Theorems · Theorem · measure theory

MeasureTheory.measurePreserving_piCongrLeft

∀ {ι : Type u_1} {ι' : Type u_2} {α : ι → Type u_3} [inst : Fintype ι] {m : (i : ι) → MeasurableSpace (α i)}
  (μ : (i : ι) → MeasureTheory.Measure (α i)) [∀ (i : ι), MeasureTheory.SigmaFinite (μ i)] [inst_2 : Fintype ι']
  (f : ι' ≃ ι),
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piCongrLeft α f)) (MeasureTheory.Measure.pi fun i' => μ (f i'))
    (MeasureTheory.Measure.pi μ)

Defined in

Mathlib.MeasureTheory.Constructions.Pi

Cited by

7 results in Mathlib

Foundations

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

Assumes

FintypeMeasureTheory.SigmaFiniteFintype