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Math Help - proof

  1. #1
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    proof

    if the power set of A is a subset of the power set of B then A is a subset of B

    proof: if X is an element of the power set of A then X is an element of the power set of B. In other words, if X is a subset of A then X is a subset of B. If y is an element of X then y is also an element of A and of B. since y is an element of A and of B, A is a subset of B.

    is this proof correct and clear enough
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  2. #2
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    Quote Originally Posted by leinadwerdna View Post
    if the power set of A is a subset of the power set of B then A is a subset of B
    It is so easy.
    A \in \mathcal{P}(A) \subseteq \mathcal{P}(B)\; \Rightarrow \;A \in \mathcal{P}(B)\; \Rightarrow \;A \subseteq B
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