Theorems · Theorem · measure theory

MeasureTheory.Measure.dirac_prod

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {ν : MeasureTheory.Measure β}
  [MeasureTheory.SFinite ν] (x : α), (MeasureTheory.Measure.dirac x).prod ν = MeasureTheory.Measure.map (Prod.mk x) ν

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