X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Freals%2FCauchy_CReals.ma;h=2fb5a06c35994ad4f2987c0b68d43dc2883d621e;hb=55e5bef77f163b29feeb9ad4e83376c5aa301297;hp=a1511bbf047f495b71b3b0db8026065bb078f2dd;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git

diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma
index a1511bbf0..2fb5a06c3 100644
--- a/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma
+++ b/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma
@@ -16,18 +16,16 @@
 
 set "baseuri" "cic:/matita/CoRN-Decl/reals/Cauchy_CReals".
 
+include "CoRN.ma".
+
 (* $Id: Cauchy_CReals.v,v 1.5 2004/04/23 10:01:04 lcf Exp $ *)
 
-(* INCLUDE
-Cauchy_COF
-*)
+include "algebra/Cauchy_COF.ma".
 
-(* INCLUDE
-CReals
-*)
+include "reals/CReals.ma".
 
 (* UNEXPORTED
-Section R_CReals.
+Section R_CReals
 *)
 
 (*#* * The Real Number Structure
@@ -42,93 +40,97 @@ We start by showing how to inject the rational numbers in the field of Cauchy se
 %\end{convention}%
 *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/F.var.
+alias id "F" = "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F.var".
+
+(* NOTATION
+Notation "'R_COrdField''" := (R_COrdField F).
+*)
 
-inline cic:/CoRN/reals/Cauchy_CReals/inject_Q.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/inject_Q.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_eq.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_eq.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_plus.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_plus.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_min.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_min.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_lt.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_lt.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_ap.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_ap.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_cancel_eq.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_cancel_eq.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_cancel_less.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_cancel_less.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_le.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_le.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_cancel_leEq.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_cancel_leEq.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_cancel_AbsSmall.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_cancel_AbsSmall.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_One.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_One.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_nring'.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_nring'.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_nring.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_nring.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_mult.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_mult.con".
 
 (* UNEXPORTED
 Opaque R_COrdField.
 *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_div_three.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_div_three.con".
 
 (* UNEXPORTED
 Transparent R_COrdField.
 *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/ing_n.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/ing_n.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/expand_Q_R.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/expand_Q_R.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/conv_modulus.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/conv_modulus.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/T.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_CReals/T.con" "R_CReals__".
 
 (*#* We now assume our original field is archimedean and prove that the
 resulting one is, too.
 *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/F_is_archemaedian.var.
+alias id "F_is_archemaedian" = "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F_is_archemaedian.var".
 
-inline cic:/CoRN/reals/Cauchy_CReals/R_is_archemaedian.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_is_archemaedian.con".
 
 (* begin hide *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/PT.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_CReals/PT.con" "R_CReals__".
 
 (* end hide *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/modulus_property.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/modulus_property.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/modulus_property_2.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/modulus_property_2.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/expand_Q_R_2.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/expand_Q_R_2.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/CS_seq_diagonal.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/CS_seq_diagonal.con".
 
 (*#* ** Cauchy Completeness
 We can also define a limit operator.
 *)
 
-inline cic:/CoRN/reals/Cauchy_CReals/Q_dense_in_R.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/Q_dense_in_R.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/LimR_CauchySeq.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/LimR_CauchySeq.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/R_is_complete.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_is_complete.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/R_is_CReals.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_is_CReals.con".
 
-inline cic:/CoRN/reals/Cauchy_CReals/R_as_CReals.con.
+inline "cic:/CoRN/reals/Cauchy_CReals/R_as_CReals.con".
 
 (* UNEXPORTED
-End R_CReals.
+End R_CReals
 *)