Theorems · Theorem · probability
ProbabilityTheory.measurable_cauchyPDFReal
∀ (x₀ : ℝ) (γ : NNReal), Measurable (ProbabilityTheory.cauchyPDFReal x₀ γ)
- Defined in
- Mathlib.Probability.Distributions.Cauchy
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- NNRealstatement and proof · cited by 4,310
- Real.piproof · cited by 1,774
- Measurablestatement · cited by 1,499
- NNReal.toRealproof · cited by 1,260
- measurable_id'proof · cited by 145
- Measurable.pow_constproof · cited by 26
- Measurable.const_mulproof · cited by 19
- ProbabilityTheory.cauchyPDFRealstatement · cited by 10
- Measurable.fun_invproof · cited by 9
- Measurable.add_constproof · cited by 8
- Measurable.sub_constproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_cauchyPDFproof · cited by 1
- ProbabilityTheory.stronglyMeasurable_cauchyPDFRealproof · cited by 1