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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="47_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:47_1_1_1"/><i><font color="Green">E30</font></i>: 
0 <a href="hidden.html#R2">in</a>  <a href="pscomp_1.html#K5" target="_self">Inv</a> <font color="Maroon">X</font>
 ;<br/><b>consider </b><font color="Maroon">r3</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E3:47_1_1_1"/><i><font color="Green">E31</font></i>: 
0 <a href="hidden.html#R1">=</a> 1 <a href="real_1.html#K6">/</a> <font color="Maroon">r3</font>
 <b>and </b><br/><a NAME="E4:47_1_1_1"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">r3</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 <b>by </b><i/>;<br/><a NAME="E5:47_1_1_1"/>
<font color="Maroon">r3</font> <a href="real_1.html#K2">"</a>  <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="txt" href="pscomp_1.html#E1:47_1_1_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="xcmplx_1.html#T217">XCMPLX_1:217</a></i>;<br/><b>hence </b><a NAME="E6:47_1_1_1"/>
contradiction
 <b>by </b><i>, <a class="ref" href="xcmplx_1.html#T203">XCMPLX_1:203</a>, <a class="txt" href="pscomp_1.html#E3:47_1_1_1"><i><font color="Green">E31</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:47_1_1"/>
 <a href="pscomp_1.html#K5" target="_self">Inv</a> <font color="Maroon">X</font> is <a href="setfam_1.html#V1">without_zero</a>
 <b>by </b><i/>;<br/>


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