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<b>let </b><font color="Maroon">x1</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">y1</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">z1</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">x2</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">y2</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">z2</font> be   <a href="real_1.html#NM1">Real</a>;<br/>











<b>consider </b><font color="Maroon">p1</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 3</span>)</span><b> such that </b><br/><a NAME="E2:17"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y1</font>,<font color="Maroon">z1</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span>
 ;<br/>
<a NAME="E3:17"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">p1</font> <a href="euclid_5.html#K1" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x1</font> &amp; <font color="Maroon">p1</font> <a href="euclid_5.html#K2" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y1</font> &amp; <font color="Maroon">p1</font> <a href="euclid_5.html#K3" target="_self">`3</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">z1</font> )
 
<b>by </b><i>, </i>;<br/>
<b>consider </b><font color="Maroon">p2</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 3</span>)</span><b> such that </b><br/><a NAME="E5:17"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y2</font>,<font color="Maroon">z2</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span>
 ;<br/>
<a NAME="E6:17"/>
( <font color="Maroon">p2</font> <a href="euclid_5.html#K1" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x2</font> &amp; <font color="Maroon">p2</font> <a href="euclid_5.html#K2" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y2</font> &amp; <font color="Maroon">p2</font> <a href="euclid_5.html#K3" target="_self">`3</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E7:17"/>
<span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x1</font>,<font color="Maroon">y1</font>,<font color="Maroon">z1</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K5" target="_self">&lt;X&gt;</a> <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x2</font>,<font color="Maroon">y2</font>,<font color="Maroon">z2</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">z2</font></span>)</span> <a href="binop_2.html#K10">-</a> <span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">y2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">x2</font></span>)</span> <a href="binop_2.html#K10">-</a> <span class="p3">(<span class="default"><font color="Maroon">x1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">z2</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">y2</font></span>)</span> <a href="binop_2.html#K10">-</a> <span class="p3">(<span class="default"><font color="Maroon">y1</font> <a href="binop_2.html#K11">*</a> <font color="Maroon">x2</font></span>)</span></span>)</span></span><a href="euclid_5.html#K4" target="_self">]|</a></span>
 <b>by </b><i>, , </i>;<br/>


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