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<b>let </b><font color="Maroon" title="c1">V</font> be  <a href="bhsp_1.html#V1" title="BHSP_1:attr.1">strict</a> <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">V</font>;<br/>



<b>assume </b><a NAME="E1:14"/>
(  <a href="rusub_3.html#K1" title="RUSUB_3:func.1">Lin</a> <font color="Maroon" title="c2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">V</font> &amp; <font color="Maroon" title="c2">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">B</font> )
 ;<br/>

<a NAME="E2:14"/><b>then </b>
<font color="Maroon" title="c1">V</font> is    <a href="rusub_1.html#M1" title="RUSUB_1:mode.1">Subspace</a> of  <a href="rusub_3.html#K1" title="RUSUB_3:func.1">Lin</a> <font color="Maroon" title="c3">B</font>
 
<b>by </b><i><a class="ref" href="rusub_3.html#T7" target="_self" title="RUSUB_3:th.7">Th7</a></i>;<br/>
<b>hence </b><a NAME="E3:14"/>
 <a href="rusub_3.html#K1" title="RUSUB_3:func.1">Lin</a> <font color="Maroon" title="c3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">V</font>
 <b>by </b><i><a class="ref" href="rusub_1.html#T20" title="RUSUB_1:th.20">RUSUB_1:20</a></i>;<br/>


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