Theorems · Theorem · general topology
baire_of_finite
∀ {X : Type u_1} [inst : TopologicalSpace X] [Finite X], BaireSpace XA finite set is Baire.
- Defined in
- Mathlib.Topology.Baire.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceFinite
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.rangeproof · cited by 4,705
- Finitestatement and proof · cited by 3,029
- IsOpenproof · cited by 2,400
- Denseproof · cited by 359
- Set.toFiniteproof · cited by 174
- BaireSpacestatement · cited by 36
- Set.sInter_rangeproof · cited by 16
- Set.Finite.dense_sInterproof · cited by 1
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