Theorems · Theorem · measure theory
IsClosed.measurableSet
∀ {α : Type u_1} {s : Set α} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α],
IsClosed s → MeasurableSet s- Cited by
- 65 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- IsClosedstatement and proof · cited by 1,639
- OpensMeasurableSpacestatement and proof · cited by 636
- IsClosed.isOpen_complproof · cited by 126
- IsOpen.measurableSetproof · cited by 82
- MeasurableSet.of_complproof · cited by 11
Cited by65
Results whose statement or proof uses this declaration.
- measurableSet_Iccproof · cited by 32
- measurableSet_Iciproof · cited by 26
- IsCompact.measurableSetproof · cited by 25
- measurableSet_Iicproof · cited by 23
- Continuous.integrable_of_hasCompactSupportproof · cited by 18
- Topology.IsClosedEmbedding.measurableEmbeddingproof · cited by 16
- measurableSet_closedBallproof · cited by 13
- MeasureTheory.StronglyMeasurable.measurableSet_leproof · cited by 9
- IsClosed.nullMeasurableSetproof · cited by 8
- MeasureTheory.Measure.addHaarMeasure_selfproof · cited by 6
- measurableSet_closureproof · cited by 6
- MeasureTheory.integral_mono_measureproof · cited by 5