Question: Prove that if A 1 , A 2 , . . . , An and B 1 , B 2 , . . . ,

Prove that if A1, A2,..., An and B1, B2,..., Bn are sets
such that Aj Bj for j =1,2,..., n, then
n
j=1
Aj
n
j=1
Bj.

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