Theorems · Theorem · measure theory

Finset.measurable_prod

∀ {M : Type u_2} {ι : Type u_3} {α : Type u_4} [inst : CommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableMul₂ M]
  {m : MeasurableSpace α} {f : ι → α → M} (s : Finset ι),
  (∀ i ∈ s, Measurable (f i)) → Measurable fun a => ∏ i ∈ s, f i a

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

11 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidMeasurableSpaceMeasurableMul₂