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<div>:: <span class="kw">deftheorem </span>   defines <a href="group_1a.html#V3" title="GROUP_1A:attr.3">being_of_order_0</a> <a onclick="hs(this)" href="javascript:()">GROUP_1A:def 9 : <br/></a><span> 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">h</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds <br/> ( <font color="Olive" title="b2">h</font> is  <a href="group_1a.html#V3" title="GROUP_1A:attr.3">being_of_order_0</a>  iff  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">n</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b2">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="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  );<br/></span></div>
