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<b>let </b><font color="Maroon">S</font> be  <a href="pre_topc.html#V4">closed</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/>

<b>assume </b><a NAME="E1:19"/>
<font color="Maroon">S</font> is <a href="jordan2c.html#V1">Bounded</a>
 ;<br/>

<b>then </b> <a href="pscomp_1.html#K6">Cl</a> <span class="p1">(<span class="default"><a href="pscomp_1.html#K14">proj2</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font></span>)</span> = 
<a href="pscomp_1.html#K14">proj2</a>  <a href="relset_1.html#K10">.:</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K4">Cl</a> <font color="Maroon">S</font></span>)</span>
<b>by </b><i><a class="ref" href="topreal6.html#T93">TOPREAL6:93</a></i>
<br/>.= 
<a href="pscomp_1.html#K14">proj2</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font>
<b>by </b><i><a class="ref" href="pre_topc.html#T52">PRE_TOPC:52</a></i>
;<br/>
<b>hence </b><a NAME="E3:19"/>
<a href="pscomp_1.html#K14">proj2</a>  <a href="relset_1.html#K10">.:</a> <font color="Maroon">S</font> is <a href="rcomp_1.html#V2">closed</a>
 ;<br/>


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