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<span class="kw">let </span><font color="Maroon" title="c3">e</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="membered.html#D2" onmouseover="rs('membered/D2')" onmouseout="rh()">MEMBERED:def 2</a> <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"> (  not <font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">F</font> <a href="member_1.html#K12" title="MEMBER_1:func.12">**</a> <font color="Maroon" title="c2">G</font> or <font color="Maroon" title="c3">e</font> is  <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:129_1_1"/>
<font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">F</font> <a href="member_1.html#K12" title="MEMBER_1:func.12">**</a> <font color="Maroon" title="c2">G</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"> <font color="Maroon" title="c3">e</font> is  <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a> </span><br/>

<a NAME="E2:129_1_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">w1</font>, <font color="Olive" title="b2">w2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st <br/>( <font color="Maroon" title="c3">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">w1</font> <a href="member_1.html#K3" title="MEMBER_1:func.3">*</a> <font color="Olive" title="b2">w2</font> &amp; <font color="Olive" title="b1">w1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">F</font> &amp; <font color="Olive" title="b2">w2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c2">G</font> )
 
;<br/>
<span class="kw">hence </span><a NAME="E3:129_1_1"/>
<font color="Maroon" title="c3">e</font> is  <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a> 
 ; <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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