Theorems · Theorem · measure theory

MeasureTheory.Measure.prod_dirac

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  [MeasureTheory.SFinite μ] (y : β),
  μ.prod (MeasureTheory.Measure.dirac y) = MeasureTheory.Measure.map (fun x => (x, y)) μ

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

3 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMeasurableSpaceMeasureTheory.SFinite