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<a NAME="E1:35_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> holds <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="waybel_3.html#K6">.</a> <font color="Olive">b<sub>1</sub></font> is  <a href="lattice3.html#V3">complete</a> <a href="waybel_1.html#V9">Heyting</a> <a href="waybel_0.html#NM8">LATTICE</a>
 
<b>by </b><i><a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>;<br/>
<a NAME="E2:35_1_1"/><b>then </b>
(  <a href="yellow_1.html#K5">product</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> is <a href="lattice3.html#V3">complete</a> &amp;  <a href="yellow_1.html#K5">product</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="pre_circ.html#K2">--&gt;</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> is <a href="waybel_1.html#V9">Heyting</a> )
 
<b>by </b><i><a class="ref" href="lfuzzy_0.html#T13" target="_self">Th13</a></i>;<br/>
<b>hence </b><a NAME="E3:35_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="yellow_1.html#K6">|^</a> <font color="Maroon">c<sub>1</sub></font> is <a href="waybel_1.html#V9">Heyting</a>
 <b>by </b><i><a class="ref" href="yellow_1.html#D5">YELLOW_1:def 5</a></i>;<br/>


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