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: RefSepRef.v,v 1.6 2004/04/23 10:01:00 lcf Exp $ *)
23 include "ftc/COrdLemmas.ma".
25 include "ftc/Partitions.ma".
28 Section Refining_Separated
31 alias id "a" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/a.var".
33 alias id "b" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/b.var".
35 alias id "Hab" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/Hab.var".
37 inline procedural "cic:/CoRN/ftc/RefSepRef/Refining_Separated/I.con" "Refining_Separated__" as definition.
39 alias id "F" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/F.var".
41 alias id "contF" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/contF.var".
43 alias id "incF" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/incF.var".
45 alias id "m" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/m.var".
47 alias id "n" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/n.var".
49 alias id "P" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/P.var".
51 alias id "R" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/R.var".
53 alias id "HPR" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/HPR.var".
55 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_HP.con" as lemma.
57 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_HP'.con" as lemma.
59 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_HR.con" as lemma.
61 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_HR'.con" as lemma.
63 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_mn0.con" as lemma.
65 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_nm0.con" as lemma.
67 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_H'.con" as lemma.
69 inline procedural "cic:/CoRN/ftc/RefSepRef/Refining_Separated/f'.con" "Refining_Separated__" as definition.
71 inline procedural "cic:/CoRN/ftc/RefSepRef/Refining_Separated/g'.con" "Refining_Separated__" as definition.
73 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_f'_nlnf.con" as lemma.
75 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_g'_nlnf.con" as lemma.
77 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_f'_mon.con" as lemma.
79 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_g'_mon.con" as lemma.
81 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_f'_ap_g'.con" as lemma.
83 inline procedural "cic:/CoRN/ftc/RefSepRef/Refining_Separated/h.con" "Refining_Separated__" as definition.
85 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_nlnf.con" as lemma.
87 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_mon.con" as lemma.
89 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_mon'.con" as lemma.
91 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_f'.con" as lemma.
93 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_g'.con" as lemma.
95 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_PropAll.con" as lemma.
97 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_PropEx.con" as lemma.
99 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_fun.con" as definition.
101 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_lemma1.con" as lemma.
103 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_lemma3.con" as lemma.
105 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_lemma4.con" as lemma.
107 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_lemma2.con" as lemma.
109 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement.con" as definition.
111 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP.con" as definition.
113 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR.con" as definition.
115 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP_lemma0.con" as lemma.
117 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_h_inj.con" as lemma.
119 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP_lemmai.con" as lemma.
121 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP_lemman.con" as lemma.
123 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP_lemma1.con" as lemma.
125 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxP_lemma2.con" as lemma.
127 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_lft.con" as lemma.
129 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR_lemma0.con" as lemma.
131 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR_lemmai.con" as lemma.
133 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR_lemmam.con" as lemma.
135 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR_lemma1.con" as lemma.
137 inline procedural "cic:/CoRN/ftc/RefSepRef/RSR_auxR_lemma2.con" as lemma.
139 inline procedural "cic:/CoRN/ftc/RefSepRef/Separated_Refinement_rht.con" as lemma.
142 End Refining_Separated