Question: (ii) Let X and Y be two sets. Define a function F: P(X) x P(Y) - P(X x Y) by: F(A, B) = AX B.

(ii) Let X and Y be two sets. Define a function F: P(X) x P(Y) - P(X x Y) by: F(A, B) = AX B. Is it true that F is injective? In other words, if Al X B1 = A2 X B2, is it true that necessarily A1 = A2 and B1 = B2

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