Theorems · Theorem · measure theory

MeasureTheory.measurePreserving_pi_empty

∀ {ι : Type u} {α : ι → Type v} [inst : Fintype ι] [inst_1 : IsEmpty ι] {m : (i : ι) → MeasurableSpace (α i)}
  (μ : (i : ι) → MeasureTheory.Measure (α i)),
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.ofUniqueOfUnique ((i : ι) → α i) Unit))
    (MeasureTheory.Measure.pi μ) (MeasureTheory.Measure.dirac ())

Defined in

Mathlib.MeasureTheory.Constructions.Pi

Cited by

1 results in Mathlib

Foundations

Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeIsEmpty