Theorems · Theorem · general topology
Filter.eventually_smallSets_subset
∀ {α : Type u_1} {l : Filter α} {s : Set α}, (∀ᶠ (t : Set α) in l.smallSets, t ⊆ s) ↔ s ∈ l- Defined in
- Mathlib.Order.Filter.SmallSets
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Eventuallystatement · cited by 3,134
- Filter.smallSetsstatement · cited by 89
- Filter.eventually_smallSets_forallproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- VitaliFamily.eventually_filterAt_subset_of_nhdsproof · cited by 4
- ContDiffWithinAt.eventually_hasFTaylorSeriesUpToOnproof · cited by 1
- VitaliFamily.filterAt_enlargeproof · cited by 0