(**************************************************************************) (* ___ *) (* ||M|| *) (* ||A|| A project by Andrea Asperti *) (* ||T|| *) (* ||I|| Developers: *) (* ||T|| The HELM team. *) (* ||A|| http://helm.cs.unibo.it *) (* \ / *) (* \ / This file is distributed under the terms of the *) (* v GNU General Public License Version 2 *) (* *) (**************************************************************************) (* This file was automatically generated: do not edit *********************) include "CoRN.ma". (* $Id: FTA.v,v 1.6 2004/04/23 10:00:57 lcf Exp $ *) include "fta/CPoly_Rev.ma". include "fta/FTAreg.ma". (*#* * Fundamental Theorem of Algebra %\begin{convention}% Let [n:nat] and [f] be a complex polynomial of degree [(S n)]. %\end{convention}% *) (* UNEXPORTED Section FTA_reg' *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_reg'/f.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_reg'/n.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_reg'/f_degree.var *) inline procedural "cic:/CoRN/fta/FTA/FTA_reg'.con" as lemma. (* UNEXPORTED End FTA_reg' *) (*#* %\begin{convention}% Let [n:nat], [f] be a complex polynomial of degree less than or equal to [(S n)] and [c] be a complex number such that [f!c [#] Zero]. %\end{convention}% *) (* UNEXPORTED Section FTA_1 *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_1/f.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_1/n.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_1/f_degree.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_1/c.var *) (* UNEXPORTED cic:/CoRN/fta/FTA/FTA_1/f_c.var *) inline procedural "cic:/CoRN/fta/FTA/FTA_1a.con" as lemma. inline procedural "cic:/CoRN/fta/FTA/FTA_1/g.con" "FTA_1__" as definition. inline procedural "cic:/CoRN/fta/FTA/FTA_1b.con" as lemma. inline procedural "cic:/CoRN/fta/FTA/FTA_1.con" as lemma. inline procedural "cic:/CoRN/fta/FTA/FTA_1'.con" as lemma. (* UNEXPORTED End FTA_1 *) (* UNEXPORTED Section Fund_Thm_Alg *) inline procedural "cic:/CoRN/fta/FTA/FTA'.con" as lemma. inline procedural "cic:/CoRN/fta/FTA/FTA.con" as lemma. inline procedural "cic:/CoRN/fta/FTA/FTA_a_la_Henk.con" as lemma. (* UNEXPORTED End Fund_Thm_Alg *)