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<b>let </b><font color="Maroon" title="c1">p</font>, <font color="Maroon" title="c2">q</font>, <font color="Maroon" title="c3">r</font> be  <a href="xboolean.html#V1" title="XBOOLEAN:attr.1">boolean</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/>





<a NAME="E1:125"/><i><font color="Green" title="E2">A1</font></i>: 
( <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K1" title="XBOOLEAN:func.1">FALSE</a>  or <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K2" title="XBOOLEAN:func.2">TRUE</a>  )
 
<b>by </b><i><a class="ref" href="xboolean.html#D3" target="_self" title="XBOOLEAN:def.3">Def3</a></i>;<br/>
<a NAME="E2:125"/><i><font color="Green" title="E3">A2</font></i>: 
( <font color="Maroon" title="c2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K1" title="XBOOLEAN:func.1">FALSE</a>  or <font color="Maroon" title="c2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K2" title="XBOOLEAN:func.2">TRUE</a>  )
 
<b>by </b><i><a class="ref" href="xboolean.html#D3" target="_self" title="XBOOLEAN:def.3">Def3</a></i>;<br/>
<a NAME="E3:125"/>
( <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K1" title="XBOOLEAN:func.1">FALSE</a>  or <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K2" title="XBOOLEAN:func.2">TRUE</a>  )
 
<b>by </b><i><a class="ref" href="xboolean.html#D3" target="_self" title="XBOOLEAN:def.3">Def3</a></i>;<br/>
<b>hence </b><a NAME="E4:125"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <font color="Maroon" title="c2">q</font></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">q</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <font color="Maroon" title="c3">r</font></span>)</span></span>)</span> <a href="xboolean.html#K6" title="XBOOLEAN:func.6">=&gt;</a> <span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <font color="Maroon" title="c3">r</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboolean.html#K2" title="XBOOLEAN:func.2">TRUE</a> 
 <b>by </b><i><a class="txt" href="xboolean.html#E1:125"><i><font color="Green" title="E2">A1</font></i></a>, <a class="txt" href="xboolean.html#E2:125"><i><font color="Green" title="E3">A2</font></i></a></i>;<br/>


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