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 (* $Id: CVectorSpace.v,v 1.4 2004/04/23 10:00:54 lcf Exp $ *)
  20
  21 (*#* printing ['] %{'}% #'# *)
  22
  23 (* INCLUDE
  24 CFields
  25 *)
  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 (* begin hide *)
  48
  49 (* UNEXPORTED
  50 Set Strict Implicit.
  51 *)
  52
  53 (* UNEXPORTED
  54 Unset Implicit Arguments.
  55 *)
  56
  57 (* end hide *)
  58
  59 (* UNEXPORTED
  60 Hint Resolve vs_assoc vs_unit vs_distl vs_distr: algebra.
  61 *)
  62
  63 (* UNEXPORTED
  64 Implicit Arguments vs_op [F v].
  65 *)
  66
  67 (*#*
  68 %\begin{convention}%
  69 Let [F] be a fiels and let [V] be a vector space over [F]
  70 %\end{convention}%
  71 *)
  72
  73 (* UNEXPORTED
  74 Section VS_basics.
  75 *)
  76
  77 inline cic:/CoRN/algebra/CVectorSpace/F.var.
  78
  79 inline cic:/CoRN/algebra/CVectorSpace/V.var.
  80
  81 inline cic:/CoRN/algebra/CVectorSpace/vs_op_zero.con.
  82
  83 inline cic:/CoRN/algebra/CVectorSpace/zero_vs_op.con.
  84
  85 (* UNEXPORTED
  86 Hint Resolve vs_op_zero zero_vs_op: algebra.
  87 *)
  88
  89 inline cic:/CoRN/algebra/CVectorSpace/vs_op_inv_V.con.
  90
  91 inline cic:/CoRN/algebra/CVectorSpace/vs_op_inv_S.con.
  92
  93 (* UNEXPORTED
  94 Hint Resolve vs_op_inv_V vs_op_inv_S: algebra.
  95 *)
  96
  97 inline cic:/CoRN/algebra/CVectorSpace/vs_inv_assoc.con.
  98
  99 (* UNEXPORTED
 100 Hint Resolve vs_inv_assoc: algebra.
 101 *)
 102
 103 inline cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_l.con.
 104
 105 inline cic:/CoRN/algebra/CVectorSpace/ap_zero_vs_op_r.con.
 106
 107 (* note this is the same proof as mult_resp_ap_zero *)
 108
 109 inline cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_rht.con.
 110
 111 inline cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_zero.con.
 112
 113 inline cic:/CoRN/algebra/CVectorSpace/vs_op_resp_ap_lft.con.
 114
 115 (* UNEXPORTED
 116 End VS_basics.
 117 *)
 118
 119 (* UNEXPORTED
 120 Hint Resolve vs_op_zero zero_vs_op: algebra.
 121 *)
 122