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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: GROUP_23:25</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">K</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>  st <font color="Olive" title="b2">H</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds <br/> for <font color="Olive" title="b4">phi</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="b3">K</font> holds  <font color="Olive" title="b4">phi</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">phi</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="group_23.html#K8" title="GROUP_23:func.8">incl</a> (<font color="Olive" title="b2">H</font>,<font color="Olive" title="b1">G</font>)</span>)</span></div></div>
