Alignment Workspace

shortfall.atom-generable

and · drafted

Statement

Part 2 of the follow-up: `shortAtom j = atom ⟨7, j⟩`, injective; from `encode (atom m) = pair 1 m + 1` and the poly-fuel combinators. Inhabited by `shortAtom_const_codes` and by any poly-fueled option family (`PolyFueled.id`).

Source

projects/deference/CLAIMS.md, entry shortfall.atom-generable (class lean-proved, status active, origin round 2026-10-01-thin-legitimacy-and-effective-authority; answers item 107). Documentation: verification: projects/deference/rounds/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md; context: prompts/2026-10-01-thin-legitimacy-and-effective-authority/FOLLOWUP.md. The signature of Workspace.Deference.Contrib.ShortfallSecurity.shortAtom_codes in lean/Workspace/Deference/Contrib/ShortfallSecurity.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: Part 2 of the follow-up: shortAtom j = atom ⟨7, j⟩, injective; from encode (atom m) = pair 1 m + 1 and the poly-fuel combinators. Inhabited by shortAtom_const_codes and by any poly-fueled option family (PolyFueled.id). 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.ShortfallSecurity.shortAtom_codes in lean/Workspace/Deference/Contrib/ShortfallSecurity.lean (record shortfall.atom-generable.record)

Registry shortfall.atom-generable: class lean-proved, status active, review ci-only, origin round 2026-10-01-thin-legitimacy-and-effective-authority; bears on item 107

Bridge (formalizer-stated; shortfall.atom-generable.bridge, drafted):

The statement of record of `shortfall.atom-generable` formalizes the registered claim as the registry reads it: The shortfall atom family over an efficiently generated family of options is emitted.

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

Completeness (shortfall.atom-generable.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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