Theorems · Theorem · general topology
Ultrafilter.eventually_not
∀ {α : Type u} {f : Ultrafilter α} {p : α → Prop}, (∀ᶠ (x : α) in ↑f, ¬p x) ↔ ¬∀ᶠ (x : α) in ↑f, p x- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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- Filter.Eventuallystatement · cited by 3,134
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement · cited by 172
- Ultrafilter.compl_mem_iff_notMemproof · cited by 9
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