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<div><i><font color="Green">E28</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="18_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:18_1"/>
1 <a href="hidden.html#R2">in</a> <a href="numbers.html#K4">INT</a>  <a href="finseq_2.html#K3">*</a> 
 ;<br/><a NAME="E2:18_1"/><b>then </b><i><font color="Green">E30</font></i>: 
1 is <a href="relat_1.html#V1">Relation-like</a>
 <b>by </b><i><a class="ref" href="finseq_1.html#D11">FINSEQ_1:def 11</a></i>;<br/><a NAME="E3:18_1"/>
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> 1
 <b>by </b><i><a class="ref" href="card_5.html#T1">CARD_5:1</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><b>then consider </b><font color="Maroon">x</font> being    <a href="hidden.html#M1">set</a> , <font color="Maroon">y</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E5:18_1"/><i><font color="Green">E31</font></i>: 
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i>, <a class="ref" href="relat_1.html#D1">RELAT_1:def 1</a></i>;<br/><b>thus </b><a NAME="E6:18_1"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<a NAME="E2:18"/>
1 is    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:18"/>
 <a href="numbers.html#K4">INT</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <a href="numbers.html#K4">INT</a>  <a href="finseq_2.html#K3">*</a> 
 <b>by </b><i/>;<br/>


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