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deconfusing.theorem1.bridge

leaf/bridge · drafted

Statement

The statement of record of `deconfusing.theorem1` formalizes the registered claim as the registry reads it: Theorem 1 (three ranges): a violated history scores at most 1 − λ < −δ; a violation-free illegitimate history scores in [−δ, 0); a violation-free legitimate history scores in [0, 1].

Source

projects/deference/CLAIMS.md, entry deconfusing.theorem1 (class lean-proved, status active, origin round 2026-10-17-post-companion-formalization; answers item 107). Documentation: verification: prompts/2026-10-17-post-companion-formalization/REPORT.md; context: prompts/2026-10-17-post-companion-formalization/PROMPT.md; companion: wiki/Deconfusing-Corrigibility-Companion.md. Short name: Theorem 1 (three ranges): a violated history scores at most 1 − λ < −δ; a violation-free illegitimate history scores in [−δ, 0); a violation-free legitimate history scores in [0, 1]. Conclusion of the signature: ((1 ≤ Sc.N h → Sc.S h ≤ 1 - Sc.lam) ∧ 1 - Sc.lam < -Sc.δ) ∧ (Sc.N h = 0 ∧ ¬ Sc.Legit h → -Sc.δ ≤ Sc.S h ∧ Sc.S h < 0) ∧ (Sc.N h = 0 ∧ Sc.Legit h → 0 ≤ Sc.S h ∧ Sc.S h ≤ 1).

Author and human events

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

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Edges

Above

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "attribution unvetted",
  "no belief"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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