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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: GROUP_6:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">H</font>, <font color="Olive" title="b3">I</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b4">h</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font><br/>  for <font color="Olive" title="b5">h1</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Olive" title="b2">H</font>,<font color="Olive" title="b3">I</font> holds <br/> ( <font color="Olive" title="b5">h1</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="group_6.html#K7" title="GROUP_6:func.7">1:</a> (<font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font>)</span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="group_6.html#K7" title="GROUP_6:func.7">1:</a> (<font color="Olive" title="b1">G</font>,<font color="Olive" title="b3">I</font>) &amp; <span class="p1">(<span class="default"><a href="group_6.html#K7" title="GROUP_6:func.7">1:</a> (<font color="Olive" title="b2">H</font>,<font color="Olive" title="b3">I</font>)</span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b4">h</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="group_6.html#K7" title="GROUP_6:func.7">1:</a> (<font color="Olive" title="b1">G</font>,<font color="Olive" title="b3">I</font>) )</div></div>
