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Theorems · Theorem · general topology

IsTotallySeparated.isTotallyDisconnected

∀ {α : Type u} [inst : TopologicalSpace α] {s : Set α}, IsTotallySeparated s → IsTotallyDisconnected s

Alias of isTotallyDisconnected_of_isTotallySeparated.

Defined in
Mathlib.Topology.Connected.TotallyDisconnected
Cited by
0 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsTotallyDisconnected · cited by 14IsTotallyDisconnectedIsTotallySeparated · cited by 7IsTotallySeparatedisTotallyDisconnected_of_isTotallySeparated · cited by 1isTotallyDisconnected_of_…IsTotallySeparated.isTotallyD…CITED BYCITES

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