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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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">v</font> being  <a href="clvect_1.html#NM1" title="CLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font> holds  <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is    <a href="clvect_1.html#M2" title="CLVECT_1:mode.2">Coset</a> of  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c1">V</font></span><br/><b>let </b><font color="Maroon" title="c2">v</font> be   <a href="clvect_1.html#NM1" title="CLVECT_1:NM.1">VECTOR</a> of <font color="Maroon" title="c1">V</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is    <a href="clvect_1.html#M2" title="CLVECT_1:mode.2">Coset</a> of  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c1">V</font></span><br/>



<a NAME="E1:106"/>
<font color="Maroon" title="c2">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#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c1">V</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<b>by </b><i><a class="ref" href="clvect_1.html#T65" target="_self" title="CLVECT_1:th.65">Th65</a></i>;<br/>
<b>hence </b><a NAME="E2:106"/>
<span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is    <a href="clvect_1.html#M2" title="CLVECT_1:mode.2">Coset</a> of  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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