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<b>let </b><font color="Maroon">F</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">S</font> be   <a href="ortsp_1.html#NM1">OrtSp</a> of <font color="Maroon">F</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/>





<b>set </b><font color="Maroon">0F</font> =  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">F</font>;<br/>
<b>set </b><font color="Maroon">0V</font> =  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font>;<br/>
<div><i><font color="Green">E22</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="8_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:8_1"/>
<font color="Maroon">a</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 ;<br/><a NAME="E2:8_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">F</font></span>)</span> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">a</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:8_1"/>
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="vectsp_1.html#T59">VECTSP_1:59</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="8_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:8_2"/>
not <font color="Maroon">a</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 ;<br/><b>then consider </b><font color="Maroon">m</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">F</font><b> such that </b><br/><a NAME="E3:8_2"/><i><font color="Green">E26</font></i>: 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">a</font></span>)</span> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i/>;<br/><a NAME="E4:8_2"/>
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">F</font></span>)</span> <a href="vectsp_1.html#K6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">a</font></span>)</span></span>)</span> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E5:8_2"/>
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="vectsp_1.html#T59">VECTSP_1:59</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:8"/>
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font> <a href="symsp_1.html#R1">_|_</a> <font color="Maroon">a</font>
 <b>by </b><i/>;<br/>


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