Lean verification record
Checked Artifact: Inverse Function 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
HasStrictFDerivAt.to_localInverse- Module
Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv- Source file checked
Mathlib/Analysis/Calculus/InverseFunctionTheorem/FDeriv.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 strict-derivative conclusion for its constructed local inverse. Over a nontrivially normed field, for normed spaces E and F with E complete, a strict Fréchet derivative of f at a given by a continuous linear equivalence f' implies that hf.localInverse f f' a : F → E has strict Fréchet derivative f'.symm at f a. Nearby definitions construct that function through an OpenPartialHomeomorph; the selected declaration itself does not assert a global inverse, global bijectivity, a global diffeomorphism, or inverse differentiability beyond f a.
This checker record does not establish novelty, transfer a historical acceptance decision, or authorize publication.