Theorems · Theorem · probability

ProbabilityTheory.iIndepFun.indepFun_add_left

∀ {Ω : Type u_1} {ι : Type u_2} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {β : Type u_10}
  {m : MeasurableSpace β} [inst : Add β] [MeasurableAdd₂ β] {f : ι → Ω → β},
  ProbabilityTheory.iIndepFun f μ →
    (∀ (i : ι), Measurable (f i)) → ∀ (i j k : ι), i ≠ k → j ≠ k → ProbabilityTheory.IndepFun (f i + f j) (f k) μ

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

AddMeasurableAdd₂