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<b>let </b><font color="Maroon">K</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="vectsp_1.html#NM4">Scalar</a> of , <font color="Maroon">b</font> be   <a href="vectsp_1.html#NM4">Scalar</a> of ;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:16"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>and </b><br/><a NAME="E2:16"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">a</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font>
 ;<br/>

<a NAME="E3:16"/>
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 
<b>by </b><i>, <a class="ref" href="vectsp_1.html#T66">VECTSP_1:66</a></i>;<br/>
<a NAME="E4:16"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">b</font></span>)</span> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 
<b>by </b><i><a class="ref" href="vectsp_4.html#T103">VECTSP_4:103</a></i>;<br/>
<a NAME="E5:16"/><b>then </b>
<font color="Maroon">a</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">K</font>
 
<b>by </b><i>, <a class="ref" href="vectsp_1.html#T60">VECTSP_1:60</a></i>;<br/>
<b>hence </b><a NAME="E6:16"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="vectsp_1.html#T66">VECTSP_1:66</a></i>;<br/>


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