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<b>set </b><font color="Maroon">c1</font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font>;<br/>
<b>set </b><font color="Maroon">c2</font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font>;<br/>
<b>set </b><font color="Maroon">t1</font> = the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font>;<br/>
<b>set </b><font color="Maroon">t2</font> = the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font>;<br/>
<a NAME="E1:85_1_1"/>
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font> &amp; the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font> )
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:85_1_1"/><b>then </b>
(  <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> &amp;  <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T79">ZFMISC_1:79</a></i>;<br/>
<a NAME="E3:85_1_1"/><b>then </b>
( the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font> <a href="tarski.html#R1">c=</a>  <a href="zfmisc_1.html#K1">bool</a> <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">t</font> = the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font> as   <a href="setfam_1.html#NM1">Subset-Family</a> of <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> <b>by </b><i><a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>
<b>reconsider </b><font color="Maroon">t</font> = <font color="Maroon">t</font> as   <a href="setfam_1.html#NM1">Subset-Family</a> of <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span> ;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="pre_topc.html#G1">TopStruct</a>(# <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span>,<font color="Maroon">t</font> #);<br/>
<b>consider </b><font color="Maroon">T</font> being    <a href="yellow_9.html#M2" target="_self">TopExtension</a> of  <a href="pre_topc.html#G1">TopStruct</a>(# <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span>,<font color="Maroon">t</font> #)<b> such that </b><br/><a NAME="E7:85_1_1"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">T</font> is <a href="pre_topc.html#V1">strict</a> &amp; <font color="Maroon">t</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T</font> )
 <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">T</font> = <font color="Maroon">T</font> as  <a href="pre_topc.html#V1">strict</a>  <a href="yellow_9.html#M2" target="_self">TopExtension</a> of  <a href="pre_topc.html#G1">TopStruct</a>(# <span class="p1">(<span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font></span>)</span>,<font color="Maroon">t</font> #) <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">T</font>
;<br/>

<b>thus </b><a NAME="E9:85_1_1"/>
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font> &amp; the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font> <a href="xboole_0.html#K2">\/</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font> is    <a href="cantor_1.html#M2">prebasis</a> of <font color="Maroon">T</font> )
 <b>by </b><i>, </i>;<br/>


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