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 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/fta/CPoly_Rev".
19 include "CoRN_notation.ma".
21 (* $Id: CPoly_Rev.v,v 1.3 2004/04/23 10:00:56 lcf Exp $ *)
23 include "algebra/CPoly_Degree.ma".
25 (*#* * Reverse of polynomials
33 %\begin{convention}% Let [R] be a ring, and let [RX] be the
34 polynomials over this ring.
38 inline "cic:/CoRN/fta/CPoly_Rev/R.var".
42 inline "cic:/CoRN/fta/CPoly_Rev/RX.con".
46 inline "cic:/CoRN/fta/CPoly_Rev/monom.con".
48 inline "cic:/CoRN/fta/CPoly_Rev/monom_coeff.con".
50 inline "cic:/CoRN/fta/CPoly_Rev/monom_coeff'.con".
53 Hint Resolve monom_coeff monom_coeff': algebra.
56 inline "cic:/CoRN/fta/CPoly_Rev/monom_degree.con".
58 inline "cic:/CoRN/fta/CPoly_Rev/monom_S.con".
61 Hint Resolve monom_S: algebra.
64 inline "cic:/CoRN/fta/CPoly_Rev/monom_wd_lft.con".
67 Hint Resolve monom_wd_lft: algebra_c.
70 inline "cic:/CoRN/fta/CPoly_Rev/monom_mult'.con".
73 Hint Resolve monom_mult': algebra.
76 inline "cic:/CoRN/fta/CPoly_Rev/monom_mult.con".
78 inline "cic:/CoRN/fta/CPoly_Rev/monom_sum.con".
85 Hint Resolve monom_coeff monom_coeff' monom_mult monom_sum: algebra.
89 Implicit Arguments monom [R].
96 inline "cic:/CoRN/fta/CPoly_Rev/R.var".
100 inline "cic:/CoRN/fta/CPoly_Rev/RX.con".
104 inline "cic:/CoRN/fta/CPoly_Rev/Rev.con".
106 inline "cic:/CoRN/fta/CPoly_Rev/Rev_coeff.con".
108 inline "cic:/CoRN/fta/CPoly_Rev/Rev_coeff'.con".
111 Hint Resolve Rev_coeff Rev_coeff': algebra.
114 inline "cic:/CoRN/fta/CPoly_Rev/Rev_wd.con".
117 Hint Resolve Rev_wd: algebra_c.
120 inline "cic:/CoRN/fta/CPoly_Rev/Rev_rev.con".
123 Hint Resolve Rev_rev: algebra.
126 inline "cic:/CoRN/fta/CPoly_Rev/Rev_degree_le.con".
128 inline "cic:/CoRN/fta/CPoly_Rev/Rev_degree.con".
130 inline "cic:/CoRN/fta/CPoly_Rev/Rev_monom.con".
133 Hint Resolve Rev_monom: algebra.
136 inline "cic:/CoRN/fta/CPoly_Rev/Rev_zero.con".
139 Hint Resolve Rev_zero: algebra.
142 inline "cic:/CoRN/fta/CPoly_Rev/Rev_plus.con".
145 Hint Resolve Rev_plus: algebra.
148 inline "cic:/CoRN/fta/CPoly_Rev/Rev_minus.con".
151 Hint Resolve Rev_minus: algebra.
154 inline "cic:/CoRN/fta/CPoly_Rev/Rev_sum0.con".
157 Hint Resolve Rev_sum0: algebra.
160 inline "cic:/CoRN/fta/CPoly_Rev/Rev_sum.con".
162 inline "cic:/CoRN/fta/CPoly_Rev/Rev_mult.con".
169 Hint Resolve Rev_wd: algebra_c.
173 Hint Resolve Rev_rev Rev_mult: algebra.
177 Implicit Arguments Rev [R].