Theorems · Theorem · probability
ProbabilityTheory.setBernoulli_ae_subset
∀ {ι : Type u_1} {u : Set ι} {p : ↑unitInterval} [Countable ι],
∀ᵐ (s : Set ι) ∂ProbabilityTheory.setBernoulli u p, s ⊆ u- Cited by
- 5 results in Mathlib
- Foundations
- Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Filter.Eventuallystatement · cited by 3,134
- add_zeroproof · cited by 2,707
- MeasureTheory.aestatement · cited by 2,352
- Set.extproof · cited by 2,266
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.setBernoulli_apply_eq_apply_subsetsproof · cited by 2
- SimpleGraph.binomialRandom_eq_mapproof · cited by 2
- ProbabilityTheory.ae_le_of_hasLaw_binomialproof · cited by 0
- ProbabilityTheory.setBernoulli_singleton_of_not_subsetproof · cited by 0
- ProbabilityTheory.IsSetBernoulli.ae_subsetproof · cited by 0