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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: GROUP_22:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font><br/>  for <font color="Olive" title="b4">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G1</font> holds   <a href="group_6.html#K9" title="GROUP_6:func.9">Ker</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b4">H</font></span>)</span> is    <a href="group_6.html#M1" title="GROUP_6:mode.1">Subgroup</a> of  <a href="group_6.html#K9" title="GROUP_6:func.9">Ker</a> <font color="Olive" title="b3">f</font></div></div>
