f4dbfcad0d84d333188aca6950370608df622b2e824b48a7a",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}