L1Integrable.lean`

Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL: Lean4 Domain Explanation Language

Annotation provenance. This overlay contains 10 curated AI-written annotations and 981 mechanical source-derived annotations. They have not been human-reviewed as explanations; treat them as unverified and not mathematical authority. Retained generation history: The 71 original curated annotations were produced in a Claude Sonnet 5.5 session at medium effort; Claude Opus 5.5 is recorded in that session as the advisor model, not the direct author. The bulk source-derived expansion was generated mechanically from pinned source comments by tooling developed in a GPT-5.6 Sol session at ultra reasoning; GPT-5.6 Sol did not originate the quoted source prose. On 2026-10-17 the mechanically generated source-comment annotations of the Formal Conjectures, Carleson, FLT, PFR, CompFiles, Mathematics in Lean and Theorem Proving in Lean overlays were regenerated by the same generator after three corrections made in a Claude Sonnet 5.5 session: titles no longer cut a sentence inside mathematics or end on a dangling word, workflow markers are removed from the quoted prose, and declaration names follow the scanner's namespace resolution. The boilerplate step line was dropped, and comments that were only a row of dashes no longer yield annotations. No new prose was written and no human review is claimed.

Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Pinned Carleson blueprint

2 declarations, 0 contain sorry, 0 declared as axioms

Imports (1)

Carleson.ToMathlib.BoundedCompactSupport

Imported by 2 files

lemma _root_.MeasureTheory.Integrable.conj move to Function/L1/Integrable.lean line 18 source
Source comment
move to Function/L1/Integrable.lean
```
lemma _root_.MeasureTheory.Integrable.conj {f : X → ℂ} (hf : Integrable f) :
    Integrable (fun x ↦ conj (f x)) :=
…
```
lemma _root_.MeasureTheory.Integrable.mul_conj TODO: compare with mul and conj in BoundedCompactSupport line 24 source
Source comment
TODO: compare with mul and conj in BoundedCompactSupport
```
lemma _root_.MeasureTheory.Integrable.mul_conj [TopologicalSpace X] {f g : X → ℂ} (hf : Integrable f)
    (hf' : BoundedCompactSupport f) (hg : Integrable g) : Integrable (fun x ↦ f x * conj (g x)) := by
…
```
Mentions: g, _root_.MeasureTheory.Integrable.conj