Theorems · Theorem · general topology
Filter.generate_eq_generate_inter
∀ {α : Type u_1} (s : Set (Set α)), Filter.generate s = Filter.generate (Set.sInter '' {t | t.Finite ∧ t ⊆ s})- Defined in
- Mathlib.Order.Filter.Bases.Finite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.ofPredstatement · cited by 6,101
- Set.imagestatement · cited by 5,609
- Set.Finitestatement · cited by 1,814
- Set.sInterstatement · cited by 225
- Filter.generatestatement and proof · cited by 30
- FilterBasis.filterproof · cited by 19
- Filter.IsBasis.filterproof · cited by 6
- FilterBasis.generateproof · cited by 4
- Filter.FilterBasis.ofSetsproof · cited by 3
- Filter.HasBasis.isBasisproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Filter.ofSets_filter_eq_generateproof · cited by 0