Theorems · Theorem · general topology
atBot_le_cocompact
∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [NoMinOrder α] [ClosedIicTopology α],
Filter.atBot ≤ Filter.cocompact α- Defined in
- Mathlib.Topology.Order.Compact
- Cited by
- 4 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.
Cites25
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
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement and proof · cited by 8,121
- Set.univproof · cited by 3,945
- Compl.complproof · cited by 2,925
- Set.Nonemptyproof · cited by 2,627
- IsCompactproof · cited by 1,282
- LE.le.trans_ltproof · cited by 795
- LT.lt.trans_leproof · cited by 678
- Filter.atBotstatement and proof · cited by 512
- Set.eq_empty_or_nonemptyproof · cited by 248
Cited by4
Results whose statement or proof uses this declaration.
- atTop_le_cocompactproof · cited by 4
- HasCompactSupport.integral_Iic_deriv_eqproof · cited by 1
- atBot_atTop_le_cocompactproof · cited by 1
- cocompact_eq_atBotproof · cited by 0