Theorems · Theorem · general topology
frontier_Ico
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderTopology α] [DenselyOrdered α]
[NoMinOrder α] {a b : α}, a < b → frontier (Set.Ico a b) = {a, b}- Defined in
- Mathlib.Topology.Order.DenselyOrdered
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- LinearOrderstatement and proof · cited by 8,572
- LT.lt.leproof · cited by 2,189
- Set.Iccproof · cited by 1,702
- OrderTopologystatement and proof · cited by 1,355
- LT.lt.neproof · cited by 872
- Set.Icostatement and proof · cited by 799
- interiorproof · cited by 714
- DenselyOrderedstatement and proof · cited by 471
- NoMinOrderstatement and proof · cited by 247
- frontierstatement · cited by 214
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.