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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">ThMorphismOfCommutators</font></span>: <a NAME="T56"><span class="comment"><font color="firebrick">:: GROUP_23:56</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">phi</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">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G1</font>  st <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="group_5.html#K6" title="GROUP_5:func.6">commutators</a> <font color="Olive" title="b1">G1</font> holds <br/><font color="Olive" title="b3">phi</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="group_5.html#K6" title="GROUP_5:func.6">commutators</a> <font color="Olive" title="b2">G2</font></div></div>
