Theorems · Theorem · measure theory

MeasureTheory.Measure.prod_smul_right

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_2} {mβ : MeasurableSpace β}
  {ν : MeasureTheory.Measure β} [MeasureTheory.SFinite ν] {R : Type u_3} [inst : SMul R ENNReal]
  [inst_1 : IsScalarTower R ENNReal ENNReal] (c : R), μ.prod (c • ν) = c • μ.prod ν

Defined in

Mathlib.MeasureTheory.Measure.WithDensity

Cited by

3 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.SFiniteSMulIsScalarTower