Theorems · Theorem · probability
MeasureTheory.HasPDF.congr
∀ {Ω : Type u_1} {E : Type u_2} [inst : MeasurableSpace E] {x : MeasurableSpace Ω} {X Y : Ω → E}
{ℙ : MeasureTheory.Measure Ω} {μ : MeasureTheory.Measure E},
X =ᵐ[ℙ] Y → ∀ [hX : MeasureTheory.HasPDF X ℙ μ], MeasureTheory.HasPDF Y ℙ μ- Defined in
- Mathlib.Probability.Density
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.HasPDFstatement and proof · cited by 37
- MeasureTheory.Measure.map_congrproof · cited by 17
- MeasureTheory.HasPDF.absolutelyContinuousproof · cited by 13
- AEMeasurable.congrproof · cited by 10
- MeasureTheory.HasPDF.aemeasurableproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.HasPDF.congr_iffproof · cited by 0