Mathlib theorem 路 Existing formal mathematics
ProofAtlas

Lean verification record

Checked Artifact: Fourier Inversion Formula (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
MeasureTheory.Integrable.fourierInv_fourier_eq
Module
Mathlib.Analysis.Fourier.Inversion
Source file checked
Mathlib/Analysis/Fourier/Inversion.lean
Package commit
5e932f97dd25535344f80f9dd8da3aab83df0fe6
Build transcript
passed 路 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

Upstream indexedPinned source bytes verified locally
Locally reproducedExact upstream declaration replayed
Reviewed pageCurrent public presentation reviewed
Accepted Atlas resultNot recorded for the preferred artifact

Mathlib is the source of the theorem; the local Lean replay and page review are separate.

Evidence boundary

Exact formal statement only

This target indexes the pointwise inversion endpoint, not Mathlib's adjacent global continuous-function theorem. It uses volume on a finite-dimensional real inner-product space, requires integrability of f and 饾摃f, completeness of the complex normed codomain, and continuity at the selected point v. The normalization is Mathlib's 2蟺 character convention.

This checker record does not establish novelty, transfer a historical acceptance decision, or authorize publication.