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<b>let </b><font color="Maroon">BL</font> be  <a href="lattices.html#V17">Boolean</a> <a href="lattices.html#NM1">Lattice</a>;<br/>

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the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">BL</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">BL</font>
 
;<br/>
<b>then reconsider </b><font color="Maroon">F</font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">BL</font> as  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">BL</font> ;<br/>
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for <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">BL</font>  st <font color="Olive">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> &amp; <font color="Olive">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> holds <br/>( <font color="Olive">a</font> <a href="lattices.html#K4">"/\"</a> <font color="Olive">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> &amp; <font color="Olive">a</font> <a href="lattices.html#K7">`</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> )
 
;<br/>
<b>hence </b><a NAME="E4:45"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">BL</font> is    <a href="lattice4.html#M3" target="_self">Field</a> of <font color="Maroon">BL</font>
 <b>by </b><i/>;<br/>


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