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<b>let </b><font color="Maroon" title="c1">L</font> be   <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/>



<b>thus </b><a NAME="E1:21"/>
( <font color="Maroon" title="c2">a</font> <a href="yellow_5.html#R2" title="YELLOW_5:pred.2">meets</a> <font color="Maroon" title="c2">a</font> implies <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:21_1"/>
<font color="Maroon" title="c2">a</font> <a href="yellow_5.html#R2" title="YELLOW_5:pred.2">meets</a> <font color="Maroon" title="c2">a</font>
 ;<br/>

<a NAME="E2:21_1"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="lattice3.html#K12" title="LATTICE3:func.12">"/\"</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="yellow_5.html#D3" target="_self" title="YELLOW_5:def.3">Def3</a></i>;<br/>
<b>hence </b><a NAME="E3:21_1"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font>
 <b>by </b><i><a class="ref" href="yellow_5.html#T2" target="_self" title="YELLOW_5:th.2">Th2</a></i>;<br/>


</div><b>end;</b></div>

<b>thus </b><a NAME="E2:21"/>
( <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font> implies <font color="Maroon" title="c2">a</font> <a href="yellow_5.html#R2" title="YELLOW_5:pred.2">meets</a> <font color="Maroon" title="c2">a</font> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:21_2"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font>
 ;<br/>

<a NAME="E2:21_2"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="lattice3.html#K12" title="LATTICE3:func.12">"/\"</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="yellow_0.html#K3" title="YELLOW_0:func.3">Bottom</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="yellow_5.html#T2" target="_self" title="YELLOW_5:th.2">Th2</a></i>;<br/>
<b>hence </b><a NAME="E3:21_2"/>
<font color="Maroon" title="c2">a</font> <a href="yellow_5.html#R2" title="YELLOW_5:pred.2">meets</a> <font color="Maroon" title="c2">a</font>
 <b>by </b><i><a class="ref" href="yellow_5.html#D3" target="_self" title="YELLOW_5:def.3">Def3</a></i>;<br/>


</div><b>end;</b></div>


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