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 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">A</font> holds  <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c2">R</font></span>)</span> <a href="waybel_3.html#K3" title="WAYBEL_3:func.3">.</a> <font color="Olive" title="b1">i</font> is   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>   <a href="waybel_1.html#V9" title="WAYBEL_1:attr.9">Heyting</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>
 
;<br/>
<a NAME="E2:33_1_1"/><span class="kw">then </span>
(  <a href="yellow_1.html#K4" title="YELLOW_1:func.4">product</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c2">R</font></span>)</span> is  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  &amp;  <a href="yellow_1.html#K4" title="YELLOW_1:func.4">product</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <font color="Maroon" title="c2">R</font></span>)</span> is  <a href="waybel_1.html#V9" title="WAYBEL_1:attr.9">Heyting</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lfuzzy_0.html#T13" target="_self" onmouseover="rs('lfuzzy_0/T13')" onmouseout="rh()">Th13</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:33_1_1"/>
<font color="Maroon" title="c2">R</font> <a href="yellow_1.html#K5" title="YELLOW_1:func.5">|^</a> <font color="Maroon" title="c1">A</font> is  <a href="waybel_1.html#V9" title="WAYBEL_1:attr.9">Heyting</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_1.html#D5" onmouseover="rs('yellow_1/D5')" onmouseout="rh()">YELLOW_1:def 5</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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