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generalise t848
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theorems/T000848.md

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if:
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P000090: true
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then:
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P000230: true
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P000223: true
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refs:
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- mathse: 2965374
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name: Answer to "Are minimal neighborhoods in an Alexandrov topology path-connected?"
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---
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For each point $x \in X$, the minimal neighborhood $U_x$ of $x$ is open and {P199} (see {{mathse:2965374}}). By {T583}, $U_x$ is {P200}.
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See {{mathse:2965374}}.

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