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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> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is <a href="membered.html#V5" title="MEMBERED:attr.5">integer-membered</a> implies <font color="Maroon" title="c1">X</font> is <a href="membered.html#V4" title="MEMBERED:attr.4">rational-membered</a> )</span><br/>

<b>assume </b><a NAME="E1:2_2_1"/><i><font color="Green" title="E7">A2</font></i>: 
<font color="Maroon" title="c1">X</font> is <a href="membered.html#V5" title="MEMBERED:attr.5">integer-membered</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">X</font> is <a href="membered.html#V4" title="MEMBERED:attr.4">rational-membered</a></span><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#D4" target="_self" title="MEMBERED:def.4">MEMBERED:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <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> implies <font color="Maroon" title="c2">x</font> is <a href="rat_1.html#V1" title="RAT_1:attr.1">rational</a> )</span><br/>

<b>assume </b><a NAME="E2:2_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>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">x</font> is <a href="rat_1.html#V1" title="RAT_1:attr.1">rational</a></span><br/>

<a NAME="E3:2_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#E1:2_2_1"><i><font color="Green" title="E7">A2</font></i></a>, <a class="ref" href="membered.html#D5" target="_self" title="MEMBERED:def.5">Def5</a></i>;<br/>
<a NAME="E4:2_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> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:2_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> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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