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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="orders_2.html#L1">RelStr</a> ;<br/>

<a NAME="E1:21"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="lattice3.html#V2">with_infima</a> iff <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span> <a href="lattice3.html#K7">~</a>  is <a href="lattice3.html#V2">with_infima</a> )
 
<b>by </b><i><a class="ref" href="yellow_7.html#T14" target="_self">Th14</a></i>;<br/>
<b>hence </b><a NAME="E2:21"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="lattice3.html#V2">with_infima</a> iff <font color="Maroon">c<sub>1</sub></font> <a href="yellow_7.html#NK1" target="_self">opp</a>  is <a href="lattice3.html#V1">with_suprema</a> )
 <b>by </b><i><a class="ref" href="lattice3.html#T10">LATTICE3:10</a></i>;<br/>


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