Theorems · Theorem · general topology
Filter.Realizer.mem_sets
∀ {α : Type u_1} {f : Filter α} (F : f.Realizer) {a : Set α}, a ∈ f ↔ ∃ b, F.F.f b ⊆ a- Defined in
- Mathlib.Data.Analysis.Filter
- Cited by
- 1 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.
Cites9
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.Realizer.σstatement · cited by 18
- CFilter.fstatement · cited by 16
- Filter.Realizerstatement and proof · cited by 13
- CFilterproof · cited by 12
- Filter.Realizer.Fstatement · cited by 12
- CFilter.toFilterproof · cited by 6
- Filter.Realizer.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Filter.Realizer.le_iffproof · cited by 2