1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: FTA.v,v 1.6 2004/04/23 10:00:57 lcf Exp $ *)
21 include "fta/CPoly_Rev.ma".
23 include "fta/FTAreg.ma".
25 (*#* * Fundamental Theorem of Algebra
26 %\begin{convention}% Let [n:nat] and [f] be a complex polynomial of
36 cic:/CoRN/fta/FTA/FTA_reg'/f.var
40 cic:/CoRN/fta/FTA/FTA_reg'/n.var
44 cic:/CoRN/fta/FTA/FTA_reg'/f_degree.var
47 inline procedural "cic:/CoRN/fta/FTA/FTA_reg'.con" as lemma.
54 %\begin{convention}% Let [n:nat], [f] be a complex polynomial of degree
55 less than or equal to [(S n)] and [c] be a complex number such that
65 cic:/CoRN/fta/FTA/FTA_1/f.var
69 cic:/CoRN/fta/FTA/FTA_1/n.var
73 cic:/CoRN/fta/FTA/FTA_1/f_degree.var
77 cic:/CoRN/fta/FTA/FTA_1/c.var
81 cic:/CoRN/fta/FTA/FTA_1/f_c.var
84 inline procedural "cic:/CoRN/fta/FTA/FTA_1a.con" as lemma.
86 inline procedural "cic:/CoRN/fta/FTA/FTA_1/g.con" "FTA_1__" as definition.
88 inline procedural "cic:/CoRN/fta/FTA/FTA_1b.con" as lemma.
90 inline procedural "cic:/CoRN/fta/FTA/FTA_1.con" as lemma.
92 inline procedural "cic:/CoRN/fta/FTA/FTA_1'.con" as lemma.
102 inline procedural "cic:/CoRN/fta/FTA/FTA'.con" as lemma.
104 inline procedural "cic:/CoRN/fta/FTA/FTA.con" as lemma.
106 inline procedural "cic:/CoRN/fta/FTA/FTA_a_la_Henk.con" as lemma.