If En↓E and μ(E1)<∞, then μ(En)↓μ(E). Apply continuity from below of a measure to the increasing differences E1∖En.
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- Continuity of probability
- Cumulative distribution function
- Cumulative measure of a finite-measure set
- Gaussian tails force an unbounded normalized partial-sum limsup
- Generalized Cantor set
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