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<b>let </b><font color="Maroon">x</font> be   <a href="real_1.html#NM1">Real</a>;<br/><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> 3</span>)</span>;<br/>



<a NAME="E1:11"/><i><font color="Green">E34</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K1" target="_self">`1</a>  <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"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K1" target="_self">`1</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K2" target="_self">`2</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K3" target="_self">`3</a> </span>)</span></span>)</span></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K1" target="_self">`1</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E2:11"/><i><font color="Green">E35</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K2" target="_self">`2</a>  <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"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K1" target="_self">`1</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K2" target="_self">`2</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K3" target="_self">`3</a> </span>)</span></span>)</span></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K2" target="_self">`2</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E3:11"/>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K3" target="_self">`3</a>  <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"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K1" target="_self">`1</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K2" target="_self">`2</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K3" target="_self">`3</a> </span>)</span></span>)</span></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K3" target="_self">`3</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:11"/>
( <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K1" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K1" target="_self">`1</a> </span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K2" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K2" target="_self">`2</a> </span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K18">*</a> <font color="Maroon">p</font></span>)</span> <a href="euclid_5.html#K3" target="_self">`3</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="binop_2.html#K11">*</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid_5.html#K3" target="_self">`3</a> </span>)</span> )
 <b>by </b><i>, , </i>;<br/>


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