<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font> be   <a href="vectsp_2.html#NM7" title="VECTSP_2:NM.7">RightMod</a> of <font color="Maroon" title="c1">R</font>;<br/><b>let </b><font color="Maroon" title="c3">W3</font>, <font color="Maroon" title="c4">W2</font> be    <a href="rmod_2.html#M1" title="RMOD_2:mode.1">Submodule</a> of <font color="Maroon" title="c2">V</font>;<br/><b>let </b><font color="Maroon" title="c5">W1</font> be  <a href="vectsp_2.html#V3" title="VECTSP_2:attr.3">strict</a>  <a href="rmod_2.html#M1" title="RMOD_2:mode.1">Submodule</a> of <font color="Maroon" title="c2">V</font>;<br/>









<b>assume </b><a NAME="E1:41"/><i><font color="Green" title="E33">A1</font></i>: 
<font color="Maroon" title="c5">W1</font> is    <a href="rmod_2.html#M1" title="RMOD_2:mode.1">Submodule</a> of <font color="Maroon" title="c3">W3</font>
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c5">W1</font> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <font color="Maroon" title="c4">W2</font></span>)</span> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <font color="Maroon" title="c3">W3</font> = 
<font color="Maroon" title="c3">W3</font> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">W1</font> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <font color="Maroon" title="c4">W2</font></span>)</span>
<b>by </b><i><a class="ref" href="rmod_3.html#T18" target="_self" title="RMOD_3:th.18">Th18</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">W1</font> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <font color="Maroon" title="c3">W3</font></span>)</span> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">W3</font> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <font color="Maroon" title="c4">W2</font></span>)</span>
<b>by </b><i><a class="txt" href="rmod_3.html#E1:41"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="rmod_3.html#T33" target="_self" title="RMOD_3:th.33">Th33</a></i>
<br/>.= 
<font color="Maroon" title="c5">W1</font> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">W3</font> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <font color="Maroon" title="c4">W2</font></span>)</span>
<b>by </b><i><a class="txt" href="rmod_3.html#E1:41"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="rmod_3.html#T21" target="_self" title="RMOD_3:th.21">Th21</a></i>
<br/>.= 
<font color="Maroon" title="c5">W1</font> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">W2</font> <a href="rmod_3.html#K2" title="RMOD_3:func.2">/\</a> <font color="Maroon" title="c3">W3</font></span>)</span>
<b>by </b><i><a class="ref" href="rmod_3.html#T18" target="_self" title="RMOD_3:th.18">Th18</a></i>
;<br/>


</div>
