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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:33"/>
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">L</font> holds   <a href="yellow_0.html#R2">ex_inf_of</a> <font color="Olive">A</font>,<font color="Maroon">L</font>
 ;<br/>

<a NAME="E2:33"/><b>then </b>
for <font color="Olive">X</font> being   <a href="hidden.html#M1">set</a>  holds   <a href="yellow_0.html#R2">ex_inf_of</a> <font color="Olive">X</font>,<font color="Maroon">L</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:33"/>
<font color="Maroon">L</font> is <a href="lattice3.html#V3">complete</a>
 <b>by </b><i/>;<br/>


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