Formalize Jensen, Li, and Weil RH route foundations - #237
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Combine the Jensen, Li, and Weil finite formal support on a common stacked base while keeping every all-index and RH bridge explicit and unproved. Co-authored-by: Cursor <cursoragent@cursor.com>
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Formalize the sourced differentiation identity and nested finite obligations so the remaining all-shift target reduces explicitly to derivative preservation and the unshifted all-degree family. Co-authored-by: Cursor <cursoragent@cursor.com>
Add multiplicity-aware finite positivity, Cauchy limit transfer, and finite-product identities while preserving the explicit analytic bridge to xi. Co-authored-by: Cursor <cursoragent@cursor.com>
Isolate exact finite spectral positivity from the unresolved zeta explicit formula, and make every normalization, regularization, and all-test bridge obligation explicit. Co-authored-by: Cursor <cursoragent@cursor.com>
Record the newly proved finite and limit infrastructure while keeping every RH bridge and remaining analytic obligation explicit. Co-authored-by: Cursor <cursoragent@cursor.com>
Use pinned Gauss-Lucas infrastructure to prove the exact nondegenerate derivative closure and reduce coefficient reality to completed-zeta conjugation without overstating the remaining RH bridge. Co-authored-by: Cursor <cursoragent@cursor.com>
Formalize the locally uniform logarithmic-derivative bridge with explicit nonvanishing hypotheses, while isolating the remaining zeta-specific product and all-index obligations. Co-authored-by: Cursor <cursoragent@cursor.com>
Use pinned zeta APIs and typed component approximants to make the remaining analytic and universal-positivity gaps precise without assuming the explicit formula. Co-authored-by: Cursor <cursoragent@cursor.com>
Record the newly proved route infrastructure and exact remaining analytic blockers without promoting finite support to an RH claim. Co-authored-by: Cursor <cursoragent@cursor.com>
Carry the frozen Jensen route into the shared branch while preserving its explicit conditional boundary and source provenance. Co-authored-by: Cursor <cursoragent@cursor.com>
Carry the frozen Li route into the shared branch with unconditional analytic support separated from the conditional RH positivity implication. Co-authored-by: Cursor <cursoragent@cursor.com>
Carry only the frozen verified Weil snapshot into the shared branch, excluding the later unverified contour worktree diff. Co-authored-by: Cursor <cursoragent@cursor.com>
Keep the source-card validator aligned with the frozen route's more precise statuses while preserving explicit anti-overclaim checks. Co-authored-by: Cursor <cursoragent@cursor.com>
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Dependency
Stacked on PR #236 (
AgentMemory/architecture9-cursor-oprover-0727, headdc44e199e45f2abea1e7b4f5f7c168e0309b4a1a). This PR must not merge before its base dependency.Summary
df12d665c860dde0cc3e3f68ecdf2ebbe394a31c1d8b01bfb754dac71f5a7c66e4e611f50e9ec3338764681e45a0279cb436ac2961b8cfde97e5b4895db2caa8Certification outcome
Architecture 9 processed eight content-addressed high-value artifacts across Jensen, Li, and Weil. Existing theorem bodies were hidden from OProver prompts and candidates were checked in isolated Lean source prefixes.
INDEPENDENT_RECONSTRUCTION_FAILEDPrivate certification artifacts, residency journals, model output, weights, and runtime state are not committed.
Proof status and exact non-claims
riemannHypothesis_of_allJensenHyperbolicis conditional on every shifted Jensen polynomial being hyperbolic. The remaining coefficient-side blocker is the all-degree unshifted family, equivalently the finite weighted Schur--Szego/matching theorem or full finite ASW bridge.RH → Li positivitystill requires the all-index zero-window formula; no positivity-to-RH equivalence is claimed here.sorry,admit, oraxiomis introduced.Validation
lake build— 3,782 jobs, successlake env lean tests/lean/RHJensenTest.lean— successlake env lean tests/lean/LiCriterionTest.lean— successlake env lean KakeyaLeanGate/WeilPositivity.lean— successscripts/run_local_ci.sh— 1,384 passed, 10 skipped; shipping-module coverage 100%git diff --check, no-sorry/admit/axiom scan, and changed-route secret scan — cleanOperational safety
The proof supervisor stayed idle. Ledger, live checkpoint, and residency state were snapshotted before and after certification. OProver used its separate Q4 cache namespace under the exclusive residency scheduler, was unloaded, and Gemma was restored. Final health showed Primary and Allens online with Gemma resident and no OProver process.
No production worktree source, weights, caches,
candidate.py, private logs, secrets, or runtime artifacts are included. Do not merge this PR as part of certification.Made with Cursor