Theorems · Theorem · algebraic geometry
IsRetrocompact.biInter
∀ {X : Type u_2} [inst : TopologicalSpace X] [T2Space X] {ι : Type u_4} {f : ι → Set X} {t : Set ι},
t.Finite → (∀ i ∈ t, IsRetrocompact (f i)) → IsRetrocompact (⋂ i ∈ t, f i)- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT2Space
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Cites8
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
- Set.Finitestatement and proof · cited by 1,814
- T2Spacestatement and proof · cited by 1,351
- Set.iInterstatement · cited by 1,084
- IsRetrocompactstatement and proof · cited by 43
- IsRetrocompact.univproof · cited by 4
- InfClosed.biInf_memproof · cited by 2
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