∀ {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.map_eq_withDensity_pdf._auto_1)
  [hX : MeasureTheory.HasPDF X ℙ μ], MeasureTheory.Measure.map X ℙ = μ.withDensity (MeasureTheory.pdf X ℙ μ)