Theorems · Definition · general topology
Filter.IsCountableBasis.recOn
{α : Type u_1} →
{ι : Type u_4} →
{p : ι → Prop} →
{s : ι → Set α} →
{motive : Filter.IsCountableBasis p s → Sort u} →
(t : Filter.IsCountableBasis p s) →
((toIsBasis : Filter.IsBasis p s) → (countable : (Set.ofPred p).Countable) → motive ⋯) → motive t- Defined in
- Mathlib.Order.Filter.CountablyGenerated
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 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
- Set.ofPredstatement and proof · cited by 6,101
- Set.Countablestatement and proof · cited by 545
- Filter.IsBasisstatement and proof · cited by 14
- Filter.IsCountableBasisstatement and proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.