<?xml version="1.0"?>
<div class="add">

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

<a NAME="E1:144"/>
 <a href="group_2.html#K14" target="_self">Left_Cosets</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="group_2.html#T172" target="_self">Th172</a></i>;<br/>
<b>hence </b> <a href="group_2.html#K17" target="_self">index</a> <span class="p1">(<span class="default"><a href="group_2.html#K6" target="_self">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
 <a href="card_1.html#K4">card</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font></span><a href="tarski.html#K1">}</a></span>
<b>by </b><i><a class="ref" href="group_2.html#D18" target="_self">Def18</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="card_1.html#T79">CARD_1:79</a></i>
;<br/><br/>


</div>
