Theorems · Theorem · measure theory

MeasureTheory.Measure.rnDeriv_eq_div_rnDeriv_add

∀ {α : Type u_1} {m : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) [MeasureTheory.SigmaFinite μ]
  [MeasureTheory.SigmaFinite ν], μ.rnDeriv ν =ᵐ[ν] fun x => μ.rnDeriv (μ + ν) x / ν.rnDeriv (μ + ν) x

Defined in

Mathlib.MeasureTheory.Measure.Decomposition.RadonNikodym

Cited by

1 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.SigmaFiniteMeasureTheory.SigmaFinite