Theorems · Theorem · general topology
TopologicalSpace.Closeds.compactSpace_iff
∀ {α : Type u_1} [inst : UniformSpace α], CompactSpace (TopologicalSpace.Closeds α) ↔ CompactSpace α- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Compl.complproof · cited by 2,925
- UniformSpacestatement and proof · cited by 2,040
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- CompactSpacestatement and proof · cited by 593
- Set.Subset.rflproof · cited by 255
- TopologicalSpace.Closedsstatement and proof · cited by 168
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