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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 set "baseuri" "cic:/matita/CoRN-Decl/ftc/RefSeparating".
18
19 include "CoRN.ma".
20
21 (* $Id: RefSeparating.v,v 1.7 2004/04/23 10:01:01 lcf Exp $ *)
22
23 (* begin hide *)
24
25 include "ftc/COrdLemmas.ma".
26
27 include "ftc/Partitions.ma".
28
29 (* UNEXPORTED
30 Section Separating_Partition
31 *)
32
33 alias id "a" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/a.var".
34
35 alias id "b" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/b.var".
36
37 alias id "Hab" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab.var".
38
39 inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/I.con" "Separating_Partition__".
40
41 alias id "F" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/F.var".
42
43 alias id "contF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/contF.var".
44
45 alias id "incF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/incF.var".
46
47 alias id "Hab'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab'.var".
48
49 alias id "n" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/n.var".
50
51 alias id "P" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/P.var".
52
53 alias id "alpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/alpha.var".
54
55 alias id "Halpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Halpha.var".
56
57 alias id "csi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/csi.var".
58
59 alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hcsi.var".
60
61 inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/M.con" "Separating_Partition__".
62
63 inline "cic:/CoRN/ftc/RefSeparating/RS'_pos_n.con".
64
65 inline "cic:/CoRN/ftc/RefSeparating/SPap_n.con".
66
67 inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/delta.con" "Separating_Partition__".
68
69 inline "cic:/CoRN/ftc/RefSeparating/RS'_delta_pos.con".
70
71 inline "cic:/CoRN/ftc/RefSeparating/RS'_delta_csi.con".
72
73 alias id "Hab''" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab''.var".
74
75 inline "cic:/CoRN/ftc/RefSeparating/sep__part_lemma.con".
76
77 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h.con".
78
79 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_bnd.con".
80
81 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_1.con".
82
83 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_2.con".
84
85 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_3.con".
86
87 inline "cic:/CoRN/ftc/RefSeparating/sep__part_app_n.con".
88
89 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma.con".
90
91 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma2.con".
92
93 inline "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma3.con".
94
95 inline "cic:/CoRN/ftc/RefSeparating/RS'_delta2_delta4.con".
96
97 inline "cic:/CoRN/ftc/RefSeparating/RS'_m1.con".
98
99 inline "cic:/CoRN/ftc/RefSeparating/RS'_m.con".
100
101 (* NOTATION
102 Notation m := RS'_m.
103 *)
104
105 inline "cic:/CoRN/ftc/RefSeparating/sep__part_length.con".
106
107 inline "cic:/CoRN/ftc/RefSeparating/RS'_m_m1.con".
108
109 inline "cic:/CoRN/ftc/RefSeparating/RS'_pos_m.con".
110
111 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun.con".
112
113 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd.con".
114
115 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_0.con".
116
117 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i.con".
118
119 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_m.con".
120
121 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i'.con".
122
123 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd'.con".
124
125 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_wd.con".
126
127 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon.con".
128
129 inline "cic:/CoRN/ftc/RefSeparating/sep__part.con".
130
131 inline "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon_pts.con".
132
133 inline "cic:/CoRN/ftc/RefSeparating/sep__part_mon.con".
134
135 inline "cic:/CoRN/ftc/RefSeparating/sep__part_mon_Mesh.con".
136
137 alias id "g" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/g.var".
138
139 alias id "gP" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP.var".
140
141 alias id "gP'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP'.var".
142
143 inline "cic:/CoRN/ftc/RefSeparating/sep__part_pts.con".
144
145 inline "cic:/CoRN/ftc/RefSeparating/sep__part_pts_lemma.con".
146
147 inline "cic:/CoRN/ftc/RefSeparating/sep__part_pts_in_Partition.con".
148
149 inline "cic:/CoRN/ftc/RefSeparating/RS'_Hsep_S.con".
150
151 inline "cic:/CoRN/ftc/RefSeparating/RS'_Hsep.con".
152
153 inline "cic:/CoRN/ftc/RefSeparating/RS'_h.con".
154
155 (* NOTATION
156 Notation h := RS'_h.
157 *)
158
159 (* NOTATION
160 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
161 *)
162
163 (* NOTATION
164 Notation just2 :=
165   (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__part_pts_in_Partition _ _)).
166 *)
167
168 inline "cic:/CoRN/ftc/RefSeparating/sep__part_suRS'_m1.con".
169
170 inline "cic:/CoRN/ftc/RefSeparating/sep__part_Sum2.con".
171
172 inline "cic:/CoRN/ftc/RefSeparating/sep__part_Sum3.con".
173
174 inline "cic:/CoRN/ftc/RefSeparating/sep__part_Sum4.con".
175
176 inline "cic:/CoRN/ftc/RefSeparating/sep__part_aux.con".
177
178 inline "cic:/CoRN/ftc/RefSeparating/sep__part_Sum.con".
179
180 (* UNEXPORTED
181 End Separating_Partition
182 *)
183
184 (* end hide *)
185