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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 "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 (*i     $Id: Addr.v,v 1.8 2003/11/29 17:28:31 herbelin Exp $     i*)
34
35 (*#* Representation of adresses by the [positive] type of binary numbers *)
36
37 include "Bool/Bool.ma".
38
39 include "ZArith/ZArith.ma".
40
41 inline procedural "cic:/Coq/IntMap/Addr/ad.ind".
42
43 inline procedural "cic:/Coq/IntMap/Addr/ad_sum.con" as lemma.
44
45 inline procedural "cic:/Coq/IntMap/Addr/p_xor.con" as definition.
46
47 inline procedural "cic:/Coq/IntMap/Addr/ad_xor.con" as definition.
48
49 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_left.con" as lemma.
50
51 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_right.con" as lemma.
52
53 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_comm.con" as lemma.
54
55 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_nilpotent.con" as lemma.
56
57 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_1.con" as definition.
58
59 inline procedural "cic:/Coq/IntMap/Addr/ad_bit.con" as definition.
60
61 inline procedural "cic:/Coq/IntMap/Addr/eqf.con" as definition.
62
63 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_1.con" as lemma.
64
65 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_2.con" as lemma.
66
67 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_3.con" as lemma.
68
69 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_4.con" as lemma.
70
71 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful.con" as lemma.
72
73 inline procedural "cic:/Coq/IntMap/Addr/adf_xor.con" as definition.
74
75 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_1.con" as lemma.
76
77 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_2.con" as lemma.
78
79 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_3.con" as lemma.
80
81 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_4.con" as lemma.
82
83 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_5.con" as lemma.
84
85 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_6.con" as lemma.
86
87 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_semantics.con" as lemma.
88
89 inline procedural "cic:/Coq/IntMap/Addr/eqf_sym.con" as lemma.
90
91 inline procedural "cic:/Coq/IntMap/Addr/eqf_refl.con" as lemma.
92
93 inline procedural "cic:/Coq/IntMap/Addr/eqf_trans.con" as lemma.
94
95 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_eq.con" as lemma.
96
97 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_eq.con" as lemma.
98
99 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_assoc.con" as lemma.
100
101 inline procedural "cic:/Coq/IntMap/Addr/eqf_xor_1.con" as lemma.
102
103 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_assoc.con" as lemma.
104
105 inline procedural "cic:/Coq/IntMap/Addr/ad_double.con" as definition.
106
107 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un.con" as definition.
108
109 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2.con" as definition.
110
111 inline procedural "cic:/Coq/IntMap/Addr/ad_double_div_2.con" as lemma.
112
113 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_div_2.con" as lemma.
114
115 inline procedural "cic:/Coq/IntMap/Addr/ad_double_inj.con" as lemma.
116
117 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_inj.con" as lemma.
118
119 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0.con" as definition.
120
121 inline procedural "cic:/Coq/IntMap/Addr/ad_double_bit_0.con" as lemma.
122
123 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_bit_0.con" as lemma.
124
125 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double.con" as lemma.
126
127 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double_plus_un.con" as lemma.
128
129 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0_correct.con" as lemma.
130
131 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_correct.con" as lemma.
132
133 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_bit_0.con" as lemma.
134
135 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_div_2.con" as lemma.
136
137 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0.con" as lemma.
138
139 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_1.con" as lemma.
140
141 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_2.con" as lemma.
142
143 inline procedural "cic:/Coq/IntMap/Addr/ad_same_bit_0.con" as lemma.
144