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Theorems · Theorem · probability

ProbabilityTheory.IndepSet_iff_Indep

∀ {Ω : Type u_1} {x : MeasurableSpace Ω} (s t : Set Ω) (μ : MeasureTheory.Measure Ω),
  ProbabilityTheory.IndepSet s t μ ↔
    ProbabilityTheory.Indep (MeasurableSpace.generateFrom {s}) (MeasurableSpace.generateFrom {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.MeasureMeasureTheory.Measure.dirac · cited by 210Measure.diracMeasurableSpace.generateFrom · cited by 172MeasurableSpace.generateF…ProbabilityTheory.Kernel.const · cited by 93Kernel.constProbabilityTheory.Indep · cited by 43ProbabilityTheory.IndepProbabilityTheory.Kernel.Indep · cited by 42Kernel.IndepProbabilityTheory.IndepSet · cited by 13ProbabilityTheory.IndepSetProbabilityTheory.IndepSet_if…CITED BYCITES

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