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Theorems · Theorem · general topology

Filter.IsBounded.isCobounded_flip

∀ {α : Type u_1} {r : α → α → Prop} {f : Filter α} [IsTrans α r] [f.NeBot],
  Filter.IsBounded r f → Filter.IsCobounded (flip r) f

A filter which is eventually bounded is in particular frequently bounded (in the opposite direction). At least if the filter is not trivial.

Defined in
Mathlib.Order.Filter.IsBounded
Cited by
8 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsTransFilter.NeBot

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