Theorems · Theorem · general topology
Filter.mem_cofinite
∀ {α : Type u_2} {s : Set α}, s ∈ Filter.cofinite ↔ sᶜ.Finite- Defined in
- Mathlib.Order.Filter.Cofinite
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Filterstatement · cited by 8,121
- Compl.complstatement · cited by 2,925
- Set.Finitestatement · cited by 1,814
- Filter.cofinitestatement · cited by 251
Cited by4
Results whose statement or proof uses this declaration.
- Set.Finite.compl_mem_cofiniteproof · cited by 14
- ArithmeticFunction.tendsTo_eulerProduct_of_tendsToproof · cited by 1
- RestrictedProduct.weaklyLocallyCompactSpace_of_principalproof · cited by 1
- isCountablyCompact_iff_infinite_subset_has_accPtproof · cited by 0