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Question:
Assume that P ( A ) = P ( B ). Show that A = B
Answer:

Given that

                P(A) = P(B)

let us suppose that x ∈ A

=> x ⊂ P(A)

=> x ⊂ P(B)     (since P(A) = P(B) )

=> x ∈ B

So A = B

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