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<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/>

<a NAME="E1:73"/><i><font color="Green">E40</font></i>: 
not  <a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font> <a href="group_1.html#NR2" target="_self">is_of_order_0</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E2:73"/><i><font color="Green">E46</font></i>: 
( <span class="p1">(<span class="default"><a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font></span>)</span> <a href="group_1.html#K6" target="_self">|^</a> 1 <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font> &amp; 1 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 
<b>by </b><i/>;<br/>
<a NAME="E3:73"/>
for <font color="Olive">n</font> being  <a href="nat_1.html#NM1">Nat</a>  st <span class="p1">(<span class="default"><a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font></span>)</span> <a href="group_1.html#K6" target="_self">|^</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a>  <a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font> &amp; <font color="Olive">n</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 holds <br/>1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">n</font>
 
<b>by </b><i><a class="ref" href="nat_1.html#T39">NAT_1:39</a></i>;<br/>
<b>hence </b><a NAME="E4:73"/>
 <a href="group_1.html#K7" target="_self">ord</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" target="_self">1.</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a> 1
 <b>by </b><i>, , </i>;<br/>


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