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<b>let </b><font color="Maroon">p</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>

<b>assume </b><a NAME="E1:33"/>
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="euclid.html#K16">0.REAL</a> 2
 ;<br/>

<a NAME="E2:33"/><b>then </b><i><font color="Green">E41</font></i>: 
 <a href="euclid_3.html#K2" target="_self">euc2cpx</a> <font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i>, </i>;<br/>
<a NAME="E3:33"/>
 <a href="euclid_3.html#K3" target="_self">Arg</a> <span class="p1">(<span class="default"><a href="euclid.html#K19">-</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="comptrig.html#K1">Arg</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <span class="p2">(<span class="default"><a href="euclid_3.html#K2" target="_self">euc2cpx</a> <font color="Maroon">p</font></span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:33"/>
(  <a href="euclid_3.html#K3" target="_self">Arg</a> <font color="Maroon">p</font> <a href="xxreal_0.html#R1">&lt;</a>  <a href="sin_cos.html#K35">PI</a>  iff  <a href="euclid_3.html#K3" target="_self">Arg</a> <span class="p1">(<span class="default"><a href="euclid.html#K19">-</a> <font color="Maroon">p</font></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a>  <a href="sin_cos.html#K35">PI</a>  )
 <b>by </b><i>, <a class="ref" href="complex2.html#T25">COMPLEX2:25</a></i>;<br/>


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