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

<b>reconsider </b><font color="Maroon">c<sub>1</sub></font> = <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span></span><a href="zfmisc_1.html#K2">:]</a></span> as   <a href="relset_1.html#NM3">Relation</a> of <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span> <b>by </b><i><a class="ref" href="relset_1.html#D1">RELSET_1:def 1</a></i>;<br/>
<a NAME="E2:14_1_1"/>
 <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R2">in</a>  <a href="neckla_2.html#K4" target="_self">fin_RelStr_sp</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="14_1_1_1"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #);<br/>
<a NAME="E1:14_1_1_1"/><i><font color="Green">E9</font></i>: 
( not the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #) is <a href="xboole_0.html#V1">empty</a> &amp; the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #) is <a href="realset1.html#V1">trivial</a> )
 
<b>by </b><i><a class="ref" href="realset1.html#D4">REALSET1:def 4</a></i>;<br/>
<a NAME="E2:14_1_1_1"/>
0 <a href="hidden.html#R2">in</a>  <a href="classes1.html#K1">Tarski-Class</a> <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="classes2.html#T62">CLASSES2:62</a></i>;<br/>
<a NAME="E3:14_1_1_1"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R2">in</a>  <a href="classes2.html#K13">FinSETS</a> 
 
<b>by </b><i><a class="ref" href="classes2.html#T63">CLASSES2:63</a>, <a class="ref" href="classes2.html#D2">CLASSES2:def 2</a></i>;<br/>
<b>hence </b><a NAME="E4:14_1_1_1"/>
 <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R2">in</a>  <a href="neckla_2.html#K4" target="_self">fin_RelStr_sp</a> 
 <b>by </b><i><a class="txt" href="neckla_2.html#E1:14_1_1_1"><i><font color="Green">E9</font></i></a>, <a class="ref" href="neckla_2.html#D5" target="_self">Def5</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:14_1_1"/>
not  <a href="neckla_2.html#K4" target="_self">fin_RelStr_sp</a>  is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


</div>
