Theorems · Theorem · general topology
FilterBasis.ker_filter
∀ {α : Type u_1} (F : FilterBasis α), F.filter.ker = ⋂₀ F.sets- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.extproof · cited by 2,266
- le_reflproof · cited by 2,061
- Set.sInterstatement · cited by 225
- FilterBasis.setsstatement · cited by 42
- Filter.kerstatement · cited by 40
- FilterBasisstatement and proof · cited by 23
- FilterBasis.filterstatement · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- GroupFilterBasis.t2Space_iffproof · cited by 1
- AddGroupFilterBasis.t2Space_iffproof · cited by 1