Theorems · Theorem · general topology
MeasurableSet.standardBorel
∀ {α : Type u_4} [inst : MeasurableSpace α] [StandardBorelSpace α] {s : Set α}, MeasurableSet s → StandardBorelSpace ↑sA measurable subspace of a standard Borel space is standard Borel.
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- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- TopologicalSpaceproof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Elemstatement and proof · cited by 7,166
- MeasurableSetstatement and proof · cited by 3,075
- IsOpenproof · cited by 2,400
- IsClosedproof · cited by 1,639
- BorelSpaceproof · cited by 1,602
- StandardBorelSpacestatement and proof · cited by 304
- PolishSpaceproof · cited by 57
- IsClosed.polishSpaceproof · cited by 6
- MeasurableSet.isClopenable'proof · cited by 1
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