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
31 alias id "a" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/a.var".
33 alias id "b" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/b.var".
35 alias id "Hab" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab.var".
37 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/I.con" "Separating_Partition__" as definition.
39 alias id "F" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/F.var".
41 alias id "contF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/contF.var".
43 alias id "incF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/incF.var".
45 alias id "Hab'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab'.var".
47 alias id "n" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/n.var".
49 alias id "P" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/P.var".
51 alias id "alpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/alpha.var".
53 alias id "Halpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Halpha.var".
55 alias id "csi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/csi.var".
57 alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hcsi.var".
59 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/M.con" "Separating_Partition__" as definition.
61 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_pos_n.con" as lemma.
63 inline procedural "cic:/CoRN/ftc/RefSeparating/SPap_n.con" as lemma.
65 inline procedural "cic:/CoRN/ftc/RefSeparating/Separating_Partition/delta.con" "Separating_Partition__" as definition.
67 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta_pos.con" as lemma.
69 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta_csi.con" as lemma.
71 alias id "Hab''" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab''.var".
73 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_lemma.con" as lemma.
75 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h.con" as definition.
77 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_bnd.con" as lemma.
79 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_1.con" as lemma.
81 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_2.con" as lemma.
83 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_mon_3.con" as lemma.
85 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_app_n.con" as lemma.
87 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma.con" as lemma.
89 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma2.con" as lemma.
91 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_h_lemma3.con" as lemma.
93 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_delta2_delta4.con" as lemma.
95 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m1.con" as definition.
97 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m.con" as definition.
103 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_length.con" as definition.
105 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_m_m1.con" as lemma.
107 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_pos_m.con" as lemma.
109 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun.con" as definition.
111 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd.con" as lemma.
113 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_0.con" as lemma.
115 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i.con" as lemma.
117 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_m.con" as lemma.
119 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_i'.con" as lemma.
121 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_bnd'.con" as lemma.
123 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_wd.con" as lemma.
125 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon.con" as lemma.
127 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part.con" as definition.
129 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_fun_mon_pts.con" as lemma.
131 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_mon.con" as lemma.
133 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_mon_Mesh.con" as lemma.
135 alias id "g" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/g.var".
137 alias id "gP" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP.var".
139 alias id "gP'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP'.var".
141 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts.con" as definition.
143 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts_lemma.con" as lemma.
145 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_pts_in_Partition.con" as lemma.
147 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_Hsep_S.con" as lemma.
149 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_Hsep.con" as lemma.
151 inline procedural "cic:/CoRN/ftc/RefSeparating/RS'_h.con" as definition.
158 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
163 (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__part_pts_in_Partition _ _)).
166 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_suRS'_m1.con" as lemma.
168 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum2.con" as lemma.
170 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum3.con" as lemma.
172 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum4.con" as lemma.
174 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_aux.con" as lemma.
176 inline procedural "cic:/CoRN/ftc/RefSeparating/sep__part_Sum.con" as lemma.
179 End Separating_Partition