Theorems · Theorem · probability
ProbabilityTheory.map_bernoulliMeasure
∀ {X : Type u_1} {Y : Type u_2} [inst : MeasurableSpace X] [inst_1 : MeasurableSpace Y] [MeasurableSingletonClass X]
[MeasurableSingletonClass Y] (x y : X) (f : X → Y) (p : ↑unitInterval),
MeasureTheory.Measure.map f (ProbabilityTheory.bernoulliMeasure x y p) =
ProbabilityTheory.bernoulliMeasure (f x) (f y) p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.Elemstatement and proof · cited by 7,166
- MeasureTheory.Measure.mapstatement · cited by 858
- AEMeasurableproof · cited by 840
- unitIntervalstatement and proof · cited by 607
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasureTheory.Measure.diracproof · cited by 210
- unitInterval.symmproof · cited by 69
- unitInterval.toNNRealproof · cited by 34
- MeasureTheory.Measure.map_smulproof · cited by 21
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.