Theorems · Theorem · general topology
TopologicalSpace.Compacts.toCloseds_singleton
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : T2Space α] (x : α), {x}.toCloseds = {x}- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT2Space
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- T2Spacestatement and proof · cited by 1,351
- TopologicalSpace.Compactsstatement · cited by 386
- TopologicalSpace.Closedsstatement · cited by 168
- TopologicalSpace.Compacts.toClosedsstatement · cited by 12
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