Theorems · Theorem · algebraic geometry
Topology.IsConstructible.iUnion
∀ {ι : Sort u_1} {X : Type u_2} [inst : TopologicalSpace X] [Finite ι] {f : ι → Set X},
(∀ (i : ι), Topology.IsConstructible (f i)) → Topology.IsConstructible (⋃ i, f i)- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceFinite
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Cites6
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
- Finitestatement and proof · cited by 3,029
- Set.iUnionstatement · cited by 2,483
- Topology.IsConstructiblestatement and proof · cited by 45
- BooleanSubalgebra.iSup_memproof · cited by 1
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