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<span class="kw">reconsider </span><font color="Maroon" title="c3">r</font> = <font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c4">s</font> = <font color="Maroon" title="c2">y</font> as   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="music_s1.html#T2" target="_self" onmouseover="rs('music_s1/T2')" onmouseout="rh()">Th2</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">t</font> = <font color="Maroon" title="c4">s</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c3">r</font> as   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> ;<br/>
<a NAME="E3:23_1_1"/>
<font color="Maroon" title="c5">t</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="music_s1.html#K1" title="MUSIC_S1:func.1">RATPLUS</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="music_s1.html#T2" target="_self" onmouseover="rs('music_s1/T2')" onmouseout="rh()">Th2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:23_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="music_s1.html#K1" title="MUSIC_S1:func.1">RATPLUS</a>  ex <font color="Olive" title="b2">r</font>, <font color="Olive" title="b3">s</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> st <br/>( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">r</font> &amp; <font color="Olive" title="b3">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">y</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Olive" title="b2">r</font> )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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