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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> 3</span>)</span>;<br/>

<a NAME="E1:1"/>
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 3</span>)</span> <a href="hidden.html#R1">=</a>  <a href="euclid.html#K1">REAL</a> 3 &amp;  <a href="euclid.html#K1">REAL</a> 3 <a href="hidden.html#R1">=</a> 3 <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K1">REAL</a>  )
 
<b>by </b><i><a class="ref" href="euclid.html#T25">EUCLID:25</a>, <a class="ref" href="euclid.html#D1">EUCLID:def 1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">p'</font> = <font color="Maroon">p</font> as    <a href="subset_1.html#M1">Element</a> of 3 <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K1">REAL</a>  ;<br/>
<a NAME="E3:1"/>
 ex <font color="Olive">x</font>, <font color="Olive">y</font>, <font color="Olive">z</font> being  <a href="real_1.html#NM1">Real</a> st <font color="Maroon">p'</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font></span><a href="finseq_4.html#K3">*&gt;</a></span>
 
<b>by </b><i><a class="ref" href="finseq_2.html#T123">FINSEQ_2:123</a></i>;<br/>
<b>hence </b><a NAME="E4:1"/>
 ex <font color="Olive">x</font>, <font color="Olive">y</font>, <font color="Olive">z</font> being  <a href="real_1.html#NM1">Real</a> st <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font></span><a href="finseq_4.html#K3">*&gt;</a></span>
 ;<br/>


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