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Theorems · Theorem · general topology

nhdsWithin_iUnion

∀ {α : Type u_1} [inst : TopologicalSpace α] {ι : Sort u_5} [Finite ι] (s : ι → Set α) (a : α),
  nhdsWithin a (⋃ i, s i) = ⨆ i, nhdsWithin a (s i)
Defined in
Mathlib.Topology.NhdsWithin
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Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceFinite

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