Theorems · Theorem · probability
ProbabilityTheory.measurable_uncurry_gaussianPDFReal
Measurable fun x => match x with | (μ, v, x) => ProbabilityTheory.gaussianPDFReal μ v x
The Gaussian pdf is measurable.
- Cited by
- 3 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NNRealstatement · cited by 4,310
- Real.piproof · cited by 1,774
- Measurablestatement · cited by 1,499
- measurable_id'proof · cited by 145
- Measurable.fstproof · cited by 51
- Measurable.sndproof · cited by 51
- Measurable.fun_mulproof · cited by 30
- Measurable.pow_constproof · cited by 26
- ProbabilityTheory.gaussianPDFRealstatement · cited by 24
- Measurable.const_mulproof · cited by 19
- Measurable.expproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_uncurry_gaussianPDFproof · cited by 3
- ProbabilityTheory.stronglyMeasurable_uncurry_gaussianPDFRealproof · cited by 2
- ProbabilityTheory.measurable_gaussianPDFRealproof · cited by 0