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OpenStudy (anonymous):
Suppose you have a collection of functions (f_1,f_2,...,f_m) and you make the following statement: f_1>=0 for all k with strict inequality for some k. If you negate this you get (?): there exists some k such that f_k<0. Do I have to put any restriction on the behavior of the remaining functions (different from k) or I can keep assuming that they are all nonnegative?
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