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/CSetoidInc".
19 (* $Id: CSetoidInc.v,v 1.3 2004/04/22 14:49:43 lcf Exp $ *)
21 (*#* printing included %\ensuremath{\subseteq}% #⊆# *)
33 Let [S] be a setoid, and [P], [Q], [R] be predicates on [S]. *)
35 inline cic:/CoRN/algebra/CSetoidInc/S.var.
37 inline cic:/CoRN/algebra/CSetoidInc/included.con.
43 inline cic:/CoRN/algebra/CSetoidInc/P.var.
45 inline cic:/CoRN/algebra/CSetoidInc/Q.var.
47 inline cic:/CoRN/algebra/CSetoidInc/R.var.
49 inline cic:/CoRN/algebra/CSetoidInc/included_refl.con.
51 inline cic:/CoRN/algebra/CSetoidInc/included_trans.con.
53 inline cic:/CoRN/algebra/CSetoidInc/included_conj.con.
55 inline cic:/CoRN/algebra/CSetoidInc/included_conj'.con.
57 inline cic:/CoRN/algebra/CSetoidInc/included_conj''.con.
59 inline cic:/CoRN/algebra/CSetoidInc/included_conj_lft.con.
61 inline cic:/CoRN/algebra/CSetoidInc/included_conj_rht.con.
63 inline cic:/CoRN/algebra/CSetoidInc/included_extend.con.
70 %\begin{convention}% Let [I,R:S->CProp] and [F G:(PartFunct S)], and denote
71 by [P] and [Q], respectively, the domains of [F] and [G].
75 inline cic:/CoRN/algebra/CSetoidInc/F.var.
77 inline cic:/CoRN/algebra/CSetoidInc/G.var.
81 inline cic:/CoRN/algebra/CSetoidInc/P.con.
83 inline cic:/CoRN/algebra/CSetoidInc/Q.con.
87 inline cic:/CoRN/algebra/CSetoidInc/R.var.
89 inline cic:/CoRN/algebra/CSetoidInc/included_FComp.con.
91 inline cic:/CoRN/algebra/CSetoidInc/included_FComp'.con.
98 Implicit Arguments included [S].
102 Hint Resolve included_refl included_FComp : included.
106 Hint Immediate included_trans included_FComp' : included.