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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: NOMIN_3:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font>, <font color="Olive" title="b4">r</font>, <font color="Olive" title="b5">s</font> being   <a href="partpr_1.html#NM1" title="PARTPR_1:NM.1">PartialPredicate</a> of <font color="Olive" title="b1">D</font>  st <font color="Olive" title="b2">p</font> <a href="nomin_3.html#R3" title="NOMIN_3:pred.3">||=</a> <font color="Olive" title="b3">q</font> &amp; <font color="Olive" title="b4">r</font> <a href="nomin_3.html#R3" title="NOMIN_3:pred.3">||=</a> <font color="Olive" title="b5">s</font> holds <br/> <a href="partpr_1.html#K5" title="PARTPR_1:func.5">PP_or</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b4">r</font>) <a href="nomin_3.html#R3" title="NOMIN_3:pred.3">||=</a>  <a href="partpr_1.html#K5" title="PARTPR_1:func.5">PP_or</a> (<font color="Olive" title="b3">q</font>,<font color="Olive" title="b5">s</font>)</div></div>
