Theorems · Theorem · measure theory
Measurable.aemeasurable
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
{μ : MeasureTheory.Measure α}, Measurable f → AEMeasurable f μ- Cited by
- 304 results in Mathlib
- Foundations
- Depth 172 from the axioms, rests on 4,660 definitions · 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 and proof · cited by 1,499
- AEMeasurablestatement · cited by 840
- MeasureTheory.ae_eq_reflproof · cited by 29
Cited by304
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_applyproof · cited by 139
- aemeasurable_idproof · cited by 66
- ProbabilityTheory.Kernel.compProd_applyproof · cited by 31
- MeasureTheory.Measure.prod_applyproof · cited by 26
- aemeasurable_constproof · cited by 22
- MeasureTheory.lintegral_eq_zero_iffproof · cited by 22
- ProbabilityTheory.IdentDistrib.compproof · cited by 22
- MeasureTheory.Measure.bind_applyproof · cited by 21
- Continuous.aemeasurableproof · cited by 21
- MeasureTheory.lintegral_prodproof · cited by 20
- MeasureTheory.MeasurePreserving.measure_preimageproof · cited by 19
- MeasurableEmbedding.map_applyproof · cited by 16
Showing the 200 most cited of 304.