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

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   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "Coq.ma".
  18
  19 (*#***********************************************************************)
  20
  21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
  22
  23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
  24
  25 (*   \VV/  **************************************************************)
  26
  27 (*    //   *      This file is distributed under the terms of the       *)
  28
  29 (*         *       GNU Lesser General Public License Version 2.1        *)
  30
  31 (*#***********************************************************************)
  32
  33 (*i $Id: Sumbool.v,v 1.12.2.1 2004/07/16 19:31:03 herbelin Exp $ i*)
  34
  35 (*#* Here are collected some results about the type sumbool (see INIT/Specif.v)
  36    [sumbool A B], which is written [{A}+{B}], is the informative
  37    disjunction "A or B", where A and B are logical propositions.
  38    Its extraction is isomorphic to the type of booleans. *)
  39
  40 (*#* A boolean is either [true] or [false], and this is decidable *)
  41
  42 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_of_bool.con" as definition.
  43
  44 (* UNEXPORTED
  45 Hint Resolve sumbool_of_bool: bool.
  46 *)
  47
  48 inline procedural "cic:/Coq/Bool/Sumbool/bool_eq_rec.con" as definition.
  49
  50 inline procedural "cic:/Coq/Bool/Sumbool/bool_eq_ind.con" as definition.
  51
  52 (*i pourquoi ce machin-la est dans BOOL et pas dans LOGIC ?  Papageno i*)
  53
  54 (*#* Logic connectives on type [sumbool] *)
  55
  56 (* UNEXPORTED
  57 Section connectives
  58 *)
  59
  60 (* UNEXPORTED
  61 cic:/Coq/Bool/Sumbool/connectives/A.var
  62 *)
  63
  64 (* UNEXPORTED
  65 cic:/Coq/Bool/Sumbool/connectives/B.var
  66 *)
  67
  68 (* UNEXPORTED
  69 cic:/Coq/Bool/Sumbool/connectives/C.var
  70 *)
  71
  72 (* UNEXPORTED
  73 cic:/Coq/Bool/Sumbool/connectives/D.var
  74 *)
  75
  76 (* UNEXPORTED
  77 cic:/Coq/Bool/Sumbool/connectives/H1.var
  78 *)
  79
  80 (* UNEXPORTED
  81 cic:/Coq/Bool/Sumbool/connectives/H2.var
  82 *)
  83
  84 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_and.con" as definition.
  85
  86 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_or.con" as definition.
  87
  88 inline procedural "cic:/Coq/Bool/Sumbool/sumbool_not.con" as definition.
  89
  90 (* UNEXPORTED
  91 End connectives
  92 *)
  93
  94 (* UNEXPORTED
  95 Hint Resolve sumbool_and sumbool_or sumbool_not: core.
  96 *)
  97
  98 (*#* Any decidability function in type [sumbool] can be turned into a function
  99     returning a boolean with the corresponding specification: *)
 100
 101 inline procedural "cic:/Coq/Bool/Sumbool/bool_of_sumbool.con" as definition.
 102
 103 (* UNEXPORTED
 104 Implicit Arguments bool_of_sumbool.
 105 *)
 106