X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCAbGroups.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCAbGroups.ma;h=01031bca94072a4ba94f185999a514c990b536d9;hb=80110e17ef1d38d71473e9471ce15beddde663bb;hp=b137c572c77ddaf81f2476a1912fe9fda2875be0;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma index b137c572c..01031bca9 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma @@ -16,9 +16,9 @@ set "baseuri" "cic:/matita/CoRN-Decl/algebra/CAbGroups". -(* INCLUDE -CGroups -*) +include "CoRN.ma". + +include "algebra/CGroups.ma". (* UNEXPORTED Section Abelian_Groups. @@ -29,26 +29,28 @@ Section Abelian_Groups. Now we introduce commutativity and add some results. *) -inline cic:/CoRN/algebra/CAbGroups/is_CAbGroup.con. +inline "cic:/CoRN/algebra/CAbGroups/is_CAbGroup.con". + +inline "cic:/CoRN/algebra/CAbGroups/CAbGroup.ind". -inline cic:/CoRN/algebra/CAbGroups/CAbGroup.ind. +coercion "cic:/matita/CoRN-Decl/algebra/CAbGroups/cag_crr.con" 0 (* compounds *). (* UNEXPORTED Section AbGroup_Axioms. *) -inline cic:/CoRN/algebra/CAbGroups/G.var. +inline "cic:/CoRN/algebra/CAbGroups/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. %\end{convention}% *) -inline cic:/CoRN/algebra/CAbGroups/CAbGroup_is_CAbGroup.con. +inline "cic:/CoRN/algebra/CAbGroups/CAbGroup_is_CAbGroup.con". -inline cic:/CoRN/algebra/CAbGroups/cag_commutes.con. +inline "cic:/CoRN/algebra/CAbGroups/cag_commutes.con". -inline cic:/CoRN/algebra/CAbGroups/cag_commutes_unfolded.con. +inline "cic:/CoRN/algebra/CAbGroups/cag_commutes_unfolded.con". (* UNEXPORTED End AbGroup_Axioms. @@ -62,15 +64,15 @@ Section SubCAbGroups. ** Subgroups of an Abelian Group *) -inline cic:/CoRN/algebra/CAbGroups/G.var. +inline "cic:/CoRN/algebra/CAbGroups/G.var". -inline cic:/CoRN/algebra/CAbGroups/P.var. +inline "cic:/CoRN/algebra/CAbGroups/P.var". -inline cic:/CoRN/algebra/CAbGroups/Punit.var. +inline "cic:/CoRN/algebra/CAbGroups/Punit.var". -inline cic:/CoRN/algebra/CAbGroups/op_pres_P.var. +inline "cic:/CoRN/algebra/CAbGroups/op_pres_P.var". -inline cic:/CoRN/algebra/CAbGroups/inv_pres_P.var. +inline "cic:/CoRN/algebra/CAbGroups/inv_pres_P.var". (*#* %\begin{convention}% @@ -79,11 +81,11 @@ that contains [Zero] and is closed under [[+]] and [[--]]. %\end{convention}% *) -inline cic:/CoRN/algebra/CAbGroups/subcrr.con. +inline "cic:/CoRN/algebra/CAbGroups/subcrr.con". -inline cic:/CoRN/algebra/CAbGroups/isabgrp_scrr.con. +inline "cic:/CoRN/algebra/CAbGroups/isabgrp_scrr.con". -inline cic:/CoRN/algebra/CAbGroups/Build_SubCAbGroup.con. +inline "cic:/CoRN/algebra/CAbGroups/Build_SubCAbGroup.con". (* UNEXPORTED End SubCAbGroups. @@ -101,28 +103,28 @@ Section Various. Hint Resolve cag_commutes_unfolded: algebra. *) -inline cic:/CoRN/algebra/CAbGroups/G.var. +inline "cic:/CoRN/algebra/CAbGroups/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. %\end{convention}% *) -inline cic:/CoRN/algebra/CAbGroups/cag_op_inv.con. +inline "cic:/CoRN/algebra/CAbGroups/cag_op_inv.con". (* UNEXPORTED Hint Resolve cag_op_inv: algebra. *) -inline cic:/CoRN/algebra/CAbGroups/assoc_1.con. +inline "cic:/CoRN/algebra/CAbGroups/assoc_1.con". -inline cic:/CoRN/algebra/CAbGroups/minus_plus.con. +inline "cic:/CoRN/algebra/CAbGroups/minus_plus.con". -inline cic:/CoRN/algebra/CAbGroups/op_lft_resp_ap.con. +inline "cic:/CoRN/algebra/CAbGroups/op_lft_resp_ap.con". -inline cic:/CoRN/algebra/CAbGroups/cag_ap_cancel_lft.con. +inline "cic:/CoRN/algebra/CAbGroups/cag_ap_cancel_lft.con". -inline cic:/CoRN/algebra/CAbGroups/plus_cancel_ap_lft.con. +inline "cic:/CoRN/algebra/CAbGroups/plus_cancel_ap_lft.con". (* UNEXPORTED End Various. @@ -161,11 +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. +inline "cic:/CoRN/algebra/CAbGroups/S.var". -inline cic:/CoRN/algebra/CAbGroups/unit.var. +inline "cic:/CoRN/algebra/CAbGroups/unit.var". -inline cic:/CoRN/algebra/CAbGroups/plus.var. +inline "cic:/CoRN/algebra/CAbGroups/plus.var". (*#* %\begin{convention}% @@ -177,35 +179,35 @@ 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. +inline "cic:/CoRN/algebra/CAbGroups/plus_lext.var". -inline cic:/CoRN/algebra/CAbGroups/plus_lunit.var. +inline "cic:/CoRN/algebra/CAbGroups/plus_lunit.var". -inline cic:/CoRN/algebra/CAbGroups/plus_comm.var. +inline "cic:/CoRN/algebra/CAbGroups/plus_comm.var". -inline cic:/CoRN/algebra/CAbGroups/plus_assoc.var. +inline "cic:/CoRN/algebra/CAbGroups/plus_assoc.var". -inline cic:/CoRN/algebra/CAbGroups/inv.var. +inline "cic:/CoRN/algebra/CAbGroups/inv.var". -inline cic:/CoRN/algebra/CAbGroups/inv_inv.var. +inline "cic:/CoRN/algebra/CAbGroups/inv_inv.var". -inline cic:/CoRN/algebra/CAbGroups/plus_rext.con. +inline "cic:/CoRN/algebra/CAbGroups/plus_rext.con". -inline cic:/CoRN/algebra/CAbGroups/plus_runit.con. +inline "cic:/CoRN/algebra/CAbGroups/plus_runit.con". -inline cic:/CoRN/algebra/CAbGroups/plus_is_fun.con. +inline "cic:/CoRN/algebra/CAbGroups/plus_is_fun.con". -inline cic:/CoRN/algebra/CAbGroups/inv_inv'.con. +inline "cic:/CoRN/algebra/CAbGroups/inv_inv'.con". -inline cic:/CoRN/algebra/CAbGroups/plus_fun.con. +inline "cic:/CoRN/algebra/CAbGroups/plus_fun.con". -inline cic:/CoRN/algebra/CAbGroups/Build_CSemiGroup'.con. +inline "cic:/CoRN/algebra/CAbGroups/Build_CSemiGroup'.con". -inline cic:/CoRN/algebra/CAbGroups/Build_CMonoid'.con. +inline "cic:/CoRN/algebra/CAbGroups/Build_CMonoid'.con". -inline cic:/CoRN/algebra/CAbGroups/Build_CGroup'.con. +inline "cic:/CoRN/algebra/CAbGroups/Build_CGroup'.con". -inline cic:/CoRN/algebra/CAbGroups/Build_CAbGroup'.con. +inline "cic:/CoRN/algebra/CAbGroups/Build_CAbGroup'.con". (* UNEXPORTED End Nice_Char. @@ -220,29 +222,29 @@ For reflection the following is needed; hopefully it is also useful. Section Group_Extras. *) -inline cic:/CoRN/algebra/CAbGroups/G.var. +inline "cic:/CoRN/algebra/CAbGroups/G.var". -inline cic:/CoRN/algebra/CAbGroups/nmult.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_wd.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_wd.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_one.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_one.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_Zero.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_Zero.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_plus.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_plus.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_mult.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_mult.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_inv.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_inv.con". -inline cic:/CoRN/algebra/CAbGroups/nmult_plus'.con. +inline "cic:/CoRN/algebra/CAbGroups/nmult_plus'.con". (* UNEXPORTED Hint Resolve nmult_wd nmult_Zero nmult_inv nmult_plus nmult_plus': algebra. *) -inline cic:/CoRN/algebra/CAbGroups/zmult.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult.con". (* Lemma Zeq_imp_nat_eq : forall m n:nat, m = n -> m = n. @@ -260,27 +262,27 @@ auto with zarith. Qed. *) -inline cic:/CoRN/algebra/CAbGroups/zmult_char.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_char.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_wd.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_wd.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_one.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_one.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_min_one.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_min_one.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_zero.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_zero.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_Zero.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_Zero.con". (* UNEXPORTED Hint Resolve zmult_zero: algebra. *) -inline cic:/CoRN/algebra/CAbGroups/zmult_plus.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_plus.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_mult.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_mult.con". -inline cic:/CoRN/algebra/CAbGroups/zmult_plus'.con. +inline "cic:/CoRN/algebra/CAbGroups/zmult_plus'.con". (* UNEXPORTED End Group_Extras.