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<b>thus </b><a NAME="E1:69_1_1"/>
 <a href="robbins1.html#K8" title="ROBBINS1:func.8">CLatt</a> <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="69_1_1_1"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon" title="c2">c'</font> =  <a href="robbins1.html#K7" title="ROBBINS1:func.7">Bot</a> <font color="Maroon" title="c1">L</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">c</font> =  <a href="robbins1.html#K7" title="ROBBINS1:func.7">Bot</a> <font color="Maroon" title="c1">L</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="robbins1.html#K8" title="ROBBINS1:func.8">CLatt</a> <font color="Maroon" title="c1">L</font></span>)</span> <b>by </b><i><a class="ref" href="robbins1.html#D11" target="_self" title="ROBBINS1:def.11">Def11</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">c</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="lattices.html#D13" title="LATTICES:def.13">LATTICES:def 13</a><br/>

<b>let </b><font color="Maroon" title="c4">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="robbins1.html#K8" title="ROBBINS1:func.8">CLatt</a> <font color="Maroon" title="c1">L</font></span>)</span>;<br/>

<b>reconsider </b><font color="Maroon" title="c5">a'</font> = <font color="Maroon" title="c4">a</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> <b>by </b><i><a class="ref" href="robbins1.html#D11" target="_self" title="ROBBINS1:def.11">Def11</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c3">c</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Maroon" title="c4">a</font> = 
<span class="p1">(<span class="default"><a href="robbins1.html#K7" title="ROBBINS1:func.7">Bot</a> <font color="Maroon" title="c1">L</font></span>)</span> <a href="robbins1.html#K6" title="ROBBINS1:func.6">*'</a> <font color="Maroon" title="c5">a'</font>
<b>by </b><i><a class="ref" href="robbins1.html#D11" target="_self" title="ROBBINS1:def.11">Def11</a></i>
<br/>.= 
<font color="Maroon" title="c3">c</font>
<b>by </b><i><a class="ref" href="robbins1.html#D9" target="_self" title="ROBBINS1:def.9">Def9</a></i>
;<br/>

<b>hence </b><a NAME="E4:69_1_1_1"/>
<font color="Maroon" title="c4">a</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Maroon" title="c3">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">c</font>
 ;<br/>


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


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