helm/software/matita/contribs/procedural/Coq/Num/AddProps.mma

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   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                  *)
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  13 (**************************************************************************)
  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___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
  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 include "Num/Axioms.ma".
  34
  35 include "Num/EqAxioms.ma".
  36
  37 (*#* This file contains basic properties of addition with respect to equality *)
  38
  39 (*#* Properties of Addition *)
  40
  41 inline procedural "cic:/Coq/Num/AddProps/add_x_0.con" as lemma.
  42
  43 (* UNEXPORTED
  44 Hints Resolve add_x_0 : num.
  45 *)
  46
  47 inline procedural "cic:/Coq/Num/AddProps/add_x_Sy.con" as lemma.
  48
  49 (* UNEXPORTED
  50 Hints Resolve add_x_Sy : num.
  51 *)
  52
  53 inline procedural "cic:/Coq/Num/AddProps/add_x_Sy_swap.con" as lemma.
  54
  55 (* UNEXPORTED
  56 Hints Resolve add_x_Sy_swap : num.
  57 *)
  58
  59 inline procedural "cic:/Coq/Num/AddProps/add_Sx_y_swap.con" as lemma.
  60
  61 (* UNEXPORTED
  62 Hints Resolve add_Sx_y_swap : num.
  63 *)
  64
  65 inline procedural "cic:/Coq/Num/AddProps/add_assoc_r.con" as lemma.
  66
  67 (* UNEXPORTED
  68 Hints Resolve add_assoc_r : num.
  69 *)
  70
  71 inline procedural "cic:/Coq/Num/AddProps/add_x_y_z_perm.con" as lemma.
  72
  73 (* UNEXPORTED
  74 Hints Resolve add_x_y_z_perm : num.
  75 *)
  76
  77 inline procedural "cic:/Coq/Num/AddProps/add_x_one_S.con" as lemma.
  78
  79 (* UNEXPORTED
  80 Hints Resolve add_x_one_S : num.
  81 *)
  82
  83 inline procedural "cic:/Coq/Num/AddProps/add_one_x_S.con" as lemma.
  84
  85 (* UNEXPORTED
  86 Hints Resolve add_one_x_S : num.
  87 *)
  88