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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font> be   <a href="card_5.html#NM1" title="CARD_5:NM.1">Aleph</a>;<br/>



<b>assume </b><a NAME="E1:45"/><i><font color="Green" title="E33">A1</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="card_1.html#NR1" title="CARD_1:NR.1">&lt;=`</a> <font color="Maroon" title="c2">b</font>
 ;<br/>

<a NAME="E2:45"/>
( <font color="Maroon" title="c2">b</font> <a href="card_1.html#NR1" title="CARD_1:NR.1">&lt;=`</a> <font color="Maroon" title="c2">b</font> &amp; 2 <a href="card_1.html#NR2" title="CARD_1:NR.2">&lt;`</a> <font color="Maroon" title="c1">a</font> &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> 2 <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> 0 &amp; <font color="Maroon" title="c1">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0 &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> 0 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 )
 
<b>by </b><i><a class="txt" href="card_5.html#E1"><i><font color="Green" title="E1">Lm1</font></i></a>, <a class="ref" href="card_5.html#T25" target="_self" title="CARD_5:th.25">Th25</a></i>;<br/>
<a NAME="E3:45"/><b>then </b><i><font color="Green" title="E34">A2</font></i>: 
 <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<font color="Maroon" title="c2">b</font> <a href="card_1.html#NR1" title="CARD_1:NR.1">&lt;=`</a>  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font>
 
<b>by </b><i><a class="ref" href="card_4.html#T70" title="CARD_4:th.70">CARD_4:70</a></i>;<br/>
<a NAME="E4:45"/>
(  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">a</font> &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">a</font> <a href="card_1.html#NR2" title="CARD_1:NR.2">&lt;`</a>  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <font color="Maroon" title="c1">a</font></span>)</span> &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <font color="Maroon" title="c1">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<span class="p1">(<span class="default"><a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">a</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="card_1.html#T30" title="CARD_1:th.30">CARD_1:30</a>, <a class="ref" href="card_1.html#D5" title="CARD_1:def.5">CARD_1:def 5</a>, <a class="ref" href="card_2.html#T44" title="CARD_2:th.44">CARD_2:44</a></i>;<br/>
<a NAME="E5:45"/><b>then </b>
(  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font> <a href="card_1.html#NR1" title="CARD_1:NR.1">&lt;=`</a>  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <span class="p1">(<span class="default"><a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<font color="Maroon" title="c1">a</font></span>)</span>,<font color="Maroon" title="c2">b</font> &amp;  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <span class="p1">(<span class="default"><a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<font color="Maroon" title="c1">a</font></span>)</span>,<font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">b</font></span>)</span> &amp; <font color="Maroon" title="c1">a</font> <a href="card_2.html#K2" title="CARD_2:func.2">*`</a> <font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">b</font> )
 
<b>by </b><i><a class="txt" href="card_5.html#E1:45"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="card_5.html#T27" target="_self" title="CARD_5:th.27">Th27</a>, <a class="ref" href="card_2.html#T43" title="CARD_2:th.43">CARD_2:43</a>, <a class="ref" href="card_4.html#T70" title="CARD_4:th.70">CARD_4:70</a></i>;<br/>
<b>hence </b><a NAME="E6:45"/>
 <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_2.html#K3" title="CARD_2:func.3">exp</a> 2,<font color="Maroon" title="c2">b</font>
 <b>by </b><i><a class="txt" href="card_5.html#E3:45"><i><font color="Green" title="E34">A2</font></i></a>, <a class="ref" href="xboole_0.html#D10" title="XBOOLE_0:def.10">XBOOLE_0:def 10</a></i>;<br/>


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