Theorems · Theorem · probability
ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_eq
∀ {α : Type u_1} {f : α → ℚ → ℝ} [inst : MeasurableSpace α] (hf : ProbabilityTheory.IsMeasurableRatCDF f) (a : α)
(r : ℚ), ↑(hf.stieltjesFunction a) ↑r = f a r- Cited by
- 5 results in Mathlib
- Foundations
- Depth 168 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.
Cites6
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
- StieltjesFunction.toFunstatement · cited by 120
- ProbabilityTheory.IsMeasurableRatCDFstatement and proof · cited by 24
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionstatement · cited by 11
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunctionAux_eqproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atBotproof · cited by 4
- ProbabilityTheory.IsMeasurableRatCDF.measurable_stieltjesFunctionproof · cited by 3
- ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atTopproof · cited by 3
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_le_oneproof · cited by 2
- ProbabilityTheory.stieltjesOfMeasurableRat_eqproof · cited by 1