Theorems · Theorem · probability

ProbabilityTheory.CondIndepSets.condIndepSet_of_mem

∀ {Ω : Type u_1} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] {hm' : m' ≤ mΩ} {s t : Set Ω}
  (S T : Set (Set Ω)),
  s ∈ S →
    t ∈ T →
      MeasurableSet s →
        MeasurableSet t →
          ∀ (μ : MeasureTheory.Measure Ω) [inst_1 : MeasureTheory.IsFiniteMeasure μ],
            ProbabilityTheory.CondIndepSets m' hm' S T μ → ProbabilityTheory.CondIndepSet m' hm' s t μ

Defined in

Mathlib.Probability.Independence.Conditional

Cited by

0 results in Mathlib

Foundations

Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

StandardBorelSpaceMeasureTheory.IsFiniteMeasure