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

<b>set </b><font color="Maroon">A</font> =  <a href="kurato_1.html#K6" target="_self">KurExSet</a> ;<br/>
<b>assume </b><a NAME="E1:49"/>
<span class="p1"><a href="enumset1.html#K4">{</a><span class="default"><span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>,<span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p3">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p3">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p4">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span></span>)</span></span><a href="enumset1.html#K4">}</a></span> <a href="subset_1.html#R2">meets</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="kurato_1.html#K6" target="_self">KurExSet</a> </span><a href="tarski.html#K1">}</a></span>
 ;<br/>

<a NAME="E2:49"/><b>then </b><i><font color="Green">E26</font></i>: 
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R2">in</a> <span class="p1"><a href="enumset1.html#K4">{</a><span class="default"><span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>,<span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p3">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p4">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p3">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p3">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p4">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span></span>)</span></span><a href="enumset1.html#K4">}</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:49_1"/>
(  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a>  or  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span> or  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span> or  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a>  or  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span> or  <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span> )
 </span><b>by </b><i>, <a class="ref" href="enumset1.html#D4">ENUMSET1:def 4</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_1"><b>suppose </b></a><a NAME="E1:49_1_1"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_1"/>
contradiction
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_2"><b>suppose </b></a><a NAME="E1:49_1_2"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_2"/>
contradiction
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_3"><b>suppose </b></a><a NAME="E1:49_1_3"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="tops_1.html#K1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_3"/>
contradiction
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_4"><b>suppose </b></a><a NAME="E1:49_1_4"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> 
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_4"/>
contradiction
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_5"><b>suppose </b></a><a NAME="E1:49_1_5"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_5"/>
contradiction
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="49_1_6"><b>suppose </b></a><a NAME="E1:49_1_6"/>
 <a href="kurato_1.html#K6" target="_self">KurExSet</a>  <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <span class="p1">(<span class="default"><a href="tops_1.html#K1">Int</a> <span class="p2">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <a href="kurato_1.html#K6" target="_self">KurExSet</a> </span>)</span></span>)</span>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:49_1_6"/>
contradiction
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
