Let \( B \) be a subset of \( A \) and let \( P(A: B)=\{X \in P(A):...

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Let \( B \) be a subset of \( A \) and
let \( P(A: B)=\{X \in P(A): X \supset B\} \)
Show that \( \mathrm{P}(\mathrm{A}: \phi)=\mathrm{P}(\mathrm{A}) \).
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