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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th38</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: GROUP_24:46</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> holds   <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>,<span class="p1">(<span class="default"><a href="group_6.html#K7" title="GROUP_6:func.7">1:</a> (<font color="Olive" title="b2">A</font>,<span class="p2">(<span class="default"><a href="autgroup.html#K3" title="AUTGROUP:func.3">AutGroup</a> <font color="Olive" title="b1">G</font></span>)</span>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">A</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></div></div>
