Theorems · Theorem · general topology
isLocallyClosed_Ici
∀ {X : Type u_1} [inst : TopologicalSpace X] {a : X} [inst_1 : Preorder X] [ClosedIciTopology X],
IsLocallyClosed (Set.Ici a)- Defined in
- Mathlib.Topology.Order.IsLocallyClosed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Icistatement · cited by 1,070
- ClosedIciTopologystatement and proof · cited by 156
- IsLocallyClosedstatement · cited by 44
- isClosed_Iciproof · cited by 40
- IsClosed.isLocallyClosedproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- locallyIntegrableOn_mul_sum_Iccproof · cited by 2
- isLocallyClosed_Icoproof · cited by 0