Theorems · Theorem · measure theory
StieltjesFunction.measurableSet_Ioi
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R) {c : R},
MeasurableSet (Set.Ioi c)- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 1 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.
Cites40
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealproof · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- MeasurableSetstatement · cited by 3,075
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- le_reflproof · cited by 2,061
- Set.Ioistatement and proof · cited by 1,463
- Set.Iocproof · cited by 971
- ENNReal.ofRealproof · cited by 863
- add_le_addproof · cited by 666
Cited by1
Results whose statement or proof uses this declaration.
- StieltjesFunction.borel_le_measurableproof · cited by 0