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<b>let </b><font color="Maroon">Y</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">a1</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">b1</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">c1</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">a2</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">b2</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">c2</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">Y</font>,<a href="margrel1.html#K6">BOOLEAN</a> ;<br/>



<a NAME="E1:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:30"/><b>then </b><i><font color="Green">E22</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E3:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E5:30"/><b>then </b><i><font color="Green">E23</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_6.html#T18">BVFUNC_6:18</a></i>;<br/>
<a NAME="E6:30"/>
<span class="p1">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <span class="p1">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E7:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E8:30"/><b>then </b><i><font color="Green">E29</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_5.html#T10">BVFUNC_5:10</a></i>;<br/>
<a NAME="E9:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a>  <a href="valuat_1.html#K5">'not'</a> <span class="p1">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E10:30"/><b>then </b><i><font color="Green">E30</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E11:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a>  <a href="valuat_1.html#K5">'not'</a> <span class="p1">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E12:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E13:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_6.html#T18">BVFUNC_6:18</a></i>;<br/>
<a NAME="E14:30"/><b>then </b><i><font color="Green">E31</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p3">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_6.html#T18">BVFUNC_6:18</a></i>;<br/>
<span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bvfunc_1.html#T17">BVFUNC_1:17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">b2</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bvfunc_1.html#T17">BVFUNC_1:17</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bvfunc_4.html#T8">BVFUNC_4:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon">c2</font> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bvfunc_4.html#T8">BVFUNC_4:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span>
<b>by </b><i><a class="ref" href="bvfunc_7.html#T5">BVFUNC_7:5</a></i>
;<br/>
<a NAME="E16:30"/><b>then </b><i><font color="Green">E32</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p4">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p4">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_7.html#T12">BVFUNC_7:12</a></i>;<br/>
<a NAME="E17:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p4">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b2</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c2</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p4">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_6.html#T39">BVFUNC_6:39</a></i>;<br/>
<a NAME="E18:30"/><b>then </b><i><font color="Green">E39</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="txt" href="bvfunc_9.html#E1"><i><font color="Green">Lemma19</font></i></a>, <a class="ref" href="bvfunc_5.html#T10">BVFUNC_5:10</a></i>;<br/>
<a NAME="E19:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font>
 
<b>by </b><i/>;<br/>
<a NAME="E20:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E21:30"/><b>then </b><i><font color="Green">E49</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i>, <a class="ref" href="bvfunc_6.html#T18">BVFUNC_6:18</a></i>;<br/>
<a NAME="E22:30"/><i><font color="Green">E50</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T11">BVFUNC_1:11</a></i>;<br/>
<a NAME="E23:30"/>
<span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E24:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="txt" href="bvfunc_9.html#E2:30"><i><font color="Green">E22</font></i></a>, <a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E25:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <font color="Maroon">a2</font></span>)</span></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="txt" href="bvfunc_9.html#E2"><i><font color="Green">Lemma21</font></i></a>, <a class="ref" href="bvfunc_5.html#T10">BVFUNC_5:10</a></i>;<br/>
<a NAME="E26:30"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon">a2</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">a1</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bvfunc_1.html#K17">I_el</a> <font color="Maroon">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_4.html#T8">BVFUNC_4:8</a></i>;<br/>
<b>hence </b><a NAME="E27:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">b2</font></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c1</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">b1</font></span>)</span> <a href="bvfunc_1.html#K6">'or'</a> <font color="Maroon">c1</font></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p2">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">b2</font></span>)</span></span>)</span></span>)</span> <a href="valuat_1.html#K6">'&amp;'</a> <span class="p1">(<span class="default"><a href="valuat_1.html#K5">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">a2</font> <a href="valuat_1.html#K6">'&amp;'</a> <font color="Maroon">c2</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1">'&lt;'</a> <font color="Maroon">a2</font> <a href="bvfunc_1.html#K12">'imp'</a> <font color="Maroon">a1</font>
 <b>by </b><i><a class="ref" href="bvfunc_1.html#T19">BVFUNC_1:19</a></i>;<br/>


</div>
