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Theorems · Theorem · general topology

isClopen_biInter_finset

∀ {X : Type u} [inst : TopologicalSpace X] {Y : Type u_2} {s : Finset Y} {f : Y → Set X},
  (∀ i ∈ s, IsClopen (f i)) → IsClopen (⋂ i ∈ s, f i)
Defined in
Mathlib.Topology.Clopen
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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