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<b>consider </b><font color="Maroon">s</font> being    <a href="hidden.html#M1">set</a> ;<br/>
<b>set </b><font color="Maroon">D</font> = <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">s</font></span><a href="tarski.html#K1">}</a></span>;<br/>
<b>consider </b><font color="Maroon">R</font> being   <a href="orders_1.html#NM2">Order</a> of <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">s</font></span><a href="tarski.html#K1">}</a></span>;<br/>
<b>reconsider </b><font color="Maroon">A</font> =  <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">s</font></span><a href="tarski.html#K1">}</a></span>,<font color="Maroon">R</font> #) as  <a href="lattice3.html#V1">with_suprema</a> <a href="lattice3.html#V2">with_infima</a> <a href="orders_2.html#NM1">Poset</a> ;<br/>
<b>take </b>
<font color="Maroon">A</font>
;<br/>

<b>thus </b><a NAME="E4:30_1_1"/>
( <font color="Maroon">A</font> is <a href="group_1.html#V6">finite</a> &amp; not <font color="Maroon">A</font> is <a href="struct_0.html#V3">empty</a> )
 <b>by </b><i><a class="ref" href="group_1.html#D14">GROUP_1:def 14</a></i>;<br/>


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