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<b>let </b><font color="Maroon">SF</font> be   <a href="vectsp_2.html#NM3">Skew-Field</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">SF</font>;<br/>



<b>assume </b><a NAME="E1:34"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">SF</font>
 ;<br/>

<i><font color="Green">E24</font></i>: <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">SF</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D13">VECTSP_1:def 13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span></span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="group_1.html#D4">GROUP_1:def 4</a></i>
;<br/>
<a NAME="E3:34"/>
<font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">SF</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:34"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">SF</font></span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">x</font>
 
<b>by </b><i><a class="txt" href="vectsp_2.html#E3"><i><font color="Green">Lemma19</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E5:34"/>
<span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="vectsp_2.html#K1" target="_self">"</a> </span>)</span> <a href="vectsp_2.html#K1" target="_self">"</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 <b>by </b><i><a class="ref" href="vectsp_1.html#D19">VECTSP_1:def 19</a></i>;<br/>


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