<?xml version="1.0"?>
<div class="add">

<b>reconsider </b><font color="Maroon" title="c1">R</font> =  <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> as   <a href="relset_1.html#NM3" title="RELSET_1:NM.3">Relation</a> of  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <b>by </b><i><a class="ref" href="relset_1.html#T25" title="RELSET_1:th.25">RELSET_1:25</a></i>;<br/>
<a NAME="E2:12_1_1"/>
 <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<font color="Maroon" title="c1">R</font> #) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="neckla_2.html#K3" title="NECKLA_2:func.3">fin_RelStr</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="12_1_1_1"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon" title="c2">X</font> =  <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<font color="Maroon" title="c1">R</font> #);<br/>
<a NAME="E1:12_1_1_1"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<font color="Maroon" title="c1">R</font> #) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="classes2.html#K13" title="CLASSES2:func.13">FinSETS</a> 
 
<b>by </b><i><a class="ref" href="classes1.html#T5" title="CLASSES1:th.5">CLASSES1:5</a>, <a class="ref" href="classes2.html#D2" title="CLASSES2:def.2">CLASSES2:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:12_1_1_1"/>
 <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<font color="Maroon" title="c1">R</font> #) <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="neckla_2.html#K3" title="NECKLA_2:func.3">fin_RelStr</a> 
 <b>by </b><i><a class="ref" href="neckla_2.html#D4" target="_self" title="NECKLA_2:def.4">Def4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:12_1_1"/>
not  <a href="neckla_2.html#K3" title="NECKLA_2:func.3">fin_RelStr</a>  is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
