Theorems · Theorem · probability

MeasureTheory.measurable_pdf

∀ {Ω : Type u_1} {E : Type u_2} [inst : MeasurableSpace E] {m : MeasurableSpace Ω} (X : Ω → E)
  (ℙ : MeasureTheory.Measure Ω) (μ : autoParam (MeasureTheory.Measure E) MeasureTheory.measurable_pdf._auto_1),
  Measurable (MeasureTheory.pdf X ℙ μ)

Defined in: Mathlib.Probability.Density
Cited by: 4 results in Mathlib
Foundations: Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace

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Cites7

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 · cited by 9,879
Measurablestatement · cited by 1,499
MeasureTheory.Measure.mapproof · cited by 858
MeasureTheory.Measure.measurable_rnDerivproof · cited by 75
MeasureTheory.pdfstatement · cited by 32

Cited by4

Results whose statement or proof uses this declaration.

MeasureTheory.pdf.eq_of_map_eq_withDensityproof · cited by 2
MeasureTheory.pdf.eq_of_map_eq_withDensity'proof · cited by 0
MeasureTheory.pdf.IsUniform.mul_pdf_integrableproof · cited by 0
MeasureTheory.pdf.indepFun_iff_pdf_prod_eq_pdf_mul_pdfproof · cited by 0