Theorems · Theorem · general topology
cocompact_le_atBot
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTop α] [CompactIccSpace α],
Filter.cocompact α ≤ Filter.atBot- Defined in
- Mathlib.Topology.Order.Compact
- Cited by
- 3 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- Compl.complproof · cited by 2,925
- Set.Iccproof · cited by 1,702
- IsEmptyproof · cited by 759
- Filter.atBotstatement and proof · cited by 512
- OrderTopstatement and proof · cited by 493
- le_topproof · cited by 411
- isEmpty_or_nonemptyproof · cited by 269
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.integrable_iff_integrableAtFilter_atBotproof · cited by 2
- cocompact_le_atTopproof · cited by 1
- cocompact_eq_atBotproof · cited by 0