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<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">W</font> be  <a href="rlvect_1.html#V2">strict</a>  <a href="rlsub_1.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/>



<b>assume </b><a NAME="E1:44"/><i><font color="Green">E32</font></i>: 
for <font color="Olive">v</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> holds  <font color="Olive">v</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">W</font>
 ;<br/>

<a NAME="E2:44"/>
for <font color="Olive">v</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> holds <br/> ( <font color="Olive">v</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">W</font> iff <font color="Olive">v</font> <a href="rlvect_1.html#R1">in</a>  <a href="rlsub_1.html#K2">(Omega).</a> <font color="Maroon">V</font> )
 
<b>by </b><i>, <a class="ref" href="rlvect_1.html#T3">RLVECT_1:3</a></i>;<br/>
<a NAME="E3:44"/><b>then </b>
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="rlsub_1.html#K2">(Omega).</a> <font color="Maroon">V</font>
 
<b>by </b><i><a class="ref" href="rlsub_1.html#T39">RLSUB_1:39</a></i>;<br/>
<b>hence </b><a NAME="E4:44"/>
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G2">RLSStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U2">Mult</a> of <font color="Maroon">V</font> #)
 ;<br/>


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