Technical Lean evidence record
Checked Artifact: Fatou's Lemma (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
ProofAtlas record
What has been checked
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
MeasureTheory.lintegral_liminf_le- Module
Mathlib.MeasureTheory.Integral.Lebesgue.Add- Source file checked
Mathlib/MeasureTheory/Integral/Lebesgue/Add.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
This page indexes Mathlib's Fatou lemma for a sequence of measurable functions f n : α → ℝ≥0∞. It compares the lower Lebesgue integral of the pointwise liminf with the liminf of the lower Lebesgue integrals. Nonnegativity is encoded by the extended nonnegative reals, and the declaration assumes neither convergence of the sequence nor finiteness of the integrals. It does not state equality, a reverse inequality, a signed- or Bochner-integral theorem, or a quantitative rate.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.