Algebra, analysis, topology
The catalog includes groups, rings, metric spaces, topology, vector modules, and related theorem clusters.
Back to NPA
NPA package
npa-mathlib: formalized mathematics for Nano Proof Auditor.
This package houses the public theorem-library corpus used by the NPA site. The page keeps the package under /npa/mathlib/ so future theorem introductions can grow from the same brand-owned URL family.
Package role
A mathematics library page designed for future theorem introductions.
The source npa-site package page lists exported modules and auditing commands. This site version preserves that structure while aligning the URL with the NPA strategy document.
Certificate-backed modules
Representative mathlib modules are marked verified_by_certificate in the source catalog.
Short URL
The page uses /npa/mathlib/ rather than /npa/npa-mathlib/ because the NPA context already supplies the package family.
Theorem expansion ready
Individual theorem introductions can link back to this package overview as the library grows.
Exported modules
Representative modules from the source catalog.
The module list is a selected readback from npa-site, not a full theorem browser. It keeps the package scope visible without importing the full generated catalog pipeline.
Module
Theorems
Imports
Status
Mathlib.Algebra.Group.Basic
/pkg/Mathlib/Algebra/Group/Basic/
Theorems: 23
Imports: 2
verified_by_certificate
Mathlib.Algebra.Group.Correspondence
/pkg/Mathlib/Algebra/Group/Correspondence/
Theorems: 8
Imports: 8
verified_by_certificate
Mathlib.Algebra.Group.Correspondence.Basic
/pkg/Mathlib/Algebra/Group/Correspondence/Basic/
Theorems: 18
Imports: 7
verified_by_certificate
Mathlib.Algebra.Group.FirstIsomorphism
/pkg/Mathlib/Algebra/Group/FirstIsomorphism/
Theorems: 5
Imports: 8
verified_by_certificate
Mathlib.Topology.Metric.Basic
/pkg/Mathlib/Topology/Metric/Basic/
Theorems: 15
Imports: 2
verified_by_certificate
Mathlib.Vector.Dot
/pkg/Mathlib/Vector/Dot/
Theorems: 17
Imports: 5
verified_by_certificate
Auditing
Audit the package with NPA commands.
These commands mirror the package workflow shown by npa-site, scoped to the npa-mathlib checkout.
Audit certificates
npa package verify-certs --root ../npa-mathlib --checker reference --jsonCheck policy
npa package check --root ../npa-mathlib --jsonRelated NPA pages