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<b>let </b><font color="Maroon">p1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">p2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:66_1_1"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">X</font> <a href="lattice3.html#R4" target="_self">is_less_than</a> <font color="Maroon">p1</font> &amp; ( for <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>  st <font color="Maroon">X</font> <a href="lattice3.html#R4" target="_self">is_less_than</a> <font color="Olive">r</font> holds <br/><font color="Maroon">p1</font> <a href="lattices.html#R1">[=</a> <font color="Olive">r</font> ) )
 <b>and </b><br/><a NAME="E2:66_1_1"/><i><font color="Green">E25</font></i>: 
( <font color="Maroon">X</font> <a href="lattice3.html#R4" target="_self">is_less_than</a> <font color="Maroon">p2</font> &amp; ( for <font color="Olive">r</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>  st <font color="Maroon">X</font> <a href="lattice3.html#R4" target="_self">is_less_than</a> <font color="Olive">r</font> holds <br/><font color="Maroon">p2</font> <a href="lattices.html#R1">[=</a> <font color="Olive">r</font> ) )
 ;<br/>

<a NAME="E3:66_1_1"/>
( <font color="Maroon">p1</font> <a href="lattices.html#R1">[=</a> <font color="Maroon">p2</font> &amp; <font color="Maroon">p2</font> <a href="lattices.html#R1">[=</a> <font color="Maroon">p1</font> )
 
<b>by </b><i><a class="ref" href="lattice3.html#T2" target="_self">Th2</a>, <a class="ref" href="lattice3.html#T3" target="_self">Th3</a></i>;<br/>
<b>hence </b><a NAME="E4:66_1_1"/>
<font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font>
 <b>by </b><i>, <a class="ref" href="lattices.html#T26">LATTICES:26</a></i>;<br/>


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