Theorems · Theorem · measure theory
AEMeasurable.measurable_mk
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
{μ : MeasureTheory.Measure α} (h : AEMeasurable f μ), Measurable (AEMeasurable.mk f h)- Cited by
- 62 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Measurablestatement · cited by 1,499
- AEMeasurablestatement and proof · cited by 840
- AEMeasurable.mkstatement · cited by 75
Cited by62
Results whose statement or proof uses this declaration.
- Measurable.comp_aemeasurableproof · cited by 99
- MeasureTheory.integral_mapproof · cited by 67
- AEMeasurable.aestronglyMeasurableproof · cited by 57
- AEMeasurable.prodMkproof · cited by 54
- AEMeasurable.restrictproof · cited by 23
- MeasureTheory.Measure.map_smulproof · cited by 21
- MeasureTheory.Measure.map_congrproof · cited by 17
- MeasureTheory.lintegral_map'proof · cited by 14
- MeasureTheory.lintegral_add_left'proof · cited by 11
- MeasureTheory.lintegral_const_mul''proof · cited by 11
- AEMeasurable.congrproof · cited by 10
- AEMeasurable.comp_aemeasurableproof · cited by 9