Proving
Proving
Lean4 axiomatic kernel for the legal domain. RICO + Title VI + §§ 1981/1983/1985(3). Predicates return ⟨bool, evidence, citation⟩; the kernel does no I/O. Each verifier run produces a per-predicate report.json + proof-DAG graph.json + intro-rule loci.json — surfaced here as the recent-runs table + latest-run diagram + predicate roster.
Correction ·
Agreement-tier figures withdrawn pending re-verification
What we found. Our own adversarial review lane found leak channels in the cross-axis agreement oracle that classifies our Tier-A/B/C figures. The fan-out agents that are supposed to agree independently could, in principle, see each other's work — so blind agreement was never established for any wave.
What survives. Kernel soundness is unaffected and mechanically re-checked: every lake build, every sorry-free proof still stands. You cannot leak your way into a green build — the encoded work is real. Only the agreement-based confidence is in question.
What is withdrawn. The agreement-based tier counts (proving's Tier-A/B/C and accounting's) are withdrawn — shown as "withheld", restated provisional as of 2026-07-14. Sections-encoded, universe %, sector census and the soundness panels are mechanical and remain.
The schedule. Re-earning a tier means a fresh blind re-slice under the now-closed contracts, not a re-score of the old one. It is sequenced cheapest-first: the operational axis re-attacks first, the financial axis re-slices next, and the textual re-slice is a multi-week program. This notice updates as each axis re-earns its figure.
Frameworks — module readiness
One node per Lean module. Focused = predicates + axioms compile under the current toolchain.
Verifier-run statistics
Aggregate over all examples/<id>/report.json artefacts.
Verifier runs
Complaints elaborated against the kernel.
Accepted
OKKernel verdict: ACCEPTED — the validity theorem elaborates.
Rejected
Kernel verdict: REJECTED — at least one element disproved. A refusal is the kernel working, not a fault.
Latest run
Reyes v. Secretary of Transportation — toy REFUSING Title VII § 2000e-16(c) sample
Axiomatize-U.S.-Code program
Corpus-wide coverage from proving/coverage.json (dau-cross rollup).
Sections encoded
Operative U.S. Code sections encoded across all axes.
Tier-A (agreement)
Agreement-tier confidence withdrawn 2026-07-14 — the cross-axis agreement oracle is under re-verification (blind re-slice pending). Sections-encoded and soundness figures are unaffected.
Titles touched
Distinct U.S. Code titles with at least one encoded section.
Of USC universe
Share of the 62,831-section operative universe encoded so far.
| ID | Complaint | Framework | Predicates | Verdict | Failures | Model | Run at | |
|---|---|---|---|---|---|---|---|---|
titlevii_fedsector_refused | Reyes v. Secretary of Transportation — toy REFUSING Title VII § 2000e-16(c) sample | titlevii § 2000e-16(c) | 3 / 6 True | REJECTED | 1 | opus | 2026-08-01T17:06:35Z | |
| ||||||||
titlevi_sample | M.G. v. Springfield Public Schools — toy Title VI sample | titlevi § 601 / § 602 / retaliation | 17 / 17 True | ACCEPTED | 0 | replay | 2026-07-10T14:54:17Z | |
Verdict accepted — no kernel rejections recorded for this run. | ||||||||
sample | Doe v. Acme — toy § 1962(c) sample | rico § 1962(c) | 19 / 19 True | ACCEPTED | 0 | replay | 2026-07-10T14:54:12Z | |
Verdict accepted — no kernel rejections recorded for this run. | ||||||||
| Sorted by runFinishedAt, descending. | ||||||||
§ 2000e-16(c) intro-rule shape — Reyes v. Secretary of Transportation — toy REFUSING Title VII § 2000e-16(c) sample
One node per kernel-required element, coloured by per-element verdict. Round nodes are derived structures/theorems; rectangles are predicate slots. The top-level disjunction is focused.
