Theorems · Theorem · probability

ProbabilityTheory.Kernel.IndepSets.union

∀ {α : Type u_1} {Ω : Type u_2} {_mα : MeasurableSpace α} {s₁ s₂ s' : Set (Set Ω)} {_mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
  ProbabilityTheory.Kernel.IndepSets s₁ s' κ μ →
    ProbabilityTheory.Kernel.IndepSets s₂ s' κ μ → ProbabilityTheory.Kernel.IndepSets (s₁ ∪ s₂) s' κ μ

Defined in

Mathlib.Probability.Independence.Kernel.Indep

Cited by

3 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound