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Theorems · Theorem · general topology

Filter.le_cofinite_iff_eventually_ne

∀ {α : Type u_2} {l : Filter α}, l ≤ Filter.cofinite ↔ ∀ (x : α), ∀ᶠ (y : α) in l, y ≠ x
Defined in
Mathlib.Order.Filter.Cofinite
Cited by
4 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Bornology.eventually_ne_cobounded · cited by 6Bornology.eventually_ne_c…Filter.atTop_le_cofinite · cited by 3Filter.atTop_le_cofiniteFilter.comap_cofinite_le · cited by 1Filter.comap_cofinite_leFilter.atBot_le_cofinite · cited by 1Filter.atBot_le_cofiniteFilter · cited by 8121FilterFilter.Eventually · cited by 3134Filter.EventuallyFilter.cofinite · cited by 251Filter.cofiniteFilter.le_cofinite_iff_compl_singleton_mem · cited by 4Filter.le_cofinite_iff_co…Filter.le_cofinite_iff_eventu…CITED BYCITES

Cites4

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Cited by4

Results whose statement or proof uses this declaration.