Theorems · Theorem · measure theory

MeasurableEquiv.restrict_map

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} (e : α ≃ᵐ β)
  (μ : MeasureTheory.Measure α) (s : Set β),
  (MeasureTheory.Measure.map (⇑e) μ).restrict s = MeasureTheory.Measure.map (⇑e) (μ.restrict (⇑e ⁻¹' s))

Defined in

Mathlib.MeasureTheory.Measure.Restrict

Cited by

3 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound