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Theorems · Theorem · general topology

Filter.comap_neBot_iff_frequently

∀ {α : Type u_1} {β : Type u_2} {f : Filter β} {m : α → β}, (Filter.comap m f).NeBot ↔ ∃ᶠ (y : β) in f, y ∈ Set.range m
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 63 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.

Filter.NeBot.comap_of_range_mem · cited by 3NeBot.comap_of_range_memFilter.comap_neBot_iff_compl_range · cited by 2Filter.comap_neBot_iff_co…Set · cited by 53352SetFilter · cited by 8121FilterSet.range · cited by 4705Set.rangeFilter.NeBot · cited by 853Filter.NeBotFilter.comap · cited by 546Filter.comapFilter.Frequently · cited by 414Filter.FrequentlyFilter.comap_neBot_iff_freque…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.