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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="numbers.html#K1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:84_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>2</sub></font> = <font color="Maroon">c<sub>1</sub></font> as  <a href="finset_1.html#V1">finite</a> <a href="struct_0.html#NM2">Subset</a> of <a href="topmetr.html#K3">R^1</a>  <b>by </b><i><a class="ref" href="topmetr.html#T24">TOPMETR:24</a></i>;<br/>
<a NAME="E3:84_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="compts_1.html#V6">compact</a>
 
;<br/>
<b>hence </b><a NAME="E4:84_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="rcomp_1.html#V1">compact</a>
 <b>by </b><i><a class="ref" href="topreal6.html#T81" target="_self">Th81</a></i>;<br/>


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