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<b>assume </b><a NAME="E1:11"/>
 <a href="xxreal_0.html#K2" target="_self">-infty</a>  <a href="hidden.html#R2">in</a> <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>,<a href="arytm_2.html#K2">REAL+</a> </span><a href="zfmisc_1.html#K2">:]</a></span>
 ;<br/>

<a NAME="E2:11"/><b>then </b>
 <a href="numbers.html#K1">REAL</a>  <a href="hidden.html#R2">in</a>  <a href="arytm_2.html#K2">REAL+</a> 
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>
<b>hence </b><a NAME="E3:11"/>
contradiction
 <b>by </b><i><a class="ref" href="ordinal1.html#T7">ORDINAL1:7</a>, <a class="ref" href="arytm_0.html#T1">ARYTM_0:1</a></i>;<br/>


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