Theorems · Theorem · measure theory

MeasurableEmbedding.comap_restrict

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} {f : α → β},
  MeasurableEmbedding f →
    ∀ (μ : MeasureTheory.Measure β) (s : Set β),
      MeasureTheory.Measure.comap f (μ.restrict s) = (MeasureTheory.Measure.comap f μ).restrict (f ⁻¹' s)

Defined in

Mathlib.MeasureTheory.Measure.Restrict

Cited by

1 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound