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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: GATE_1:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">d</font>, <font color="Olive" title="b5">e</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>  or  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="b3">c</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  or  not <font color="Olive" title="b4">d</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  or  not <font color="Olive" title="b5">e</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) iff  not  <a href="gate_1.html#K19" title="GATE_1:func.19">OR5</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b5">e</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="gate_1.html#D19" target="_self" onmouseover="rs('gate_1/D19')" onmouseout="rh()">Def19</a></span>;<br/></div></div>
