SOLUTION: If A is subset of B then how can i prove that power set of A is a subset of B?

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Question 767264: If A is subset of B then how can i prove that power set of A is a subset of B?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
If A is a subset of B, then by definition all elements of A are elements of B.


If P(A) is a power set of A, then by definition P(A) is a set of all subsets of A. Thus all elements of P(A) are elements of A. Thus all elements of P(A) are also elements of B.