Theorems · Theorem · measure theory

MeasureTheory.Measure.prod_sum_right

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {ι' : Type u_4} [Countable ι']
  (m : MeasureTheory.Measure α) (m' : ι' → MeasureTheory.Measure β) [∀ (n : ι'), MeasureTheory.SFinite (m' n)],
  m.prod (MeasureTheory.Measure.sum m') = MeasureTheory.Measure.sum fun p => m.prod (m' p)

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

3 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMeasurableSpaceCountableMeasureTheory.SFinite