Theorems · Theorem · probability
MeasureTheory.Measure.exists_measurable_map_eq
∀ {Y : Type u_2} [Nonempty Y] {mY : MeasurableSpace Y} [StandardBorelSpace Y] (μ : MeasureTheory.Measure Y)
[MeasureTheory.IsProbabilityMeasure μ], ∃ f, Measurable f ∧ MeasureTheory.Measure.map f MeasureTheory.volume = μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 274 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- 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
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- unitIntervalstatement and proof · cited by 607
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- StandardBorelSpacestatement and proof · cited by 304
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