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/algebra/ListType".
21 (*#**********************************************************************)
23 (* v * The Coq Proof Assistant / The Coq Development Team *)
25 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
27 (* \VV/ *************************************************************)
29 (* // * This file is distributed under the terms of the *)
31 (* * GNU Lesser General Public License Version 2.1 *)
33 (*#**********************************************************************)
35 (*i $Id: ListType.v,v 1.2 2004/03/26 16:07:02 lcf Exp $ i*)
37 (* THIS IS A OLD CONTRIB. IT IS NO LONGER MAINTAINED ***)
39 (* Moved to Type for CoRN *)
44 %\cleardoublepage\setcounter{page}{1}%
47 This file contains a variant of the development of lists in the standard
48 library of Coq but moved to the Type level.
59 inline cic:/CoRN/algebra/ListType/A.var.
61 inline cic:/CoRN/algebra/ListType/list.ind.
63 inline cic:/CoRN/algebra/ListType/app.con.
65 inline cic:/CoRN/algebra/ListType/app_nil_end.con.
68 Hint Resolve app_nil_end: list v62.
71 inline cic:/CoRN/algebra/ListType/app_ass.con.
74 Hint Resolve app_ass: list v62.
77 inline cic:/CoRN/algebra/ListType/ass_app.con.
80 Hint Resolve ass_app: list v62.
83 inline cic:/CoRN/algebra/ListType/tail.con.
85 inline cic:/CoRN/algebra/ListType/nil_cons.con.
87 (*#***************************************)
91 (*#***************************************)
93 inline cic:/CoRN/algebra/ListType/length.con.
95 (*#*****************************)
97 (* Length order of lists *)
99 (*#*****************************)
102 Section length_order.
105 inline cic:/CoRN/algebra/ListType/lel.con.
108 Hint Unfold lel: list.
111 inline cic:/CoRN/algebra/ListType/a.var.
113 inline cic:/CoRN/algebra/ListType/b.var.
115 inline cic:/CoRN/algebra/ListType/l.var.
117 inline cic:/CoRN/algebra/ListType/m.var.
119 inline cic:/CoRN/algebra/ListType/n.var.
121 inline cic:/CoRN/algebra/ListType/lel_refl.con.
123 inline cic:/CoRN/algebra/ListType/lel_trans.con.
125 inline cic:/CoRN/algebra/ListType/lel_cons_cons.con.
127 inline cic:/CoRN/algebra/ListType/lel_cons.con.
129 inline cic:/CoRN/algebra/ListType/lel_tail.con.
131 inline cic:/CoRN/algebra/ListType/lel_nil.con.
138 Hint Resolve lel_refl lel_cons_cons lel_cons lel_nil lel_nil nil_cons: list
142 inline cic:/CoRN/algebra/ListType/In.con.
144 inline cic:/CoRN/algebra/ListType/in_eq.con.
147 Hint Resolve in_eq: list v62.
150 inline cic:/CoRN/algebra/ListType/in_cons.con.
153 Hint Resolve in_cons: list v62.
156 inline cic:/CoRN/algebra/ListType/in_app_or.con.
159 Hint Immediate in_app_or: list v62.
162 inline cic:/CoRN/algebra/ListType/in_or_app.con.
165 Hint Resolve in_or_app: list v62.
168 inline cic:/CoRN/algebra/ListType/incl.con.
171 Hint Unfold incl: list v62.
174 inline cic:/CoRN/algebra/ListType/incl_refl.con.
177 Hint Resolve incl_refl: list v62.
180 inline cic:/CoRN/algebra/ListType/incl_tl.con.
183 Hint Immediate incl_tl: list v62.
186 inline cic:/CoRN/algebra/ListType/incl_tran.con.
188 inline cic:/CoRN/algebra/ListType/incl_appl.con.
191 Hint Immediate incl_appl: list v62.
194 inline cic:/CoRN/algebra/ListType/incl_appr.con.
197 Hint Immediate incl_appr: list v62.
200 inline cic:/CoRN/algebra/ListType/incl_cons.con.
203 Hint Resolve incl_cons: list v62.
206 inline cic:/CoRN/algebra/ListType/incl_app.con.
213 Implicit Arguments length [A].
217 Implicit Arguments In [A].
221 Implicit Arguments cons [A].
228 inline cic:/CoRN/algebra/ListType/A.var.
230 inline cic:/CoRN/algebra/ListType/B.var.
232 inline cic:/CoRN/algebra/ListType/f.var.
234 inline cic:/CoRN/algebra/ListType/map.con.
241 Implicit Arguments map [A B].
245 Hint Resolve incl_app: list v62.