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<b>let </b><font color="Maroon">K</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">W1</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">W2</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/>









<a NAME="E1:45"/><i><font color="Green">E43</font></i>: 
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">W</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">V</font>
 
<b>by </b><i><a class="ref" href="vectsp_4.html#T49">VECTSP_4:49</a></i>;<br/>
<a NAME="E2:45"/><i><font color="Green">E47</font></i>: 
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">V</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">W</font>
 
<b>by </b><i><a class="ref" href="vectsp_4.html#T50">VECTSP_4:50</a></i>;<br/>
<a NAME="E3:45"/><i><font color="Green">E52</font></i>: 
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">W1</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">W2</font>
 
<b>by </b><i><a class="ref" href="vectsp_4.html#T51">VECTSP_4:51</a></i>;<br/>
<b>thus </b><a NAME="E4:45"/>
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">W</font> <a href="lmod_6.html#R1" target="_self">c=</a> <font color="Maroon">V</font>
 <b>by </b><i>, </i>;<br/>

<b>thus </b><a NAME="E5:45"/>
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">V</font> <a href="lmod_6.html#R1" target="_self">c=</a> <font color="Maroon">W</font>
 <b>by </b><i>, </i>;<br/>

<b>thus </b><a NAME="E6:45"/>
 <a href="vectsp_4.html#K1">(0).</a> <font color="Maroon">W1</font> <a href="lmod_6.html#R1" target="_self">c=</a> <font color="Maroon">W2</font>
 <b>by </b><i>, </i>;<br/>


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