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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.

version 623bc019a1f2
source proving/lake-manifest.json@623bc019a1f2
built 2026-08-16T18:19:36Z
DEGRADED

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Agreement-tier figures withdrawn pending re-verification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What is withdrawn. The agreement-based tier counts (proving's Tier-A/B/C and accounting's) are withdrawn — shown as "withheld", restated provisional as of 2026-07-14.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.

Frameworks — module readiness One node per Lean module. Focused = predicates + axioms compile under the current toolchain. civil RICO 18 U.S.C. §§ 1961–1968 Title VI 42 U.S.C. §§ 2000d et seq. civil-rights 42 U.S.C. §§ 1981/1983/1985(3) Title IX 20 U.S.C. §§ 1681–1688 Title VII 42 U.S.C. §§ 2000e-5/-6/-16 Rehab § 504 29 U.S.C. § 794 Age Act 42 U.S.C. §§ 6101–6107 Title II Enf 42 U.S.C. § 2000a-5(b) ADA 42 U.S.C. ch. 126 Terrorism 18 U.S.C. ch. 113B

Verifier-run statistics

Aggregate over all examples/<id>/report.json artefacts.

Verifier runs

3

Complaints elaborated against the kernel.

Accepted

OK
2

Kernel verdict: ACCEPTED — the validity theorem elaborates.

Rejected

1

Kernel verdict: REJECTED — at least one element disproved. A refusal is the kernel working, not a fault.

Latest run

15.1d ago

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

424

Operative U.S. Code sections encoded across all axes.

Tier-A (agreement)

withheld

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

11/58

Distinct U.S. Code titles with at least one encoded section.

Of USC universe

0.67%

Share of the 62,831-section operative universe encoded so far.

Recent verifier runs One row per complaint elaborated against the kernel. Verdict pill reflects whether the validity theorem type-checks; the expand row enumerates each kernel rejection's locus. Model records what produced the predicate values — a `stubbed` run canned every predicate to True and its verdict says nothing about the complaint; `replay` re-emitted committed facts.
IDComplaintFrameworkPredicatesVerdictFailuresModelRun at
titlevii_fedsector_refusedReyes v. Secretary of Transportation — toy REFUSING Title VII § 2000e-16(c) sampletitlevii § 2000e-16(c)3 / 6 TrueREJECTED1opus2026-08-01T17:06:35Z
titlevi_sampleM.G. v. Springfield Public Schools — toy Title VI sampletitlevi § 601 / § 602 / retaliation17 / 17 TrueACCEPTED0replay2026-07-10T14:54:17Z
sampleDoe v. Acme — toy § 1962(c) samplerico § 1962(c)19 / 19 TrueACCEPTED0replay2026-07-10T14:54:12Z
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.

§ 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 FederalSectorClaim coveredEmployee ✓ True · Low agencyHeadDef ✓ True · Low discrimination ✓ True · Low exhaustion ✗ False · Low timelySuit ✗ False · Low
Predicate roster — Reyes v. Secretary of Transportation — toy REFUSING Title VII § 2000e-16(c) sample Per-predicate atomic view of the most recent run. Each row is one Bool the kernel consumed via Facts.lean; expand the row for evidence and uncertainty rationale.
#PredicateArgsValueUncertaintyEvidenceCiteKernel locus
§ 2000e-16(c)
1IsCoveredFederalEmployeereyes fsrComplaintTruelowexamples/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. § …
2IsAgencyHeaddotSecretary reyes fsrComplaintTruelowcomplaint.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).
3PersonnelActionDiscriminatoryremoval reyes ProtectedGround.nationalOrigin fsrComplaintTruelowexamples/titlevii_fedsector_refused/complaint.md ¶3 — On 2024-02-09 Reyes was removed from federal service.
4FederalAdministrativeExhaustionreyes fsrComplaintFalselowexamples/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.—
5FinalAgencyActionIssuedreyes fsrComplaintFalselowexamples/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…
6FederalSuitTimelyFiledreyes fsrComplaintFalselowcomplaint.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/