Theorems · Theorem · general topology
TopologicalSpace.Compacts.continuous_toCloseds
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : T2Space α], Continuous TopologicalSpace.Compacts.toCloseds- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceT2Space
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Continuousstatement · cited by 2,592
- UniformSpacestatement and proof · cited by 2,040
- T2Spacestatement and proof · cited by 1,351
- TopologicalSpace.Compactsstatement · cited by 386
- TopologicalSpace.Closedsstatement · cited by 168
- UniformContinuous.continuousproof · cited by 66
- TopologicalSpace.Compacts.toClosedsstatement · cited by 12
- TopologicalSpace.Compacts.uniformContinuous_toClosedsproof · cited by 1
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