Theorems · Theorem · measure theory

MeasureTheory.Measure.map_sum

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {ι : Type u_7}
  {m : ι → MeasureTheory.Measure α} {f : α → β},
  AEMeasurable f (MeasureTheory.Measure.sum m) →
    MeasureTheory.Measure.map f (MeasureTheory.Measure.sum m) =
      MeasureTheory.Measure.sum fun i => MeasureTheory.Measure.map f (m i)

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

9 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace