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Theorems · Theorem · probability

ProbabilityTheory.iIndepSets.iIndepSet_of_mem

∀ {Ω : Type u_1} {ι : Type u_2} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {π : ι → Set (Set Ω)}
  {f : ι → Set Ω},
  (∀ (i : ι), f i ∈ π i) →
    (∀ (i : ι), MeasurableSet (f i)) → ProbabilityTheory.iIndepSets π μ → ProbabilityTheory.iIndepSet f μ
Defined in
Mathlib.Probability.Independence.Basic
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Foundations
Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSet · cited by 3075MeasurableSetProbabilityTheory.iIndepSet · cited by 19ProbabilityTheory.iIndepS…ProbabilityTheory.iIndepSets · cited by 18ProbabilityTheory.iIndepS…ProbabilityTheory.Kernel.iIndepSets.iIndepSet_of_mem · cited by 1iIndepSets.iIndepSet_of_m…iIndepSets.iIndepSet_of_memCITED BYCITES

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