Theorems · Theorem · general topology
Filter.disjoint_cofinite_right
∀ {α : Type u_2} {l : Filter α}, Disjoint l Filter.cofinite ↔ ∃ s ∈ l, s.Finite- Defined in
- Mathlib.Order.Filter.Cofinite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Disjointstatement · cited by 2,201
- Set.Finitestatement · cited by 1,814
- Filter.cofinitestatement · cited by 251
- disjoint_commproof · cited by 49
- Filter.disjoint_cofinite_leftproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Disjoint.eventually_nhdsWithin_specializesproof · cited by 1
- Function.locallyFinsuppWithin.disjoint_nhdsWithin_cofinite_of_memproof · cited by 1
- Ultrafilter.le_cofinite_or_eq_pureproof · cited by 0