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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">LMFirst1</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: ZMODUL07:27</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>, <font color="Olive" title="b3">U</font>, <font color="Olive" title="b4">W</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="b5">f</font> being   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <font color="Olive" title="b2">V</font>,<font color="Olive" title="b3">U</font><br/>  for <font color="Olive" title="b6">g</font> being   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <font color="Olive" title="b3">U</font>,<font color="Olive" title="b4">W</font> holds  <font color="Olive" title="b6">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b5">f</font> is   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <font color="Olive" title="b2">V</font>,<font color="Olive" title="b4">W</font></div></div>
