Theorems · Definition · general topology
Filter.FilterBasis.ofSets
{α : Type u_1} → Set (Set α) → FilterBasis αThe smallest filter basis containing a given collection of sets.
- Defined in
- Mathlib.Order.Filter.Bases.Finite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Set.Finiteproof · cited by 1,814
- Set.sInterproof · cited by 225
- FilterBasisstatement · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- Filter.FilterBasis.ofSets_setsstatement · cited by 2
- Filter.generate_eq_generate_interproof · cited by 1
- Filter.ofSets_filter_eq_generatestatement and proof · cited by 0