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<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/>

<a NAME="E1:73"/><i><font color="Green" title="E58">A1</font></i>: 
not  <a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font> <a href="group_1.html#NR2" title="GROUP_1:NR.2">is_of_order_0</a> 
 
<b>by </b><i><a class="ref" href="group_1.html#T79" target="_self" title="GROUP_1:th.79">Th79</a></i>;<br/>
<a NAME="E2:73"/><i><font color="Green" title="E59">A2</font></i>: 
( <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="group_1.html#K6" title="GROUP_1:func.6">|^</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font> &amp; 1 <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0 )
 
<b>by </b><i><a class="ref" href="group_1.html#T42" target="_self" title="GROUP_1:th.42">Th42</a></i>;<br/>
<a NAME="E3:73"/>
for <font color="Olive" title="b1">n</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>  st <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="group_1.html#K6" title="GROUP_1:func.6">|^</a> <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font> &amp; <font color="Olive" title="b1">n</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0 holds <br/>1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">n</font>
 
<b>by </b><i><a class="ref" href="nat_1.html#T14" title="NAT_1:th.14">NAT_1:14</a></i>;<br/>
<b>hence </b><a NAME="E4:73"/>
 <a href="group_1.html#K7" title="GROUP_1:func.7">ord</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="txt" href="group_1.html#E1:73"><i><font color="Green" title="E58">A1</font></i></a>, <a class="txt" href="group_1.html#E2:73"><i><font color="Green" title="E59">A2</font></i></a>, <a class="ref" href="group_1.html#D12" target="_self" title="GROUP_1:def.12">Def12</a></i>;<br/>


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