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
31 alias id "a" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var".
33 alias id "b" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var".
35 alias id "Hab" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var".
37 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/I.con" "Separating__Separated__" as definition.
39 alias id "F" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var".
41 alias id "contF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var".
43 alias id "incF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var".
45 alias id "Hab'" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var".
47 alias id "m" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var".
49 alias id "n" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var".
51 alias id "P" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var".
53 alias id "R" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var".
55 alias id "HP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var".
57 alias id "HR" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var".
59 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_n.con" as lemma.
61 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_pos_m.con" as lemma.
63 alias id "alpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var".
65 alias id "Halpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var".
67 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/e.con" "Separating__Separated__" as definition.
69 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_He.con" as lemma.
71 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF'.con" "Separating__Separated__" as definition.
73 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/d.con" "Separating__Separated__" as definition.
75 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd.con" as lemma.
77 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_Hd'.con" as lemma.
79 alias id "csi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var".
81 alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var".
83 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/M.con" "Separating__Separated__" as definition.
85 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaP.con" "Separating__Separated__" as definition.
87 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/deltaR.con" "Separating__Separated__" as definition.
89 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/delta.con" "Separating__Separated__" as definition.
91 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaP.con" as lemma.
93 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_deltaR.con" as lemma.
95 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_csi.con" as lemma.
97 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_d.con" as lemma.
99 inline procedural "cic:/CoRN/ftc/RefSeparated/RS_delta_pos.con" as lemma.
105 alias id "i" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var".
107 alias id "Hi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var".
109 inline procedural "cic:/CoRN/ftc/RefSeparated/separation_conseq.con" as lemma.
111 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred1.con" "Separating__Separated__Defining_ai'__" as definition.
113 inline procedural "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred2.con" "Separating__Separated__Defining_ai'__" as definition.
115 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux_lemma.con" as lemma.
117 alias id "Hi0" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var".
119 alias id "Hin" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var".
121 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i.con" as definition.
123 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_leEq.con" as lemma.
125 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_less.con" as lemma.
127 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_ap.con" as lemma.
133 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun.con" as definition.
135 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_delta.con" as lemma.
137 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_delta.con" as lemma.
139 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon_i.con" as lemma.
141 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_mon.con" as lemma.
143 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i_wd.con" as lemma.
145 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_wd.con" as lemma.
147 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_part.con" as definition.
149 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_lemma.con" as lemma.
151 alias id "g" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var".
153 alias id "gP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var".
155 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points.con" as definition.
157 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_points_lemma.con" as lemma.
159 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_aux.con" as lemma.
162 Notation just1 := (incF _ (Pts_part_lemma _ _ _ _ _ _ gP _ _)).
167 (incF _ (Pts_part_lemma _ _ _ _ _ _ sep__sep_points_lemma _ _)).
170 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Sum.con" as lemma.
172 inline procedural "cic:/CoRN/ftc/RefSeparated/sep__sep_Mesh.con" as lemma.
175 End Separating__Separated