Theorems · Definition · probability
PMF.bernoulli
Deprecated since 2026-04-07Use ProbabilityTheory.bernoulliMeasure instead.
(p : NNReal) → p ≤ 1 → PMF Bool
A PMF which assigns probability p to true and 1 - p to false.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- PMFstatement · cited by 127
- PMF.ofFintypeproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- PMF.bernoulli_applystatement · cited by 3
- PMF.support_bernoullistatement and proof · cited by 1
- PMF.mem_support_bernoulli_iffstatement · cited by 0
- PMF.binomial_one_eq_bernoullistatement and proof · cited by 0
- PMF.bernoulli.congr_simpstatement and proof · cited by 0
- PMF.bernoulli_expectationstatement and proof · cited by 0