Theorems · Theorem · probability
ProbabilityTheory.setBernoulli_empty
∀ {ι : Type u_1} {p : ↑unitInterval} [Countable ι], ProbabilityTheory.setBernoulli ∅ p = MeasureTheory.Measure.dirac ∅- Cited by
- 2 results in Mathlib
- Foundations
- Depth 288 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.
Cites27
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 · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- mul_oneproof · cited by 3,885
- MeasurableSetproof · cited by 3,075
- ENNReal.ofNNRealproof · cited by 1,279
- pow_zeroproof · cited by 1,094
- Countablestatement and proof · cited by 633
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.binomial_zeroproof · cited by 0
- ProbabilityTheory.map_cast_binomial_zeroproof · cited by 0