Theorems · Theorem · general topology
Filter.cocompact_le_cofinite
∀ {X : Type u} [inst : TopologicalSpace X], Filter.cocompact X ≤ Filter.cofinite- Defined in
- Mathlib.Topology.Compactness.Compact
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Filterstatement · cited by 8,121
- Filter.cofinitestatement and proof · cited by 251
- compl_complproof · cited by 229
- Filter.cocompactstatement · cited by 141
- IsCompact.compl_mem_cocompactproof · cited by 13
- Set.Finite.isCompactproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Bornology.inCompactproof · cited by 2
- SchwartzMap.isBigO_cocompact_zpow_neg_natproof · cited by 1