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<a NAME="E1:92_1_1"/><i><font color="Green">E80</font></i>: 
<span class="p1">(<span class="default">1 <a href="real_1.html#K3">+</a> 0</span>)</span> <a href="real_1.html#K3">+</a> 0 <a href="hidden.html#R1">=</a> 1
 
;<br/>
<a NAME="E2:92_1_1"/><i><font color="Green">E81</font></i>: 
( 1 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp; 0 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">c<sub>1</sub></font> &amp; 0 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="euclid_4.html#T3">EUCLID_4:3</a></i>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="euclid.html#K7">+</a> <span class="p2">(<span class="default">0 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="euclid.html#K7">+</a> <span class="p1">(<span class="default">0 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> = 
<font color="Maroon">c<sub>2</sub></font> <a href="euclid.html#K7">+</a> <span class="p1">(<span class="default"><a href="euclid.html#K5">0*</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="euclid_4.html#T1">EUCLID_4:1</a>, <a class="txt" href="euclidlp.html#E2:92_1_1"><i><font color="Green">E81</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="euclid_4.html#T1">EUCLID_4:1</a></i>
;<br/>
<a NAME="E4:92_1_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="euclidlp.html#K4" target="_self">plane</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="txt" href="euclidlp.html#E1:92_1_1"><i><font color="Green">E80</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:92_1_1"/>
not  <a href="euclidlp.html#K4" target="_self">plane</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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