Theorems · Theorem · measure theory

MeasurableEmbedding.absolutelyContinuous_map

∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} {f : α → β}
  {μ ν : MeasureTheory.Measure α},
  MeasurableEmbedding f →
    μ.AbsolutelyContinuous ν → (MeasureTheory.Measure.map f μ).AbsolutelyContinuous (MeasureTheory.Measure.map f ν)

Defined in

Mathlib.MeasureTheory.Measure.AbsolutelyContinuous

Cited by

1 results in Mathlib

Foundations

Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound