Theorems · Definition · probability
ProbabilityTheory.IsSetBernoulli
{ι : Type u_1} →
{Ω : Type u_2} → {m : MeasurableSpace Ω} → (Ω → Set ι) → Set ι → ↑unitInterval → MeasureTheory.Measure Ω → PropA random variable X : Ω → Set ι is p-bernoulli on a set u : Set ι if its distribution is
the product over u of p-bernoulli distributions.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.Elemstatement and proof · cited by 7,166
- unitIntervalstatement and proof · cited by 607
- ProbabilityTheory.HasLawproof · cited by 69
- ProbabilityTheory.setBernoulliproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.isSetBernoulli_congrstatement · cited by 0
- ProbabilityTheory.IsSetBernoulli.ae_subsetstatement and proof · cited by 0