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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E45">Th57</font></span>: <a NAME="T57"><span class="comment"><font color="firebrick">:: GROUP_6:57</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">H</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b3">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> holds <br/> ( <font color="Olive" title="b3">h</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  iff  <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> )</div></div>
