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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="lattice3.html#K3" target="_self">LattPOSet</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>;<br/>





<a NAME="E1:62"/>
( <span class="p1">(<span class="default"><a href="lattice3.html#K5" target="_self">%</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattice3.html#K4" target="_self">%</a>  <a href="hidden.html#R1">=</a>  <a href="lattice3.html#K5" target="_self">%</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="lattice3.html#K5" target="_self">%</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> )
 
;<br/>
<b>hence </b><a NAME="E2:62"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="lattice3.html#R1" target="_self">is_&lt;=_than</a> <font color="Maroon">c<sub>1</sub></font> iff  <a href="lattice3.html#K5" target="_self">%</a> <font color="Maroon">c<sub>3</sub></font> <a href="lattice3.html#R3" target="_self">is_less_than</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="lattice3.html#T28" target="_self">Th28</a></i>;<br/>


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