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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#V4">antisymmetric</a> <a href="yellow_0.html#V1" target="_self">lower-bounded</a>  <a href="orders_2.html#L1">RelStr</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="E1:59"/>
(  <a href="yellow_0.html#K3" target="_self">Bottom</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1" target="_self">"\/"</a> <a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">L</font> &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="lattice3.html#R2">is_&lt;=_than</a> <font color="Maroon">x</font> &amp;  <a href="yellow_0.html#R1" target="_self">ex_sup_of</a>  <a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">L</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E2:59"/>
 <a href="yellow_0.html#K3" target="_self">Bottom</a> <font color="Maroon">L</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">x</font>
 <b>by </b><i/>;<br/>


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