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Theorems · Theorem · general topology

Filter.comap_neBot_iff_compl_range

∀ {α : Type u_1} {β : Type u_2} {f : Filter β} {m : α → β}, (Filter.comap m f).NeBot ↔ (Set.range m)ᶜ ∉ f
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 64 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.comap_eq_bot_iff_compl_range · cited by 2Filter.comap_eq_bot_iff_c…Filter.mem_iff_ultrafilter · cited by 1Filter.mem_iff_ultrafilterSet · cited by 53352SetFilter · cited by 8121FilterSet.range · cited by 4705Set.rangeCompl.compl · cited by 2925Compl.complFilter.NeBot · cited by 853Filter.NeBotFilter.comap · cited by 546Filter.comapFilter.comap_neBot_iff_frequently · cited by 2Filter.comap_neBot_iff_fr…Filter.comap_neBot_iff_compl_…CITED BYCITES

Cites7

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Cited by2

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