Theorems · Theorem · measure theory

MeasureTheory.Measure.QuasiMeasurePreserving.smul_measure

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μa : MeasureTheory.Measure α}
  {μb : MeasureTheory.Measure β} {f : α → β} {R : Type u_5} [inst : SMul R ENNReal]
  [inst_1 : IsScalarTower R ENNReal ENNReal],
  MeasureTheory.Measure.QuasiMeasurePreserving f μa μb →
    ∀ (c : R), MeasureTheory.Measure.QuasiMeasurePreserving f (c • μa) (c • μb)

Defined in

Mathlib.MeasureTheory.Measure.QuasiMeasurePreserving

Cited by

1 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SMulIsScalarTower