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<b>reconsider </b><font color="Maroon" title="c1">0r</font> =  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> ;<br/>
<a NAME="E2:18_1_1"/>
( <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> &amp; <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> &amp; <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default"><font color="Maroon" title="c1">0r</font></span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> is <a href="seq_4.html#V3" title="SEQ_4:attr.3">bounded</a> )
 
<b>by </b><i><a class="ref" href="rcomp_1.html#T14" title="RCOMP_1:th.14">RCOMP_1:14</a>, <a class="ref" href="seq_4.html#T15" title="SEQ_4:th.15">SEQ_4:15</a></i>;<br/>
<b>hence </b><a NAME="E3:18_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <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>  st <br/>( not <font color="Olive">b<sub>1</sub></font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="seq_4.html#V3" title="SEQ_4:attr.3">bounded</a> )
 ;<br/>


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