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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="96_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="numbers.html#K1">REAL</a> ;<br/><b>assume </b><a NAME="E1:96_1_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="rcomp_1.html#V3">open</a>
 ;<br/><a NAME="E2:96_1_1_1"/><b>then </b><i><font color="Green">E61</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="relset_1.html#K11">"</a> <font color="Maroon">c<sub>4</sub></font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="ref" href="pscomp_1.html#T54" target="_self">Th54</a></i>;<br/><a NAME="E3:96_1_1_1"/><i><font color="Green">E62</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="pre_topc.html#K3">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="pre_topc.html#T29">PRE_TOPC:29</a></i>;<br/><span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pscomp_1.html#K12" target="_self">||</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relset_1.html#K11">"</a> <font color="Maroon">c<sub>4</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="relset_1.html#K8">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relset_1.html#K11">"</a> <font color="Maroon">c<sub>4</sub></font>

<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="subset_1.html#K9">/\</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="relset_1.html#K11">"</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="funct_1.html#T139">FUNCT_1:139</a></i>
;<br/><b>hence </b><a NAME="E5:96_1_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="pscomp_1.html#K12" target="_self">||</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="relset_1.html#K11">"</a> <font color="Maroon">c<sub>4</sub></font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="txt" href="pscomp_1.html#E2:96_1_1_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="pscomp_1.html#E3:96_1_1_1"><i><font color="Green">E62</font></i></a>, <a class="ref" href="tsp_1.html#D1">TSP_1:def 1</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:96_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="pscomp_1.html#K12" target="_self">||</a> <font color="Maroon">c<sub>3</sub></font> is <a href="pscomp_1.html#V9" target="_self">continuous</a>
 <b>by </b><i><a class="ref" href="pscomp_1.html#T54" target="_self">Th54</a></i>;<br/>


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