Expositions · Premise notes · PRM-009
PRM-009 · Basepoint / tensor equivalence
Register page /premises/PRM-009/ · kind FENCE · claims declared to rest on it today: none
Drafted by the ChatGPT drafting lane (A1634), verified by the house, published under R76, R78 and R81; house insertions are marked. What a premise note is.
Premise
Register corrected — R81 (D8, S327j). The PI ruled this correction to the register row (Trackers/RULING_R81_S327_PREMISE_REGISTER.md). Statement now (PRM-009/r1,appendix_t_cartan_observation.tex:922, qualityEXTRACTION_VERBATIM):Tensor equivalence is not intrinsic basepoint selection;. Kind nowFENCE(wasADOPTED_PREMISE). The register row the drafting lane quotes below is the row as it was supplied to the lane, before R81; it is kept in the register's history (R29: nothing is overwritten).
Register kind: ADOPTED_PREMISE. Located suite statement:
Tensor equivalence is not intrinsic basepoint selection;
Appendix T · Reading rule and scope · PDF p.314 · appendix_t_cartan_observation.tex:922.
The registered excerpt and/or kind needs the scope clarification below; the registry itself is not edited.
What kind of premise this is
The register labels this ADOPTED_PREMISE, but the located sentence is a scope distinction. It prevents a transported tensor equivalence from being presented as an intrinsic selector. It does not itself supply a basepoint, an observation map, or a new coefficient. The nearby declared amplitude premise is a different item and must not be substituted for this register row. Source status words: Reading rule and scope. (appendix_t_cartan_observation.tex:919).
Where the suite invokes it
Located invocations in the read excerpts, not an exhaustive full-source-tree census. Pages refer to saved Rev32.7 page-delimited text, not PDF-image authentication.
| # | locator | quote (verbatim, ≤ 30 words) | role | argument |
|---|---|---|---|---|
| 1 | appendix_t_cartan_observation.tex:922Appendix T · Reading rule and scope · PDF p.314 | Tensor equivalence is not intrinsic basepoint selection; | STATED | Carrier-arc scope distinction |
Arguments that rest on it
NO RECORD — carrier-arc reading rule, appendix_t_cartan_observation.tex:919–926. No load-bearing hypothesis/result pair is identified for this fence; no ADD is submitted. The missing intrinsic selection should not be converted into an assumed selection.
What breaks without it
NOT ASSESSED — the suite does not formulate a theorem obtained by assuming this negative scope sentence, or compute a failure after deleting it. What the sentence prohibits is a change of interpretation from carrier equivalence to intrinsic selection.
Registrar sync
Registrar state after R76, R78 and R82 (S327j, master0e1418ad6501767d). Declared today: none (UNKNOWN, not INDEPENDENT). The lane's lines below describe the master as it was supplied to the lane (d0aa26db154ff43f), before these changes.
Declared today in the supplied material, Registrar master d0aa26db154ff43f: none (UNKNOWN, not INDEPENDENT). Draft dispositions — no ADD, CONFIRM or DISPUTE row; there is no declared edge to adjudicate. Unbound NO RECORD arguments are not graph ADDs. No declared or candidate edges are supplied. Nearby channel, amplitude and spectral-pair statements name other objects; they are not dependency evidence for this fence.
Tier and what this does not show
A premise is not a result, and invocation count is not importance. An ADD remains a proposal until house verification under R76; a DISPUTE goes to the PI. No record or premise is upgraded, downgraded, or edited. Unlocated dependencies remain unknown.
Sources
TeX: appendix_t_cartan_observation.tex:919; appendix_t_cartan_observation.tex:919–926; appendix_t_cartan_observation.tex:922. Registrar: no carrying record identified in the supplied material. Premise: PRM-009. Suite-cited kernels: s1148, s1150, s1152, s1153.
Built by scripts/premise_notes_build.py from Coalition/library/textbook/premise_notes (MANIFEST verified) · Registrar master sha256 e64bfa7ef06444bf9ebd1abb9bf2c9b7562264ad903d1f881f65c38a19ce07be
BUILD_STAMP S328a · 2026-09-11 19:00Z · master e64bfa7ef06444bf · cut 9dcc6ce9a8ee3e02