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Prove the following proposition: Let be a measure on a -algebra , A n and A n A . Then A and ( A )
Prove the following proposition:
Let be a measure on a -algebra , An and AnA. Then A and (A)=nlim(An) . In particular, if (Bn)n=1 is a decreasing sequence of elements of such that n=1Bn= , then (Bn)0.
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