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<b>let </b><font color="Maroon">I1</font> be    <a href="pre_topc.html#L1">TopStruct</a> , <font color="Maroon">I2</font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/>

<b>assume </b><a NAME="E1:102_1_2"/><i><font color="Green">E24</font></i>: 
( ( for <font color="Olive">P</font> being  <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span>  st <font color="Olive">P</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,1</span><a href="rcomp_1.html#K1">.]</a></span> holds <br/><font color="Maroon">I1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> <a href="pre_topc.html#K3">|</a> <font color="Olive">P</font> ) &amp; ( for <font color="Olive">P</font> being  <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span>  st <font color="Olive">P</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,1</span><a href="rcomp_1.html#K1">.]</a></span> holds <br/><font color="Maroon">I2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> <a href="pre_topc.html#K3">|</a> <font color="Olive">P</font> ) )
 ;<br/>

<b>reconsider </b><font color="Maroon">P</font> = <span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,1</span><a href="rcomp_1.html#K1">.]</a></span> as   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> <b>by </b><i><a class="ref" href="borsuk_1.html#T27" target="_self">Th27</a>, <a class="ref" href="metric_1.html#D14">METRIC_1:def 14</a></i>;<br/>
<a NAME="E3:102_1_2"/>
( <font color="Maroon">I1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> <a href="pre_topc.html#K3">|</a> <font color="Maroon">P</font> &amp; <font color="Maroon">I2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K4">TopSpaceMetr</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> <a href="pre_topc.html#K3">|</a> <font color="Maroon">P</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:102_1_2"/>
<font color="Maroon">I1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">I2</font>
 ;<br/>


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