Alignment Workspace

progress.edge-bound-quadratic

and · drafted

Statement

With intensity-normalized service weights and the uptake certificate `λ_s d_s² ≤ ρ_s`, the first term is `Γ √(Σρ/Σλ)`. Inhabited by `edge_progress_witness` with all three terms positive.

Source

projects/normativity/CLAIMS.md, entry progress.edge-bound-quadratic (class lean-proved, status active, origin round 2026-09-06-mathematical-consolidation; answers item 78). Documentation: verification: projects/normativity/legitimacy/rounds/2026-09-06-mathematical-consolidation/THEOREMS.md; context: projects/normativity/legitimacy/rounds/2026-09-06-mathematical-consolidation/CONSOLIDATION.md. The signature of Workspace.Normativity.Contrib.NormativeInductorComposition.edge_progress_bound_quadratic in lean/Workspace/Normativity/Contrib/NormativeInductorComposition.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: With intensity-normalized service weights and the uptake certificate λ_s d_s² ≤ ρ_s, the first term is Γ √(Σρ/Σλ). Inhabited by edge_progress_witness with all three terms positive. The registry's answers_item is the priorities pointer to item 78 (ruling F2).

Bridge card

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

Declaration Workspace.Normativity.Contrib.NormativeInductorComposition.edge_progress_bound_quadratic in lean/Workspace/Normativity/Contrib/NormativeInductorComposition.lean (record progress.edge-bound-quadratic.record)

Registry progress.edge-bound-quadratic: class lean-proved, status active, review ci-only, origin round 2026-09-06-mathematical-consolidation; bears on item 78

Bridge (formalizer-stated; progress.edge-bound-quadratic.bridge, drafted):

The statement of record of `progress.edge-bound-quadratic` formalizes the registered claim as the registry reads it: the quadratic Progress bound.

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

Completeness (progress.edge-bound-quadratic.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"
}

Say something about it

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