Alignment Workspace

coherence.modulus-net-cover.record

leaf/record · drafted

Statement

The declaration Workspace.Normativity.Contrib.CoherenceModulus.gap_le_of_net_cover is accepted by the Lean kernel in the repository's Lean library.

Source

projects/normativity/CLAIMS.md, entry coherence.modulus-net-cover (class lean-proved, status active, origin round 2026-08-16-traderized-enforcement; answers item 42). Documentation: verification: projects/normativity/notes/GENERALIZED_LI_PAPER_HANDOFF.md; context: projects/normativity/rounds/2026-08-16-traderized-enforcement/PROOF_CLOSURE.md. The signature of Workspace.Normativity.Contrib.CoherenceModulus.gap_le_of_net_cover (theorem) in lean/Workspace/Normativity/Contrib/CoherenceModulus.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):

(coords : Finset κ) (worlds : Finset ι) (Wld : ι → κ → ℚ) (p : κ → ℚ) (low : (κ → ℚ) → ℚ) (net : Set (κ → ℚ)) (hlow_le : ∀ c, ∀ w ∈ worlds, low c ≤ pair coords c (Wld w)) (hlow_att : ∀ c, ∃ w ∈ worlds, low c = pair coords c (Wld w)) (hcube : ∀ w ∈ worlds, ∀ k ∈ coords, |Wld w k - p k| ≤ 1) {δ mesh : ℚ} (hmesh : 0 ≤ mesh) (hconf : ∀ c' ∈ net, gap coords low p c' ≤ δ) (hcover : ∀ c : κ → ℚ, l1 coords c ≤ 1 → ∃ c' ∈ net, l1 coords (fun k => c k - c' k) ≤ mesh) : ∀ c : κ → ℚ, l1 coords c ≤ 1 → gap coords low p c ≤ δ + mesh

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"
}

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