X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCAbGroups.ma;h=5548ff0a618ad3960ce9e9ffc08dd1f4631693fa;hb=0a9ed4329c069d2e06902934b6d1d58d3690959c;hp=c603a3517b78300f8198f169382c12fe3ea56fdd;hpb=52206fa1c090fcdc8386ec8d7e88beca089c7e39;p=helm.git diff --git a/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma b/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma index c603a3517..5548ff0a6 100644 --- a/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma +++ b/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma @@ -21,7 +21,7 @@ include "CoRN.ma". include "algebra/CGroups.ma". (* UNEXPORTED -Section Abelian_Groups. +Section Abelian_Groups *) (*#* @@ -36,10 +36,10 @@ inline "cic:/CoRN/algebra/CAbGroups/CAbGroup.ind". coercion cic:/matita/CoRN-Decl/algebra/CAbGroups/cag_crr.con 0 (* compounds *). (* UNEXPORTED -Section AbGroup_Axioms. +Section AbGroup_Axioms *) -inline "cic:/CoRN/algebra/CAbGroups/G.var". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/AbGroup_Axioms/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. @@ -53,26 +53,26 @@ inline "cic:/CoRN/algebra/CAbGroups/cag_commutes.con". inline "cic:/CoRN/algebra/CAbGroups/cag_commutes_unfolded.con". (* UNEXPORTED -End AbGroup_Axioms. +End AbGroup_Axioms *) (* UNEXPORTED -Section SubCAbGroups. +Section SubCAbGroups *) (*#* ** Subgroups of an Abelian Group *) -inline "cic:/CoRN/algebra/CAbGroups/G.var". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/G.var". -inline "cic:/CoRN/algebra/CAbGroups/P.var". +alias id "P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/P.var". -inline "cic:/CoRN/algebra/CAbGroups/Punit.var". +alias id "Punit" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/Punit.var". -inline "cic:/CoRN/algebra/CAbGroups/op_pres_P.var". +alias id "op_pres_P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/op_pres_P.var". -inline "cic:/CoRN/algebra/CAbGroups/inv_pres_P.var". +alias id "inv_pres_P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/inv_pres_P.var". (*#* %\begin{convention}% @@ -81,18 +81,18 @@ that contains [Zero] and is closed under [[+]] and [[--]]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CAbGroups/subcrr.con". +inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/subcrr.con" "Abelian_Groups__SubCAbGroups__". inline "cic:/CoRN/algebra/CAbGroups/isabgrp_scrr.con". inline "cic:/CoRN/algebra/CAbGroups/Build_SubCAbGroup.con". (* UNEXPORTED -End SubCAbGroups. +End SubCAbGroups *) (* UNEXPORTED -Section Various. +Section Various *) (*#* @@ -103,7 +103,7 @@ Section Various. Hint Resolve cag_commutes_unfolded: algebra. *) -inline "cic:/CoRN/algebra/CAbGroups/G.var". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/Various/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. @@ -127,11 +127,11 @@ inline "cic:/CoRN/algebra/CAbGroups/cag_ap_cancel_lft.con". inline "cic:/CoRN/algebra/CAbGroups/plus_cancel_ap_lft.con". (* UNEXPORTED -End Various. +End Various *) (* UNEXPORTED -End Abelian_Groups. +End Abelian_Groups *) (* UNEXPORTED @@ -143,7 +143,7 @@ Hint Resolve cag_op_inv assoc_1 zero_minus minus_plus op_lft_resp_ap: algebra. *) (* UNEXPORTED -Section Nice_Char. +Section Nice_Char *) (*#* @@ -163,11 +163,11 @@ as a left unit, and a unary setoid function [inv] which inverts elements respective to [plus]. *) -inline "cic:/CoRN/algebra/CAbGroups/S.var". +alias id "S" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/S.var". -inline "cic:/CoRN/algebra/CAbGroups/unit.var". +alias id "unit" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/unit.var". -inline "cic:/CoRN/algebra/CAbGroups/plus.var". +alias id "plus" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus.var". (*#* %\begin{convention}% @@ -179,17 +179,17 @@ for [plus] and [(inv x)] is a right-inverse of [x] w.r.t.%\% [plus]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CAbGroups/plus_lext.var". +alias id "plus_lext" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lext.var". -inline "cic:/CoRN/algebra/CAbGroups/plus_lunit.var". +alias id "plus_lunit" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lunit.var". -inline "cic:/CoRN/algebra/CAbGroups/plus_comm.var". +alias id "plus_comm" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_comm.var". -inline "cic:/CoRN/algebra/CAbGroups/plus_assoc.var". +alias id "plus_assoc" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_assoc.var". -inline "cic:/CoRN/algebra/CAbGroups/inv.var". +alias id "inv" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv.var". -inline "cic:/CoRN/algebra/CAbGroups/inv_inv.var". +alias id "inv_inv" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv_inv.var". inline "cic:/CoRN/algebra/CAbGroups/plus_rext.con". @@ -210,7 +210,7 @@ inline "cic:/CoRN/algebra/CAbGroups/Build_CGroup'.con". inline "cic:/CoRN/algebra/CAbGroups/Build_CAbGroup'.con". (* UNEXPORTED -End Nice_Char. +End Nice_Char *) (*#* ** Iteration @@ -219,10 +219,10 @@ For reflection the following is needed; hopefully it is also useful. *) (* UNEXPORTED -Section Group_Extras. +Section Group_Extras *) -inline "cic:/CoRN/algebra/CAbGroups/G.var". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Group_Extras/G.var". inline "cic:/CoRN/algebra/CAbGroups/nmult.con". @@ -285,7 +285,7 @@ inline "cic:/CoRN/algebra/CAbGroups/zmult_mult.con". inline "cic:/CoRN/algebra/CAbGroups/zmult_plus'.con". (* UNEXPORTED -End Group_Extras. +End Group_Extras *) (* UNEXPORTED