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Copy file name to clipboardExpand all lines: theorems/T000108.md
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uid: T000108
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if:
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and:
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- P000047: true
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- P000234: true
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- P000047: true
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then:
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P000052: true
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---
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If every point has a connected neighborhood and the only connected sets are single points, then every point has a neighborhood consisting of the point itself.
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By {P47} the connected components of $X$ are singletons,
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