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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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