Theorems · Definition · probability

ProbabilityTheory.iIndepSet

{Ω : Type u_1} →
  {ι : Type u_2} →
    {_mΩ : MeasurableSpace Ω} →
      (ι → Set Ω) → autoParam (MeasureTheory.Measure Ω) ProbabilityTheory.iIndepSet._auto_1 → Prop

A family of sets is independent if the family of measurable space structures they generate is independent. For a set s, the generated measurable space has measurable sets ∅, s, sᶜ, univ.

Defined in

Mathlib.Probability.Independence.Basic

Cited by

19 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound