Theorems · Theorem · general topology
isLocallyClosed_Icc
∀ {X : Type u_1} [inst : TopologicalSpace X] {a b : X} [inst_1 : Preorder X] [OrderClosedTopology X],
IsLocallyClosed (Set.Icc a b)- Defined in
- Mathlib.Topology.Order.IsLocallyClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- Set.Iccstatement · cited by 1,702
- OrderClosedTopologystatement and proof · cited by 445
- IsLocallyClosedstatement · cited by 44
- isClosed_Iccproof · cited by 17
- IsClosed.isLocallyClosedproof · cited by 12
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