Theorems · Theorem · probability
ProbabilityTheory.betaPDF_eq_zero_of_nonpos
∀ {α β x : ℝ}, x ≤ 0 → ProbabilityTheory.betaPDF α β x = 0- Defined in
- Mathlib.Probability.Distributions.Beta
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- ENNReal.ofRealproof · cited by 863
- LE.le.not_gtproof · cited by 189
- ENNReal.ofReal_zeroproof · cited by 56
- ProbabilityTheory.betaproof · cited by 9
- ProbabilityTheory.betaPDFstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.lintegral_betaPDFproof · cited by 1