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<span class="kw">let </span><font color="Maroon" title="c1">n1</font>, <font color="Maroon" title="c2">n2</font>, <font color="Maroon" title="c3">n3</font>, <font color="Maroon" title="c4">n4</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">S</font> being   <a href="genealg1.html#NM1" title="GENEALG1:NM.1">Gene-Set</a><br/>  for <font color="Olive" title="b2">p1</font>, <font color="Olive" title="b3">p2</font> being    <a href="genealg1.html#M1" title="GENEALG1:mode.1">Individual</a> of <font color="Olive" title="b1">S</font> holds <br/> (  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b2">p1</font>,<font color="Olive" title="b3">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) )</span><br/><span class="kw">let </span><font color="Maroon" title="c5">S</font> be   <a href="genealg1.html#NM1" title="GENEALG1:NM.1">Gene-Set</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">p1</font>, <font color="Olive" title="b2">p2</font> being    <a href="genealg1.html#M1" title="GENEALG1:mode.1">Individual</a> of <font color="Maroon" title="c5">S</font> holds <br/> (  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b2">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) )</span><br/><span class="kw">let </span><font color="Maroon" title="c6">p1</font>, <font color="Maroon" title="c7">p2</font> be    <a href="genealg1.html#M1" title="GENEALG1:mode.1">Individual</a> of <font color="Maroon" title="c5">S</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) )</span><br/>













<a NAME="E1:51"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>)

;<br/>
<span class="kw">hence </span><a NAME="E2:51_1"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<span class="lab"><font color="Green" title="E34">A2</font></span>:  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<a NAME="E3:51"/><span class="lab"><font color="Green" title="E35">A3</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_3"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

;<br/>
<span class="kw">hence </span><a NAME="E2:51_3"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E4:51"/><span class="lab"><font color="Green" title="E36">A4</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_4"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_4"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E5:51"/><span class="lab"><font color="Green" title="E37">A5</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_5"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_5"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E6:51"/><span class="lab"><font color="Green" title="E38">A6</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_6"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>)

;<br/>
<span class="kw">hence </span><a NAME="E2:51_6"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E7:51"/><span class="lab"><font color="Green" title="E39">A7</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_7"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_7"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E8:51"/><span class="lab"><font color="Green" title="E40">A8</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_8"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)

;<br/>
<span class="kw">hence </span><a NAME="E2:51_8"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E9:51"/><span class="lab"><font color="Green" title="E41">A9</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_9"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

;<br/>
<span class="kw">hence </span><a NAME="E2:51_9"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E10:51"/><span class="lab"><font color="Green" title="E42">A10</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_10"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c3">n3</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_10"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E11:51"/><span class="lab"><font color="Green" title="E43">A11</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_11"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_11"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<span class="lab"><font color="Green" title="E44">A12</font></span>:  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<a NAME="E13:51"/><span class="lab"><font color="Green" title="E45">A13</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_13"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T26" target="_self" onmouseover="rs('genealg1/T26')" onmouseout="rh()">Th26</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c2">n2</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_13"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E14:51"/><span class="lab"><font color="Green" title="E46">A14</font></span>: 
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="51_14"><span class="kw">proof </span></a><div class="add">

<span class="kw">set </span><font color="Maroon" title="c8">q2</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">q1</font> =  <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>);<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>)

<br/>.= 
 <a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K8" title="GENEALG1:func.8">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T13" target="_self" onmouseover="rs('genealg1/T13')" onmouseout="rh()">Th13</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)

<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c1">n1</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:51_14"/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<span class="lab"><font color="Green" title="E47">A15</font></span>:  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
 <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) = 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
<br/>.= 
 <a href="genealg1.html#K7" title="GENEALG1:func.7">crossover</a> (<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="genealg1.html#K9" title="GENEALG1:func.9">crossover</a> (<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>)</span>)</span>,<font color="Maroon" title="c4">n4</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="genealg1.html#T25" target="_self" onmouseover="rs('genealg1/T25')" onmouseout="rh()">Th25</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E17:51"/>
(  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c3">n3</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c4">n4</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c1">n1</font>) &amp;  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c1">n1</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c4">n4</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="genealg1.html#K10" title="GENEALG1:func.10">crossover</a> (<font color="Maroon" title="c6">p1</font>,<font color="Maroon" title="c7">p2</font>,<font color="Maroon" title="c4">n4</font>,<font color="Maroon" title="c3">n3</font>,<font color="Maroon" title="c2">n2</font>,<font color="Maroon" title="c1">n1</font>) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:51"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="txt" href="#E15:51"><span class="lab"><font color="Green" title="E47">A15</font></span></a>, <a class="txt" href="#E1:51"><span class="lab"><font color="Green" title="E33">A1</font></span></a>, <a class="txt" href="#E8:51"><span class="lab"><font color="Green" title="E40">A8</font></span></a>, <a class="txt" href="#E4:51"><span class="lab"><font color="Green" title="E36">A4</font></span></a>, <a class="txt" href="#E6:51"><span class="lab"><font color="Green" title="E38">A6</font></span></a>, <a class="txt" href="#E3:51"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="txt" href="#E10:51"><span class="lab"><font color="Green" title="E42">A10</font></span></a>, <a class="txt" href="#E14:51"><span class="lab"><font color="Green" title="E46">A14</font></span></a>, <a class="txt" href="#E12:51"><span class="lab"><font color="Green" title="E44">A12</font></span></a>, <a class="txt" href="#E9:51"><span class="lab"><font color="Green" title="E41">A9</font></span></a>, <a class="txt" href="#E13:51"><span class="lab"><font color="Green" title="E45">A13</font></span></a>, <a class="txt" href="#E11:51"><span class="lab"><font color="Green" title="E43">A11</font></span></a>, <a class="txt" href="#E7:51"><span class="lab"><font color="Green" title="E39">A7</font></span></a>, <a class="txt" href="#E5:51"><span class="lab"><font color="Green" title="E37">A5</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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