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[helm.git] / matita / contribs / CoRN-Decl / algebra / CVectorSpace.ma

diff --git a/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma b/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 *********************)
+
+set "baseuri" "cic:/matita/CoRN-Decl/algebra/CVectorSpace".
+
+include "CoRN.ma".
+
+(* $Id: CVectorSpace.v,v 1.4 2004/04/23 10:00:54 lcf Exp $ *)
+
+(*#* printing ['] %{'}% #'# *)
+
+include "algebra/CFields.ma".
+
+(*#*
+* Vector Spaces
+
+Obsolete but maintained.
+*)
+
+(* begin hide *)
+
+(* UNEXPORTED
+Set Implicit Arguments.
+*)
+
+(* UNEXPORTED
+Unset Strict Implicit.
+*)
+
+(* end hide *)
+
+inline "cic:/CoRN/algebra/CVectorSpace/VSpace.ind".
+
+coercion cic:/matita/CoRN-Decl/algebra/CVectorSpace/vs_vs.con 0 (* compounds *).
+
+(* begin hide *)
+
+(* UNEXPORTED
+Set Strict Implicit.
+*)
+
+(* UNEXPORTED
+Unset Implicit Arguments.
+*)
+
+(* end hide *)
+
+(* UNEXPORTED
+Hint Resolve vs_assoc vs_unit vs_distl vs_distr: algebra.
+*)
+
+(* UNEXPORTED
+Implicit Arguments vs_op [F v].
+*)
+
+(* NOTATION
+Infix "[']" := vs_op (at level 30, no associativity).
+*)
+
+(*#*
+%\begin{convention}%
+Let [F] be a fiels and let [V] be a vector space over [F]
+%\end{convention}%
+*)
+
+(* UNEXPORTED
+Section VS_basics
+*)
+
+alias id "F" = "cic:/CoRN/algebra/CVectorSpace/VS_basics/F.var".
+
+alias id "V" = "cic:/CoRN/algebra/CVectorSpace/VS_basics/V.var".
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_zero.con".
+
+inline "cic:/CoRN/algebra/CVectorSpace/zero_vs_op.con".
+
+(* UNEXPORTED
+Hint Resolve vs_op_zero zero_vs_op: algebra.
+*)
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_inv_V.con".
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_inv_S.con".
+
+(* UNEXPORTED
+Hint Resolve vs_op_inv_V vs_op_inv_S: algebra.
+*)
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_inv_assoc.con".
+
+(* UNEXPORTED
+Hint Resolve vs_inv_assoc: algebra.
+*)
+
+inline "cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_l.con".
+
+inline "cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_r.con".
+
+(* note this is the same proof as mult_resp_ap_zero *)
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_rht.con".
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_zero.con".
+
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_lft.con".
+
+(* UNEXPORTED
+End VS_basics
+*)
+
+(* UNEXPORTED
+Hint Resolve vs_op_zero zero_vs_op: algebra.
+*)
+