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<b>let </b><font color="Maroon" title="c1">A</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:84_1_1"/>
<font color="Maroon" title="c1">A</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c2">B</font> = <font color="Maroon" title="c1">A</font> as  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="topmetr.html#K3" title="TOPMETR:func.3">R^1</a>  <b>by </b><i><a class="ref" href="topmetr.html#T24" title="TOPMETR:th.24">TOPMETR:24</a></i>;<br/>
<a NAME="E3:84_1_1"/>
<font color="Maroon" title="c2">B</font> is <a href="compts_1.html#V6" title="COMPTS_1:attr.6">compact</a>
 
;<br/>
<b>hence </b><a NAME="E4:84_1_1"/>
<font color="Maroon" title="c1">A</font> is <a href="rcomp_1.html#V1" title="RCOMP_1:attr.1">compact</a>
 <b>by </b><i><a class="ref" href="topreal6.html#T81" target="_self" title="TOPREAL6:th.81">Th81</a></i>;<br/>


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