Theorems · Theorem · measure theory
StieltjesFunction.length_diff_botSet
Deprecated since 2026-06-03Use StieltjesFunction.length_sdiff_botSet instead.
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R) {s : Set R},
f.length (s \ botSet) = f.length sAlias of StieltjesFunction.length_sdiff_botSet.
- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- ENNRealstatement · cited by 9,879
- LinearOrderstatement · cited by 8,572
- StieltjesFunctionstatement · cited by 85
- botSetstatement · cited by 16
- StieltjesFunction.lengthstatement · cited by 12
- StieltjesFunction.length_sdiff_botSetproof · cited by 3
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