Theorems · Theorem · general topology
Finset.closure_biUnion
∀ {X : Type u} [inst : TopologicalSpace X] {ι : Type u_1} (s : Finset ι) (f : ι → Set X),
closure (⋃ i ∈ s, f i) = ⋃ i ∈ s, closure (f i)- Defined in
- Mathlib.Topology.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetstatement and proof · cited by 13,712
- Set.iUnionstatement · cited by 2,483
- closurestatement · cited by 1,254
- Finset.finite_toSetproof · cited by 210
- Set.Finite.closure_biUnionproof · cited by 4
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