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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="group_1.html#V6">finite</a> <a href="vectsp_2.html#NM3">Skew-Field</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> =  <a href="weddwitt.html#K4" target="_self">center</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></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">c<sub>1</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></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">c<sub>1</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font>;<br/>
<a NAME="E1:48"/><i><font color="Green">E42</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#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,the <a href="rlvect_1.html#U1">add</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,the <a href="struct_0.html#U2">Zero</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></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 <span class="p1">(<span class="default"><a href="weddwitt.html#K5" target="_self">centralizer</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,the <a href="rlvect_1.html#U1">add</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" target="_self">centralizer</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,the <a href="struct_0.html#U2">Zero</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" target="_self">centralizer</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> #)
 
<b>by </b><i><a class="ref" href="weddwitt.html#D7" target="_self">Def7</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> =  <a href="vectsp_9.html#K1">dim</a> <span class="p1">(<span class="default"><a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>8</sub></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#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> as   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> ;<br/>
<b>consider </b><font color="Maroon">c<sub>9</sub></font> being    <a href="vectsp_7.html#M1">Basis</a> of  <a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font>;<br/>
<a NAME="E4:48"/>
<font color="Maroon">c<sub>9</sub></font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="txt" href="weddwitt.html#E1:48"><i><font color="Green">E42</font></i></a>, <a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>
<a NAME="E5:48"/><b>then </b>
 <a href="weddwitt.html#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></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="E6:48"/>
 <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#K5" target="_self">centralizer</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <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">c<sub>1</sub></font></span>)</span></span>)</span> <a href="wsierp_1.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#K7" target="_self">VectSp_over_center</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="weddwitt.html#E1:48"><i><font color="Green">E42</font></i></a>, <a class="ref" href="weddwitt.html#T16" target="_self">Th16</a></i>;<br/>


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