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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
19 (*#**********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
25 (* \VV/ *************************************************************)
27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#**********************************************************************)
33 (*i $Id: Addr.v,v 1.8 2003/11/29 17:28:31 herbelin Exp $ i*)
35 (*#* Representation of adresses by the [positive] type of binary numbers *)
37 include "Bool/Bool.ma".
39 include "ZArith/ZArith.ma".
41 inline procedural "cic:/Coq/IntMap/Addr/ad.ind".
43 inline procedural "cic:/Coq/IntMap/Addr/ad_sum.con" as lemma.
45 inline procedural "cic:/Coq/IntMap/Addr/p_xor.con" as definition.
47 inline procedural "cic:/Coq/IntMap/Addr/ad_xor.con" as definition.
49 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_left.con" as lemma.
51 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_neutral_right.con" as lemma.
53 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_comm.con" as lemma.
55 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_nilpotent.con" as lemma.
57 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_1.con" as definition.
59 inline procedural "cic:/Coq/IntMap/Addr/ad_bit.con" as definition.
61 inline procedural "cic:/Coq/IntMap/Addr/eqf.con" as definition.
63 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_1.con" as lemma.
65 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_2.con" as lemma.
67 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_3.con" as lemma.
69 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful_4.con" as lemma.
71 inline procedural "cic:/Coq/IntMap/Addr/ad_faithful.con" as lemma.
73 inline procedural "cic:/Coq/IntMap/Addr/adf_xor.con" as definition.
75 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_1.con" as lemma.
77 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_2.con" as lemma.
79 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_3.con" as lemma.
81 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_4.con" as lemma.
83 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_5.con" as lemma.
85 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_sem_6.con" as lemma.
87 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_semantics.con" as lemma.
89 inline procedural "cic:/Coq/IntMap/Addr/eqf_sym.con" as lemma.
91 inline procedural "cic:/Coq/IntMap/Addr/eqf_refl.con" as lemma.
93 inline procedural "cic:/Coq/IntMap/Addr/eqf_trans.con" as lemma.
95 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_eq.con" as lemma.
97 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_eq.con" as lemma.
99 inline procedural "cic:/Coq/IntMap/Addr/adf_xor_assoc.con" as lemma.
101 inline procedural "cic:/Coq/IntMap/Addr/eqf_xor_1.con" as lemma.
103 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_assoc.con" as lemma.
105 inline procedural "cic:/Coq/IntMap/Addr/ad_double.con" as definition.
107 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un.con" as definition.
109 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2.con" as definition.
111 inline procedural "cic:/Coq/IntMap/Addr/ad_double_div_2.con" as lemma.
113 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_div_2.con" as lemma.
115 inline procedural "cic:/Coq/IntMap/Addr/ad_double_inj.con" as lemma.
117 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_inj.con" as lemma.
119 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0.con" as definition.
121 inline procedural "cic:/Coq/IntMap/Addr/ad_double_bit_0.con" as lemma.
123 inline procedural "cic:/Coq/IntMap/Addr/ad_double_plus_un_bit_0.con" as lemma.
125 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double.con" as lemma.
127 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_double_plus_un.con" as lemma.
129 inline procedural "cic:/Coq/IntMap/Addr/ad_bit_0_correct.con" as lemma.
131 inline procedural "cic:/Coq/IntMap/Addr/ad_div_2_correct.con" as lemma.
133 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_bit_0.con" as lemma.
135 inline procedural "cic:/Coq/IntMap/Addr/ad_xor_div_2.con" as lemma.
137 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0.con" as lemma.
139 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_1.con" as lemma.
141 inline procedural "cic:/Coq/IntMap/Addr/ad_neg_bit_0_2.con" as lemma.
143 inline procedural "cic:/Coq/IntMap/Addr/ad_same_bit_0.con" as lemma.