Theorems · Theorem · general topology
Filter.exists_ultrafilter_iff
∀ {α : Type u} {f : Filter α}, (∃ u, ↑u ≤ f) ↔ f.NeBot- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.NeBotstatement and proof · cited by 853
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- Filter.neBot_of_leproof · cited by 5
- Filter.exists_ultrafilter_leproof · cited by 1
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