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<b>let </b><font color="Maroon">H</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:123"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">H</font> <a href="waybel_1.html#NR13" target="_self">is_a_Heyting_algebra</a> 
 ;<br/>

<a NAME="E2:123"/><b>then </b><i><font color="Green">E35</font></i>: 
<font color="Maroon">H</font> is   <a href="waybel_0.html#NM8">LATTICE</a>
 
<b>by </b><i/>;<br/>
<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">H</font>;<br/>

<a NAME="E3:123"/>
<font color="Maroon">H</font> is <a href="yellow_0.html#V2">upper-bounded</a>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:123"/><b>then </b>
<font color="Maroon">a</font> <a href="orders_2.html#R1">&lt;=</a>  <a href="yellow_0.html#K4">Top</a> <font color="Maroon">H</font>
 
<b>by </b><i><a class="ref" href="waybel_1.html#D10" target="_self">Def10</a>, <a class="ref" href="yellow_0.html#T45">YELLOW_0:45</a></i>;<br/>
<b>hence </b><a NAME="E5:123"/>
 <a href="yellow_0.html#K4">Top</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="waybel_1.html#K6" target="_self">=&gt;</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K4">Top</a> <font color="Maroon">H</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="waybel_1.html#D9" target="_self">Def9</a></i>;<br/>


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