<?xml version="1.0"?>
<div class="add">

<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="E1:62"/><i><font color="Green" title="E48">A1</font></i>: 
<span class="p1">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">].-infty,</a><span class="default">1</span><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">.[</a></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">1,2</span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 
<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="borsuk_5.html#T95" title="BORSUK_5:th.95">BORSUK_5:95</a></i>;<br/>
<a NAME="E2:62"/><i><font color="Green" title="E49">A2</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">].-infty,</a><span class="default">2</span><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">.[</a></span>
 
<b>by </b><i><a class="ref" href="kurato_1.html#T16" target="_self" title="KURATO_1:th.16">Th16</a>, <a class="ref" href="borsuk_5.html#T99" title="BORSUK_5:th.99">BORSUK_5:99</a></i>;<br/>
<a NAME="E3:62"/><i><font color="Green" title="E50">A3</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">].</a><span class="default">4</span><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">,+infty.[</a></span>
 
<b>by </b><i><a class="ref" href="kurato_1.html#T23" target="_self" title="KURATO_1:th.23">Th23</a>, <a class="ref" href="borsuk_5.html#T98" title="BORSUK_5:th.98">BORSUK_5:98</a></i>;<br/>
<a NAME="E4:62"/><i><font color="Green" title="E51">A4</font></i>: 
4 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T15" target="_self" title="KURATO_1:th.15">Th15</a>, <a class="ref" href="borsuk_5.html#T14" title="BORSUK_5:th.14">BORSUK_5:14</a></i>;<br/>
<a NAME="E5:62"/>
6 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">].</a><span class="default">5</span><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">,+infty.[</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="E6:62"/><b>then </b><i><font color="Green" title="E52">A5</font></i>: 
6 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T20" target="_self" title="KURATO_1:th.20">Th20</a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E7:62"/><i><font color="Green" title="E53">A6</font></i>: 
5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T24" target="_self" title="KURATO_1:th.24">Th24</a>, <a class="ref" href="borsuk_5.html#T14" title="BORSUK_5:th.14">BORSUK_5:14</a></i>;<br/>
<a NAME="E8:62"/>
( not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">].-infty,</a><span class="default">1</span><a href="borsuk_5.html#NK2" title="BORSUK_5:NK.2">.[</a></span> &amp; 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">1,2</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#T17" title="BORSUK_5:th.17">BORSUK_5:17</a>, <a class="ref" href="rcomp_1.html#T47" title="RCOMP_1:th.47">RCOMP_1:47</a></i>;<br/>
<a NAME="E9:62"/><b>then </b><i><font color="Green" title="E54">A7</font></i>: 
<span class="p1">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E1:62"><i><font color="Green" title="E48">A1</font></i></a>, <a class="txt" href="kurato_1.html#E7:62"><i><font color="Green" title="E53">A6</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E10:62"/>
<span class="p1">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p3">(<span class="default"><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> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T31" target="_self" title="KURATO_1:th.31">Th31</a>, <a class="ref" href="borsuk_5.html#T105" title="BORSUK_5:th.105">BORSUK_5:105</a></i>;<br/>
<a NAME="E11:62"/><b>then </b><i><font color="Green" title="E55">A8</font></i>: 
<span class="p1">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="tops_1.html#D1" title="TOPS_1:def.1">TOPS_1:def 1</a></i>;<br/>
<a NAME="E12:62"/><i><font color="Green" title="E56">A9</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E2:62"><i><font color="Green" title="E49">A2</font></i></a>, <a class="txt" href="kurato_1.html#E4:62"><i><font color="Green" title="E51">A4</font></i></a>, <a class="ref" href="borsuk_5.html#T17" title="BORSUK_5:th.17">BORSUK_5:17</a></i>;<br/>
<a NAME="E13:62"/><i><font color="Green" title="E57">A10</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E3:62"><i><font color="Green" title="E50">A3</font></i></a>, <a class="txt" href="kurato_1.html#E4:62"><i><font color="Green" title="E51">A4</font></i></a>, <a class="ref" href="borsuk_5.html#T14" title="BORSUK_5:th.14">BORSUK_5:14</a></i>;<br/>
<a NAME="E14:62"/><i><font color="Green" title="E58">A11</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E2:62"><i><font color="Green" title="E49">A2</font></i></a>, <a class="txt" href="kurato_1.html#E6:62"><i><font color="Green" title="E52">A5</font></i></a>, <a class="ref" href="borsuk_5.html#T17" title="BORSUK_5:th.17">BORSUK_5:17</a></i>;<br/>
<a NAME="E15:62"/><i><font color="Green" title="E59">A12</font></i>: 
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T17" target="_self" title="KURATO_1:th.17">Th17</a>, <a class="ref" href="borsuk_5.html#T17" title="BORSUK_5:th.17">BORSUK_5:17</a></i>;<br/>
<a NAME="E16:62"/>
( <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p3">(<span class="default"><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> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  &amp; <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  )
 
