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<b>let </b><font color="Maroon" title="c1">Y</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> be    <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="fraenkel.html#K1" title="FRAENKEL:func.1">Funcs</a> <font color="Maroon" title="c1">Y</font>,<a href="margrel1.html#K6" title="MARGREL1:func.6">BOOLEAN</a> ;<br/>





<a NAME="E1:35"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="margrel1.html#K16" title="MARGREL1:func.16">'&amp;'</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bvfunc_1.html#K17" title="BVFUNC_1:func.17">I_el</a> <font color="Maroon" title="c1">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_6.html#T35" title="BVFUNC_6:th.35">BVFUNC_6:35</a></i>;<br/>
<a NAME="E2:35"/><b>then </b><i><font color="Green" title="E8">A1</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="margrel1.html#K16" title="MARGREL1:func.16">'&amp;'</a> <font color="Maroon" title="c3">b</font> <a href="bvfunc_1.html#R1" title="BVFUNC_1:pred.1">'&lt;'</a>  <a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19" title="BVFUNC_1:th.19">BVFUNC_1:19</a></i>;<br/>
<a NAME="E3:35"/>
<span class="p1">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span></span>)</span> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="margrel1.html#K16" title="MARGREL1:func.16">'&amp;'</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bvfunc_1.html#K17" title="BVFUNC_1:func.17">I_el</a> <font color="Maroon" title="c1">Y</font>
 
<b>by </b><i><a class="ref" href="bvfunc_6.html#T36" title="BVFUNC_6:th.36">BVFUNC_6:36</a></i>;<br/>
<a NAME="E4:35"/><b>then </b>
 <a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span> <a href="bvfunc_1.html#R1" title="BVFUNC_1:pred.1">'&lt;'</a> <font color="Maroon" title="c2">a</font> <a href="margrel1.html#K16" title="MARGREL1:func.16">'&amp;'</a> <font color="Maroon" title="c3">b</font>
 
<b>by </b><i><a class="ref" href="bvfunc_1.html#T19" title="BVFUNC_1:th.19">BVFUNC_1:19</a></i>;<br/>
<b>hence </b><a NAME="E5:35"/>
<font color="Maroon" title="c2">a</font> <a href="margrel1.html#K16" title="MARGREL1:func.16">'&amp;'</a> <font color="Maroon" title="c3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">'imp'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K15" title="MARGREL1:func.15">'not'</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="bvfunc25.html#E2:35"><i><font color="Green" title="E8">A1</font></i></a>, <a class="ref" href="bvfunc_1.html#T18" title="BVFUNC_1:th.18">BVFUNC_1:18</a></i>;<br/>


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