<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def11</font></span>   defines <a href="gate_1.html#K11" title="GATE_1:func.11">MAJ3</a> <a onclick="hs(this)" href="javascript:()">GATE_1:def 11 : <br/></a><span> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( ( ( (  not <font color="Olive" title="b1">a</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b2">b</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) or (  not <font color="Olive" title="b2">b</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b3">c</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) or (  not <font color="Olive" title="b3">c</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b1">a</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) ) implies  <a href="gate_1.html#K11" title="GATE_1:func.11">MAJ3</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="gate_1.html#K1" title="GATE_1:func.1">NOT1</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ) &amp; ( (  not <font color="Olive" title="b1">a</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b2">b</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) or (  not <font color="Olive" title="b2">b</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b3">c</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) or (  not <font color="Olive" title="b3">c</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  not <font color="Olive" title="b1">a</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) or  <a href="gate_1.html#K11" title="GATE_1:func.11">MAJ3</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) );<br/></span></div>
