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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <font color="Maroon" title="c1">K</font>,1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">K</font> &amp;  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 1,<font color="Maroon" title="c1">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 )</span><br/>

<b>thus </b> <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <font color="Maroon" title="c1">K</font>,1 = 
 <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">K</font>
<b>by </b><i><a class="ref" href="funct_5.html#T65" title="FUNCT_5:th.65">FUNCT_5:65</a>, <a class="ref" href="ordinal3.html#T18" title="ORDINAL3:th.18">ORDINAL3:18</a></i>
<br/>.= 
<font color="Maroon" title="c1">K</font>
<b>by </b><i><a class="ref" href="card_1.html#D5" title="CARD_1:def.5">CARD_1:def 5</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 1,<font color="Maroon" title="c1">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</span><br/>

<b>thus </b> <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 1,<font color="Maroon" title="c1">K</font> = 
 <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
<b>by </b><i><a class="ref" href="funct_5.html#T66" title="FUNCT_5:th.66">FUNCT_5:66</a>, <a class="ref" href="ordinal3.html#T18" title="ORDINAL3:th.18">ORDINAL3:18</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="card_1.html#T50" title="CARD_1:th.50">CARD_1:50</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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