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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:98"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="group_6.html#R2" target="_self">are_isomorphic</a> 
 <b>and </b><br/><a NAME="E2:98"/><i><font color="Green">E72</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="group_1.html#V6">finite</a>
 ;<br/>

<a NAME="E3:98"/>
 <a href="group_1.html#K8">Ord</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="group_1.html#K8">Ord</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="group_6.html#E1:98"><i><font color="Green">E71</font></i></a>, <a class="ref" href="group_6.html#T84" target="_self">Th84</a></i>;<br/>
<b>then </b><i><font color="Green">E73</font></i>:  <a href="card_1.html#K1">Card</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> = 
 <a href="group_1.html#K8">Ord</a> <font color="Maroon">c<sub>2</sub></font>

<br/>.= 
 <a href="card_1.html#K1">Card</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>

;<br/>
<a NAME="E5:98"/><i><font color="Green">E74</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="group_1.html#V6">finite</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="group_1.html#V6">finite</a> )
 
<b>by </b><i><a class="txt" href="group_6.html#E1:98"><i><font color="Green">E71</font></i></a>, <a class="txt" href="group_6.html#E2:98"><i><font color="Green">E72</font></i></a>, <a class="ref" href="group_6.html#T85" target="_self">Th85</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>3</sub></font> being  <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E7:98"/><i><font color="Green">E75</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="group_1.html#D15">GROUP_1:def 15</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>4</sub></font> being  <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E9:98"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K4">card</a> <font color="Maroon">c<sub>4</sub></font> )
 <b>by </b><i><a class="txt" href="group_6.html#E5:98"><i><font color="Green">E74</font></i></a>, <a class="ref" href="group_1.html#D15">GROUP_1:def 15</a></i>;<br/>
<b>thus </b><a NAME="E10:98"/>
 <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="group_6.html#E4:98"><i><font color="Green">E73</font></i></a>, <a class="txt" href="group_6.html#E7:98"><i><font color="Green">E75</font></i></a>, <a class="txt" href="group_6.html#E9:98"><i><font color="Green">E76</font></i></a></i>;<br/>


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