X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Freals%2FIntervals.ma;h=356ae30a17922b87ca3b1bf0d713e4fb90a1ef6c;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=01ce8de29026e91ab3aff0695b3998bb06bf856a;hpb=7a8f91f8aa2d6ba24bf6b3093866f759ee16e690;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma index 01ce8de29..356ae30a1 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma @@ -16,7 +16,7 @@ set "baseuri" "cic:/matita/CoRN-Decl/reals/Intervals". -include "CoRN_notation.ma". +include "CoRN.ma". (* $Id: Intervals.v,v 1.10 2004/04/23 10:01:04 lcf Exp $ *) @@ -25,7 +25,7 @@ include "algebra/CSetoidInc.ma". include "reals/RealLists.ma". (* UNEXPORTED -Section Intervals. +Section Intervals *) (*#* * Intervals @@ -49,11 +49,11 @@ As expected, both [a] and [b] are members of [[a,b]]. Also they are members of the interval [[Min(a,b),Max(a,b)]]. *) -inline "cic:/CoRN/reals/Intervals/a.var". +alias id "a" = "cic:/CoRN/reals/Intervals/Intervals/a.var". -inline "cic:/CoRN/reals/Intervals/b.var". +alias id "b" = "cic:/CoRN/reals/Intervals/Intervals/b.var". -inline "cic:/CoRN/reals/Intervals/Hab.var". +alias id "Hab" = "cic:/CoRN/reals/Intervals/Intervals/Hab.var". inline "cic:/CoRN/reals/Intervals/compact_inc_lft.con". @@ -89,15 +89,23 @@ returns the restriction $F|_P$# of F to P#. inline "cic:/CoRN/reals/Intervals/Frestr.con". (* UNEXPORTED -End Intervals. +End Intervals +*) + +(* NOTATION +Notation Compact := (compact _ _). *) (* UNEXPORTED Implicit Arguments Frestr [F P]. *) +(* NOTATION +Notation FRestr := (Frestr (compact_wd _ _ _)). +*) + (* UNEXPORTED -Section More_Intervals. +Section More_Intervals *) inline "cic:/CoRN/reals/Intervals/included_refl'.con". @@ -111,7 +119,7 @@ inline "cic:/CoRN/reals/Intervals/compact_map2.con". inline "cic:/CoRN/reals/Intervals/compact_map3.con". (* UNEXPORTED -End More_Intervals. +End More_Intervals *) (* UNEXPORTED @@ -119,7 +127,7 @@ Hint Resolve included_refl' compact_map1 compact_map2 compact_map3 : included. *) (* UNEXPORTED -Section Totally_Bounded. +Section Totally_Bounded *) (*#* ** Totally Bounded @@ -164,9 +172,9 @@ inline "cic:/CoRN/reals/Intervals/fun_lub_IR.con". (* begin hide *) -inline "cic:/CoRN/reals/Intervals/aux_seq_lub.con". +inline "cic:/CoRN/reals/Intervals/Totally_Bounded/aux_seq_lub.con" "Totally_Bounded__". -inline "cic:/CoRN/reals/Intervals/aux_seq_lub_prop.con". +inline "cic:/CoRN/reals/Intervals/Totally_Bounded/aux_seq_lub_prop.con" "Totally_Bounded__". (* end hide *) @@ -178,20 +186,20 @@ inline "cic:/CoRN/reals/Intervals/totally_bounded_has_lub.con". (* begin hide *) -inline "cic:/CoRN/reals/Intervals/aux_seq_glb.con". +inline "cic:/CoRN/reals/Intervals/Totally_Bounded/aux_seq_glb.con" "Totally_Bounded__". -inline "cic:/CoRN/reals/Intervals/aux_seq_glb_prop.con". +inline "cic:/CoRN/reals/Intervals/Totally_Bounded/aux_seq_glb_prop.con" "Totally_Bounded__". (* end hide *) inline "cic:/CoRN/reals/Intervals/totally_bounded_has_glb.con". (* UNEXPORTED -End Totally_Bounded. +End Totally_Bounded *) (* UNEXPORTED -Section Compact. +Section Compact *) (*#* ** Compact sets @@ -219,23 +227,23 @@ a positive real number. %\end{convention}% *) -inline "cic:/CoRN/reals/Intervals/a.var". +alias id "a" = "cic:/CoRN/reals/Intervals/Compact/a.var". -inline "cic:/CoRN/reals/Intervals/b.var". +alias id "b" = "cic:/CoRN/reals/Intervals/Compact/b.var". -inline "cic:/CoRN/reals/Intervals/Hab.var". +alias id "Hab" = "cic:/CoRN/reals/Intervals/Compact/Hab.var". (* begin hide *) -inline "cic:/CoRN/reals/Intervals/I.con". +inline "cic:/CoRN/reals/Intervals/Compact/I.con" "Compact__". (* end hide *) -inline "cic:/CoRN/reals/Intervals/Hab'.var". +alias id "Hab'" = "cic:/CoRN/reals/Intervals/Compact/Hab'.var". -inline "cic:/CoRN/reals/Intervals/e.var". +alias id "e" = "cic:/CoRN/reals/Intervals/Compact/e.var". -inline "cic:/CoRN/reals/Intervals/He.var". +alias id "He" = "cic:/CoRN/reals/Intervals/Compact/He.var". (*#* We start by finding a natural number [n] such that [(b[-]a) [/] n [<] e]. @@ -296,7 +304,7 @@ inline "cic:/CoRN/reals/Intervals/included2_compact.con". inline "cic:/CoRN/reals/Intervals/included3_compact.con". (* UNEXPORTED -End Compact. +End Compact *) (* UNEXPORTED