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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>assume </b><a NAME="E1:2_4_1"/><i><font color="Green" title="E7">A4</font></i>: 
<font color="Maroon" title="c1">X</font> is <a href="membered.html#V3" title="MEMBERED:attr.3">real-membered</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c2">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="membered.html#D2" target="_self" title="MEMBERED:def.2">MEMBERED:def 2</a><br/>

<b>assume </b><a NAME="E2:2_4_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">X</font>
 ;<br/>

<a NAME="E3:2_4_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> is <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>
 
<b>by </b><i><a class="txt" href="membered.html#E1:2_4_1"><i><font color="Green" title="E7">A4</font></i></a>, <a class="ref" href="membered.html#D3" target="_self" title="MEMBERED:def.3">Def3</a></i>;<br/>
<a NAME="E4:2_4_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
<b>by </b><i><a class="ref" href="xreal_0.html#D1" title="XREAL_0:def.1">XREAL_0:def 1</a></i>;<br/>
<b>hence </b><a NAME="E5:2_4_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K7" title="NUMBERS:func.7">ExtREAL</a> 
 <b>by </b><i><a class="ref" href="numbers.html#T31" title="NUMBERS:th.31">NUMBERS:31</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="xxreal_0.html#D1" title="XXREAL_0:def.1">XXREAL_0:def 1</a><br/>


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