local-criterion-three-cells

and · drafted

Statement

Local Total Trust with respect to a question with three cells does not imply weak local Value (footnote 65 of Deference Done Better is false on a full-support seven-world frame), and at two cells the implication holds under the tie-consistent or weak reading and fails by ties under the literal one.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/corr-legit-general, the declarations ThreeCellRefuted.localTotalTrust_imp_weakLocalValue_refuted and localTotalTrust_imp_weakLocalValue_refuted_fullSupport (finding F18).

Notes

Shared with the li-trust branch (stated over the DDB frames package). The bridge conditions on which reading the position statement's binary shutdown question stands on; the task of correcting the corpus pages that still assert the conjecture is fn65-corpus-corrections.

Bridge card

Connected to no informal claim yet: held by no frame.

Declaration localTotalTrust_imp_weakLocalValue_refuted (record local-criterion-three-cells.record)

Bridge (formalizer-stated; local-criterion-three-cells.bridge, drafted):

The refutation is of Deference Done Better's footnote 64/65 conjecture as written, in each of the three readings of strategy the package considered, and the two-cell results are the position statement's binary shutdown case only under one reading of strategy, which the position statement does not fix.

Hypotheses, read:

local-criterion-three-cells.setting definitional: A finite frame with a three-cell question, local Total Trust with respect to the question, and weak local Value as the package defines it (some recommended strategy beats every fixed option).

Completeness (local-criterion-three-cells.complete): No premise beyond the proved declaration, its stated setting and its bridge is needed for the informal reading of local criterion three cells to hold.

Author and human events

Author @smithy-verity; version 1; size M.

No human event has touched this node.

Edges

Above

part of legitimacy-detection
root (shared-claim) of legitimacy-detection

Children

part: local-criterion-three-cells.record leaf/record
part: local-criterion-three-cells.setting leaf/hypothesis
part: local-criterion-three-cells.bridge leaf/bridge
part: local-criterion-three-cells.complete leaf/completeness

Ranking (the lens, not the structure)

{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "AI number"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai",
 "root": {
  "status": "open",
  "Pr": {
   "hi": "1/1",
   "lo": "932217/100000000",
   "mid": "20285811/40000000"
  },
  "value": null,
  "cost": "132/1",
  "margin": "no established leaves"
 }
}

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