Theorems · Theorem · measure theory

Finset.measurable_sum_apply

∀ {M : Type u_2} {ι : Type u_3} {α : Type u_4} {β : Type u_5} [inst : AddCommMonoid M] [inst_1 : MeasurableSpace M]
  [MeasurableAdd₂ M] {m : MeasurableSpace α} {mβ : MeasurableSpace β} {f : ι → α → β → M} {g : α → β} {s : Finset ι},
  (∀ i ∈ s, Measurable ↿(f i)) → Measurable g → Measurable fun a => (∑ i ∈ s, f i a) (g a)

Compositional version of Finset.measurable_sum for use by fun_prop.

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

2 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidMeasurableSpaceMeasurableAdd₂