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<b>let </b><font color="Maroon">r</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">X</font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">q3</font> be   <a href="real_1.html#NM1">Real</a>;<br/>





<b>thus </b><a NAME="E1:32"/>
( <font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> implies <font color="Maroon">q3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">q3</font> <a href="measure6.html#K6">+</a> <font color="Maroon">X</font> )
 ;<br/>

<b>assume </b><a NAME="E2:32"/>
<font color="Maroon">q3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">q3</font> <a href="measure6.html#K6">+</a> <font color="Maroon">X</font>
 ;<br/>

<a NAME="E3:32"/><b>then </b>
 ex <font color="Olive">mr</font> being  <a href="real_1.html#NM1">Real</a> st <br/>( <font color="Maroon">q3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">r</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q3</font> <a href="real_1.html#K3">+</a> <font color="Olive">mr</font> &amp; <font color="Olive">mr</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> )
 
;<br/>
<b>hence </b><a NAME="E4:32"/>
<font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 ;<br/>


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