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".
21 (* $Id: CSetoidInc.v,v 1.3 2004/04/22 14:49:43 lcf Exp $ *)
23 (*#* printing included %\ensuremath{\subseteq}% #⊆# *)
25 include "algebra/CSetoidFun.ma".
33 Let [S] be a setoid, and [P], [Q], [R] be predicates on [S]. *)
35 alias id "S" = "cic:/CoRN/algebra/CSetoidInc/inclusion/S.var".
37 inline "cic:/CoRN/algebra/CSetoidInc/included.con".
43 alias id "P" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/P.var".
45 alias id "Q" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/Q.var".
47 alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/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 alias id "F" = "cic:/CoRN/algebra/CSetoidInc/inclusion/F.var".
77 alias id "G" = "cic:/CoRN/algebra/CSetoidInc/inclusion/G.var".
81 inline "cic:/CoRN/algebra/CSetoidInc/inclusion/P.con" "inclusion__".
83 inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Q.con" "inclusion__".
87 alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/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.