certificate.defect-bound.record
leaf/record · drafted
Statement
The declaration Workspace.Deference.Contrib.CertificateBounds.defect_bound is accepted by the Lean kernel in the repository's Lean library.
Source
projects/deference/CLAIMS.md, entry certificate.defect-bound (class lean-proved, status active, origin round 2026-08-11-phase-ii-promotion; answers item 23). Documentation: verification: prompts/2026-08-11-phase-ii-promotion/REPORT.md; context: prompts/2026-08-11-deference-certificates/REPORT.md. The signature of Workspace.Deference.Contrib.CertificateBounds.defect_bound (theorem) in lean/Workspace/Deference/Contrib/CertificateBounds.lean, verbatim, binders included (ruling F1, 2026-10-23: the hypotheses are unread, and this text is what a reader files them from):
{p η : Ω → ℚ} {v vh : Ω → P → ℚ} {J : Ω → P} {j : P} {S : Finset Ω} {γ ε B : ℚ} (hp : ∀ ω, 0 ≤ p ω) (hη : ∀ ω, 0 ≤ η ω) (herr : ∀ ω π, |v ω π - vh ω π| ≤ η ω) (hbound : ∀ ω π, |v ω π| ≤ B) (hmargin : ∀ ω ∈ S, ∀ π, π ≠ j → vh ω π + γ ≤ vh ω j) (hJ : ∀ ω π, v ω π ≤ v ω (J ω)) (hB : 0 < B) (hγ : 0 ≤ γ) (hTR : ∑ ω, p ω η ω ≤ ε) : defect p v J j S ≤ 4 B ε / (2 B + γ)
Author and human events
Author @smithy-verity; version 1; size S.
No human event has touched this node.
Edges
Above
- part of certificate.defect-bound
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.