Theorems · Theorem · probability

ProbabilityTheory.CondIndep.condIndepSets

∀ {Ω : Type u_1} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] {hm' : m' ≤ mΩ} {μ : MeasureTheory.Measure Ω}
  [inst_1 : MeasureTheory.IsFiniteMeasure μ] {s1 s2 : Set (Set Ω)},
  ProbabilityTheory.CondIndep m' (MeasurableSpace.generateFrom s1) (MeasurableSpace.generateFrom s2) hm' μ →
    ProbabilityTheory.CondIndepSets m' hm' s1 s2 μ

Defined in

Mathlib.Probability.Independence.Conditional

Cited by

0 results in Mathlib

Foundations

Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

StandardBorelSpaceMeasureTheory.IsFiniteMeasure