SZLHOLDINGS · lean-kernel

Live Lean v4.13.0 + Mathlib v4.13.0 kernel for szl-holdings/lutar-lean · the Lutar Invariant Λ. Numbers are computed live from lean_numbers.py against the deployed commit — never hardcoded. If the build fails, this page shows it honestly.

Kernel status

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repo
commit
toolchain
last lake build

Canonical numbers (live)

declarations
axioms (raw)
axioms (unique)
sorries (raw)
sorries (non-comment)

lake build (on demand)

idle
Press “Run lake build” to kernel-check the whole library live.
(First run on a cold box downloads the Mathlib cache and can take minutes;
 if disk/cache is unavailable the failure is shown here verbatim.)

Theorem table (PROVEN / AXIOM / SORRY)

PROVEN — AXIOM — SORRY —
statuskindnamefile:line
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Λ-receipt verifier playground

POST a receipt {"axes":[...], "lambda":…}. The kernel recomputes Λ = (∏xᵢ)^(1/k) and names the confirming theorem.

10 golden reference vectors

API

GET /api/lean/healthz · GET /api/lean/numbers · GET /api/lean/theorems · POST /api/lean/verify · GET /api/lean/build (SSE) · GET /api/lean/vectors · POST /api/lean/vectors/exercise