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<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be  <a href="vectsp_2.html#V3">strict</a> <a href="vectsp_2.html#NM7">RightMod</a> of <font color="Maroon">R</font>;<br/>



<a NAME="E1:54"/>
( <span class="p1">(<span class="default"><a href="rmod_2.html#K1">(0).</a> <font color="Maroon">V</font></span>)</span> <a href="rmod_3.html#K1" target="_self">+</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K2">(Omega).</a> <font color="Maroon">V</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">V</font> &amp;  <a href="rmod_2.html#K1">(0).</a> <font color="Maroon">V</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K1">(0).</a> <font color="Maroon">V</font></span>)</span> <a href="rmod_3.html#K2" target="_self">/\</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K2">(Omega).</a> <font color="Maroon">V</font></span>)</span> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E2:54"/>
<font color="Maroon">V</font> <a href="rmod_3.html#R1" target="_self">is_the_direct_sum_of</a>  <a href="rmod_2.html#K1">(0).</a> <font color="Maroon">V</font>, <a href="rmod_2.html#K2">(Omega).</a> <font color="Maroon">V</font>
 <b>by </b><i/>;<br/>

<b>hence </b><a NAME="E3:54"/>
<font color="Maroon">V</font> <a href="rmod_3.html#R1" target="_self">is_the_direct_sum_of</a>  <a href="rmod_2.html#K2">(Omega).</a> <font color="Maroon">V</font>, <a href="rmod_2.html#K1">(0).</a> <font color="Maroon">V</font>
 <b>by </b><i/>;<br/>


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