Theorems · Definition · measure theory
StieltjesFunction.outer
{R : Type u_1} →
[inst : LinearOrder R] → [inst_1 : TopologicalSpace R] → StieltjesFunction R → MeasureTheory.OuterMeasure RThe Stieltjes outer measure associated to a Stieltjes function.
- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderTopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- MeasureTheory.OuterMeasurestatement · cited by 287
- StieltjesFunctionstatement and proof · cited by 85
- MeasureTheory.OuterMeasure.ofFunctionproof · cited by 21
- StieltjesFunction.lengthproof · cited by 12
- StieltjesFunction.length_emptyproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- StieltjesFunction.outer_le_lengthstatement · cited by 3
- StieltjesFunction.measure_defstatement and proof · cited by 2
- StieltjesFunction.outer_Iocstatement and proof · cited by 2
- StieltjesFunction.measurableSet_Ioistatement · cited by 1
- StieltjesFunction.borel_le_measurablestatement and proof · cited by 0
- StieltjesFunction.outer_trimstatement and proof · cited by 0