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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: COHSP_1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</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>   st <font color="Olive" title="b1">X</font> <a href="cohsp_1.html#R1" title="COHSP_1:pred.1">includes_lattice_of</a> <font color="Olive" title="b1">X</font> holds <br/>( <font color="Olive" title="b1">X</font> is  <a href="cohsp_1.html#V1" title="COHSP_1:attr.1">c=directed</a>  &amp; <font color="Olive" title="b1">X</font> is  <a href="cohsp_1.html#V2" title="COHSP_1:attr.2">c=filtered</a>  )</div></div>
