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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-d6e5959473921e30e45b43d0 · master f97433d9e6ce3586 · S339.

LIB2-254 · Withdrawn universal claim that inequality conditions cannot reduce dimension

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The earlier selector argument ruled out every positivity or stability refinement on the premise that inequality conditions cannot reduce dimension.

Scope

domain	The universal inequality argument, not the bounded conclusion for the banked non-degenerate stability conditions.

What this does not show. The withdrawal does not make the tested stability conditions select a ray or derive the adopted action-shape principle.

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, Selection frontier F-SEL(c), withdrawal (a) — PDF p.178 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The house’s universal cone claim is withdrawn. An earlier banked argument held that no positivity- or stability-type refinement could answer the question because inequality conditions cannot reduce dimension.

Appendix E, Selection frontier F-SEL(c), corrected quantifier — PDF p.178 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Degenerate systems can lower dimension in principle, so any proposed selector must derive its everywhere-active equality locus independently and clear the circularity bar.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	D1220/A1533; Appendix E selection-frontier ruling, p.171	—	shipped	The source gives a degenerate-inequality counterexample and confines the surviving obstruction to the banked class. No feasibility or dimension calculation is performed here.

What was said, and what retired it

historical statement	No positivity- or stability-type refinement can select the target because inequality conditions cannot reduce dimension.
where it stood	Earlier banked universal cone argument, quoted in Appendix E p.171; C2-121
retiring decision	F-SEL(c) scoped closure, S287.9–.11, D1220/A1533; Appendix E p.171
what the suite prints now	Degenerate systems can lower dimension in principle, so any proposed selector must derive its everywhere-active equality locus independently and clear the circularity bar. PDF p.171 (bytes of record)
successor records	LIB2-035 The banked non-degenerate stability conditions leave an interior, LIB2-033 The banked refined-condition inventory does not select Φdiag
why retired	scope_narrowing — from the record's own words: `SCOPE` → "scoped closure"

A successor is linked, never "derived from" the retired statement (charter §10.10).

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`	N/A	class RETIRED not governed by the source_labels rule
`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

C2-121 retirement child. The current non-degenerate interior result and the closed banked inventory keep their own quantifiers. A possible degenerate equality locus is not a new selector supplied here.

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 83af17c3ffa01cc5bce0d979c52867dc9ccfde1203822968f01940ece75a84ca

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-254 | 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