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How do you show that if B is included in C, then the power set of B is included in the power set of C?
To prove that if set B is included in set C, then the power set of B is included in the power set of C, one must start with the definitions of power sets and subsets. The power set of C contains all subsets of C, which inherently includes all subsets of any subset B. Therefore, the power set of B is indeed a subset of the power set of C, establishing the inclusion definitively.
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