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<span class="kw">assume </span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E2:8_1_1"/><span class="kw">then </span>
 <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> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#D15" title="CARD_3:def.15">CARD_3:def 15</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:8_1_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><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></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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