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<div><span class="kw">theorem </span><a NAME="T53"><span class="comment"><font color="firebrick">:: ZMODUL01:53</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">W</font> being   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b2">V</font> holds   <a href="vectsp_4.html#K1" title="VECTSP_4:func.1">(0).</a> <font color="Olive" title="b3">W</font> is   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b2">V</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul01.html#T42" target="_self" onmouseover="rs('zmodul01/T42')" onmouseout="rh()">Th42</a></span>;<br/></div></div>
