Theorems · Theorem · measure theory
AEMeasurable.of_map_ne_zero
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {f : α → β}
{μ : MeasureTheory.Measure α}, MeasureTheory.Measure.map f μ ≠ 0 → AEMeasurable f μ- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- AEMeasurablestatement · cited by 840
- not_imp_commproof · cited by 56
- MeasureTheory.Measure.map_of_not_aemeasurableproof · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasGaussianLaw.aemeasurableproof · cited by 11
- MeasureTheory.Measure.isProbabilityMeasure_of_mapproof · cited by 2
- ProbabilityTheory.IsGaussianProcess.aemeasurableproof · cited by 1
- ProbabilityTheory.gaussianReal_add_gaussianReal_of_indepFunproof · cited by 0
- ProbabilityTheory.mgf_diracproof · cited by 0