Theorems · Theorem · measure theory
MeasureTheory.Measure.measurable_lintegral
∀ {α : Type u_1} {mα : MeasurableSpace α} {f : α → ENNReal}, Measurable f → Measurable fun μ => ∫⁻ (x : α), f x ∂μ- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 202 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
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.lintegralstatement · cited by 1,152
- MeasureTheory.SimpleFunc.rangeproof · cited by 97
- MeasureTheory.SimpleFunc.eapproxproof · cited by 20
- Measurable.const_mulproof · cited by 19
- MeasureTheory.Measure.measurable_coeproof · cited by 14
- Measurable.iSupproof · cited by 14
- MeasureTheory.SimpleFunc.measurableSet_preimageproof · cited by 13
- MeasureTheory.lintegral_eq_iSup_eapprox_lintegralproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Measurable.lintegral_kernelproof · cited by 6
- MeasureTheory.Measure.measurable_joinproof · cited by 1
- MeasureTheory.Measure.aemeasurable_lintegralproof · cited by 1