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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: GROUP_1A:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b2">g</font>, <font color="Olive" title="b3">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b3">h</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font> &amp; <font color="Olive" title="b2">g</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font> holds <br/><font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K2" title="GROUP_1A:func.2">-</a> <font color="Olive" title="b3">h</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#D4" target="_self" onmouseover="rs('group_1a/D4')" onmouseout="rh()">Def5</a></span>;<br/></div></div>
