Theorems · Theorem · probability
ProbabilityTheory.gammaPDF_of_neg
∀ {a r x : ℝ}, x < 0 → ProbabilityTheory.gammaPDF a r x = 0- Defined in
- Mathlib.Probability.Distributions.Gamma
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Real.expproof · cited by 871
- ENNReal.ofRealproof · cited by 863
- not_leproof · cited by 328
- Real.Gammaproof · cited by 76
- ENNReal.ofReal_zeroproof · cited by 56
- ProbabilityTheory.gammaPDFstatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.lintegral_gammaPDF_eq_oneproof · cited by 2
- ProbabilityTheory.exponentialPDF_of_negproof · cited by 0