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<b>let </b><font color="Maroon">L</font> be   <a href="waybel_0.html#NM6">Semilattice</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<a NAME="E1:29"/><i><font color="Green">E25</font></i>: 
 <a href="waybel16.html#K1" target="_self">Irr</a> <font color="Maroon">L</font> <a href="tarski.html#R1">c=</a>  <a href="waybel_6.html#K3">IRR</a> <font color="Maroon">L</font>
 
<b>by </b><i/>;<br/>
<b>assume </b><a NAME="E2:29"/>
<font color="Maroon">x</font> is <a href="waybel16.html#V1" target="_self">completely-irreducible</a>
 ;<br/>

<a NAME="E3:29"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="waybel16.html#K1" target="_self">Irr</a> <font color="Maroon">L</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:29"/>
<font color="Maroon">x</font> is <a href="waybel_6.html#V2">meet-irreducible</a>
 <b>by </b><i>, <a class="ref" href="waybel_6.html#D4">WAYBEL_6:def 4</a></i>;<br/>


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