Theorems · Theorem · measure theory
MeasureTheory.Measure.aemeasurable_lintegral
∀ {α : Type u_1} {mα : MeasurableSpace α} {m : MeasureTheory.Measure (MeasureTheory.Measure α)} {f : α → ENNReal},
AEMeasurable f m.join → AEMeasurable (fun μ => ∫⁻ (a : α), f a ∂μ) m- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.aeproof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- Measurableproof · cited by 1,499
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- AEMeasurablestatement and proof · cited by 840
- Filter.Eventually.monoproof · cited by 646
- MeasureTheory.lintegral_congr_aeproof · cited by 95
- MeasureTheory.Measure.joinstatement and proof · cited by 26
- MeasureTheory.Measure.ae_ae_of_ae_joinproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.lintegral_bindproof · cited by 4