Theorems · Theorem · probability
PMF.bernoulli_apply
Deprecated since 2026-04-07Use ProbabilityTheory.bernoulliMeasure_apply instead.
∀ {p : NNReal} (h : p ≤ 1) (b : Bool), (PMF.bernoulli p h) b = ↑(bif b then p else 1 - p)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- PMFstatement · cited by 127
- PMF.bernoullistatement · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- PMF.support_bernoulliproof · cited by 1
- PMF.binomial_one_eq_bernoulliproof · cited by 0
- PMF.bernoulli_expectationproof · cited by 0