<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: ZMODUL01:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">W1</font>, <font color="Olive" title="b5">W2</font> being   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b2">V</font>  st <font color="Olive" title="b3">x</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b4">W1</font> &amp; <font color="Olive" title="b4">W1</font> is   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b5">W2</font> holds <br/><font color="Olive" title="b3">x</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b5">W2</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_4.html#T8" onmouseover="rs('vectsp_4/T8')" onmouseout="rh()">VECTSP_4:8</a></span>;<br/></div></div>
