Theorems · Definition · general topology
Filter.IsCountablyGenerated.casesOn
{α : Type u_1} →
{f : Filter α} →
{motive : f.IsCountablyGenerated → Sort u} →
(t : f.IsCountablyGenerated) → ((out : ∃ s, s.Countable ∧ f = Filter.generate s) → motive ⋯) → motive t- Defined in
- Mathlib.Order.Filter.CountablyGenerated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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 and proof · cited by 8,121
- Set.Countablestatement and proof · cited by 545
- Filter.IsCountablyGeneratedstatement and proof · cited by 220
- Filter.generatestatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Filter.HasBasis.exists_antitone_subbasisproof · cited by 8