Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.mem_toCloseds
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : T2Space α] {x : α} {s : TopologicalSpace.NonemptyCompacts α},
x ∈ s.toCloseds ↔ x ∈ s- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT2Space
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Cites5
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.Closedsstatement · cited by 168
- TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
- TopologicalSpace.NonemptyCompacts.toClosedsstatement · cited by 15
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