Domain Libraries
Domain libraries package specialized mathematics on top of LeanCert's direct automation, proof templates, and checker architecture.
Start here when your theorem is not just a raw numerical goal, but belongs to a recognizable mathematical domain with reusable definitions and certificate families.
| Domain | Use when you have... |
|---|---|
| Analytic Number Theory | Chebyshev functions, Abel sums, Euler products, Dirichlet sums, Mertens sums, or explicit-PNT transfer schemas |
Domain pages should usually point back to the proof template they build on. For
example, ANT asymptotic certificates use the reusable AsympEnv and
PointwiseEnvelope templates.