Technical Lean evidence record
Checked Artifact: Schröder–Bernstein 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
Function.Embedding.schroeder_bernstein- Module
Mathlib.SetTheory.Cardinal.SchroederBernstein- Source file checked
Mathlib/SetTheory/Cardinal/SchroederBernstein.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 declaration concludes that a bijective function α → β exists from hypotheses that particular functions f and g are injective. It does not assert that either given injection is itself bijective, and the page does not claim a new construction.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.