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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E61">Th73</font></span>: <a NAME="T68"><span class="comment"><font color="firebrick">:: GROUP_22:68</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">N</font> being   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_3.html#V1" title="GROUP_3:attr.1">normal</a>   <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">phi</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font>  st  <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">phi</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">N</font></span>)</span> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a> <font color="Olive" title="b2">N</font> holds <br/> ex <font color="Olive" title="b4">sigma</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="group_6.html#K5" title="GROUP_6:func.5">./.</a> <font color="Olive" title="b2">N</font></span>)</span> st <br/> for <font color="Olive" title="b5">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds  <font color="Olive" title="b4">sigma</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">x</font> <a href="group_2.html#K13" title="GROUP_2:func.13">*</a> <font color="Olive" title="b2">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">phi</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">x</font></span>)</span> <a href="group_2.html#K13" title="GROUP_2:func.13">*</a> <font color="Olive" title="b2">N</font></div></div>
