<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be   <a href="symsp_1.html#NM1">SymSp</a> of <font color="Maroon">c<sub>4</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font>, <font color="Maroon">c<sub>9</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>5</sub></font>;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:46"/><i><font color="Green">E41</font></i>: 
<span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>4</sub></font>
 <b>and </b><br/><a NAME="E2:46"/><i><font color="Green">E42</font></i>: 
( not <font color="Maroon">c<sub>6</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>7</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>5</sub></font> )
 ;<br/>

<a NAME="E3:46"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>5</sub></font> holds <br/>( <font color="Olive">b<sub>1</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>7</sub></font> or <font color="Olive">b<sub>1</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="46_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>10</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>5</sub></font>;<br/>

<a NAME="E1:46_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>10</sub></font>
 
<b>by </b><i><a class="txt" href="symsp_1.html#E2:46"><i><font color="Green">E42</font></i></a>, <a class="ref" href="symsp_1.html#T11" target="_self">Th11</a></i>;<br/>
<b>hence </b><a NAME="E2:46_1"/>
( <font color="Maroon">c<sub>10</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>7</sub></font> or <font color="Maroon">c<sub>10</sub></font> <a href="symsp_1.html#R1" target="_self">_|_</a> <font color="Maroon">c<sub>8</sub></font> )
 <b>by </b><i><a class="ref" href="symsp_1.html#T12" target="_self">Th12</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E4:46"/>
 <a href="symsp_1.html#K2" target="_self">PProJ</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="symsp_1.html#E1:46"><i><font color="Green">E41</font></i></a>, <a class="txt" href="symsp_1.html#E2:46"><i><font color="Green">E42</font></i></a>, <a class="ref" href="symsp_1.html#D7" target="_self">Def7</a></i>;<br/>


</div>
