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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="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="substlat.html#K1">SubstitutionSet</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/>





<a NAME="E1:23"/>
<font color="Maroon">c<sub>3</sub></font> <a href="substlat.html#K4">^</a> <span class="p1">(<span class="default"><a href="heyting2.html#K2" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="heyting2.html#T14" target="_self">Th14</a></i>;<br/>
<b>then </b> <a href="substlat.html#K3">mi</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="substlat.html#K4">^</a> <span class="p2">(<span class="default"><a href="heyting2.html#K2" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> = 
 <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="ref" href="substlat.html#T9">SUBSTLAT:9</a></i>
<br/>.= 
 <a href="lattices.html#K5">Bottom</a> <span class="p1">(<span class="default"><a href="substlat.html#K5">SubstLatt</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="substlat.html#T26">SUBSTLAT:26</a></i>
;<br/>
<b>hence </b><a NAME="E3:23"/>
 <a href="substlat.html#K3">mi</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="substlat.html#K4">^</a> <span class="p2">(<span class="default"><a href="heyting2.html#K2" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="lattices.html#K5">Bottom</a> <span class="p1">(<span class="default"><a href="substlat.html#K5">SubstLatt</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
 ;<br/>


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