<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T8"><span class="comment"><font color="firebrick">:: LMOD_7:8</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> holds <br/> (  <a href="vectsp_5.html#K6" title="VECTSP_5:func.6">SubMeet</a> <font color="Olive" title="b2">V</font> is  <a href="binop_1.html#V1" title="BINOP_1:attr.1">commutative</a>  &amp;  <a href="vectsp_5.html#K6" title="VECTSP_5:func.6">SubMeet</a> <font color="Olive" title="b2">V</font> is  <a href="binop_1.html#V2" title="BINOP_1:attr.2">associative</a>  &amp;  <a href="vectsp_5.html#K6" title="VECTSP_5:func.6">SubMeet</a> <font color="Olive" title="b2">V</font> is  <a href="setwiseo.html#V1" title="SETWISEO:attr.1">having_a_unity</a>  &amp;  <a href="vectsp_4.html#K2" title="VECTSP_4:func.2">(Omega).</a> <font color="Olive" title="b2">V</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binop_1.html#K3" title="BINOP_1:func.3">the_unity_wrt</a> <span class="p1">(<span class="default"><a href="vectsp_5.html#K6" title="VECTSP_5:func.6">SubMeet</a> <font color="Olive" title="b2">V</font></span>)</span> )</div></div>
