Theorems · Definition · general topology
Filter.countableGenerate
{α : Type u_2} → Set (Set α) → Filter αFilter.countableGenerate g is the greatest countableInterFilter containing g.
- Defined in
- Mathlib.Order.Filter.CountableInter
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 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
- Set.ofPredproof · cited by 6,101
- Filter.CountableGenerateSetsproof · cited by 3
- Filter.ofCountableInterproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- residualproof · cited by 23
- Filter.le_countableGenerate_iff_of_countableInterFilterstatement and proof · cited by 2
- Filter.mem_countableGenerate_iffstatement and proof · cited by 1
- Filter.countableGenerate_isGreateststatement · cited by 0