Technical Lean evidence record
Checked Artifact: Tychonoff's 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 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
isCompact_pi_infinite- Module
Mathlib.Topology.Compactness.Compact- Source file checked
Mathlib/Topology/Compactness/Compact.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
The selected Mathlib declaration proves compactness of the dependent product subset {x | ∀ i, x i ∈ s i}. It does not state a finite-product-only result, and the page does not hide the family of topology instances or identify explanatory artwork with proof evidence.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.