Theorems · Theorem · general topology
FilterBasis.generate
∀ {α : Type u_1} (B : FilterBasis α), Filter.generate B.sets = B.filter- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement · cited by 8,121
- le_antisymmproof · cited by 2,068
- FilterBasis.setsstatement · cited by 42
- Filter.generatestatement · cited by 30
- FilterBasisstatement and proof · cited by 23
- FilterBasis.filterstatement and proof · cited by 19
- Filter.le_generate_iffproof · cited by 7
- FilterBasis.mem_filter_of_memproof · cited by 4
- FilterBasis.mem_filter_iffproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- UniformFun.gcproof · cited by 2
- Filter.IsBasis.filter_eq_generateproof · cited by 1
- Filter.generate_eq_generate_interproof · cited by 1
- Filter.ofSets_filter_eq_generateproof · cited by 0