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Theorems · Theorem · general topology

Filter.IsCoboundedUnder.frequently_ge

∀ {α : Type u_1} {ι : Type u_4} [inst : LinearOrder α] {f : Filter ι} [f.NeBot] {u : ι → α},
  Filter.IsCoboundedUnder (fun x1 x2 => x1 ≤ x2) f u → ∃ a, ∃ᶠ (x : ι) in f, a ≤ u x
Defined in
Mathlib.Order.Filter.IsBounded
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderFilter.NeBot
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Around this declaration

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

Filter.isCoboundedUnder_le_add · cited by 2Filter.isCoboundedUnder_l…LinearOrder · cited by 8572LinearOrderFilter · cited by 8121FilterFilter.NeBot · cited by 853Filter.NeBotFilter.Frequently · cited by 414Filter.FrequentlyFilter.IsCoboundedUnder · cited by 102Filter.IsCoboundedUnderFilter.IsCobounded.frequently_ge · cited by 3IsCobounded.frequently_geIsCoboundedUnder.frequently_geCITED BYCITES

Cites6

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Cited by1

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