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<span class="kw">let </span><font color="Maroon" title="c4">e</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">w1</font>,<font color="Maroon" title="c2">w2</font>,<font color="Maroon" title="c3">w3</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> implies <font color="Maroon" title="c4">e</font> is  <a href="rat_1.html#V1" title="RAT_1:attr.1">rational</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:52_1_1"/>
( <font color="Maroon" title="c4">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c1">w1</font>,<font color="Maroon" title="c2">w2</font>,<font color="Maroon" title="c3">w3</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span> implies <font color="Maroon" title="c4">e</font> is  <a href="rat_1.html#V1" title="RAT_1:attr.1">rational</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#D1" title="ENUMSET1:def.1">ENUMSET1:def 1</a></span>; <a class="txt" 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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