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If B is included in C, then the power set of B is included in the power set of C?

by yxgao
Tags: included, power
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yxgao
#1
Feb10-04, 08:18 PM
P: 124
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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Hurkyl
#2
Feb10-04, 10:44 PM
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What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
vadik
#3
Apr6-04, 04:17 PM
P: 23
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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