Alignment Workspace

convergence.discord-pairwise

and · drafted

Statement

The common interval is empty iff some pair of reasoners has disjoint intervals; merged infeasibility is not pairwise, which is item 119.

Source

projects/normativity/CLAIMS.md, entry convergence.discord-pairwise (class lean-proved, status active, origin round 2026-10-21-rebuttal-and-end-to-end; answers item 119). Documentation: verification: projects/normativity/seed/rounds/2026-09-17-convergence-measure/MANY.md; context: projects/normativity/rounds/2026-10-21-rebuttal-and-end-to-end/LANDING.md. The signature of Workspace.Normativity.Contrib.ConvergenceMeasure.discord_iff_pair in lean/Workspace/Normativity/Contrib/ConvergenceMeasure.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: The common interval is empty iff some pair of reasoners has disjoint intervals; merged infeasibility is not pairwise, which is item 119. The registry's answers_item is the priorities pointer to item 119 (ruling F2).

Bridge card

Connected to no informal claim yet: held by seed-theory.

Declaration Workspace.Normativity.Contrib.ConvergenceMeasure.discord_iff_pair in lean/Workspace/Normativity/Contrib/ConvergenceMeasure.lean (record convergence.discord-pairwise.record)

Registry convergence.discord-pairwise: class lean-proved, status active, review ci-only, origin round 2026-10-21-rebuttal-and-end-to-end; bears on item 119

Bridge (formalizer-stated; convergence.discord-pairwise.bridge, drafted):

The statement of record of `convergence.discord-pairwise` formalizes the registered claim as the registry reads it: discord is pairwise (Helly in dimension one).

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

Completeness (convergence.discord-pairwise.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 seed-theory",
  "hypotheses unread"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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