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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E63">Th73</font></span>: <a NAME="T69"><span class="comment"><font color="firebrick">:: GROUP_24:69</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">A</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b3">phi</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Olive" title="b2">A</font>,<span class="p1">(<span class="default"><a href="autgroup.html#K3" title="AUTGROUP:func.3">AutGroup</a> <font color="Olive" title="b1">G</font></span>)</span>  st <font color="Olive" title="b1">G</font> is  <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>  &amp; <font color="Olive" title="b1">G</font> is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  holds <br/> <a href="group_24.html#K1" title="GROUP_24:func.1">semidirect_product</a> (<font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">phi</font>),<font color="Olive" title="b2">A</font> <a href="group_6.html#R2" title="GROUP_6:pred.2">are_isomorphic</a> </div></div>
