Alignment Workspace

kernel.box2-dominance.record

leaf/record · drafted

Statement

The declaration Workspace.Deference.Headline.box2_dominance is accepted by the Lean kernel in the repository's Lean library.

Source

projects/deference/CLAIMS.md, entry kernel.box2-dominance (class lean-proved, status active, origin round 2026-09-27-corrigibility-kernel-phase2; answers item 104). Documentation: verification: projects/deference/rounds/2026-09-27-corrigibility-kernel-phase2/SPEC.md; context: prompts/2026-09-27-corrigibility-kernel-phase2/REPORT.md. The signature of Workspace.Deference.Headline.box2_dominance (theorem) in lean/Workspace/Deference/Spec/Headline.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):

(μ : X → ℝ) (hμ : ∀ x, 0 ≤ μ x) (ϖ D wlo : ℝ) (hϖ0 : 0 ≤ ϖ) (ordT ordπ nπ : X → ℝ) (viol : X → Bool) (hagree : ∀ x, viol x = false → ordT x = ordπ x ∧ nπ x = 0) (hviol : ∀ x, viol x = true → 1 ≤ nπ x ∧ wlo ≤ ordT x ∧ ordπ x ≤ D) : expectR μ (fun x => score ϖ (ordT x) 0) - expectR μ (fun x => score ϖ (ordπ x) (nπ x)) ≥ (ϖ - (D - wlo)) * expectR μ (fun x => indR (viol x))

Author and human events

Author @smithy-verity; version 1; size S.

No human event has touched this node.

Edges

Above

Ranking (the lens, not the structure)
{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "hypotheses unread",
  "no belief"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 4,
  "weaker": "ref"
 },
 "belief": null,
 "draft": "ai"
}

Say something about it

Each verb opens a prefilled issue; a round files what lands as the ledger event it is.

comment · challenge · estimate · want