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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="prob_1.html#NM2">SetSequence</a> of the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>



<b>assume </b><a NAME="E1:96"/><i><font color="Green">E56</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">c<sub>1</sub></font> <a href="kurato_2.html#K7" target="_self">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E2:96"/><b>then </b>
 <a href="kurato_2.html#K8" target="_self">Lim_inf</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="kurato_2.html#K9" target="_self">Lim_sup</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="kurato_2.html#T76" target="_self">Th76</a></i>;<br/>
<b>hence </b><a NAME="E3:96"/>
 <a href="kurato_2.html#K9" target="_self">Lim_sup</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K4">Cl</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="kurato_2.html#E1:96"><i><font color="Green">E56</font></i></a>, <a class="ref" href="kurato_2.html#T60" target="_self">Th60</a></i>;<br/>


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