Technical Lean evidence record
Checked Artifact: Stone–Weierstrass Theorem (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
Four separate status axes
Upstream indexedPinned source bytes verified locally
Locally reproducedExact upstream declaration replayed
Reviewed page2 of 3 presentation reviews recorded
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
ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints- Module
Mathlib.Topology.ContinuousMap.StoneWeierstrass- Source file checked
Mathlib/Topology/ContinuousMap/StoneWeierstrass.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 real compact-space subalgebra theorem: a subalgebra of continuous real-valued functions that separates points has topological closure equal to the whole function algebra. It does not state the complex version or approximation rates.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.