Theorems · Theorem · probability
MeasureTheory.pdf.congr
∀ {Ω : Type u_1} {E : Type u_2} [inst : MeasurableSpace E] {m : MeasurableSpace Ω} {ℙ : MeasureTheory.Measure Ω}
{μ : MeasureTheory.Measure E} {X Y : Ω → E}, X =ᵐ[ℙ] Y → MeasureTheory.pdf X ℙ μ = MeasureTheory.pdf Y ℙ μ- Defined in
- Mathlib.Probability.Density
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Cites10
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
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.Measure.rnDerivproof · cited by 234
- MeasureTheory.pdfstatement and proof · cited by 32
- MeasureTheory.Measure.map_congrproof · cited by 17
- MeasureTheory.pdf_defproof · cited by 6
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