<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T21"><span class="comment"><font color="firebrick">:: LMOD_7:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</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">K</font><br/>  for <font color="Olive" title="b3">a1</font>, <font color="Olive" title="b4">a2</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b2">V</font><br/>  for <font color="Olive" title="b5">W</font> being    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b2">V</font> holds <br/> ( <font color="Olive" title="b3">a1</font> <a href="lmod_7.html#K18" title="LMOD_7:func.18">/</a> <font color="Olive" title="b5">W</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">a2</font> <a href="lmod_7.html#K18" title="LMOD_7:func.18">/</a> <font color="Olive" title="b5">W</font> iff <font color="Olive" title="b3">a1</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b4">a2</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b5">W</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="lmod_7.html#T11" target="_self" onmouseover="rs('lmod_7/T11')" onmouseout="rh()">Th11</a></span>;<br/></div></div>
