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<span class="kw">let </span><font color="Maroon" title="c1">I</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">I</font> is  <a href="measure5.html#V1" title="MEASURE5:attr.1">open_interval</a>  implies <font color="Maroon" title="c1">I</font> is  <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">interval</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:11_1_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="supinf_1.html#NM1" title="SUPINF_1:NM.1">R_eal</a> st <font color="Maroon" title="c1">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="measure5.html#K1" title="MEASURE5:func.1">].</a><span class="default"><font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font></span><a href="measure5.html#K1" title="MEASURE5:func.1">.[</a></span>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="measure5.html#D2" target="_self" title="MEASURE5:def.2">MEASURE5:def 2</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">I</font> is  <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">interval</a> </span><br/>

<span class="kw">hence </span><a NAME="E2:11_1_1"/>
<font color="Maroon" title="c1">I</font> is  <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">interval</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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