Mathlib Map

Theorems · Theorem · measure theory

List.measurable_prod

∀ {M : Type u_2} {α : Type u_3} [inst : Monoid M] [inst_1 : MeasurableSpace M] [MeasurableMul₂ M]
  {m : MeasurableSpace α} (l : List (α → M)), (∀ f ∈ l, Measurable f) → Measurable l.prod
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidMeasurableSpaceMeasurableMul₂
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.measurable_prod · cited by 1Multiset.measurable_prodList.measurable_fun_prod · cited by 0List.measurable_fun_prodMeasurableSpace · cited by 13106MeasurableSpaceMonoid · cited by 3887MonoidMeasurable · cited by 1499MeasurableMeasurableMul₂ · cited by 139MeasurableMul₂Measurable.mul · cited by 29Measurable.mulmeasurable_one · cited by 20measurable_oneList.measurable_prodCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.