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 *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/ftc/RefSeparated".
21 (* $Id: RefSeparated.v,v 1.8 2004/04/23 10:01:00 lcf Exp $ *)
25 include "ftc/COrdLemmas.ma".
27 include "ftc/Partitions.ma".
30 Section Separating__Separated
33 alias id "a" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var".
35 alias id "b" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var".
37 alias id "Hab" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var".
39 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/I.con" "Separating__Separated__".
41 alias id "F" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var".
43 alias id "contF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var".
45 alias id "incF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var".
47 alias id "Hab'" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var".
49 alias id "m" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var".
51 alias id "n" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var".
53 alias id "P" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var".
55 alias id "R" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var".
57 alias id "HP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var".
59 alias id "HR" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var".
61 inline "cic:/CoRN/ftc/RefSeparated/RS_pos_n.con".
63 inline "cic:/CoRN/ftc/RefSeparated/RS_pos_m.con".
65 alias id "alpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var".
67 alias id "Halpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var".
69 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/e.con" "Separating__Separated__".
71 inline "cic:/CoRN/ftc/RefSeparated/RS_He.con".
73 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF'.con" "Separating__Separated__".
75 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/d.con" "Separating__Separated__".
77 inline "cic:/CoRN/ftc/RefSeparated/RS_Hd.con".
79 inline "cic:/CoRN/ftc/RefSeparated/RS_Hd'.con".
81 alias id "csi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var".
83 alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var".
85 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/M.con" "Separating__Separated__".
87 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaP.con" "Separating__Separated__".
89 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaR.con" "Separating__Separated__".
91 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/delta.con" "Separating__Separated__".
93 inline "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaP.con".
95 inline "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaR.con".
97 inline "cic:/CoRN/ftc/RefSeparated/RS_delta_csi.con".
99 inline "cic:/CoRN/ftc/RefSeparated/RS_delta_d.con".
101 inline "cic:/CoRN/ftc/RefSeparated/RS_delta_pos.con".
107 alias id "i" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var".
109 alias id "Hi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var".
111 inline "cic:/CoRN/ftc/RefSeparated/separation_conseq.con".
113 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred1.con" "Separating__Separated__Defining_ai'__".
115 inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred2.con" "Separating__Separated__Defining_ai'__".
117 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_aux_lemma.con".
119 alias id "Hi0" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var".
121 alias id "Hin" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var".
123 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i.con".
125 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_leEq.con".
127 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_less.con".
129 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_ap.con".
135 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun.con".
137 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_delta.con".
139 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_delta.con".
141 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_mon_i.con".
143 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_mon.con".
145 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_wd.con".
147 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_wd.con".
149 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_part.con".
151 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_lemma.con".
153 alias id "g" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var".
155 alias id "gP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var".
157 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_points.con".
159 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_points_lemma.con".
161 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_aux.con".
164 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
169 (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__sep_points_lemma _ _)).
172 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_Sum.con".
174 inline "cic:/CoRN/ftc/RefSeparated/sep__sep_Mesh.con".
177 End Separating__Separated