helm/software/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/algebra/CVectorSpace".
  18
  19 include "CoRN_notation.ma".
  20
  21 (* $Id: CVectorSpace.v,v 1.4 2004/04/23 10:00:54 lcf Exp $ *)
  22
  23 (*#* printing ['] %{'}% #'# *)
  24
  25 include "algebra/CFields.ma".
  26
  27 (*#*
  28 * Vector Spaces
  29
  30 Obsolete but maintained.
  31 *)
  32
  33 (* begin hide *)
  34
  35 (* UNEXPORTED
  36 Set Implicit Arguments.
  37 *)
  38
  39 (* UNEXPORTED
  40 Unset Strict Implicit.
  41 *)
  42
  43 (* end hide *)
  44
  45 inline "cic:/CoRN/algebra/CVectorSpace/VSpace.ind".
  46
  47 coercion "cic:/matita/CoRN-Decl/algebra/CVectorSpace/vs_vs.con" 0 (* compounds *).
  48
  49 (* begin hide *)
  50
  51 (* UNEXPORTED
  52 Set Strict Implicit.
  53 *)
  54
  55 (* UNEXPORTED
  56 Unset Implicit Arguments.
  57 *)
  58
  59 (* end hide *)
  60
  61 (* UNEXPORTED
  62 Hint Resolve vs_assoc vs_unit vs_distl vs_distr: algebra.
  63 *)
  64
  65 (* UNEXPORTED
  66 Implicit Arguments vs_op [F v].
  67 *)
  68
  69 (*#*
  70 %\begin{convention}%
  71 Let [F] be a fiels and let [V] be a vector space over [F]
  72 %\end{convention}%
  73 *)
  74
  75 (* UNEXPORTED
  76 Section VS_basics.
  77 *)
  78
  79 inline "cic:/CoRN/algebra/CVectorSpace/F.var".
  80
  81 inline "cic:/CoRN/algebra/CVectorSpace/V.var".
  82
  83 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_zero.con".
  84
  85 inline "cic:/CoRN/algebra/CVectorSpace/zero_vs_op.con".
  86
  87 (* UNEXPORTED
  88 Hint Resolve vs_op_zero zero_vs_op: algebra.
  89 *)
  90
  91 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_inv_V.con".
  92
  93 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_inv_S.con".
  94
  95 (* UNEXPORTED
  96 Hint Resolve vs_op_inv_V vs_op_inv_S: algebra.
  97 *)
  98
  99 inline "cic:/CoRN/algebra/CVectorSpace/vs_inv_assoc.con".
 100
 101 (* UNEXPORTED
 102 Hint Resolve vs_inv_assoc: algebra.
 103 *)
 104
 105 inline "cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_l.con".
 106
 107 inline "cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_r.con".
 108
 109 (* note this is the same proof as mult_resp_ap_zero *)
 110
 111 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_rht.con".
 112
 113 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_zero.con".
 114
 115 inline "cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_lft.con".
 116
 117 (* UNEXPORTED
 118 End VS_basics.
 119 *)
 120
 121 (* UNEXPORTED
 122 Hint Resolve vs_op_zero zero_vs_op: algebra.
 123 *)
 124