Theorems · Theorem · probability

ProbabilityTheory.iIndepFun.indepFun_finset_sum_of_notMem

Deprecated since 2026-04-08Use ProbabilityTheory.iIndepFun.indepFun_finsetSum_of_notMem instead.

∀ {Ω : Type u_1} {ι : Type u_2} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {β : Type u_10}
  {m : MeasurableSpace β} [inst : AddCommMonoid β] [MeasurableAdd₂ β] {f : ι → Ω → β},
  ProbabilityTheory.iIndepFun f μ →
    (∀ (i : ι), Measurable (f i)) → ∀ {s : Finset ι} {i : ι}, i ∉ s → ProbabilityTheory.IndepFun (∑ j ∈ s, f j) (f i) μ

Alias of ProbabilityTheory.iIndepFun.indepFun_finsetSum_of_notMem.

Defined in

Mathlib.Probability.Independence.Basic

Cited by

0 results in Mathlib

Foundations

Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidMeasurableAdd₂