For any two set a and b prove that P(a)=P(b) implies A=B
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P (A) represents the power set of A.
Subsets of set A are the elements of A
Two sets are equal when they have the same elements.
P(A)=P(B)
The power sets of A and B are equal, this implies subsets of two sets A and B are
equal
Therefore A and B should contain the same elements.
Hence, If P(A)=P(B) then A=B.
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