1 (**************************************************************************)
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 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (* $Id: RefSeparated.v,v 1.8 2004/04/23 10:01:00 lcf Exp $ *)
23 include "ftc/COrdLemmas.ma".
25 include "ftc/Partitions.ma".
28 Section Separating__Separated
32 cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var
36 cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var
40 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var
43 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/I.con" "Separating__Separated__" as definition.
46 cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var
50 cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var
54 cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var
58 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var
62 cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var
66 cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var
70 cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var
74 cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var
78 cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var
82 cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var
85 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_n.con" as lemma.
87 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_m.con" as lemma.
90 cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var
94 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var
97 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/e.con" "Separating__Separated__" as definition.
99 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_He.con" as lemma.
101 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF'.con" "Separating__Separated__" as definition.
103 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/d.con" "Separating__Separated__" as definition.
105 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd.con" as lemma.
107 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd'.con" as lemma.
110 cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var
114 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var
117 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/M.con" "Separating__Separated__" as definition.
119 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaP.con" "Separating__Separated__" as definition.
121 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaR.con" "Separating__Separated__" as definition.
123 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/delta.con" "Separating__Separated__" as definition.
125 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaP.con" as lemma.
127 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaR.con" as lemma.
129 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_csi.con" as lemma.
131 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_d.con" as lemma.
133 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_pos.con" as lemma.
140 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var
144 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var
147 inline procedural "cic:/CoRN/ftc/RefSeparated/separation_conseq.con" as lemma.
149 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred1.con" "Separating__Separated__Defining_ai'__" as definition.
151 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred2.con" "Separating__Separated__Defining_ai'__" as definition.
153 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux_lemma.con" as lemma.
156 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var
160 cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var
163 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i.con" as definition.
165 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_leEq.con" as lemma.
167 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_less.con" as lemma.
169 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_ap.con" as lemma.
175 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun.con" as definition.
177 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_delta.con" as lemma.
179 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_delta.con" as lemma.
181 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon_i.con" as lemma.
183 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon.con" as lemma.
185 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_wd.con" as lemma.
187 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_wd.con" as lemma.
189 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_part.con" as definition.
191 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_lemma.con" as lemma.
194 cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var
198 cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var
201 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points.con" as definition.
203 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points_lemma.con" as lemma.
205 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux.con" as lemma.
208 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
213 (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__sep_points_lemma _ _)).
216 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Sum.con" as lemma.
218 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Mesh.con" as lemma.
221 End Separating__Separated