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<b>let </b><font color="Maroon">S</font> be  <a href="compts_1.html#V6">compact</a> <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/>

<a NAME="E1:4"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">S</font> is <a href="jordan2c.html#V1">Bounded</a> &amp; <font color="Maroon">S</font> is <a href="pre_topc.html#V4">closed</a> )
 
<b>by </b><i><a class="ref" href="jordan2c.html#T73">JORDAN2C:73</a></i>;<br/>
<a NAME="E2:4"/><b>then </b><i><font color="Green">E41</font></i>: 
<a href="pscomp_1.html#K13">proj1</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font> is <a href="rcomp_1.html#V2">closed</a>
 
<b>by </b><i/>;<br/>
<a NAME="E3:4"/>
<a href="pscomp_1.html#K13">proj1</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font> is <a href="seq_4.html#V3">bounded</a>
 
<b>by </b><i>, <a class="ref" href="jordan1c.html#T4">JORDAN1C:4</a></i>;<br/>
<b>hence </b><a NAME="E4:4"/>
<a href="pscomp_1.html#K13">proj1</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font> is <a href="rcomp_1.html#V1">compact</a>
 <b>by </b><i>, <a class="ref" href="rcomp_1.html#T29">RCOMP_1:29</a></i>;<br/>


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