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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="lattice3.html#V3">complete</a> <a href="orders_2.html#NM1">Poset</a>;<br/>

<a NAME="E1:7"/><i><font color="Green">E31</font></i>: 
 <a href="grcat_1.html#K7">id</a> <font color="Maroon">L</font> is <a href="waybel_0.html#V22">directed-sups-preserving</a>
 
<b>by </b><i/>;<br/>
<a NAME="E2:7"/>
 <a href="grcat_1.html#K7">id</a> <font color="Maroon">L</font> is <a href="waybel_0.html#V17">infs-preserving</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:7"/>
 <a href="grcat_1.html#K7">id</a> <font color="Maroon">L</font> is    <a href="waybel16.html#M1">CLHomomorphism</a> of <font color="Maroon">L</font>,<font color="Maroon">L</font>
 <b>by </b><i>, <a class="ref" href="waybel16.html#D1">WAYBEL16:def 1</a></i>;<br/>


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