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

<b>reconsider </b><font color="Maroon" title="c2">D</font> =  <a href="borsuk_1.html#K12" title="BORSUK_1:func.12">TrivDecomp</a> <font color="Maroon" title="c1">X</font> as    <a href="borsuk_1.html#M1" title="BORSUK_1:mode.1">u.s.c._decomposition</a> of <font color="Maroon" title="c1">X</font> <b>by </b><i><a class="ref" href="borsuk_1.html#T82" target="_self" title="BORSUK_1:th.82">Th82</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c2">D</font>
;<br/>

<b>let </b><font color="Maroon" title="c3">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_1.html#D15" target="_self" title="BORSUK_1:def.15">BORSUK_1:def 15</a><br/>

<b>assume </b><a NAME="E2:95_1_1"/>
<font color="Maroon" title="c3">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">D</font>
 ;<br/>

<a NAME="E3:95_1_1"/><b>then </b>
 ex <font color="Olive" title="b1">x</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">X</font> st <font color="Maroon" title="c3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b1">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<b>by </b><i><a class="ref" href="borsuk_1.html#T68" target="_self" title="BORSUK_1:th.68">Th68</a></i>;<br/>
<b>hence </b><a NAME="E4:95_1_1"/>
<font color="Maroon" title="c3">A</font> is <a href="compts_1.html#V6" title="COMPTS_1:attr.6">compact</a>
 <b>by </b><i><a class="ref" href="borsuk_1.html#T41" target="_self" title="BORSUK_1:th.41">Th41</a></i>;<br/>


</div>
