Alignment Workspace

inductor.grounded-survivors

and · drafted

Statement

An occurrence survives iff it is in the grounds, not undercut (own port or a defeater port), kept by settleOutcome, and cites a survivor; the survivors are the least fixed point of activeStep, so undercut, retirement, vacuity and rebuttal propagate along citation chains of every length with no closure on the settlement.

Source

projects/normativity/CLAIMS.md, entry inductor.grounded-survivors (class lean-proved, status active, origin round 2026-10-22-normative-inductor-integration; answers item 112). Documentation: verification: projects/normativity/rounds/2026-10-22-normative-inductor-integration/THEOREM_STORY.md; context: projects/normativity/rounds/2026-10-22-normative-inductor-integration/HANDOFFS.md. The signature of Workspace.Normativity.Contrib.WarrantEntitlement.mem_survivors in lean/Workspace/Normativity/Contrib/WarrantEntitlement.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: An occurrence survives iff it is in the grounds, not undercut (own port or a defeater port), kept by settleOutcome, and cites a survivor; the survivors are the least fixed point of activeStep, so undercut, retirement, vacuity and rebuttal propagate along citation chains of every length with no closure on the settlement. The registry's answers_item is the priorities pointer to item 112 (ruling F2).

Bridge card

Connected to no informal claim yet: held by normative-inductor.

Declaration Workspace.Normativity.Contrib.WarrantEntitlement.mem_survivors in lean/Workspace/Normativity/Contrib/WarrantEntitlement.lean (record inductor.grounded-survivors.record)

Registry inductor.grounded-survivors: class lean-proved, status active, review ci-only, origin round 2026-10-22-normative-inductor-integration; bears on item 112

Bridge (formalizer-stated; inductor.grounded-survivors.bridge, drafted):

The statement of record of `inductor.grounded-survivors` formalizes the registered claim as the registry reads it: the survivors are the grounded fixed point.

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

Completeness (inductor.grounded-survivors.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 normative-inductor",
  "hypotheses unread"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai"
}

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