ValidFederalSectorClaim
coveredEmployee
agencyHeadDef
discrimination
exhaustion
timelySuit
| # | Predicate | Args | Value | Uncertainty | Evidence | Cite | Kernel locus | |
|---|---|---|---|---|---|---|---|---|
| § 2000e-16(c) | ||||||||
| 1 | IsCoveredFederalEmployee | reyes fsrComplaint | True | low | examples/titlevii_fedsector_refused/complaint.md ¶ 1 (Parties) — Plaintiff **Dana Reyes** is a GS-12 transportation specialist at the U.S. Department of Transportation, an executive agency — a covered federal employee within 42 U.S.C. § … | | ||
| ||||||||
| 2 | IsAgencyHead | dotSecretary reyes fsrComplaint | True | low | complaint.md ¶ 2 (Parties) — Defendant is the **Secretary of Transportation**, in her official capacity, the head of the employing agency and the proper defendant under § 2000e-16(c). | | ||
| ||||||||
| 3 | PersonnelActionDiscriminatory | removal reyes ProtectedGround.nationalOrigin fsrComplaint | True | low | examples/titlevii_fedsector_refused/complaint.md ¶3 — On 2024-02-09 Reyes was removed from federal service. | | ||
| ||||||||
| 4 | FederalAdministrativeExhaustion | reyes fsrComplaint | False | low | examples/titlevii_fedsector_refused/complaint.md ¶ 4 — Reyes **never contacted an EEO counselor** about the removal, at any time. She **filed no formal complaint of discrimination with the Department**, and no administrative charge of an… | federalSectorClaim_intro_finalAction.— | ||
| ||||||||
| 5 | FinalAgencyActionIssued | reyes fsrComplaint | False | low | examples/titlevii_fedsector_refused/complaint.md ¶ 4 ("The bypassed administrative process") — Reyes **never contacted an EEO counselor** about the removal, at any time. She **filed no formal complaint of discrimination with the Departme… | | ||
| ||||||||
| 6 | FederalSuitTimelyFiled | reyes fsrComplaint | False | low | complaint.md ¶ 6 ("The bypassed administrative process") — Because no administrative complaint was ever filed, the Department has taken no action, final or otherwise, on any discrimination claim by Reyes, and no 180-day administrative pe… | | ||
| ||||||||
| titlevii § 2000e-16(c) — 3 of 6 True. | ||||||||
Metrics
- frameworkCount
- 10
- frameworksPresent
- 10
- runsTotal
- 3
- runsAccepted
- 2
- runsRejected
- 1
- leanGraphEmitFresh
- 0
- leanGraphEmitRev
- c9bcafd04
- leanGraphEmitStaleReason
- lean_graph emit STALE: emit rev c9bcafd04 not an ancestor of HEAD; emit rev c9bcafd04 unresolvable — freshness UNKNOWN, failing closed
- leanGraphModality
- monotone-corpus
- leanGraphDenominator
- 10026
- leanGraphCoveragePct
- 0.0002992220227408737
- leanGraphVelocity
- 0.00006846758435251435
- leanGraphGoldenShare
- 0.0002992220227408737
- leanGraphAutomatedShare
- 0
- leanGraphMeanDeps
- 31.5
- leanGraphGeneratedFactShare
- 0.37566137566137564
- leanGraphToolchainCurrent
- 1
- uscEncodedSections
- 424
- uscTierA
- withheld — agreement oracle under re-verification, 2026-07-14
- uscTierB
- withheld — agreement oracle under re-verification, 2026-07-14
- uscTierC
- withheld — agreement oracle under re-verification, 2026-07-14
- uscTierBlindCertified
- 0
- uscWavesTotal
- withheld — certification is a hand-maintained adjudication nothing derives; re-publishes from ledger.blindness_cert, 2026-08-08
- uscWavesBlindnessCertified
- withheld — certification is a hand-maintained adjudication nothing derives; re-publishes from ledger.blindness_cert, 2026-08-08
- uscSectionsReEarned
- withheld — certification is a hand-maintained adjudication nothing derives; re-publishes from ledger.blindness_cert, 2026-08-08
- uscTitlesTouched
- 11
- uscTitleUniverse
- 58
- uscSectionUniverse
- 62831
- uscUniversePct
- 0.6748
- latestRunId
- titlevii_fedsector_refused
- latestRunAt
- 2026-08-01T17:06:35Z
- latestVerdict
- REJECTED
- latestProofGraphUrl
- https://qnarre.quantapix.com/proof-graph/run/titlevii_fedsector_refused/debug/