- #1
pivoxa15
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Homework Statement
Consider a measure f mapping from a family of sets A to [0,infinity]
Let the measure be finitely additive and countable subadditive.
Prove that f is countably additive on A.
The Attempt at a Solution
To show equality from an inequality we do ie.
a<=b>=a so a=b
I tried this strategy with measures and sets but couldn't see it through. I might need to construct another set but don't see what to construct.