Theorems · Theorem · general topology
cocompact_eq_atBot
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [NoMinOrder α] [OrderTop α] [ClosedIicTopology α]
[CompactIccSpace α], Filter.cocompact α = Filter.atBot- Defined in
- Mathlib.Topology.Order.Compact
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- Filter.atBotstatement · cited by 512
- LE.le.antisymmproof · cited by 507
- OrderTopstatement and proof · cited by 493
- NoMinOrderstatement and proof · cited by 247
- Filter.cocompactstatement · cited by 141
- ClosedIicTopologystatement and proof · cited by 115
- CompactIccSpacestatement and proof · cited by 96
- atBot_le_cocompactproof · cited by 4
- cocompact_le_atBotproof · cited by 3
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