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Theorems · Theorem · general topology

DenseRange.nhdsWithin_neBot

∀ {α : Type u_1} [inst : TopologicalSpace α] {ι : Type u_5} {f : ι → α},
  DenseRange f → ∀ (x : α), (nhdsWithin x (Set.range f)).NeBot
Defined in
Mathlib.Topology.NhdsWithin
Cited by
2 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsDenseInducing.nhdsWithin_neBot · cited by 0IsDenseInducing.nhdsWithi…completeSpace_extension · cited by 0completeSpace_extensionTopologicalSpace · cited by 24529TopologicalSpaceSet.range · cited by 4705Set.rangenhdsWithin · cited by 1912nhdsWithinFilter.NeBot · cited by 853Filter.NeBotDenseRange · cited by 164DenseRangemem_closure_iff_clusterPt · cited by 16mem_closure_iff_clusterPtDenseRange.nhdsWithin_neBotCITED BYCITES

Cites6

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Cited by2

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