claim1-diagonal-illegitimate

leaf/step · drafted

Statement

On the quote-referencing diagonal family the influence defect is eventually at least one half minus delta for every positive delta, so the family is illegitimate.

Source

projects/deference/note-dump-2026-08-11/notes/legitimacy-theory-v1.md, section 3, Claim 1, which the note calls (section 8, item 1) the "Cheapest test of the whole framing"; projects/deference/faf-cleanroom-2026-10-02/packages/legit-li-register/legit-li-register-report.md, defect_ge_half_diagonal, conditional on the (c)-grade hypotheses and flagged because no inhabitant with a diagonal contract exists in the run.

Notes

Conditioned on the inhabitation task: the theorem is proved but vacuous until a sealed system with a diagonal contract is exhibited.

Author and human events

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

No human event has touched this node.

Edges

Above

Ranking (the lens, not the structure)

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 "status": "open",
 "diagnosis": null,
 "flags": [
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  "given task-claim1-inhabitant",
  "held by legitimacy"
 ],
 "V": {
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  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": {
  "J": 0,
  "mid": "7/10",
  "range": [
   "1/5",
   "1/1"
  ],
  "width": "1/1"
 },
 "draft": "ai"
}

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