Theorems · Theorem · measure theory

MeasureTheory.MeasurePreserving.map_eq

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {f : α → β}
  {μa : autoParam (MeasureTheory.Measure α) MeasureTheory.MeasurePreserving._auto_1}
  {μb : autoParam (MeasureTheory.Measure β) MeasureTheory.MeasurePreserving._auto_3},
  MeasureTheory.MeasurePreserving f μa μb → MeasureTheory.Measure.map f μa = μb

Defined in

Mathlib.Dynamics.Ergodic.MeasurePreserving

Cited by

72 results in Mathlib

Foundations

Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace