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<span class="kw">set </span><font color="Maroon" title="c1">one</font> = <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c2">tau</font> =  <a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> as   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> ;<br/>
<span class="kw">take </span><font color="Maroon" title="c3">Y</font> =  <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<font color="Maroon" title="c2">tau</font> #); <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">Y</font> is  <a href="tdlat_3.html#V1" title="TDLAT_3:attr.1">discrete</a>  &amp; <font color="Maroon" title="c3">Y</font> is  <a href="tdlat_3.html#V2" title="TDLAT_3:attr.2">anti-discrete</a>  &amp; <font color="Maroon" title="c3">Y</font> is  <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  &amp; not <font color="Maroon" title="c3">Y</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:15_1_1"/>
<font color="Maroon" title="c3">Y</font> is  <a href="tdlat_3.html#V1" title="TDLAT_3:attr.1">discrete</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tdlat_3.html#D1" target="_self" title="TDLAT_3:def.1">Def1</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">Y</font> is  <a href="tdlat_3.html#V2" title="TDLAT_3:attr.2">anti-discrete</a>  &amp; <font color="Maroon" title="c3">Y</font> is  <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  &amp; not <font color="Maroon" title="c3">Y</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )</span><br/>

<a NAME="E3:15_1_1"/>
<font color="Maroon" title="c2">tau</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ,<span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T30" title="ZFMISC_1:th.30">ZFMISC_1:30</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:15_1_1"/>
<font color="Maroon" title="c3">Y</font> is  <a href="tdlat_3.html#V2" title="TDLAT_3:attr.2">anti-discrete</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tdlat_3.html#D2" target="_self" title="TDLAT_3:def.2">Def2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">Y</font> is  <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  &amp; not <font color="Maroon" title="c3">Y</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E5:15_1_1"/>
( <font color="Maroon" title="c3">Y</font> is  <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  &amp; not <font color="Maroon" title="c3">Y</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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