Theorems · Theorem · measure theory
StieltjesFunction.length_sdiff_botSet
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R) {s : Set R},
f.length (s \ botSet) = f.length s- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 128 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- iInfproof · cited by 1,690
- Set.Iocproof · cited by 971
- ENNReal.ofRealproof · cited by 863
- IsEmptyproof · cited by 759
- isEmpty_or_nonemptyproof · cited by 269
- iInf_congr_Propproof · cited by 218
- StieltjesFunction.toFunproof · cited by 120
- StieltjesFunctionstatement and proof · cited by 85
Cited by3
Results whose statement or proof uses this declaration.
- StieltjesFunction.measure_singletonproof · cited by 6
- StieltjesFunction.measurableSet_Ioiproof · cited by 1
- StieltjesFunction.length_diff_botSetproof · cited by 0