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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: MOD_2:11</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">g</font>, <font color="Olive" title="b3">f</font> being   <a href="mod_2.html#NM1" title="MOD_2:NM.1">LModMorphism</a> of <font color="Olive" title="b1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b3">f</font> holds <br/> ex <font color="Olive" title="b4">G1</font>, <font color="Olive" title="b5">G2</font>, <font color="Olive" title="b6">G3</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">R</font> st <br/>( <font color="Olive" title="b2">g</font> is    <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Olive" title="b5">G2</font>,<font color="Olive" title="b6">G3</font> &amp; <font color="Olive" title="b3">f</font> is    <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Olive" title="b4">G1</font>,<font color="Olive" title="b5">G2</font> )</div></div>
