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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="clvect_1.html#NM2" title="CLVECT_1:NM.2">ComplexLinearSpace</a>;<br/>

<a NAME="E1:110"/>
( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">V</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">V</font> iff the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">V</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">V</font> )
 
;<br/>
<b>then reconsider </b><font color="Maroon" title="c2">A</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">V</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">V</font> ;<br/>
<b>consider </b><font color="Maroon" title="c3">v</font> being   <a href="clvect_1.html#NM1" title="CLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font>;<br/>
<a NAME="E4:110"/>
<font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">v</font> <a href="clvect_1.html#K5" title="CLVECT_1:func.5">+</a> <span class="p1">(<span class="default"><a href="clvect_1.html#K4" title="CLVECT_1:func.4">(Omega).</a> <font color="Maroon" title="c1">V</font></span>)</span>
 
<b>by </b><i><a class="ref" href="clvect_1.html#T66" target="_self" title="CLVECT_1:th.66">Th66</a></i>;<br/>
<b>hence </b><a NAME="E5:110"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">V</font> is    <a href="clvect_1.html#M2" title="CLVECT_1:mode.2">Coset</a> of  <a href="clvect_1.html#K4" title="CLVECT_1:func.4">(Omega).</a> <font color="Maroon" title="c1">V</font>
 <b>by </b><i><a class="ref" href="clvect_1.html#D9" target="_self" title="CLVECT_1:def.9">Def9</a></i>;<br/>


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