Theorems · Theorem · probability
ProbabilityTheory.IsMeasurableRatCDF.measurable_measure_stieltjesFunction
∀ {α : Type u_1} {f : α → ℚ → ℝ} [inst : MeasurableSpace α] (hf : ProbabilityTheory.IsMeasurableRatCDF f),
Measurable fun a => (hf.stieltjesFunction a).measure- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 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.
Cites11
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
- MeasureTheory.Measurestatement · cited by 10,939
- Measurablestatement · cited by 1,499
- StieltjesFunction.measurestatement · cited by 48
- ProbabilityTheory.IsMeasurableRatCDFstatement and proof · cited by 24
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionstatement · cited by 11
- ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atBotproof · cited by 4
- ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atTopproof · cited by 3
- ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunctionproof · cited by 3
- StieltjesFunction.measurable_measureproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_measure_stieltjesOfMeasurableRatproof · cited by 0