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<b>set </b><font color="Maroon">c<sub>1</sub></font> =  <a href="yellow_1.html#K3">BoolePoset</a> 1;<br/>
<a NAME="E1:49_1_1"/><i><font color="Green">E40</font></i>: 
 <a href="yellow_1.html#K3">BoolePoset</a> 1 <a href="hidden.html#R1">=</a>  <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1">bool</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="yellow_1.html#T4">YELLOW_1:4</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>2</sub></font> being  <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of  <a href="yellow_1.html#K3">BoolePoset</a> 1;<br/>
<b>take </b>
<font color="Maroon">c<sub>2</sub></font>
;<br/>

<a NAME="E3:49_1_1"/>
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>2</sub></font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> 1</span>)</span>,the <a href="orders_2.html#U1">InternalRel</a> of <span class="p1">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> 1</span>)</span> #)
 
<b>by </b><i><a class="ref" href="yellow_9.html#D4">YELLOW_9:def 4</a></i>;<br/>
<a NAME="E4:49_1_1"/><b>then </b>
( 0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 1 &amp; the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="zfmisc_1.html#K1">bool</a> 1 &amp; 0 <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">0,1</span><a href="tarski.html#K2">}</a></span> &amp; 1 <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">0,1</span><a href="tarski.html#K2">}</a></span> )
 
<b>by </b><i><a class="txt" href="waybel26.html#E1:49_1_1"><i><font color="Green">E40</font></i></a>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a>, <a class="ref" href="yellow_1.html#T1">YELLOW_1:1</a></i>;<br/>
<b>hence </b><a NAME="E5:49_1_1"/>
( not <font color="Maroon">c<sub>2</sub></font> is <a href="realset2.html#V3">trivial</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="lattice3.html#V3">complete</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="waybel11.html#V4">Scott</a> )
 <b>by </b><i><a class="ref" href="realset2.html#D7">REALSET2:def 7</a>, <a class="ref" href="yellow14.html#T1">YELLOW14:1</a></i>;<br/>


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