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<b>take </b>
 <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a> 
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="connsp_1.html#V2" title="CONNSP_1:attr.2">connected</a> &amp;  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="compts_1.html#V2" title="COMPTS_1:attr.2">compact</a> &amp; not  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="sppol_1.html#V2" title="SPPOL_1:attr.2">vertical</a> &amp; not  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="sppol_1.html#V1" title="SPPOL_1:attr.1">horizontal</a> )</span><br/>

<b>thus </b><a NAME="E1:1_1_1"/>
(  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="connsp_1.html#V2" title="CONNSP_1:attr.2">connected</a> &amp;  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="compts_1.html#V2" title="COMPTS_1:attr.2">compact</a> &amp; not  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="sppol_1.html#V2" title="SPPOL_1:attr.2">vertical</a> &amp; not  <a href="topreal1.html#K2" title="TOPREAL1:func.2">R^2-unit_square</a>  is <a href="sppol_1.html#V1" title="SPPOL_1:attr.1">horizontal</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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