Theorems · Theorem · measure theory

MeasureTheory.measurePreserving_piFinSuccAbove

∀ {n : ℕ} {α : Fin (n + 1) → Type u} {m : (i : Fin (n + 1)) → MeasurableSpace (α i)}
  (μ : (i : Fin (n + 1)) → MeasureTheory.Measure (α i)) [∀ (i : Fin (n + 1)), MeasureTheory.SigmaFinite (μ i)]
  (i : Fin (n + 1)),
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piFinSuccAbove α i)) (MeasureTheory.Measure.pi μ)
    ((μ i).prod (MeasureTheory.Measure.pi fun j => μ (i.succAbove j)))

Defined in

Mathlib.MeasureTheory.Constructions.Pi

Cited by

3 results in Mathlib

Foundations

Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.SigmaFinite