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<b>reconsider </b><font color="Maroon">S</font> =  <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font> as   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">T</font> <b>by </b><i><a class="ref" href="zfmisc_1.html#D1">ZFMISC_1:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">S</font> = <font color="Maroon">S</font> as   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">T</font> ;<br/>
<b>set </b><font color="Maroon">R</font> =  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,<font color="Maroon">S</font> #);<br/>
<a NAME="E3:84_1_1"/><i><font color="Green">E32</font></i>: 
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,<font color="Maroon">S</font> #) is  <a href="tdlat_3.html#V1">discrete</a>  <a href="pre_topc.html#L1">TopStruct</a> 
 
<b>by </b><i><a class="ref" href="tdlat_3.html#D1">TDLAT_3:def 1</a></i>;<br/>
<a NAME="E4:84_1_1"/>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">S</font>
 
;<br/>
<a NAME="E5:84_1_1"/><b>then </b>
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,<font color="Maroon">S</font> #) is    <a href="yellow_9.html#M2" target="_self">TopExtension</a> of <font color="Maroon">T</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E6:84_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="yellow_9.html#M2" target="_self">TopExtension</a> of <font color="Maroon">T</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="pre_topc.html#V1">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="tdlat_3.html#V1">discrete</a> )
 <b>by </b><i/>;<br/>


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