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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="E1:3_2_1"/><i><font color="Green" title="E7">A2</font></i>: 
<font color="Maroon" title="c1">X</font> is <a href="membered.html#V4" title="MEMBERED:attr.4">integer-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#D3" target="_self" title="MEMBERED:def.3">MEMBERED:def 3</a><br/>

<b>assume </b><a NAME="E2:3_2_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="E3:3_2_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> is <a href="int_1.html#V1" title="INT_1:attr.1">integer</a>
 
<b>by </b><i><a class="txt" href="membered.html#E1:3_2_1"><i><font color="Green" title="E7">A2</font></i></a>, <a class="ref" href="membered.html#D4" target="_self" title="MEMBERED:def.4">Def4</a></i>;<br/>
<a NAME="E4:3_2_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></i>;<br/>
<a NAME="E5:3_2_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#K4" title="NUMBERS:func.4">INT</a> 
 
;<br/>
<b>hence </b><a NAME="E6:3_2_1"/>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K3" title="NUMBERS:func.3">RAT</a> 
 <b>by </b><i><a class="ref" href="numbers.html#T14" title="NUMBERS:th.14">NUMBERS:14</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="rat_1.html#D2" title="RAT_1:def.2">RAT_1:def 2</a><br/>


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