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Theorems · Theorem · general topology

isLocallyClosed_Ioc

∀ {X : Type u_1} [inst : TopologicalSpace X] {a b : X} [inst_1 : LinearOrder X] [ClosedIicTopology X],
  IsLocallyClosed (Set.Ioc a b)
Defined in
Mathlib.Topology.Order.IsLocallyClosed
Cited by
0 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceLinearOrderClosedIicTopology
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceLinearOrder · cited by 8572LinearOrderSet.Ioc · cited by 971Set.IocClosedIicTopology · cited by 115ClosedIicTopologyIsLocallyClosed · cited by 44IsLocallyClosedIsLocallyClosed.inter · cited by 6IsLocallyClosed.interSet.Iic_inter_Ioi · cited by 5Set.Iic_inter_IoiisLocallyClosed_Iic · cited by 1isLocallyClosed_IicisLocallyClosed_Ioi · cited by 1isLocallyClosed_IoiisLocallyClosed_IocCITED BYCITES

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