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<b>let </b><font color="Maroon">p</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">q</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>



<b>assume </b><a NAME="E1:8"/><i><font color="Green">E32</font></i>: 
 <a href="relset_1.html#K5">rng</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="relset_1.html#K5">rng</a> <font color="Maroon">q</font>
 ;<br/>

<b>assume </b><a NAME="E2:8"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">p</font> is <a href="goboard1.html#V1">increasing</a> &amp; <font color="Maroon">q</font> is <a href="goboard1.html#V1">increasing</a> )
 ;<br/>

<a NAME="E3:8"/><b>then </b>
( <font color="Maroon">p</font> is <a href="funct_1.html#V2">one-to-one</a> &amp; <font color="Maroon">q</font> is <a href="funct_1.html#V2">one-to-one</a> )
 
<b>by </b><i><a class="ref" href="jordan7.html#T17">JORDAN7:17</a></i>;<br/>
<a NAME="E4:8"/><b>then </b>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">q</font>
 
<b>by </b><i>, <a class="ref" href="finseq_1.html#T65">FINSEQ_1:65</a></i>;<br/>
<b>hence </b><a NAME="E5:8"/>
<font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font>
 <b>by </b><i>, , <a class="ref" href="goboard2.html#T22">GOBOARD2:22</a></i>;<br/>


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