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<b>set </b><font color="Maroon" title="c1">A</font> =  <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a> ;<br/>
<a NAME="E1:34"/>
5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default">2,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a> </span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span>
 
<b>by </b><i><a class="ref" href="borsuk_5.html#T15" title="BORSUK_5:th.15">BORSUK_5:15</a></i>;<br/>
<a NAME="E2:34"/><b>then </b><i><font color="Green" title="E31">A1</font></i>: 
5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T12" target="_self" title="KURATO_1:th.12">Th12</a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E3:34"/><i><font color="Green" title="E32">A2</font></i>: 
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default">4,5</span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 
<b>by </b><i><a class="ref" href="rcomp_1.html#T47" title="RCOMP_1:th.47">RCOMP_1:47</a></i>;<br/>
<a NAME="E4:34"/><i><font color="Green" title="E33">A3</font></i>: 
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default">5,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a> </span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 
<b>by </b><i><a class="ref" href="borsuk_5.html#T14" title="BORSUK_5:th.14">BORSUK_5:14</a></i>;<br/>
<a NAME="E5:34"/>
( not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default">1</span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> &amp; not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="borsuk_5.html#K2" title="BORSUK_5:func.2">RAT</a> 2,4 )
 
<b>by </b><i><a class="ref" href="borsuk_5.html#T52" title="BORSUK_5:th.52">BORSUK_5:52</a>, <a class="ref" href="tarski.html#D1" title="TARSKI:def.1">TARSKI:def 1</a></i>;<br/>
<a NAME="E6:34"/><b>then </b>
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default">1</span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="borsuk_5.html#K2" title="BORSUK_5:func.2">RAT</a> 2,4</span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E7:34"/><b>then </b>
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><span class="p2"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default">1</span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p2">(<span class="default"><a href="borsuk_5.html#K2" title="BORSUK_5:func.2">RAT</a> 2,4</span>)</span></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default">4,5</span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 
<b>by </b><i><a class="txt" href="kurato_1.html#E3:34"><i><font color="Green" title="E32">A2</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<b>hence </b><a NAME="E8:34"/>
 <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a> 
 <b>by </b><i><a class="txt" href="kurato_1.html#E2:34"><i><font color="Green" title="E31">A1</font></i></a>, <a class="txt" href="kurato_1.html#E4:34"><i><font color="Green" title="E33">A3</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>


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