Theorems · Theorem · measure theory
IsPreconnected.measurableSet
∀ {α : Type u_1} {s : Set α} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [OpensMeasurableSpace α]
[inst_2 : LinearOrder α] [OrderClosedTopology α], IsPreconnected s → MeasurableSet s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LinearOrderstatement and proof · cited by 8,572
- MeasurableSetstatement · cited by 3,075
- OpensMeasurableSpacestatement and proof · cited by 636
- OrderClosedTopologystatement and proof · cited by 445
- IsPreconnectedstatement and proof · cited by 205
- Set.OrdConnected.measurableSetproof · cited by 4
- IsPreconnected.ordConnectedproof · cited by 2
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