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<b>let </b><font color="Maroon" title="c1">L</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">L</font> is <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a> iff <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a> )</span><br/>

<a NAME="E1:21"/>
( <font color="Maroon" title="c1">L</font> is <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a> iff <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a> </span>)</span> <a href="lattice3.html#K7" title="LATTICE3:func.7">~</a>  is <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a> )
 
<b>by </b><i><a class="ref" href="yellow_7.html#T14" target="_self" title="YELLOW_7:th.14">Th14</a></i>;<br/>
<b>hence </b><a NAME="E2:21"/>
( <font color="Maroon" title="c1">L</font> is <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a> iff <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a> )
 <b>by </b><i><a class="ref" href="lattice3.html#T10" title="LATTICE3:th.10">LATTICE3:10</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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