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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> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">q</font> <a href="xboolean.html#K9" title="XBOOLEAN:func.9">'nor'</a> <font color="Maroon" title="c3">r</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c2">q</font></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c3">r</font></span>)</span></span><br/>





<b>thus </b><font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">q</font> <a href="xboolean.html#K9" title="XBOOLEAN:func.9">'nor'</a> <font color="Maroon" title="c3">r</font></span>)</span> = 
<font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c2">q</font></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c3">r</font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p2">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c2">q</font></span>)</span></span>)</span> <a href="xboolean.html#K4" title="XBOOLEAN:func.4">'&amp;'</a> <span class="p1">(<span class="default"><a href="xboolean.html#K3" title="XBOOLEAN:func.3">'not'</a> <font color="Maroon" title="c3">r</font></span>)</span>

; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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