Alignment Workspace

seed.eventually-const

and · drafted

Statement

Along a chain with a monotone raised subset of a finite class and monotone settlement, any quantity computed from the two is eventually constant.

Source

projects/normativity/CLAIMS.md, entry seed.eventually-const (class lean-proved, status active, origin round 2026-10-21-rebuttal-and-end-to-end; answers item 117). Documentation: verification: projects/normativity/seed/rounds/2026-09-16-seed-statics/STABILIZATION.md; context: projects/normativity/rounds/2026-10-21-rebuttal-and-end-to-end/LANDING.md. The signature of Workspace.Normativity.Contrib.SeedStatics.eventually_const_of_finite in lean/Workspace/Normativity/Contrib/SeedStatics.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: Along a chain with a monotone raised subset of a finite class and monotone settlement, any quantity computed from the two is eventually constant. The registry's answers_item is the priorities pointer to item 117 (ruling F2).

Bridge card

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

Declaration Workspace.Normativity.Contrib.SeedStatics.eventually_const_of_finite in lean/Workspace/Normativity/Contrib/SeedStatics.lean (record seed.eventually-const.record)

Registry seed.eventually-const: class lean-proved, status active, review ci-only, origin round 2026-10-21-rebuttal-and-end-to-end; bears on item 117

Bridge (formalizer-stated; seed.eventually-const.bridge, drafted):

The statement of record of `seed.eventually-const` formalizes the registered claim as the registry reads it: conditional stabilization on a finite discovery class.

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

Completeness (seed.eventually-const.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"
}

Say something about it

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