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Theorems · Theorem · general topology

Filter.comap_eq_bot_iff_compl_range

∀ {α : Type u_1} {β : Type u_2} {f : Filter β} {m : α → β}, Filter.comap m f = ⊥ ↔ (Set.range m)ᶜ ∈ f
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 65 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.

Topology.IsInducing.sumElim · cited by 2IsInducing.sumElimFilter.comap_surjective_eq_bot · cited by 1Filter.comap_surjective_e…Set · cited by 53352SetFilter · cited by 8121FilterBot.bot · cited by 4720Bot.botSet.range · cited by 4705Set.rangeCompl.compl · cited by 2925Compl.complFilter.comap · cited by 546Filter.comapnot_iff_not · cited by 159not_iff_notFilter.neBot_iff · cited by 27Filter.neBot_iffFilter.comap_neBot_iff_compl_range · cited by 2Filter.comap_neBot_iff_co…Filter.comap_eq_bot_iff_compl…CITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.