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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E244">Th12</font></span>: <a NAME="T347"><span class="comment"><font color="firebrick">:: GROUP_1A:347</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> holds   <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="group_1a.html#K3" title="GROUP_1A:func.3">add_inverse</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">G</font></div></div>
