Theorems · Theorem · general topology
MeasurableSet.analyticSet
∀ {α : Type u_3} [t : TopologicalSpace α] [PolishSpace α] [inst : MeasurableSpace α] [BorelSpace α] {s : Set α},
MeasurableSet s → MeasureTheory.AnalyticSet sA Borel-measurable set in a Polish space is analytic.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Set.imageproof · cited by 5,609
- MeasurableSetstatement and proof · cited by 3,075
- IsOpenproof · cited by 2,400
- IsClosedproof · cited by 1,639
- BorelSpacestatement and proof · cited by 1,602
- Set.image_congrproof · cited by 533
- Set.image_id'proof · cited by 86
- PolishSpacestatement and proof · cited by 57
- MeasureTheory.AnalyticSetstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- MeasurableSet.analyticSet_imageproof · cited by 1