Lean verification record
Checked Artifact: Holomorphic Open Mapping Theorem (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
Verification result
The recorded Lean checks passed
- Build replaypassed with retained transcript
- Unfinished stepsNone found
- Source identityPinned commit and file recorded
- Dependency profileAxiom closure recorded
Reproducibility details
What the checker recorded
- Declaration checked
AnalyticOnNhd.is_constant_or_isOpen- Module
Mathlib.Analysis.Complex.OpenMapping- Source file checked
Mathlib/Analysis/Complex/OpenMapping.lean- Package commit
5e932f97dd25535344f80f9dd8da3aab83df0fe6- Build transcript
- passed · retained with this record
- Unfinished proof steps
- None found by the recorded no-sorry scan
- Axiom closure
- Classical.choice, Quot.sound, propext
- Collection provenance
- Clean source state recorded
ProofAtlas record
What has been checked
Mathlib is the source of the theorem; the local Lean replay and page review are separate.
Evidence boundary
Exact formal statement only
This page indexes Mathlib's global holomorphic open-mapping declaration for a map g from a complex normed space E to ℂ that is analytic on a neighborhood of every point of a preconnected set U. It proves a disjunction: either g is constant on U, or the image of every ambient-open subset s contained in U is open in ℂ. It does not require U to be open, assert that g(U) is open when U is not open, state a global IsOpenMap result, or allow an arbitrary vector-valued codomain.
This checker record does not establish novelty, transfer a historical acceptance decision, or authorize publication.