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<b>assume </b><a NAME="E1:8_1_1"/>
 <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  is <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:8_1_1"/><b>then </b>
 <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">omega</a> 
 
<b>by </b><i><a class="ref" href="card_3.html#D15" title="CARD_3:def.15">CARD_3:def 15</a></i>;<br/>
<b>hence </b><a NAME="E3:8_1_1"/>
contradiction
 <b>by </b><i><a class="ref" href="topgen_3.html#T30" title="TOPGEN_3:th.30">TOPGEN_3:30</a>, <a class="ref" href="topgen_3.html#D4" title="TOPGEN_3:def.4">TOPGEN_3:def 4</a></i>; <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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