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Correct to Re: Tarski's metatheorem ....



Hi,
I maked a mistake in my previous message:
  
> 1)For each polynomial f: if (a<b and a,b \in K) f(a).f(b)<0, then 
>   there exists c\in K: a<c<b such that  f(c)=0;  (continuous property)
> 2)For each polynomial f: if f(c)=f(d)=0, then there exists t\in K
>   such that f'(t)=0.

In 2) we require more that c<t<d; (c<d and c,d \in K) 
(In R, it's a consequence of Roll's theorem, i.e. f(d)-f(c)=f'(t).(d-c)). 

cheers,
SN 
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