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<b>let </b><font color="Maroon" title="c1">R</font> be  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> <a href="vectsp_2.html#NM3" title="VECTSP_2:NM.3">Skew-Field</a>;<br/><b>let </b><font color="Maroon" title="c2">s</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">R</font>;<br/>



<b>set </b><font color="Maroon" title="c3">Z</font> =  <a href="weddwitt.html#K4" title="WEDDWITT:func.4">center</a> <font color="Maroon" title="c1">R</font>;<br/>
<b>set </b><font color="Maroon" title="c4">cZ</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K4" title="WEDDWITT:func.4">center</a> <font color="Maroon" title="c1">R</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c5">q</font> =  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K4" title="WEDDWITT:func.4">center</a> <font color="Maroon" title="c1">R</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c6">vR</font> =  <a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font>;<br/>
<a NAME="E1:47"/><i><font color="Green" title="E40">A1</font></i>: 
 <a href="rlvect_1.html#G1" title="RLVECT_1:aggr.1">LoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span>,the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span>,the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">U2</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#G1" title="RLVECT_1:aggr.1">LoopStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" title="WEDDWITT:func.5">centralizer</a> <font color="Maroon" title="c2">s</font></span>)</span>,the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" title="WEDDWITT:func.5">centralizer</a> <font color="Maroon" title="c2">s</font></span>)</span>,the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">U2</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" title="WEDDWITT:func.5">centralizer</a> <font color="Maroon" title="c2">s</font></span>)</span> #)
 
<b>by </b><i><a class="ref" href="weddwitt.html#D7" target="_self" title="WEDDWITT:def.7">Def7</a></i>;<br/>
<b>set </b><font color="Maroon" title="c7">n</font> =  <a href="vectsp_9.html#K1" title="VECTSP_9:func.1">dim</a> <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">cvRS</font> =  <a href="subset_1.html#K2" title="SUBSET_1:func.2">[#]</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span> ;<br/>
<b>consider </b><font color="Maroon" title="c9">B</font> being    <a href="vectsp_7.html#M1" title="VECTSP_7:mode.1">Basis</a> of  <a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font>;<br/>
<a NAME="E4:47"/>
<font color="Maroon" title="c9">B</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 
<b>by </b><i><a class="txt" href="weddwitt.html#E1:47"><i><font color="Green" title="E40">A1</font></i></a>, <a class="ref" href="finset_1.html#T13" title="FINSET_1:th.13">FINSET_1:13</a></i>;<br/>
<a NAME="E5:47"/><b>then </b>
 <a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font> is <a href="matrlin.html#V2" title="MATRLIN:attr.2">finite-dimensional</a>
 
<b>by </b><i><a class="ref" href="vectsp_9.html#D1" title="VECTSP_9:def.1">VECTSP_9:def 1</a></i>;<br/>
<b>hence </b><a NAME="E6:47"/>
 <a href="card_1.html#K4" title="CARD_1:func.4">card</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="weddwitt.html#K5" title="WEDDWITT:func.5">centralizer</a> <font color="Maroon" title="c2">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p2">(<span class="default"><a href="weddwitt.html#K4" title="WEDDWITT:func.4">center</a> <font color="Maroon" title="c1">R</font></span>)</span></span>)</span> <a href="newton.html#K2" title="NEWTON:func.2">|^</a> <span class="p1">(<span class="default"><a href="vectsp_9.html#K1" title="VECTSP_9:func.1">dim</a> <span class="p2">(<span class="default"><a href="weddwitt.html#K7" title="WEDDWITT:func.7">VectSp_over_center</a> <font color="Maroon" title="c2">s</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="weddwitt.html#E1:47"><i><font color="Green" title="E40">A1</font></i></a>, <a class="ref" href="weddwitt.html#T16" target="_self" title="WEDDWITT:th.16">Th16</a></i>;<br/>


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