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if B is included in C, then the power set of B is included in the power set of C? |
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| Feb10-04, 08:18 PM | #1 |
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if B is included in C, then the power set of B is included in the power set of C?
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?
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| Feb10-04, 10:44 PM | #2 |
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What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
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| Apr6-04, 04:17 PM | #3 |
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Power set of C includes all subsets of C, which means that it also includes all subsets of a subset (B). Thus it includes the power set of B.
Is this formal enough? |
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