Theorems · Theorem · probability

ProbabilityTheory.condIndepFun_of_measurable_left

∀ {Ω : Type u_1} {β : Type u_3} {β' : Type u_4} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω]
  {hm' : m' ≤ mΩ} {μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] {mβ : MeasurableSpace β}
  {mβ' : MeasurableSpace β'} {X : Ω → β} {Y : Ω → β'},
  Measurable X → Measurable Y → ProbabilityTheory.CondIndepFun m' hm' X Y μ

Defined in

Mathlib.Probability.Independence.Conditional

Cited by

2 results in Mathlib

Foundations

Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

StandardBorelSpaceMeasureTheory.IsFiniteMeasure