<b>by </b><i><a class="ref" href="tops_1.html#D1" title="TOPS_1:def.1">TOPS_1:def 1</a></i>;<br/>
<a NAME="E17:62"/><b>then </b><i><font color="Green" title="E60">A13</font></i>: 
<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T33" target="_self" title="KURATO_1:th.33">Th33</a>, <a class="ref" href="borsuk_5.html#T105" title="BORSUK_5:th.105">BORSUK_5:105</a></i>;<br/>
<a NAME="E18:62"/><i><font color="Green" title="E61">A14</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="E19:62"/>
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">].</a><span class="default">5</span><a href="borsuk_5.html#NK4" title="BORSUK_5:NK.4">,+infty.[</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="E20:62"/><b>then </b><i><font color="Green" title="E62">A15</font></i>: 
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E18:62"><i><font color="Green" title="E61">A14</font></i></a>, <a class="ref" href="kurato_1.html#T20" target="_self" title="KURATO_1:th.20">Th20</a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E21:62"/><i><font color="Green" title="E63">A16</font></i>: 
5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T24" target="_self" title="KURATO_1:th.24">Th24</a>, <a class="ref" href="borsuk_5.html#T14" title="BORSUK_5:th.14">BORSUK_5:14</a></i>;<br/>
<a NAME="E22:62"/>
not 5 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> 
 
<b>by </b><i><a class="ref" href="kurato_1.html#T22" target="_self" title="KURATO_1:th.22">Th22</a>, <a class="ref" href="borsuk_5.html#T17" title="BORSUK_5:th.17">BORSUK_5:17</a></i>;<br/>
<a NAME="E23:62"/><b>then </b>
<span class="p1">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> ,<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> ,<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><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> </span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> ,<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> ,<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> ,<span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <span class="p0">(<span class="default"><a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a>  <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a> </span>)</span></span>)</span> <a href="subset_1.html#K3" title="SUBSET_1:func.3">`</a>  <a href="borsuk_5.html#R1" title="BORSUK_5:pred.1">are_mutually_different</a> 
 
<b>by </b><i><a class="txt" href="kurato_1.html#E9:62"><i><font color="Green" title="E54">A7</font></i></a>, <a class="txt" href="kurato_1.html#E11:62"><i><font color="Green" title="E55">A8</font></i></a>, <a class="txt" href="kurato_1.html#E12:62"><i><font color="Green" title="E56">A9</font></i></a>, <a class="txt" href="kurato_1.html#E13:62"><i><font color="Green" title="E57">A10</font></i></a>, <a class="txt" href="kurato_1.html#E14:62"><i><font color="Green" title="E58">A11</font></i></a>, <a class="txt" href="kurato_1.html#E15:62"><i><font color="Green" title="E59">A12</font></i></a>, <a class="txt" href="kurato_1.html#E17:62"><i><font color="Green" title="E60">A13</font></i></a>, <a class="txt" href="kurato_1.html#E20:62"><i><font color="Green" title="E62">A15</font></i></a>, <a class="txt" href="kurato_1.html#E21:62"><i><font color="Green" title="E63">A16</font></i></a>, <a class="ref" href="borsuk_5.html#D1" title="BORSUK_5:def.1">BORSUK_5:def 1</a></i>;<br/>
<b>hence </b><a NAME="E24:62"/>
 <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="kurato_1.html#K4" title="KURATO_1:func.4">Kurat14OpPart</a> <a href="kurato_1.html#K6" title="KURATO_1:func.6">KurExSet</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6
 <b>by </b><i><a class="ref" href="borsuk_5.html#T4" title="BORSUK_5:th.4">BORSUK_5:4</a></i>;<br/>


</div>
