Theorems · Theorem · probability
ProbabilityTheory.measurable_stieltjesOfMeasurableRat
∀ {α : Type u_1} {f : α → ℚ → ℝ} [inst : MeasurableSpace α] (hf : Measurable f) (x : ℝ),
Measurable fun a => ↑(ProbabilityTheory.stieltjesOfMeasurableRat f hf a) x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement and proof · cited by 1,499
- StieltjesFunction.toFunstatement · cited by 120
- ProbabilityTheory.stieltjesOfMeasurableRatstatement · cited by 22
- ProbabilityTheory.isMeasurableRatCDF_toRatCDFproof · cited by 11
- ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunctionproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integrable_stieltjesOfMeasurableRatproof · cited by 2
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2
- ProbabilityTheory.isCondKernelCDF_stieltjesOfMeasurableRatproof · cited by 2
- ProbabilityTheory.measurable_condCDFproof · cited by 1