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<b>reconsider </b><font color="Maroon" title="c1">A</font> =  <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a>  as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="topmetr.html#K3" title="TOPMETR:func.3">R^1</a>  <b>by </b><i><a class="ref" href="numbers.html#T12" title="NUMBERS:th.12">NUMBERS:12</a>, <a class="ref" href="topmetr.html#T24" title="TOPMETR:th.24">TOPMETR:24</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c2">B</font> =  <a href="borsuk_5.html#K1" title="BORSUK_5:func.1">IRRAT</a>  as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="topmetr.html#K3" title="TOPMETR:func.3">R^1</a>  <b>by </b><i><a class="ref" href="topmetr.html#T24" title="TOPMETR:th.24">TOPMETR:24</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c1">A</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c2">B</font>
;<br/>

<font color="Maroon" title="c1">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c2">B</font> = 
<a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
<b>by </b><i><a class="ref" href="borsuk_5.html#D3" title="BORSUK_5:def.3">BORSUK_5:def 3</a>, <a class="ref" href="xboole_1.html#T39" title="XBOOLE_1:th.39">XBOOLE_1:39</a></i>
<br/>.= 
 <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
<b>by </b><i><a class="ref" href="numbers.html#T12" title="NUMBERS:th.12">NUMBERS:12</a>, <a class="ref" href="xboole_1.html#T12" title="XBOOLE_1:th.12">XBOOLE_1:12</a></i>
;<br/>
<b>hence </b><a NAME="E4:88"/>
( <font color="Maroon" title="c1">A</font> is <a href="tops_1.html#V2" title="TOPS_1:attr.2">boundary</a> &amp; <font color="Maroon" title="c2">B</font> is <a href="tops_1.html#V2" title="TOPS_1:attr.2">boundary</a> &amp; not <font color="Maroon" title="c1">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c2">B</font> is <a href="tops_1.html#V2" title="TOPS_1:attr.2">boundary</a> )
 <b>by </b><i><a class="ref" href="topgen_1.html#T56" target="_self" title="TOPGEN_1:th.56">Th56</a>, <a class="ref" href="topgen_1.html#T57" target="_self" title="TOPGEN_1:th.57">Th57</a>, <a class="ref" href="topgen_1.html#T58" target="_self" title="TOPGEN_1:th.58">Th58</a></i>;<br/>


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