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<div><span class="kw">theorem </span><a NAME="T58"><span class="comment"><font color="firebrick">:: PARTPR_1:58</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>  holds   <a href="partpr_1.html#K6" title="PARTPR_1:func.6">PP_and</a> (<span class="p1">(<span class="default"><a href="partpr_1.html#K10" title="PARTPR_1:func.10">PP_BottomPred</a> <font color="Olive" title="b1">D</font></span>)</span>,<span class="p1">(<span class="default"><a href="partpr_1.html#K9" title="PARTPR_1:func.9">PP_False</a> <font color="Olive" title="b1">D</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partpr_1.html#K9" title="PARTPR_1:func.9">PP_False</a> <font color="Olive" title="b1">D</font></div></div>
