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<b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">y</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>



<b>assume </b><a NAME="E1:29"/><i><font color="Green">E13</font></i>: 
<span class="p1"><a href="arytm_0.html#K5" target="_self">[*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="arytm_0.html#K5" target="_self">*]</a></span> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K1">REAL</a> 
 ;<br/>

<b>assume </b><a NAME="E2:29"/>
<font color="Maroon">y</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 ;<br/>

<a NAME="E3:29"/><b>then </b>
<span class="p1"><a href="arytm_0.html#K5" target="_self">[*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="arytm_0.html#K5" target="_self">*]</a></span> <a href="hidden.html#R1">=</a> 0,1 <a href="funct_4.html#K5">--&gt;</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:29"/>
contradiction
 <b>by </b><i><a class="ref" href="arytm_0.html#T7" target="_self">Th7</a>, </i>;<br/>


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