Theorems · Theorem · measure theory

MeasureTheory.Measure.map_smul

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {R : Type u_4} [inst : SMul R ENNReal]
  [inst_1 : IsScalarTower R ENNReal ENNReal] (c : R) (μ : MeasureTheory.Measure α) (f : α → β),
  MeasureTheory.Measure.map f (c • μ) = c • MeasureTheory.Measure.map f μ

Defined in

Mathlib.MeasureTheory.Measure.Map

Cited by

21 results in Mathlib

Foundations

Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SMulIsScalarTower