Theorems · Theorem · probability
MeasureTheory.pdf.IsUniform.aemeasurable
∀ {E : Type u_1} [inst : MeasurableSpace E] {μ : MeasureTheory.Measure E} {Ω : Type u_2} {x : MeasurableSpace Ω}
{ℙ : MeasureTheory.Measure Ω} {X : Ω → E} {s : Set E},
μ s ≠ 0 → μ s ≠ ⊤ → MeasureTheory.pdf.IsUniform X s ℙ μ → AEMeasurable X ℙ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 198 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.univproof · cited by 3,945
- MeasureTheory.Measure.restrictproof · cited by 1,646
- AEMeasurablestatement and proof · cited by 840
- smul_eq_mulproof · cited by 357
- Set.univ_interproof · cited by 258
- MeasurableSet.univproof · cited by 178
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.pdf.IsUniform.measure_preimageproof · cited by 1
- MeasureTheory.pdf.IsUniform.hasPDFproof · cited by 1