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<b>let </b><font color="Maroon">R</font> be  <a href="group_1.html#V6">finite</a> <a href="vectsp_2.html#NM3">Skew-Field</a>;<br/>

<b>set </b><font color="Maroon">Z</font> =  <a href="weddwitt.html#K4" target="_self">center</a> <font color="Maroon">R</font>;<br/>
<b>set </b><font color="Maroon">cZ</font> = the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K4" target="_self">center</a> <font color="Maroon">R</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">q</font> =  <a href="card_1.html#K4">card</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K4" target="_self">center</a> <font color="Maroon">R</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">vR</font> =  <a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font>;<br/>
<b>set </b><font color="Maroon">n</font> =  <a href="vectsp_9.html#K1">dim</a> <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span>;<br/>
<a NAME="E1:45"/><i><font color="Green">E35</font></i>: 
 <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span>,the <a href="rlvect_1.html#U1">add</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span>,the <a href="struct_0.html#U2">Zero</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span> #) <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">R</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">R</font> #)
 
<b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">cvRS</font> =  <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span> as   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span> ;<br/>
<b>consider </b><font color="Maroon">B</font> being    <a href="vectsp_7.html#M1">Basis</a> of  <a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font>;<br/>
<a NAME="E4:45"/>
<font color="Maroon">B</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="weddwitt.html#T2" target="_self">Th2</a>, <a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>
<a NAME="E5:45"/><b>then </b>
 <a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font> is <a href="matrlin.html#V2">finite-dimensional</a>
 
<b>by </b><i><a class="ref" href="vectsp_9.html#D1">VECTSP_9:def 1</a></i>;<br/>
<b>hence </b><a NAME="E6:45"/>
 <a href="card_1.html#K4">card</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="weddwitt.html#K4" target="_self">center</a> <font color="Maroon">R</font></span>)</span></span>)</span> <a href="newton.html#K2">|^</a> <span class="p1">(<span class="default"><a href="vectsp_9.html#K1">dim</a> <span class="p2">(<span class="default"><a href="weddwitt.html#K6" target="_self">VectSp_over_center</a> <font color="Maroon">R</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="weddwitt.html#T2" target="_self">Th2</a>, </i>;<br/>


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