X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCSetoidInc.ma;fp=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCSetoidInc.ma;h=380219a8110b999848a0e89701b06a91a93eca1f;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma b/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma new file mode 100644 index 000000000..380219a81 --- /dev/null +++ b/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma @@ -0,0 +1,108 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* This file was automatically generated: do not edit *********************) + +set "baseuri" "cic:/matita/CoRN-Decl/algebra/CSetoidInc". + +include "CoRN.ma". + +(* $Id: CSetoidInc.v,v 1.3 2004/04/22 14:49:43 lcf Exp $ *) + +(*#* printing included %\ensuremath{\subseteq}% #⊆# *) + +include "algebra/CSetoidFun.ma". + +(* UNEXPORTED +Section inclusion +*) + +(*#* ** Inclusion + +Let [S] be a setoid, and [P], [Q], [R] be predicates on [S]. *) + +alias id "S" = "cic:/CoRN/algebra/CSetoidInc/inclusion/S.var". + +inline "cic:/CoRN/algebra/CSetoidInc/included.con". + +(* UNEXPORTED +Section Basics +*) + +alias id "P" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/P.var". + +alias id "Q" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/Q.var". + +alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/R.var". + +inline "cic:/CoRN/algebra/CSetoidInc/included_refl.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_trans.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_conj.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_conj'.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_conj''.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_conj_lft.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_conj_rht.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_extend.con". + +(* UNEXPORTED +End Basics +*) + +(*#* +%\begin{convention}% Let [I,R:S->CProp] and [F G:(PartFunct S)], and denote +by [P] and [Q], respectively, the domains of [F] and [G]. +%\end{convention}% +*) + +alias id "F" = "cic:/CoRN/algebra/CSetoidInc/inclusion/F.var". + +alias id "G" = "cic:/CoRN/algebra/CSetoidInc/inclusion/G.var". + +(* begin hide *) + +inline "cic:/CoRN/algebra/CSetoidInc/inclusion/P.con" "inclusion__". + +inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Q.con" "inclusion__". + +(* end hide *) + +alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/R.var". + +inline "cic:/CoRN/algebra/CSetoidInc/included_FComp.con". + +inline "cic:/CoRN/algebra/CSetoidInc/included_FComp'.con". + +(* UNEXPORTED +End inclusion +*) + +(* UNEXPORTED +Implicit Arguments included [S]. +*) + +(* UNEXPORTED +Hint Resolve included_refl included_FComp : included. +*) + +(* UNEXPORTED +Hint Immediate included_trans included_FComp' : included. +*) +