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Theorems · Theorem · probability

ProbabilityTheory.Indep.indepSets

∀ {Ω : Type u_1} {_mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {s1 s2 : Set (Set Ω)},
  ProbabilityTheory.Indep (MeasurableSpace.generateFrom s1) (MeasurableSpace.generateFrom s2) μ →
    ProbabilityTheory.IndepSets s1 s2 μ
Defined in
Mathlib.Probability.Independence.Basic
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Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSpace.generateFrom · cited by 172MeasurableSpace.generateF…ProbabilityTheory.Indep · cited by 43ProbabilityTheory.IndepProbabilityTheory.IndepSets · cited by 29ProbabilityTheory.IndepSe…ProbabilityTheory.Kernel.Indep.indepSets · cited by 5Indep.indepSetsIndep.indepSetsCITED BYCITES

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