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
-CFields
-*)
+include "algebra/CFields.ma".
(*#*
* Vector Spaces
(* end hide *)
-inline cic:/CoRN/algebra/CVectorSpace/VSpace.ind.
+inline "cic:/CoRN/algebra/CVectorSpace/VSpace.ind".
+
+coercion cic:/matita/CoRN-Decl/algebra/CVectorSpace/vs_vs.con 0 (* compounds *).
(* begin hide *)
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]
*)
(* UNEXPORTED
-Section VS_basics.
+Section VS_basics
*)
-inline cic:/CoRN/algebra/CVectorSpace/F.var.
+alias id "F" = "cic:/CoRN/algebra/CVectorSpace/VS_basics/F.var".
-inline cic:/CoRN/algebra/CVectorSpace/V.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/vs_op_zero.con".
-inline cic:/CoRN/algebra/CVectorSpace/zero_vs_op.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_V.con".
-inline cic:/CoRN/algebra/CVectorSpace/vs_op_inv_S.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.
+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_l.con".
-inline cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_r.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_rht.con".
-inline cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_zero.con.
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_zero.con".
-inline cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_lft.con.
+inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_lft.con".
(* UNEXPORTED
-End VS_basics.
+End VS_basics
*)
(* UNEXPORTED