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<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>6</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>8</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>6</sub></font>;<br/>





<b>assume </b><a NAME="E1:5"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>7</sub></font>
 ;<br/>

<a NAME="E2:5"/><b>then </b>
 <a href="connsp_3.html#K2">Down</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>8</sub></font>
 
<b>by </b><i><a class="ref" href="connsp_3.html#D3">CONNSP_3:def 3</a></i>;<br/>
<a NAME="E3:5"/><b>then </b><i><font color="Green">E14</font></i>: 
 <a href="connsp_3.html#K6">skl</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="connsp_1.html#K1">skl</a> <span class="p1">(<span class="default"><a href="connsp_3.html#K2">Down</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>7</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="topalg_5.html#E1:5"><i><font color="Green">E13</font></i></a>, <a class="ref" href="connsp_3.html#D7">CONNSP_3:def 7</a></i>;<br/>
<a NAME="E4:5"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="pre_topc.html#K3">|</a> <font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font>
 
<b>by </b><i><a class="ref" href="pre_topc.html#T29">PRE_TOPC:29</a></i>;<br/>
<b>hence </b><a NAME="E5:5"/>
 <a href="connsp_3.html#K6">skl</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>7</sub></font>
 <b>by </b><i><a class="txt" href="topalg_5.html#E3:5"><i><font color="Green">E14</font></i></a></i>;<br/>


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