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Dec 19, 2010 at 19:48 history edited Stefan Hoffelner CC BY-SA 2.5
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Dec 19, 2010 at 19:30 history edited Stefan Hoffelner CC BY-SA 2.5
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Dec 19, 2010 at 19:12 comment added mathahada It still proves the claim that a finite collection of functions can't satisfy the criteria so I think you should edit your post to emphasize that
Dec 19, 2010 at 19:09 history edited Stefan Hoffelner CC BY-SA 2.5
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Dec 19, 2010 at 19:08 comment added Stefan Hoffelner I am sorry and you are right. So please forget my incorrect answer.
Dec 19, 2010 at 19:05 comment added mathahada I don't understand the last paragraph. What if each $A_n$ happens to be set of all those reals larger than $n$?
Dec 19, 2010 at 18:55 history answered Stefan Hoffelner CC BY-SA 2.5