=+12.6. Suppose that u is nonnegative and finitely additive on 2 and that u( Rf) <00. Suppose

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=+12.6. Suppose that u is nonnegative and finitely additive on 2 and that u( Rf) <00.

Suppose further that u( A) = sup ( K), where K ranges over the compact subsets of A. Show that u is countably additive. (Compare Theorem 12.3(ii).)

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