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Theorems · Theorem · probability

ProbabilityTheory.Indep.indepSet_of_measurableSet

∀ {Ω : Type u_1} {m₁ m₂ _mΩ : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω},
  ProbabilityTheory.Indep m₁ m₂ μ →
    ∀ {s t : Set Ω}, MeasurableSet s → MeasurableSet t → ProbabilityTheory.IndepSet s t μ
Defined in
Mathlib.Probability.Independence.Basic
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Foundations
Depth 180 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.Indep · cited by 43ProbabilityTheory.IndepProbabilityTheory.IndepSet · cited by 13ProbabilityTheory.IndepSetProbabilityTheory.Kernel.Indep.indepSet_of_measurableSet · cited by 6Indep.indepSet_of_measura…Indep.indepSet_of_measurableS…CITED BYCITES

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