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: RefSeparating.v,v 1.7 2004/04/23 10:01:01 lcf Exp $ *)
23 include "ftc/COrdLemmas.ma".
25 include "ftc/Partitions.ma".
28 Section Separating_Partition
32 cic:/CoRN/ftc/RefSeparating/Separating_Partition/a.var
36 cic:/CoRN/ftc/RefSeparating/Separating_Partition/b.var
40 cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab.var
43 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/I.con" "Separating_Partition__" as definition.
46 cic:/CoRN/ftc/RefSeparating/Separating_Partition/F.var
50 cic:/CoRN/ftc/RefSeparating/Separating_Partition/contF.var
54 cic:/CoRN/ftc/RefSeparating/Separating_Partition/incF.var
58 cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab'.var
62 cic:/CoRN/ftc/RefSeparating/Separating_Partition/n.var
66 cic:/CoRN/ftc/RefSeparating/Separating_Partition/P.var
70 cic:/CoRN/ftc/RefSeparating/Separating_Partition/alpha.var
74 cic:/CoRN/ftc/RefSeparating/Separating_Partition/Halpha.var
78 cic:/CoRN/ftc/RefSeparating/Separating_Partition/csi.var
82 cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hcsi.var
85 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/M.con" "Separating_Partition__" as definition.
87 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_pos_n.con" as lemma.
89 inline procedural "cic:/CoRN/ftc/RefSeparating/SPap_n.con" as lemma.
91 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/delta.con" "Separating_Partition__" as definition.
93 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta_pos.con" as lemma.
95 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta_csi.con" as lemma.
98 cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab''.var
101 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_lemma.con" as lemma.
103 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h.con" as definition.
105 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_bnd.con" as lemma.
107 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_1.con" as lemma.
109 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_2.con" as lemma.
111 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_3.con" as lemma.
113 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_app_n.con" as lemma.
115 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma.con" as lemma.
117 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma2.con" as lemma.
119 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma3.con" as lemma.
121 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta2_delta4.con" as lemma.
123 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m1.con" as definition.
125 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m.con" as definition.
131 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_length.con" as definition.
133 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m_m1.con" as lemma.
135 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_pos_m.con" as lemma.
137 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun.con" as definition.
139 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd.con" as lemma.
141 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_0.con" as lemma.
143 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i.con" as lemma.
145 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_m.con" as lemma.
147 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i'.con" as lemma.
149 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd'.con" as lemma.
151 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_wd.con" as lemma.
153 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon.con" as lemma.
155 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part.con" as definition.
157 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon_pts.con" as lemma.
159 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_mon.con" as lemma.
161 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_mon_Mesh.con" as lemma.
164 cic:/CoRN/ftc/RefSeparating/Separating_Partition/g.var
168 cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP.var
172 cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP'.var
175 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts.con" as definition.
177 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts_lemma.con" as lemma.
179 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts_in_Partition.con" as lemma.
181 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_Hsep_S.con" as lemma.
183 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_Hsep.con" as lemma.
185 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_h.con" as definition.
192 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
197 (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__part_pts_in_Partition _ _)).
200 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_suRS'_m1.con" as lemma.
202 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum2.con" as lemma.
204 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum3.con" as lemma.
206 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum4.con" as lemma.
208 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_aux.con" as lemma.
210 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum.con" as lemma.
213 End Separating_Partition