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<b>thus </b><a NAME="E1:76_1_1"/>
( <font color="Maroon">X</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">Y</font> implies for <font color="Olive">w</font> being <a href="rat_1.html#V1">rational</a>  <a href="ordinal1.html#NM1" target="_self">number</a>   st <font color="Olive">w</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> holds <br/><font color="Olive">w</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Y</font> )
 ;<br/>

<b>assume </b><a NAME="E2:76_1_1"/><i><font color="Green">E18</font></i>: 
for <font color="Olive">w</font> being <a href="rat_1.html#V1">rational</a>  <a href="ordinal1.html#NM1" target="_self">number</a>   st <font color="Olive">w</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font> holds <br/><font color="Olive">w</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Y</font>
 ;<br/>

<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> ; <i><font color="Red">:: according to </font></i><a class="ref" href="membered.html#D7" target="_self">MEMBERED:def 7</a><br/>

<b>assume </b><a NAME="E3:76_1_1"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 ;<br/>

<a NAME="E4:76_1_1"/><b>then </b>
<font color="Maroon">r</font> is <a href="rat_1.html#V1">rational</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:76_1_1"/>
<font color="Maroon">r</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Y</font>
 <b>by </b><i><a class="txt" href="membered.html#E3:76_1_1"><i><font color="Green">E19</font></i></a>, </i>;<br/>


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