Theorems · Theorem · probability

ProbabilityTheory.Kernel.Indep.indepSet_of_measurableSet

∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {m₁ m₂ x : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
  ProbabilityTheory.Kernel.Indep m₁ m₂ κ μ →
    ∀ {s t : Set Ω}, MeasurableSet s → MeasurableSet t → ProbabilityTheory.Kernel.IndepSet s t κ μ

Defined in

Mathlib.Probability.Independence.Kernel.Indep

Cited by

6 results in Mathlib

Foundations

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