Theorems · Theorem · measure theory

MeasureTheory.Measure.prod_add

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β} [MeasureTheory.SFinite ν] [MeasureTheory.SFinite μ] (ν' : MeasureTheory.Measure β)
  [MeasureTheory.SFinite ν'], μ.prod (ν + ν') = μ.prod ν + μ.prod ν'

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

2 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasureTheory.SFiniteMeasureTheory.SFiniteMeasureTheory.SFinite