Theorems · Theorem · measure theory

MeasureTheory.MeasurePreserving.add_measure

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μa : MeasureTheory.Measure α}
  {μb : MeasureTheory.Measure β} {f : α → β} {μa' : MeasureTheory.Measure α} {μb' : MeasureTheory.Measure β},
  MeasureTheory.MeasurePreserving f μa μb →
    MeasureTheory.MeasurePreserving f μa' μb' → MeasureTheory.MeasurePreserving f (μa + μa') (μb + μb')

Defined in

Mathlib.Dynamics.Ergodic.MeasurePreserving

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace