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<b>let </b><font color="Maroon" title="c1">S</font> be  <a href="compts_1.html#V6" title="COMPTS_1:attr.6">compact</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>;<br/>

<a NAME="E1:21"/><i><font color="Green" title="E17">A1</font></i>: 
<a href="pscomp_1.html#K14" title="PSCOMP_1:func.14">proj2</a>  <a href="relset_1.html#K10" title="RELSET_1:func.10">.:</a> <font color="Maroon" title="c1">S</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a>
 
<b>by </b><i><a class="ref" href="jct_misc.html#T22" target="_self" title="JCT_MISC:th.22">Th22</a></i>;<br/>
<a NAME="E2:21"/>
<a href="pscomp_1.html#K14" title="PSCOMP_1:func.14">proj2</a>  <a href="relset_1.html#K10" title="RELSET_1:func.10">.:</a> <font color="Maroon" title="c1">S</font> is <a href="seq_4.html#V3" title="SEQ_4:attr.3">bounded</a>
 
<b>by </b><i><a class="ref" href="jct_misc.html#T23" target="_self" title="JCT_MISC:th.23">Th23</a></i>;<br/>
<b>hence </b><a NAME="E3:21"/>
<a href="pscomp_1.html#K14" title="PSCOMP_1:func.14">proj2</a>  <a href="relset_1.html#K10" title="RELSET_1:func.10">.:</a> <font color="Maroon" title="c1">S</font> is <a href="rcomp_1.html#V1" title="RCOMP_1:attr.1">compact</a>
 <b>by </b><i><a class="txt" href="jct_misc.html#E1:21"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="rcomp_1.html#T29" title="RCOMP_1:th.29">RCOMP_1:29</a></i>;<br/>


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