Theorems · Definition · measure theory
StieltjesFunction.toFun
{R : Type u_1} → [inst : LinearOrder R] → [inst_1 : TopologicalSpace R] → StieltjesFunction R → R → ℝThe underlying function R → ℝ.
Do NOT use directly. Use the coercion instead.
- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 120 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- LinearOrderTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- StieltjesFunctionstatement and proof · cited by 85
Cited by124
Results whose statement or proof uses this declaration.
- StieltjesFunction.monostatement · cited by 23
- StieltjesFunction.lengthproof · cited by 12
- StieltjesFunction.measure_Iccstatement and proof · cited by 8
- StieltjesFunction.measure_Iicstatement and proof · cited by 8
- StieltjesFunction.measure_Iocstatement and proof · cited by 8
- StieltjesFunction.length_eqstatement and proof · cited by 7
- StieltjesFunction.measure_singletonstatement and proof · cited by 6
- ProbabilityTheory.IsMeasurableRatCDF.stieltjesFunction_eqstatement · cited by 5
- StieltjesFunction.measure_univstatement and proof · cited by 5
- ProbabilityTheory.cdf_eq_realstatement and proof · cited by 5
- ProbabilityTheory.IsMeasurableRatCDF.tendsto_stieltjesFunction_atBotstatement and proof · cited by 4
- StieltjesFunction.extstatement and proof · cited by 4