Theorems · Theorem · general topology
isTotallyDisconnected_singleton
∀ {α : Type u} [inst : TopologicalSpace α] {x : α}, IsTotallyDisconnected {x}- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsPreconnectedproof · cited by 205
- Set.subsingleton_singletonproof · cited by 36
- IsTotallyDisconnectedstatement · cited by 14
- Set.Subsingleton.antiproof · cited by 13
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