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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">p'</font> be   <a href="afinsq_1.html#NM1">XFinSequence</a>;<br/><b>let </b><font color="Maroon">q'</font> be   <a href="afinsq_1.html#NM1">XFinSequence</a>;<br/>





<b>assume </b><a NAME="E1:2"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">n</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="afinsq_1.html#K2">dom</a> <font color="Maroon">p'</font>
 ;<br/>

<a NAME="E2:2"/>
 <a href="afinsq_1.html#K2">dom</a> <font color="Maroon">p'</font> <a href="hidden.html#R1">=</a>  <a href="afinsq_1.html#K1">len</a> <font color="Maroon">p'</font>
 
<b>by </b><i><a class="ref" href="afinsq_1.html#D1">AFINSQ_1:def 1</a></i>;<br/>
<a NAME="E3:2"/><b>then </b>
<font color="Maroon">n</font> <a href="tarski.html#R1">c=</a>  <a href="afinsq_1.html#K2">dom</a> <font color="Maroon">p'</font>
 
<b>by </b><i>, <a class="ref" href="card_1.html#T56">CARD_1:56</a></i>;<br/>
<a NAME="E4:2"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p'</font> <a href="ordinal4.html#K1">^</a> <font color="Maroon">q'</font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="afinsq_1.html#K2">dom</a> <font color="Maroon">p'</font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">p'</font> <a href="ordinal4.html#K1">^</a> <font color="Maroon">q'</font></span>)</span> <a href="card_fin.html#K3">|</a> <font color="Maroon">n</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T103">RELAT_1:103</a></i>;<br/>
<b>hence </b><a NAME="E5:2"/>
<span class="p1">(<span class="default"><font color="Maroon">p'</font> <a href="ordinal4.html#K1">^</a> <font color="Maroon">q'</font></span>)</span> <a href="card_fin.html#K3">|</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p'</font> <a href="card_fin.html#K3">|</a> <font color="Maroon">n</font>
 <b>by </b><i/>;<br/>


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