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Theorems · Theorem · general topology

Ultrafilter.frequently_iff_eventually

∀ {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
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Filter.Frequently.eventually · cited by 0Frequently.eventuallyFilter.Eventually · cited by 3134Filter.EventuallyFilter.Frequently · cited by 414Filter.FrequentlyUltrafilter · cited by 193UltrafilterUltrafilter.toFilter · cited by 172Ultrafilter.toFilterUltrafilter.compl_notMem_iff · cited by 4Ultrafilter.compl_notMem_…Ultrafilter.frequently_iff_ev…CITED BYCITES

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Cited by1

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