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<b>take </b>
<span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V1" title="XXREAL_2:attr.1">left_end</a> &amp; not <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V2" title="XXREAL_2:attr.2">right_end</a> &amp; <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">connected</a> )</span><br/>

<b>thus </b><a NAME="E1:125_3_1"/>
( <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V1" title="XXREAL_2:attr.1">left_end</a> &amp; not <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V2" title="XXREAL_2:attr.2">right_end</a> &amp; <span class="p1"><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">[.</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,1</span><a href="xxreal_1.html#K2" title="XXREAL_1:func.2">.[</a></span> is <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">connected</a> )
 <b>by </b><i><a class="ref" href="xxreal_2.html#T34" target="_self" title="XXREAL_2:th.34">Th34</a></i>; <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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