Alignment Workspace

deconfusing.theorem3a

and · drafted

Statement

Unbiasedness From Feedback is the named hypothesis `Sequential.UnbiasedFromFeedback`, assumed rather than derived (PRIORITIES item 111). limsup in the eventual form `LimsupLE`.

Source

projects/deference/CLAIMS.md, entry deconfusing.theorem3a (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. The signature of Workspace.Deference.Contrib.DeconfusingCorrigibility.Sequential.theorem3a in lean/Workspace/Deference/Contrib/DeconfusingCorrigibility.lean.

Notes

Filed by the map-as-canonical round (prompts/2026-10-22-map-as-canonical) from the registry entry and the declaration's signature; its hypotheses are unread (ruling F1, 2026-10-23): the record's Source carries the signature verbatim, and a reader files the hypothesis leaves. Registry note: Unbiasedness From Feedback is the named hypothesis Sequential.UnbiasedFromFeedback, assumed rather than derived (PRIORITIES item 111). limsup in the eventual form LimsupLE. Inhabited by Witness.theorem3_instance on Witness.sequential (estimates equal to realized scores). The registry's answers_item is the priorities pointer to item 107 (ruling F2).

Bridge card

Connected to no informal claim yet: held by public-corrigibility-line.

Declaration Workspace.Deference.Contrib.DeconfusingCorrigibility.Sequential.theorem3a in lean/Workspace/Deference/Contrib/DeconfusingCorrigibility.lean (record deconfusing.theorem3a.record)

Registry deconfusing.theorem3a: class lean-proved, status active, review ci-only, origin round 2026-10-17-post-companion-formalization; bears on item 107

Bridge (formalizer-stated; deconfusing.theorem3a.bridge, drafted):

The statement of record of `deconfusing.theorem3a` formalizes the registered claim as the registry reads it: Theorem 3(a), Authority: under maximization and Unbiasedness From Feedback, limsup_K (R_K − T_K) ≤ 0.

Hypotheses: unread (the record's Source carries the signature; a reader files them).

Completeness (deconfusing.theorem3a.complete): No premise beyond the signature's binders enters the declaration; the kernel checks it as stated. The result is the record, this leaf and the bridge, and its hypotheses are unread: the record's Source carries the signature verbatim and no hypothesis leaf is filed until a reader files one.

Author and human events

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

No human event has touched this node.

Edges

Above

Children

Work pointers

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "held by public-corrigibility-line",
  "hypotheses unread"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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