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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E173">Th34</font></span>: <a NAME="T235"><span class="comment"><font color="firebrick">:: GROUP_1A:235</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">A</font>, <font color="Olive" title="b3">B</font>, <font color="Olive" title="b4">C</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="ideal_1.html#K11" title="IDEAL_1:func.11">+</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="group_1a.html#K26" title="GROUP_1A:func.26">*</a> <font color="Olive" title="b4">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="group_1a.html#K26" title="GROUP_1A:func.26">*</a> <font color="Olive" title="b4">C</font></span>)</span> <a href="ideal_1.html#K11" title="IDEAL_1:func.11">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">B</font> <a href="group_1a.html#K26" title="GROUP_1A:func.26">*</a> <font color="Olive" title="b4">C</font></span>)</span></div></div>
