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<b>consider </b><font color="Maroon">c<sub>1</sub></font> being    <a href="hidden.html#M1">set</a> ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> =  <a href="orders_2.html#G1">RelStr</a>(# <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="tarski.html#K1">}</a></span>,<span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> <span class="p2"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="tarski.html#K1">}</a></span></span>)</span> #) as  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a> ;<br/>
<a NAME="E3:16_1_1"/>
 <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="pre_topc.html#T12">PRE_TOPC:12</a></i>;<br/>
<a NAME="E4:16_1_1"/><b>then </b>
not <font color="Maroon">c<sub>2</sub></font> is <a href="orders_3.html#V3" target="_self">disconnected</a>
 
<b>by </b><i><a class="ref" href="orders_3.html#T4" target="_self">Th4</a></i>;<br/>
<b>hence </b><a NAME="E5:16_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="orders_2.html#V1">strict</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="orders_3.html#V3" target="_self">disconnected</a> )
 ;<br/>


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