Mathlib Map

Theorems · Theorem · general topology

Filter.not_disjoint_self_iff

∀ {α : Type u} {f : Filter α}, ¬Disjoint f f ↔ f.NeBot
Defined in
Mathlib.Order.Filter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Filter.NeBot.not_disjoint · cited by 0NeBot.not_disjointFilter · cited by 8121FilterBot.bot · cited by 4720Bot.botDisjoint · cited by 2201DisjointFilter.NeBot · cited by 853Filter.NeBotdisjoint_self · cited by 28disjoint_selfFilter.neBot_iff · cited by 27Filter.neBot_iffFilter.not_disjoint_self_iffCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.