<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">K</font>, <font color="Maroon" title="c2">M</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> <span class="p1">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span>,2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span><br/>



<b>thus </b> <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span>,2 = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T22" target="_self" title="CARD_2:th.22">Th22</a>, <a class="ref" href="funct_5.html#T73" title="FUNCT_5:th.73">FUNCT_5:73</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T37" target="_self" title="CARD_2:th.37">Th37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T37" target="_self" title="CARD_2:th.37">Th37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T37" target="_self" title="CARD_2:th.37">Th37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T31" target="_self" title="CARD_2:th.31">Th31</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T31" target="_self" title="CARD_2:th.31">Th31</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default">2 <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T36" target="_self" title="CARD_2:th.36">Th36</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">K</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c1">K</font></span>)</span> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span></span>)</span> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">M</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">M</font></span>)</span>
<b>by </b><i><a class="ref" href="card_2.html#T35" target="_self" title="CARD_2:th.35">Th35</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
