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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">W</font> being   <a href="clvect_1.html#M1" title="CLVECT_1:mode.1">Subspace</a> of <font color="Maroon" title="c1">V</font> holds   <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Olive" title="b1">W</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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">W</font> be    <a href="clvect_1.html#M1" title="CLVECT_1:mode.1">Subspace</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">  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c2">W</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c1">V</font></span><br/>



<a NAME="E1:69"/>
( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c2">W</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"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c2">W</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> &amp; the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">V</font></span>)</span></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#D6" target="_self" title="CLVECT_1:def.6">Def6</a></i>;<br/>
<a NAME="E2:69"/><b>then </b>
( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c2">W</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> &amp;  <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c2">W</font> is    <a href="clvect_1.html#M1" title="CLVECT_1:mode.1">Subspace</a> of <font color="Maroon" title="c1">V</font> )
 
<b>by </b><i><a class="ref" href="clvect_1.html#D5" target="_self" title="CLVECT_1:def.5">Def5</a>, <a class="ref" href="clvect_1.html#T47" target="_self" title="CLVECT_1:th.47">Th47</a></i>;<br/>
<b>hence </b><a NAME="E3:69"/>
 <a href="clvect_1.html#K3" title="CLVECT_1:func.3">(0).</a> <font color="Maroon" title="c2">W</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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#T50" target="_self" title="CLVECT_1:th.50">Th50</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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