helm/software/matita/contribs/procedural/Coq/Bool/Sumbool.mma

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   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  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 "Coq.ma".
  18
  19 include "Init/Prelude.ma".
  20
  21 (*#***********************************************************************)
  22
  23 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
  24
  25 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
  26
  27 (*   \VV/  **************************************************************)
  28
  29 (*    //   *      This file is distributed under the terms of the       *)
  30
  31 (*         *       GNU Lesser General Public License Version 2.1        *)
  32
  33 (*#***********************************************************************)
  34
  35 (*i $Id: Sumbool.v,v 1.12.2.1 2004/07/16 19:31:03 herbelin Exp $ i*)
  36
  37 (*#* Here are collected some results about the type sumbool (see INIT/Specif.v)
  38    [sumbool A B], which is written [{A}+{B}], is the informative
  39    disjunction "A or B", where A and B are logical propositions.
  40    Its extraction is isomorphic to the type of booleans. *)
  41
  42 (*#* A boolean is either [true] or [false], and this is decidable *)
  43
  44 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_of_bool.con" as definition.
  45
  46 (* UNEXPORTED
  47 Hint Resolve sumbool_of_bool: bool.
  48 *)
  49
  50 inline procedural "cic:/Coq/Bool/Sumbool/bool_eq_rec.con" as definition.
  51
  52 inline procedural "cic:/Coq/Bool/Sumbool/bool_eq_ind.con" as definition.
  53
  54 (*i pourquoi ce machin-la est dans BOOL et pas dans LOGIC ?  Papageno i*)
  55
  56 (*#* Logic connectives on type [sumbool] *)
  57
  58 (* UNEXPORTED
  59 Section connectives
  60 *)
  61
  62 (* UNEXPORTED
  63 cic:/Coq/Bool/Sumbool/connectives/A.var
  64 *)
  65
  66 (* UNEXPORTED
  67 cic:/Coq/Bool/Sumbool/connectives/B.var
  68 *)
  69
  70 (* UNEXPORTED
  71 cic:/Coq/Bool/Sumbool/connectives/C.var
  72 *)
  73
  74 (* UNEXPORTED
  75 cic:/Coq/Bool/Sumbool/connectives/D.var
  76 *)
  77
  78 (* UNEXPORTED
  79 cic:/Coq/Bool/Sumbool/connectives/H1.var
  80 *)
  81
  82 (* UNEXPORTED
  83 cic:/Coq/Bool/Sumbool/connectives/H2.var
  84 *)
  85
  86 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_and.con" as definition.
  87
  88 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_or.con" as definition.
  89
  90 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_not.con" as definition.
  91
  92 (* UNEXPORTED
  93 End connectives
  94 *)
  95
  96 (* UNEXPORTED
  97 Hint Resolve sumbool_and sumbool_or sumbool_not: core.
  98 *)
  99
 100 (*#* Any decidability function in type [sumbool] can be turned into a function
 101     returning a boolean with the corresponding specification: *)
 102
 103 inline procedural "cic:/Coq/Bool/Sumbool/bool_of_sumbool.con" as definition.
 104
 105 (* UNEXPORTED
 106 Implicit Arguments bool_of_sumbool.
 107 *)
 108