Theorems · Inductive type · general topology
Filter.IsBasis
{α : Type u_1} → {ι : Sort u_4} → (ι → Prop) → (ι → Set α) → PropIsBasis p s means the image of s bounded by p is a filter basis.
- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
Cited by22
Results whose statement or proof uses this declaration.
- Filter.IsBasis.filterstatement and proof · cited by 6
- Filter.IsBasis.filterBasisstatement and proof · cited by 4
- Filter.HasBasis.isBasisstatement · cited by 3
- Filter.IsBasis.hasBasisstatement and proof · cited by 3
- CStarAlgebra.isBasis_nonneg_sectionsstatement · cited by 2
- Filter.IsBasis.mem_filter_iffstatement and proof · cited by 1
- UniformFun.isBasis_genstatement · cited by 1
- Filter.IsBasis.filter_eq_generatestatement and proof · cited by 1
- Filter.IsBasis.interstatement and proof · cited by 0
- Filter.IsBasis.mem_filterBasis_iffstatement and proof · cited by 0
- Filter.IsBasis.nonemptystatement and proof · cited by 0
- Filter.IsBasis.recOnstatement and proof · cited by 0