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<b>set </b><font color="Maroon" title="c11">P2</font> =  <a href="jgraph_6.html#K3" title="JGRAPH_6:func.3">outside_of_rectangle</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font>,<font color="Maroon" title="c9">c</font>,<font color="Maroon" title="c10">d</font>;<br/>
<a NAME="E1:75_1_1"/><i><font color="Green" title="E52">A1</font></i>: 
( <font color="Maroon" title="c7">a</font> is   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> &amp; <font color="Maroon" title="c8">b</font> is   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> &amp; <font color="Maroon" title="c9">c</font> is   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> &amp; <font color="Maroon" title="c10">d</font> is   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> )
 
<b>by </b><i><a class="ref" href="xreal_0.html#D1" title="XREAL_0:def.1">XREAL_0:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c12">P2</font> =  <a href="jgraph_6.html#K3" title="JGRAPH_6:func.3">outside_of_rectangle</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font>,<font color="Maroon" title="c9">c</font>,<font color="Maroon" title="c10">d</font> as  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</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> <b>by </b><i><a class="txt" href="jordan.html#E1:75_1_1"><i><font color="Green" title="E52">A1</font></i></a>, <a class="ref" href="jordan1.html#T39" title="JORDAN1:th.39">JORDAN1:39</a></i>;<br/>
<a NAME="E3:75_1_1"/>
<font color="Maroon" title="c12">P2</font> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>
 
;<br/>
<b>hence </b><a NAME="E4:75_1_1"/>
 <a href="jgraph_6.html#K2" title="JGRAPH_6:func.2">closed_inside_of_rectangle</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font>,<font color="Maroon" title="c9">c</font>,<font color="Maroon" title="c10">d</font> is <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>
 <b>by </b><i><a class="ref" href="jordan.html#T47" target="_self" title="JORDAN:th.47">Th47</a></i>;<br/>


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