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

<b>let </b><font color="Maroon">n1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">n2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">n3</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">n4</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">S</font> be   <a href="genealg1.html#NM1">Gene-Set</a>;<br/><b>let </b><font color="Maroon">p1</font> be    <a href="genealg1.html#M1" target="_self">Individual</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">p2</font> be    <a href="genealg1.html#M1" target="_self">Individual</a> of <font color="Maroon">S</font>;<br/>













<a NAME="E1:51"/><i><font color="Green">E33</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_1"><b>proof </b></a><div class="add">

 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_1"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E2:51"/><i><font color="Green">E34</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_2"><b>proof </b></a><div class="add">

 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_2"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E3:51"/><i><font color="Green">E35</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_3"><b>proof </b></a><div class="add">

 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_3"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E4:51"/><i><font color="Green">E36</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_4"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K7" target="_self">crossover</a> <span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K7" target="_self">crossover</a> <span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n3</font>

;<br/>
<b>hence </b><a NAME="E2:51_4"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E5:51"/><i><font color="Green">E37</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_5"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K7" target="_self">crossover</a> <span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K7" target="_self">crossover</a> <span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n2</font>

;<br/>
<b>hence </b><a NAME="E2:51_5"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E6:51"/><i><font color="Green">E38</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_6"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n2</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n2</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n2</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_6"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E7:51"/><i><font color="Green">E39</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_7"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n3</font>

;<br/>
<b>hence </b><a NAME="E2:51_7"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E8:51"/><i><font color="Green">E40</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_8"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

;<br/>
<b>hence </b><a NAME="E2:51_8"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E9:51"/><i><font color="Green">E41</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_9"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n3</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n3</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n3</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_9"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E10:51"/><i><font color="Green">E42</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_10"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_10"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E11:51"/><i><font color="Green">E43</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_11"><b>proof </b></a><div class="add">

 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_11"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E12:51"/><i><font color="Green">E44</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_12"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

;<br/>
<b>hence </b><a NAME="E2:51_12"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E13:51"/><i><font color="Green">E45</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_13"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n2</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n2</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n2</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_13"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E14:51"/><i><font color="Green">E46</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_14"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_14"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E15:51"/><i><font color="Green">E47</font></i>: 
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_15"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_15"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E16:51"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="51_16"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">q1</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
<b>set </b><font color="Maroon">q2</font> =  <a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>;<br/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> = 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">n4</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>

<br/>.= 
 <a href="genealg1.html#K8" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>

<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
<br/>.= 
 <a href="genealg1.html#K7" target="_self">crossover</a> <span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" target="_self">crossover</a> <font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font></span>)</span>,<font color="Maroon">n1</font>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:51_16"/>
 <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>
 ;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E17:51"/>
(  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n3</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n4</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n1</font> &amp;  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n1</font>,<font color="Maroon">n2</font>,<font color="Maroon">n3</font>,<font color="Maroon">n4</font> <a href="hidden.html#R1">=</a>  <a href="genealg1.html#K10" target="_self">crossover</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">n4</font>,<font color="Maroon">n3</font>,<font color="Maroon">n2</font>,<font color="Maroon">n1</font> )
 <b>by </b><i><a class="txt" href="genealg1.html#E1:51"><i><font color="Green">E33</font></i></a>, <a class="txt" href="genealg1.html#E2:51"><i><font color="Green">E34</font></i></a>, <a class="txt" href="genealg1.html#E3:51"><i><font color="Green">E35</font></i></a>, <a class="txt" href="genealg1.html#E4:51"><i><font color="Green">E36</font></i></a>, <a class="txt" href="genealg1.html#E5:51"><i><font color="Green">E37</font></i></a>, <a class="txt" href="genealg1.html#E6:51"><i><font color="Green">E38</font></i></a>, <a class="txt" href="genealg1.html#E7:51"><i><font color="Green">E39</font></i></a>, <a class="txt" href="genealg1.html#E8:51"><i><font color="Green">E40</font></i></a>, <a class="txt" href="genealg1.html#E9:51"><i><font color="Green">E41</font></i></a>, <a class="txt" href="genealg1.html#E10:51"><i><font color="Green">E42</font></i></a>, <a class="txt" href="genealg1.html#E11:51"><i><font color="Green">E43</font></i></a>, <a class="txt" href="genealg1.html#E12:51"><i><font color="Green">E44</font></i></a>, <a class="txt" href="genealg1.html#E13:51"><i><font color="Green">E45</font></i></a>, <a class="txt" href="genealg1.html#E14:51"><i><font color="Green">E46</font></i></a>, <a class="txt" href="genealg1.html#E15:51"><i><font color="Green">E47</font></i></a></i>;<br/>


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