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Theorems · Theorem · general topology

mem_codiscrete_accPt

∀ {X : Type u_1} [inst : TopologicalSpace X] {S : Set X},
  S ∈ Filter.codiscrete X ↔ ∀ (x : X), ¬AccPt x (Filter.principal Sᶜ)
Defined in
Mathlib.Topology.DiscreteSubset
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

Set.Infinite.of_accPt · cited by 2Infinite.of_accPtSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121FilterBot.bot · cited by 4720Bot.botCompl.compl · cited by 2925Compl.complnhdsWithin · cited by 1912nhdsWithinFilter.principal · cited by 740Filter.principalAccPt · cited by 75AccPtFilter.codiscrete · cited by 34Filter.codiscretemem_codiscrete_accPtCITED BYCITES

Cites9

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Cited by1

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