Swift-Gate Trust¶
The Swift gate does not ask to be trusted. It earns trust by a verifiable history of agreeing with the Lean kernel. The number on this page is the cell's exact, checkable claim of which math its internal checker can be trusted on. Re-run the Lean gate on the listed artifacts and confirm.
Last regenerated: 2026-05-24T21:02:12Z
Current trust state¶
| Metric | Value |
|---|---|
| Public artifacts checked | 29 |
| Swift ↔ Lean agreements | 29 |
| Divergences (caught Swift bugs) | 0 |
| Last checked | 2026-05-24T21:00:38Z |
| Pinned Lean toolchain | leanprover/lean4:v4.12.0 |
Agreement rate: 29/29 public artifacts.
Per-artifact agreement log¶
| Theorem | Artifact | Swift | Lean | Agree | Checked |
|---|---|---|---|---|---|
fermat_little_p20_a18 |
FirstRoars/FermatLittle.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T21:00:38Z |
wilson_primes_up_to_30 |
FirstRoars/WilsonTheorem.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T20:54:22Z |
sigma_multiplicative |
FirstRoars/SigmaMultiplicative.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T20:48:16Z |
mobius_inversion_N10 |
FirstRoars/MobiusInversion.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T20:47:08Z |
euler_smooth_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T20:46:01Z |
bertrand_up_to_100 |
FirstRoars/BertrandSmall.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:57Z |
sigma_multiplicative |
FirstRoars/SigmaMultiplicative.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:56Z |
wilson_primes_up_to_30 |
FirstRoars/WilsonTheorem.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:56Z |
fermat_little_p20_a18 |
FirstRoars/FermatLittle.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:56Z |
euler_family_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:55Z |
euler_family_N6_s3 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:55Z |
euler_family_N6_s4 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:55Z |
mobius_inversion_N10 |
FirstRoars/MobiusInversion.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:55Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:36:54Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:35:05Z |
euler_family_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:35:05Z |
euler_family_N10_s3 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:35:05Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:32Z |
euler_family_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:12Z |
euler_family_N10_s3 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:12Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:02Z |
euler_family_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:02Z |
euler_family_N10_s3 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:34:02Z |
euler_family_N12_s2 |
FirstRoars/EulerProductFamily.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:32:50Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:32:49Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:21:14Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:21:03Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:15:11Z |
euler_product |
FirstRoars/EulerProduct.lean |
CALORIE | CALORIE | ✓ | 2026-05-24T18:12:25Z |
How the trust grows¶
Every dual-gate run records both verdicts (swift_verdict, lean_verdict) and an agree flag in lion_gate_agreement. While public divergences > 0 OR public total < 20, every public lion artifact MUST clear the Lean external gate. Once public total ≥ 20 and divergences = 0, the Swift gate may seal a wider internal class on its own. The next divergence resets the threshold instantly.
Re-verify this page yourself¶
git clone https://github.com/gaiaftcl-sudo/gaiaFTCL.git
cd gaiaFTCL/proof
bash scripts/lean_gate.sh FirstRoars/EulerProduct.lean
# expect lean_verdict=CALORIE, exit_code=0, sorry=0, axiom=0, opaque=0
The Lean gate uses the pinned toolchain above. Its verdict is the external warrant; the row's agree flag is what earns the Swift gate its trust on this artifact.
Federation-cosigned
This page's source is sealed in the GaiaFTCL federation manifest — page SHA-256 78b00ece8e9555ad…, manifest witness a090592e0609adc8…, signed 2026-06-02T18:58:22Z by cell gaiaftcl-mac-cell. Verify with gaiaftcl wiki sign --all and compare wiki-all-signatures.json.