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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___,, * 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: Mapsubset.v,v 1.4.2.1 2004/07/16 19:31:05 herbelin Exp $    i*)
34
35 include "Bool/Bool.ma".
36
37 include "Bool/Sumbool.ma".
38
39 include "Arith/Arith.ma".
40
41 include "ZArith/ZArith.ma".
42
43 include "IntMap/Addr.ma".
44
45 include "IntMap/Adist.ma".
46
47 include "IntMap/Addec.ma".
48
49 include "IntMap/Map.ma".
50
51 include "IntMap/Fset.ma".
52
53 include "IntMap/Mapaxioms.ma".
54
55 include "IntMap/Mapiter.ma".
56
57 (* UNEXPORTED
58 Section MapSubsetDef
59 *)
60
61 (* UNEXPORTED
62 cic:/Coq/IntMap/Mapsubset/MapSubsetDef/A.var
63 *)
64
65 (* UNEXPORTED
66 cic:/Coq/IntMap/Mapsubset/MapSubsetDef/B.var
67 *)
68
69 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset.con" as definition.
70
71 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_1.con" as definition.
72
73 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_2.con" as definition.
74
75 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_imp_1.con" as lemma.
76
77 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_1_imp.con" as lemma.
78
79 inline procedural "cic:/Coq/IntMap/Mapsubset/map_dom_empty_1.con" as lemma.
80
81 inline procedural "cic:/Coq/IntMap/Mapsubset/map_dom_empty_2.con" as lemma.
82
83 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_imp_2.con" as lemma.
84
85 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_2_imp.con" as lemma.
86
87 (* UNEXPORTED
88 End MapSubsetDef
89 *)
90
91 (* UNEXPORTED
92 Section MapSubsetOrder
93 *)
94
95 (* UNEXPORTED
96 cic:/Coq/IntMap/Mapsubset/MapSubsetOrder/A.var
97 *)
98
99 (* UNEXPORTED
100 cic:/Coq/IntMap/Mapsubset/MapSubsetOrder/B.var
101 *)
102
103 (* UNEXPORTED
104 cic:/Coq/IntMap/Mapsubset/MapSubsetOrder/C.var
105 *)
106
107 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_refl.con" as lemma.
108
109 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_antisym.con" as lemma.
110
111 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_trans.con" as lemma.
112
113 (* UNEXPORTED
114 End MapSubsetOrder
115 *)
116
117 (* UNEXPORTED
118 Section FSubsetOrder
119 *)
120
121 inline procedural "cic:/Coq/IntMap/Mapsubset/FSubset_refl.con" as lemma.
122
123 inline procedural "cic:/Coq/IntMap/Mapsubset/FSubset_antisym.con" as lemma.
124
125 inline procedural "cic:/Coq/IntMap/Mapsubset/FSubset_trans.con" as lemma.
126
127 (* UNEXPORTED
128 End FSubsetOrder
129 *)
130
131 (* UNEXPORTED
132 Section MapSubsetExtra
133 *)
134
135 (* UNEXPORTED
136 cic:/Coq/IntMap/Mapsubset/MapSubsetExtra/A.var
137 *)
138
139 (* UNEXPORTED
140 cic:/Coq/IntMap/Mapsubset/MapSubsetExtra/B.var
141 *)
142
143 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Dom_1.con" as lemma.
144
145 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Dom_2.con" as lemma.
146
147 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_1_Dom.con" as lemma.
148
149 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Put.con" as lemma.
150
151 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Put_mono.con" as lemma.
152
153 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Put_behind.con" as lemma.
154
155 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Put_behind_mono.con" as lemma.
156
157 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Remove.con" as lemma.
158
159 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Remove_mono.con" as lemma.
160
161 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Merge_l.con" as lemma.
162
163 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Merge_r.con" as lemma.
164
165 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Merge_mono.con" as lemma.
166
167 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_DomRestrTo_l.con" as lemma.
168
169 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_DomRestrTo_r.con" as lemma.
170
171 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_ext.con" as lemma.
172
173 (* UNEXPORTED
174 cic:/Coq/IntMap/Mapsubset/MapSubsetExtra/C.var
175 *)
176
177 (* UNEXPORTED
178 cic:/Coq/IntMap/Mapsubset/MapSubsetExtra/D.var
179 *)
180
181 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_DomRestrTo_mono.con" as lemma.
182
183 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_DomRestrBy_l.con" as lemma.
184
185 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_DomRestrBy_mono.con" as lemma.
186
187 (* UNEXPORTED
188 End MapSubsetExtra
189 *)
190
191 (* UNEXPORTED
192 Section MapDisjointDef
193 *)
194
195 (* UNEXPORTED
196 cic:/Coq/IntMap/Mapsubset/MapDisjointDef/A.var
197 *)
198
199 (* UNEXPORTED
200 cic:/Coq/IntMap/Mapsubset/MapDisjointDef/B.var
201 *)
202
203 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint.con" as definition.
204
205 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_1.con" as definition.
206
207 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_2.con" as definition.
208
209 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_imp_1.con" as lemma.
210
211 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_1_imp.con" as lemma.
212
213 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_imp_2.con" as lemma.
214
215 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_2_imp.con" as lemma.
216
217 inline procedural "cic:/Coq/IntMap/Mapsubset/Map_M0_disjoint.con" as lemma.
218
219 inline procedural "cic:/Coq/IntMap/Mapsubset/Map_disjoint_M0.con" as lemma.
220
221 (* UNEXPORTED
222 End MapDisjointDef
223 *)
224
225 (* UNEXPORTED
226 Section MapDisjointExtra
227 *)
228
229 (* UNEXPORTED
230 cic:/Coq/IntMap/Mapsubset/MapDisjointExtra/A.var
231 *)
232
233 (* UNEXPORTED
234 cic:/Coq/IntMap/Mapsubset/MapDisjointExtra/B.var
235 *)
236
237 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_ext.con" as lemma.
238
239 inline procedural "cic:/Coq/IntMap/Mapsubset/MapMerge_disjoint.con" as lemma.
240
241 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M2_l.con" as lemma.
242
243 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M2_r.con" as lemma.
244
245 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M2.con" as lemma.
246
247 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M1_l.con" as lemma.
248
249 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M1_r.con" as lemma.
250
251 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M1_conv_l.con" as lemma.
252
253 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_M1_conv_r.con" as lemma.
254
255 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_sym.con" as lemma.
256
257 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDisjoint_empty.con" as lemma.
258
259 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDelta_disjoint.con" as lemma.
260
261 (* UNEXPORTED
262 cic:/Coq/IntMap/Mapsubset/MapDisjointExtra/C.var
263 *)
264
265 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDomRestr_disjoint.con" as lemma.
266
267 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDelta_RestrTo_disjoint.con" as lemma.
268
269 inline procedural "cic:/Coq/IntMap/Mapsubset/MapDelta_RestrTo_disjoint_2.con" as lemma.
270
271 (* UNEXPORTED
272 cic:/Coq/IntMap/Mapsubset/MapDisjointExtra/D.var
273 *)
274
275 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Disjoint.con" as lemma.
276
277 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Disjoint_l.con" as lemma.
278
279 inline procedural "cic:/Coq/IntMap/Mapsubset/MapSubset_Disjoint_r.con" as lemma.
280
281 (* UNEXPORTED
282 End MapDisjointExtra
283 *)
284