Theorems · Theorem · measure theory

MeasureTheory.QuasiMeasurePreserving.fst

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  [inst_2 : MeasurableSpace γ] {μ : MeasureTheory.Measure α} {ν : MeasureTheory.Measure β} {τ : MeasureTheory.Measure γ}
  {f : α → β × γ},
  MeasureTheory.Measure.QuasiMeasurePreserving f μ (ν.prod τ) →
    MeasureTheory.Measure.QuasiMeasurePreserving (fun x => (f x).1) μ ν

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

11 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMeasurableSpaceMeasurableSpace