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

the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="group_6.html#K6" target="_self">./.</a> <span class="p2">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> = 
 <a href="group_6.html#K4" target="_self">Cosets</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

<br/>.= 
 <a href="group_2.html#K14">Left_Cosets</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

<br/>.= 
<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">GROUP_2:172</a></i>
;<br/>
<b>hence </b><a NAME="E2:95"/>
<font color="Maroon">c<sub>1</sub></font> <a href="group_6.html#K6" target="_self">./.</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> is <a href="realset2.html#V3">trivial</a>
 <b>by </b><i><a class="ref" href="group_6.html#D2" target="_self">Def2</a></i>;<br/>


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