Theorems · Theorem · measure theory

MeasurableEmbedding.variation_map

∀ {X : Type u_1} {V : Type u_2} {mX : MeasurableSpace X} [inst : TopologicalSpace V] [inst_1 : ENormedAddCommMonoid V]
  [inst_2 : T2Space V] {μ : MeasureTheory.VectorMeasure X V} {Y : Type u_3} [inst_3 : MeasurableSpace Y] {φ : X → Y},
  MeasurableEmbedding φ → (μ.map φ).variation = MeasureTheory.Measure.map φ μ.variation

Defined in

Mathlib.MeasureTheory.VectorMeasure.Variation.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceENormedAddCommMonoidT2SpaceMeasurableSpace