PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 2 of 2 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-b304070b36127f2f29415939 · master 7570ddad604d5b37 · S342.

LIB2-035 · The banked non-degenerate stability conditions leave an interior

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.171 (bytes of record)):

the feasible set is 6-dimensional before the scale quotient and 5- dimensional after it, and cannot select a ray.

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.

Parts of the statement (3)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

p1 · The banked non-degenerate PSD/stability inequalities have non-empty interior (one claim)
p2 · leaving a 6-dimensional feasible set before the scale quotient and a 5-dimensional set after it (one claim)
p3 · they do not select a ray. (one claim)

Scope

carrier	The coefficient tuple (t,t2,u,v,w,z)
domain	The particular non-degenerate inequality system, not inequalities in general.
hypotheses	Use the five inequalities printed in Appendix E §8.; The displayed strict-interior witness is (1,1,1,1,1,0).
quantifier	The declared class only.

What this does not show. Degenerate inequalities can encode equalities, so this result is not a universal ban on dimension-reducing inequality constraints.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Appendix E, §8, Corrected non-degenerate positivity argument — PDF p.178 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the feasible set is 6-dimensional before the scale quotient and 5- dimensional after it, and cannot select a ray.

Appendix E, §8, Degenerate systems and the full-support target — PDF p.178 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Fchar is interior only among the four minimal-word inequalities: in the five-inequality cone it lies on the face t2 = 0 (slacks 1, 49 , 59 , 17 27 , 0), which Appendix S requires for Φdiag . That face contains the target without selecting it; any other forced degeneracy face would exclude it (Rev32.9, A1637).

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	D1220/A1533, Appendix E §8(a), p.171	—	shipped	The source supplies a strict-interior witness and the corrected scope; this is not a new feasibility calculation.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printed	page	digit source
`6`	PDF p.171 (bytes of record)	suite text p.171 only (no kernel line found)
`5`	PDF p.171 (bytes of record)	suite text p.171 only (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-033 The banked refined-condition inventory does not select Φdiag	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0081
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0128
`cited_by_section`	E-C04.2.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0098
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0151

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (1)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	PASS	exercised
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedents	no legacy antecedent identified
Track-2 claim ids	C-FSEL-C-01 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record.
serials	D1220 A1533
candidate ids (frozen list S304)	C2-121

Drafting-lane note

Additional current-statement child of C2-121, distinct from the retired universal cone claim. The source witness is cited rather than recomputed.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 4f2f1cde39cc082f4dbfcad0d84d333188aca6950370608df622b2e824b48a7a

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-035 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02