Technical Lean evidence record

Checked Artifact: Hilbert Basis Theorem (mathlib)

Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.

ProofAtlas record

What has been checked

Upstream indexedPinned source bytes verified locally

Locally reproducedExact upstream declaration replayed

Reviewed pageCurrent public presentation reviewed

Accepted Atlas resultNot recorded for the preferred artifact

These states distinguish upstream identity, local reproduction, review, and Atlas acceptance. This page is part of the public, read-only Mathlib landmark collection.

Mechanical evidence

Declaration checked: Polynomial.isNoetherianRing
Module: Mathlib.RingTheory.Polynomial.Basic
Source file checked: Mathlib/RingTheory/Polynomial/Basic.lean
Package commit: 5e932f97dd25535344f80f9dd8da3aab83df0fe6
Build: passed · transcript retained
Unfinished proof steps: None found by the recorded no-sorry scan
Axiom closure: Classical.choice, Quot.sound, propext
Clean collection provenance: Recorded

Evidence boundary

This target indexes Mathlib's protected theorem that a commutative Noetherian ring R has a Noetherian univariate polynomial ring R[X]. The conclusion is the IsNoetherianRing R[X] typeclass proposition, and the source registers the theorem as an instance on the following line. It is not a multivariate endpoint, a generator-computation algorithm, or new ProofAtlas mathematics.

This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.