Theorems · Theorem · measure theory

MeasureTheory.Measure.map_fst_prod

∀ {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.Measure.map Prod.fst (μ.prod ν) = ν Set.univ • μ

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

9 results in Mathlib

Foundations

Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasureTheory.SFinite