Theorems · Theorem · general topology
Filter.HasBasis.filter_eq
∀ {α : Type u_1} {ι : Sort u_4} {l : Filter α} {p : ι → Prop} {s : ι → Set α} (h : l.HasBasis p s), ⋯.filter = l- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filter.HasBasisstatement and proof · cited by 604
- Filter.HasBasis.mem_iffproof · cited by 193
- Filter.extproof · cited by 60
- Filter.IsBasis.filterstatement · cited by 6
- Filter.HasBasis.isBasisstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Filter.HasBasis.eq_generateproof · cited by 1
- Filter.generate_eq_generate_interproof · cited by 1