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<b>let </b><font color="Maroon" title="c1">X</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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">q3</font> being  <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> holds <br/> ( <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> iff <font color="Olive" title="b1">q3</font> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> )</span><br/><b>let </b><font color="Maroon" title="c2">q3</font> be   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> iff <font color="Maroon" title="c2">q3</font> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> )</span><br/>



<span class="p1">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> <font color="Maroon" title="c2">q3</font></span>)</span> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">q3</font> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <font color="Maroon" title="c1">X</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> <font color="Maroon" title="c2">q3</font></span>)</span> <a href="real_1.html#K7" title="REAL_1:func.7">+</a> <font color="Maroon" title="c2">q3</font></span>)</span> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <font color="Maroon" title="c1">X</font>
<b>by </b><i><a class="ref" href="pscomp_1.html#T22" target="_self" title="PSCOMP_1:th.22">Th22</a></i>
<br/>.= 
<font color="Maroon" title="c1">X</font>
<b>by </b><i><a class="ref" href="pscomp_1.html#T21" target="_self" title="PSCOMP_1:th.21">Th21</a></i>
;<br/>
<b>hence </b><a NAME="E2:42"/>
( <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> iff <font color="Maroon" title="c2">q3</font> <a href="measure6.html#K4" title="MEASURE6:func.4">++</a> <font color="Maroon" title="c1">X</font> is <a href="rcomp_1.html#V2" title="RCOMP_1:attr.2">closed</a> )
 <b>by </b><i><a class="txt" href="pscomp_1.html#E40"><i><font color="Green" title="E26">Lm6</font></i></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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