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<b>let </b><font color="Maroon">c<sub>9</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <a href="topalg_2.html#K3">R^1</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tsep_1.html#D1">TSEP_1:def 1</a><br/>

<b>assume </b><a NAME="E1:18_1_1"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="topalg_2.html#K3">R^1</a>  <a href="pre_topc.html#K3">|</a> <span class="p2">(<span class="default"><a href="toprealb.html#K5" target="_self">R^1</a> <font color="Maroon">c<sub>8</sub></font></span>)</span></span>)</span>
 ;<br/>

the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="topalg_2.html#K3">R^1</a>  <a href="pre_topc.html#K3">|</a> <span class="p2">(<span class="default"><a href="toprealb.html#K5" target="_self">R^1</a> <font color="Maroon">c<sub>8</sub></font></span>)</span></span>)</span> = 
 <a href="toprealb.html#K5" target="_self">R^1</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="pre_topc.html#T29">PRE_TOPC:29</a></i>
<br/>.= 
<font color="Maroon">c<sub>8</sub></font>

;<br/>
<b>hence </b><a NAME="E3:18_1_1"/>
<font color="Maroon">c<sub>9</sub></font> is <a href="pre_topc.html#V3">open</a>
 <b>by </b><i><a class="txt" href="toprealb.html#E1:18_1_1"><i><font color="Green">E13</font></i></a></i>;<br/>


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