Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.map_apply

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : MeasurableSpace β] {M : Type u_3}
  [inst_1 : AddCommMonoid M] [inst_2 : TopologicalSpace M] (v : MeasureTheory.VectorMeasure α M) {f : α → β},
  Measurable f → ∀ {s : Set β}, MeasurableSet s → (v.map f) s = v (f ⁻¹' s)

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

10 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddCommMonoidTopologicalSpace