Theorems · Theorem · probability
ProbabilityTheory.measurable_cauchyPDF
∀ (x₀ : ℝ) (γ : NNReal), Measurable (ProbabilityTheory.cauchyPDF x₀ γ)
- Defined in
- Mathlib.Probability.Distributions.Cauchy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 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
- NNRealstatement and proof · cited by 4,310
- Measurablestatement · cited by 1,499
- Measurable.ennreal_ofRealproof · cited by 19
- ProbabilityTheory.cauchyPDFstatement · cited by 6
- ProbabilityTheory.measurable_cauchyPDFRealproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.stronglyMeasurable_cauchyPDFproof · cited by 0