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Theorems · Theorem · probability

ProbabilityTheory.setBernoulli_singleton_of_not_subset

∀ {ι : Type u_1} {u : Set ι} [Countable ι] {s : Set ι} (p : ↑unitInterval),
  ¬s ⊆ u → (ProbabilityTheory.setBernoulli u p) {s} = 0
Defined in
Mathlib.Probability.Distributions.SetBernoulli
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Foundations
Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Countable
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DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealSet.Elem · cited by 7166Set.ElemSet.ofPred · cited by 6101Set.ofPredCountable · cited by 633CountableunitInterval · cited by 607unitIntervalProbabilityTheory.setBernoulli · cited by 19ProbabilityTheory.setBern…ProbabilityTheory.setBernoulli_ae_subset · cited by 5ProbabilityTheory.setBern…MeasureTheory.Measure.mono_null · cited by 2Measure.mono_nullProbabilityTheory.setBernoull…CITED BYCITES

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