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Prove that if A1,A2,... and B1,B2 ... are sets with Ai Bi for i N then n [ i=1 Ai n [ i=1 Bi for

Prove that if A1,A2,... and B1,B2 ... are sets with Ai Bi for i N then n [ i=1 Ai n [ i=1 Bi for all i N.

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