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<b>let </b><font color="Maroon" title="c2">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="compts_1.html#K1" title="COMPTS_1:func.1">1TopSp</a> <font color="Maroon" title="c2">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">X</font> <a href="topgen_3.html#K7" title="TOPGEN_3:func.7">-DiscreteTop</a> <font color="Maroon" title="c2">X</font></span><br/>

<b>set </b><font color="Maroon" title="c3">T</font> = <font color="Maroon" title="c2">X</font> <a href="topgen_3.html#K7" title="TOPGEN_3:func.7">-DiscreteTop</a> <font color="Maroon" title="c2">X</font>;<br/>
<a NAME="E1:64"/><i><font color="Green" title="E47">A1</font></i>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c2">X</font> <a href="topgen_3.html#K7" title="TOPGEN_3:func.7">-DiscreteTop</a> <font color="Maroon" title="c2">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">X</font>
 
<b>by </b><i><a class="ref" href="topgen_3.html#D8" target="_self" title="TOPGEN_3:def.8">Def8</a></i>;<br/>
<a NAME="E2:64"/>
<font color="Maroon" title="c2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c2">X</font>
 
;<br/>
<a NAME="E3:64"/><b>then </b>
( the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c2">X</font> <a href="topgen_3.html#K7" title="TOPGEN_3:func.7">-DiscreteTop</a> <font color="Maroon" title="c2">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">X</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <font color="Maroon" title="c2">X</font></span>)</span> &amp; <font color="Maroon" title="c2">X</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <font color="Maroon" title="c2">X</font> )
 
<b>by </b><i><a class="ref" href="topgen_3.html#T44" target="_self" title="TOPGEN_3:th.44">Th44</a></i>;<br/>
<b>hence </b><a NAME="E4:64"/>
 <a href="compts_1.html#K1" title="COMPTS_1:func.1">1TopSp</a> <font color="Maroon" title="c2">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">X</font> <a href="topgen_3.html#K7" title="TOPGEN_3:func.7">-DiscreteTop</a> <font color="Maroon" title="c2">X</font>
 <b>by </b><i><a class="txt" href="#E1:64"><i><font color="Green" title="E47">A1</font></i></a>, <a class="ref" href="zfmisc_1.html#T46" title="ZFMISC_1:th.46">ZFMISC_1:46</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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