helm/software/matita/contribs/CoRN-Procedural/algebra/CSetoidInc.mma

   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 include "CoRN.ma".
  18
  19 (* $Id: CSetoidInc.v,v 1.3 2004/04/22 14:49:43 lcf Exp $ *)
  20
  21 (*#* printing included %\ensuremath{\subseteq}% #&sube;# *)
  22
  23 include "algebra/CSetoidFun.ma".
  24
  25 (* UNEXPORTED
  26 Section inclusion
  27 *)
  28
  29 (*#* ** Inclusion
  30
  31 Let [S] be a setoid, and [P], [Q], [R] be predicates on [S]. *)
  32
  33 alias id "S" = "cic:/CoRN/algebra/CSetoidInc/inclusion/S.var".
  34
  35 inline procedural "cic:/CoRN/algebra/CSetoidInc/included.con".
  36
  37 (* UNEXPORTED
  38 Section Basics
  39 *)
  40
  41 alias id "P" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/P.var".
  42
  43 alias id "Q" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/Q.var".
  44
  45 alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/R.var".
  46
  47 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_refl.con".
  48
  49 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_trans.con".
  50
  51 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_conj.con".
  52
  53 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_conj'.con".
  54
  55 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_conj''.con".
  56
  57 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_conj_lft.con".
  58
  59 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_conj_rht.con".
  60
  61 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_extend.con".
  62
  63 (* UNEXPORTED
  64 End Basics
  65 *)
  66
  67 (*#*
  68 %\begin{convention}% Let [I,R:S->CProp] and [F G:(PartFunct S)], and denote
  69 by [P] and [Q], respectively, the domains of [F] and [G].
  70 %\end{convention}%
  71 *)
  72
  73 alias id "F" = "cic:/CoRN/algebra/CSetoidInc/inclusion/F.var".
  74
  75 alias id "G" = "cic:/CoRN/algebra/CSetoidInc/inclusion/G.var".
  76
  77 (* begin hide *)
  78
  79 inline procedural "cic:/CoRN/algebra/CSetoidInc/inclusion/P.con" "inclusion__".
  80
  81 inline procedural "cic:/CoRN/algebra/CSetoidInc/inclusion/Q.con" "inclusion__".
  82
  83 (* end hide *)
  84
  85 alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/R.var".
  86
  87 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_FComp.con".
  88
  89 inline procedural "cic:/CoRN/algebra/CSetoidInc/included_FComp'.con".
  90
  91 (* UNEXPORTED
  92 End inclusion
  93 *)
  94
  95 (* UNEXPORTED
  96 Implicit Arguments included [S].
  97 *)
  98
  99 (* UNEXPORTED
 100 Hint Resolve included_refl included_FComp : included.
 101 *)
 102
 103 (* UNEXPORTED
 104 Hint Immediate included_trans included_FComp' : included.
 105 *)
 106