Theorems · Theorem · measure theory
StieltjesFunction.outer_le_length
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R) (s : Set R),
f.outer s ≤ f.length s- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 162 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- MeasureTheory.OuterMeasurestatement · cited by 287
- StieltjesFunctionstatement and proof · cited by 85
- StieltjesFunction.lengthstatement · cited by 12
- MeasureTheory.OuterMeasure.ofFunction_leproof · cited by 10
- StieltjesFunction.outerstatement · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- StieltjesFunction.measure_singletonproof · cited by 6
- StieltjesFunction.outer_Iocproof · cited by 2
- StieltjesFunction.outer_trimproof · cited by 0