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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th42</font></span>: <a NAME="T42"><span class="comment"><font color="firebrick">:: ZMODUL02:42</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">L</font> being    <a href="vectsp_6.html#M1" title="VECTSP_6:mode.1">Linear_Combination</a> of <font color="Olive" title="b2">V</font> holds  <font color="Olive" title="b3">L</font> <a href="vectsp_6.html#K8" title="VECTSP_6:func.8">-</a> <font color="Olive" title="b3">L</font> <a href="vectsp_6.html#R1" title="VECTSP_6:pred.1">=</a>  <a href="vectsp_6.html#K2" title="VECTSP_6:func.2">ZeroLC</a> <font color="Olive" title="b2">V</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_6.html#T43" onmouseover="rs('vectsp_6/T43')" onmouseout="rh()">VECTSP_6:43</a></span>;<br/></div></div>
