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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">M</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">N</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/>





<b>assume </b><a NAME="E1:27"/>
<font color="Maroon">M</font> <a href="lmod_6.html#R1" target="_self">c=</a> <font color="Maroon">N</font>
 ;<br/>

<a NAME="E2:27"/><b>then </b><i><font color="Green">E43</font></i>: 
<font color="Maroon">M</font> is    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">N</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:27"/>
<font color="Maroon">N</font> is    <a href="vectsp_4.html#M1">Subspace</a> of  <a href="vectsp_4.html#K2">(Omega).</a> <font color="Maroon">N</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:27"/><b>then </b>
<font color="Maroon">M</font> is    <a href="vectsp_4.html#M1">Subspace</a> of  <a href="vectsp_4.html#K2">(Omega).</a> <font color="Maroon">N</font>
 
<b>by </b><i>, <a class="ref" href="vectsp_4.html#T34">VECTSP_4:34</a></i>;<br/>
<b>hence </b><a NAME="E5:27"/>
<font color="Maroon">M</font> <a href="lmod_6.html#R1" target="_self">c=</a>  <a href="vectsp_4.html#K2">(Omega).</a> <font color="Maroon">N</font>
 <b>by </b><i/>;<br/>


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