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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 "CoRN.ma".
18
19 (* $Id: RefSeparated.v,v 1.8 2004/04/23 10:01:00 lcf Exp $ *)
20
21 (* begin hide *)
22
23 include "ftc/COrdLemmas.ma".
24
25 include "ftc/Partitions.ma".
26
27 (* UNEXPORTED
28 Section Separating__Separated
29 *)
30
31 (* UNEXPORTED
32 cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var
33 *)
34
35 (* UNEXPORTED
36 cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var
37 *)
38
39 (* UNEXPORTED
40 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var
41 *)
42
43 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/I.con" "Separating__Separated__" as definition.
44
45 (* UNEXPORTED
46 cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var
47 *)
48
49 (* UNEXPORTED
50 cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var
51 *)
52
53 (* UNEXPORTED
54 cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var
55 *)
56
57 (* UNEXPORTED
58 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var
59 *)
60
61 (* UNEXPORTED
62 cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var
63 *)
64
65 (* UNEXPORTED
66 cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var
67 *)
68
69 (* UNEXPORTED
70 cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var
71 *)
72
73 (* UNEXPORTED
74 cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var
75 *)
76
77 (* UNEXPORTED
78 cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var
79 *)
80
81 (* UNEXPORTED
82 cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var
83 *)
84
85 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_n.con" as lemma.
86
87 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_m.con" as lemma.
88
89 (* UNEXPORTED
90 cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var
91 *)
92
93 (* UNEXPORTED
94 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var
95 *)
96
97 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/e.con" "Separating__Separated__" as definition.
98
99 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_He.con" as lemma.
100
101 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF'.con" "Separating__Separated__" as definition.
102
103 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/d.con" "Separating__Separated__" as definition.
104
105 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd.con" as lemma.
106
107 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd'.con" as lemma.
108
109 (* UNEXPORTED
110 cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var
111 *)
112
113 (* UNEXPORTED
114 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var
115 *)
116
117 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/M.con" "Separating__Separated__" as definition.
118
119 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaP.con" "Separating__Separated__" as definition.
120
121 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaR.con" "Separating__Separated__" as definition.
122
123 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/delta.con" "Separating__Separated__" as definition.
124
125 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaP.con" as lemma.
126
127 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaR.con" as lemma.
128
129 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_csi.con" as lemma.
130
131 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_d.con" as lemma.
132
133 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_pos.con" as lemma.
134
135 (* UNEXPORTED
136 Section Defining_ai'
137 *)
138
139 (* UNEXPORTED
140 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var
141 *)
142
143 (* UNEXPORTED
144 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var
145 *)
146
147 inline procedural "cic:/CoRN/ftc/RefSeparated/separation_conseq.con" as lemma.
148
149 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred1.con" "Separating__Separated__Defining_ai'__" as definition.
150
151 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred2.con" "Separating__Separated__Defining_ai'__" as definition.
152
153 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux_lemma.con" as lemma.
154
155 (* UNEXPORTED
156 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var
157 *)
158
159 (* UNEXPORTED
160 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var
161 *)
162
163 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i.con" as definition.
164
165 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_leEq.con" as lemma.
166
167 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_less.con" as lemma.
168
169 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_ap.con" as lemma.
170
171 (* UNEXPORTED
172 End Defining_ai'
173 *)
174
175 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun.con" as definition.
176
177 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_delta.con" as lemma.
178
179 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_delta.con" as lemma.
180
181 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon_i.con" as lemma.
182
183 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon.con" as lemma.
184
185 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_wd.con" as lemma.
186
187 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_wd.con" as lemma.
188
189 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_part.con" as definition.
190
191 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_lemma.con" as lemma.
192
193 (* UNEXPORTED
194 cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var
195 *)
196
197 (* UNEXPORTED
198 cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var
199 *)
200
201 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points.con" as definition.
202
203 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points_lemma.con" as lemma.
204
205 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux.con" as lemma.
206
207 (* NOTATION
208 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
209 *)
210
211 (* NOTATION
212 Notation just2 :=
213   (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__sep_points_lemma _ _)).
214 *)
215
216 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Sum.con" as lemma.
217
218 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Mesh.con" as lemma.
219
220 (* UNEXPORTED
221 End Separating__Separated
222 *)
223
224 (* end hide *)
225